Hearted Youtube comments on The Math Sorcerer (@TheMathSorcerer) channel.

  1. Your arms are more jacked than mine, therefore i believe you
    35000
  2. Math is way more fun when you study yourself, not in school. I feel like school just keeps you in this box and makes maths SO dull
    27000
  3. "Not everything will make sense and that's normal" - the most relieving thought I got in a while, while studying math.
    18000
  4. "We always want to study what we don't have to study" Oof, guilty.
    16000
  5. When the prof says "it is easy to see" then he looks at his notes
    14000
  6. I feel like my hate of Mathematics was rooted in my lack of a solid foundation. I've been thinking about studying it again and this video definitely helps in guiding me down the right path.
    12000
  7. me, a procastinator: saves this video to watch later
    11000
  8. My theory has always been: we don't practice to learn, we practice for familiarlity AND speed.
    10000
  9. “Don’t worry about this proof, you’ll cover it next semester so we’ll skip over it for now” Next semester: “you should know this proof from last semester, so we’ll skip over it”
    9700
  10. Felt like a real class. Didn't pay attention.
    8100
  11. I was never particularly good at math my whole life. But I focused on what I could do and today I am PhD in engineering. You can do it guys.
    7900
  12. John von Neumann once was approached by a student after class who said "Professor, I don't understand the math you're using". Von Neumann answered: "Young man, one doesn't understand mathematics. One only gets used to it".
    7100
  13. Seriously i m 21 year old and want to restart my schooling in proper way , seriously i want to study math , science and every other subjects from beginning . Subjects are interesting but school makes them only mark oriented. I wish life give me second chance.
    6700
  14. Neil deGrasse Tyson said in an interview about calculus: "If you don't understand something immediately, it doesn't mean you're not good at it". This quote has given me sooo much motivation in my mathematics journey.
    6200
  15. this applies to everything. concentrated and effective effort propels you onto a different plane.
    5800
  16. Jeff bezos hidden brother.
    5700
  17. The Math Sorcerer has entered his swole lumberjack arc.
    5600
  18. prof: dy/dx is not a fraction and you shouldn't think of it as a fraction, it's just a notation prof later: just multiply both sides of the equation by dx, which leaves us with just dy..
    5200
  19. I got 100% on my autism test. I guess that explains my love for maths.
    5200
  20. Just forgot the one where, the student asks a question and the professor explains using the exact same example without really clarifying anything lol
    5100
  21. Bonus points for english being the lecturers second language, and the lecturer randomly making annecdotes in their first language.
    5100
  22. There's free knowledge everywhere... All you have to do is be hungry enough to consume..😁
    4800
  23. Hey, I really like your method. I use very similar approach, except I don’t have a piece of paper and pen. Instead I use a white board, as I like standing and talking while studying. I often imagine that I am a teacher standing infront of a class, having to explain what I have just read. When I get stuck I go back to the textbook and read it again. The process is really fun and you learn a lot, but it is super time consuming. Revising whole chapter can take up to 6-8 hours.
    4500
  24. As a math instructor myself, this video just deflates me. The fact that your advice is correct just goes to show how little most math courses succeed in actually teaching mathematics. There should be absolutely no situation where a student who understands the concepts fails an exam because they are not fast enough. Often times instructors focus so much on timed exams that students come to the conclusion math is about following mysterious rules and algorithms as quickly as you can. True understanding of what's going on under the hood becomes secondary.
    4200
  25. Does anyone else feel they really want to study when they are older as compared to when In school ?
    4200
  26. I have a love–hate relationship with maths. I love the concept behind it and how everything can be explained by it, and I love solving math problems when I get the answers right and understand it. However, I get super frustrated whenever I get calculations wrong, and my math teacher doesn’t really explain stuff to us. But this video is so inspiring and makes the process of math studying like a ritual. Huge thanks, I can’t wait to do math tomorrow actually!
    4000
  27. I started selfstudy mathematics and physics seriously at 27, to get into University. It was very very hard. I remember I was checking some of your videos when you had only a few thousand subs, cause I was so interested and amazed by the math magic. Now im going to the third year of university physics and astronomy. Took me about 3 years of selfstudy!! Even a few hard failures, I actually failed an important math exam three times, which was asked to get in. Some people even told me to give up, even my mother, but my father believed in me, and I think I might have been close to giving up. But I didnt give up and suddenly I got a 73% and accepted to the study which was an old childhood dream. Now im working with one of the most respected physicist in my country on a breakthrough paper related to unified field theory, which is completely from my idea. I still have issues with studying on time and primarily the discipline to do homework :)) I hope people read this comment because I believe it can inspire anyone and I'm still not believing whats happening, the love of my life helped me motivate me a lot though
    3900
  28. I think it's fair to say that the experience of confusion is a sign that your brain is actually working and learning. I try to remind myself that the sensation of "not getting it" is a good thing; it means my mind is being challenged with something new. If your mind is comfortable it's probably not learning anything new.
    3900
  29. “The proof is left as an exercise for the reader” is such chaos energy
    3800
  30. Timestamps 00:00 - Intro 00:31 - Discrete Mathematics 02:32 - Mathematical Proofs 03:36 - Pre-Algebra 04:15 - College Algebra 04:58 - Algebra & Trigonometry 06:01 - Calculus 07:46 - Differential Equations 08:30 - Linear Algebra 09:29 - Mathematicsl Statistics 10:11 - Complex Analysis 10:46 - Mathematical Analysis 11:54 - Abstract Algebra 12:25 - Topology 12:42 - Combinatorics 13:04 - Naive Set Theory 13:26 - Functional Analysis 13:43 - Graph Theory 13:59 - Real Analysis 14:44 - Linear Algebra 15:35 - Calculus 16:09 - Geometry 16:27 - Linear Algebra 16:58 - Outro
    3800
  31. Math textbooks really be having some of the most out of context covers
    3800
  32. speed is a neurological metaphor for memory, when you go fast your brain can tap into instantaneous memory. Whenever you fall off that mode of operation you get into slow / bookmarked thinking, which is good too but different. Waving between the two is key IMO.
    3700
  33. Not to forget Student: "I believe you made a mistake there" Teacher: "I just wanted to see if you're paying attention" Yeah when I get something wrong in my tests I just want to see if you're correcting it thoroughly too
    3500
  34. The "why" was my issue with math. It drove me crazy and made me falsely believe that I was bad at math. Then something I never could have imagined happened. I was in a low level college algebra class that I needed for my bachelor of science degree, and I was struggling hard. My mom had a friend who was a high school math teacher who offered to tutor me. I went to her, but without much hope. Two hours later I walked out of her home understanding algebra like I never had before. From that point on I made A's and B's in math and never needed another tutor session. My moms friend didn't perform magic. What she did was teach me WHY by using analogies. That is how my brain processes apparently, and once I understood the larger concept (in analogous terms) behind what I was being asked to do, it all clicked. From this experience my suspicion is that people who say they are bad at math, but who are otherwise above average in intelligence, are not being taught math the way that their brain processes information. If more math professors were taught to offer simple analogies and even a few storylines to teach math concepts, we would have many more people excelling at least to the undergraduate college algebra level.
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  35. If anyone is having doubts, I learned math from zero after graduating high school. Like I didn't even know fractions. I now have a bachelor's of engineering in chemical engineering. And you too can learn math, just like I did. I highly suggest YouTube to supplement your learning and you will thank yourself for it. As math is used everyday.
    3500
  36. Mathematics was always slightly more interesting when i wasnt studying for school
    3300
  37. Level 5 researcher. When you can pick up a research paper from your area of interest and understand what is going on.
    3200
  38. His eyes are literally staring into my soul, telling me to learn.
    3000
  39. My man just said: "Stop trying to understand math, go outside" And I like it
    2900
  40. I'm studying mathematics at a relatively prestigious university and the workload is TOUGH man, both in terms of volume and difficulty. I just wanted to say that your videos are so wholesome and they are a big source of motivation for me to keep going, keep studying, keep being curious.
    2900
  41. “I don’t really believe in homework, I don’t believe in tests, but I believe in you” 🤣
    2900
  42. “Everyone Understand? No one: “Ok! Great Moving on!”
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  43. YouTube recommended this to me and I am grateful. I'm not a student,my problems are nothing math related, but this actually is good life advice.
    2800
  44. This is profound. My self-study has been hindered by my insistence on fully understanding each and every concept, and formula before moving on.
    2800
  45. The biggest lie I’ve heard and believed for so long was the idea that some people are born to do math and some can’t, believing in this makes you stop trying because its as if it is entirely determined and out of your control. Going back to the basics and really starting from the beginning will help, I never had the right foundation so I struggled whenever the questions would change. There’s no such thing as a “math person”, you can learn anything you want.
    2800
  46. Me: Hey professor, when are your office hours? Professor: Sure, absolutely! 2:13 A.M to 3:01 A.M every other Wendsday when the moon is between waning and waxing gibbon, and Mercury is in retrograde.
    2700
  47. I’m a self learner aged 70 - I feel wonderful having spent 1 hour per day studying maths. You are a super teacher Wizard thank you for your words of wisdom.
    2700
  48. I failed my first math class in university five times, then barely passed. I then spent a whole year (from May to September) studying math non-stop, 4 or so hours daily to pass my second math class, which was mostly calc 2. After that, the next two math classes I had I breezed through, calc 3 and tons of probability etc. hard work pays off.
    2700
  49. The dark side of selfstudy is when you’ve spent 100s of hours mastering a subject and nobody takes your knowledge seriously because you don’t have a degree in said subject. 😢
    2600
  50. why are u staring at my soul?
    2600
  51. The Russians know 3 things really well: vodka, chess. and mathematics.
    2600
  52. Who's the cute little birdie? Is he learning maths, too?
    2500
  53. One downside of not having answers is that self learners can convince themselves that they have a correct understanding of a problem while being off base. Even being slightly off with math can have catastrophic consequences as you learn more
    2500
  54. "It's a conceptual move, not an algebraic one" omfg lol
    2500
  55. you know what would be cool, like a website where you could make an account and have like a skill tree which shows you the different books and the paths that are most recommended to take, just like this video but more interactive and visually pleasing. With sub sets of all the skills and topics that come in each subject, connected together like a cool spider web, that'd be awesome. But thank you for putting this out because this is already something really special!
    2400
  56. Most graduate level textbooks don't come with teacher solution manuals. Some of the exercises are next to impossible, depending on the text. I once got to talk to Edwin Hewitt, author of "Real and Abstract Analysis". I asked him about solutions to the exercises. He laughed and told me that some of them were "real bears", and that at one time he and his co-author worked all of them out. He said that even professors might have a hard time on some of them. First rule of teaching math, don't assign a problem you haven't worked out yourself. Once teaching high school algebra I assigned a "mixture" problem with walnuts and cashews. I was going over my notes before class and got all tangled up in the algebra and kept getting the wrong answer. I knew there would be questions and I panicked. Here I have a Master's and I can't solve a stupid HS algebra problem! When the class came in, I immediately asked who solved the mixture problem. About three or four students raised their hands and I asked the smartest guy in the class to give us his solution. He came up to the board and worked it out. I immediately saw my dumb ass mistake. I complimented him on his excellent work and said, "I couldn't have done it better myself."
    2300
  57. Discrete math, logic, and boolean algebra are really handy for understanding elementary computer science. Even if you don't study computer science, having some familiarity with the math goes a long way in understanding how a computer works.
    2300
  58. Math was always the most difficult subject for me in HS, but at the same time it felt more fulfilling when I actually understood it.
    2200
  59. My very personal opinion about mathbooks not having all solutions is because publishers want to make some money more by selling a separate solutions book.
    2200
  60. Dumb me thought he would teach me entire maths in 18 mins👁👄👁
    2100
  61. Prof: “and the bottom score was 2% and we all know who that was” Student who scored 2%: 😎
    2100
  62. I am 53 years old and I have decided to start studying again. I had no foundation growing up and lots people trying to and holding me down. Now I have gotten rid of the dead weight, I am going to start over from the beginning and do it right and for myself. I am going to try this method and ideas. The whole concept of teaching yourself is appealing to me. 😁😁😁
    2100
  63. What I remember about undergrad engineering was that we were always in the library studying, while the business majors were out at the bar every night.
    1900
  64. Thinking deeply is more important than learning faster in mathematics.
    1900
  65. 1. Gather your supplies. - Timer, pen, paper to write on without any lines. 2. Pick a quiet location, (very secluded and quite spot to sit down). But if you failed at it, try to find a place you can go. 3. Pick a book- grab a mathbook and start reading it. .ex) calculus- James Stewart/ (Advice of reading book) -What section you want to read? -something that's interesting but pushes you a little bit. or you feel uncomfortable. 4. Set the timer to an 1 hour. 5. Start reading a book to make sure you know that definiton -Try writing down the definiton without looking at the book until you know it 6. Prove it on your own without looking at the solution and do a couple of more practice. 7. Continue reading and doing all the examples. 8. Try to understand as much as you can from the examples given in the book. 9. Starting doing as many problems as you can. -Answering to odd problems is a good help. 10. Problems without any examples - Try to go back to the section and gain some information you can use to help solve the problems. 11. Reflect what you did, how meaningful your time was. -> You learn a lot from mathematics. 12. Buy a binder and stack it on it or throw it away. 13. If you feel uncomfortable or confusing about the math concepts, Study more. 14. Pick an another book to understand it completely.
    1800
  66. Maths is interesting WHEN you understand it.😆
    1800
  67. you look like working class jeff bezos
    1700
  68. I'm early in my career of learning college math 20 years after highschool and emotionally this is the biggest change for me, when I start to think "But why???" I replace it with "ok textbook I believe you" and I move on. I've also found that for some of these concepts as you say later it is clicking. Before I could not move on and would also give up as these frustrations built and my foundation weakened.
    1700
  69. Honestly the main reason I cheated on some tests was because the risk of cheating was lower than having to tell my parents I failed the class. Funny thing is the classes I cheated are actually the things I'm best at now in my discipline. In my opinion if you want students to stop cheating it should be made clear that it's okay to fail. Both from the school and parents.
    1700
  70. Book List mentioned in this video Discrete Math books: Discrete Mathematics with Application 2nd edition by Susanna S. Epp Discrete Mathematical Structures by Kolman | Busby | Ross Proof writing books: Mathematical Proofs A Transition to Advanced Mathematics by Gary Chartrand, Albert D. Polimeni, and Ping Zhung An Introduction to Abstract Mathematics by Robert J. Bond and William J. Keane Pre-Algebra: AGS Pre-Algebra The Pacemaker Curriculum Pre-Algebra College Algebra: College Algebra 3rd edition Jerome E. Kaufmann Blitzer College Algebra A Graphical Approach to Algebra & Trigonometry by Hornby, Lial and Rockwold Geometry by Jurgensen Brown King Calculus: Calculus by James Stewart Calculus 3rd edition by Michael Spivak Differential Equations: A first Course in Differential Equations with Modeling Applications 10th edition by Dennis G. Zill Ordinary Differential Equations With Applications by Larry C. Andrews Linear Algebra: Elementary Linear Algebra 3rd edition by Howard Anton Linear Algebra 4th edition by Stephen H. Friedberg, Arnold J. Insel, and Lawrence E. Spence Linear Algebra by Serge Lang Linear Algebra by Kenneth Hoffman and Ray Kunze Finite-Dimensional Vector Spaces 2nd edition by Paul R.Halmos Linear Algebra 3rd edition by Schaum's Outlines Linear Algebra and Its Application 2nd edition by Gilbert Strang Statistics: Mathematical Statistics with Applications 6th edition Dennis D. Wacherly, Wilia Mendenhall III, and Richard L. Scheaffer A First Course in Probability by Sheldon Ross Complex Variables/Complex Analysis: Fundamentals of Complex Analysis with Applications to Engineering and Science 3rd edition by E. B. Saff and A. D. Snider Complex Variables and Applications 7th edition James Ward Brown and Ruel V. Churchill Real Analysis: Analysis I 2nd edition by Terence Tan Analysis II by Terence Tan Advanced Calculus A Course in Mathematical Analysis by Patrick M. Fitzpatrick Principles of Mathematical Analysis by Walter Rudin Elementary Analysis: The Theory of Calculus Abstract Algebra: Abstract Algebra A First Course by Dan Saracino Contemporary Abstract Algebra 3rd edition by Joseph A. Gallian Introduction to Topology 2nd edition by Theodore W. Gamelin and Robert Everist Greene Applied Combinatorics by Alan Tucker Naïve Set Theory by Paul R. Halmos Introductory Functional Analysis with Applications by Kreyszic Graph Theory Ronal Gould Real Analysis 2nd edition by H. L. Royden Real and Complex Analysis by Rudin Algebra by Michael Artin Calculus Made Easy by Silvanus P. Thompson F.R.S. and Martin Gardner
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  71. Prof: “Don't be ashamed of asking anything” Student ask question. Prof: “You should know that already!”
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  72. If you were an "elitist" before, these books will put you in your place. Try doing ALL the problems in the mentioned texts and you'll become humble or you're a genius. Whenever I feel really knowledegable, I simply get humbled rapidly after trying to understand and work problems in the books. There's always something much more to learn.
    1600
  73. “Fleeing” had me thinking the math elders decided he’s committed treason and must be banished
    1600
  74. I would try it but sadly math is my main method of distracting myself away from horrible actions such as going out and touching grass.
    1600
  75. Look at those guns! 🧠 & 💪🏽 are essential!
    1600
  76. "If you really want to be prepared, just do every single problem in the book" I've tried this, it works 🤓
    1500
  77. Prof: so this next theorem is the most important part of this entire course, make sure you really understand it. Also Prof: erases the theorem 2 seconds after writing it down
    1500
  78. "This is calculus 7" "Today we'll be doing some mathematics"
    1500
  79. Biblically accurate math sorcerer
    1500
  80. You were my professor for differential equations a couple years back, I am now in my final semester for Electrical Engineering. With out a doubt you were by far my favorite and best professor iv had for my entire degree. Thank you
    1500
  81. I remember I used to spend hours (3 or 4 sometimes even more) trying to prove some induction problems, every day I tried so hard but I wasn't able to solve them, I didn't want to give up but eventually I did, and I started to wonder what is wrong and so on, I realized my algebra background wasn't good so I spend winter holidays to get better at algebra something like 1 o 2 months, when I got back at those problems everything was so clear now, I was able to solve them in less than 30 minutes. The lesson was, learn to when give up, you cannot fight all your battles.
    1400
  82. Dude straight up does math for fun, I barely passed my math courses in engineering and you turn it into a hobby lol. I also used printing paper not because I'm smart but because it's way cheaper than lined paper. I keep the nice stuff for taking notes and summeries.
    1400
  83. 32 years ago, I decided to study English. My English level was a joke, but 32 years later not too bad because I didn't quit. In 2021, I decided to study JavaScript. It's hard, but I have never skipped studying even a day. I'd say I'm kinda addicted to it because it's fun to learn. I like your videos because you have huge passion for math. It is fantastic. Thank you.
    1400
  84. this is why i pay for internet
    1400
  85. Just sleep 60 min a day and do calculus the rest of the time.
    1400
  86. Not only he mentions what to study and how to study maths but also he provides nitty-gritty details about the overall process such as what pen and pencils you would be comfortable with and what not. REALLY loved it.
    1300
  87. I loved Calc 3.... my professor was a useless nightmare though... Student: Professor... how do you do question 23 on the homework assignment? Nobody in the class was able to get it right... Professor: Oh...23... well that is a variation of problem 74 on page 492 Student: Yes, but what is the answer? Professor: You likely have to use the theorem in chapter 19 section 6 Student: ... we tried that but that does not work... Professor: The theorem in section 6 states: blah blah blah blah blah blah blah, does that answer your question? Student: Not really, can you go over the solution? Professor: Don't worry about it... it is beyond the scope of this class 45 minutes later... Professor: The exam will include all of the material from the last homework set... Student: except #23? Professor: Class, pay special attention to number 23, it will be on the exam and worth 25 points.
    1300
  88. I’ve noticed that when I’m studying math I can’t remember the procedures to solve a problem until I know the concepts inside and out. It takes me longer than others because I have to spend time really getting deep into the fundamentals of the topic or else I won’t remember how to apply it.
    1300
  89. Study, Lift, Hydrate
    1300
  90. In the seventies, when I was at school in the former USSR, we had 6-8 hours every week with mathematics lessons. After school, we had mathematical club (kruzok), as well as chess, physics, chemistry, and biology. The strongest in classes would sit together with a weaker classmate to explain the difficult parts. Our grades would depend on the daily testing (everybody would get a 5-minute small written test before the lesson starts) and at least 2-3 control exams every 3 months, besides the final control test by the end of the semester.
    1300
  91. Once the system pushed "You Probably Shouldn't Watch This", I clicked into there immediately.
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  92. 1.descreate math 2.abstract math 3.algebra 4.trigonometry 5.calculus 6.differential equations 7.linear algebra 8.statistic and probability 9.complex analysis and variable 10.elementary analysis 11.abstract algebra 12.topology and combinatorics and set theory and functional analysis 13.graph theory 14.real analysis 15.geometry
    1300
  93. Smelling the book before starting reading is an important step
    1200
  94. Abusive Calculus should be a class that everyone takes.
    1200
  95. As someone who is primarily self-taught in higher mathematics, I actually started off in the Magician phase with "Book of Proof" and then immediately jumped into Warlock-level texts (e.g., Spivak, Munkres, Loomis and Sternberg, etc.). Because of this, I often (counterintuitively) find myself having an easier time wrapping my brain around the more abstract portions of advanced topics, while becoming instantly lost the moment the author(s) start applying basic trig functions and other such Apprentice-level topics lol
    1200
  96. During USSR era there was a strong culture of education. Education was free, strong, mandatory and respectful.
    1200
  97. I feel flattered, no one had ever stared into my soul like this guy.
    1200
  98. Went back to grad school at 55. Received Math PhD at 63.
    1100
  99. The math teacher we all wanted while growing up. This generation is blessed❤thank you so much sir.
    1100
  100. I'm 35 in medical school. You might need to tune out some friends/family, and anyone else who won't support the vision. You can do what you set your heart to.
    1100
  101. I think elitism is the wrong word, but it's an underlying challenge in maths education (particularly at the early level), where you spend quite a lot of time "learning the language" without really doing anything with it. To take an analogy I read in an excellent book (I believe one of Jordan Ellenberg's books?) - it's like if an English class was focused entirely on things like spelling, grammar, proper sentence structure and so on, but you never read any books or never wrote anything of your own. Or if you had a PE class where you did nothing but drills and conditioning, without ever playing a game. It's like how people who've stopped studying maths at school often see it as mechanical and rigid, whereas people who go study maths degrees or do further research treat it as an art and see it as something really creative - because they get more chances to play the game, even if they have to do more drills along the way. Rigour in math is important because it allows you to explore more of the landscape and be more creative, just as a wider vocabulary and a stronger understand of grammar can help you become more eloquent and make your writing more impactful. But the way maths is presented as an early level makes rigour feel arbitrary and mysterious, because you stop before you get to the fun stuff - there's no payoff for all that rigour, so to speak.
    1100
  102. Hey, I truly agree with what you said. I really want to thank you, because I've managed to turn things around in my life since you released the "How to Learn Math from Start to Finish" video. Heck, I even went up to the nationals in my country's Math Olympiad selections (didn't make it past that, now I'm out of school and the chance is gone, but I've learnt a lot). And I'm extremely indebted to you and Mr.Grant from 3Blue1Brown for making me understand the joys and beauty of math. Thank you, again, very sincerely, Mr. Sorcerer.
    1100
  103. I was born in 1965. When I was 5 years old (in 1970) my mother was in hospital giving birth to my sister. My father took me to work with him for the week (he worked in a bank) and he sat me in the computer room (a very cold room, with a huge mainframe) and asked the programmers to look after me. They had huge stacks of punched cards containing the software they wrote, and one of the programmers was very kind and let me punch holes on spare cards just for fun. I still remember his name: John Moore. He took my cards and fed them into the computer, and told me that my cards had a mistake on them, and the job of a programmer like him was to find mistakes and fix them. It was so fascinating for me at five years old that I became obsessed with computers and with programming. So much so, that I went on to get a degree, a masters, and a PhD in computer science, worked as programmer for many years, and eventually ran my own software company, before selling it and retiring early. I often think back to those days spent with John Moore and how they very definitely shaped my life, and my career in programming.
    1100
  104. Bro looks like he descended from the heavens by doing maths 💀
    1000
  105. So many young people spend their formative years waiting for “adulthood” to wash over them and teach them how to live. Its only years later that they realize that there is no magic age that makes everything make sense, everyone is scared and struggling, but those who are the doing the best are those who take a moment every day to learn to be better.
    1000
  106. -getting ripped -flowing hair, head and face -master of mathematics -vast wisdom on how to best live life The golden era of philosophers is back
    1000
  107. Wished humans would lived 1000s of years. Then I would had finished these books slowly slowly taking my time. And not only these but physics and chemistry also
    1000
  108. Fleeing the country is a wild title! 😭😭
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  109. 1) Set a timer. Just having a timer running will put you in "focus mode" 2) Make it a daily habit. 3) Have a set number of problems to solve in one day. Do not set the bar too high. 4) Have a peaceful/comfortable environment to study 5) Take breaks! If you cannot solve a problem, come back to it. Do not "overtrain" your brain.
    963
  110. Man, if I could properly overcome my excuses and just study Mathematics for 2 hours per day, my math skills would increase significantly. Studying 10-12 hours a day would leave me completely burnt out and more likely to quit studying altogether.
    948
  111. The most annoying thing is how he holds that marker
    945
  112. "Never fear failure; it's a part of the process of getting better."
    939
  113. I love it when I spend an hour on a problem and my answer makes no sense because math is really about the journey not the destination.
    937
  114. This is how I imagine a Math for the liberal Arts class would be.
    926
  115. My math teacher learnt math in the Soviet Union. He’s Cuban and went there for university. He is unbelievably smart.
    921
  116. Comes in first day of University Math teacher: We are already behind by 5 chapters, we need to come in Saturday and Sunday for a full day...
    916
  117. I have a PhD in computer science. During the break, after I had presented a paper at conference about my research, Donald Knuth approached me. I was so excited that such a famous computer scientist wanted to ask me about my work. Until, that is, he asked "Do you know where the john (toilet) is?"
    907
  118. First class of engineering: "Always have a pen with you, you will need to write things down. You don't need a notebook, you can write on your hand, or your shirtsleeves, but you will always need a pen. All engineers worth their salt have a pen with them!"
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  119. In a way, when teachers and administrators let cheaters get away with it, it's all the other students that are cheated. If you're the only student in the class who isn't cheating, then that can really throw off the grading, rankings and ultimately the scholarships, grants, financial aid and selections for admissions elsewhere, including job hirings.
    896
  120. Fianally a mathematician humble enough to give book recommendations instead of trying to explain something in yotuube just to show how much he/she knows. You need to be really humble to do this kind of videos. Most of the mathematicians I know feel like the smarty pants kid of the class.
    892
  121. 8 years ago I tested as having grade 7 math skills. After grade 12 math, I went on to take college algebra. Since then I've been studying chemistry with the goal of getting into a biotechnical program. Never give up, and don't let people discourage you. I spent years believing the teachers who said I was wasting their time. I'm 37 and a single parent. It's never too late.
    884
  122. one of the problems for self-learning is that many authors of math books omit many steps in the demonstrations and that is where the difficulty of studying oneself begins.
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  123. Didn't realize my calc 3 professor put his lectures on youtube.
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  124. Bro's gonna end up creating an entire cult of mathematicians who also happen to go to the gym.
    864
  125. "That book is a property of the Half-Blood Prince!"
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  126. 1:12 1. Basics 2:50 2.Practice 3:04 3. Breakdown 4:27 4. Embrace 5:45 5. Seek help 6:55 6. Real world 8:10 7. Study Habits 9:45 8 . Persistence
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  127. I agree, calc 2 was the hardest calculus class. I also agree that the shell and the disk methods were brutal.
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  128. I regret not focusing more on math I'm 23 and I feel so left behind It's never too late I guess
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  129. Another thing to comment: I had a professor who give us homework with the final solutions to every problem. We just have to show our work that leads to that final answer. I liked this approach, because it helps us stay on the right path of solving problems, and gives us an opportunity to "debug" through the work when we get different results than the final solutions. This type of skill was so transferable in helping me become a better at writing code, where debugging is a important process. Back to the point, I think having the just final answers is what keeps us from going astray.
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  130. Newton used to work super, super hard, until he had a deep understanding of what he was doing with mathematics and genuinely loved it. To fall in love with it like history’s greatest mathematicians will make the hard work easier, but it will still be hard af. Also I heard that the first time Newton sat down and started trying to read Descarte’s La Geometrie, he started working through the first proof in the book, and he just kept going and kept going until he had to give up and go sleep. He actually couldn’t complete it and failed to understand it the first time he tried to read the first proof in that book. Next time he sat down to study he worked through the proof he managed to understand it. Just to be clear that even super genius has to work really hard to become great, and a reminder to not have too high, unrealistic expectations of success in mathematics and understanding quickly. There will always be stuff you can’t understand and deep understanding takes time, and all of history’s greatest mathematicians had great struggles and pains and came through them with deep understanding and more love of mathematics.
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  131. >history test tomorrow >hmm, lemme study some math
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  132. 1. Take good notes 2.Rewrite your notes after class 3.Redo all the exerc. given w.o. looking at your notes. 4.Do all your homework!! (Great for the tests) 5. ASK in class, interact /partcipate (helps memorization) 6.Go to office-hours, if you need help. 7.Go over the teacher's review. 8.Try to read the book line by line, even if you don't understand it. *Something is better than doing anything. 9.Find a good place to do hw/ no interrumptions. 10. Form study groups , talk about maths and make friends. Thanks 💕 ! You might be one of the coolest teachers here in youtube!! your stuff motivates me during these quarantine times ... thanks a bunch, Take care! 😄 Gretings from Lima, Peru 😆 10 is by far the hardest part hahaaa !! 🙈🙈😅
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  133. It is never too late. A very good friend of mine got his PhD in EECS when he was in his early 60's. Now, he is working as a senior staff engineer at the Apple Corporation. You are NEVER too old.
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  134. More than a Professor, this guy is a incredible and empathic human
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  135. My advice will be "Don't be afraid or panic if it takes time. Just concentrate on the moment, on what you are doing. Overtime you will finish and be good at it."
    746
  136. Learning calculus as an adult, I can tell you that the videos online are indispensable, I bought a couple books and they have their insights, but nothing beats practice. Math is like a sport, you have to practice. Workbooks are more important than textbooks.
    746
  137. Dad, I'm smart.
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  138. 00:00 - Intro 00:31 - Discrete Mathematics 02:32 - Mathematical Proofs 03:36 - Pre-Algebra 04:15 - College Algebra 04:58 - Algebra & Trigonometry 06:01 - Calculus 07:46 - Differential Equations 08:30 - Linear Algebra 09:29 - Mathematicsl Statistics 10:11 - Complex Analysis 10:46 - Mathematical Analysis 11:54 - Abstract Algebra 12:25 - Topology 12:42 - Combinatorics 13:04 - Naive Set Theory 13:26 - Functional Analysis 13:43 - Graph Theory 13:59 - Real Analysis 14:44 - Linear Algebra 15:35 - Calculus 16:09 - Geometry 16:27 - Linear Algebra 16:58 - Outro
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  139. Prof: "I have 25+ years experience in this field of Mathematics and my research is in...." Also Prof: doesn't know how to teach
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  140. That thumbnail lmao
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  141. I am a 28 year old high school drop out, I started doing math as a hobby while I was in my early 20's and I am 2 years into a math degree in college now. I wish there were more interviews about people who do math who didn't start when they were 14. I haven't ever seen one.
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  142. 1. take notes 2. do homework early (don't procrastinate) 3. Study for the test (not last minute) 4. Form or go to study groups 5.talk to professors (ask important questions) 6. re-do the homework (work on speed) 7. read math books (his video on math start to finish will give you a general idea on math books) 8. watch math videos (on anything but don't go binge watching, focus on your problems on math topics) 9. at brunt out moment take breaks (remind yourself what you have done and what you are doing, meditation helps too) 10. Go through the struggle and find the beauty of math (think deep about it)
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  143. I can not begin to describe how much I appreciate these videos, and this one in particular! I'm mustering the courage to follow a life long dream of venturing into the world of mathematics and your videos sure helps a lot!
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  144. Believe in myself? I thought he was going to say "WolframAlpha".
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  145. I’m surprised that basic pre-algebra, calculus 1-3, and differential equations are all in the same level of level 1. Very interesting
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  146. Back in '72 I had a chance to talk to Prof. Polya. I told him that I'd read his books (mostly), and it seemed to me that his advice boiled down to 2 things: When faced with a difficult problem 1) do PART of it & try again, or 2) do a SIMILAR problem & try again. As a really low level grad student, kinda challenging a world famous mathematician and teacher, I was expecting to get brusquely Blown Away. Instead, he smiled & replied, "Young man, I am 85 years old and I'm still learning how to do those 2 things." What a man. I've never forgotten, so I guess I really WAS Blown Away.
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  147. As an engineering student who didn't have much time to allocate to studying calc 2, by far the hardest part was the ludicrous number of difficult to identify trig substitutions.
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  148. Real engineers do not erase their errors. This is an ethos drilled into me when I was a student. Journals in pen can save you liability, remind you of your thought process, and even errors have value. Just cross out the mistake (keep legible) an keep going. I even passed some classes because I used pens on tests, I have gotten lots of credit for crossed out mistakes that were actually the right path, or showed full understanding of the concepts.
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  149. Math Sorcerer is like that one kind uncle that serves as the only reason why I should go to family gatherings, he just casually sits beside you, hands you a snack and begins giving you life-changing advise distilled down for a youngster like me to understand.
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  150. "if there is something you don't understand during class just let me know and I wont put it on the test" If only life could be that easy
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  151. I live how you kinda treat them as books ,that you can read for fun, rather than as textbooks.
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  152. I graduated with a physics and math degree and just started interviewing for jr "quant" roles in banking. Literally got asked questions related to these. The actual job is just computational work but the interviewer asks tons of brain teasers with expected value questions.
    690
  153. Prof Astrid: "It's a conceptual move, not an algebraic one" Today I found out that jokes can literally make one's sides hurt
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  154. Biblically Accurate Math sorceror
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  155. I don't have the time or money to do a math degree but watching your channel has really inspired me to self study and getting a run down on what books to buy for my current math competency level is extremely helpful.
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  156. Using this book to do math is like using a dictionary without knowing English to create master philosophy. Purely Genius Ramanujan.
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  157. As a 40-year-old in late-undergrad/grad math courses, I'm glad to hear this! This time around, I'm doing it right. Reading the books! Understanding and applying definitions! So if anything, I'm more likely to succeed now than at any point in the past, if only with less energy
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  158. This makes so much sense. I just fail a arithmetic because I was going slow and was running out of time. So I rush the test and failed. I was wondering how I failed it was so simple. But I was moving slow and the teacher walk in told me I hold only 20 mins left I got scared because I had a lot questions and started rushing and fail. I have a retake this week. Thanks this made so much sense. I definitely practice this.
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  159. Dear Math Sorcerer: We had a whole course in spherial trig in the US Army land survey school. We would go out at night and use our instruments to mesure angles and check our trig calculations. It was one to the most fun schools I ever had. we could predect the locations of stars. take care my friend
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  160. Age ain’t nuttin’ but a number. Was an EMT/LPN in the military until I was 32. Graduating this semester at 37 with a degree in Geology. Going to grad school next year. Will finish my masters at 39. I already have companies reaching out to me because of the life skills I’ve developed that a 22 year old doesn’t have.
    661
  161. Assembly is very much taught today. I am doing a masters in cybersecurity currently and we have a course on C and Assembly. Understanding memory management for security is incredibly important.
    661
  162. To be honest, I've binged watched the first start to finish video more than 5 times already lol. There is really something that makes me rewatch the same thing, even though it's just showcasing books lol. And now you made another one, and I can watch more, keep it up Prof!
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  163. The Math Sorcerer:- Math is Easy. Anyone can learn math. Me:- Algebruh
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  164. What works for me is even if I have no understanding of the concept, I still follow the steps anyway to solve. I continue onto the next lessons that build on it even though I have no real understanding or what the purpose is. I push myself to at least get the correct solutions and try to see patterns. Over time and with lots of repetition, I get the solutions more easily. Then one day, months later, it will automatically all fit together in my head and I can't believe it took me so long. I use this method all the time and it works. People think I am a genius with math, if they only knew how long it takes me to figure stuff out.
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  165. yo what's up math sorcerer! i'm not sure if you remember me but i've been a frequent commenter on your vids throughout the past couple years. i just graduated this semester with a bachelor's of science in applied math so it's awesome to finally be done. thanks for all your help and wisdom during my undergrad! this channel shall be cherished forever
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  166. silly mistakes really weigh heavy on you, sometimes you get so frustrated that you're in tears and start doubting your abilities
    643
  167. The importance of a good textbook cannot be overstated.
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  168. Wolfram Alpha 😂😂😂😂
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  169. I needed this. I just failed calculus2. I’m a single mom, have to get through these math classes to get a good career t support my munchkin and I. I am so bad about planting myself and forcing myself into attempting to understand before moving on. And then I have spent hours on one problem out of 50. I definitely need to spend more time doing problems and less trying to understand. That is such a hard mind shift for me. I’m going to do it! Lol!
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  170. - 0:30 Lack of Balance - 1:54 Bad Study Habits - 2:27 Time Management - 3:03 Fear of Failure - 4:05 Insufficient Support - 5:09 Math Anxiety - 6:07 Repetitive Tasks - 7:25 Source of Motivation - 8:43 Lack of Relevance - 9:45 Poor Self Care
    603
  171. I've been programming since 1978. Once you get to a certain skill level, and if you're a touch typist, it can really feel like magic. My ideas seem to flow through my fingertips, and I conjure up all sorts of wondrous things. I can almost see and feel the things I'm creating.
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  172. I heard a story (admittedly, it might be an urban legend), when in the beginning of a very first math class, the students were sitting in the classroom waiting to meet a professor, but he seemed to be running very late. After about 15 minutes of waiting, one of the older students started to protest, and loudly ask questions , something like: "Where is this damn professor? how long are we going to sit here for waiting for him ? what kind of professor is that ?" and for the next 5 minutes or so he was saying all sorts of silly things about that professor. Finally, he apparently got fed up, got up, came to the board and said: "Ok, since there is still no sight of this bloody professor, it is I who will be your professor!" (turned out, this was actually the real professor)
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  173. The only warning I give people about calculus is not to drink alcohol while studying it. Never drink and derive.
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  174. I am currently taking calc III, and is the hardest of the three, for me at least. Not because of the math, grasp the main concepts is pretty hard.
    591
  175. Reason #6: It's your hair. We don't have it. One cannot do math wihout stylish Einsteinian hair.
    589
  176. This is how Jeff bezos looks w long hair 😂
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  177. spoiler: there's no finish of studying, only ur death.
    585
  178. 1.define your goal 2.develop a plan 3.take action 4.positive mindset 5.supportive people
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  179. Nope, art is the hardest major. Because, you have to get a real job without a real degree... lol
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  180. No joke but 10 minutes of meditation daily is a nice booster for focus when studying.
    580
  181. I love how empty and plain your study is. It’s like you are some sort of math monk. Very minimalist and very clean as well.
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  182. I am an expert on watching your videos.
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  183. I remember talking to a med student and telling her that the lecture notes I had to study for a 1 semester course were around 80 pages long. She laughed mockingly. However, I explained to her that I could only get through 2 pages an hour, on average. Her jaw dropped.
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  184. Meanwhile the bird is thinking: "Oh yes δ, ε. Suppose δ > 0 such that 0 < |x − a| < δ implies that |f(x) − L| < ε."
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  185. The class without a teacher that cares is the hardest.
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  186. He has conjured too much maths. He has turned into the all-powerful mage of maths.
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  187. damn, jeff bezoz really grew is hair out in the quarantine. Look at that flow
    563
  188. Idk why I read "Learning Mathematics From Start to Spanish"
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  189. The Math Sorcerer: "You need a distraction free environment" Me: getting distracted reading all the book titles in the background
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  190. Discovering this channel is definitely one of the best things that happened to me this year. You are so passionate, keep it up!
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  191. As a retired high school math teacher, I've run into students cheating quite a bit. There are a few measures that a teacher can take to reduce the occurrence. One is never make any one quiz, project, test, etc worth something like 50% of a student's grade. Keep each individual test, quiz just a small morsel of the overall grade. Expect students to "cheat" on any kind of take home exam or homework, by using the internet, library etc. Plan accordingly. Encourage group work for problem sessions. Stuff like that. One of the most devious cheating was the "you lost my test" scam. You give a test, the student knows they will fail and can't answer the questions. They pretend to work on the test and when everyone turns their test in, they don't. You grade and record the tests and pass them back. They raise their hand and say, "Where's my test? I was here." Sure enough, the attendance records show they were present, but you don't have their test. Then they claim you lost their exam. This has even gone so far as to end up in the Principal's office with a pissed off parent and a smug little 9th grader claiming you are an incompetent teacher. One way out of this, is to number all the tests. If 30 went out, 30 must come back. About 5 minutes before the end of class, you declare the test over and collect them. If you are short one or two tests. Keep the students in their seats and go through the tests one by one by reading off their name and checking the roster. If you call their name they can go. Eventually you're left by default with the offending student or students. Usually however, the rest of the class doesn't want to be detained and will start in on the cheater by pointing them out and yelling at them to turn in their test so they can go.
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  192. “This is like the most popular book in the entire world” the bible enters chat
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  193. Was always taught never to give up....this is very ...liberating
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  194. 1. 0:50 - Studying in a noisy environment 2. 2:00 - Having your computer on 3. 4:15 - Studying without a game plan
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  195. When the impostor is calcu-sus.
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  196. Plot twist: this is actually Isaac Newton but he is already been reincarnated.
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  197. For me the most hardest and most difficult one to maintain is DISCIPLINE and FOCUS and to have MENTAL FORTITUDE to accept failure as common thing and move on. I believe, if we do things with those three above consistently, we can be a genius as well.
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  198. Maths prof "So last time we discussed how 1+1 may or may not be 2, today we're gonna proove that the standart Brownian motion is alpha-Hölder continuous for every real and positiv alpha less than 1/2." Students "?!" Prof "Don't worry, it's trivial."
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  199. my man is literally radiating math and wisdom
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  200. Hard to turn off my computer when my books are in pdf 🤣
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  201. Ramanujan is one of the greatest mathematians of all time.
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  202. After seeing this book, I am just blown away by how Ramanujan was able to teach himself! I would have no hope! The talent and genius of some people will always amaze me. Thanks for sharing.
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  203. You benched 225 and you're a mathematician? What a beast
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  204. Best decision of my life was to take a speed math course from the basics all the way to pre algebra. It helped me find exactly where I was getting lost. Next thing I knew I was tackling calc and trig and running conduit for city projects. I started understanding math as a formulaic language. I was hoping I would never have to lift heavy weight at work again. The instructor used to tell us, when you close your eyes at night and see it on the back of your eyelids you are ready for the exam lmao.
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  205. Mathematicians getting jacked and lifters learning math is making me real happy. Being a polymath requires physical training and exercise science. It's straight up Socratic and I'm glad I see it being a trend now on both sides of the coin
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  206. The sorcerer looks a bit like Jeff Bezos with long hair
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  207. The best advice my father gave me before he passed away was: If another person can do it, so can you. If you put your mind and heart into it, everything is achievable. 💖
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  208. As a person who aced almost everything in high school, the university really taught me this lesson. I had never failed in my studies as I did in the University. It was a really humbling experience. It has made me appreciate the process of failure more and has helped me improve my work ethic in my quest to become a robotics engineer.
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  209. As a high school math teacher with limited higher level math skills and a penchant for purchasing lots of old math books I sincerely appreciate this video.
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  210. One book and you're all set? That's not maths, that's religion
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  211. This is a pretty normal test for the Navy. The detailed directions may sound difficult but the point of the exercise is to teach young naval officers that are learning to be officers and having the civilian stripped from them. They have to prove that they can follow detailed directions. It's not so much the math test, it is "can you follow directions." The practice examples you gave may not seem difficult, but the serve a useful purposes such as celestial navigation for air, land and sea. The example of the beam is used for the structure of a ships hull or a cranes loading. The reason for the short time frame is because if you have a shot up ships hull and it is sinking you have to respond to your problem quickly and accurately. In a system that is based on merit and we are in the business of removing people and breaking things. You want the best person to prevent civilian casualties and friendly fire incidents. The difficult and detailed directions are there to weed out people that cannot do the job.
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  212. 1. Understand the problem. 2. Connect what you know with the unknown. 3. Carry out a plan. 4. Examine obtained solutions.
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  213. This was the first real book i read about programming when i went to the library and asked the weird librarian about programming. Thanks god she recommended this one, because its a gem and just awesome!
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  214. I wish math took me seriously
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  215. Once you overcome the initial inertia, reading mathematics will make you feel so spiritually enriched, energized and satisfied.
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  216. Video starts with "Start to Finish" and I'm expecting addition and subtraction.... and he says we will "Start with learning to write proofs"
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  217. As a programmer, How to Solve It actually helped me pass quite a few of those technical assessments. It's definitely a good read!
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  218. I am weak in math and I am trying to change that. As a STEM student, its been really hard coping with the mathematics coursework. I love your channel. It gives me hope to get better.
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  219. “Shoot for the stars, because if you fail, you will still land on the moon.”
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  220. I just turned 38 and I'm in my second year doing biomedical engineering. The years are going to go by anyway so go for it!
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  221. I'm a engineering student but every single video of yours I watch I'm more interested in go deeper and deeper in math
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  222. I've got another one... "You can treat dy/dx like a fraction"
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  223. I'm 68 and majored in math in college, but I ended up going to medical school. I'm now retired and returned to studying things that I never got to because the career got in the way. For the last 4 years I've been working on my own to learn complex analysis, topology (haven't gotten very far in topology!), graph theory, and most recently tensor analysis. It has been quite challenging at times because when I hit a roadblock and can't understand something, there's no one to answer or explain. What has worked for me is looking at another book on the same subject and that usually will get me through the tough spots. That, and a lot f thinking. I'm neither as smart nor as disciplined as I was in college, so it's slow going. And I don't spend all my time doing it. Friends and family totally do not understand why I'm reading math books on purpose at my age. Youtube videos as sources for math instruction/inspiration are great, like your channel and others. I ALWAYS pay attention to your book recommendations! Keep up the good work.
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  224. I used to tell my Elemnetary Statistics students, "You know that feeling you get when you look at a math problem, and you don't know what to do, or where to begin, and it doesn't even look familiar? The difference between you and me is I like that feeling." Somehow, you have to find a way to "break on through to the other side."
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  225. Least unhinged Math Sorcerer Thumbnail
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  226. I have a PhD in Mathematics. After 50 years of studying math It is still a mystery to me why most textbooks do not provide solutions to the exercises. Even the relatively few great math books would be vastly improved if they were “complete”.
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  227. I understand the idea that people need different amount of time to understand concepts. However, I also think that the environment that one grows up in can make a real impact. Some people grow up in an environment where they are supported in their schoolwork. For example, my dad had taken a lot of math in undergrad and was a teacher and he taught me how to study and how to take something that is difficult and frustrating and see it from a different perspective make it into a puzzle, a game. That made learning math fun for me. On the other hand sometimes people grow up thinking that math is not for them, they are incapable, or it is not fun; that can be a huge hurdle. Some parents care about their child's studies but are unable to give them the guidance that they need. There are probably many more factors than these. However, the way in which each person learns could also have a huge influence.
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  228. Tip for high school students: Don't ignore topics in your textbooks just because they are not included in the syllabus. At least go through them
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  229. I was tired of my life going nowhere so I quit alcohol and drugs (prescription) cleared out the brain fog, started dreaming (visualizing), and put into action my action plan and goals and now things are happening for me. Lots of coffee helps.
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  230. I'm 21 restarting learning math and it seems like a huge amount of work. I'm re-going-through Stewart's calculus and Spivaks calculus but solving every problem takes over 15-30 hours per chapter.
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  231. He's the first math professor I see who says math is hard. All the others tend to say math is easy in an attempt to keep students motivated. That's what is cool about him. Straight facts.
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  232. Here is the summary: 1. do all of the homework problems (bare minimum). 2. go over your handwritten notes from class, make sure you understand everything step by step (just watching videos is not enough), do the examples in class by yourself. 3. keep redoing homework problems and example problems (pick a random problem and just do it). Make sure you can do them comfortably. 4. pay attention to the topic list. 5. study for speed, make sure you can do problems quickly. 6. reach the "nirvana". Study so much, that you can relax before the test. As a calc student, this video is exactly what I needed, thank you so much!!! the 5th point really resonated with me, Im also more of a "slow steady types" and I get a lot of enjoyment out of just really elegant solution and thinking about other ways you could do the problem. And I always had problems with time in test, its like I never had enough time. Do you have any tips on how exactly one should work on speed? I mean it comes naturally to you but maybe you have some ideas?
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  233. As an aerospace engineer, i have all those books too. I keep them on the shelf as a grim reminder of all the starry eyed dreamer friends i lost along the way.
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  234. You forgot the "mandatory textbook that I wrote, 22nd edition". It's $300 and all the profit goes to me. Oh you have the 21st edition used from last year? Nope, you need to buy the 22nd edition because all the homework questions are different. Otherwise you can't do the homework and you fail. If you photocopy someone else's textbook I'll find out and you'll face academic suspension.
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  235. HERE IN INDIA THE DARK TRUTH OF BECOMING AN ENGINEER IS THAT AFTE YOU HAVE COMPLETED YOUR COURSE YOU WOULD DO EVERY JOB EXCEPT FOR THE ONE YOU HAD STUDIED FOR . 😂😂
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  236. I mean, I’m sure that my math teacher wouldn’t say these things, but doing this summer class on Zoom during a pandemic, he’s hitting about 60% of these
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  237. This video hit hard. I've always had a hard time making and maintaining healthy friendships; partly due to all my time sunk into STEM topics, namely math and computer programming; and partly due to the mental health issues that I've been dealing with for years. I really appreciate that this isn't just a "Poor, Poor, Pitiful Me"-type of video and that you actually give what seems to me to be really sound and solid advice. I appreciate you and everyone else here more than I can say.
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  238. Hi, I'm from India, couldn't complete my under grad due to family issues, but now I'm preparing for actuary exams. All the mathematics I've learnt is through self study, all your videos have been very helpful in keeping me motivated. Thanks to you 👍.
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  239. This is why it’s very important to read, read, read. We are taught to hate math. But it’s fun and you feel great once you’re able to solve the math problems. Great video!
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  240. I am going back to finish my High School after dropping out 25 years ago. Thank you so much for making this video. I was looking for something to help me brush up on my math and this series of books looks like it would great for doing just that. Thanks again! 🙂
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  241. Stop reading comments, Focus on the video.
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  242. Very insightful. My main problem had been fear of toil and hard work. I couldn't stand the sensation/experience because I kept trying to find a way to "pay less for the same result" so to speak. Once I finally accepted how it feels to work hard, and that it's physically impossible to have less friction and get the same result, ironically, it started to feel different. There's still that sensation of strain during work or during particularly intensive learning sessions, but now I don't let myself get intimidated by it and accept it for what it is. It took me 2.7 years to arrive at this conclusion. It's simple but it took a while for me to truly internalise it.
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  243. 0) Embrace your ignornace. We all have to start on Square One, wherever that might be. 1) Skim through the entire book, cover to cover. There's usually interesting stuff in appendices and so on. 2) Eliminate distractions: phone, computer, watch, etc. Carve-out a place to concentrate. 3) Write things out on paper: definitions (think of examples and counter-examples) and draw doodles, pictures, etc. that will help you visualize a concept. 4) Get going. See (0).
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  244. I had the same question. Answers are exceedingly important for self-learners.
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  245. "You're gonna end up with a significant other that is little bit nerdy" So you're saying I'll end up with a significant other?
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  246. As Mark Twain once said - dont let school interfere with your education. Back in high school here in Eastern Europe (and even earlier in primary) I used to hate math. With the onslaught of time however and the age, I started realizing that not only you cannot live without it but also the type of teaching which we got and the environment which I was in harmed and impacted my way of perceiving math. Hence why consider getting back to the roots. Such videos help a lot, thanks!
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  247. It’s like you are reading my mind Professor ! Video came out absolutely at the right time, I’ve been so tired and demotivated for days and I need this video so much to combat procrastination and get back on track !
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  248. Delta-epsilon proofs are cool
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  249. How to be a succesful mathematicians : Step 1 : Have the haircut of Newton
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  250. I learned more in three and a half minutes than during my Professor's two hour lecture
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  251. I like this camera angle it makes me feel like I'm listening to a guy who's buried up to his neck.
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  252. Currently in calc 2 with a full time job, studying literally every free second I get, easily getting 4-6 hours in every day, still feels like I’m flying by the seat of my pants
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  253. I have a lot of URSS math books in Russian, they are very hardcore. Also there is a legendary exercise book for analysis by Boris Demidovich. I know 100% that there are translations of it in English, if you have the possibility buy it, you won't regret. Here where I live, soviet era books cost something like 1-3$
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  254. The difference b/w you and other professors is that you can keep students awake and interested for a full one hour. Enjoyed your enthusiasm.
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  255. I wanted to take a moment to express my sincere appreciation and gratitude for all that you have done for me. Your guidance and mentorship have been invaluable to me, and I feel incredibly lucky to have you as my teacher, researcher, guider and motivator. Your dedication to your craft and your passion for research have been truly inspiring to me. You have challenged me to think critically, to question assumptions, and to strive for excellence in everything that I do.
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  256. “Wow I got soo much sleep last night”
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  257. In real life, when people get a job they are expected to: copy their peers exactly; look up the answer on google if they do not have the answer; redo the problem until a correct solution is found; work in groups. Thus, the academic view on cheating is outdated. In fact, this outdated view does not level the playing field but favors people who can afford to pay for a tutor and/or pay for test preparation classes. Hence, it favors the rich.
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  258. I remember some physics book that constantly used the word "obviously" in all its explanations - I swear I saw that word AT LEAST 10 times in one single course. I felt insulted by that, because I felt as if the book was assuming that absolutely everything was crystal clear right away, which of course it isn't.
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  259. I recently have gotten into mathematics using a book called 'Understanding Numbers in Elementary School Mathematics' by Hung Hsi-Wu. It's actually written for school teachers so they can understand what they're teaching their students at a deeper level. The deeper level of explanation helps a lot for self learners and it's also already written in a pyramid order building the base so you can move upwards.
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  260. I study math because I want to work hard. I want to be confused and lost and I want to spend hours on problems and all of that will pay off in the end. It makes me happy and I hope I get to do it forever.
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  261. At 5:30 it's "and" instead of "or"!
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  262. Although there is a certain degree of elitism among mathematicians, it's not necessarily the case for the most part. The problem in mathematics, however, is the lack of good exposition. Yes, you may convey lots of interesting stuff in a rigorous text, but you don't have to let rigor get in the way of clarity and good exposition.
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  263. 1:35 “annnd we all know who that was.” briefly looks at camera Me: sobs intensely from flashbacks
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  264. The last one was so nice 😭😭
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  265. Applied Math Major here! I thought I was crazy for having a whole book shelf full of math books and computer science books haha. Love your content!
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  266. I’m 46 and just completed year one of a physics degree. Thanks for the motivational videos!
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  267. One will never 'learn all the math the world '
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  268. I’ll come back to this video a year from now to tell you guys that all my wildest dreams came true
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  269. Before watching, here's my list: 1) Lack of confidence; afraid to try something because you don't already "know what to do " 2) Not viewing yourself as a mathematician. 3) Not being an active participant. 4) Not allowing yourself to wonder or ask yourself interesting questions 5) Not documenting your work; erasing or throwing away incorrect solutuons.
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  270. "There was a girl too."
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  271. I can attest to this but as someone who is learning on his own I can tell you that studying is harder than it seems. Trying to maintain focus and getting over hurdles take up a lot of that time when you’re trying to study. I’m teaching myself physics and trying to develop that amount of focus in the “flow” but each time I come up to a block of difficult information to process or unfamiliar equations I’m repelled by the idea of continuing. It can also take my brain a few days to process a few pages of information and I’m not able to put a full hour into focusing on it.
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  272. You can fail as safely as you want when you self-study. And that won't stop your progress like it will when doing the failing within a class.
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  273. If anyone wanna learn math , go to the woods , and you might find math sorcerer , and he will help you with your quest
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  274. The son of the first author (A. B. Budak) is a great mathematician as well - i believe his lectures on analysis are available online.
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  275. I just love integration by hand. Nothing better than spending 10 minutes on arithmetic and then finding I got the wrong answer because I forgot to change a minus sign.
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  276. I used to speak to an apprentice who was assigned to me. He asked me whether studying IT was hard. I told him "No, as long as you don't have a social circle it's pretty easy" ...
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  277. 1. Set goals + deadlines (study shorter = more focus, increase as you get more experience) 2. Organize your thoughts 3. Find a quiet place 4. eliminate distractions 5. Taking breaks (day off) 6. Reward yourself
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  278. I love writing proofs, especially when I miss a word and get 20% off 😍😍😍
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  279. So, let's be clear. For me, an idiot, the first book will be: "Discrete Mathematics with Applications"?
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  280. What I've realized is that your success with math very much depends on your confidence. I have some anxiety issues regarding math that made it harder to learn. I'd end up crying even thinking about doing math. At it's peak when I was younger, I failed pre algebra 4 times. Since you might learn at a slower pace or have trouble with a concept, you come to the conclusion that you're just stupid, and you're not a math person- which in turn makes it more difficult to learn the math because you grow to resent it, because you always feel like an idiot and that really holds you back. I still greatly have trouble with my confidence in myself but once I thought of math as more of a skill to be worked upon then some concrete determination of intelligence, I began to understand concepts way better than previously. When your mind is clouded with self doubt, it's hard to focus, and you immediately assume you're going to fail because you're "too stupid." A change in mindset and a boost in much needed confidence is the most important thing to becoming better at math in my opinion and it is so depressing our schools fail to ever do this. I think that the kids that feel stupid that observe the kids who excel in math and play a great deal into giving math this elitist idea where only the naturally gifted can enter, and you never will. Math skill is so often tied to the ego and we write it off as some kind of natural ability when in reality that couldnt be farther from the truth. Seeing math as inaccessible for some people by design is an anti intellectual idea for everyone involved and yet our society, parents, and children believe this and the effects are destructive.
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  281. 1. Self study is fun and self guided 2. You're not being told what to do or evaluated for a grade 3. You remember things you read on your own time better, more personal 4. It sticks with you more 5. It makes you better at learning how to learn 6. It is rewarding and you can look back on your accomplishments
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  282. I want to add to this that having a positive mindset is not an all or nothing thing. You don't have to be perfect, even if you manage to shrug off just one negative thought, it's going to make it far more likely you can shrug off two of them tomorrow, three the next day, etc. Every little bit counts, every little bit makes you that much happier.
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  283. I found that friends of mine who received this kind of guidance and were helped with the discipline at a young age are the ones who achieved the most in their lives. As a parent, this is what I am trying to do, because my child is way smarter, and I mean waaaaaay smarter than I am, but in this society, it is too easy to throw all that away.
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  284. Ah, Bessel functions (and spherical harmonics) were part of my second year in my physics degree. The lecturer spent about two full hours talking about spherical harmonics only for me to completely not understand even the vague idea of what we were doing. In the end, a group of us asked him outside of a lecture to show it again but slowly. Being the great guy and great lecturer that he is, he spent a further hour with us in his own time. He also said that the moment anyone gets lost, just stop him and ask him to go over it. I think after that hour we all had a better understanding than most of the rest of the cohort.
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  285. this man gives me strength to soldier on past my failures
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  286. In Germany we learn calculus I in Highschool. And when you go to uni you start with real analysis.
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  287. Another tip: when you get stuck, before you look at the answer, ask yourself if there's some assumption or intermediate result that, if true, would enable you to solve the problem. That will help you improve your analytical skills. Also, when you look at the answer, you may discover that you were almost there; you were just missing the one piece. That will boost your confidence.
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  288. more like exams: 59% final: 39% assignments: 2%* *2 or more incomplete assignments will result in a course failure
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  289. Lecture Examples: 1+1=2 Homework: find the interval domain of this function without a calculator Exam: I want you to find the circumference of the sun via only using the Pythagoras theorem and use that answer divided by 22nd and 23rd digit of pi to then be used as the speed of a fighter jet traveling from Florida to Tennessee and use that total time to calculate approximately how many rounds of golf can be played in that time
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  290. Seriously, math sorcerer's doin some serious sorcery here. Where does he pull these super relatable topics out of? Just amazes me everytime!
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  291. "The proof of the fundamental theorem of calculus is left as a valuable exercise for the reader"
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  292. Writing proofs is also a lot of fun after some time. It's like seeing the matrix, the structure behind, that really explains why things are true :)
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  293. Always feel like you're cheering me on even though we've never met. I was never good at math in school but professionally I've tought myself a lot of math and it's the best part of my day now. Learning Geometric Algebra for fun, too :)
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  294. Mr Math Man: “ Focus, no Youtube Videos” Me who learned most of Calc 1-3 through Youtube Lectures: Sweating
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  295. Nice! I am almost 40 years old and I decided a while back to start self-studying math. I used to love math back when I was in school but I did not have a good experience studying math and physics at a university some 20 years ago so I dropped out altogether and stopped doing math for years. But not too long ago my cousin asked me for help on her math homework and helping her reignited my passion for math so I dug up my old Calculus textbook from university that had been collecting dust in storage for 20 years and I am working my way through it. The book is called: Calculus: a Complete Course by Robert A Adams. I am using the 5th edition but there are newer editions of it now. I don't know how it compares to other Calculus books but I think it is alright. The problems in it are great but I find the proofs in it to be somewhat hard to follow sometimes. I am also studying a bit of Abstract Algebra and I want to start to study Topology at some later date. I am also watching and enjoying your Differential Equations lectures on your channel. Interesting and fun! Math Sorcerer, I really like your content. Keep up the good work. Greetings from Iceland.
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  296. I realized too late in my math learning adventures that I learn better with the old text books. The new ones have colors, random boxes everywhere, pictures... Just want things set out in a logical, ordered progression. The extra problems are a plus in this book.
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  297. I'm 56 and still learning STEM subjects, a half hour to an hour and a half every day. I did calculus I and II when I was 45.
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  298. I am a slow learner but once the material sinks in, there's no stopping me.
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  299. 1- Math is hard. 2- Some teachers are better than others. 3- You have to teach yourself. 4- Not all math is the same (maths subjects are different). 5- Math is rewarding (getting a math degree is very rewarding).
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  300. "If you knew how much work went into it, you wouldn't call it genius. " ― Michelangelo Buonarroti
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  301. I am 53 years old and I just found your channel. It has been my life long dream to learn math. I am going to follow your advice. Thank you
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  302. I think it’s cool when a math teacher is slightly eccentric. It really helps me stay focused and engaged for my studies.
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  303. Math + training = perfect life
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  304. I’m not interested in getting “good” at math, just obsessed in these books like collecting comic books and wanted to know the story behind them, man I love math.
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  305. "Just pick a book and go with it" that sounded so poetic I almost cried.
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  306. You are a genuine mathematician
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  307. This video is wisdom. It doesn't come from a course or a book. It comes from lived life. I too am a slow learner and I've had hard time with math all my life. I've struggled with my "slow burn" because everybody seemed to be natural talents at math through all my school life. I always thought that I just really suck at math and such and that's it. So I quit high school/upper secondary school when I was around 19 yo. Didn't do any math until I was 28 as I went back to high school/upper sec. school to suck at it again. I felt so awkward being so old. Everybody was 16 to 18 yo. But this time I stayed - and gave my time to it - and slowly learned to be better at it. Now I'm 35. I'll get my BSc this year. We mature with varied speeds. Some read poetry at 10, some learn to do calculus at 60. So it's not too late. Never give up. Great channel. Subscribed.
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  308. "If Calculus is so good, how come there's no Calculus 2?" --Gottfried Wilhelm Leibniz
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  309. Intelligence without discipline is of no use. Discipline has the power to defeat talent.
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  310. “Don't forget to become an algebra master”- Math Sorcerer
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  311. i loove finding inverse of matrices specially the 'biiig' ones ;) ;)
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  312. Ryan Yes, yes, omfg, yes.
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  313. this randomly appeared on my recommended page, does YouTube wants me to learn Math or what? 😂
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  314. Solid list. The best generalized introductory calculus based physics book is, in my opinion, Halliday, Resnick, and Krane’s “Physics” 5th edition. It is easily the best intro calc-based physics book around.
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  315. I’ve met with elitism in many fields and the critical factor (since it’s necessary to form some definition of the word) is how willing people are to put their ego aside as they assist other people into their world. Mathematics is notorious for removing the scaffolding. Time and time again I’ve spent hours trying to get from step 1 to step 2 when texts could easily have spelt out intermediate steps. I got the impression it was displaying some form of weakness to explain the reasoning the author or teacher went through when they first set eyes upon the subject. It’s easy to see how musicians or visual artists or chefs could be elitist, and it’s just as easy to see how they can make it easy and enjoyable to welcome others into the fold. Mathematicians have a lot to learn in that respect, if even they care.
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  316. I agree with your point on muscle memory, I'm a highschool drop out and basically failed algebra 1, but now that I am in college, and I chose to be a comp sci major, I am basically relearning math on my own time to prepare for precalc and trig, it feels really nice to go back to pre algebra and instantly solve most of the problems with mental math, and am just getting better, even learned some eye opening concepts that I probably missed in school, I never hated math like most people, I just haven't understood it yet, glad I found this channel and wish me luck in my self studying of math from pre algebra to precalc, I got about 4 months until my next college semester starts lol, hopefully I can learn alot by then
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  317. "I actually dont know the material either" i actually had a college teacher say this to me once. He also vaped in the classroom. As you can imagine i didnt pass along with many many others in the class.
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  318. I went back to college at 48 and got a master's degree in math at 54. Having five children in three schools (elementary, middle and high school), I took only one course at a time. It took longer, but was worth it. Now I teach at a college.
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  319. I just got an A in calculus after hundreds of hours of studying. What helped me immensely was making sure I understood the trig circle, trig identities and everything related to Pythagoras. Also make sure you know all your basic derivation/integration, most of the problems in calc build on the mentioned concepts.
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  320. The relationship with math can turn dark and abusive. Take a walk? Easier said than done with math snickering behind your back.
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  321. The only maths that birdie knows are the number and size of treats coming to him.
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  322. For self-learners, we would at least like to have selected answers and hints. If we come up with a solution we think is right but there is the subtle nuance we missed, it would be bad in the long run. I see having answers as a way to have a feedback needed for mastery. It's one of those tricky balance between giving yourself to struggle enough, but not too much. Luckily, looking up solutions on internet is not hard to find. Point is, there is a difference between using solutions to cheat yourself, and using answers as a feedback to facilitate mastery.
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  323. I graduated with a 2.4 / 4 GPA in Computer Science because of mental health issues, but I've always loved Mathematics and Computer Science. You don't understand what your channel means to someone who always wanted to go for higher studies, but literally all doors have closed because of my GPA. Because of your recommendations, I don't have to flounder, just pull random books from libraries, try and solve them, and get frustrated. Thank you so much for all your content! God Bless, please keep up the good work!
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  324. I just passed your college algebra class with an A. Hours of focused study time while listening to Beethoven worked for me :)
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  325. These free videos are a lot more helpful than a 100$+ textbook
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  326. It’s good to make the effort and have the atitude to be proficient in all areas of the test. In that way, it’s less stressful and the test becomes intelectual enjoyment.
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  327. The obsession with trying to understand every little bit before moving forward to the next section has been the biggest obstacle for me in self-studying maths and physics. It is a difficult thought pattern to unlearn, but it is super empowering when you do. I love that you always emphasise this point. Thanks from South Africa for all your great videos!
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  328. I remember growing up the Soviet textbooks were very popular amongst Indian students because of their difficulty. We used to have Mir publishing directly in India, although now the same titles are sold by the Indian publishers. One day, in my early 20s work life, I came across the wonderful and detailed anthology by Smirnov in 5 volumes. I think for some months, my goal of a decade was to finish those 5 volumes. I used to go in the library just to glare at the soviet books. They would be pretty untouched, not a lot of engineers needed theoretical maths at my place. Although that dream of mine is long lost, it left memories which I will always be fond of.
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  329. You must be an angel man
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  330. This book was the text used at my college for honors calculus students at my community college. That together with an excellent professor inspired me to be the unemployed mathematician I am today!
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  331. "The proof is trivial and left as an exercise to the student (see problem 42)." you cannot fathom just how much i hate when a text book says that. i'm supposed to be learning and you leave out the crucial proof to show me how to get from A to B. good to see this scourge isn't just in physics courses.
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  332. I got into math because I realized that all of my interests required strong mathematical reasoning skills. I originally started wrestling with it out of necessity, but after years of trying—in a story not dissimilar from your own—I finally started to see Math, not as the troll that I needed to pay on the road to rescuing the princess, but as the very princess herself. All this said, I’m 27 and I’m just about to take Calculus 1 in the fall. I pissed away a lot of time with drugs, drinking, and wasteful living, which is why it’s taken me this long. I know I have a long way to go before I’m doing measure theory or differential geometry(what even is that?!), but that’s the dream—to learn everything my brain is capable of learning about math.
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  333. That Ali quote is true a bit of wisdom you said, “practice doesn’t make perfect but perfect practice does.” That hit hard.
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  334. It's interesting that a 52-year-old Computer Scicence book can still be timely: we face the same basic problems with current technology implementations.
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  335. Once I've helped my partner out of bed, attended to her morning requirements, fed my budgie, done some math problems, gone a walk, said ''hello" to people in my village, then returned to help my partner keep her spirits up, my ambitions have been achieved.
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  336. anyone think math sorcerer looks like jeff bezos with a wig on?
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  337. In an older edition, there was a problem asking the reader to open any book on Homological Algebra and prove all the theorems lol
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  338. I’m 26 and I recently got back into school and I’m pursuing a comp science degree, I have a calc class that I have been procrastinating for a ridiculous amount of time. It’s thrown off all my other classes for this term, now I’m scrambling to finish calc 1 in a month. Your videos are helping me spark some motivation. I don’t have anyone else to talk about school stuff with and something like calculus although normal to some people, is completely foreign to my family, friends, and anyone else around me. Gets lonely out here lol
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  339. I honestly felt a great relief after hearing how much of a serious gamer you are because I am too and I sometimes feel really guilty whenever I spend time gaming because I always feel like I should be studying/reading math instead..
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  340. My father, who graduated from the Naval Academy in 1952, memorized 5-digit log tables. He would fill notebooks with them on occasion to keep his memory up. Graduates in the to half of his class had the option of going into the Air Force (this was pre-Air Force Academy) so he did. His Air Force navigation school class had a large number of USNA graduates, and they completely destroyed the curve (why it was curved is a good question) because the Army doesn't care much about navigation. He wound up as a B-47/B-52 navigator/bombardier. After that, he worked as a civil engineer, where, no doubt, his Naval Academy experience also proved useful.
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  341. Become a calculus master by studying 60 minutes a day for 143 years
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  342. I have a MS in computational finance and work as an investment advisor. One of my professors used to say, "Slow down and lower your goals." There is no short cut to understanding because stochastic calculus is not obvious. For instance, in freshman calculus the product rule is (f(x)g(x))'=f'(x)g(x)+f(x)g'(x). In stochastic calculus the product rule is (f(x)g(x))'=f'(x)g(x)+f(x)g'(x) + f'(x)g'(x), so there is an extra term. This is because in continuous stochastic process, the function is continuous everywhere but smooth nowhere. In any case, it is a slow process getting used to it (it was difficult for me). Also, if you haven't had calculus based physics, it will help if you take some time to get familiar with the heat diffusion equation. It wouldn't hurt to study numerical analysis and have some familiarity in Python or Mathematica. I came into the program with a weak background, but I made it. I think it is well worth the effort.
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  343. bro is a Renaissance painting
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  344. I just ordered it! How exciting, even for a retired scientist like me.
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  345. I can’t help but love every single one of this guy’s videos. They motivate me like nobody else.
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  346. I knew a Russian at university, who became a physicist to not have to go to the red army. He wasn't good at math so his strategy was to learn a lot of basic math. He learned with every Algebra, Arithmetics, pre-calculus books he was able to get a grip on (even school books) and was then doing tons of simple problems. He always said that the major mistake students do is working on topics before they are ready for it, without building a really strong foundation, getting bad grades, and become frustrated. In his Ph.D. he worked on the Navier-Stokes differential equations and even found a special solution for a problem, which now carries his name. He now works on fluid dynamics and simulations at a university somewhere and is maybe a professor. IDK, sadly I forgot his name. I think he did exactly what you said, he was overdoing it, that is, in the meaning of dwelling on topics and doing exercises even when he already understood how it worked. Repetition makes permanent.
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  347. It’s a peaceful life…
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  348. I feel like a math genius when helping my little brother with homework.
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  349. instructions: make sure your house is currently not being haunted by the ghost of Bernhard Riemann, as it will be considered cheating and the test score will be zero.
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  350. I remember grad school for statistics being very difficult. The people that do well are those that give a sustained effort, consult peers and as the The Sorcerer said, the reviews are key and you can be guaranteed at least one question or a near identical one will show up on the exam.
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  351. You're being called out.
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  352. I own a book by Soviet mathematician Boris Demidovich. It's called Collection of problems in mathematical analysis (Сборник задач и упражнении по математическом анализи). My father used that book while he was at University and now I used it for my postgradueted studies in math. The book that I own is published in 1969 and is a real treasure, it has over a 4.000 problems with answers. Here where I live theese old editions are about 3 to 5 euro.
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  353. Brief summary: How to become better at maths in one week: - Quiet location that suitable for studying - Maths books - At least one hour per day - DO IT (it must be focused work) - Be consistent (do the focused study time daily)
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  354. Students in undergrad ,should just prepare themselves to make their grad experience less difficult, such as practicing math that is not the text or homework problems, still doing problems from their linear algebra, Calculus , Differential Equation , etc, text even after they have took those courses and gotten an A or whatever grade. The point is, if students want to do well in math at the graduate level, just continue to practice, and read other math books and learn to enjoy math not only for grades while an undergrad, but to understand it better and this will help them in grad school. Don't just ignore your undergrad text after you have taken course. Reread it and practice. Watch a math video (eg Udemy) to learn more and/or get a different perspective even in a math course you have gotten an A+
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  355. Amen! It's about falling in love with a future idea of yourself.
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  356. "Okay wait, how did you do that?" "Practice."
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  357. I believe is not great to study 15 hours a day all days. Sure if you love it you may enjoy it while doing it but that means you are dedicating no time to planning your life, your next step on achieving a career and most importantly how you will maintain yourself on the long run. Don’t get me wrong math is great and I admire that someone is capable of studying so much (I couldn’t) but still at age 16, there are still many things that are very important to consider and think about and just studying math is not enough to prosper. Other than that, great enthusiasm.
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  358. ‘Calculus - Early Transcendentals’, James Stewart, 8e... such a nice book.
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  359. I attempted to take calc 2 in a summer session. Painful experience. Loved calc 3 though.
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  360. It seems that the best strategy is to already know about 90% of the math class content before even starting it.
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  361. The feeling when you have ≈2 minutes to photograph your answers, sending them to yourself, converting them to pdf, checking that they're in order and uploading them into the test page (Which fails like 1 out of 3 times)
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  362. Taking calc 2 is hard. Taking calc 2 online through the Covid-19 pandemic, even harder..............
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  363. If it's been that way for over 4 hours then you need to contact your doctor.
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  364. I got expelled from Uni cause I failed all the courses, so I took 1 year off and did nothing but study, even took your Udemy courses...and in 3 weeks I will go back again, hopefully this time will be different, wish me luck!
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  365. 😂😂🤣🤣🤣🤣, Students: I did it all in my head. Teacher: Good, let me just teach you all in my head. Here’s the problem, here’s the answer. I just taught you in my head. If you couldn’t follow my work, then invent a mind reader and do a kickstarter. I’ll invest in one!!!
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  366. University doesn’t support patience at all When I learn any other skill for myself, I would just continue grinding on one topic, and only progress further when I get it. In uni you just need to push through and skip things because if you focus too long on 1 topic you’ll fall behind and be in an even deeper hole
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  367. The number 1 reason is, math is really hard and you will spend a good portion of your time convinced that you are stupid.
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  368. Wow, I had no idea you were not originally American. Your accent is very convincing. Where were you from originally?
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  369. Study groups are great, I had my first kid because of one
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  370. Great respect to Mr Hardy that he recognised and supported the talent unlike many who would have stolen the work
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  371. Doing a theoretical math BS with a minor in comp sci and I'm heavily considering data science for grad school. The perfect video to watch!
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  372. Ramanujan was much more than genious ,its like mathematics was generating in his mind .His many theorem are still beyond understanding of us.i wonder what more he would have come up with if lived more .He is definitely pride of my country India.
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  373. I got into math because I was in love with a girl. By the end of high school I was decided to study biotech but the only biotech course in my state was offered in the capital so I would have to move to another city. But, I met this girl a few months before and got completely in love. If I moved to another city I would probably not be with her anymore. So I decided to stay. Going through the courses in the local university in my city the only one I felt like doing was math. The others were just not my thing (my city is small, there were just 6 possibles majors, math was one of them) So I took math and graduated with straight As (except for Euclidean geometry which was a B) and I simply loved it. Now I’m starting my PhD in pure math in a whole different country. In the top 20 mathematics departments in the world having as supervisor a guy who has theorems with his name. I definitely did not think this would happen when I made that decision. And the girl? Well, she’s my wife now. ❤️
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  374. This is true. Took me a while to figure it out. You should hope for the best but prepare for the worst. Personal story: a few years ago during a snowstorm, my electricity went out. It was very cold. I called 911, and homeless shelter. None of them would help me. 911 told me they were telling people to shelter in place, but did give me rescue squad number, but they had to have somewhere to take me. The homeless shelter refused me outright. The woman said I had to have a Covid vaccine, then she refused me outright. I sort of got a warm place to go, but the rescue squad didn't answer the phone. I have since then got a kerosene heater in case that happens again. Don't depend on anyone. Don't depend on your family. Don't depend on hospitals, churches, 911, police, or any other organizations. Hope for the best but prepare for the worst.
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  375. “Sometimes it just takes time” so true, sometimes we’re just not mentally equipped to handle the problem in the moment, but through hours of experience and gaining wisdom, we eventually hit that next level. Patience is key for development
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  376. Here's a math equation: Candles + Bookshelf = House Fire :)
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  377. Best book is done by Bogle. Buy a mutual fund . Set it and forget it.
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  378. 0:33 Discrete Mathematics (beginner friendly) 2:32 Math proofs/abstract Math (good for math majors) 3:36 Pre-Algebra 4:16 College Algebra 4:58 Algebra & Trig (pre-calc) [can skip] 6:01 Calculus 6:55 Calc advanced (needs logic & proof writing) 7:45 differential equations (integrations help) 8:30 Linear Algebra 9:04 Linear Algebra (proof based) 9:29 Mathematical Statistics 9:56 Probability 10:11 Complex Variables 10:45 Real Analysis 11:57 Abstract Algebra [pre-rec Linear algebra] 12:25 Topology 12:42 Combinatorics 13:05 Naive Set Theory 13:27 Functional Analysis 13:43 Graph Theory 14:11 Higher Level math 14:45 Other Books Don’t have to master :)
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  379. I learned C exclusively from the K&R book many decades ago. It is the best computer language reference book: clear, concise and complete.
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  380. DISCLAIMER: Individual mathematical prowess gained from reading this book may vary. The publishers in no way guarantee the ability to derive freakish mathematical identities after use.
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  381. People are getting intimidated by the number and length of the books, but even just a few of the ones at the start would give a non math major a huge boost.
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  382. 40 here haven’t being in school since I was 17 , today it’s my first day in collage remedial math start today at 8am
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  383. Time needed to process math concepts is the reason why I don't agree with the format of most education systems. 3-4 months per semester is not enough time to learn and master a whole math topic. I think that we should all learn at our own pace with quarterly check-ins and maybe a year cap.
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  384. This course would weed out 50% of the engineering majors when I was taking my degree. This for people who had already done Calc 1-3+ courses. I'd often describe it as the math that even mathematicians don't do.
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  385. This is what getting Real Analysis problems right feels like.
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  386. My PhD supervisor was born and educated in the Soviet Union. He was and still is a superb mathematician. He told me he learnt all this stuff of differential equations when he was 14. By the way, I have this book in Spanish and I love it.
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  387. "Discrete Mathematics..." Comp Sci and Engineering students: Oh, fantastic.
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  388. Successful trading requires a strong mindset. Fear, greed, and self-doubt can hinder performance. By cultivating discipline and confidence, traders can improve their decision-making and achieve better results.
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  389. You’re the reason I was able to complete and understand my homework today. Saved me from a lot of stress
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  390. A long time ago, when John Murphy worked in lower Manhattan at Merrill Lynch in commodities and technical analysis, I had the interesting experience of being brought in as a short-term freelancer. He asked me to produce large display artwork of sample barcharts to demonstrate various patterns in technical analysis such as Head & Shoulders, and Cup and Handle, etc. These were used as teaching guides for Merrill to train their traders. At the time I did not know how famous Murphy would become, as the "Father of Technical Analysis". Actually that experience helped inspire my love of financial charts, and I have spent thousands of hours studying charts of stock, commodities, and forex, and trading in these markets for decades.
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  391. This is exactly why I picked up a tutoring position. It’s rewarding, you’re helping people, but I also think of it as a little selfish (in a way) lol I get excited to see something that I’ve seen before in the past and help someone out who’s struggling with their homework. When you are helping them out, it reinforces what you have learned before to try to commit it to long term memory and it might also give you a new perspective on another way to solve certain problems.
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  392. If you can count, count on yourself.
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  393. Sir, Pinsky is another famous problem book of physics. Along with Irodov's problems in general physics, Pinsky is amother book which Indian students use for their JEE preparation.
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  394. I already posted this on your previous video on the book that Ramanujan used to learn math, but spherical trigonometry is still taught at nautical academies to prospective navigators. Pilots learn the subject, too. Spherical trigonometry is seriously cool, you can't call yourself a navigator if you don't know this by heart 😄
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  395. aw i feel you. i'm a ninth grader and i've skipped all of online classes and cheated on tests this year. now, we're going to have school in person so i want to study everything or i'll fail. and i wish you goodluck. and since you're 21 i bet everyone will be easy for you <3 just watch youtube (the math videos) and you're good.
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  396. One thing every student should keep in mind. No matter how good the teacher is, someone will usually get an F. And, no matter how bad the teacher is, someone will usually get an A. Many times I've bought used math books. The first three to four chapters are almost all highlighted and underlined. The rest of the book is totally clean of marks. This tells me that probably the student dropped the class after the the first few quizzes or test. It also tells me the student probably didn't know how to study math. You have to learn to study smart. When I was working on my master's I had almost all A's and a couple of B's in the required classes. I was feeling pretty confident. I went to the department and asked to see some previous master's comprehensive exams. I was stunned! I couldn't hardly answer one question. I went to my graduate advisor and he said, "We have a really nice library here, why don't you availe yourself of it?", with a smile. There was about six months until the exam. I got with a group of about four students and we formed a study group. We did every problem on every exam and taught each other. We all passed. You have to learn how to study and study smart.
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  397. How Many Have Heard About IRODOV 😂
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  398. But don't start with that first edition of The C Programming Language. The 2nd edition covers the ANSI version of C, from 1989. The programming language (actually most programming languages) is/are regularly updated.
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  399. Despite your bias towards mathematics, you still recommend going into CS for the majority of applicants. I respect your honesty.
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  400. I am a EE but now I am a software developer. That book in your introduction brings lots of good memories because I studied it to become a PE. By the way, most engineers prefer shirts with pockets because we can carry a pen.
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  401. PLEASE BLINK 🙏
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  402. He left this world way too early. Imagine what he'd accomplish if he had more time.
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  403. I did my MSc in Engineering from the Soviet Union 33 years ago. I still use those excellent textbooks as a reference.
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  404. IQ doesn’t matter at all to study Math. The thing that matters is the hairstyle.
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  405. Linear algebra is also important for computer science. Especially if you are getting into graphics.
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  406. Why are books and college teachers so bad at explaining these concepts? I swear.
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  407. The hardest part is not getting stuck in that pattern of failure, or to start viewing yourself as someone who fails.
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  408. I literally saw this book in the library yesterday, this is a sign that I have to pick it up…
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  409. As a matter of fact no one says the full quote which Shakespeare had given us “Jack of all trades is master of none, but often times better than master of one”
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  410. "The most important step a man can take is the next one, always the next one. If I must fail, I will rise each time a better man" has been what I tell myself during the pre-exam and post exam moments
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  411. TIL; if you have eight pre-algebra books, you’re obsessed with maths!
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  412. > "I'm using abusive notation here, don't write this on the exam." > Continues to teach nothing but abusive notation the entire semester, to prepare us for the exam
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  413. Watch at 2x speed so u could get better in 1 week guys
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  414. I am currently working on finishing my Master's in pure mathematics. I kinda feel like I needed this. Thank you.
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  415. For the comment readers out there, his surname 'Knuth' is actually pronounced as "Ka-NOOTH". The question " How do you pronounce your last name?" is actually on his 'Frequently Asked Questions' web page. Some of my comp sci friends call these "the bible". Also, these books inspired the development of the TeX typesetting system.
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  416. It doesn’t matter what “level” of math you’re at, this is great advice.
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  417. Bernoulli 0:00 Homogenous 19:00 Finding form Yc and Yp 29:00 La Place 35:30 Exact 44:45 Variation of Parameters 52:40
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  418. Yes. As a physics graduate, I can safely say that pure mathematics is the hardest degree you can get in undergrad. Any degree that has to do with developing sharp problem solving skills (physics, math, engineering) is gonna be looked highly upon by potential employers.
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  419. As I was reviewing my electronics school notes from the '80s the other day, there was a small section on how to learn. It mentioned that "forgetting starts to happen in the first 24 hours." This was both shocking and a revelation, since the solution was something else in those notes: review. I thought the forgetting was just something that was only happening to me, since no one ever discusses this being one of the major obstacles to learning or how to win that boss fight. It could be that it's a given since otherwise there would be no need to study for a test because you wouldn't have forgotten either the readings, lectures, or notes. But it was a relief to see that forgetting is somewhat normal and obviously happens to varying degrees per case. But the solution is a good review regimen. It suggested review the day before prior to beginning today's work, then review the entire week at the end of the week. This seems like a lot of work, but it should prevent the large dropouts in retention that I keep running across. I'll be keeping my eyes out for how to prevent retention loss as I move forward. Thanks for these other vital steps mentioned in the video to putting a lockdown on the various subjects.
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  420. Oh my god, I remember when I was in your calc 2 class, you told about this test LOL. Bless you for changing it hahaha
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  421. There are also schools & teachers who cheat students by: 1. Putting any form of a trick question on a test. There is no way to answer these unless by probability you happen to get it right. 2. Putting something on the test that IS related to the subject, but was covered nowhere in the text or lectures, and 3. Putting something on the test that isn't even related to the subject at all, was covered nowhere, and their excuse is a flippant "you can google it." All these are methods for the ever popular and growing trend of forcing low grades which is 180° from instructive education and as such is cheating the student out of both the education they signed up for and their futures.
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  422. guys i had a 59% a week before finals and i passed with a 75% for differential equations, I had a lot of math gaps and my background was bad but I definitely learned a ton and filled in a lot of gaps. It’s never over.
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  423. A muscular math sorcerer who plays guitar? Your charisma is off the charts!
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  424. I already know I have a high IQ -- I watch "The Math Sorcerer" on youtube
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  425. Calculus itself is hard. It's just while you're getting further to it, you're just being used to failing quizzes and tests, and learning to hope against all odds.
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  426. You need to collaborate with Andrew Dotson on one of these, he's the best at them.
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  427. this man is so consistent and inspirational.
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  428. Next: how to read a book that doesnt have solutions to the exercises and not die trying
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  429. 7:10 "There's two things in math, there's breadth, and then there's like death." Me: 😳 carefully puts pencil down.
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  430. Mathematics is eternal, computer science is constantly changing. I received my math degree in 1984. The math I learned is still just as valid today as it was then. Can the same be said of computer science? I doubt very seriously if someone could get a job in CS today, only knowing CS from the 1980s, but they could get a math job today with a math degree from the '80s.
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  431. I agree completely with this video. This is the path that Edison, Tesla, Faraday and Feynman took to become a genius in their field. The path is much more rocky and thorny than that of Einstein, Maxwell, Leibniz or Newton but the recognition of being an ordinary man that can accomplish genius level problem, in my own opinion it is way more meaningful than being a gifted man from the start.
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  432. I used pens almost exclusively. Even scratch paper was often a deliverable document. My favorites were the cheap Bics in black, red, and blue: red for outright errors, and blue for tightening up my original thoughts. I also kept orange, purple and green handy. (:
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  433. Why was the math book sad? It had too many problems!
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  434. These types of videos are what everyone needs, but nobody knows what they need. Thanks!
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  435. If you think you are smart, go CS. If others think it too, go math.
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  436. Speed + accuracy : it's a neat trick if you can pull it off! Will definitely work on it, cheers!
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  437. I am almost through the entire book and have felt that it solidified a lot of the knowledge. I feel much more confident in my math ability now.
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  438. I think in education, we never really get to explore depth. We're spending so much time injecting information into our heads. I always wanted to get GOOD at the stuff lol. That's what self study is for I think, getting good at what you love.
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  439. I recently dropped my video gamed addiction and picked up math instead and watched your first edition of “how to start math” video. I've started with discrete mathematic with application by Susanna Epp which you mentioned before, it's a little thicker than I thought (almost 900 pages) but I'm 200 through, and I've been having fun so far.
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  440. Specially when major theorems are given as exercises
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  441. I set a goal for myself in 2013. I worked hard toward it. It came true this year. The problem is.....I now see how I could have achieved a much larger goal if I had only considered it possible. I wouldn't have even had to take much different action. All I had to do was believe it was possible...but I didn't. I couldn't see myself overcoming certain circumstances....my thinking was too small. Glad I learned the lesson.....THINK BIG! Thank you for the content!
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  442. Man I remember my first attempt taking Discrete Math, and a lot of it really was like this video, except I was so unsure of my abilities that I actually DID nearly every question in the textbook and still failed. Just goes to show that it's all about grasping concepts in math, not memorization. Practice is great but you have to know _why_ you're doing what you're doing, and the best teachers are the ones that do that.
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  443. Very well said. “Math teaches you how to think” I was a math major and am now in medical school. I always credit my math background for giving me the problem solving skills that got me through organic chemistry and biochemistry.
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  444. So for anyone wondering, as someone in their 30s with 0 math experience, this book is amazingly priced and great for learning/relearning mathematical concepts. A+
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  445. I'm currently in a math PhD program and this is something I think about all the time. A closely related thought: in math I think you need to be able to take frustration and turn it into motivation as opposed to giving up. For me, when I don't understand a concept, it really bothers me and pushes me to learn it instead of just getting frustrated and giving up. If anything I think studying math has taught me how to see things through and stay motivated
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  446. My main takeaway from this video is that tall people are calculus masters.
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  447. My two cents 1) Believe in yourself. I always did badly at high school math because j thought I was "not a math person". I changed that in college and thought "what's the big deal about math? So many people do it and hence I can" and that dramatically changed my relationship with the subject. I obviously didn't become Ramanujan but I had the motivation to sit down and blitz my way through problems rather than living in fear of the subject and putting it off until it was no longer possible. 2) Keep the faith - Nobody, not even seasoned math professors can come up with solutions to problems instantly. So don't lose faith when you hit a wall. Just take a break and get back at it. Rock is stronger than water but when the river persistently flows against the rock, it can wear it down. 3) Be fully involved with whatever you're doing. It's better to do two problems completely rather than skim through 15 and give yourself the false satisfaction of having understood a concept.
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  448. I have a sister that struggles with math. Her math teacher doesn't care about her class. I clicked on this video thinking of her.
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  449. It's actually gastroenterologists who study the appendix.
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  450. Watch this 2x the speed It’s quite terrifying, SPEED INDEED.
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  451. Wizard, I’ve heard you mention how much math you can learn in two weeks. You should start a two week challenge.
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  452. A powerful opening sentence: "This is undoubtedly the most important function in mathematics." I thought it was an especially audacious statement the first time I opened this book, but I quickly came to agree
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  453. I thought he was going to say "no social life".
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  454. Me: Watching this video knowing i’ll never read these books.
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  455. I think the anecdote about the girl that was aiming for perfection is quite interesting. If you are too hard on yourself, sooner or later, you are going to crash. Aiming for perfection can cause someone to give up. "Why bother after all?" Trying your best, and aiming for the best, being humble, asking questions, that's the key for me.
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  456. Highschool algebra wasn't that hard at all But education system ....at teaching it
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  457. “Babe wake up, the sorcerer posted a new vid!”
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  458. Evolve or repeat. Control is an illusion. You always have a choice. Thank you so much Math Sorcerer, for like, much you HAVE done… right.🎉
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  459. Self-study is more fun. This morning I was doing a Fermi Problem in a physics textbook related to a pile of gold. I had to look into a calculus textbook to find the volume formula for a cone. I used it to solve the Fermi Problem and I got a close approximation to the actual answer. Self-study is like research without a deadline.
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  460. That part about people thinking you can solve anything is SO accurate.
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  461. I took Calc 1 twice, Calc 2 three times, Calc 3 twice, and DE only one. Isn’t that interesting lol.
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  462. I have déjà vu. Matrix failure. I think I've seen this video on this channel before.
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  463. And the angel of math came then said "be not afraid"
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  464. Bro is just casually dropping the wisest videos of all time
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  465. Thanks professor I am leaving my wife and kids tonight to make it big in Hollywood 😎
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  466. You actually do kinda look like him
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  467. Thanks for making me aware of this book. I was awful at "math", hated it. That's because the "math" I knew was simply boring arithmetic. The experience was similar to studying the alphabet for years and years, never realizing that the building blocks could be put together into a fascinating narrative. I am much too old to go beyond simple algebra, but books such as this allow me to get just an inkling of what I've missed.
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  468. I'm 81 years old, and always had the dream of being a mathematician; and although I had a paper published once in the Journal of Symbolic Logic in 1988, The False Assumption Underlying Berry's Paradox, and have created the foundation of a new set theory, I don't really know math, or set theory for that matter, at all. This video points the way, it seems, or at least gives a place to start. So I'm going to get the book and see how far I can go with and beyond it in the limited time I have left. What an inspiration is this video!
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  469. YOUTUBE SHOULD OPEN A SCHOOL FOR ALL THE YOUTUBE TEACHERS THAT TEACH BETTER THAN SCHOOL TEACHERS. PERIOD.
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  470. “If people do not believe that mathematics is simple, it is only because they do not realize how complicated life is.” ~John von Neumann edit: as a math person myself, I can confirm this is how we live
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  471. You forgot the biggest conspiracy: "Infinite sets exist." Apparently it's gotten to every single analysis professor
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  472. Mentally hardest: Math and Physics Physically hardest: Engineering...I haven't slept in weeks
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  473. High school: "Huh, I'm doing great at math. I must be a math genius." Undergrad: "Ok, ok, no more perfect scores, but still topping classes. I must be a math genius." Grad: "Wow. I'm a moron, aren't I? Whoever was on my admissions group should never make an admissions decision again."
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  474. If you're here , I will let you know that your audience appreciates your work.
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  475. I'm a math mayor. I have graduated in 2021 and by then I was already forgetting a lot from my early classes. Currently, I'm in a graduate program, and having to refresh on the old stuff can be at times frustrating and makes me feel like I don't belong in the field. What is the only solution? Practice. Practice. Practice.
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  476. I wish I could flick on a switch and just believe in myself, but it's way easier said than done
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  477. Exercise regularly! It reduces stress and gets more blood and oxygen to the brain! It even helps you sleep better! Diet matters too, for focus and energy!
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  478. I thought bro finally divided by zero and the FBI was after him or something 😭
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  479. Sensei is a gigachad both at life and maths
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  480. 1. Finish home work early 2. Go to every class without skipping 3. Studying for tests 4. Ask questions in class 5. Form study groups
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  481. After tutoring math for 10+ years the one thing that I have always told my students was to "do as many math problems you can get your hands on". I told them the more problems that you do on your own, the better chance that exact problem (or one very similar to it) will be on your test and you will know exactly how to handle it. Practice makes perfect, right?
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  482. I grew up failing at math. Still can’t do it. Yet I click on this video when YouTube randomly recommends it to me
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  483. Growing up, I believed I was incapable of learning math and hated myself because of it. This way of thinking bled into other areas of my life and resulted in my lack of confidence to do anything, causing me to fall in depression. It wasn't until recently that I've decided to make it my life's mission to learn math and hopefully help others in the future that have struggled with it like I did. After a year of re-learning the basics, seeing my incremental understanding in math has boosted my outlook on life and has given me a purpose to live. Thank you Math Sorcerer for the encouragement!
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  484. What's funny is, I have zero interest in mathematics. It was just never my thing. Your content is still incredibly valuable to me. That, to me, is the sign of a good teacher: The ability to tailor your knowledge of a specific field in ways that have broad applicability. Keep doing what you do. It's great stuff.
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  485. I taught English at a community college for decades. Here is my experience with plagiarism, the most common form of cheating in my discipline: 1. As a new professor, I heard some of the more experienced professors laugh about plagiarists and take great joy in finding them, failing them, and reporting them. They took plagiarism personally. I never mocked people or enjoyed the process, but I thought I had to take a zero tolerance approach to plagiarists and either give them a zero for the paper or fail them for the entire class. 2. As I became more experienced and I had conversations with the students who plagiarized, I began to understand why students plagiarized. Some felt overwhelmed or unsure of their own writing. Some felt like they were too busy to complete an assignment. Some were not yet skilled at properly paraphrasing or summarizing sources, even after a few lessons in class. 3. So I began to set up my class to reduce the incidences of plagiarism (as did many of my fellow professors, more or less independently). We started the semester with low-stakes assignments, broke important assignments down into smaller assignments to allow us to pinpoint problems before they became big, and, for my part, I gave students who plagiarized a chance to rewrite their plagiarized paper. Some students would take that chance and write a great paper, others would take the chance and write a terrible paper, but it was their paper, and if they were doing well enough in the class otherwise, they still might pass, and others would just stop coming and fail the class. Once I made those changes, I never had to refer anyone to a dean for plagiarism. PS. We can easily spot plagiarism even without Turnitin.com. The benefit of Turnitin is that it speeds up the process, helps us find evidence, but if you are good enough to plagiarize without getting caught by your professor, you are basically paraphrasing well, so you may as well add the proper citations and not take any risk.
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  486. I've always considered myself to be bad at math since I was younger. I kinda have trouble understanding concepts that are too vague or abstract in nature. Probably that's why I like words better. Less complicated. Numbers kinda mess up with your mind. Not that I mean it in a bad way, in my head, they just get jumbled up. I don't know if anyone can relate, but I'm just sharing my thoughts.
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  487. I read this book and I think this is the best book. There are two other books that can accompany this book: 1. Technical analysis of stock trends 2. The handbook of technical analysis As far as technical analysis is concerned, I believe these three books cover 99% of what you need. The rest is practice.
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  488. Even taking a walk in nature and meeting good people has an immensely positive impact on the brain
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  489. I was definitely the person that overdid it in math last semester. I went to office hours at least once a week, put in many more hours than the homework demanded, planned my day and my sleep schedule around math studying, and did the practice tests until my brain was fried. I got an A in the end, but I think I would have been a little happier if I studied just a little less, even if I got a lower grade. Some people love to do math all the time, but I don't think I'm one of those people. I think there's a difference between working hard and overdoing it. On the bright side I know calculus 2 really well now haha.
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  490. Me: "I would never cry over reading a book!" Textbooks on precalculus, chemistry, and biology: Allow us to introduce ourselves...
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  491. Is this the legendary dad random lore drop
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  492. My advice would be this: Before taking multivariable calculus, try to take (or study over the summer) linear algebra. Things like the multivariable chain rule, implicit function theorem, inverse function theorem, Jacobian and Hessian matrices, multivariable Taylor, etc. will make MUCH more sense if you know linear algebra. Unfortunately nobody told me this before I took Calc III :(
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  493. If you study math for the beauty of it and for the sake of understanding, then you will never have a problem with grades
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  494. I don't know what it is like in your school, but if you walked into the math department at mine and yelled for help, literally everyone in the building would love you.
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  495. True learners allow themselves to fail
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  496. My university actually taught the disk/shell/washer method in calc 1 and I found it pretty easy to grasp. Personally, I found the integration techniques the hardest part of calc two. Infinite series were more straightforward and the tests for convergence/divergence were never too difficult as long as you could remember all the tests. But for some reason, integration by partial fractions and trig subs absolutely kicked my ass.
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  497. I think something to always consider too is what someone else's history is with a math class. I had one particularly challenging course and another student in the class seemed like some kind of Einstein in there. He knew everything. One day in class he stopped commenting and answering questions like he used to, and I asked him if he hit his wall finally. He preceded to tell me he had read most of the text over the summer, and that lecture we finally got to a point where he didn't read up to. It just makes you see that he wasn't some kind of genius, he put in some extra time before hand and already had some exposure to the material.
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  498. How about the famous Landau&Lifshitz (10-volume physics book) that is still used at top-tier universities? (In particular, volume on fluid mechanics is used at University of Cambridge for their 3-rd year course). Would be fun to see a review of that one.
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  499. I came to mathematics from a background in philosophy and math never really “clicked” for me until I hit proof writing. It felt very similar, proving tight logical arguments in the apriori world of abstraction. Proof writing really should be taught more in K12. Once you fall in love with the logical flow, it’s a game changer.
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  500. Countries like Peru and Mexico increased exponentially their level in math due to the soviet professors that came to teach at colleges. Till this day there are various courses that their syllabus is based pretty much in translated soviet textbooks. Those textbooks have an amazing level
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  501. Something I noticed in myself is that I would most often make these mistakes when I was too confident in the math. I would be able to see where the solution was going to come from, and I would be so focused on getting to the solution that I would stop paying attention to what I was writing. Numbers from steps further down that I was visualizing would creep out onto the paper, or I'd stop paying attention to the signs, or I would apply a theorem only partially and leave too much out so the proof wasn't obvious anymore. I also noticed that the more I felt pressured to finish in a certain amount of time, the more likely I would be to have this sort of math ADHD where my mind would be chasing solutions and not paying attention to the process of getting to them. If you want my reaching explanation, I think a lot of mathematics "maturity" comes from having spent enough time slowly perusing a textbook and painstakingly working out solutions by hand while being forced to ignore everything else that you, indirectly, teach your mind to focus on single task. It's a sort of therapy for attention disorders or deficits. You refine that focus over the years of reading and mistakes and agony to the point that it becomes scalpel-sharp and then, without realizing it, you're suddenly "good" at mathematics.
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  502. About 5 generations of mathematics students in India used this book. I had a copy of the solutions book also somewhere.
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  503. That's right, at lunchtime at school, I was sitting alone with my math book and solving equations But I'm happy now because I thought I was the only one. But the strange thing is how some people see mathematics as a boring and difficult thing, while others see it as a best friend when they feel lonely
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  504. I get too much anxiety if I feel like cheating, it's much easier just to learn the material.
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  505. I'm seriously struggling through my degree, but it's struck me this far in that nothing we do is really particularly hard... the workload just sucks and you never really have enough time to devote to each thing to master it before the next topic comes along. Then it snowballs and you're totally lost by the end of the semester. The abstract concepts in math and physics majors sound much harder to me, but the engineering nightmare is just being pulled in 10 different directions at once and difficulty scales with how poor your time management skills are.
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  506. "How do i get a positive mindset if my life sucks? You need to get over that, you need to squash that, you need to work harder", needed to hear that, thank you so much
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  507. Me watching this in grade 8 .................... How shameful
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  508. So many times I'm like "yeah, that makes sense", I understand what is going on. Then I try to do exercises and I don't have a clue on how to start
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  509. Lockdown: Perform an environment check. Me: Awkwardly tilts the 20lb desktop monitor.
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  510. Do the exam, please! It looks very difficult and I'd like to see you solving the questions. Cheers!
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  511. This 5 minute video made more sense then an hour long class and an hour long lesson
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  512. never study in a loud environment me, living on one of the loudest streets in my city: 😅
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  513. Faster =/= smarter.... Smart people are those who think deeply and originally, not those who solve some problem fast.
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  514. Identity theft isn’t a joke, Jim
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  515. I'm in high school and doing a lot of self-study with math, so this advice definitely came to me at the right time. I used to underestimate how great math books are, and now I have a couple books that I'm studying from currently. Very grateful for the content you put out, glad to have subbed for a couple months now
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  516. Good morning from UAE, it's 8:22am. I'm 15 years old and I just finished learning college algebra and Trigonometry in my summer holiday now I will start calculus! Wish me luck
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  517. Self Study math especially when your older, for me has been the very best way to go. You can set your on pace. And its terrific for the mind. It's like the old saying ' you'll lose it if you don't use it.'
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  518. Just defended for my PhD in physics but I also love mathematics. Courant also wrote a mathematical physics book with David Hilbert if I’m not mistaken.
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  519. The study of mathematics can't be finished! It's endless
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  520. “Attempts to understand uniform continuity” ..”You have been slain” Very relatable.
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  521. you're the man who made me buy my first 3 math books OUTSIDE of school and made me realize how awesome math really is :D
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  522. First time seeing Math sorcerer in the wild.
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  523. WHY don't they just teach this to us in lectures?? It's not even that complicated..
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  524. Mathematical maturity is real and, like you said, timing is everything.
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  525. Imagine creating something so useful to people even 110 years later. That is a legacy.
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  526. bro is luminous. a math sorcerer for sure.
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  527. with western textbooks, especially American, they have a very informal dialogue with the reader, but they also digress at the same time, as if the professor were doing it in real time. They are a real waster of time if you're trying to revise for finals but never highlighted the key points which are like finding a needle in a haystack. Russian textbooks are always very straight to the point, they are easier to read again and again. Isaac Maron's calculus books are quite good too
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  528. Who is this guy... This is the product of self-reflection and a man who has learnt all that life has given him.....
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  529. You’ve inspired me so much through the last 2 years of my life. I self taught myself linear algebra and now I’m gonna study the Vector Calculus book you showed in your videos!!
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  530. If you're going to learn one programming language, C (and I don't mean C++) would be the language to learn. Mainly because it will teach you to think about what the CPU is really doing. Then learn C++ and/or Python after that. Self-taught C/C++, Fortran, Python, Java, Linux/Unix shell script, etc. Used almost all of them professionally over my career. Last time I wrote Fortran code was probably 15 years ago. Last time I saw and/or ran Fortran code was yesterday. That's how prevalent it still is.
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  531. Reading a math textbook without doing exercises is like taking a shower while wearing a raincoat.
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  532. Man, you inspire me. I’m 37 years old and I’m changing the trajectory of my life. I’m diving head first into mathematics. And I’m loving the process.
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  533. People often seem to forget that it's not the goal but the journey that matters
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  534. It looks like every mathematician has a weird path.
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  535. i HAD AN IDENTITY CRISIS DOING THESE !
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  536. Ah yes! More algebra books! These basic and middle-level algebra books are so important to properly progress without too much frustration. Indeed algebra books, in general, deserve as much attention as calculus books get. Thanks!
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  537. The take out of this talk is: 1. Hard work 2. Practice and practice 3. Accept failure as a normal thing 4. Practice (gather a lot of examples/paper/books and go through it)
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  538. I think one of the reasons most people aren't mentioning in the comments is that ignoring a lot of aspects of your life is going to affect your studying in any area. I thought I was doing something wrong when I was having memory problems and was blanking out a lot and everyone just assumed that I was "not talented enough" in math. Turns out that my health was in terrible condition and my home life was nothing short of abusive. In many instances when you are surrounded by people acting as if everything is normal, you don't realize that your studies are suffering as a result of your circumstances and no matter how many times you try to focus, it won't change too much until you give yourself the environment to thrive in first. I understand that this advice might not be helpful to most people, but it could happen to anyone. Also make sure to drink lots of water and exercise because it legit affects how well your brain works. Leaving a disruptive and stress inducing living situations improves your results and mathematical abilities 100%. Good luck everyone!
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  539. Why do people go to,the gym and lift weights? Is it going to help in their job? No. It’s making their body stronger. Math makes your brain stronger, smarter. It trains your brain how to think. It teaches your brain the skills you need to solve hard problems. It’s a gym for your mind.
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  540. Be careful using ANY formula for trading securities.....profitably. Investments, finance, and economics are not hard sciences where you can use strategies such that if you do X, then it will result in Y profits. Anyone who tells you differently is either a fool or a liar or both! This is especially true with "technical analysis", which uses techniques such as moving averages and so on. Also, relying on the "long-run"....we are reminded of Keynes famous quote that "markets can remain irrational longer than we can remain solvent".... Caveat emptor!
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  541. The best thing with failing is you learn to humble yourself. When you fail, your ego dies and the real learning starts.
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  542. as someone who hasn't taken a calculus class yet but did a decent amount of self studying, I'm quite proud of myself for being able so solve it :)
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  543. Have you ever wondered how providing the answers to the odd-numbered exercises became the standard practice in Math and Science textbooks? I think that would be kind of interesting to hear how that came about, who came up with the idea to do that in the first place, and how they convinced the entire textbook industry to go along with it. Just a thought.
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  544. "Why do we fall? So we can learn to pick ourselves up again" - Batman Begins
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  545. Math Sorcerer, YOU are DEFINITELY the go-to man for math inspiration!!! Thank you lots for producing and posting these videos!!! You are indeed a pedagogical treasure!!! :) :) :)
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  546. I am a simple man. If I see a man in the woods holding a stick and he says he's going to tell me how to get better at maths, I click
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  547. I feel like knowing a lot of math definitely makes one susceptible to "elitism". I am just barely breaking into undergraduate math and I can already feel that "wow, I'm pretty smart!" feeling creeping in when I finally understand some results. The key is to just have fun with it, make some fellow math friends, but don't look down on people who don't know math. It's a blessing to have the time to be able to study math for a living! I used to get annoyed at "less than clear" expositions, but then later I realized...that's exactly what you want once you get to a higher level. It's like boom, boom, boom, let's get to the next result. There's an exposition out there for literally everyone at every level. That's why I love your channel because you really help people find the resources they need (and all the encouragement is awesome too!).
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  548. Even as a math tutor I would struggle to answer all of this.
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  549. I can see concrete engineers picking this up by accident.
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  550. "The problem needs 10 important steps. I shall explain 1 step to you, the rest is like the example on your book." On book: 'The 10 steps are from 10 different theorems you studied two courses ago, so it is self explanatory.'
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  551. I have studied charts for 30+ hours a week for 3 years now. No indicators except a simple moving average. If you look long enough, you will realize there are so many mind boggling coincidences in the chart. The charts are living breathing entities and provide all the information you need to know about where it's going.... the challenge is figuring out WHEN it will go to it destination. I only believe in TA, and I'm convinced that news, events, and "catalysts" are only tools of the chart take in the necessary direction. I will check out this book.
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  552. I studied Electrical Engineering in the 90s. I got my professional engineering licence and later became a high school math teacher, which is my true passion. I recently decided to take a two year break from teaching and go to graduate school full time to get a masters in math education. I don't know if it's my age, but this has been the hardest thing I have done. My first class was a graduate course in number theory. Never in my life had I seen formal proofs, I almost quit right then and there. It has been really hard. I tip my hat to all math majors, you have a special kind of talent.
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  553. life is the most counterintuitive thing that exists
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  554. I went back to school at 49, and am about to get my BA at 52. You were part of my journey. Thank you.
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  555. If you can study full-time without having to work, please definitely take full advantage, because that's a rare opportunity in this life.
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  556. The combination of a looming deadline and frustration at not understanding the relevant content can be very tough. Good advice!
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  557. I solved almost every problem of the latest edition of this book in undergraduate electronics engineering. I don't know why... l still love this book.
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  558. The cool thing about this man is that you can easily watch and enjoy his videos even if you’re really bad at math (like me); obviously if you are at a certain level you can enjoy his videos even more, but this channel is still the best math channel I’ve ever laid my eyes upon
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  559. One of the best bits of advice I ever got: if you're failing a math class, it's not that class you need to repeat: it's the one before it. So many students of mine struggled in calculus because they never learned their precalc and learned it really well. I enjoyed teaching precalc using the Stewart book, but the Swokowski was really good, too.
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  560. I spent months working on getting through textbooks on and off, doing six hours a day sometimes and then none for a week after that. Since I committed to doing an hour of math a day I think I'm averaging at least three hours more than before and am getting much better at remembering things. Keep up the great videos!
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  561. One of my math teachers once told me that he really didn't understand calculus until he taught a calculus I class as a TA.
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  562. Reason #1: you aren’t a masochist
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  563. You can't fool me, Jeff Bezos, I won't buy my books on Amazon
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  564. While I agree that all of these attributes are important, I think random chance should not be ignored. Being in the right place at the right time and having exactly the right connections to set you up for massive success plays an enormous role.
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  565. One great tool Mathematicians use to develop mathematical maturity is that of subconscious assimilation. You read something too complicated for you to understand, and return after two or three weeks and BOOM you got all things in place. It's as if your brain tries to make itself understand such stuff in the background while you're doing something totally else.
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  566. So cool! What’s your expected time frame to get through all those books? A decade? A lifetime? Enquiring minds want to know🤔🎓
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  567. Patience is also key. Like you said about “ok, I’m going to do one hour” then the goal ought to be to do math and understand it for one hour instead of “i’m going to do this section in one hour” because then we rush through and get frustrated if it goes slower. Enjoy the process! Sometimes, it’s worth it to get bogged down on one thing for one hour, because when you break through, it feels so good!
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  568. Yes, the math wizards caught him sniffing... the head deans favorite math book, in the library and now he can't go back.
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  569. 😂😂😂😂 trees
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  570. There is something deeply wrong about teaching students only contemporary skills Finance, for example, yes we can teach our students to apply skills to the current world But this world is not static, and we know this especially with the great technologic advances we see before us So, what does Mathematics offer? The ability to think of problems at their essence, to deconstruct and to reassemble information into solution Mathematics does not depend on the world as we know it; so, flip all the variables and if you return a new world; Mathematics will be our most fundamental tool at pushing us back to understanding
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  571. Some of us look at your bookshelf like Homer Simpson looks at donuts. The difference is math is generally not fattening.
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  572. "I work really hard on a video, post it.. no one cares, right?" I care. Love your videos.
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  573. Math sorcerer to jacked sorcerer 💪
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  574. Looks pretty manageable. Then again, I'm about to finish my junior year as a math major, so I'd hope I can pass a differential calculus exam. 😅
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  575. I think problems in life are easier than they often seem. It’s just that oftentimes we don’t like or don’t want the simplest solutions. Opinion, feelings, desires, preferences come to interfere with the solutions in life.
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  576. Hmmm the cover is a little...suspicious 🤔
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  577. I'm a freaking dog , man. Laying on the grass, ultra-focused on my math.
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  578. “Every champion was once a contender who refused to give up.” Rocky Balboa
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  579. I'm a tutor and I often cite your channel to all my students saying that I like your channel because you are a down to earth guy and you explain your struggles and how you overcame them and that you don't try to artificially make maths, "Fun".
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  580. Can you please make a video on publishing a math paper?
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  581. 2:35 AND there was a girl too... That's how you know it was a math grad school
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  582. I love these sorta "advice" videos that he makes which on the surface seem particularly catered to math students but in reality is just wise advice for life in general...
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  583. NEVER GIVE UP
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  584. Life is hard
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  585. Wow, the math sorcerer is jacked !
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  586. And remember ...The Math Sorcerer's Force Spirit will be there besides you to help you along the way.
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  587. 2:44 Just tell people you're specializing in Algebra, and they'll probably say "Oh, that's not hard. I already learned that in high school!". 😆
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  588. Wasn't expecting to love this channel so much
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  589. I love that feeling of fatigue in my mind and body after devoting most of the day to my studies. My brain feels like melted but my heart is light and my soul, ablaze!
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  590. At 70 and retired, I'm pretty sure studying math, solving 20 problems of ever-increasing complexity daily, helps my brain practice learning, accustoms it to the process, and develops in it a hunger for more to learn. I think it makes me smarter. 😎🖖
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  591. I went back to school at 50 to get my MSc, then went on to complete my PhD at age 57. My research area was Artificial Intelligence rather than maths, but my age was not a handicap. If anything, my maturity and life experience helped me stay focused.
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  592. Dr. Garrity's experience is a lot like mine in that it seemed instantaneous when the math you're reading finally makes sense, but he doesn't articulate the "why" completely which might lead some to believe it's miraculous when it's not. He immersed himself in the subject and was subconciously working out problems in his head. Most of use know what that's like when we've crammed for an upcoming exam. Becoming mathematically mature happens like that when you immerse your self in whatever books you're trying to read and internalize. It's your brain working overtime because you're oversaturating it with math. This is how we math people conquer new areas of mathematics. Just immerse yourself in it. You'll never learn it if you give a shallow attempt at it every once in a while.
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  593. This will help me with algebraic topology and measure theory, thanks a lot.
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  594. I failed Calculus 2 last year. I stumble upon your channel and began to change my approach with math. I'm now in CALCULUS 3. THANK YOU.
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  595. I agree. Just give it time. Knowledge acquisition is not a discrete event, it's not a step function. You rarely go from "not knowing" to "knowing" just like that. Just give it time for hard mathematical concepts or ideas to grow inside your brain.
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  596. When Jeff Bezos decides he wants to be a math professor:
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  597. we are grateful that we got a teacher like you
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  598. I’m not mathematician, but I think for self-learning you need to go step-by-step instead of jumping from low level course to high level course, because this way will build your understanding gradually and then the next course will be easier to learn. For example you can not understand differential equations without learning calculus. Thanks 🙏
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  599. Your perspective as someone who's gone through the trenches so to speak is invaluable. Keep up the great videos!
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  600. To do mathematics is a passion, an obsession, an addiction to explain things in the simplest way possible. In this endeavor, working hard in Maths in a kind of pleasure and torture at the same time.
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  601. I always keep this quote in my mind when I want to progress in life. "When you are the smartest in the group, you will never be more smarter. You should leave the group as soon as possible". That's it. If you want to be intelligent hang out with people that are more intelligent than you while studying.
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  602. When I was in school, a lot of people thought electrical/computer engineering was the hardest.
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  603. "The proof is left as an exercise to the student" is one of my favorites. Also got "The Navier-Stokes equations are represented here as a matrix for your convenience" a couple semesters back.
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  604. I have found over the years that maths books with the words "Basic" or "Introduction" in the title are generally neither basic or introductory.
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  605. "Fill in the gaps" Annoying how true that is
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  606. wtf i didn't know this guy was shredded
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  607. I thought my dude was filming in the library until I saw his shelf decorations. "I make enough to buy the books behind me" is a way bigger flex than most will appreciate.
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  608. There is also a similar physic book. B.M. Javorskij - A.A. Detlaf, "Physic handbook", MIR, Moscow, 1977, pp. 764. ;)
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  609. I do wonder sometimes how much physical brainpower and ability affects my learning. I remeber being younger and when I would learn math my mind was blank and nothing made sense. I used to cry at the table when my dad would help me with homework and get frustrated. When I got to college and switched to a stem degree I had to catch up on math and it was suddenly just possible to learn and even excel. No idea what changed I think my brain just matured, and now I'm self teaching linear algebra for fun.
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  610. I'm glad to own "The Dragon Book", "The Wizard Book", and some other "computing classics". What's weird is that I bought most of them in early 90's while I was still a teenager and didn't have any reference, I just picked them by flair. And yes, I saw the full lecture from Abelson and Sussman circa 2005, it was an eye opener :).
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  611. The hardest math course is the course you're currently taking!
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  612. Math sorcerer is just chill like that
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  613. I just want to say thank you brother. How are you brother? Six months ago I didn't even know how to add or subtract, I started watching your videos and you inspired me to learn math. Now I am in college studying computer science and I have regained one of my childhood dreams: to be a scientist working for the good of society. I am studying mathematics at the university and I set my mind to pass without the need of private teachers, just following two tips from you: just put your butt in the chair and study in group every time you can, everything is going well, on Friday I have an exam and I feel I will get a 10 (a+). I am also doing meditation, yoga and running every day for half an hour, your tips are applicable in all areas of life. Want to be better? Just work hard in every aspect of your life. Greetings from Argentina, very grateful. Andy
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  614. When I was younger, I gave up because I thought I wasn’t smart enough. Now I know that, for the most part, mathematics is based on simple and logical building blocks. Often when we struggle with math, it is because teachers or textbooks skip some crucial steps.
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  615. honestly, id love this teacher. assuming he actually knows the stuff his class seems like its focused on being a resource for you to learn what you want, rather than systematically covering and memorizing things
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  616. Math: if you had this, it'd do that. Physics: we have these, they do that. Engineer: I want this, to do that.
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  617. "Slow success builds character. Quick success builds ego"
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  618. I'm relieved to know doing 5-10 problems a day is enough! I like the suggestion not to use a timer from a phone or computer. Calls, text, and the internet are distracting. Being very fast is not as important as not slowing down, and I think following this advice will help us avoid slowing down. Thanks Math Sorcerer!
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  619. I am one of those folks, who firmly believe if you want to be good at something. You have to spend what may seem like an unreasonable amount of time on it.
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  620. Not only math this applies to almost everything
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  621. If you just want to be a good software engineer then computer science degree is likely right for you but let's say you want to go further in Computer Science example AI, Computer Architecture, neural network, or your goal is to be an AI researcher then Math is really the importance thing you need to know because all of those rely heavily on Math. It's good to do both but I would suggest go to Computer Science degree and at the same time keep practicing on math like Calculus, linear algebra, Probability, and Statistic and all of these topic will be covered in your first year in Computer Science and remember to keep practicing it because you will need in the furture.
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  622. For you Lang fans, note that "Undergraduate Algebra", 3rd edition (1987), was previously published as "Algebraic Structures"(1967). When Lang switched publishers to Springer-Verlag they republished some of his books under different titles. I'm working on a list, will post when I get it all deciphered.
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  623. Bro stereotyped himself.
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  624. who else has an engineering maths exam tomorrow lmfao
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  625. I have that book. Donovan was a guest lecturer at my school. He was on the IBM OS360 development team. His lectures were very entertaining.
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  626. I have a PhD in Computer Science, and believe that the best book for maths for computer science is Concrete Mathematics, by Knuth et al.
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  627. In engineering school we embrace the hell out of our calculators. I've had a number of exams that could not be completed on time with manual calculation. They allow us to perform much more complicated work that can reasonably be done manually. My higher math courses embraced this philosophy as well. If you've passed calc 1-3 you have shown you know the underlying maths, the calculator is for advanced application. That said, it's a tool like any other. You have to know what your tool does to use it properly. Another facet is, at work (I do stress and reliability testing for a semiconductor manufacturer) we never trust manual calculations. Any manual work must be checked by a machine. You can take my Ti-89 from my cold dead hands.
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  628. Imaging all the gains that can still be had on your way up to the unrealistic goal
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  629. I couldn't have expected something more accurate than this. Lol
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  630. I was feeling bad with myself because of this today. This video came at the best time. Thank you.
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  631. I'm a 55-year-old autistic male living on Social Security with a general AS degree from Grossmont Community College with a near-negligible work history--and I have my very own math library loaded with books at many levels of the different branches of math!! 😉
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  632. the scanning of all work in such a limited amount of time is perhaps the most stressful thing i've ever done
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  633. This guy even looks like a sorcerer
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  634. I really needed to hear this. It’s something I’m currently struggling with in my classes. Thank you so much for making this.
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  635. The book by W W Bell is also an excellent reference on tue topic special functions nearly all of these functions generally arise out of a study of well-known differential equations from physics
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  636. For you this may have been a humorous story, unfortunately for me it was a memory. I was the kid seeking guidance from the knowledgeable advisor. Only to be the subject of his ridicule. That crushed my confidence. I am just acquiring the backbone to try it on my own...forty years later. That's too harsh a penalty to pay for a mentor's hubris!
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  637. It's almost 2020, I feel I'm the only one still painstakingly reading through this book, I have spent one and a half year on this book and now at chapter 19 page 389(4th edition). I dropped my high school 18 years ago, so, just as Mr. Spivak said in the preface, this book is my first real encounter with mathematics. I never am a good student, but what I feel from reading it is although calculus/math is said as some of the most difficult things, it is also unable to not understand, when a good written proof come in your sight it will brutally expel doubts and firmly hold their place in your head, then everything around it should be align with it. So if the book is not rigorous and asking for rigorous, people like me with such weak math background won't even went this far. But I'm not a successful reader or even an OK one, the problems behind each chapter has taken too much time. Most of time it is a small misunderstanding impede me for hours even days, some times because I read too slow, the memory of previous chapters becomes thin. Even though, I still feel less weak after each chapter. If anyone is reading this book now, and want to do it's excise together, we may help each other.
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  638. And a word from today's sponsor : WolframAlpha.. a discount code for PRO would be cool too. ;)
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  639. I went to a school without grades as a youngster. It was dope. My teacher let me explore math independently, and I just had to show that I knew the material. Now as an adult, I enjoy studying math independently via Khanacad and MIT OCW. I think it helped that I never had it shoved down my throat.
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  640. It is great to have solutions (and proofs) for all the exercises, but as a separate book. Also it is a great idea to have hints (lots of hints) at the end of the book
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  641. He doesn't need time stone to calculate all 14 millions possibilities in which Avengers will end up fighting with thanos.. 😁
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  642. The struggle is fun, That temptation when you are trying to solve, that feeling when you try to draw logical conclusion from what seems to be counterintuitive, and that satisfaction when you have that "Aha" moment. That's what I LOVE about mathematics
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  643. As a non math person, I find this man's passion for his subject inspiring.
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  644. Whenever I feel this way I try to remind myself that learning is a struggle; that wrestling with the concepts is what actually makes you understand them. I don't know if I'm gonna be able to finish my degree, but I just keep going.
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  645. 0:25 let's change the order of integration doesn't change the order of integration
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  646. I don’t believe in technology until I can smell books off youtube 😅. Great review thanks.
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  647. Fun fact : Everyone found the MS channel randomly but started watching regularly!!!
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  648. I remember when you said "if you want to better at maths, just practice one problem a day." Well here I am two months later and my maths practice has become a habit! Hope to learn higher maths and physics one day.
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  649. I just had an assignment due today, containing this exact problem. This is a very clear way of explaining it!
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  650. Real Analysis wrecked me during undergraduate years. All of that was mostly because the teachers usually skipped "Logic and Techniques of Proof" saying that it's not important for exams. I had to sit through the entirety of techniques of proof by myself. It took me a year (after I passed my exams) to fully understand what was going on. If you understand the techniques of proof, you have the power to understand anything in math. Real Analysis is not an exception. As far as what are we supposed to learn, it's mostly how to write proofs and why certain things work. Knowing how to work with math isn't always sufficient. It's necessary to know why they work, if you are a math major and want to become a mathematician.
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  651. "C's get degrees."
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  652. I enjoy this sort of "proof" and seeing how quickly I can spot the flaw. It's like watching a magician who secretly wants you to figure out the trick.
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  653. Time on the toilet well spent
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  654. The spiritual sequel to this book, imo, is "Vector Calculus, Linear Algebra, and Differential Forms: A Unified Approach" by John Hubbard for Multivariable Calculus but also go for "Linear Algebra: Done Right" by Sheldon Axler. Definitely my three favourite math textbooks.
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  655. I'm 28 and I'm learning pre-algebra.
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  656. “All of humanity's problems, stem from man's inability to sit quietly in a room alone.” - Blaise Pascal
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  657. I personally had a teacher in high school that would allow test corrections.. not every test but every now and then when the classes scores were lower than expected. The teacher would set aside a class to solve each question on the test in the lecture and reissue a new test the next day. It was actually pretty effective for my class but I can see why it's not popular with many teachers.
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  658. I self study not only for the sake of learning, also for enjoyment. Through self-studying, one learns self-reliance and learns to use own initiative.
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  659. Working out really helps in a lot of different areas of life.
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  660. Absolutely. As far as getting a math bachelors, though, you can get that through pure hard work. For further beyond, however, that requires a spark of quick creative thinking, plus a bunch of hard work. To be the best in a field requires incredible intelligence and incredibly hard work. The same goes for a lot of STEM areas: hard work is not enough to reach the top, but it is completely necessary to be even a modicum above average.
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  661. "In fact, I have a friend who studied calculus in the 40s" That was very funny
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  662. Anyone coming in and saying "which language should I learn?" and talking about them as if you only learn one... That person has never worked in industry. Anyone coming in and saying "just learn javascript, you'll never need anything else" or similar... they have limited work experience. One or two well paying employers. Anyone who's worked in the industry for 10-20 years, anyone who's worked on legacy systems (banking, civil service, medical, etc)... you work in whatever language is infront of you, without proper training, and you learn something from each of them. There's a lot of money to be made from reverse engineering and maintaining old systems, and there's a lot of fun to be had in applying old concepts to new environments.
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  663. Correct! we need time and focus to learn math more than other subjects. Because we can't remember math, we need to go deep into the concept...
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  664. Physics sequence 1) Resnick halladay OR Hans ohanion Pre requisite : single variable calculus & Multivariable calculus 2) Kleppner and kolenkove ( mechanics problems) 3) Goldstein mechanics ( classical mechanics) 4) electrodynamics ( David j Griffith) 5) JD Jackson 6) quantum mechanics ( DJ Griffith, jj sakurai , Shankar) Prerequisites : linear algebra 7) statistical mechanics & Thermodynamics ( r reif, pathria) ............. There are alot of books bt above are very famous and main core of physics
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  665. I've a 5th edition of the book. It has answers to almost all of the problems. I think they start to offer only answers to odd(or even) problems in the 6th or 7th editions. If you self-study calculus, get a copy of the 5th or earlier edition to get all of the answers. The 5th edition was printed in two colors. It was a gem. Put a copy on your bookshelf for handy reference.
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  666. Tibees said that if you’re not getting good grades, you need a better friend group. It’s amazing how much we’re subconsciously influenced by our environment.
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  667. Totally agree with you. My son is currently learning Calculus on his own. I have purchased over 10 books to support his studies. On the other hand, when I was learning Calculus, I taught myself using an HBJ Calculus book that I borrowed from the library. I was able to pass the AP BC Calculus test. I think self-discipline is the key to learning Calculus.
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  668. Not only my mind. It changed my life.
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  669. The internship thing is so true, especially in this economy. If you don’t get internships finding a job after graduating going to be a big challenge in most cases.
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  670. Calculus 1: Algebruuuuuuuh Calculus 2: TrigonomeREEEE and seRIEEEEEEEES Calculus 3: I am 3D, therefore Calc. 3 EZ, yes? WRO00ONG
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  671. Here is what I learnt: Effort does not equal intensity. What happens is that you lose a lot of intensity when studying for a prolonged time. What you have to aim for is having multiple very very focused sessions with the aim to get the intensity of your study as close to 100 percent as possible. As soon as you feel your mental deteriorate you take a break until you are able to give 100 percent again. Interestingly enough that not only goes for studying math but really practicing any skill in life.
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  672. i think honestly its just the environment, one year i had a great teacher and great colleagues, and i got top scores in math the next year i had a horrible abusive teacher, and i really suffered.
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  673. losing my mind at the fact that she looks like leibniz in that one portrait this was really funny
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  674. Don't forget to subtract the cost of each trade when calculating E(x). You pay a transaction fee when you buy the stock and again when you sell. Also, "when 5 day SMA crosses 20 day SMA" should be "when 5 day SMA drops below the 20 day SMA" (unless you're shorting).
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  675. 1. Talk to people who have already attended, or even better, aced at those exams. There are several tricks and tips that are key to success. Not everyone would be forthcoming with their techniques, so be prepared for rejection. Keep trying. 2. If you are really serious, find a good private tutor who can help you. 3. Start the preparation as early as possible. At least 6 months before the exam and much more if possible. 4. Find a motivation, a story, on why you would like to compete and excel in the competition. What would that mean to you. 5. Physical fitness is also important and often underestimated. A brisk walk in the morning is sufficient. 6. Try not to study with others who intend to appear in the same competition.
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  676. Wizard, I’m happy to say that my classes are going swimmingly. Let’s keep up the motivation and stay ahead.
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  677. i feel like a god when i understand a math topic until i forget it after a month
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  678. Wow. I almost didn't recognize you because of the hair. I took an algebra class with you many years ago and now I find myself back here finishing my last differential equations course before completing my CS degree. Still to this day the best professor I've had.
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  679. Math Sorcerer the White, after he defeated Balrog.
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  680. My school principal recommended me that book for learning calculus, it’s insanely good, you should definitely get the 7th edition, that’s the coolest one, they got art work as a cover, and the whole book is really clean. Check it out.
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  681. wow i never knew absolute value of x is equal to the square root of the square of x ... thanks once again math wizard
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  682. After graduating from the University of Liverpool with a degree in Computer Science it occured to me that I had never read a page of this book despite the fact it is considered the bible of the C programming language and the language itself is arguarbly the bridge between assembly and high-level languages such as C++, Java Python ect. I found a dusty first edition copy in the archived, still held together by cellotape, and read it front to back in a single day. Amazing book - if you can find the time to read it you will not regret! P.S. such a fan of your channel and Udemy course on Group Theory!
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  683. Wait what SORCERER
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  684. I've got that book (BOTH volumes of it) in my collection of historically significant mathematical works here at home. I bought it online from a book dealer in India--from whence Ramanujan came and he's one of my all-time math heroes from history!! 🙂 Thank you, MS, for discussing it on your channel, MS!! ❤
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  685. As a grad student i struggle so much with feeling inferior to my peers and feeling lost in the endless sea of mathematics, sometimes it's quite scary to think about how no matter how much I've already studied it all pales in comparison to how much is left, it's easy to fall into despair and feel a sense of futility when confronted with such vast breadth of knowledge and people much more talented than yourself, however i always remind myself that it's ok not to be the best and not knowing everything, the reason why i study mathematics is because i love its beauty and the satisfaction i feel after understanding something difficult, so long as you look inward to what makes you love your field of study instead of looking outward to compare yourself to others you won't lose track of your motivation. Math is hard and challenging, but it's beauty is worth the hardship.
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  686. The atmosphere is so nice! Everybody wants to learn and questions are welcome...I'm more used to teachers making the students feel really dumb, not explaining stuff twice...or even once properly x) So nice class, really enjoyable
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  687. Thanks Jeff Bezos
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  688. Once the math sorcerer mean-maxs his muscle functions, his powers will have to be checked for the sake of public safety...
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  689. Take my advice and just do something easy and/or minimal if you're having a bad day for motivation. Getting going for a few minutes, even if it's just reviewing what you've already learned, will get the juices flowing and put you in he mood for more.
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  690. Forgot "Yes it really is as complicated at looks." Also he looks and sounds like 87% of all math professors in America.
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  691. I'm 41 and I am currently in my 2nd year studying computer science as an undergrad. It is difficult, because I see all these younger colleagues of mine perform so well with minimal effort while I have to pour in so many hours just to stay a bit ahead of the mean curve. It's impossible not to compare myself to them, but I do try to keep my eyes on the prize and look ahead. Thank you for the video.
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  692. Whenever I watch you, I pretend that I am taking wisdom from Isaac Newton.
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  693. At 40 hours a day, I expect to be a fine violinist. For Calculus, at 60 minutes daily, I fear not living long enough...
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  694. I remember seeing one of your videos before about how you can learn mathematics from start to finish, and just as I wanted to search for it I saw this video in my recommended! Thank you very much for this!
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  695. The secret is videogame mentality: find the optimal level of challenge for you so that you can frequently cycle between (1) what you've already learned, (2) what you're currently trying to perfect and master, and (3) what's still new and challenging for you. This way, you can have so much fun that you're hardly even phased by all the little failures and mistakes you make as you learn from them and make progress. You'll end up putting in so much time, attention and effort that you might not even realize how much hard work you're actually doing.
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  696. When you find out you're good at math: "Sometimes my genius is...it's almost frightening."
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  697. That was extremely irritating.
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  698. I read the title as, “Learn Calculus With Depression”
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  699. Keep in mind that 70% of the US Stock Market is traded automatically by algorithmic directed computers. Humans are not making trading decisions as occurred when Murphy wrote his book in 1999. Murphy's identification of a psychological aspect to trading decisions may have less weight than it did historically. Conversely, the psychological component is well recognized in macroeconomics. Nevertheless, I think it's a good trading book and useful knowledge to have.
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  700. My guy is clickbaiting with that shredded chest 🔥🔥🔥
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  701. The worst part is a good portion of the time you bring up studying math people respond by proudly stating how much they dislike what you do while also having very little actual idea of what you do.
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  702. "You do not know anything until you have practiced." --Richard Feynman
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  703. I litteraly could've learned mathematics well if it wasn't for school! I get that some people like school and that's great , but it's not for everyone! I find myself learning many new things and enjoying it outside of the school system! I feel like school didn't do anything for me that benefits in my life today ! Altough i wouldn't say it was a waste of time
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  704. Have you considered that you are comparing students that are in their originary country (the US) and students that have gone to the US from other countries? Probably in some cases (if not most of the cases you've seen) the access to those US universities was granted due to their merit and excellence in the first place. Of course it could also be (and probably is to some degree) because of cultural and educational differences, but I think that this reason should also be taken into account.
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  705. What about engineering makes it harder than physics? Physics requires both math and physics too. I think engineering requires more work in general because in addition to taking physics and math, engineer majors need to also take engineering classes, and their homework load is probably more than physics or math majors -- simply because they apply physics and math to real life. However, I think conceptually and theoretically, physics and math are much harder.
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  706. "ITS VERY HARD!!!!" me sitting here with my 70% in high school lol
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  707. I usually fail my first exams and then get Bs and As on the following ones 😂
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  708. I have the original 1966 version of this book, and it is already an 8th edition. And it is a real pocketbook - just 11 by 17 cm (and 4.5 cm thick), or about 4"x7"x2" it is really more a quick reference guide.
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  709. Thank you for continuing to produce these videos! You are an inspiration to many, myself included.
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  710. I wish the YouTube Physics community had someone like you. You're truly a gem!
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  711. This hit home. I've thought about this myself so much. Thank you for not making me feel alone.
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  712. How to get better at math? Snort your textbooks.
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  713. I know it is really hard to accept such advice when someone is in a deep depression state. What helps me get out of that state is to think that it's a rest stop. What this means is that I take a rest. It's a sign for me to take a break and just do something that relaxes me, and I have found this to be very effective. Second, never ever compare yourself to anyone else. Only look up to them as inspiration but do not compare. Your biggest rival is yourself. Reflect where you were last year and where you are now. Go back and look at those things that you've accomplished. These small things really have a huge impact on keeping you moving forward. I hope this helps someone.
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  714. What a great start to my day in doing Mathematics! I was doing C++ coding a few minutes ago, just about to have some sleep. It's night in India now. You know sir, you have really become my real online prof who keeps on motivating hundreds and thousands of Mathematics enthusiastic students, including me!
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  715. As I've come to see it now, Math itself doesn't have to be hard. It's just hard in general to do any great thing like Math because it requires a lot of work, and it's simply hard to do a lot of work. And then it's also hard to communicate the product of all of that work, especially if you're trying to distill it for an audience that doesn't have enough experience or familiarity with all of that work. But all that being said, it's toxic if successful people don't acknowledge how hard they had to work, how often they've had to learn from failure, how often they still make mistakes, how fallible they still are, and how many other people deserve credit for their development and progress. A lot of elitism boils down to that. Some people are only able to devote so much time and effort to math because, for various reasons, they're social outcasts who don't get as distracted by people. Elitism can occur if they interpret their success as a way of paying back any real or perceived unfairness they experienced from others. Mathematical maturity is also very powerful, and I'm sure there are ruling class interests that don't want to make it easy for the masses to match or surpass them in this regard. So that's likely a component to elitism, too.
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  716. e in calculus is when you fail the test so badly that f isn't a low enough grade.
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  717. The Math Sorcerer ❌ The Self-Help Sorcerer ✅
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  718. I strongly recommend the book "How to Prove it" to beginners in their transition to rigorous mathematics.
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  719. "I just love when the textbook tells me the proof is left to the reader. More fun exercises for me to try!" "Oh man, I just love integration by parts." "No formula sheet? The test must not be too hard then since they expect you to memorize all of them."
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  720. I really love how you provide formulas unlike other teacher who just simply teach teach directly
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  721. I discovered you due to your Spanish channel, as I'm from Spain. I really appreciate your effort, because I'm a student of the first year of the equivalent to bachelor degree with major in mathematics and minor in statistics and I'm struggling to study on my own on my home. I have discovered that books are a really enjoyable and efficient way of learning, thing I didn't even consider during secondary school. Thank you so much!!!
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  722. I believe in her, she can make it!!!!
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  723. Doing the homework is huge. I'd say 75% of my test questions were pulled from the homework.
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  724. Me: Listens to Eminem while studying Me on the test: e^(i*pi) = moms spagetti
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  725. This is the best self improvement channel. Every other one focuses only focus productivity and fitness and yadda yadda yadda, but this one also focuses on nourishing the soul with studying mathematics regularly.
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  726. Years ago, I gave up computer science after failing Calc 1 three times in a row. Now I'm almost finishing my math major and I'm pursuing a masters degree.
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  727. Complex analysis, differential equations, and linear algebra are the most important topics in EE. Try to work up to these topics. The Laplace transform is the most important topic. Keep studying math Andrew! It will be super important as an electrical engineer.
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  728. I know this sounds weird, but I actually think the real reason most people aren't good at trig is because their geometry is lacking. But a lot of geometry books wouldn't go into further explanations of irregular polygons, infinite series, and roulettes. And I feel those things really helped me understand trig, at least conceptually. Trigonometry is like a more mechanical geometry to me if that makes sense. When I started asking: What curves can I get from rolling shapes, what can I get by breaking other shapes apart at different angles, and what can I get from the intersection of shapes. This is what helped me.
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  729. Came for the maths, stayed for wisdom 🔥
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  730. Bro even got that angelic aura, must be a gold saint.
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  731. i was like “this looks really familiar” and i realized that i’m using the 4th edition in my class 😆
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  732. Yeah, I've learned not to fight the idea that I need to do some review. If I'm blocked for more than a few seconds, I get up and get the old book and flip to the section and go through the examples. the more you review, the less you need to review.
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  733. As long as you ain’t dead, you’re alive! Do something about it, eh? Love it.
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  734. It actually strikes me as odd that not one student could get this, even first semester calc students. I started Calculus my junior year in High School and this problem would've been very straightforward to me even early on in the year. To be fair, our teacher was quite excellent.
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  735. My favorite memory of my 80 + y/o retired civil engineer mentor is when he gave me one of his old applied math textbooks and said that the formulas for traveling to space are in the book. Dubious (though I now know better upon further reflection) I asked him if math gives us the power to travel to space. I will never forget the mirthful grin on his face and he said, "well, yes." He had a lot of pride in his response. Throughout his career he used his knowledge to help address actual real world societal projects. Though I don't wish to follow the same career that he chose, I am happy to share the same love of mathematics as he does.
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  736. Discipline is key as well
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  737. The biggest enemy for me is time, I feel like I'm an slow learner and the amount of material I have to study exceed what I can do, I think I've lost this year of university already by failing the exams because I couldn't get confident enough with the practice neither the theory to really pass the exams, I think I can do it but it will take alot of effort and probably improving my study skills
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  738. I have Stewart (5E), Spivak, and Buck. All excellent books...part of my collection of several hundred mathematics books. Rushing toward age 70, but doing mathematics daily and teaching it to others is still part of my life.
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  739. lol 1000% don't stress about it. I actually rushed into college and ended up hating what i was pursuing. I took so many classes for pre-medical and when i shadowed doctors and worked in the healthcare setting it was not for me, and i found i always enjoyed the maths and sciences in college. I didn't go back until 27 years old and guess what, i'm actually pursuing something im genuinely interested now that i've matured and had time to understand my interests. it's simply different for everyone, i think as you continue to age you will grow to understand how superficial this issue is in retrospect. just do you and build yourself in a way that makes you happy
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  740. Learning Mathematics or Physics takes lots of perseverance not because of complex formulas but because of why those formulas exist and reasons behind them.
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  741. the book which has made people switch careers🥶🥶🥶
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  742. As a 63 year old I am just now finally understanding Algebra. I have tried many times with many books and vids. I have always failed before, but, I never thought I was just too stupid or anything like that. I have always felt it was the teacher. That it just wasn't being explained properly. That's why I never gave up. I always knew that I would find the right teacher, and I did, right here on You Tube . Michael Van Biezen. I have learned more Algebra in the last six months than I have in my entire life before now. Never give up! It's not you. You are not stupid. Keep looking for a teacher, book, or videos that you connect with. There are more free resources now than there have ever been. Algebra and Calculus are superpowers.
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  743. A speedrun is where you do ALL THE EXERCISES as fast as possible.
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  744. “Math Sorcerer the Grey…? Yes… That is what they used to call me. I am Math Sorcerer the White! And I come to you now, at the turn of the tide.”
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  745. Ramanujan was such a rock star legendary mathematician. The way he saw mathematics was as if he could see the Matrix (pun very much intended!😁). It's such a tragic story about his life being cut so short. Imagine what he could have achieved if he had lived to old age.
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  746. That’s a crazy thumbnail😂
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  747. Mathematician and philisopher at the same time. Such a valuable video and channel.
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  748. Jeff bezos in a parallel universe
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  749. Thanks for expanding my math knowledge. I am only lvl 2 mage
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  750. About failure, my experience is that it is never a failure, but a success in development. I would also say that people who went deep into studying maths, physics, natural science in general also get really good at breaking really complex concepts in small pieces and build up to a simple concise reasoning... That is a strong skill that makes you better in every other area. Seeing the big picture while also seeing through things to its core
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  751. Calc III is definitely the hardest, no question about that. Thinking about multivariable functions, parametrization, constrained optimization, setting up double/triple integrals, all the vector Calc theorems... no doubt Calc III is the hardest. But I can see why people say Calc II is the hardest. In Calc I, you are given specific algorithms that never deviate (product rule, chain rule...) and you think about everything in 2 dimensions. When you get to Calc II though, there is no obvious way to evaluate an integral so you have to try U-sub, then parts, then trig, then hyperbolic or weirstrass... it’s just a lot more steps. Plus, I agree, the washer and disk methods are hard to wrap your head around the and infinite series is a struggle also.
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  752. If you think you can, or you think you can't, you're right.
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  753. A student spends almost 70% of the time sleeping on an online class. 😂😂😂
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  754. This is just the perfect book to achieve the "mathematical happiness" Math Sorcerer talked the other day. Just pick a random page and start reading. It really helps to see the forest behind the trees
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  755. I have found that a lot of time when I am working on a problem and stop making progress after an hour or two it's better to take a break and come back to it. Otherwise you spend extra time stuck in the same thought process over and over again. Sometimes coming back to it later brings just the new perspective you need to finish or to get further towards where you want to end up.
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  756. His passion shines through - very inspiring dude
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  757. Good answer. But, as I've said before, a great professor makes a world of difference. I'm a firm believer that math isn't hard it's just taught wrong.
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  758. The whole "you can figure it all out on your own time" hit harder than it should. I had some teachers that relied H E A V I L Y on that function :D
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  759. I used this book when I took Calc 1. It's wonderful and really helped improve my math skills. His workbooks in physics are also great. It helps with how specific he is, especially with little things that professors may not go over.
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  760. I’ve never taken Calculus in my life. But I’m working through College Algebra, Trig, and Pre-Cal. I’m retired and having nothing but time. I’ve decided to devote my free time to mathematics.
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  761. In my opinion this book is not very good at explaining things to someone being introduced to Calculus for the first time, but it does have really good exercises to help you master the skills. I use this book for my Calculus course and the exercises are great, but I usually find myself having to go elsewhere for explanations.
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  762. Mechanical Engineering has entered the group chat👀
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  763. "Stop wasting time!" - excellent advice.
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  764. I'm a Professional Land Surveyor and I had to do quite a bit of Spherical trig during my training. It can come up from time to time on very large projects!
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  765. I am a physicist so mathematics is my language. Like learning any language, it can be difficult at first and you have to stick with it. This I can confidently state: Mathematical intuition can only be developed through practice.
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  766. I struggled with math all throughout high school (getting D's and F's) in my freshman/sophomore/junior year. This year I took it upon myself to learn math and I gotta say, it's one of the most fulfilling things to "beat" when you are able to do calculus after struggling with algebra for years. I'm currently in the 2nd hardest calculus class in my school and doing much better. PS your videos motivated me a lot and I can proudly say that I like math a lot right now. Thank you math sorcerer!!!!
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  767. There is a book with exercises for all of three books. The book is called “Exercises for the Feynman Lectures on physics”, and it has answers to, if not all, then almost all the exercises.☺️
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  768. If you are from Latin America, you know what Baldor's algebra book means for us! 👨🏻‍🏫📖🌎
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  769. Another idea or two: 1. Make up your own homework problems. I got this idea from a book I read (sorry, I forget which one) and it makes a lot of sense. To make your own problem, instead of finding the answer to someone else's problem, forces you to "work backwards" in a sense, which helps deepen your understanding of what's going on. That's the theory anyway. I'm going to be trying this out in the days and weeks to come. 2. Write a math book. OK, OK... not in the sense of something you would expect to publish, or even show anybody. I just mean, take your notes, and rewrite them as though you were writing a book somebody else was going to use to learn from. See also: make up your own problems. This is just another way to force your mind to think about things from a different perspective, and force you to make sure you really understand. As the old saying goes "you don't really understand a topic until you've taught it." 3. Get problems from other books besides your textbook. For basically any math topic (especially undergrad stuff) there are books out there with titles like "1001 Solved Problems in X" where X can be Algebra, Calculus, Linear Algebra, Analysis, whatever. Hit up Amazon.com or Barnes & Noble and you should be able to find plenty of sources for additional problems. 4. Related to (3) above, if you Google around you can find class websites from where your class / topic has been taught at various institutions. Many of those will post old exams and old homework assignments (sometimes with solutions, sometimes not). In either case, if you want more problems, or maybe slightly different problems from what is in your book, or what your teacher made up, this is an easy way to get problems to work on. 5. I feel like there should be a 5, but I really can't think of anything else. Uhhhh... "try hard"? I dunno.
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  770. Whenever I got stuck on a math problem and felt like I'm stupid, I always remember a quote by Albert Einstein, "It's not that I'm so smart, it's just that I stay with problems longer."
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  771. If you are reading this, you aren't studying enough
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  772. I’ve gotten really into self studying nowadays, and i feel like you motivated me to do that. Watching math books is satisfying in a way.
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  773. Triple major... math, physics and chemistry. That's the most impressive thing I've heard
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  774. Hey Mike! 50 year old here studying math at a 4 year college. Don't worry about fitting in, I have a blast in my class....most of the kids are pretty shy and don't interact much with the professor, so the instructors really seem to like having me around. I think they like to know someone is awake and paying attention:). Math is HARD no doubt, bit if you really want to learn you can find enjoyment in the process of studying and completing problem sets (even though when you get stuck is can be frustrating). I do a heck a lot of googling getting ideas on how to complete proofs, etc... you don't have to figure it all out yourself!
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  775. I love when my statistics teacher is only reading whats on the slides and gets confused by them himself
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  776. My professor said it best. “You can look at theorems and definitions all you want, but you won’t understand or know what’s going on until you get your hands dirty and create examples.” I am a firm believer in examples over theory because I come up with examples myself to understand what a theorem is saying
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  777. An engineering degree requires you to be disciplined and to study math and other hard subjects in science. Once you graduate, the real work in industry begins, and you have to meet industry standards and be responsible for things that can hurt people. So very scary some times. Lots of tight deadlines and a lack of hours to do all the work. Prepare yourself for a stressful job!
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  778. The David Goggins of mathematics
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  779. As someone who aced calc 1, took calc 2 4 times, and aced calc 3 I’d say calc 2 is the hardest because of how many concepts are in it that have nothing to do with each other. As you said disk and shell is just something brand new not been done before. My favorite part about math is how concepts build on each other to become more and more advanced.
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  780. Totally agree! I failed Maths throughout Highschool, I hated it, I did not see any point in learning it - until I decided to study Engineering in University. Suddenly, I saw that soo many things could be done with simple maths! I still failed once or twice, but I least I did not feel repulsive by seeing numbers anymore hahaha
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  781. Do ANY other activity, your brain will think about the math content in the background. Working that many hours on only one activity will provide diminishing returns.
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  782. To the original questioner: Math is a language, talk Math to your colleagues, teach them what you learned, fail often, go through over 100 problems each topic, for example convergence of series, look at worked out solutions. If you have 2 mins pick up a theorem and try to understand it. It's a journey, there is no destination, if you enjoy it. Otherwise you maybe doing Math for grades or to prove yourself to be smart to your friends or family - those sorts of motivation may not last. Hope this helps
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  783. I think the anonymous person should just focus on himself, rather than worrying about how far his other friends are. I have felt this before, but it usually helps to compare myself with myself instead of other people. And switch out methods and habits untill I reach my goals.
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  784. I advise everyone to obtain a copy of “How to become a straight a student” by Cal Newport which introduced me to the difference between work and pseudo-work. Work is where your entire mind is totally focused on what you’re working on; pseudo work is where you are working, but have other things on your mind and other distractions at hand, spending your energy griping about how you’re not productive.
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  785. Be so Busy with Loving Mathematics that you don't get to compare yourself.
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  786. books that are patient with the reader make me literally tear up and it shouldn't be like that Math writers or teachers that still remember what it was to be clueless about stuff are worth 50x more than the biggest expert in the topic
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  787. “The only way to learn mathematics is doing mathematics” That quote lives rent-free in my mind.
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  788. Me, an electrical engineer: Jay ate some pie? Good for him.
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  789. "You will never fail until you stop trying" - Albert Einstein I think this quote makes for a nice perspective on things.
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  790. Wow was literally going through several videos before this on how to learn maths methodically and this just dropped today
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  791. That is the most focused bird I have ever seen. Stay focused, birdie.
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  792. I grew up learning math and physics from soviet union books. MIR publisher is pretty much part of my childhood. I recommend any math and physics book from them.
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  793. I love your energy when teaching math. We need more professors like you !!!
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  794. Remember: speed is important but hastiness only leads to mistakes. You should improve your base operational pace and not your rush speed. Ideally, you should also learn to adjust your speed according to the time constraints and problem difficulty, without going overboard on either side. Regardless of your speed, you should be able to think clear and without shortcuts (doesn't mean using shortcuts—mentally or otherwise—is bad, just that you should at the very least be able to clearly grasp what you are cutting short so you don't end up jumping over necessary steps).
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  795. That hat is POPPIN!
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  796. You are one of the few sources of encouragement in my life.
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  797. Started this channel in my associates degree in computer science, struggling with calculus. Graduated with that degree now I'm getting my Math BS. Just finished Bridge to Abstract Mathematics and moving on to Analysis next semester. Thanks for the support
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  798. I'm 23 y.o., having come from a bad high school we had almost zero math and zero physics (just random problems and equations), for a lot of years I disliked math, but given that I want to become a Game Developer I stumbled upon maths again, curious how I left programming for now and fell in love with math. Right now I'm preparing to go into public college to get a Bachelor in Mathematics, a small step but a step nonetheless. Since my high school was also a public school I have my doubts but I'm taking this opportunity even if it's standards are unstable. I'm halfway to finish the Precalculus course, with a book to go through it again, just to be ready for the admission test and avoid lagging behind too much. Maths has been always a fascinating language, it amazes me, to see the equations and how they relate with the world in every single way. Right now, there is still a lot that I don't understand and it is like magic to see a calculus equation be solved in minutes but it excites me to think one day I might solve them too. 4 months ago I was oblivious of polar form or trigonometric functions, even word problems, now I understand them or at least I can work with them. I know this comment is unrelated to the great advice that you are giving and I'm sure will make my journey more bearable, but is this channel among many others that are pushing me to the boundaries of my knowledge. Thank you very much!
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  799. I think one major factor is also attitude towards math. Having a positive one will change how you approach math in general.
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  800. As a russian I would recommend P S Aleksandrov’s book for algebra and analytic geometry, but i think there is no translation into english. This book was written in the 20th century, my book at least was in 1968… maybe it has older versions too.
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  801. It's great to have someone explain this especially when one is going through a low, thanks a lot for posting this!
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  802. I remember the first time I looked at a really hard math book. I found some Dover book called "Advanced Calculus" at a thrift store and brought it home. I had finished a couple of semesters of calculus at the time and figured I could easily augment what I knew. When I opened the book and looked at the first page, I didn't know what was going on. There were all kinds of unfamiliar symbols on the page and the the first sentence was something like "A sigma-algebra has the following properties..." I have a PhD now but would still have a hard time with that book I am sure. :)
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  803. It all comes down to pattern recognition. Personally, I practice math problems until I notice a pattern and from that moment on it gets intuitive.
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  804. This is the kind of content I pay my internet bill for
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  805. It's silly, but I would add: Don't study drowsy.
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  806. I find that just starting to identify yourself as a mathematician unironically makes you better at mathematics. Putting your ego behind your actions really makes you strive to be better. Also why on earth do all of us go through the "I'm a mathematician and I dirty my walls with equations" phase? Is it a developmental phase during the maturation of a mathematician? Is it mathematical puberty?
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  807. Great to see the Math Sorcerer looking jacked and lean while sharing his math knowledge!
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  808. For those who know Russian, there is a legendary book of math exercises, written in 50s by Skanavi and his team of Russian mathematicians. It remains essentially unsurpassed even until this day. I probably would not be mistaken if I said that all the generations of the best Russian scientists for the past half century used it at some point as the primary resource to practice intermediate math. Unlike most of modern books, it actually has answers to all problems. Not only that, there exist 3(!) companion books (one for each level of difficulty), which are publicly available and contain very detailed solutions to every math problem in that original book. This book is a true legend and will probably remain such for the next 100 years. I forgot to mention that the level of difficulty of those problems makes American SAT problems look like a joke.
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  809. Another great Soviet era text is Landau and Lifshitz's Course of Theoretical Physics, which Landau referred to as the "theoretical minimum". This book is permeated throughout by deep physical insights. I believe this work is well worth a review by an expert.
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  810. This textbook gives me flashbacks of doing applied maths and chemical engineering in the 80s ;) ps. The student/textbook version often only had 'answers' to about 5%-10% of the problems so that students could be assigned Qs that they couldn't look up the answer. If you want all the answers there was often a 'teacher's manual' version of the textbook that provided answers to every exercise Q. Might be hard to find a copy though ;)
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  811. Thanks for this video! I would like to clarify that this book is not Russian, this is SOVIET. Although in the USSR the majority of the population was Russians, the policy of this state was based on internationalism. The forces of Russian, Ukrainian, Belarusian, Tatar, Armenian, Kahakh, etc. people, collectively called SOVIET, were invested in science, education, production and creativity.
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  812. Totally agree at 07:40, where you say that it's good to have many different books. That's exactly what I did during university. For every topic that was studied, I'd go through the corresponding chapter/concept for different books in the library till I found a clear explanation I liked and take notes with a reference to the book. Ended up having notes sourced from many different books, but concepts explained in the clearest way. A library is super useful for this.
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  813. Funnily enough, I got my best grade out of all my math classes in Real Analysis. I will say that the professor was by far the best professor I've had. He really knew how to make the class not just manageable, but actually easy.
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  814. Hmm... I'm getting into computer science and I get the feeling this book would be VEEEEERY useful 🤔🤔🤔
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  815. I always want to do HW, but not knowing what to do usually prevents it from happening. Also, when this happens, as you say, I try to do something else to prevent the frustration of not knowing how to work the problem from creating an insurmountable obstacle. Reminds me that, yeah, I can't do that, but I can do this.
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  816. 1. Find a quiet distraction free location. 2. Get few math books 3. Time limit - 60 minutes a day focused study 4. Be present in the moment 5. Consistency
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  817. Man, this really resonates with me, I'm 14 and I also have autism which means I'm extremely obsessive (almost to the point of it being unhealthy) I absolutely love maths and do it maybe 10-12 hours a day. I concentrate mostly on Olympiad maths as well as some undergraduate maths. Right now I'm intensely interested in set theory. Would you say it's better to just do whatever topics I enjoy and go really deep or to just learn it in a sort of traditional sense by covering all topics but not going so deep?
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  818. Interesting. We did that a lot at school but never applied it in a hypothetical trade. Brings back memories to see this !!
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  819. The more you understand Calculus, the funnier this video become.
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  820. I learned EVERYTHING in 1 hour. And learned nothing for the past 10 hrs in a week of lecture😂😅. Thx daniel👍
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  821. This is exactly how I would like to live, but add also computer science here
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  822. your math videos help me when I'm going thru tough times even for non-math related reasons
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  823. My advice to students in differential calculus is that the quality of practice matters more than the quantity. The rules are deterministic and straightforward, once you know them you can differentiate any expressions involving the standard functions. Doing fewer examples with more intense focus and concentration is better. Along with this, do not hesitate to handwrite large expressions. A common thing that slows students down is this hesitation to write things out, leading to skipping steps and mistakes. Calculus 1 is an extreme handwriting class. It's a good chance to turn your childhood school handwriting into adult handwriting too.
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  824. I suspect a majority of us start appreciating mathematics much later in life. It's a tragedy that the pathway to becoming a mathematician in your 30s, 40s, 50s, etc. is complicated.
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  825. And then there's me, who feels like a beast when I've solved for X
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  826. A good mathematician not only study for himself but motivate others to do good in maths.. thankssssss
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  827. Fact: "if you are the smartest person in the room, you are in the wrong room."
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  828. i feel like i’m on a date with him, the car talk is so intimate.
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  829. Great book. I was having trouble with my abstract algebra and analysis classes back when I was a junior. I took a step back and took a discrete math class with this book. Saved my math career and ended up with a master's degree later. Highly recommended.
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  830. Jeff bezos disliked
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  831. That’s exactly right. My major is Computational math and I always consider myself as a math genius. Even though sometimes I can’t solve some basic integration in exam,but it doesn’t matter. I am a math genius.If I can’t solve this problem, others must can not either😁It really helps me to build a good mindset
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  832. I love this channel. Im an aspiring mathematician and frequently encounter overwhelming self-doubt about my ability. But when you explain something and reassure the audience that you struggled also, it is uplifting to know that it is not just me struggling with seemingly easy concepts. Seriously, thank you so much for this.
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  833. it's a peculiar thing. I used to feel like Im different from those who dread loneliness, who fill their time with others to prevent any moment of self reflection. I think people similar avoid recursive reflection that can come with inner dialogue, as that part of us is churning at a concrete problem. I'm not sure how we experience loneliness, but my gut instinct feels that those who primarily think about things over people, tend to make the most out of solitude. Though, this feature leaves us completely unprepared for the problem of people!
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  834. The Math Sorcerer is like a trusted friend, teaching math and life's essentials. 🧙‍♂📚🌟
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  835. In just 3 minutes, I gained more knowledge than I did in 4 hours of class. Thanks a lot
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  836. I love how your videos always are at the perfect timing for me. I was literally just saying that to myself and needed a little push from someone. Thank you
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  837. Thank you for your advice, I also struggle with reading maths textbooks and I am 52. My main issue is how to take effective notes from a textbook. It is a skill I don’t think I was ever taught or if I was I have forgotten. I have seen loads of videos on taking lecture notes but no textbook notes. I am sure everyone will think I’m daft but I am struggling with a maths degree because I get lost almost copying the entire textbook into my notebook. If you have any advice I would be very grateful. Many thanks Louise Darby
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  838. Awesome book! you might also want to check similar type of books such as 'How Not To Be Wrong' and 'Shape' by Jordan Ellenberg as well as 'Whats the Use' by Ian Stewart. They made math really 'reachable' and interesting because its applications to real world were highlighted and made sense.
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  839. Another problem, looking at math from a teacher's point of view, is the "I already know this stuff" attitude. My first job after my master's was teaching an adjunct College Algebra class at a community college. Most students did well on the first test. Several students came to me with that "I'm bored" look, telling me they already know this stuff and the class is too easy. Second test comes around and mass fails! (No, I didn't make it harder) About half the class dropped. I talked with other instructors and the attitude was, "well that's pretty typical for College Algebra". Couple of points: After you feel pretty confident, leave it for a day or so, then come back and see if you can do the proofs or workout the problems. If you get stuck on a part, then you really didn't learn it. Refresh yourself and go over the material again. Second point. No matter what level the class is, you can always learn something, including someone with a PhD. Even in an 8th grade math class the teacher may come up with a technique you haven't seen before. When I was teaching high school I was constantly learning new tricks and techniques to solve problems from my fellow teachers.
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  840. I just started my sophomore year in engineering school at 27. I appreciate your videos and how they motivate me to do my best in my classes.
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  841. My advice: It depends what you plan to do with math. If you want to become an engineneer you should drop Cal 1, spend the next 4 months on pre-cal math (algebra + trig) and return to Cal 1 with a solid background. You could probably pass Cal 1 now with a minimum of knowledge in pre-cal math but Call 2 will be hopeless. Approach it as a martial arts. You are white belt and you want to fight the blue belts. Work on the fundamental first. It is only my two-cent worth of advice (I have been teaching college level math and physics for nearly 40 years, so I am old school). Good luck anyway in your mathematical journey (and welcome to the club!)
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  842. My office hours are between 1:15 and 1:16 every other Friday the 13th
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  843. Me: I'm a psychology student who have no idea what do today. Youtube: how to learn mathematic.....
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  844. I started university at 25 years old. I am taking a bachelor in physics and hoping to get a PhD within theoretical physics. I felt alot of pressure thinking about how old i will be when I'm done with my education, but honestly I wouldn't change anything As my father told me when I started to feel like I was wasting my life. " A few years delayed is nothing in the grand scheme of things. it's much better spending those years finding something you truly love doing and being happy with the field you work in, then rushing into a job and ending up spending your whole life working a job you dislike feeling like you wasted your life and regretting you never spent more time finding your passion". So to anyone feeling too old to start university or switching jobs, it's never too late. We have an old gentleman at the age of 57 years old studying with us. Just spend time finding out who you are and work hard towards your passion and you will have a beautiful life!
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  845. I think its so cool and inspirational that you never even intended to pursue math, and now your our math sorcerer, and that now you help and inspire us
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  846. Dear mr math sorcerer Im a 15 yr old preparing for JEE. For the past year or so, it's been one of the darkest periods of my life. I have lost motivation and connection with the entire world, let alone my studies. But your videos really help me. There's no sugarcoating and your way of explaining your views is so refreshing Thank you for all these videos
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  847. I thought that was kinda impressive.
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  848. Tell me this man isn’t Jeff Bezos with hair
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  849. I really want to sleep but I have a mountain of work 😊
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  850. The hardest undergrad math class I had was integral calc (calc 2 for me). The teacher loved making complex integrals and really put us through the ringer. This was at a community college as well, so some of my friends had a much easier teacher, which made me jealous when I saw their tests and homework. With that being said, I am so glad I took his class. It made multivar calc easy as hell, and a lot of my upper grad classes much easier (math major) because of how hard he made those integrals. Hands down one of the best math classes I took.
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  851. Was that dude Professor Leonard ? XD
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  852. Instructions: crying during an exam will result in an automatic failure as it is a sign of weakness
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  853. Math Sorcerer, you're definitely a role model for me!
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  854. "I read and understood it" says a lot about how smart you are also...
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  855. bro fell down from heaven and reminds us to stop wasting time 😇🙏. I've transcended.
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  856. According to good old Cicero: "If you have a garden and a library, you have everything you need.” He had a point.
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  857. I hope you will do more interviews with mathematicians like this one with Thomas. It was fun hearing about his mathematical Eureka moment triggered by Rebel, Rebel, his adventures with continued fractions and just his sheer joy immersing himself in mathematics. And thank you for always talking about the reality of the process of becoming a mathematician in your videos. Many mathematicians give the impression that they floated up to the pinnacle of mathematical understanding sitting on a feather due to their innate gifts. But you’ve always been honest about the blood, sweat and tears involved for everyone, as well as the excitement and satisfaction. By the way, your lighting conditions, whether through choice or happenstance, are exquisite. You look ethereal, like Salvator Mundi by Leonardo da Vinci, just without the orb.
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  858. I am a researcher in electrical engineering. The reason I remember math is that I use it very extensively in my work.
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  859. As an old Engineering major, whe I was at The Ohio State University, I wish this information and resources had been available to me. And you are right, the load is heavier, the classes, even the math classes, were more difficult, and the stress and pressure were much higher than for other students. So thanks for putting this out and to anyone considering Engineering as a major...listen up! Use these resources and it will lesson the pain and increase your chance of success. And Good Luck.
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  860. "I ate some pie... and it was delicious." Clever lol
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  861. It's nice to hear mathematicians struggle/struggled with math in school. I always assume other people are some geniuses that get everything the moment they read it, but it's reassuring to know you study just as much as your peers.
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  862. Thanks! I always doubt my own intelligence whenever I don't get something and I'm too embarrassed to ask questions. I wish more math professors and teachers had your mindset
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  863. I personally believe he should 100% go for it. It's not just about learning the material, which I definitely believe he can do, but it's also about challenging yourself. The more you get used to challenges and hard courses, especially being forced to learn so much in such a short time, the more prepared you will be for the most challenging class and the better you will be at learning.
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  864. Hey all, I’ve started a Math bachelor though I was 22 and about to finish masters. Life is long, take the time to do what you think is worth doing and you won’t regret it. Thanks for the video
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  865. I am a Graduate Math Student in India. I regularly watch your videos. There are many good Math channels on YouTube. But honestly I found only one guy who gives the best amount of inspiration for Mathematics. That is you. You are doing an awesome job. Making lecture series is not everything. Motivation plays an important role that we often neglect. Keep it up!
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  866. For years I thought I was a mediocre student in mathematics especially in high school, but I discovered that I just didn't study enough and I had demoralising teachers. I got into engineering in univeristy and I decided to apply myself very much and work hard. I did a linear algebra course and got the highest grade of a class of 150 students. I was very proud and it felt really good and since then I love maths and I can't get enough of it !!!
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  867. Great advice! I am 57 and I have improved my maths with this channel and other sources like Udemy and Khan Academy. I am thinking about changing my career too. Thanks for all your videos and teachings.
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  868. I strongly believe that self study becomes invaluable when you realize that what you have been taught isn't enough.
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  869. You’re the only YouTuber to have the words “epic” and “math” in the same title. Great video 😆
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  870. I'm a 30 year old registered nurse, and I'm taking trig with hopes of eventually getting a bachelors! Its been so fun and even though I don't really know what the end game is- I freaking love every minute of it.
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  871. Just discovered your channel, i graduated high school years ago but have yet to go to university (mainly due to depression and feel inadequate), i was always brilliant when it came to chemistry, biology and computers, basically anything that i could solve visually whilst thinking, but i never got maths and i think it has to do with the environment i grew up in and studied,no matter how i tried i could never understand it,then i realised the reason why i was good at biology and computers for example was because i understood the very basics and i can sort of visualise how it would continue or get solved. Meanwhile in maths growing up it was always the case of “this is solved this way because thats how the equation is”. Do you know of any maths book that can help someone like me get back to studying maths from the very basics and actually explain it? Thank you very much
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  872. They say the best way to avoid the corona virus is to avoid human interaction, so I switched my major to math.
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  873. I didn’t realize to look at this a method. I actually panic about time. It is better to think of it as a resourceful tool.
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  874. Thank you for this, sir! I am currently in the Air force and have studying calculus for an hour a day so that when I get out i'm more ready to tackle a Computer Science degree! Your videos help a ton.
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  875. Trig was the big bully with a dark past, who had a big heart and alot of good things to say. But getting past its demeanor is a real doozy.
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  876. Met a lady in a linear Algebra class once and she was in her late 60s. She was so sharp with her problem solving and swift at answering questions from the lecturer. She told me that at her age she could absorb stuff much easier than before. I believe her because in my 20s I can focus longer and absorb more stuff compared to high school. Thanks the video 🙏
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  877. Yes, I become more rational with math and I am 24. I didn't realize that being smart is all about being an active problem solver until I take math seriously. Love u Sorcerer!
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  878. Im an international student in germany and we're already doing real analysis in the 2nd month of the first semester man
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  879. Depending on the test I take, my scores sit between 140 and 150, and I struggle with mathematics. My institution does a lot of intelligence research, and the STEM faculty participates in quite a few studies for the psychology and neuroscience department. I know for a fact that some of my colleagues who run circles around me with their aggregate experience (read: mathematical intuition) have lower IQ's than I do, by as much as 20 points. Do you need to have a high IQ to reshape the entire world of mathematics? Very likely. Do you need a high IQ to be successful and add to the body of human knowledge? No, definitely not. I'd like to also add that IQ matters much less than you'd like to believe. We know quite a bit about all the successful genius-level IQ holders in the world. We know much less, via survivorship bias, of all the people with extremely high IQ's that are unsuccessful. The old cut off for "genius" based on IQ was 160 or above. If you take statistics as literalism, then there is roughly 1 person per 10,000 with an IQ in the 160-179 range. In a population of 7.9 billion, that's roughly 790,000 people on Earth. We expect an IQ of 180 or more to be present in 1 in a 1,000,000 people - that gives 7,900 at time. That gives up nearly 800,000 geniuses alive on Earth at any time in 2022. Again, if we take statistics as literalism, then we are forced to conclude the vast, vast, vast majority of geniuses will live wholly mundane lives. In fact, the likelihood of any one of them achieving "noteworthy" things because of their intelligence must be incredibly low - simply look at the number of "world-changing" intellectuals that are actually doing work in the world, and then subtract and compare. IQ is much less important than it at first appears. “I am, somehow, less interested in the weight and convolutions of Einstein’s brain than in the near certainty that people of equal talent have lived and died in cotton fields and sweatshops.” - Stephen Jay Gould.
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  880. One major problem that I have with a lot of math and science books is that they are always so bloody serious. I mean, sure, of course they should be mathematically rigorous and correct, but this doesn't mean that they have to be incredibly dry and unmotivating with zero sense of humour or energy. One exception to this apparent rule is David Morin's intermediate-level physics book "Introduction To Classical Mechanics", which was literally written almost as if it were intended for children - you know, that innocent, inviting, sometimes amusing tone that is supposed to make the reader feel curious and interested (one of the lines in that book literally says "that was a neat little trick") - and I actually used that book during my Mechanics 2 course in college, which proves that those kinds of math and science books in fact can work just fine. Another book that has a similar energy going on is "University Physics With Modern Physics" by Young and Freedman - totally accurate physics and perfectly precise derivations, and fun exercise problems that involve things like dropping eggs on your professor's head and finding out information about Santa Claus from his reflection in a spherical Christmas tree ornament. Very charming, very entertaining, and totally awesome.
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  881. There's way more to Lisp than I think you're seeing. I definitely wouldn't describe it as "an older language" or think of it as a downside. Lisp is a class all its own, those other language can't even come close. It's not "the best language", but for what it's good at (metaprogramming), it's the only one in its league.
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  882. I don't need tips, I'm already failing
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  883. Bros gotta change his name from the math sorcerer to the life sorcerer
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  884. As someone who asked himself "is this worth it" as a college transfer Junior going towards Computer Science, the college degree is worth it. You just have to find your niche or passion. I realized Comp Sci was not worth it for me, i found math as my niche, and im currently pursuing my Math Education degree. Ive loved every second. Keep going and never give up. Get that degree!!!
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  885. You do this by making college free
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  886. Only real ones have the Indian edition
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  887. I got A's in calc 1 and 2. So much hard work! I had sheets of memory items I went over again and again. Sometimes I did homework problems twice, and then practiced them again before a test. I also made flash cards. Hard work made up for my being a slower learner. Good luck!
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  888. Honestly this was really helpful. I used to be the “smart kid” that kinda burned out in middle and high school. I kinda learned how to bullshit my way through math because I didn’t think I’d major in stem. Then I fell in love with geology and realized how screwed I was needing to not only know math but get into engineering physics classes. I am just barely getting through trig realizing I don’t think I know much of math at all and don’t know where to start because I have a very bad foundation. So thank you! I’ll definitely try to do some self teaching so I can go into this feeling confident!
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  889. Linear algebra is a must for applied math.
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  890. Totally agree with MS on using the material help solve the problem. Also, rather than spend endless hours on one problem, come back to it after a break of several hours or even a day. I often filter out key information or make a wrong assumption at first glance. Many times I can return with a fresh perspective and solve the same problem easily. Best of luck
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  891. Back in the '60s, we had a brief intro to spherical trig in 10th grade. It was a combo course of plane & spherical trig and analytical geometry. No calculators except slide rules and really heavy with logarithms. Boy, did I learn a lot in that year.
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  892. Man you’re the math guru for everyone grinding towards mathematical nirvana! Nice books. I got an old 1960 edition of ‘Calculus and Analytic Geometry’ by Thomas. That book is stunning to me, also.. many of his examples blew me away (but then again I’m always getting blown away by the math! 😅) . 60 min a day is a good commitment, especially for those who have acquired tons of books waiting to be fully consumed. Nice one! 👍🏽
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  893. “Exams are 70% final is 30% and the HW is just good to do.” Had me rolling!
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  894. This is a gem! I'm an Electronics Engineering graduate but my foundation in Math wasn't that strong hence I struggled finishing my degree. But now I'm willing to put in some time and effort to really learn Math. I'll make it as a hobby since I have 9-5 job now. Wish me luck!
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  895. Thank you. Restarting my math journey and its been tough.
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  896. I think your definition of mathematical maturity is pretty much on point.
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  897. I love to collect ebook/pdf versions of the books you share! I passed my differential equations for engineers last semester. Your videos motivated me and helped a lot. Thank You!
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  898. Learning math too fast sounds like a humble brag.
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  899. His follow up tome, "Fake and Simple Analysis" did not fare quite so well!
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  900. I just finished a 5-week Calc 2 course. I also work full-time. It took over my whole life. I had to do a shameful amount of studying at work, don’t tell my boss.
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  901. Don’t forget when the professor is talking during the entire exam and making it super distracting
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  902. My advice from different perspective of learning process: As a person who knows one guy who read plenty of books about programming, and didn't write a single line of code... My main advice: make all exercises! Try to not skip any of those. (skip only if they hard for you) Second advice: don't rush to see the answers. (give it a time to try to solve it yourself) Third advice: don't overuse spatial thinking.(details below) Third advice is tricky, so I'll describe it in details. I see everywhere today trend to describe solution/proof by some visual representation, most often by some graphics, spatial diagrams like number line with arrows on it etc. It can be helpful to understand if you can't get other explanations, if you for some reason unable to understand solution at this point in time in learning process. But, in my opinion, often those solutions came from other approach, then they were visualized (as some kind of conversion) into graphical representation, which actually misleading way of thinking (way to approach the problem). What are those other ways of thinking? Well... those include analytical, logic, algebraic thinking. If you overuse spatial thinking/reasoning, you'll end up unable to solve/prove/understand many things that is not much understandable graphically, which is big part of abstract mathematics.
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  903. I love this! This is like a drug of addiction for mathematics bibliophiles.
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  904. So grateful for this channel. Found it about a year ago and have been buying math books he suggested and studying them rigorously. It's incredible how much one can learn. I struggled just graduating high school. Didn't go to college but have been an avid self learner and this channel has really helped get me to a level I didn't think was possible. Thank you so much for taking the time to help people.
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  905. I'm 23, a physics and math major (still in uni finishing it up, right when other friends I know are already finished and moving on to grad school), and I've definitely felt like I've hit rock bottom multiple times trying to get everything right. I still have moments where I doubt myself, doubt my skills and potential. I still have moments where I feel like I'm "behind others". I still have moments where I will feel shame for not being as hard-working as I should've been years before. I've survived academic probation years ago and I've survived many more challenging exams since then. I've also survived bouts of breakdowns. But I still kept on persevering. Here's my advice: you have time. You have time, more than you can think. You are 19 and you have years of advantage over me because you are younger. Your 20s are not the "make-it-or-break-it" decade of your life. You are subconsciously comparing yourself against other people. Not everyone plays on the same game difficulty. Not everyone plays on the same world map as you do. You meet other players but ultimately, their questlines will be different from yours. Everyone gains EXP points in different rates, but at the end of it all, the only thing that matters is whether or not did you maximize your joys and satisfaction of life. EXP points are still EXP points, regardless of how you gain them. Life is a single-player game and everyone has their own main questline. Don't get sidetracked by side quests that are not relevant to you, and this includes the age-old trap of comparing yourself to others. Comparison is not just the thief of joy, it's also a time sink. I live by this principle: is this thing helping me? is this thing (or thought) developing me? If you answer "no" to those, then discard it and move on. This is how I stopped my vicious overthinking and confidence crisis.
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  906. Still struggling with this at university. By all accounts I'm not exactly "good" at maths and I've never been, specially compared to other people in my class, but there are two things that help me and keep me going. First of all: math is hard, but it's also for everyone. Sounds like a cliché but it definitely is true. Everybody can learn it just like everybody can learn to play an instrument or a language or whatever. The only thing that's going to be different is the path you and others walk, because every brain is different and so people need to hear and see things from different perspectives but that's ok, like you say: welcome to the world. The other thing is the fact that math is stunningly beautiful, and the feeling of finally mastering a topic or a method is unmatched. On a final note: failure in life (and specially in math) is essential to make fast progress, the earlier you start correcting your mistakes the faster you'll learn. Also on the actual final note: please take care of your mental and physical health in these trying times. I failed with a 1/10 my first important algebra test (one of the only two people who failed) because I was trying to study even though I couldn't and was beating myself up for things that were out of my control at that time. There's no use for studying math if you're miserable while doing so because other factors are ruining your mind.
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  907. Nobody is good at math, but everyone gets lucky every once in a while 😂 Sometimes the most obvious, glaring errors just slip by my sight at least
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  908. 4:31 "An introduction to Abstract Algebra by Roy Da Bitch" Ah yes, a classic.
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  909. There is something very satisfying about constantly tackling new math topics, and applying the stuff that you have learned in previous math topics. The most familiar and traditional example of this would probably be applying arithmetic to algebra, and then you also of course have things like applying trigonometry to calculus, or the Fourier/Laplace transforms to partial differential equations.
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  910. Absolutely amazing how you can pack so much info in a relatively small time (compared to most calc playlists) and yet be so clear. Great work, this video really saved me. Would love if you also did a similar one for calc 2!
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  911. For a toxic trait number 4, I'd say not reading ahead. I took one introduction to proofs class, then took Real Analysis. It went poorly, and I ended up going to therapy again during the semester because I wasn't accustomed to being confused all the time, and never being able to trust my mind. That's doing a problem, thinking you're on the right track, and it turns out it's completely wrong. I've had my prof write "what?" on my homework a few times. Worse yet it getting a problem right and thinking you're wrong. After some thinking, I discovered that I had the wrong mentality. I shouldn't have been coming to class to learn, I should have been coming to class to get clarification on what I was suppose to be teaching myself. The further along you go, the more independent students are expected to be. While I didn't fail thanks to the curve, I could have done much better if I'd have went into the class initially with the mentality of it being essentially a review session. Next up, Abstract Algebra!
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  912. Seems like a good book for intro analysis or honors calculus. I read the one by Elon Lages Lima (relatively unknown since it's only available in Portuguese and Spanish) on my first year of undergrad and it covers more or less the same topics including limsup and liminf, but it lacks the motivational prelude this book has -- that's very nice on Tao's behalf, especially since he has a really clear view of the "big picture" of maths.
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  913. Believe me zero exist in my exam paper😅
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  914. Feynman borrowed a calculus book out of the library, when he was in the eighth grade. When the librarian stopped him, he explained, " It's OK, it's for my father".
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  915. Math is the language of the universe
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  916. I studied those books and they’re brillant and worth every day I spent my time with them. Big recommendations! 📚
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  917. "do not expect to completely master everything in these books" me: ok, i obey
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  918. No joke, the #1 mistake that ruined my grades was playing World of warcraft.... 😅
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  919. This is very helpful. Sometimes I ask myself: Am I even enjoying this? But at the end of the day, I realize that maths is still my favorite subject no matter how frustrating it is.
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  920. for real i have failed too often because of not pushing
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  921. It’s so accurate, you’d think these are over exaggerations, but they’re not
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  922. Thank you! I needed a 30 second refresher, not a 20 minute lecture on the history of the math. This is exactly what I was looking for.
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  923. That awkward moment when a book written in the 1800s is better than one from today
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  924. I love the books by MIR publishers !!! I have 3 of them by now!! Thank you for this video MS ❤
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  925. Wish I would've seen this video last semester, but like you said regrets don't accomplish anything. Thank you for this, I really needed to hear that.
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  926. Mistakes are a part of me
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  927. I love that you say you're "a regular person of average intelligence". While in your case you may just be humble, I struggled through math during primary school. I didn't gain an interest in math until I was in my early 20's; I picked up a copy of The Golden Ratio by Mario Livio and was blown away by what I read. Fast forward a few years and I decided to change my entire career path, starting with getting a degree in math. Due to previous struggles with the subject, I analyzed exactly where my struggles lied, both with my mental capabilities and personal habits (I even took this a step further and took the IQ test). I adjusted my study habits to accommodate my weaknesses which helped out tremendously. Now I have a degree in math and am getting ready to start a masters in applied statistics. I truly believe that math is in everyone's capabilities. P.S. I also used this channel a bunch to help study :)
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  928. I spent an hour every day on my bus, while working for a bus company, to do logic problems from a used logic book I bought for my self study (ebay). Every day, no excuses. Till I got really good at it. It works.
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  929. The thumbnails are getting more and more wild!!
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  930. I just graduated from Arizona State University with a BS in Mathematics with an engineering math certification and I just want to thank you for all the tips over the years and textbook recommendations!! Your videos have helped tremendously and your Advanced Calculus Udemy Course saved my life! Thank you so much!
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  931. The beautiful thing about mathematics is that seemingly basic concepts can be understood at ever-increasing levels of abstraction. It's very rare for someone to obtain a truly deep conceptual understanding of a topic after the first time they've been exposed to it (unless they're a genius or have acquired decades of mathematical maturity), so sometimes it's helpful to revisit the same concepts again-and-again, using more advanced texts and doing more challenging questions. And slowly you can build a picture in your own head of how it all pieces together.
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  932. Excellent timing. There are so many formulas to memorize in Statistics.
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  933. in my student life, the hardest math actually had hidden hints which led to easy solutions. just that hints were hidden.
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  934. Just 3 minutes to teach something that took 1 week to my professor, thank you so much from central America!
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  935. I had a prof assign us homework of one question one day. The next day we came in, sat down and he asked up who did it. Nobody said anything. He then attempted to go over the solution. He very quickly realized that he had no idea how to do it but didn't want to admit it to the class. We spent the next 2 lectures figuring it out and still never got a solution that fit within the framework of the textbook and its axioms.
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  936. I am astonished by the community of this channel, the whole atmosphere that is created by the Math Sorcerer and all these people from different parts of the world who are assembled together by this link, who nourish us with delightful energy and heal our wounds. Thank you, the Math Sorcerer for all your work that turned into our pleasure.
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  937. "When you find yourself unable to get started then, find things you can do, that are easy to do and, that builds Momentum. Don't over-think, don't over-plan, take Action Today" Great video! Peace out
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  938. I'm in my late 20's restarting my Maths journey again 😊
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  939. Who knew the math sorcerer made such a handsome woman
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  940. How about a series 'playlist' to master mathematical maturity.
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  941. Great list. to quote the paper chase "You've gotta work like hell, that's no joke."
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  942. So true. I've found that I tend to understand the subject better after the semester has ended.
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  943. My hardest math class was the one with the hot chick sitting next to me. She was so distracting.
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  944. I'm impressed you took a physics specialized book as a math major but also surprised no real/numerical analysis, number theory, differential geometry or any kind of geometry classes?
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  945. "How to prove it" by Velleman, is a very good book. We use this in a course called "intro to advanced mathematics" for 2nd year math majors where I teach. This is a very readable intro to proofs
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  946. You sir are a blessing to us mathematics student. Your math related lectures are great, but your life advice videos are something else.
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  947. In the late 1960s I lived in a very rural and poor part of se Ohio. As a freshman in hs I figured out calculus on my own with this book. The answers were instrumental. Over the length of high school I figured out 2 years of college math and started out as as junior in college. I had no help in studying the subject. Now that I am close to 70 years old I found out a very valuable lesson. To study math or the sciences professionally, one has to be invited in. I was not invited in and had a successful career in engineering.
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  948. A person's greatest friend in life is themselves. Once a person recognizes their own strength, they can overcome difficulties.
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  949. A classic of all times!! Unfortunally Professor Spivak passed away in 2020. "Calculus", as any other of Spivak's books is a real gem!
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  950. That is one hell of a thumbnail...
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  951. I wish I had teachers like you back in the day. They all seemed so upset and never excited by math
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  952. This actually stressed me out so bad I almost had an anxiety attack
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  953. You don’t know how much your words have helped me in this journey. I still think that watching motivational videos isn’t a great way to overcome failure or to get inspiration, but the way you talk and the tips you give are focused on trying to actually learn and to have fun with maths. I just want to thank you. Also, your playlist on real analysis rocks
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  954. To see books in video above, just click on time in blue highlight. Please correct me if I made any error below. 0:29 Calculus by James Stewart 1:23 Physics for Scientists and Engineers by Serway Jewett 2:13 Modern Physics by Paul A Tiplex and Ralph A Llewllyn 2:35 Logic and Proof by Norman, Sherwood and Bar 3:00 A Introduction to Abstract Mathematics by Robert J Bond and William J. keane 3:26 Mathematical Statistics with Applications by Dennis D Wackerly, William Mendenhall III, Richard L. Scheaffer 4:50 Fundamentals of Differential Equations and Boundary Value Problems by Nagle, Saff and Snider 5:32 Discrete Combinatorial Mathematics by Ralph P. Grimaldi and Frank L. Salemann 6:25 Elementary Linear Algebra and Matrices by Richard M. Caron and Frank L. Salemann 7:22 Linear Algebra by Stephen H. Friedberg, Arnold J. Insel, Lawrence E. Sphence 8:26 Partial Differential Equations, An Introduction by Walter A. Strauss 8:55 Fundamentals of Complex Analysis by E. B. Saff and A. D. Snider 10:20 Abstract Algebra, A First Course by Dan Saracino 10:58 Advanced Calculus, A Couse in Mathematical Analysis by Patrick M Fitzpatrick 11:59 Elements of Point Set Topology by John D. Baum.
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  955. I've returned to uni at 29 to study research physics and am currently double majoring in physics and math and computer science. It's absolutely the best decision of my life. I'll probably be over 40 when I finish everything and hopefully phd. It has its challenges not gonna lie, but I wouldn't trade it for anything. Life doesn't have to be linear and the same for everyone. There are many people my age in some of the classes I'm taking, even older. It's not such a taboo and weird thing as it might appear. And even if other people don't approve (many of my friends where not that supportive and thought I was crazy and should just settle down in mu boring unfulfilling life, do a job I hate, have kids and spend the rest of my life miserable) who cares. It's not their life. I would even argue that it's in a way better to be older - you're more mature, more committed, have better time management skills. When I first started uni at 18, I was all over the place. Slightly been pressured by parents to go study 'something useful I could get a good job with' instead of physics, ended up with a CS degree, became depressed, was failing classes, was not able to cope with all the stress, assignments, keep track of time and all I had to do, homeworks, studying... Now, 15 years later, I'm able to (not always perfectly but more or less) successfully juggle part time job, 2 majors and even have time to have hobbies, go climbing, diving, caving.. during the weekends. It's not easy and can be very stressful, but when you aquire the right mind set, and you fully realise that THIS is something you really want from your life, you can absolutely do it. The best advice I've read somewhere is - one day you'll be 40 anyway, but you can be 40 with a degree you want and doing something you love, or just be 40.
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  956. Learning all these books is gonna take about... 3 lifespans
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  957. "But for us mere mortals"
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  958. The resemblance is stunning!
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  959. I believe both creating self and finding self are parallel. For me, Creating self means positive action taken to overcome self to achieve the better version.
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  960. Terence Tao makes $669,000 in the year 2019. His university gave him a secretary to help him manage his administrative duties so he has like six hours each day just for math.
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  961. u should just make video on full college curriculums and books for them
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  962. Dude I cannot even begin to tell you how much I rely on your content. I have pulled myself out of the nastiest hole and I’m still going and becoming unstoppable.
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  963. If someone wants to pass math exam, creating formula charts and revising them daily should help you to get very good marks, and keep 3 hours to solve problems.. try to solve as many problems as you can in three hours... don't ever go beyond 3 hours, while practicing exam problems.... it does not matter how many problems you can solve given an infinite amount of time, you need to solve as many problems as you can in 3 hours...
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  964. You need to stop recommending books. There are only so many I can buy lol
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  965. Burnout: Your body and soul are giving you the signal that you need to change your life. Take it seriously. You need to give yourself a break. Get out into nature often!
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  966. The best beginning of all your videos 🤣🤣
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  967. "Today some educational administrators are trying to demote mathematics from its traditional place." - From the Preface of this Book This definitely stood the test of time. True today as well.
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  968. I feel personally attacked
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  969. I've taken three courses with Garrity, who is my undergraduate advisor. It's nice to see how he's inspired other mathematicians who haven't even spoken to him in person. Great review, I'll be buying the book shortly.
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  970. The Math sorcerer: people who study math use glasses but I don't wear glasses, in fact I have excellent vision so that was a terrible example" That had me laughing so hard
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  971. Thank you for showing so much CS on your channel! Your videos were a catalyst for me liking math coming from CS so it means a lot seeing so much more on your channel!
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  972. I love having so many books, I need so many different perspectives in the writing, some go deeper, some not as much, some explain it differently, some will have illustrations, and it will just click.
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  973. Discipline is more important than motivation. Don't study because you are motivated, study because you are disciplined.
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  974. I suppose we've now discovered the reason why Soviet scientists were so good back in the day.
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  975. Thank you. You reminded me of this quote: “... but if a thing is humanly possible, consider it to be within your reach.” – Marcus Aurelius
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  976. There is a quote from the Paper Chase, "This is the unbroken chain, knowledge passed from person to person". When I am lonely, I lean on the idea that I am a part of something larger. That said, I think there is this strange expectation that Mathematicians can sit down and just knock out difficult questions. It takes a lot to convince my students that unless I am working on something with them, where I have made it through the wall of frustration to some level of understanding, that I am doing the exact same thing as them. I struggle, I'm wrong. a lot. But since no one sees anything other than the polished product, there is this assumption that ideas come to the page fully wrought and ready to roar. So, I think that is one of those lurking factors contributing to the loneliness factor. I hope I am not alone in this, but when people ask me what I do, I usually say I am a Math Educator, and those people tend to then spend some amount of time loudly proclaiming how much they hate the subject. That certainly tints social interactions a bit.
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  977. A shout out to Michael Sullivan. One of the best Math textbook writers I have ever read! Very precise, detailed and clear exposition. Learned so much from his texts.
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  978. Dear Math Sorcerer, A big thanks to you for getting me re-interested in mathematics. I am over 60 and trying to relearn some of the advanced math that I learned in engineering school more than four decades ago in India. Now I am in eighth grade and hope to ascend to the holy grail of Apostol, Spivak and Rudin someday. These books are expensive if you try to buy them and being a book collector with a limited income it is a huge balancing act. However, Calculus - I & II of Apostol is available for a free on the web. Thank you once again for your work and encouragement.
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  979. The more controversial question is how to do calc without algebra XD
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  980. I've been watching your videos for a few years now and you really helped me get motivated and interested in mathematics. I had to take calculus to finish my biology degree after not taking math for over 6 years. I self studied the Blitzer College Algebra and Precalculus books you recommended over the summer. I just took my first calculus test this week and made a 95 after extra credit. You really are helping people get motivated and interested with this channel and giving very solid advice. Thanks for all the work you put in.
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  981. If you're lonely because of your work, find some people that are doing the same type of work.
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  982. See you thought you were making a joke, the flat earth society is gonna use that clip from the reputable mathematician the math sorcerer
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  983. Having someone in your life, let alone a husband that's a mechanical engineer is already such an invaluable resource most students wish they had 💀
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  984. When are we EVER going to use TRIG again!?!?! UGHHH (Highschool self) Calc 2 Arrives: OH FFFFFFFFF!
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  985. way better than how my book explained it.
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  986. How does this guy never out of ideas lol
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  987. Im going back to school this year because of you !!!!!!!!!!
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  988. Imma owe my degree to professors like you, Leonard, and the organic chemistry tutor. Words can't describe how helpful you've been to me, Thank you!
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  989. Thank you Sir. I'm learning computer science and it is so frustrating sometimes when I don't understand the theories. Most of the times I feel like everyone is ahead of me and I'm standing alone going nowhere but this video gave me a big advice, a mental relief and a breath of fresh air ❤️🍃
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  990. the mathematicians' "just do it"
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  991. Is totally true, when you get to fall in love with mathematical proofs, proof techiques and logic symbols, it is a lot more straighfroward learning any mathematical topic. Giving the time to learn the foundations of mathematical thinking empowers not the feeling of "i have to" do this topic of math but "i own" this topic of math, it became something personal, something you pursue instead of strive. Great video. Inspiring, thankes math sourcerer ❤️
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  992. Understanding 60% of content from a lecture would be a dream for me. Barely understand anything we discuss in calculus bio and chemistry. Takes me a solid 3 hours just to understand the entirety of lecture plus the hours of studying to remember and integrate the info.
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  993. Don't worry you have your whole life to study it
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  994. Thank you Dover for making learning advanced math and physics affordable
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  995. This one is actually a recommended book by my teacher for Indian National Mathematical Olympiad (INMO) You can even review the books like: 1)Higher Algebra by Bernard and Child 2) Theory of Equations by Burnside and Panton Etc...
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  996. "How do i drop out?"
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  997. your eye and hair colour matches so I'll trust you.
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  998. Yes! more than 3 (pure) math classes is just insane. You just dont have the time to do all the practice questions and you just learn half as much. Just take your time. Nobody has to finish his degree a year earlier.
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  999. Please don’t stop making these videos, I have no social life and just do maths, these videos keep me going.
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  1000. It's interesting hearing this, im relearning math from basically scratch (6th grade and up, currently at 8th) I rediscovered why I used to love math until 5th grade. Self study is immensly revarding, but difficult. So I can attest to everything you say. If I manage to relearn high school math, Im thinking of going into physics or math instead of current IT degree I hold. Bad grades did have major impact on my life thats why im self studying and thinking of taking math SAT equivalent here in Europe, I had a D equivalent in math,so had to pay out of my pocket for IT degree. And low grade is bringing my average way down, on the diploma. As a sidenote calculus was hell due to my lack of undestanding of trig. Moral of my story is, don't let your gaps snowball, because they will.
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  1001. ↓ How many of y’all are part of the Serway gang?
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  1002. you are an electric teacher, and funny too😂
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  1003. This guy reminds me of ppl who write perfect English then apologize for "bad English" 😂 Jokes aside, he's going places... Best of luck for him ! -From a 16 year old who sucks at maths but trying to improve with the help of your channel :)
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  1004. Yup! Who doesn't like doing math for the sake of doing math :)))))?!
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  1005. You are easily one of the best teachers I have ever seen. You are enthusiastic and create an interactive learning environment with your students. It is great that we can hear the students questions and your explanations because many times I had similar questions. Thanks for your help and now I am going to ace my exam tomorrow
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  1006. I started going to college full-time at 25 yrs old. Previously I was working full-time and taking classes at community college in my spare time. So far I have loved my experience and I feel like I am more motivated and doing better than my peers which is a huge confidence booster as an adult student. It's never too late to go if that is what you want to do. Best of luck!!
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  1007. Sir I have a request. Please never stop making these types of videos 🙏🙏
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  1008. 1982. I wasn't ready for university. I failed the first exam of a class, prof wrote "Come see me" on the graded exam. That terrified me so much I dropped the class immediately.
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  1009. I also think mathematicians are minimalist in the sense that when creating definitions it needs to be so concise as possible. And usually a short proof is considered as a beautiful proof.
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  1010. Henry Ford "Whether you think that you can, or that you can't, you are usually right."
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  1011. Soviet math books are pretty good. My calculus teacher always told his students "the older the textbook, the better", soviet math books is a good example of this.
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  1012. As far as I can tell, the IQ tests of the era that were administered during Feynman's days also took into consideration your facility with language arts. His skill in the language arts weren't as advanced. I believe this is mentioned in Genius: The life and times of Richard Feynman by James Gleick. Hope this helps.
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  1013. I'm not a professional mathematician, but an old lady, who loves to learn advanced mathematics. And I am a very happy person. 😊
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  1014. My Math Teacher was a Russian by Birth and he Graduated from the University of Moscow with a degree in Math, he's now a Mathematician.
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  1015. "Real analysis is so easy!"
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  1016. Like does anyone else notice he looks like Jeff Bezos
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  1017. The timing couldn't have been more perfect! I'm just about to begin my self study program. I had watched your "1st edition" video a few days ago and was planning to start by ordering a couple of those books this Wednesday. I'll have to see what's in the update first! Thanks for this. Looking forward to watching it this week.
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  1018. I"m probably not the oldest going through this, but I definitely understand math better in my 30s than I did in my 20s.
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  1019. Went through this as well. Had to take calc 1 and calc 2 twice. Need to retake Chem. But, I feel solid on math now.
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  1020. I get into this debate all the time! My sister is an environmental engineering major and I'm a math major. She once showed me her fluids homework, which was around 15 pages, and said "this is why engineering is harder". I showed her one of my combinatorics problems and said "it took an hour of both graduate and undergraduate students brainstorming together before we could even write the first sentence of this proof. This is why math is harder."
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  1021. Note: there is no trig in this book and that is a good thing. Second note: all books by Silverman are great. Especially his translations of Russian books. Last (for now): he also has a much larger calculus book; one of the best out there.
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  1022. Got my PhD (Artificial Intelligence/Artificial Life) at age 58. It's a wonderful feeling, an achievement that no one can ever take away from you. And now I'm working on learning more maths. Hope to be able to do some maths research too.
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  1023. You pick up weird hobbies in academia. I knew someone who used breaks to climb mountains. He'd go to McKinley/Denali during winter recess
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  1024. To be honest, I’m not ready to take responsibility for my life. I like to complain. Maybe one day I’ll change
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  1025. Great video! Additionally I’ve found that detailed analytical work is best done in a physically low-ceiling environment (like the room in the video) and in the first part of the day (0-9 hours after waking), and creative work is best done in a high-ceiling environment (like outdoors) in the second part of the day (9-16 hours after waking).
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  1026. Homework counts as studying if done honestly. The moment you start looking for solutions online or from your classmates it is no longer studying. However, the sad world of grades forces us to do that most of the time... Homework at the MSc level is extremely challenging and almost impossible to complete if you only rely on what you have learnt in class or read in a book. I have a maths genius friend who told me that if you can reproduce your notes without looking at them and teach a chapter without using a book, that's when you have actively learnt everything and are fully prepared for the exam (of course you have to be able to tackle new problems). If you only read and understand everything but are not able to reproduce your notes without looking or teach without using a book, then you have only learnt passively and are not fully prepared for the exam. Another point I'd like to add is that maths is an adventure. You have to explore it on your own. Homework is that exploration. You have to give yourself as much homework as you can, even additional homework that your school hasn't told you to turn in! So, yes, homework is studying if you do it the right way and if it makes you appreciate and apply the principles and techniques learnt in class. It should also make you research new things related to the topic and improve your critical thinking and problem solving skills. That's when it counts!
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  1027. Guys something I can recommend is staying away from phones. You probably hear this everywhere but dont take it seriously like me but it really does make a difference. When I didnt have a phone I used to take information in really fast and have a time to think about things and solve them but I noticed after having a phone that I started using it as a scapegoat to run away from my problems and get addicted to it.
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  1028. Wow, I genuinely felt smart. Thanks for sharing!
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  1029. IMO math is the only provable thing that can increase your IQ. There's no other subject that comes close.
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  1030. dude your videos works for my like a talk with psychologist haha, i feel more human. thanks :)
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  1031. I like the fact that you say: Go for a walk if it's safe to do so. We sometimes take security for granted.
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  1032. I came here thinking this was some joke video, didn’t expect such high quality. Good job!
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  1033. I gotta say you're one jacked mathematician 👊
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  1034. I bought the last, everything you need to know, math (pre-algebra) book .. and I have to say, it's been awesome! I'm not starting from scratch necessarily, but I'm looking to jog the math memory & sharpen my skills -- before tackling calc & discrete math : D ... Thanks so much for your videos and recommendations. I'm starting to really love math now -- if only I had this love when I was still in school XD
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  1035. To condition a high quality bound volume, you need to condition the spine! Stand the book on the spine and open the two covers. Then holding the pages up vertically, begin from the outer pages on both sides and begin paying them flat a few pages at a time. Press the pages down at the binding, and repeat, working a few pages at a time from the outside to the center. Repeat this process until the binding becomes supple. Hopefully you've not broken the spine already.
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  1036. Bro you help me from getting 20% to 50% in my high school math
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  1037. Holy cow, I'm honored that you took the time to answer my question with an entire video!! To give an update -- I sent that question in two semesters ago I believe. Since then, I have already taken college algebra. I was able to pass the course with a great grade, and the book by Blitzer that you recommend was actually a huge help for me. The trick to helping me learn the math was to do all of the practice problems in the Blitzer book; each chapter, there'd be a few pages of practice problems, and I would do them all in addition to my assigned schoolwork. If I didn't have the practice problems I probably would have failed the course. Another roadblock I stumbled across is trigonometry. It is a new type of math, and it just didn't click for me. I wasn't able to pass trig last semester, unfortunately -- with all my commitments to other classes, I just didn't understand it and I didn't have the time to grind away at it. I am taking trig again next semester, and I am going to buy your course on trigonometry 1 on udemy. I hope that it will be a good resource for me, and I am committed to passing it this time!! Thank you so so much for answering my question, and for everyone that is commenting on the video with their advice. I really appreciate it.
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  1038. Henri Poincare, a French mathematician, had in sight on understanding mathematics. It was only after deciding to take a rest from his effort to solve a mathematical problem, and go to an exhibit, that Henri arrived at a solution. When his foot touched the step of the uptown bus, he realized the solution to the math problem. He concluded that the subconscious mind has the ability to turn a problem in every conceivable direction in search of a solution. There in lies the reason why stress and intense effort often leads to frustration when trying to learn and understand mathematics. Mathematics is a subject whose concepts were often derived through dreams (Srinivasa Ramanujan) and "Aha Insight" (Archimedes). It is not until we have at least mastered the fundamentals of a sport (basketball) or game of strategy (chess) that it becomes enjoyable. Persistence at play eventually wins. Until one has mastered the fundamentals of mathematics, then it is anything but "fun". Unfortunately, the harder one tries to learn math, in preparation for exams, the further one gets from truly understanding it. Is there a stress free way of learning math? Like wanting to learn to play a game or sport with friends, there must be a valid and practical reason for wanting to learn mathematics. Students who love problem solving will tend to find mathematics a subject to which they can relate. I am 71 years old and concentrate on math word problems to become a better substitute high school instructor and I also study advance mathematics to be able to read and understand articles on high energy and quantum physics. Where there is a will (good reason), there is a way (motivation to succeed).
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  1039. The understanding that you won’t understand all of the info is powerful advice
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  1040. You are one of the few youtubers who constantly give out advice to people you've never met. Your videos have helped get back that spark. Currently doing a Physics/Mathematics degree and your videos really help 👍
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  1041. I’m going back to school for electrical and computer engineering. Realizing what I was meant to do in my late 20s. Wonderful words my man.
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  1042. Having taught calculus for 20 years, I have to say I agree ! I love this book!
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  1043. Mir publishing (Mir means "peace" in Russian) I still have a few from university in France. They were dirt cheap and fantastic, with some amusing comments, for example a page on how Einstein's relativity was consistent with materialistic dialectic and Marxism.
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  1044. I love when im not confused and a classmate asks a question that makes me confused
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  1045. I actually have recently asked quite an unusual question to my teacher. I asked if she knows some students in other classes that also enjoy math as I do, she was really happy to answer and tell me about them. Im just lately feeling very lonely and try to make new friends hopefully 😊
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  1046. It’s really never too late to change. I worked with tons of doctors that became engineers first then switched over to the medical field early 30’s to early 40’s and a few even at their 50’s. I had some also start their college career in their 30’s or 40’s as well. The most important thing is do you have a supporting family, spouse, children, how is your finance, and etc? going to school young is the best time because you have less responsibilities but as we get older we gain wisdom and maturity comes along meaning more responsibilities. People tell me you are either smart or you don’t have it. I say that’s not the case most people are average they put time into school because they want to do it and they have to do it for themselves. If you have a supportive family and your finance is not like detrimental yes do it! Go to college why wait and keep dreaming or thinking what if!
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  1047. Dude you are a really book lover as me, i v collected a lot of books for mathematics, algebra, topology,so on. I'm study mathematical analysis, good luck to you
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  1048. One of my biggest issues; it was especially discouraging seeing others walk out of an exam well before the end and knowing I'd probably not even get 2/3 of the questions answered in the alloted time. I'm on a long-term break from college (technically I've dropped out but intend to return) but, I've actually just recently started working on speed since I've begun practicing math daily again, but, man, old habits die hard.
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  1049. I was in my thirties, working for a car rental company, and raising a family. My education was limited to a liberal arts degree from my early twenties. I had no mathematical background beyond rudimentary algebra. But for some reason - probably had something to do with being bored and disappointed with my job - I started studying math from old college text books that could be found at used book stores. I always made sure I got one that had the answers in the back so I could check my work. I studied and worked problems every day, sometimes even if it was just for five minutes a day. I would find time in the morning and on lunch breaks. Started out with college algebra and worked my way up to calculus and physics. In my late thirties, the company I was working for axed my department. Suddenly I had no job, no career prospects, and I had to start all over again professionally. By then, however, I think all that math had completely reformatted my brain. Long story short, for the last decade and a half I have been working quite happily in software (and still studying math on my lunch breaks!).
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  1050. I wish this video was around when I was an undergraduate/highschool student. Love the advice videos!
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  1051. Even if you fail, most people never even try. And even though the real world certainly has its competitive side, cooperation in teamwork is even more important, so there's something for everybody. 😊
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  1052. As a math student I agree, math does make you better at dealing with failure. It's quiet unfortunate that non-math people don't realise those who study mathematics fail too, and it's totally fine as long you learn form your mistakes and bounce back stronger!
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  1053. Ohhh I must say it'd be awesome to see you cover Stochastic Calculus and some other cool stuff deep in mathematical finance.
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  1054. Honestly and I mean this in a positive way..... You're like the motivational speaker/gym trainer/coach equivalent of the Maths community at this point. I literally watch your videos every single day to motivate myself. You make it look like Maths is like going to the gym or just playing another online multiplayer video game.
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  1055. Confirmed: The Math Sorcerer likes his books Thicc... lol
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  1056. Homework is studying. Examples with numbers provide logic and expectations for future problems. If you are able to solve homework problems correctly, you are proving to yourself you understand the material.
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  1057. My exam period has begun and I cannot stress enough how much I needed this video.... Youre a treasure dude, keep it up
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  1058. Thanks Jeff Bezos, I'm now a mathematician.
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  1059. Well the thing is math is the foundation of so many fields.... engineering, physics, astronomy and countless other areas....when you learn math, you are preparing for something else.
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  1060. Not going to lie, but I was expecting an April fools prank video. Thank you for your content.
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  1061. I went through a good portion of my life thinking I was just bad at everything. The truth is I just didn't realize how hard everyone else worked at things and I was just lazy. Hard truth to acknowledge.
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  1062. This is such a tranquil video. Love hearing your thoughts.
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  1063. I've been studying math at university for about a year and I can already tell it has changed the way I think about stuff, specially the way I tackle real life problems even if it doesn't have anything to do with math.
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  1064. Math can be addictive. It's like the brain enjoys it.
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  1065. When it comes to work, I just apply and apply and apply. If I get an interview great, if I don’t, I move on.
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  1066. Hey! I "dropped out" of high school, opting to go to the local community college instead of senior year. It turned out to be a good decision. Thanks to some great professors, I developed a passion for physics, then math, then both as a double major at the big university down the road. Ultimately the physicists captured me for grad school, and I've been teaching at the community college ever since, hopefully inspiring more high school dropouts to find their passion in STEM. Thanks for all you do! -- Zak
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  1067. Studying was always a break from a dismal reality. That’s why I love books I guess. Math and reading alike…
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  1068. Amazing advice that really resonates with my motto when learning more math/physics in my free time at college: “Don’t let school get in the way of your education.”
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  1069. I beat procrastination by watching videos how to defeat procrastination.
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  1070. Exactly. Go and check how many professors or Field Medalists who are good at speed math. Very few. Yet they made profound contributions by deep analytical thinking.
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  1071. I love the emphasis you gave on the value of "Time." I totally agree with you on that. Like one youtube vlogger said in one of the videos I watched the other day - "Two years being passive is a blink of an eye. Two years moving towards goals every single day is plenty of time, it's just a matter of perspective. There is nothing that cannot be accomplished in two years with enough effort."
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  1072. Shout out to Jeff! I'm 62 and also studying maths. I did a PhD in Artificial Intelligence in my 50s, so I'm just doing the self-study thing now rather than going for another degree. You are going to enjoy learning. With the Internet, there are always resources available when you get stuck. It's not like when we we young and had access to only one book and teacher.
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  1073. I'm in my mid 30's and I started studying first-order logic over the summer, with the goal of trying to understand a bit more of the foundations of mathematics (philosophy major here). It's been incredible. And now I am at the point of my self-guided studies where logic and math proper seem indistinguishable (e.g. model theory & abstract algebra), and I love it! I may even go further into mathematical territory than I planned to. P.S.: a reason (not) to study math: you end the day with a headache! Although some headaches feel good, for some reason! :D
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  1074. Laplace transforms turn a calculus problem into an algebra root-solving problem. It makes something difficult into something easy. Three cheers for Laplace and his transform!
    79
  1075. "Books are weapons in the war of ideas" reminds me of my favorite line: "Books aren't just works of art, they're crystallizations of knowledge and wisdom"
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  1076. I'm gonna tell my kids that I got tips from Newton
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  1077. Don't judge a book by its cover... judge it by the *smell*!
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  1078. Clicked as soon I saw. Kind of similar story. Age 26, just started mech engg bachelors. Lots of things happened,and finally decided to do what i wanted to do. Have done bachelors, masters but still not happy and want to do engineering. maybe i could have mailed you too.
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  1079. I don’t understand why people would leave her because of her love of mathematics?
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  1080. I’m an EE undergrad, but my dad gifted me the first edition of “Algorithms in C” An amazing book, one he read himself in private beforehand and told me how he would have given everything for the knowledge in it. Back in his day all he had were a few translations (Soviet Ukraine) and teachers who didn’t know anything about computers, he taught his math teacher programming. That math teacher also went on to work in California, pretty cool how small our world is.
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  1081. College sort of destroyed the enjoyment I used to have with math. I'm not sure why, but there's something about taking classes in subjects that makes me lose interest in studying certain topics. It was just painful having to do the homework and study for exams while working part-time at a crappy fast food job. It's always so much better to just learn on your own.
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  1082. For me personally calculus 2 was my favourite. I loved doing them and they were easy marks for me. Calculus 3 however was the one where I got absolutely destroyed
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  1083. I remember asking my calculus 2 Professor if we had a review for the final. She replied the entire semester has been your review.
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  1084. i never comment on videos but i needed to on this one. Having college statistics online asynchronously (no zoom calls just using a textbook and a few notes from teacher) makes it extremely difficult. Your videos help me to actually understand the concept and be able to complete the questions on my own. God bless you, seriously.
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  1085. Student: you're chocking me Professor: show me how much you love linear algebra
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  1086. People call the lack of interest in one area "laziness" in an attempt to manipulate the person into behaving the way they want. We all have the same potential but not the same interests.
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  1087. just looking at the contents you can tell its a gem. they don't make them any more like they used to. great stuff.
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  1088. Even though you dedicate this channel to math, I really enjoy the diversity of the videos you make. Along with many other viewers here, hearing words of a wisdom and guidance can be very soothing. Thank you.
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  1089. Instead of "unicorns" in your proofs, you may want to say "observed equine unicorns". Unicorn used to refer to some rhinos, and given the apparently infinite size of our universe, it is more probable that classic "equine" unicorns really exist out there than not. I cannot attest to their purpleness or math skills.
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  1090. As a retired urban designer, economist and attorney, I find your videos fascinatingly informative. I'm enjoying a maths refresher from them.
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  1091. Like this comment as a petition to get Math sorcerer to write an official calculus textbook!
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  1092. Just wanna say, as someone who hasn't taken calculus in a couple years and now finds himself registering for a class where calc is a prerequisite, this video is super useful as a refresher! Very clear and concise. Thank you!
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  1093. Yeeeess this Y do they assume
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  1094. Can you imagine learning Mathematics from the start to an advanced level where you are now able to Apply Mathematical knowledge/concepts.. to Business, and become wealthy from doing so.
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  1095. the problem is that in the classroom, especially during that traumatic time known as high-school years, math and other sciences are taught like something more similar to military training with live ammunition. there is no room for mistakes under fire, and especially when failiure in math and science is often viewed as a sign of failiure in life, there is a huge difference between this relaxed attitude and the pressure put on students in real time. to some extent, you can say the same about any field of study in the classroom, that there is no time for any deep engagement with the subject, if the top priority is getting good grades and pleasing others with them. from parents and teachers to future employers.
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  1096. Spend hours and hours reading theory to get a result on a difficult problem, so that later they ask you for a pic or see how you did it xD
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  1097. I was about to have a mental breakdown cuz of a question similar to this , I thank you kind sir for your work, keep it up and we love you + you are amazing²
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  1098. Just getting ready to ask the same question. If working as many problems is a key to learning math, well, knowing that the correct answers to all problems exist might encourage those learning to work more math. This should be a criteria for all math textbooks.
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  1099. Currently working towards an engineering degree, and your videos helped me learn the brilliance of mathematics, great video!
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  1100. wow math majors take modern physics?
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  1101. One thing I consider very elitist in math is that a lot of content is hidden behind paywalls that regular people just wouldn't be able to afford. Especially if they don't know what to necessarily look for. Without having access to books from my library (and sometimes just doing plain piracy out of laziness), there is simply no way I could have completed my PhD. Sometimes I just needed to check one or two pages from a specific book/article and I'd have to pay like 30$ for having access to those said pages. I'd say though this is a problem with academia in general: a lot of science gets mystified because the sources are made inaccessible by publishers due to extravagant fees. Don't even get me started on undergrad college text books which is a scam on its own.
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  1102. Sometimes the heaviest thing we lift are our feels.
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  1103. One common misconception about math is that some people are good at it and some people are bad at it. In reality, math is inherently hard to understand for everyone. It takes practice to get good and to be confident in the subject. But anyone can get good at math if they take the time to understand it. I started out being absolutely terrible at math. Was lower than average in middle and early high school. But I put effort in to learn the best I could, and took time to practice, and I got very good at math. Now I'm a senior in Computer Science, and I've passed math classes up to Calculus 2.
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  1104. Bro we need to read existential philosophy. Before we go to bed.
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  1105. with my lecturers, they flip it: lecturer: "anybody have any problems with this?" everybody: [don't want to speak up, people will think i'm dumb] me: [is okay with exactly zero of what the lecturer just said but don't want to have them just say the exact same thing all over again]
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  1106. "People watching this video on youtube are most likely in a discrete math class" Me in a discrete math class: "He IS a sorcerer"
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  1107. This guy is a community college professor. I know this because he is not trying to break the students mental fortitude by giving them unnecessarily difficult problems. At my university I think the professors like to quietly laugh at the students as they go insane with problems that only the top 5 percent of the class can solve. This is true because even before the first test is written they tell us that the grade will be heavily curved. I have gotten 43% on a test and passed with a C+. Also this last quarter my grades for my upper division macroeconomics class were; midterm 1: C+, midterm 2 C- and I completely skipped the final but yet I still passed the class. WTF! Some people are good at college and others struggle.
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  1108. What you learn earns you a living. What you self study makes you wealthy. It’s an investment.
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  1109. As a high school freshman who wasn't confident with math, thank you. Even though I'm not majoring in mathematics, your advice made me more confident about studying math. Thank you.
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  1110. He must be absent lol
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  1111. Not to cringe but honestly The Math Sorcerer is my role model! Edit: spelling.
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  1112. It’s so interesting looking at more complex math books. I’m barely beginning my mathematical journey with basic algebra and I’m super excited to get into higher level maths in the coming years.
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  1113. I worked at Thinking Machines, where Richard Feynman was a consultant. Danny Hillis (founder of Thinking Machines, where Marvin Minsky- a key role in the progression of AI, was on the board) told me Feynman played a major role in the design of the 32-dimensional router (connecting the 65K processors). He also told me about Feynman's IQ score- that he was told by Feynman's sister who also has a PhD. Her IQ score was higher. The way to view this is: an IQ score on an IQ test is nothing more than testing one's ability to take that kind of test. Many of the high IQ self-promoters take these tests over and over to the extent they have seen all or most all of the questions. How many of them have invented anything- shown any exceptional creativity like Richard Feynman or Danny Hillis? Not one I am aware of.
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  1114. This guy is so humble and offers honest, helpful advice! Definitely know he's a beast of a mathematician behind that kind demeanor.
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  1115. I'm getting back into going to college now. I say "getting back into" because there have been phases in my life where I tried to do that so other people were appeased. This time, I'm doing it for myself. This time, I genuinely just want to learn. This is really good timing.
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  1116. Im self studying maths for my gcse and trust me everytime i am bored with maths i watch your videos and instateneously i feel motivated.
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  1117. I usually find it really hard to give up on a problem. It bothers me constantly that I didnt solve it.
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  1118. Honestly I wish all education was streamlined like this so I wouldn't have to waste time
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  1119. These are the problems we solve in our bachelor's of mechanical or civil Engineering programs.. The particular problem, the prof was going through belongs to solid mechanics course.. or called mechanics of materials in few other universities.
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  1120. It is because it's hard that it's worth it.
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  1121. I have just signed up for your algebra course on Udemy, will be starting this week. I didn't know you had these videos until recently. I will be working through the Algebra then all the calculus videos you have. I will look into the books after that. But will you be releasing a video series for trig? Would be great if you did. Thanks
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  1122. Its usually best to ignore people that are dogmatic and try to convince you to learn a certain thing. The amount of coding gatekeepers in programming is beyond tiresome.
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  1123. i like to imagine you are a NPC in some forest sharing wisdom with everyone who encounters you
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  1124. Here is a strange math book. "Mathematics made difficult" by Carl E. Linderholm (1972).
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  1125. Even people with learning disabilities can learn math well enough, especially if they have the right help. Some get labeled as being learning disabled just because they have one or a few psychological weaknesses, and they may or may not discover that they have other strengths. And some weaknesses can still be remedied. It might be a different story if we're forced into a competition for scholarships or jobs, but life itself doesn't have to be competitive, nor does math. The best person to compete with is yourself!
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  1126. You have the 2nd ed. The 1st is 1953, and the 2nd is 1964. The current edition is the 3rd. I met Rudin and his wife back in 1986 when I was in grad school. He gave a talk on multivariable complex analysis. The lecture was really lost on me, but I did get him to sign my "baby rudin".
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  1127. I would agree that calculus II is difficult, but I had a harder time with calculus III. The tripple integrals and the div, curl, grad stuff, along with Stroke's Theorem were pretty bad. Cylindrical and spherical coordinates along with surface and volume integrals... Let's not forget the Jacobian determinant for change of coordinates.
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  1128. I’m a simple person. I see new Math Sorcerer content, stop my math “homework”, and start watching.
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  1129. The absolute unit of a professor who taught my Calc 1, Calc 2 and DE classes struck the perfect balance between everything you just said and making people learn. Absolute legend. You might know him?
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  1130. The best YouTube channel for me. You know I'm 54 and started loving mathematics thanks to you videos. I bought some books to start working on mathematics with my kids. Thanks a lot for sharing.
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  1131. I had the original Thomas Calculus and Analytic Geometry at Cal Berkeley in 1972; it was an excellent book, hard to imagine a better version.
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  1132. I'm an adult student, and I'd like to thank you and Professor Leonard. the both of you have been indispensable in learning Calculus....thanks so much for this!
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  1133. Few months ago in an interview (forget which channel) a Fidelity analyst mentioned two types of best-performing accounts there: (1) owner deceased, and (2) abandoned accounts. Food for thought 🙂
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  1134. My grandfather was an electrical engineer. He was born in 1889, went to Tufts, and worked for ConEd. Pretty good for a turn of that century farm boy from New Hampshire.
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  1135. MATLAB by Amos Gilat might be an interesting place to start as a computer science major. It is a combination of math and computer science. It obviously requires MATLAB, but the math isn't that difficult. Having a math program will help you check math problems in the future and you will be able to create nice plots and graphs. Visualizing math through computer programs really helped me learn.
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  1136. In Germany our math professor is Like: „Feel free to copy the model solutions of the exercises last year. You only have to ask you friends in the higher semesters who still have the pdf's“
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  1137. Read it over 10+ times still there's something new I learn everytime I read it
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  1138. Sir you reflect 100% of the light
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  1139. I genuinely wish i had a teacher like this who didn't make me feel stupid for being stuck. Maybe I would've grown up actually liking math.
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  1140. "The trend is your friend... until it ends." -famous saying
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  1141. 5:06 "In the long run you're guaranteed to be a winner (mathematically)" - I cannot help but to throw in the St. Petersburg Paradox at this point: Flip a coin, if heads flip again, if tails break and get payout of 2^n $ (where n is the number of coin tosses you had). Now this game has an expected value of infinite, but you are going to have to play an enormous amount of time to get this (or even just a positive, assuming you pay for playing) outcome - you are probably going to be ruined before you get the big gain....
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  1142. I actually laughed my butt off when you said that you weren't going to sniff the book because a subscriber mentioned that it could be poisonous, and in fact you checked it out, looked into it, and found out that it was indeed true that older books could have a poisonous odor... and then you sniffed it anyways lmao. Great video. Taking Calc 2 at the moment, this stuff is hard!
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  1143. "The bottom score was 2% and we all know who that was." entire class looks at me
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  1144. I don't mean to offend: I used to think your videos are so cliché. but I was wrong. I love your positivity, you are so motivating and it's good to have those reminders to stay motivated and set on my goals every once in a while. thanks for doing what you are doing :)
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  1145. This came at the perfect time. Thanks
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  1146. youtube really working overtime with these video recommendations
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  1147. Waited for this video 30 years 😂
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  1148. Thank you for your real takes. It's nice to watch and get pointers from someone who is not pretentious and and totally passionate. ❤ Great channel.
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  1149. it will probably take me years before this whole analysis course make sense
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  1150. YOUR TEACHING SKILLS !!!! >>>> Oh my word, I have never seen a college math professor explain ANYTHING on this level. It's beautiful. The way you wrote down y^6 = (u^(-1/5))^6 to help your student. The fact that you question yourself as you're doing it rather than answer condescendingly to questions. YOU. You, my friend, are a true sorcerer.
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  1151. Sometimes I beat myself up about not being a perfect student, especially with coronavirus and online learning now, thinking I'm gonna have to settle for a fast food career, so it's really reassuring to hear you in one scene talk about having to drop a course cause it's too hard, and in the next scene talk about teaching math in college.
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  1152. I started math a few months ago age 34. Realised computer science / programming wasn't for me because all I thought about were the ideals and what is really going on. I was put off by 'arithmetic' and the presentation of math in school, it lacked all the wonder and why's, it was just 'here's a thing, learn it off and do it'. I started getting a taste for the higher math by watching videos / lectures online and it all became more interesting, actually getting to the bedrock and exploring fundamental problems. I'm not sure what I'm going to do but it's like you can travel the actual universe without moving from your seat.
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  1153. People experience pain when they go through a break up. I experience a heartache when I don't understand something in a math book. Thanks for this video, professor!
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  1154. You are my inspiration for again studying maths at 27
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  1155. I like these videos because they give me ideas about what authors and books to buy. Such as Robert Blitzer and the James Steward books. So I'll definitely try to watch this video. I actually prefer books that have a little bit of everything kind of math. I haven't yet started a precalculus book, but I'll probably like it for that reason.
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  1156. Choosing to go back to school when I was 34 and finish my degree was the scariest thing and the most rewarding thing I've ever done. I ended up with two bachelor's degrees, one in applied mathematics and one in physics. I'm now working on my dissertation on Fuchsian groups (my first love is applied mathematics and operations research, but for some reason, SL(2,R) and its projections into the hyperbolic plane absolutely fascinate me and I'm trying to make a physical 3-dimensional model) for my master's in mathematics. It's hard, and there have been days where I've wanted to cry and give up, but my professors kick me in the butt and cheer me on simultaneously and I am always grateful for their support and prodding in equal measure.
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  1157. Our fear is really big, strong enemy of each of us. Tnx
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  1158. I can relate to this. Just finished the first semester of math grad school, and it takes some time and effort to get comfortable with all the analysis and proofs. Looking back now on this past half year, ive learned so much. Im going to work on functional analysis and PDEs :)
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  1159. You have inspired me to study math as a recreation. Your advices are always useful.
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  1160. Having watched this video I understood how different the western and post-soviet education systems are. In my university every professor knows most of the students cheat. Every student knows everyone else is cheating. Ratting someone out is a taboo because chances (of course) are you are a cheater as well. Professors turn a blind eye on this because they know 95% of the students just don't give a shit about their subject and pay money just to formally get through the education process. But they all value those 5% of dedicated students who visit lectures, pay attention and ask questions, however stupid those questions might be. One of my favorite professors said something like this (crudely translated from russian): "I'll put it straight for you right away so there's no confusion: I know you all will be cheating, so just try not to get the highest scores, alright?" And my philosophy professor just let everyone bring their lecture notebooks to the exam because he knew we weren't (and couldn't possibly be) ready for it. He knew that mental capabilities of first-year students weren't nearly enough for what the curriculum set for us.
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  1161. Everything on the cutting edge fringes is equally as hard.
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  1162. I'm excited for this! We need more higher level math tutorials/lectures
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  1163. Being a mathematician sounds lonely. I can't name any friends who actually understand math or find it interesting. It's just that tedious subject they try to get over with and forget about. Everything you say is true though. Gotta live and breathe math. It's like playing an instrument.
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  1164. I'm learning Derivatives using Larson Calculus now. I'll learn physics using Giancoli. Both the books are your suggestions.
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  1165. Mir Publishers also put out a series of booklets, written by outstanding Soviet mathematicians, meant for talented high school students and teachers under the title: Little Mathematics Library. Some of the titles (and there was many) are: The Euler Characteristics by Shashkin; The Method of Mathematical Induction by Sominsky; The Monte Carlo Method by Sobol; Godel's Incompletness Theorem by Uspensky; and so on...lots and lots of titles. They all have Problems and hints and solutions and a bibliography. I learned a ton of math from these little booklets. They cost pennies in my old country and they were very much appreciated unlike the money-grubbing publishers of today (we all know who they are).
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  1166. Hey Math Sorcerer, how about you come up with a proof writing series where you take randomly some problems from those books you just mentioned and break them down in a "explain like I'm five" manner so you can fill that hole on Youtube? It would be so so great especially with you explaining the problems! Think about it and leave a comment on how this sounds. As always keep up the great videos! Love you and your work!
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  1167. I’m 52 and about to carryon with my stem degree (focussing on pure maths), and loving it!
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  1168. The openstax textbooks are okay, but most importantly they are free. That is how I got started with Algebra, Trig, and Calc I-II
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  1169. When I was doing math in school there was no internet. Practice, practice, practice. The calculators I worked with were the TI59 and the HP41. I still can use a slide rule. That being said, calculators were used only at the end of working a problem. You had to know what you were doing. Now that I'm retired, I do math for enjoyment.
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  1170. Lil bro read so many maths books, his eyes turned golden. Bro ascended mortal status
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  1171. Pure Mathematics has it's own beauty. However, as an applied mathematics enthusiast, I have an inclination towards physics as well, including astronomy and space science.
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  1172. I am 50 years old!!! It would have been nice if someone had told me this 35 years ago!!!!! You NAILED it!! If you are between 17 and 21. PLEASE, PLEASE, PLEASE don't waste TIME!!! Time passes SWIFTLY. Trust me, I know what I am talking about!! Thank you Dr. Sorcerer.
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  1173.  @TheMathSorcerer  so you're like Scarface? Just kidding. You should do a video telling your story. I got a few glimpses from other videos and it really looks interesting.
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  1174. When you said "this is where I started, I took a combined course" that resonated with me. I sucked at math after highschool. I went to university at started from the very very beginning. Now I'm a math teacher.
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  1175. *integrates* *Ends the world*
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  1176. Taking notes on what you have read (including the example problems), and then practicing the problems in the book, is extremely helpful in retaining what you have learned. The next day, review the same problems by reworking them. Hopefully this strategy is helpful. Best wishes for your math endeavors.
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  1177. Finally found a short simple and easy way to understand this, thank you.
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  1178. I totally agree with your assessment. To add to it, when I was in graduate school working on my master's in Math, the most time I would spend on an exercise or proof for homework was 4 hours. If I couldn't solve the problem in 4 hours that was it. I did what I could and moved on. Sometimes in the class the professor would say something like, "Oh, by the way, on problem #3, f'(x) is suppose to be continuous in the proof." "Left that out, sorry." Or there was a typo or something.
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  1179. Logic is a great starter to the math in computer Science, logic gates, truth tables, graphs and relations moving onto First Order Logic and Ehrenfeucht–Fraïssé games, predicate logic and so forth, very confusing at first especially the notation but is an interesting topic. Linear Algebra is also a big area concerning computer science and the backbone of computer graphics and more. I am finishing off my first year at university studying Mathematics and Computer Science and I can say it’s the best decision I’ve made. It’s amazing to see many people start learning it later in life. Good luck.
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  1180. For me it was learning advanced statistics in order to get professional certifications. I had plenty of study material and sample problems, but what really helped was my wife's ancient college textbook that actually explained the concepts I needed to understand. Then I just worked sample problems for hundreds of hours until I got to the point where I just KNEW what equations to use and why. Once I got to that point taking the certification exams was easy.
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  1181. I had a discrete math class once, where the original professor had to back out of teaching the class at the last minute. The school scrambled to find a replacement, and as of the first night of class we had no instructor when we arrived in the room. 15 minutes later a guy rocks up and says "I am the replacement instructor. My major was Physics, so I have had this math before, but I haven't looked at any of this stuff in 45 years. So basically, I'll be learning it right along with you guys." Needless to say, it was not the most enlightening class.
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  1182. doing rigorous mathematics with classical music in the background is the most therapeutic activity
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  1183. Awesome! I’m 45 and started about 4 years ago....passed the actuary as my ‘final’ for a math degree and am seeing how far the wormhole goes😜🤩🤯 thanks for what you do....gotta love da mafs!🎓😍😎
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  1184. I struggled in calculus because I never had a real world example of calculus. In my opinion, find an example which has meaning to you, study the example enough to get familiar with it. Understanding the application of calculus will help you understand the value of the mathematics and motivate you to learn.
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  1185. What a time to be alive!!!!!!!!!
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  1186. I have SO much respect for anyone who has had a fear of, or bad experience with mathematics, and tackles it anyway! 🦁👍😎
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  1187. As an electrical engineering system in the Cal State system here’s our math curriculum: • Calc I • Calc II • Calc III • Differential Equations • Linear Algebra • Probability, Statistics, and Stochastic Modeling
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  1188. I discovered self study very late but one thing that I immediately noticed is that you shouldn't read book on a pdf on a screen it will tire you eyes and brain I swear. The pleasure to have a book in your hands is something. And your eyes won't get tired as much as on a screen. I even bought books that I already had in pdf
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  1189. As somebody that went back to school seven years after high school, I cannot emphasize enough that algebra is the language that every math and science course you will ever take is taught in. I’m a math major currently applying to grad school for math and I did not know much math at all when I started college. I don’t say this to scare anybody, rather I say it with full encouragement intended: one of the most important things I have ever done as an adult was learn college algebra.
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  1190. Wow!
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  1191. I think people don't have a growth mindset, failing is not bad, actually it's good and can motivate you to improve.
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  1192. I have discovered a truly marvelous proof of this, which this comment section is too narrow to contain.
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  1193. “You can’t use up creativity. The more you use, the more you have “
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  1194. First- lower the camera just a smidgen more. It feels like you're talking to us over a bookshelf. Second, cool library; looks like you have A LOT of Modern Library books.
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  1195. Thank you SO much. My math teacher isn’t bad, but it scares me so much when I have homework that he has yet to explain in how to solve, and this was a real life saver. THANK YOU!!!
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  1196. this man has "math hair" and it's glorious
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  1197. This video is solid gold. You have inspired me so much. I am working with “A Graphical approach to Algebra and Trigonometry” and I’m getting addicted to it! 🤣🤣 By the way, I have joined your Calculus 1 in Udemy. I am really looking forward to jump into it.
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  1198. If you have a picture memory, upgrade also to a printer hand: take notes!
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  1199. What I've learned from Dotson, is that professors actually like to hear when the book tortures you and you can't figure it out. Either sadistically to laugh at you for your incompetence, or to helpfully guide you during office hours to an easy approach. Hopefully the later and not the former, but the former happens way too often.
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  1200. My view: most of math teachings in secondary math education are based on drilling math problems, by skimming the understanding of the underlying concepts. One of drawbacks out of it is the lack of cognitive ability skill to process math concepts at College level. Drilling math is a routine based computation skill, but digesting and understanding math concepts is more challenging, it requires more cognitive effort. The 2 must be developed at the same time to increase the pace of learning math in College.
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  1201. The part about others not as interested in your dream is so true. I used to say i wanted to be an astronaut when i grow up. This video has revived that dream.
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  1202. You gave me passion to study mathematics from the start, thank you!
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  1203. Mathematical statistics (a rigorous/proof-based sequel to a standard undergraduate course in statistics/probability) was the HARDEST class I took throughout my entire math undergrad.
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  1204. Both Sullivan and Stewart Precalculus actually do have some challenging exercises, even though most are just plug and chug or routine.
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  1205. These are all great points. However, another point I would like to add into this list is that, if possible, you should be practical and try to pursue something within a niche in which you have less barriers to entry in becoming an expert at. I say this because finances and life situations are very real indicators of how you will be able to pursue your goals and dreams. In my own life, I went through my undergraduate years passionate about mathematical physics and studied all the way up to algebraic geometry and string theory to prepare for a research career. Sparing all the details about my life story, I came to a point where my situation dictated that it was impossible to get into a phd program. Long story short, I pivoted into a career where I became an expert in a niche subtopic (did everything that was in this video!) that makes use of my mathematical background, and it has been the best decision of my life. I share this here because I started watching this channel with both joy and trepidation as I graduated from my undergrad math career. 3 years later and I feel like I've made the right choice to pursue my career because, as I continue to further my career and make wise financial decisions, I now have the option to go back to graduate school in the future and continue my paused dreams, or continue on in my career. So to anyone watching, making a decision on what to pursue in the future, please take notes from this video because these are all the steps you really need to become an expert in something, but also try to be practical with the path you choose and be open to opportunities that are not in your immediate sight!
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  1206. I hate how they teach decimal subtraction as a kid I mean its logically more accurate but just doing mental subtraction and increasing that "muscle" is more important but I guess when things get complicated you have to know the "proof"
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  1207. So math sorcerer will math get me out of this simulation.
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  1208. This book seems like a bridge to an intro Analysis course. I purchased it to start learning Analysis while keeping my computational Calc skills sharp
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  1209. I am nearly 63 years and keen on resuming my study of mathematics which I enjoyed in High School. I have reviewed precalculus - algebra/trigonometry, then limits and now starting calculus again - not easy, but I think persistence is key - just don't give up. If one avenue/text is not working out for you then look for an alternative. Simply never give up!
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  1210. The most important feature of Apostol’s exposition is that it starts with INTEGRAL calculus BEFORE differential calculus. Courant also did that in his books and I think that is the way to go.
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  1211. I wonder if the Math Sorcerer puts League of Legends themed questions on his exams...
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  1212. The best thing I was forced to learn in Trig, which helped in a lot of other classes, was to memorize the unit circle. That circle is the basis for so many things.
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  1213. As a tutor, I had students as old as 70 years old. And I'm talking about a lesson on differential equations. I taught them concepts like a kernel of second-order differential equations. And I had no problems.
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  1214. This should be renamed as “things every math student wished their math teacher would say“
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  1215. I love all the gentle flickering tea lights on the bookshelves in the background with the large cylinder candle at the forefront... 😍 It's sooo relaxing! 😌😪😴
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  1216. I’m a Middle School Math Teacher at a teeny tiny school. Your videos are inspirational and often give me super ideas to share with my students to keep us motivated to learn, grow, and build life-skills thru our Adventures in Learning Mathematics! Thank you for your dedication to sharing your craft. Aloha E🏝
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  1217. The instant I saw that book cover design, my mind flashed back to the original Knuth books that I still own.
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  1218. Fear of failing. Be easier if we knew our foot was in the door. You seem like a good person. Anyone should be proud to have you in their life. Thanks for sharing.
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  1219. I collect financial books myself ranging from accountant, management, economics, investments, and technical analysis that all show math formulas. Technical Analysis is 100% mathematics. My favorite technical analysis book is Fibonacci and Gann’s Theory.
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  1220. ME BEING A GOOD BOI GIVES ME EXTRA CREDIT!
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  1221. I agree completely concerning videos. I find that with most videos, my mind can't keep up with the presented content. By the time I've understood a concept, the presentation has jumped too far ahead to keep up. With a book, I can proceed at my own speed and both understand and reinforce concepts. I know that I'm a dinosaur, but being an "old" math major, I still have a love for the chalkboard.
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  1222. i found a PDF copy of this textbook through a google search. thanks for pointing this book out. love the old texts that are packed with problems and guided examples.
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  1223. As much as I agree with the idea that math will greatly improve your critical thinking, I think there is a much better explanation that can be said, especially for those who have studied discrete math and analysis. People (even mathematicians) often forget that mathematics is a branch of logic and philosophy. At its core it is the very definition of finding truths using well known methods and learning how to think creatively and be clever Highschool maths like algebra don't touch on this, and because of this I don't think people truly understand why mathematics is so important for critical thinking. Edit: Grammar
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  1224. As someone who's repeating their first year in their math major (and someone who's slowly getting the hang of coming up with proofs) I would say that most of the tips I would've given to myself two years ago are things that you have already said: understand the definitions (this was something important to me, since I thought I understood them at first glance when it wasn't the case), look up previous things that have been mentioned before, such as theorems, propositions and definitions and apply them to your problem and reflect on the solution that are already given (or the one you just came up with.) Another thing I would have told myself (similar as looking up the solutions to proofs and summarizing them in your own words) is to look up and also summarize the proofs given in the books you're reading. This will give you a feeling on how proofs should be written, when can certain proof techniques be used and also keep your thoughts organized when it comes to a specific problem. Finally, sometimes the issue I had in not being able to solve a problem is that I wouldn't even understand what the problem was (as in, I didn't understand what exactly it was that I wanted to prove.) What I had to do in order to get over this hurdle was to relearn the habit of writing down what I already knew about the topic of the problem and the goal I wanted to achieve solving this problem (regarding definitions, propositions, etc. Sometimes I write these using the logical quantifiers and symbols to get an overview of the problem.) This habit now helps me get hints on how to solve a specific problem and it's also something my high school physics teacher was very adamant on so we could solve physics problems easily (these would mostly involve equations and numbers instead of definitions and concepts, but I have to say that in the end the results are similar in regards to developing problem-solving abilities.) I hope these tips are helpful!!
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  1225. I legitimately had a Karen teacher, that teached wrong how to solve a formula in lineal algebra, and in the test his assistant put and did that exercise correctly and most of the students got wrong neither the points, except for some that had seen the book how to do it correctly(I was lucky that I never payed attention in her classand just look books), she didnt apologize
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  1226. Baloney! When it comes to mathematics... I always use a pencil. Unless you're perfect (which no one is) stick with a pencil or be prepared to scratch out a lot of mistakes. I'm a professional engineer (BSME and MSFPE)... I have the Mechanical Engineering version of the Lindebergh manual. I think I have a Civil Engineering version as well. They are great reference books.
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  1227. literally i was crying a few minutes ago because i couldn't do my analysis exercise sheet. You are the best teacher on youtube thank you so much, may god bless you have a beautiful day
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  1228. “Let’s go through the algebra for these integrals and derivatives just to be thorough, wouldn’t want anyone getting lost just by assuming that “you should all know this by now.”
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  1229. I learned how to program using this book and it really teaches you the core principles you need. I own the more modern version that uses JavaScript instead of Lisp but the Lisp edition is immortal.
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  1230. Just a few months ago I started my math journey from scratch at 23, my dream is to be a physicist one day, after I discovered I actually like math despite failing in highschool. I just finished grade 10 math in the mid 90% range and am on to grade 11, thanks for uploading these videos, they inspire me to keep going even when I feel like im way too behind everyone else, and they give me great advice for the future. Thanks again
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  1231. Keeping a positive mind is crucial in mathematics. Don't let your failure force you to give up mathematics. Failure is just a part of process to better.
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  1232. the heavy breathing the teacher does while reading the paper is underrated
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  1233. As a calculus 2 student I learned there’s no way to get around the memorization of those trig identities and special angle values! They’re incredibly useful for calculus
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  1234. You are never old for learning,just believe in yourself
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  1235. this guy teaches you hardcore calc 3 problems and also how to live a great and healthy life, truly inspirational. When I grow up I want to be like you sir, great stuff!.
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  1236. You're the reason I considered writing a hard mathematics exam and oh boy am i grateful, i did not just pass the exam but got placed in the top 2 students, i really appreciate these videos
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  1237. I love the Dover Books on Math. After I graduated, I thought I would just keep studying math, so I bought myself a handful of them. I never did have the time or motivation once I started working full time and had a super long commute. I really wish upper division math books had answers and solutions to all the problems though. That would have helped. I had 1 semester of real analysis and tried to self study the 2nd half, but when you write a proof and aren't sure if the logic follows and can't see the solution, it is really frustrating and demotivating.
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  1238. Heraclitus told us 2500 years ago that you can't step into the same river twice. There is no proof that the past valuations of a stock will resemble future ones. The factors that caused the prices in the past are "water under the bridge" and the river ahead is not seen with perfect clarity. Stock prices fluctuate for many reasons and a stock could be a good or bad investment until it isn't usually because of some new or changing condition.
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  1239. I bought a copy in 1983 or 1984 in India ! Brings back memories of wonderfully cheap and well-written books.
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  1240. Reading is not just enough". Take the action! Put your newfound knowledge to use. I read for a long time but action made my life change in no time ( generally and mostly financially) That's my two cents on this!!
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  1241. I think adaptability is the most important skill in your list. I also like how you included emotional intelligence because I think people don't talk about that enough. REALLY great video 🙌
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  1242. One thing that might help is to examine what went wrong when you get the wrong answer. It helps clarify the mistake and Corrects the thinking process.
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  1243. I failed Calculus 2 as a Physics major, but decided to get back up and retake the class. I’m now a third year MechE PhD candidate. Don’t give up.
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  1244. This book was published when Riemann was still in his 20s. Amazing!
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  1245. But how can you call yourself a mathematician if you don't refer to every problem as trivial or obvious?
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  1246. Another tip: If you have time, you can start 1 or 2 months earlier self-studying the subject in your home 1 or 2 (or more) hours p/day. That way you don't have so many burnouts. Works for me.
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  1247. Hey man this is I believe the second video I’ve watched of yours and I just want to say as a 19 year old struggling to figure out the equation of living a good life I can’t put into words how thankful I am of the person you are and the teachings you give, I love these videos you’re awesome man
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  1248. My advice is when studying hard it is important also to: - Eat healthily, Do at least an hours exercise a day ( preferably out in the fresh air and sunlight (depending on heat and strength of the sun), Socialise for at least 30 minutes and break studying into chunks or subjects. Have small breaks in between, make sure you are hydrated and be proud of yourself when you successfully complete a subject. Other factors include having clean organised surroundings and sometimes having classical music quietly playing in the background and using colours and scents. These last few things help with strengthenng the neural pathways. Also revision does that too.
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  1249. i pushed myself too much and ended up not learning what i needed to learn. i needed to learn algebra. i ended up learning trigonometry and calculus. you should make sure you do what you pushed yourself to do..
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  1250. "I can smell the mathematics"😭😭😭😭😭
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  1251. Had the same experience in grade 8. Some “counsellor” who didn’t even know me recommended I get bumped to low level math, which was near impossible to get out of. Now at 42 teaching myself what was in a way stolen from me. Currently working up to calculus.
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  1252. I think a problem in the beginning of doing math often is that the "mechanics of proofs" is not known. One might be good in logical thinking but not know the formal logics needed to write down a proof. Or one might be overwhelmed by the strange, unusual language that is used in mathematics. Or by accident you don't read enough in detail, or you tend to add something that has not been written in an exercise. So, before jumping in and might possibly drown, you should read Kevin Houston's 'How to think like a Mathematician'. That's of course much more beginners than what was presented here. But I think it's crucial to teach the raw basics - the craft that is neded, before any artistry can appear (if it does at all).
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  1253. The biggest reason why students aren’t doing well in math is because they don’t reason with logic. A lot of people just memorize steps without connecting concepts or understanding how or why things work out in the way they do in math. These students could only do problems that’s identical to the examples that’s shown to them and then they look for nonsensical patterns in numbers. These 5 reasons do play a role, yes but it’s the apathy for logic before anything else.
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  1254. For me, calculus I was the hardest since it was a change in my way of thinking about math. Calculus II was my favorite math class and was the class that made me change my minor to math (I'm a Geology major). For some reason I found the sections over infinite series to be very intuitive for me. I was always "bad at math" and had a great deal of anxiety over taking any calculus class. I fortunately had some great professors and discovered I wasn't actually bad a math, I just had not found the right way to study for it. I do find the hardest part about calculus isn't the actual calculus, but the rather messy algebra that can come along with it all. If you see this comment and are about to begin a calculus class, here's some advice... Practice and understand how equations relate to their graphical illustrations and really know how to factor polynomials. Get the basics down and do not underestimate how much your algebra skills will help in subsequent classes. If you have to take Calculus III, pay close attention to vectors and really learn your unit circle (this really applies to all calculus classes).
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  1255. Since you were pretty shocked by the contents of the exam, I guess it's probably because you are a pure mathematician and don't really know that all of its contents were pretty thoroughly covered during my first year as an engineering student, aside from the spherical coordinate problems. I wouldn't be surprised if these questions were the final exam on a class called "Strength of Materials," which I took in my freshman year's second semester, which I know for a fact covered all of the last seven questions' material... although thinking back on it, that class would have had more fiendish versions of them honestly. Plus, the steps of the questions actually really help you answer them. What you described as "if you mess up early you're screwed for the rest of the problem" is actually just that the first subquestions walk you through the steps in order to find what the final problem is. tl;dr this isn't a math exam it's a beginner-level engineering exam.
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  1256. Student: So, how much math do I need? Graduate program: Yes.
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  1257. Before you go. What is 2+2?
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  1258. "Please Return" that's what was written at the beginning.
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  1259. I am sure that the soul of late Serge Lang is both delighted and flattered by your video. This is the way to honour the dead by remembering them and talking about them, respectfully. In my belief, most deceased souls pick up fans' thoughts from afar, no matter the distance.
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  1260. I'm 28 and recently started Mathematics in college. Never felt too old when you what you love :)
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  1261. When I was starting off maths I primarily self studied and used Thomas calculus and it had EVERYTHING i could possibly want. That and book of proof by hammock really kick-started my passion. Love this
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  1262. Holy moly I thought this was going somewhere else. Glad it wasn't
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  1263. Do mindfulness daily…focus on your goal..I failed math in high school…now I got all A in Calculus 1, 2, 3, Linear Algebra, DE…As well as physics classes…what you put in, what you get out…self-discipline…self-care are important…Good luck…
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  1264. I'm glad there are people like this putting their work online and speaking in more easily understood terms than the text.
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  1265. This was good to hear, even though it doesn't complete my Real Analysis assignment for me. Thank you for putting this out into the world
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  1266. Engineering weedout courses: Trig Calc II Statics Physics II Dynamics Vibrations Numerical Methods Thermodynamics Fluids Spanish II
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  1267. I studied math for a while at university, but quickly learned that learning just for the sake of it just isn't my thing. As a mathematician, you really need this special kind of mindset, not caring if what you are doing is actually useful or not. It might be some day, but not necessarily today or even within your lifespan. That's why people like me end up in computer science and electrical engineering 😝
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  1268. In India we have to do this questions at 17 ⚰🗿
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  1269. When you're struggling, remember that it's only temporary. You can get through it no matter what. Just have faith that things will turn out out for the better.
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  1270. mathematical programming now has grown to become haskell. Dragon-level terror
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  1271. The most annoying part of studying math is that You have to read practice and rivise until it becomes normal to you or other ways You will instantly forget what you learnt
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  1272. Math Sorcerer, did it ever occur to you to lose motivation for studying? And if it did, how did you manage to get back on the track? P.S. Thank you for your videos, you are being a huge inspiration for all of us.
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  1273. As someone who has some instruction experience now, I think the "people do better after doing this" operates under the assumption of "the assignments/exams are well-designed". I think a good future video topic would be how to design good math assignments at all levels :)
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  1274. I’ve always struggled with math but you inspired me to start learning how to write proofs. The book is written by Ted Sundstrom. It’s tough but I’m pushing through it. I’m also preparing for my up and coming trigonometry and precalculus course, along with a stats course. I’m nervous and excited at the same time. Thank you for inspiring me to work through it and get better day by day.
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  1275. I started doing better in math and enjoying it when I decided to stop caring about my grades as much and to study for understanding and personal interest; an increase in my academic performance followed effortlessly. The biggest problem that I see is that people take with them into higher level math classes the mindset they learned in lower level math classes. Most people don't like math (their loss), but everyone has to learn some math (and I roll my eyes when I think about the gulf between what I learned as a math major compared to what people who had to pass college algebra complain about), and since they don't want to be there, they just ape the examples on the tests and hope to get a good enough grade to pass. People don't actually read their math books, and they certainly never look at other books or resources that aren't strictly required. They sit like zombies in their classes, use the examples in the book as a template for the homework, and then hope it works on the tests. They don't learn anything because they are only focused on passing. They view math as some kind of sausage grinder where all that matters is producing the correct answer to a math problem. I really hate that view of math. The truth is that most math problems were cooked up for math exams and math homework and they are arbitrary and meaningless and so are their answers. Instead, we need a holistic approach that incorporates history and culture and a treatment of ideas and the development of math and what problems it was able to solve historically. I'm guessing people would be far more interested in that approach than grinding their way through a worksheet of contrived problems for the sake of contrived problems. I do not share a Lockhartian view, and do not find beauty in math for its own sake, and take a view more akin to Morris Kline. I find math beautiful because of the power it gives us to understand our world and our limited existence.
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  1276. I recently got into the YouTube financial niche, and I’ve taken a deep dive into trading. Particularly, day trading as it interests me. I have tried multiple methods to build my portfolio in the past. So far I’m making progress with expert help. Back to the video, wonderful job there.
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  1277. give this man a bigger whiteboard, jesus. good stuff!
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  1278. I also have a GED. Community college was fantastic for me. Started in pre algebra now I'm a engineer and thinking about getting a masters in mathematics.
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  1279. No matter what our propaganda said, Russia always had amazing mathematicians and damn well educated Engineers, second to none!
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  1280. You touched on something key: If someone explains something enough times eventually the explainee will tell the explainer "I understand" even if they don't. That has to stop. Students need the courage to say "NO, it's still not sinking in." & Teachers also need to recognize blank stares and say "I don't think you guys get it. Let's try it a different way." My Calculus1 teacher was awesome and he was GREAT at this!! He would recognize our blank expressions and do it again differently. Then we would nod and say "oooh NOW we get it" and he knew some of us were lying, we still didn't get it, so he looked to see who had an "a-ha face" and who didn't!! That great man would ask each student in class, 1 by 1 until we ALL got it: "Saul, do you get it?" "Maria, how about you?" "I know Pete doesn't get it." "Ali, explain it to Pete." "Ahmed you explain it to me; repeat what I said. Everyone except Pete & Ali listen to Ahmed!" After all that he would say: "those of you who still don't get it, its ok, its hard, so see me after class or email me, or work together with eachother, but we have to move on unfortunately." This was a great teacher and he joked and had a lot of patience and it was a really fun class too... a great group of students. I won't say the teachers name here, but I still remember him; he made that much of an impression on me.
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  1281. Real Analysis final is tomorrow. This brought a lot of clarity! Thank you.
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  1282. A lot of people have role models. But the 3 main reasons people fail is: 1. They don't go to every class. 2. They don't take concise notes. 3. They don't do the homework.
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  1283. One of my profs told me to talk to the theorems, and ask what they are telling me. In every theorem or definition, always ask "what is it all about? when can I use it?" I always have that reminder whenever I study. Also, whenever we study, we should always have paper and pen with us and try to solve and prove theorems with our own.
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  1284. so THIS is why my teacher in 6th grade made us do speed drills (we had 10 math problems and 60 seconds to do them) this makes a lot of sense lol
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  1285. I remember having a college mate, I dont know her age but she had wrinkles. She was a Math major taking a Chemistry class with me. She was probably more motivated than any of us. She seemed always excited to learn anything new, meanwhile we were half asleep in that 8 am class! I think when you get older and pursue a college degree, you’ll probably be more serious in your studies, and appreciate the privilege of receiving an education.
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  1286. I wish something like this existed for programming as well
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  1287. Between these, higher algebra by hall and knight, and the rudins, you really have some excellently rigorous math books! I got Lang's basic mathematics at your recommendation and I've never learned so much from so few examples. Older math books really hit you hard with the concepts in a way that can be daunting but rewarding for those with will and persistence! Thank you for the continued exposure to excellent math content and for bringing higher math out of the shadows so to speak. As someone who lacked early exposure to this material I deeply appreciate it!
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  1288. I studied calculus with Thomas, and it was literally great book. Personally I like Thomas more than Stewart.
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  1289. Surround yourself with intelligent people Find balance Never give up Become inspired
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  1290. I just grabbed a copy! I’m a few years away from being able to do Calculus, but I’m building my math library, realizing that text books are going the way of the dinosaur. THANK YOU for this channel! You keep me going on my math self-study!
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  1291. Algebra is key. Middle school is key for Math. Buy all the math you need for the middle school book.
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  1292. I await a future version of YouTube where videos can be accompanied by smells.
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  1293. I actually like that huge board....
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  1294. My school for example, has a special topics class in the fall which is just preparation for the putnam and other competitions for 1 credit hour. See if that is a resource option. It isn't advertised, so you need to ask your math advisor or look into it yourself. And on top of that, math clubs are usually a good source. We meet up and do math competition problems once a week and have fun doing it.
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  1295. My professor sends us youtube links now for lectures. So thank you for doing everyone else's job.
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  1296. I am in my late 50s now, but when I was in my mid to late 20s, in the late 1980s and very early 1990s, I was working at AT&T research labs on compilers. We were very heavily influenced by the authors of this book, and consulted with them often. You mentioned "three address code" in your review, which is a technique a colleague and I used to make a somewhat popular programming language more than twice as fast. Those were good days for sure.
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  1297. Ah yes uniform continuity. It's continuity but uniform.
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  1298. Ive always liked reading a section casually, and then going back in with the paper and pencil and doing a more careful reading. This way, you can kind of gain an intuition for whats going on before getting bogged down in all the details. But, do whatever works best, as long as you learn the material
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  1299. I realized that you need a structured and logical mind (but simple and flexible schedule as you mentioned), including a lot of patience and persistence. Also, you can feel bombarded with resources, but if you filter down to the greatest minds, it'll make your learning experience less complicated and more in-depth. For example, I didn't understand Calculus in high school. However, right after I bought "Calculus: An Intuitive and Physical Approach", by Morris Kline, and things just clicked. The same happened with understanding logic generally, where I was confused until I picked up "Introduction to Logic" by Patrick Suppes. Dover generally has a lot of great science and math resources. The best to you all!
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  1300. In Germany attendance is really not mandatory and indeed attendance is useless or at least not necessary...the first time I saw my abstract algebra preofessor was in the last session before the exam. I never saw the probability theory professor... An textbooks, hell no. We have internet.
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  1301. These are the steps I followed for the past painfully long 4 years, in order to study and learn German (especially German grammar) -- and it's finally paying off (reached B2). Had I not needed to work to stay alive, it would've taken me 1 or 2 years. Because unlike other languages, German requires you to study it like someone who has to study physics and chemistry textbooks AND actually do the practices, and majors in a STEM field, just to be able to effectively communicate. I'm not great at maths or sciences, so I know how boring they can be, however, learning German made me interested in sciences and maths. (I'm a softwaree developer by trade, so this also applies here too.) What seems impossible is often achievable through planned, hard work and endless boredom, and that's coming from someone who is passionate about foreign languages. And I'm far from a genius, just ask my friends and family. People say I'm smart for knowing different languages, but that's unfair, because it shadows over all the pain and hard work and sacrifices I had to make to get there. Work hard, and smart while equipped with curiosity to embrace the grind.
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  1302. I am currently taking Analysis in school and I have to deal with some of those problems.. I feel sorry for the Calculus 2 students who had to take this test. But good practice for me though.
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  1303. Hammering in messages like you have been since the start of the channel is what this generation needs. Relentless and consistent. Thank you!
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  1304. I literally met someone who yesterday that could use this video
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  1305. Nowadays C is primarily used for low-level programming such as kernels of operating systems or writing code for microcontrollers. In those domains, C is still the most frequently used programming language because it's incredibly fast and it is better prepared for low-level work with hardware than most other programming languages. But I would say that C is not very popular in other domains anymore. I would recommend learning C for everyone who wants to become a software developer even if one doesn't plan to use this language professionally because 1) when you know C, you start to much better understand computers due to the low-level nature of C; 2) C is a relatively compact programming language in comparison to such monstrosity as C++, for example, so learning C would not consume so much time and effort as learning C++. I particularly like "C Primer Plus" by Stephen Prata.
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  1306. The trouble with math(ematics) on the whole, is that "scalability" of the field has never been considered meaningfully. By "scalable", I mean that difficult elements of the field are not intentionally simplified for wider distribution of acceptance. Mathematics, as a culture, seems to have an inbuilt desire to maintain it's historical levels of unapproachable abstraction. The cultural behavior within Mathematics of naming methods and algorithms after the people who discover/invent them is a good example of dirty architecture presenting itself. It is very difficult to mnemonically comprehend systems if the nomenclature of the objects within the system is based on something which is completely disconnected from the conceptualization of what said object does/is/behaves/acts as/is related to/is for/etc. In my mind, Mathematicians aren't "elitists" exactly, but most of them just not clever/smart/wise/courageous enough to do the extra work of helping the beauty of what they perceive and play within to be transferred maximally to the rest of our human tribes. The exception to this previous statement is the guy behind 3Blue1Brown, he does a LOT of the extra work to de-abstract and refactor the concepts without losing any of the deeper modalities. 3Blue1Brown is the Carl Sagan and Richard Feynman of our time, at least in terms of being an interface between most of the human population and the abstract beauty of the deep realities of the universe.
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  1307. I think it was Isaac Newton that upon hitting an issue he didn't understand in his mathsbooks, he would re-read the book from scratch and re-read previous books until he eventually understood the problem he was faced with.
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  1308. English isn't your first language? Your Bio in my mind was "Born in California, moved to somewhere else in the states, started going on roadtrips"
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  1309. For me, I thought that Abstract Algebra and General Topology were the hardest. I found that the easiest (but not easy), and the most fun, was Complex Analysis.
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  1310. I used "Physical Fluid Dynamics" by D. J. Tritton as an Undergrad; it would be a good compliment to this book.
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  1311. This is literally the exact proof I was stuck on for an assignment. You're a lifesaver. Thank you.
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  1312. It is quite amazing how anyone born in this day and age, if they want to learn something, not just math ... absolutely anything, the sheer amount of information resources we have and the access to it because of how long civilisation has been in existence etc.
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  1313. Soviet math books are absolutely GEMS.
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  1314. Thanks I'm a mechanical engineer PhD and after I finish Im starting math over from algebra to grad probability for fun
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  1315. Respect C++
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  1316. Probably because students in other countries have a head start. In India, we do a lot of calculus in high school (11th and 12th grade). You need to take entrance exams to get into an engineering college for undergrad, which focuses a lot on calculus (for math). Same is true for physics (mechanics, thermodynamics, fluids, basic electrical) and chem (physical and organic). This helps with math you do in undergrad. Should also add, I went to grad school in the US and yes, like you mention, it evens out at grad school.
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  1317. I have never seen a person so enthusiastically and passionately talking about math. You really must be loving it! its really showing in your voice !
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  1318. I know this might get lost somewhere between a bunch of comments later on, but this video just showed up when i (probably) needed the most motivation. Soo... Thank you. I guess its like that saying/quote, you know? "A wizard is never late, nor is he early, he arrives precisely when he means (/needs) to."
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  1319. Not abstract algebra, but I wrote my first convincing proof today in LATEX! I went to all my friends not in the class and asked them to read it regardless of their feeling towards math.
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  1320. There was a guy who studied math 19 hours a day and actually got a lot out of it; Paul Erdt or some name like that. With colloboration, the guy pumped out over a thousand papers. He got a lot done. But there’s a lot of things he didn’t have because of that. Seemed to fulfill him though…
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  1321. one should also keep in mind "do you actually like doing mathematics? or do you just like the idea of you doing mathematics and being a mathematician?"
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  1322. For those of you work full time, like me, even though it is hard you should try and make progress every day. I work as a High School Math teacher and while I enjoy it, I spent too much time avoiding my other passion which is music. Fast forward ~10 years and I've just started writing music, talking with a mentor, and really trying to make it. Actually it is the happiest I have been in years, and while I know I won't be winning any awards, making progress towards something you care about is life changing. Start now, don't wait. Small steps are fine, but you've got to do something or it will always be nothing.
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  1323. "No I'm sorry, sir. It's not that kind of book"
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  1324. I cut my book collection in half once in the name of simplicity and have regretted it ever since. Never again!
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  1325. "the hardest undergraduate math class that a math major takes." So basically the hardest undergraduate class.
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  1326. Two reasons come to my mind, first we (I am from Iran) have a very highly competitive system to enter the universities. You have to compete with a million guys to study in a field that you like. We have no choice but to study very hard. I didn't pass the test, therefore I traveled to U.S. to study Electrical Engineering at University of Illinois @ Chicago Circle. Passing those pressure in Iran, U of I was like a heaven for me. Second reason the material that was arranged for us was huge. In tenth grade we studied Solid Geometry, Trigonometry, Analytic Geometry, Set & logic. In eleventh Statistics, Calculus, art of proof . In twelfth Discrete math (Number Theory, Combinatorics, Graph Theory & Probability), Linear Algebra & Analysis. One thing that I have to say is about the quality of American students. Most of them are excellent & fine plus creative & hard working , but their high school math textbooks are not that great. I suggest you look at India, Iran England & U.S. Math textbooks and compare it yourself.(all of them are available online). I think India's are the best, even their math videos & math video lectures are very fine. I know I am an engineer and should not mess with mathematicians. Wish the best.
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  1327. I believe in persistence.
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  1328. Have you heard of "A Friendly Introduction to Number Theory" By Silverman? That's the one I used and it was super readable with easy exercises. This one seems more sophisticated, though
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  1329. the problem with this is that many teachers think that students dont have life or responsabilites outside school
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  1330. I'm going to write a book about procrastination ... someday. Awesome channel man. Love the content. You have a great voice. Ever consider narrating books.
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  1331. My master's thesis is due in a few months and I have been away from maths for 1.5 years because of financial and psychological issues. I haven't got any thesis work done and have even forgotten most of the maths I knew. I'm feeling a lot better now and my financial issue has been taken care of. I can't wait to get back... I hope the break has helped... I'll let you know. I'll get back today or tomorrow.
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  1332. I'd say the most useful tip in mathematics is to never give up on yourself or the concept at hand, always continue to think about things, those concepts will make sense given enough time and effort.
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  1333. As someone who plans to teach k12 biology soon, I really enjoy your appreciation for textbooks. I too have a range of biology/chemistry textbooks that I absolutely love. There’s definitely something to say about the value of traditional, paper textbooks.
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  1334. It's not just IQ, it's also personality, habits, experience, motivation, teaching and learning ability.
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  1335. What I find interesting in the movie is that he had no idea how he knew everything, but simply the fact that he did.
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  1336. I'm from the Netherlands and what I noticed in the US it is hard to get IN a (good) university, here it is relatively easy to get in but quite difficult to STAY, as the programs can be quite rigorous.
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  1337. we need more philosophy content from the math sorcerer
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  1338. When Newton himself is teaching.
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  1339. lol :) To be fair, I haven't had a maths teacher in upper levels take marks off for an error with arithmetic. Also haven't gone without a teacher making at least one multiplication error in class per day. The numbers just don't matter as much as finding a solution. Maths people are nice people.
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  1340. Math Sorcerer expanding his math library lol
    60
  1341.  @TheMathSorcerer  I was told the full work is taking the VaR and TVaR of portfolios at different weights using past performances or Monte Carlo modeling using geometric Brownian motion.
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  1342. Ha, you are spot on about real analysis. I did my undergraduate work in the 70s in electrical engineering. Back in the day at this University, they basically had three undergraduate tracks in mathematics. One was for engineers (some of this was a lot of plug and chug), one for math majors, and one for Honors College students. So I was in Honors college and math was easy, right? In one of my calc classes, I was getting really hammered. The other engineering classes I was taking were basically applied mathematics. So I was going under in this one math class. I went to talk to the prof about dropping out of his class because I didn’t think I could cut it. He was an exceptional teacher and explained to me his story. He was also an electrical engineering student as an undergrad. When he graduated, he said he really didn’t understand what a derivative was, or an integral. So he went to graduate school and took a year of real analysis. He said it was like Marine boot camp. He got in to it so much, he changed his major to mathematics and became a prof. To make a long story short, I stayed in his class and he really took the time to help me out. I ended up going to graduate school and got a PhD in mathematics, Not! Stayed in electrical engineering. But I always remembered that one math prof. Yes, real analysis is hard for everybody. Have you checked out the book by Jay Cummings, Real Analysis, 2nd Edition? A little slower paced than Rudin and others.
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  1343. The hardest thing for me was seeing people who weren't math majors who were still better at math than I was. A lot of those physics majors are better than me at derivations and proofs, and that was hard to take, because I'm not great at physics.
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  1344. I love the idea of studying math for a long period of time. For example I ideally wanna learn math 4-5 hours a day spread out so its not overwhelming. However, when it comes to actually doing it, my mind starts thinking about random things and I cant focus. I think about playing games, I think about all the responsibilities I have, but I cannot focus on studying anything for more than 20 mins. during your college journey, how did you resists these temptations and stayed true to yourself and focus?
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  1345. Great advice. After being out of math studies for ~ 25 years, I got a B in a real analysis last semester precisely because I was not prepared enough for the timed exams. Starting early, rereading notes SOON after class ends, possibly rewriting notes, and doing and redoing all homework problems will give a student at any age the best chance at the best grades with no regrets later. I blew the A because I was not ready for the final exam. I have regrets because the A was there for the taking. Next semester starts next week, and I intend to follow this advice. Thanks for this important video. It came at a nice time.
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  1346. *casually flexes superior Spanish skills
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  1347. Coming home late, watching this video was just what I needed. I set a goal several years ago, but things just keep getting in the way. Time to stop making excuses and get with it. The goal is clear: re-learn and learn enough calculus, differential equations, and vector math so that I can truly understand and appreciate both Maxwell's equations and celestial mechanics. Will takes years, so I need to get back on track!
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  1348. I’m 40 as well. I’m going back to school to get a Physics degree with a minor in applied mathematics. I never obtained a bachelors so I have to start almost from scratch. It’s been a challenge. I’ve forgotten a lot of things. I’m facing the challenge head on. I’m comforted that I’m not the only one who is in the same situation as I am.
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  1349. Does not feel like a professor is teaching feels like a Bro is teaching ,Really enjoy your class have bought couple of ur courses on udemy love them as well as you.....
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  1350. 1- Take good notes. 2- Go over your notes when you get home. Rewrite your notes. Try to dissect notes and seek familiarity, even if you don't completely understand them. 3- Go back and redo all the examples in your notes without looking at your notes. This takes even more effortm specially if there are even more complicated proofs. Reprove and redo all the things without looking at your notes. 4- Do all of the homework. Super important. 5- Ask questions in class. Interact heavily. This kind of learning will stick with you. 6- Go to office hours of TA/Prof. 7- If your teacher has a review then worship the review. Reviews are a great learning tool for tests & learning generally. 8- Try to read the book, even if you don't understand it. Anything is better than nothing 9- Find a good place to do your homework. Find a nice study area. Easier access to TA/Profs/friends. 10- Form study groups. Learn more by discussing mathematics. Also, make friends. Thanks a lot for your videos. Greetings from India 🙏
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  1351. Really reading book is better than just watching a YouTube channel because when you read the book you will force your self to understand what is written and you will use the pen and paper for that reason
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  1352. Do you imagine having this amazing human being as a teacher every day next to you? Amazing video!
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  1353. Best title ever haha. You know it's legit when it comes from a mathematician. Great stuff as usual, cheers! :-)
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  1354. I always come to you for math book recommendations. I mean this in the nicest way but you look like a crazy mathematician who just spends all their time doing math. I love it
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  1355. This is amazing. For a month I was struggling with calculus, especially the continuity of a function. After only 5 minutes of your video I finally understood it. Thank you!
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  1356. When you finish Lang, you do Eisenbud - Commutative Algebra with a View Towards Algebraic Geometry. Then you are the master. I have no idea how these people wrote these books. It's so much material for one person to know well enough to write a book on! I assume to write a book, you probably know way more than what's in there.
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  1357. This man taught me in literally 2 and a half minutes what my professor couldn't in whole semester. Huge respect for you sir!
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  1358. I've always been bad at math and was always re-assigned to the lowest math groups in school during my younger years. Today I'm an engineer within computer science and technology with a mathematical background higher than anyone of my friends and family/relative members. Just like you said, it took time. It took a lot of time for me to learn certain subjects since i overthink stuff all the time, and one answer just gave me more questions... I kept trying tho, and in the end it paid off. Some things that affects us greatly is the environment, the teachers, and the time. They really should do a learning website with AI so that each person could develop the skills at their own phase, and in their own way of learning; since each person learns differently, needs more/less time etc. And still get a grade.
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  1359. I love how serway and Jewett write their books. It’s physics almost in story form
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  1360. Theres also a book called "linear algebra done wrong" that title is hilarious
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  1361. That quote is very near and dear to my heart. I remember when I was in middle/highschool band I was the worst player in every band, symphonic, wind, jazz etc. My best friend just seemed to grasp the music so much better than me. I was so jealous. Then one day a solo got offered for our section (alto sax) and the whole section wanted it. I wanted to prove that I wasnt terrible. I spent every day for a month practicing that solo( and other stuff) for 5 or more hours a day. I wanted it soooo bad. My hardwork did pay off and i got the solo AND i got moved to first chair AND i was good enough to get offered solos for the Jazz band. that experience made me realize i dont need natural gifts to do well in life. Hardwork WORKS! In my undergraduate studies in mathematics I am surrounded with people that are far more gifted but I refuse to lag behind them.
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  1362. I like it. Looks very accurate, similar to soviet mathematician Scanavi's book.
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  1363. the intimidated expression on your face for the student impression is perfect ahahaha
    59
  1364. T R I V I A L
    59
  1365. First day of class. Professor: "Hurry up we're already behind"
    59
  1366. "When the solutions are uploaded" is the correct answer.
    59
  1367. Imagine if he was the santa claus giving math books as presents
    59
  1368. I was 34 when I started graduate school. I was far more mature and motivated than when I started my undergrad. As a result of that, I ended up doing really well academically.
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  1369. I also study math and when I tell that to people, the reactions are either neutral or slightly negative.I don't let this bring me down, cause I'm very passionate about math and this is the path that I want to take.Your channel is incredible helpful for me because it's not easy to find a relatable youtuber in this tech dominated world.
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  1370. lol this was some next level confidence, literally calling Harvard and asking "where is my acceptance letter?"
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  1371. Thank you Guru
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  1372. I'll give you some perspective. While not math, I got a C+ in my very first economics course in undergrad but I am now doing a PhD in economics. Practice and dedication go a long way!
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  1373. I m 66 years old, I love math too
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  1374. Good luck everyone. Not in this class but I'm studying for the same exam!
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  1375. Would love to see more videos about your trading/investing processes :)
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  1376. Me and my daughter were talking the other day about how satisfying it is to use multiple pages to solve a problem and get it right. We like math.
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  1377. Most of the channels where comments are really useful pieces of advice are math channels.
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  1378. I think you're right in the sense that they matter for grad school but disagree with the rest. For example: In my real analysis class, the average for tests were either mid 60's or 50's. I struggled with that class every single day. I studied many hours per week and my tests came out to 70's. There were no curves and I ended with a C. Does this C reflect all the hard work I put in? Does this C reflect the fact that the average was 60 or below? In fact, I did better than most of my fellow classmates and yet, if someone told me a C was not a good grade, I'd be upset just because of that C.
    58
  1379. Honestly, for the calculus test question, my advice would be; pick your battles. Move on and try harder on the final exam. With the rest of your life, patience is a virtue, do not give up, you've worked so hard up to this point, keep going, we all have ups and downs, it's life, this is how we grow to be better. As someone who is alone, I would tell you to be grateful for what you have. You have a family and a daughter. You're going for a second degree, that's amazing. Just be grateful, you have a lot more than so many more. Wishing you all the best.
    58
  1380. This is most likely a textbook that Jimmy Carter used while a Midshipman at the Naval Academy, where he majored in engineering and was near the top academically of his class
    58
  1381. You are the most non-toxic person i ever saw.
    58
  1382. For a person with learning disabilities, it takes twice as much time to read and write, and surely having the reassurance that you’ll have double the time helps relieve that burden of stress. This allows you to think more clearly and also feel the support of the teachers.
    58
  1383. DO THE TEXTBOOK QUESTIONS! Maybe this won't apply to you, but it's rare for the exams to be similar to your homework (*cough* Webassign *cough*). I noticed that the exam questions were similar to some of the textbook questions not covered in class and the homework, so do them if you can. BUT don't solve all of them! You don't have time to solve every single question. Rsther, briefly read through all the questions, and solve the ones that look difficult or challenging. This way, you're less likely to be burnt out (I learned this the hard way).
    58
  1384. I feel like getting smarter just by watching this video
    58
  1385. In this crazy world your excitement is infectious and gives hope of goodness to your subscribers. Thank you sir and keep em coming 🙏!!
    58
  1386. Tip for high schoolers--invent more time in the day so this is feasible
    58
  1387. As an undergrad, every Prof wants you to buy some book or other. I bought just 2: - Thomas' "Calculus" - Kreyszig's "Advanced Engineering Mathematics".
    58
  1388. I was and am a "why-er" because I need to make connections. It's not about a reluctance to learn and be well-rounded, but when you are dealing with abstract concepts, you need to be able to make connections. People who aren't generally strong in STEM areas are so because those courses are still too abstract and disconnected and are themselves not well-rounded. If the WHYS are addressed it's because more wholistic approaches to the teaching of math and science are being developed.
    58
  1389. Lol it’s so funny because it’s relatable. I liked how you portrayed the unrealistic expectations of professors even if it was a bit exaggerated. The quad integral joke also made my inner nerd laugh.
    58
  1390. "Advanced calculus" that scares me...
    58
  1391. Video: Newton himself talking about calculas
    58
  1392. I'm very grateful for having a great love and high interest in mathematics--and FOR YOU, Math Sorcerer!!! Great video!! Thank you!! :) :) :) :)
    58
  1393. Brb “buying” this book (Plz dont yell at me, I’m a homeless mathematician just trying to get an education from communist online libraries)
    58
  1394. That is the textbook I had as a freshman and I still have my copy. I came from a rural high school and I thought, at the time, it was a little bit hard.
    57
  1395. This is way too accurate and I dont like it. I wish I just took a gap semester everything seems so much harder online,
    57
  1396. It’s funny cause all thru the semester I wanted to play video games. Now that it’s over I just wanna learn precal and chem since it’s not mandatory lol
    57
  1397. Man as a software engineering 25 year old drop out I am juggling between statistics for engineers and mathematical statics and recently started learning about Real analysis. It’s true that I feel scattered. This video is a reminder to be more focused and less time on feeling lazy. Thank you Math Sorcerer 🧙‍♂️
    57
  1398. Bro you’re the only one who give me hope in life… thank you❤
    57
  1399. I'm glad you let me know the last question was a bad one, I was planning on asking my math teacher the exact same thing next class. Thanks for the help Sorc :]
    57
  1400. In the Seventies, in India , Spherical Trig was there in my Civil Engineering mathematics. And used in Astronomy and Geodetic survey. We had thought it would be tougher than plane trig. But the formulas turned out to be quite similar to plane trig. 😀
    57
  1401. Ngl this what I needed after failing a statistics exam
    57
  1402. This video painfully resonates with me, in a phase of my life in which I've becomed too tired to fight back and try to improve an apparently hopeless situation. Doubt is one of the intrinsic causes of broken dreams, but sometimes it is itself caused by external sources over which we have little to no control (e.g., economic stress, unsupportive or even abusive families and "friends", exploitative or unfulfilling work environments, etc.)
    57
  1403. END GOAL IS TO HAVE HALF A MILLION DOLLAR BEFORE 30
    57
  1404. After my undergrad algebra sequence, I tried to speed run Lang Algebra, and then Hartshorne Algebraic Geometry chapter 2, 3 (presheaves, sheaves, sheaf cohomology, schemes) over the course of 1.5 years, ended up deep diving into category theory for a year and covered no algebra (I learned a lot of functors, limits, colimits, and presheaves/yoneda things though). Speed running the more analytical topics (calculus, analysis, differential anything) is definitely possible (definitely speed-runned the differential topology, differential forms and exterior algebra sequence), but the algebraic geometry route is such a gigantic rabbit hole that you’re going to get lost when you inevitably have to utilize presheaves and natural transformations. A 2/10 experience
    57
  1405. I love mechanical pencils. I have several, including a Rotring. But, by far my favorite has been a Kuru Toga that twists the lead as you write, so you always have a sharp point about 50% the width of the lead. This has been brilliant for neat Calculus homework.
    57
  1406. Math sorcerer became a Super Saiyan 2
    57
  1407. 10:21 I like how you distinguish between saying that if you don't try, you have already failed and saying that if you tried and failed, you can still learn from that. Failure is still part of the learning process whereas if you don't try, you don't get even that far. Thanks again!
    57
  1408. Thank you for this.
    56
  1409. That tony watches... That guy smells me book
    56
  1410. Who else was waiting for the easiest? 😜
    56
  1411. How did we go from Math to Bustelo coffee ad? Hahahaha
    56
  1412. Math sorcerer bringing a date home: "How about you and I bring it over to the bedroom?" "Oh?" "Yeah ;). I want to show you the middle row of my bookshelf, the first book is a graduate level book on ring theory...."
    56
  1413. "No matter how many mistakes you make or how slow you progress, you are still way ahead of everyone who isn't trying." - Tony Robbins
    56
  1414. I spend too much time playing league and not enough time studying Math 😅
    56
  1415. I also recommend for very beginners: Abstract algebra a student-friendly approach by Laura Dos Reis. I think is one of the best to introduce the abstract algebra study in a constructive way.
    56
  1416. Mathematics is happiness itself. Merry Christmas🎅🎄🎁
    56
  1417. I started off as a math major but changed my major to computer science. 1 Better employability post graduation. 2 CS degree (at my university) has a steep math requirement. Not the other way around. 3 CS degree (at my university) is a great blend of theory and practical aspects. 4 CS is unique because it is a blend of engineering, empirical science, mathematics and logic, art and creativity. 5 CS degree is incredibly versatile. 6 CS professors at my university were a lot more easy going and chill than the professors at the math department. 7 I have been an autodidact. Math is very near and dear to my heart, hence I have over the years figured out ways to learn it on my own. (Bad childhood experience forced me this route) 8 My thirst for learning math is very broad....I love theoretical math, applied math, computational math..the whole nine yards. It would be impossible for me to take all these classes. 9 There is a lot to CS then merely programming. Essentially CS is applied math. 10 Immediate feedback. Your logic cannot be better than that of the compiler. Hence you get instant feedback on your work.
    56
  1418. You looking extra like newton today
    56
  1419. I relate to this a lot. Sometimes I need months to understand something and that's sad because I have exams like every two months so I can't wrap my head around some topic and we are already having another exam. But we don't have to give up ! Thanks Math Sorcerer
    56
  1420. *Just sees Harvard in the title... -My Inferiority complex & Anxiety at its highest
    56
  1421. Good selection. As a HS math teacher I've recommended it to people along with How to Double Your Child's Grade in School which shows parents how to move from tutor to manager of their child's learning.
    56
  1422. I can tell you’re a good teacher. Something the world needs more of in universities.
    55
  1423. This is exactly what I’ve been looking for. I have my undergrad in theoretical mathematics. I actually wanted to do EE but received a great scholarship, so hence I majored in math. While I don’t regret being a math major (I loved it!), I’ve still always been drawn to EE. What a great book, and thanks for this great channel you have!
    55
  1424. "Actually I don't know how to do most of the homework either" Yes, they don't say that, but they THINK that.
    55
  1425. I don't know if anyone will ever read this, but I think I have to get it off my chest. I resonate with everything you said in this video. Throughout my late teen and early twenties I didn't know what to do, first was illustration, then filmmaking, then psychology, and lastly I ended up in programming. I had no prior experience, unless you consider being fine at maths one. I decided to go to university for either maths or computer science, and ended up failing the entry exams (same exam for both fields). This happened in 2019. Shortly after a "Beginners Python Course" appeared out of nowhere in my YouTube feed, and I decided to try on my own. It didn't take me long to realize that this is what I needed my whole life, coding is extremely fun and solving a problem is such a satisfying feeling, one that I never felt before. However the good times came to an end shortly after. I realized how vast of a topic computer science is, it was, and still is, so overwhelming. The though of me not being good enough crippled in shortly after, "I'll never be as good as those programmers" I thought to myself. I tried my best to keep going but I wouldn't code/study often, and, just like you said, I'd feel horrible about it. Sometimes when I look at my progress I feel ashamed that "this is it", I feel like there's nothing impressive or worthwhile in my "portfolio". I feel like I wasted my time, almost three years of it. I tried getting better at Python (still learning new things) and started (almost finished by now) a C course, but, and this is the part that I feel I can't tell anyone, I almost broke a couple weeks ago... I almost quit programming as a whole... yet I didn't. A couple of days passed and I felt like I couldn't do it, I can't take away something that brings me so my joy. Some days are fine, some are horrible, but I want to keep going. One day I want to make something that I'm proud of; something that others admire just a little bit; something fun. I know your channel is about maths but one of the fields I want to get into is AI/ML so that's why I'm here. I'll keep going, or at least I'll try. Thank you for this video, I think I'll keep coming here ofter.
    55
  1426. Wow before watching you i always hated maths and never really enjoyed then when my friends showed me ur channel idk man i just fell in love with maths and since then ive been getting better at maths cuz of u thanks bro
    55
  1427. "Rise like a Phoenix" that got me a little fired up lol, I just got my 11th grade term 1 report and I got a whooping 24%,
    55
  1428. Note to self: the fact that you're not sure you're supposed to laugh at him or start actually imitating him is the genius of the video. Even if it might look corny from the outside, there is a very important degree of self confidence (and yes sometimes you need to "adopt a character" in order to start believing in yourself) which has been discussed in this channel before. he might be a genius so he starts looking like what he thinks a genius looks like plus he starts doing and learning way more math than before which obviously gets him closer and closer to being really good at it. you can laugh all you want but at the end of the day he is the one getting stuff done.
    55
  1429. I wholeheartedly agree with what you said about topology. It's a very difficult subject and easy to lose your patience if you keep getting stuck. Awesome video, love seeing all your books!
    55
  1430. My copy just arrived and I really like it a lot. I have only two complaints. The first is that (in my opinion) he leaves too many of the theorems as exercises. And the second is that he doesnt cover Stone-Weierstrass and Arzela-Ascoli, theorems i guess i thought were core results in advanced calc that should be covered. But otherwise, the book is excellent and does a great job providing intuition behind seemingly complex results. I really liked his section on multivariable calc, and I thought he did a really good job explaining implicit function theorem, which really confused me before this. Anyways, thanks for the recommendation.
    55
  1431. Your t-shirt is little funny to me because we greeks pronounce π as pee😁
    55
  1432. I find it interesting you only read parts of books. I typically pick books and read them completely. I am trying to read 100 books. I have only completed 65 books. My requirement is I have to read every page of text. I try to work some problems, although it's not a requirement. I only complete about books 10 every year. It's convenient to have a dense reference section.
    55
  1433. YEAH WHAT THE FUCK IS WITH THAT!!! I play video games regularly but I don't have the dexterity and reaction time to write all those fucking notes and weird symbols down before they start moving onto the next damn thing!
    55
  1434. thx alot, ill remeber you when i graduate
    55
  1435. Great advice! This might sound a bit weird to some, but I actually love self studying different math topics but at the same time hate carrying around heavy textbooks. So what I do is find a PDF version of the textbook online, and print the chapter I want to study( usually in order), bind it together with glue, add cover, and that's what I use till I finish every exercise. Then I progress to the next chapter book. It's easier to carry in my bag too!
    55
  1436. I have a similar book written by Isaac Asimov, a 3 volume set in a single book called Understanding Physics and he uses layman's language to explain physics in everyday life. Great read. For a more of a sci-fi writer, I was surprised he actually wrote a Physics book. This book on maths also sounds like an interesting read tho too. Thanks for sharing 🙂
    55
  1437. When I was about 13 years old I learned myself programming, I am 21 and I have teached myself algebra, calculus and have worked for 2 years as a full stack developer. I have also used a course from a google instructor to study algorithms. In july 2021 I would like to begin a machine learning course at Stanford, and I’ll use certain books in the upcoming months to gain more mathematical knowledge. Thankyou so much for this free knowledge. And that wasn’t all that I have studied, I have used Yale courses as well. Youtube is the best thing that has ever happened to me.
    55
  1438. Title: Self-teaching for an Undergraduate Degree in Math.
    55
  1439. You've laid the path for my journey of self-study. We all have a moral obligation to be mathematically literate to some degree, so that makes you a morally good human being for facilitating that for so many others.💜
    55
  1440. I'm really disappointed rock climbing isn't on the list. A lot of great mathematicians I know do rock climbing, so it's obviously correlated, causing their excellence :) Thank you for the video.
    55
  1441. I loved studying Trigonometry. You can study it from many angles.
    55
  1442. Your explanation of Variation of Parameters was absolutely spectacular. It never made sense to me, even the second time taking the class, until I heard your explanation. I cannot express my thankfulness for this video - I have my final in 6 hours and I think you might’ve just helped me secure a solid final grade. I wish I’d discovered your channel much earlier - you definitely have a gift. Thanks again!!
    55
  1443. I don’t reckon that cs is smarter degree.Thanks to the skills of math you are capable to learn the cs easily.Having the math degree denotes that you think critically and having a high range of problem solving.With that soft skills you are able to do more than you guess
    55
  1444. You: "This is a really old book on number theory". Me: "Unless they've discovered some new numbers recently, it's probably fine."
    55
  1445. I'm very weak in math from the beginning because of how i was taught in high school. I'm 26 years old and i want to know how to get started from most basic like arithmetic, pre algebra up to calculus. Can you recommend some great books by making a video on it. Thanks from India.
    55
  1446. The MS is on his way of becoming multimillionaire like Stewart 😂
    55
  1447. with all my classes online you're a god send man
    55
  1448. Something I recently read suggests that it's essential to end your day in a way that makes the first activity of the next day feel effortless. For example, let's say you were studying integrals and came across the expression of a challenging integral, but you haven't evaluated the limits yet. Instead of diving into even more complex problems, leave the integral without evaluating the limits for the moment. This way, when you start the next day, you'll have something easier to begin with. Otherwise, you might find yourself thinking, "Oh, today's integral is too hard, I'll do it later," and that "later" never comes. This way you'll be hacking the adage "the hardest part is starting".
    55
  1449. My biggest regret as a math major: not taking more physics, astronomy, mechanics and other courses that actually used math and put it in better context. Some math texts, especially calculus books, tried to address the issue, but not enough. It was maddening to realize that physics students in Quantum Mechanics knew more about "real" probability and group theory than math majors!
    54
  1450. Bro turned into super saiyan
    54
  1451. One thing that is very useful in the study of math is to understand the history of where the problems came from, and to follow along with how these problems were solved. It gives you a “skeleton” of how the field branched off into various areas of research, and how our predecessors dealt with it. Otherwise it can seem like a taxonomy of disconnected issues.
    54
  1452. “And don’t forget if you have any questions, just click buy now” LMAOOOOOO
    54
  1453. I've always seen my teachers and professors as GODS. And the most unforgettable thing of all was seeing them all debate each other! 🤯🤩😅❤️
    54
  1454. Good metaphor. Ramanujan is the most impressive mind ever maybe.
    54
  1455. Awesome! Self-studying homomorphisms and rings right now. Ofc I wont understand everything the first go through.
    54
  1456. The thumbnails are getting even better !
    54
  1457. Thank you for trying to shed some positive light on advanced mathematics! Your videos are very refreshing and also informative.
    54
  1458. Like grandad said about old books, “the cover might have dust on it but don’t let that fool you about what’s inside.”
    54
  1459. I just received my BS in applied mathematics. I’m going for computer science for MS next semester. I became a better programmer because of math. I will get my PhD in applied mathematics in the future. I love math. When when it’s hard.
    54
  1460. These students don’t know how lucky they are to be in the math sorcerers presence ✨♥️
    54
  1461. Very underappreciated but rewarding job. Talking about teaching in general.
    54
  1462. Mathmagics
    54
  1463. Purchased. I'm not going to be ready for it for a while, since I'm still only on Calc 1. But just having books like this keeps me feeling motivated, curious and inspired. ❤️
    54
  1464. Great video ! Thanks ! Active math/physics learner here - just turned 71.
    54
  1465. It's impressive that a working class man was able to become a academic at that time.
    54
  1466. For readers wishing to study The Art of Computer Programming seriously, note that the mythical machine architecture MIX has been updated to MMIX, a more modern RISC architecture which is introduced in a supplementary volume titled Volume 1 Fascicle 1. At the moment, Knuth is working on Volume 4C; in particular, Section 7.2.2,3 on Constraint Satisfaction. He regularly posts updated drafts on his webpage, seeking feedback from readers, and he will personally mail you an autographed certificate to express his appreciation if you report any errors in his writing. Also, Section 1.2 in Volume 1 on Mathematical Preliminaries is rather dense; its mathematics is elaborated more leisurely and fully in Graham, Knuth, and Patashnik, Concrete Mathematics
    54
  1467. Once A. Einstein said: "I'm not a genius, I spent a lot of time on a problem." So, Dear math learners, if you get stuck on a problem, try it 3 times in a row. If it didn't work. Leave the problem for a while, and do other thing. After 1 or 2 days come back on the same problem and try your best again. You will see the result. Or get some help online or from peers. But NEVER GIVE UP, and keep in mind Dear math-learners that a math problem is nothing but a disordered solution, meaning a solution appears in a chaotique way. A problem is a disguised solution. Meaning with tenacity and perseverance you will solve it. NEVER GIVE UP.
    53
  1468. I'm doing a mechanics module as part of my general maths degree and this is really how I feel. I didn't do physics or Applied Maths (Subject dedicated solely to mechanics in highchools where I live) in high-school and a lot of the maths relies on physical intuitions I just am totally lacking! People are generally lost, but I am always afraid I am worse off than everyone else.
    53
  1469. It's up to the individual to decide. Not all decent jobs require a college education.
    53
  1470. I spent a decade teaching adults and since this was in the field of computers, I needed to engage in a lot of continuing professional development. The key to learning any language is repetition and so a daily routine is best. Most people’s attention span is no longer than 30 minutes. If you want to spend an hour a day, then two periods of 30 minutes a few hours apart will be much more effective than a single period of 60 minutes. Also most of us have a limit of being only able to learn 5 to 7 new concepts in a day. My mathematical abilities were appalling until In my early teens I came across two self-paced training manuals at my local library. One was in pure and one applied mathematics. I managed to achieve a huge amount of progress in about 4 weeks and never looked back. Oh, and most of us have a cooking device such as an oven with a timer built in. As an enthusiastic home cook I have another two kitchen timers. The local thrift shop sells them for a dollar or two each.
    53
  1471. "Everybody is a genius if you judge a fish by its ability to climb a tree it will live its whole life believing it is stupid" - A. Einstein
    53
  1472. I love you math sorcerer… I’m Accountant, I didn’t do math after school. After I saw your videos, I got motivated and started reviewing my algebra.. Took calc 1, calc 2 & calc 3 Complex analysis Real analysis Linear algebra Now doing pde.. Hope to do a math degree in future
    53
  1473. MathKaren would totally round off the calculations
    53
  1474. You are really helping me in getting good at math , professor Dumbledore
    53
  1475. C is God's programming language.
    53
  1476. I've been on graduate committees that look at applications. A 3.0 GPA is okay if it's from a reputable school and important courses like analysis are on the transcript. In addition to having a good GRE score and solid letters of recommendation, showing some kind research done at the undergraduate level will demonstrate to prospective universities that you are prepared to do some original scholarship. Many professors at the undergraduate level would be happy to work with a motivated student on an independent study course for a semester and that would be an ideal setting to do some research and develop a relationship with a professor who could write a nice letter of recommendation.
    53
  1477. I've been studying math on my own for a couple years now and I'm from a medical background. Your advice has been very helpful for me preparing for applied math graduate study. Keep up the good works!
    53
  1478. At my university, I'm studying Electrical Engineering, and they're currently shifting away from MATLAB to Python, to teach the math heavy fields of Signals and Controls. Python is free, unlike MATLAB, but learning it will not only be beneficial to help you check your solutions in your math courses, you'll walk away with a valuable skill employers are looking for these days, if you chose to pursue that route. Numpy, Scipy, and the Python Control Systems library are just a few that I'm starting to use.
    53
  1479. For the graduate level, Algebra: Chapter 0 by Paolo Aluffi is sensational, covers all the important topics from the beginning to advanced through the eyes of basic category theory. A story related to this book: me and my friends wanted an original copy real bad (it's like 90$ new), so we made a request to our uni's library to get one. Since we wanted to make sure they did order it, we told a lot of people to make a request for it. They probably though it was needed for a course, and got 2 copies. No way we need 2 copies. Whoops.
    53
  1480. 1:08 with mathbooks 4:20 buying math courses 5:24 math videos on youtube (might not be as effective) 6:54 Making own routine/gameplan with the use of these 3 strategies
    53
  1481. You amazed me. I just came from Eddie woo and others for this question now YOU! It’s like you understand the most basic intuition needed to solve it and you did it in so little steps. your solution is gold man. even for the factorial question. THANK YOU SO MUCH
    53
  1482. We appreciate your consistency on this channel. We learn a lot from all your other videos.
    53
  1483. Absolutely. I always keep my study room scented with lavender oil. Perfume deters bugs from mating and that helps preserve my books, clothes, etc. No smells of mothballs thereafterr. However, my vintage books pick up lavender scent.
    52
  1484. Hey buddy please never stop uploading these motivations cause they're really helpful when I don't feel to study ❤❤
    52
  1485. I have one idea to improve focus and concentration- keep yourself be silent... It will make you calm and composed and it will really helpful to make our focus and concentration better😊
    52
  1486. It's not very easy to give the final answer to "Show that the square root function is uniformly continuous" without giving away the whole solution.
    52
  1487. Holy cow! This is actually how to lose friends! 1:18 Always make them feel terrible when they ask for help 1:36 Don't participate in their excitement when they achieve something 2:10 Make them feel stupid when they open up about their struggle
    52
  1488. Focusing on learning is the main thing. When we focus on learning, good grades are a bonus!
    52
  1489. Brilliant mind and a real comedian/ entertainer when you listen to his lectures. Some of his interviews are online and worth the watch.
    52
  1490. I have used this book in my high school days...as one of recommended text books.They are good for getting basic understanding by solving exercises in each chapter.
    52
  1491. I tell people, "it takes years to learn and understand mathematics". That's usually not what they want to hear, people want a quick fix.
    52
  1492. You know your a bibliophile when you know the book is poisonous but you have to sniff it anyway. 😂 Either way love your vids.
    52
  1493. I was worried you were going to tell us to memorize our multiplication tables, thanks for the encouragement.
    52
  1494. True, I always keep in mind, "Understanding a question is half an answer" - Socrates.
    52
  1495. It happens to me all the time; I need to quit procastination. Thanks a lot, Sorcerer teacher
    52
  1496. Why couldn’t my teacher just say this 😑
    52
  1497. Also, repetition is a key danger in math - bad habits come from repeating the wrong thing. Even when the first thought was correct. So the beginnings are absolutely critical!!
    52
  1498. LOL. “2020’s coming” I think I heard ominous music after that sentence.
    52
  1499. Terence Tao did say on his blog that he did poorly on his PhD quals due to a mix of overconfidence (he was constantly praised from a young age) and not studying enough. Shows that we do our best when we learn the virtue of resilience and dedication, regardless of our talent.
    52
  1500. Ok you can actually get this one for just a few dollars. But better grab one before all the Sorcerer's viewers drive up the price.
    52
  1501. I've always used Math to reduce anxiety, not the other way around. It's consoling to know you can always identify your own mistake exactly.
    52
  1502. Had trig as a high school sophomore back in the dark ages (ie. slide rules and log tables). Actually loved it and highly respected the teacher. We spent days on the unit circle and I can still visualize the 1st quadrant. It really helped learning calc later in college.
    52
  1503. 2 of my favorite books from my teenage years which inspired me to pursue mathematics and engineering: (1) Number: The Language of Science, by Tobias Dantzig (2) One Two Three Infinity, by George Gamow
    52
  1504. Oh, don't forget that all of your professors want their lectures in the same time slot.
    52
  1505. we are so lucky, we can have math classes with Sir Isaac Newton himself!
    52
  1506. I like your book reviews; a review of Knuth's Concrete Mathematics would be interesting too.
    52
  1507. As a Master's student in Electronic Engineering working part-time while studying, it is tough to maintain the balance between work and study, however, I stuck it through a year, hopefully, my advisor will let me graduate in next year, finger-crossed. I think choosing an advisor is very important as well, a good advisor will support you, and well, vice versa.
    52
  1508. I appreciate how you kept in every step of the solution. My teachers back in school would always skip a bunch and only the nerds would be able to keep up
    52
  1509. i fear nothing, but that book...
    52
  1510.  @TheMathSorcerer  epic
    52
  1511. This book was a good self learning intro to proofs for me. When I went back to school for a math degree and my undergrad analysis professor told me I am already studying like a grad student I took that as a huge compliment.
    51
  1512. Infinite Series is the bane of my existence
    51
  1513. I just failed my trig exam today, so i really needed to hear this.
    51
  1514. Who else came only for the first video?😁
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  1515. But they're an inspiration to the next generation, like my daughter, who wants to go into the AE field, like you have. My son is heading more towards a CJ/JD route, but then he's only four, so he might change his mind. ;-)
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  1516. Lol, this summer for me between 8th-9th grade, I took a 6 week long Euclidean Geometry course, and I used a book written by Serge Lang. He is a very good author, and I found his explications helpful whenever the teacher didn’t explain something to my liking.
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  1517. Professor G! Ive had the pleasure of taking pre-calc with you teaching it roughly 4 years ago. Just know you made me enjoy it (even though I bombed most of the exams but ended up with an A after the final). I still watch your videos from time to time and I hope one day I can sign up for your Calculus class in the near future if you still are teaching it. You were the best math professor I have ever had and I hope I get an opportunity to learn from you again. Best wishes, Z
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  1518. I always get excited over old books. I mean, they feel so genuin and real :D
    51
  1519. I got a Ged and when I went back to school in my mid 30's I couldn't even add fractions. Did math 090 to multivariable cal, at a city college. I'm going into my last year at university for engineering. It's been very tough, I'm not that smart so I typically have to study twice as long as the other students, but I figure it out. You can do it, you just have to jump
    51
  1520. Question: How to stop watching youtube videos about doing math and actually do math instead, lol
    51
  1521. Thanks for making videos like this and “don’t give up on math” I’ve been dealing with ptsd/suicidal attempts for the past 10 years (homeless the past year) and sometimes it helps to be reminded not to take the easy way out on math 🧙‍♂️
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  1522. 1. Repeated, Intermittent learning. Essentially set aside a certain amount of time a day, or couple days of the week to focus on learning. Say you set few hours to revise something. Revise for 30mins take 10 mins break, go back for 40mins then 10mins break, go back for 50mins and break. Then repeat another day. 2. Be consistent. Even if it’s looking over notes and solutions once or twice a day or week simply reminding yourself something multiple times a day then multiple times a week and so on till you’ll naturally remember it when it comes up. 3. Just walk away. When your in a rut, going in circles and frustrated. Watch a movie, eat some food, play a game. Meet some friends. Then come back later. Refresh your mind. 4. Switch it up. Try something different for a bit. Solely focusing on one problem/topic will slowly become more tedious especially if your getting frustrated. 5. Try another way. Maybe try another style of revision, note taking and skimming isn’t always the answer. Doing problems sheets, looking at multiple solutions to the same problem, flashcards, YouTube videos from multiple creators, peer / group study. You won’t get everything from the beginning stick with the content and problems and it will slowly click. (Take it from someone who’s done an analysis module 🤯) Final piece of advice, try not to cram last minute it only exacerbates things. This is what’s worked for me, so hope it helps. 👍
    51
  1523. 1. Never let your teacher discourage you 2. Don’t fall behind 3. Don’t isolate yourself
    51
  1524. if you are aggressively smart... then physics is an option
    51
  1525. Another very good book (IMO) is Mary L. Boas "Mathematical Methods in the Physical Sciences." She taught the course for decades, and the text shows it: She always seems to anticipate my questions and explains things clearly.
    51
  1526. After 10th grade I bought a book called 'Thomas Calculus' and spent 2 months studying that book all day to night. It was one of the best studying experience🥴
    51
  1527. Math book content is stationary. It generally stays the same throughout time as opposed to books about other subjects that need updates (like books about medicine). Math content is more like a cookbook where nowadays you have 1000 cookbooks, and 1000s of fancy ways to cook the same chicken breasts. As I was walking through the local flea market, a big red book titled The Practical Encyclopedia of Natural Healing caught my eye. I ended up buying it. The brick was $2.00. Back home, while reading through the chapter on heart disease, I stumbled upon a paragraph that spoke about the early clinical trials of chondroitin sulfate in a large hospital in South America. 110 patients who all had heart disease were selected. 50 of those patients received chondroitin sulfate and the other 60 received "conventional" therapy. After six years went by, 14 patients who were receiving conventional therapy died while out of those receiving chondroitin sulfate supplementation only 4 patients passed. Out of the control group 42 coronary incidents were reported while the patient receiving chondroitin sulfate only reported 6. This encyclopedia was printed in 1983, and chondroitin sulfate (and likely also glucosamine chondroitin) was still unavailable to the public in the United States. Today you could walk into Wal-Mart, take a left, your likely in the vitamin isle, squat, extend your arm, and buy a little bottle of chondroitin sulfate for about $12.08. In math, the interesting part is always different for everyone, but throughout time we keep arriving at some of the same formulas that ancients also discovered. It's somewhat similar to finding writing in an old used book like yours. The thought process of the previous owner is somewhat "tattooed" into the book. A book the general population would generally disregard.
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  1528. When someone says "oh.. I'm too dumb for math" & they think they look "cool", that just blows my mind. Since when is being stupid a desirable trait?
    51
  1529. Imagine being at caltech in the 60's. What an experience.
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  1530. Dear mathematicians, AI era is on the horizon, math is the core building block of AI and STEM. Therefore, math teaching remuneration should be reviewd and raised. I strongly believe that math teaching at any level deserves a special consideration.
    50
  1531. ++ on unlined paper! In grad school exams we were often given thin "notebooks" of unlined paper on which to do calculations or derivations as required, to be turned in with the exam. Erasures and scratch outs got pretty messy. A classmate used a wide felt tip marker as an "eraser", making what remained much more legible - a trick I borrowed and use to this day, over 45years later. Also saved precious time during the exam. :)
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  1532. i have insane math phobia and i’m 30 years old. I feel like a failure. But i’m happier now for finding your videos. I studied 13 hours a day (mostly panicking and hating myself) the 10 days running up to my statistics exam...i still failed. My re-exam (study in Sweden) I studied less but more s.m.a.r.t. i finally passed and now i’m able to take my thesis this year. The imposter syndrome still lingers.
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  1533. It's so helpful to be able to hear advice and insight from someone that understands not just the math, but also the psychology of learning. Motivation is a huge part of any type of learning, especially for independent learners like myself. It's easy to become discouraged and these vids from TMS always seem to hit at the right time for me.
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  1534. I also dropped out and got a GED - just got accepted as a transfer into the University of Michigan to study math & computer science this Fall. Interesting to hear there are others with similar stories.
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  1535. This is amazing. I mean, you are a professor and still do self-study to improve every day. A huge inspiration for students like me. Great video, thanks a lot sir.
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  1536. From my perspective math is the hardest of all. I took classes in physics, chemistry, a lot of econ, a lot of statistics and a lot of pure math. In all above mentioned with the exception of math, I was able to always have an intuition about how I should approach an exercise as all of it corresponds directly to stuff in reality. So I never had a physics/chemistry/econ exercise where I was completely clueless about how to solve it, I was always able to at least partly solce it. In comparison, in math, there were hundreds of exercises where Isimply did not know how to atart as I had never seen or learned the proof technique that was necessary. So my conclusion is, that for me, math is by far the hardest of the above mentioned subjects.
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  1537. AWESOME, AWESOME, AWESOME!!!! I'm so glad I discovered you here on YouTube!!! You're my kind of math wiz!! This video gives me renewed hope for my own recreational math work. You see, Math Sorcerer, I'm 53 years old, I have autism, I live on Social Security and spend all my days at home. I also have a huge library of math books that have pleased me over the years and I've used math to stimulate my brain which is so important to me being an autistic. So your advice here in this video is really very inspiring and helpful to me.
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  1538. I'm from argentina and i taught myself calculus over the course of one summer, and complex analysis in six weeks, the key thing was to not burn out and be consistent with some study each day
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  1539. Math Sorcerer, you're the kind of person who makes the desire to learn mathematics a very valuable commodity!!! Keep up the great work, MS!!! :) :)
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  1540. as a German Biologist - I studied Biology and Chemistry to become a Biochemist - with severe Math PTSD from High School - we always Must go back to first Semester - and see - what we overlooked back then - and start from scratch again. The faster we race into the Unknown - the faster we get hit with what we ignored early on. And we have to accept our mental limitations - there is a strict limit of what we can grasp. As Fausteans we try to pact with other forces - that laugh at us... We may have reached the Wall of comprehension...
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  1541. In french we say "Le courage est l'apanage de tous les talents" Which means that courage is the ultimate vertue. If anyone here is as scared as I am or as the Math sorcerer, remember that fear is the root of so many unethical decisions in the world. That should scare you even more. Fear can make you vulnerable to abu$e and to exploitation, it could even make you do stuff that you never thought you would do and that you end up regretting. I promise that's way scarier.
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  1542. I need more tutorials on speed. This is what I sorely lack.
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  1543. Oh man, some of those chapter titles bring me back to my engineering and physics classes. A lot of them we wouldn't actually calculate ourselves, rather we were encouraged to buy a book of tables (Schaum's Mathematical Handbook of Formulas and Tables, to be specific) with solved general forms and the object would basically be to finagle the problem into something resembling one of the forms and use that to solve things like Bessel functions. ...at least until we got to Math Methods, which I could totally see this being a textbook for.
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  1544. Preksha, The best time to start was yesterday, the second best time is today 😌 At 21, you have not lost any chances.. you only have to take the first step and then one step at a time !
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  1545. I just passed a Precalc CLEP (placement) exam and earned enough credits with it to graduate college!! I restarted on my math journey after watching some of your videos, relearned Algebra, relearned Precalc, and now I’m going to buy Thomas’ Calculus and continue the journey!! Thank you so much, Math Sorcerer!! This was my big win!!
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  1546. TI-84 Plus is the Toyota Camry of calculators.
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  1547. My friend is really depressed since he got a C in stochastic process. I think your video could cheer him up.
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  1548. I did this and really become my habit now: force yourself do dozens of math questions as soon as get up, during first several problems your mind is gonna be filled with tons of distracting shit thoughts. But when get through about ten of them. The momentum will build up and you are not gonna feel anything and forget all other things but keep doing them for a whole day except for lunch, it’s all about getting into the mood. And doing math before go to bed no matter how much, in order to carry on the momentum. And at last watch some Terrence Tao lecture or talk no matter if understand or not lol. He’s the kind of person that makes you wanna do math only by watching him.
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  1549. The humble beginnings of a math legend.
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  1550. When your bad at grammar, lol
    50
  1551. I don't think you mentioned the best part of this book: She fully covers functions from m-space to n-space, leading her to define the derivative as a Jacobian Matrix, use the Hessian to classify critical points, and state the Change of Variables Theorem in full generality. This is my favorite book for multivariable differential calculus; for integral calculus, I prefer Bray's Multivariable Calculus.
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  1552. This honestly is so motivating for anything your struggling with, I'm currently a freshman and I'm making my second udemy course and man its really hard and really painful, but as you said I'm gonna be a rockstar at the end... It'll all be worth it
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  1553. I feel like if I was lucky enough to attend those classes, I could've passed with at least a C. But I'm notoriously bad at exams, where I feel trapped in a seat lol; the 3hrs would've definitely helped for sure, an entire extra hour compared to my calc1 final.
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  1554. I am a slow learner. My strategy in college was to buy the textbooks at-least 1 year ahead of time and work my way through the material before taking the class. Being able to learn the material in a relatively stress-free setting allowed me to retain a lot more. BTW, I got the high-score on my Fundamentals of Engineering Exam, and didn't even study for it. Frank Herbert got it wrong, STRESS is the mind-killer.
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  1555. That person with the 4.2 GPA is simply flexing, or is yanking your chain.😂
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  1556. How is a math professor on YouTube the most motivational person in my life 😂. Thanks math sorcerer your the best !
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  1557. Pure math will forever have my heart
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  1558. Ramanujan was a gifted and born genius...no one can learn like him.
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  1559. I managed to Almost get a degree in physics (Except the required analysis papers) at a B+ average but I keep failing Analysis papers because everytime I see proofs/Theorems I get frustrated and depressed. Thinking about dropping out and studying Comp sci. I absolutely hate math and physics now! The thing is though, if i study this at my own pase I can figure it out and I see its not hard at all, but the intensity of university is too much for me. Sorry about the rant, I needed to get this off my chest.
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  1560. About not having answers to the exercises at the end of the book: if you're going to do something, do it right. Writing a math book with no answers is kind of laziness. I do not doubt that there may be exercises that are impossible to answer and that the poor student is trying to answer without knowing that it is impossible. All because of the author's laziness. Shameful.
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  1561. I don't even have a test anytime soon, but I am now motivated.
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  1562. This is a nice list. Let me also add two exceptionally well-written books by George Simmons: Calculus with Analytic Geometry and Differential Equations. The first one is hard to get in print, but PDFs are easily available.
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  1563. You the man for showcasing this. I just bought it 👌🏼 Edit: thoughts on TA it works, beyond a doubt. The portfolio killer is the absence of risk management(which is fancy talk for STOP LOSS). My 2 pieces of advice for new booties is 1. Learn the basics of TA (supp/res, TL’s, and Chart Patterns (both continuation and reversal) and 2…….. SET A STOP LOSS. STOP LOSS IS MANDATORY ON EVERY TRADE
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  1564. I really appreciate these life lesson, experience based videos.
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  1565. “I like teaching the calculus sequence.”
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  1566. The only book you need to read is Fooled By Randomness by Nassim Taleb (who by the way, was a trader himself and write an old but still highly regarded book on quant trading called Dynamic Hedging). He wrote nothing about stock picking because there's nothing to write about stock picking that can have a mathematical basis.
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  1567. She tried to justify it? How?! More importantly was her claim compelling? Your videos are really inspiring to me. One area in math that I am subpar in: proofing. I should have paid attention more in 10th grade math class. Though I did download that free book on proofs that you recommended. I have found in the past when making my own models that I have ran into trouble when I did not do a proof. Hopefully, soon enough, I get to the point where I can study that subject intensively because I really can’t call myself a mathematician until I can do solid proofs. You’re hilarious by the way.
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  1568. Waiting for the future think tank of Von Neumann clones to save us from ourselves.
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  1569. I absolutely loved Friedberg’s Linear Algebra, I used it for self study for a first course in Linear Algebra and I remember having so much fun with it. I found it incredibly intuitive and challenging, the proofs become progressively more complex so I never really struggled with any. Furthermore, together with Herstein’s Abstract Algebra these were by far the books that prepared the most for, and made me good at, proof writing which later made my study of Analysis very enjoyable and easy going. An excellent recommendation for anyone wanting to learn what Linear Algebra is really about.
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  1570. Reviews of books by Math Sorcerer. 1. "Contemporary Abstract Algebra" by Joseph A. Gallian. 2. "Approach to Abstract Algebra" by W. W. Sawyer. 3. "Galois Theory" by Emil Artin. 4. "Advances in Ring Theory" by S. K. Jain & S. Tariq Rizvi. 5. "Topics in Abstract Algebra" by I. N. Herstein (Israel Nathan Herstein). 6. "A First Course in Abstract Algebra" by Hiram Paley & Paul M. Weichsel. 7. "Abstract Algebra with a Concrete Introduction" by John A. Beachy & William D. Blair. 8. "A First Course in Abstract Algebra" by John B. Fraleigh. 9. "Algebra Volume 2" by B. L. van der Waerden. 10. "Abstract Algebra" by David S. Dummit & Richard M. Foote. 11. "Abstract Algebra, a First Course" by Dan Saracino. 12. "Introduction to Abstract Algebra" by Roy Dubisch. 13. "Algebra" by Michael Artin. 14. "Lectures in Abstract Algebra" by Jacobson. 15. "Abstract Algebra, an Introduction" by Hungerford. 16. "Modern Algebra, an Introduction" by John R. Durbin. 17. "Algebra through Practice, Book 2; Matrices and Vector Spaces" by T. S. Blyth & E. F. Robertson. 18. "Algebra through Practice, Book 5; Group" by T. S. Blyth & E. F. Robertson. 19. "The Theory of Rings" by Neal H. McCoy. 20. "Basic Algebra" by Anthony W. Knapp. 21. "Ring Theory" by Ernest-August Behrens. 22. "Topics in Ring Theory" by Jacob Barshay. 23. "Exercises in Classical Ring Theory" by T. Y. Lam. 24. "Ring Theory," edited by Robert Gordon. 25. "Graduate Text in Mathematics, Algebra" by Serge Lang. Just re-edited above.
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  1571. My advice is to meditate. Not like religious level meditation...but rest your mind, try to digest the content you just studied. You will learn with time that everything and anything takes time...when you come to terms with that, you will learn patience. This is something that most time we all forget...(young padawan, 😂, may the force be with you!)
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  1572. The thumbnail is going awesome!!
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  1573. i would listen to a weekly podcast by this man
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  1574. It is simply not fair that today's students get such fantastic books like this when we older folk were stuck with such horrible texts! Also, youtube vid's are so useful as well. The students today are so F'ing lucky!
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  1575. I failed my O levels in 2023. Got an E8 for Math ( 35% ) , which put me in the situation where i had to repeat the year as a private candidate. I stumbled upon your videos , kept watching them and fought the fear of failure through constant practice of maths Come 2025 I just got my Results , An A2 ,> 70% Thank you sir
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  1576. Sort of an Obi Wan lighting?
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  1577. "HIGHER ALGEBRA" Man, the term gives me the chills because of the difficulty level. I hope one day I can reach that level.
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  1578. I needed this inspiration right now. I have this tendency to be hard on myself and get stuck in questioning if I'm smart enough. Thank you for coming through at almost midnight eith a video to help me get out of that thinking!
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  1579. Wow, Man!!! You can sell math better than Cal Worthington sold cars and better than Earl Scheib sold paint jobs on those cars!!! I absolutely ADORE your math library, MS!!! Well done!!!
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  1580. Holy crap that was so simple and fast everyone should be this simple with there videos thank you a ton!
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  1581. There's a video of yours called "Learn Maths from start to Finish", I really liked it, do you still consider it valid or will you change something from the books and order you mentioned in that video?
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  1582. It's amazing how large your channel has become. I think I found you when you only had a few thousand subscribers. Great job, brother- very inspiring! 🐢
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  1583. 5:17 That's true. It is hard to embrace the challenge when you have the pressure of grades. Our society values the grades more than learning, and when the pressure to get as close to a 4.0 as possible is very real to be competitive for jobs then learning and understanding can take a backseat. That's when you get students doing just enough to get a good grade on the test, and then they forget the material. The students, employers, and society suffers. These days most learning is done outside of school, and school is just for the grade and recognition.
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  1584. I love this learning environment! The enthusiasm brought by the professor makes the material easier to learn. Unfortunately my diff eq teacher is difficult to understand and I learn very little during lectures. In the future I plan to watch these as well as my own lectures! Thank you sir!
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  1585. As I sit here working on my math at 5:20 in the morning, The Math Sorcerer drops a new video! Way to go!
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  1586. The reward is finally solving a very difficult integral after many failed attempts.
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  1587. Your work is super important to the YouTube community and the greater maths community at large. Not only for it’s importance to archival and archeological, but also as there aren’t good places to get a lot of actual reviews outside of academic structure.
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  1588. I’m currently 8 chapters into Chartrands proof book and have done all the exercises. I’m self studying it from the book and I feel like I’m getting proofs like never before!
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  1589. It's hard to make such hard decision at such a young age. It's worth mentioning that even if you make a bad decision early on, you can always change your career. It's not a life-sentence if you won't make it so :)
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  1590. I really appreciate these videos
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  1591. "Take small steps. If something looks impossible and the reward is big, take small steps towards the goal today and get to work."
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  1592. I think Stanley taught me math a couple nights a week. Now I'm an engineer.
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  1593. Learning math teaches us discipline and critical thinking skills.
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  1594. Yup--this book is where I started with analysis. There are no perfect books, but this one is very, very, very good.
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  1595. I just want to say that I’ve been diagnosed with stage 4 glioblastoma and your videos are helping me keep my mind sharp. I’m 34 btw. You ARE strong enough in life and Math is just amazing.
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  1596. I would add two things that have been essential to me and to people in general as research shows: 1) Physical Self-Care. If we're not eating, moving and sleeping well enough, we can't focus or learn as well in general. Sleep is especially important for memory consolidation and generating insights. 2) Emotional/Social Support. Encouragement and constructive feedback can matter so much!!!
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  1597. It's easy for me to be social with other people who share the same interests, like math. Sometimes I find it very difficult to connect with people who don't enjoy mathematics at a high level. Beer does seem to help though!
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  1598. Dude you’re my favorite math youtuber by far. Love your content.
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  1599. Min. 6:50 is hilarious 🤣
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  1600. Coming from a kid who has never once worried about his grades, it definitely makes math much much easier
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  1601. We will support you no matter what. Keep working hard.
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  1602.  @ŠæH0rse  physics wasn't fun anymore. It also ended up being just computational work that didn't pay as much. Hoping I get through the interviews tho
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  1603. Thank you for your work! Since my parents were living in the USSR for me it is very interesting to learn about Soviet education and science
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  1604. "Look at the person next to you and ask yourself: 'Do you think... do you think they know calculus?' " - The Math Sorcerer 2022
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  1605. "Calculus 7 Today we're going to do some maths " RIP 😂
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  1606. Please give us your library tour
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  1607. In my experience there are three factors to learning anything: persistence, intelligence and memory. I have seen people at university simply memorizing everything. They understood nothing, but they aced every test by just reproducing from memory. I think with persistence, a little bit of memory and a bit of intelligence, you can find a way to learn math. Ironically, it helps if you have a bad memory and compensate with persistence, because you need to derive things or look them up again and again, which will help your understanding. And once you truly understand a concept, you will never forget it anymore. Anyhow, I am incredibly happy I got my STEM degree now almost 20 years ago. I am still doing math for fun and I learn new (or forgotten) things every single day and I just love that. I could not imagine a life without learning. It would be so boring.
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  1608. Oh gosh, this man is absolutely chaotic. Erasing with his bare hands? Drinking diet coke in between words? Can't stand in one place for more than 2sec? Subscribed.
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  1609. And so I'm watching this...just because..
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  1610. It's a combination of the fact that they usually are especially smart, they've probably had a good education to really draw out their full potential, and they typically have years of experience. All of that multiplies itself like crazy. And if they're passionate about what they're doing, then WATCH OUT! And if you're at the opposite end of the spectrum on these things, then your perception is going to make it seem even more extreme. Lol 😅
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  1611. The really insidious thing is, watching videos can make you feel like you're getting it. But the next day, you don't have it.
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  1612. One thing that has helped me is to absolutely surround myself with the thing I’m trying to learn. This can be in the form of books, knowledgeable people, or anything for that matter as long as I’m engrossing my self wholly into the subject. It can even be beneficial to take on the persona of someone who loves that subject sort of like faking it till you make it.
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  1613. TMS: You get distracted with the computer on Me: Getting immediately distracted by a WA message
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  1614. I want to make a book reccomendation: Real Analysis-A Long-Form Mathematics Textbook by Jay Cummings. Never thought a math book would be hilarious, but I’m kinda dying over here. On another note, I FIGURED OUT INDUCTION (for now...)! And regarding this video, great advice! Srsly guys, this guy does some good proving. I am only really starting to grasp proof writing, but this progress feels really good. Thanks Math Sorcerer!!
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  1615. When I was a math student in college I set a time limit for myself. For a homework problem or a take home test problem my time limit was four hours. If I couldn't solve the problem in four hours I quit and moved on. Sometimes when you are tired and somewhat burned out you can't think straight. Once, one of my friends, a classmate in differential equations called me up at midnight and said he had been working on this problem for hours and he was stuck. I said, "What's the problem?" He asked me what was five times a constant. I thought for a second and said, "Another constant". There was a long pause and he said, "Oh s***, thanks, bye". He was a sharp guy too, he was just too tired to think straight.
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  1616. I remember Serge Lang from Yale. He was a true-blue, bona fide, one-hundred-percent weirdo. He had more weirdness in his little finger than most people have in their whole personalities.
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  1617. I have a thing with "collecting" maths friends. I did not have a strong maths background going into uni and really struggled. Luckily I could always find one or two guys to carry me through. I feel so lucky to be in such a collaborative school
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  1618. you're such a wholesome person, I wish you taught at my university
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  1619. I feel like you are becoming a bit like Pythagoras, but in a good way
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  1620. Government publications like this are a hidden treasure trove. Most people who no idea what amazing stuff gets published by the Gov't Printing Office.
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  1621. Dear sorcerer, could you please review the book science without numbers by hatry field. I heard that it is so controversial and I want to hear your opinion to see if it's worth reading. Thanks in advance
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  1622. Some day I will mathematically show you that things you say are not easy as they appear to be
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  1623. Albert Einstein, despite struggling financially, made time to study physics and math before he got a low paying job as a patent clerk at the age of 26. At that same age he published 4 papers that completely turned the world of physics upside down. If Einstein could make time to study math and physics (or anything for that matter), you can definitely make time to study math.
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  1624. I have two master degrees: on in maths and one in physics/engineering. I thought the engineering degree was more complicated because it is all over the place. As you said you have to learn maths, physics, but also a lot of "soft" skills like project management, industrial drawing, accounting ... And in the maths part of the engineering degree, you look less at proofs and more at concepts and how to apply them. The problem of this approach is that you can create large gaps in your mathematical understanding. In my case I went to the conclusion that "proofs are not for me", until when I got more interested in maths later.
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  1625. I had a friend who was doing his master's in maths, but had a computer science background. He also had a job, so he would work for 10+ hours every day. He had to take undergraduate analysis and algebra before he could join the programme. He was unable to attend these classes as they were in the mornings and he would be at work, but he managed to ace them both. In his master courses, I believe he got all As. He didn't know maths well, he still doesn't like pure maths and he wouldn't get time to study thoroughly, but he would still get As. He told me that he wouldn't get time to solve too many problems, but he would keep thinking about the theorems and their proofs and applications. He would ensure that he understood every concept deeply. He didn't work hard solving tens of problems from every chapter, but he still made it. Now how do you explain that?
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  1626. It’s pure motivation. I think when I attended college “younger,” all I cared about was the validation. Now that I’m in my 40’s, school is for me. Something I love. Wisdom comes to those that open themselves to it…
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  1627. This came at the right time, i really needed this lol
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  1628. I’m a retiree learning Spanish and find your insights/opinions/experiences very valuable. After I listen to you, I feel empowered and motivated! 😊 Thank you!
    48
  1629. AFAIK, "PL/I" reads as "pee-el-one". Also "RISC-V" is "risk-five", just in case.
    47
  1630. Mate, you’ve produced so many videos in the last few weeks. You’re supposed to be winding down around Christmas!
    47
  1631. I used Linear Algebra Done Right by sheldon axler. It's concentrates more on theory than applications. If you're willing to take the time, it's a pretty good read for a beginner
    47
  1632. Overall, calculus isn’t that tough compared to some other classes. However, the workload can be quite heavy for some calculus classes. If you don’t understand something, generally you can go to office hours and pick up the concept pretty quick. Just be ready to sit down and do a really good job on the homework and do a ton of review and you should be able to get the A. Also, something that greatly helped me before college calculus, was taking the business calculus at the community in college in high school. I would recommend this if you have the chance. But also, high school calculus could be a great help too. And honestly the grade you get in high school doesn’t matter as much as you think. But seeing the material before you get to college will help immensely.
    47
  1633.  @TheMathSorcerer  I think the crowd has spoken... We want our how to learn math "Start to Finish" elementary to high school edition!
    47
  1634. First I read casually, then by attempting exercises I read it again and again. I don't think it's possible to get a topic just by reading, even carefully from the first time, every math statement contains too much information, you have to let it sink in gradually again and again.
    47
  1635. I had a really bad flashback when you said "like these books behind me"; I though you were going to immediately talk about the Ferrari in your garage and hustle me to sign up for some webcasts.
    47
  1636. For Physics I suggest this roadmap: Feynman's Lectures, Electricity and Magnetism by Purcell/Morin, the one by Marion and finally the one by Jackson,Mechanics by Taylor and the one by Goldstein, Mastering Quantum Mechanics by Zwiebach, all of these to master undergraduate level. There are many other excellent books/authors, but the ones I I mentioned are what I consider the core.
    47
  1637. The last time I came this fast, she never spoke to me again.
    47
  1638. Richard Feynman had Mr. Bader as well. "When I was in high school, my physics teacher—whose name was Mr. Bader—called me down one day after physics class and said, ‘You look bored; I want to tell you something interesting.’ Then he told me something which I found absolutely fascinating, and have, since then, always found fascinating. Every time the subject comes up, I work on it. In fact, when I began to prepare this lecture I found myself making more analyses on the thing. Instead of worrying about the lecture, I got involved in a new problem. The subject is this—the principle of least action." from "The Feynman Lectures on Physics", Vol.II, Chapter 19.
    47
  1639. Reading 10 pages of math every day will put you on track to be successful. It may not pay off immediately, but eventually, your hard work will help you ascend to the top of your class. Best wishes.
    47
  1640. I think this exam is pretty easy if you consider all of the decent handouts and practice exams (the midterm exams are also pretty good for preparation, each exercise has a recognition value). In the other hand, even a trivial/easy exam would be extremely hard, if the given or nongiven preperations are bad or misguiding. And the amount of points needed to pass this exam is unknown.
    47
  1641. What about taking notes in Latex? I started learning latex by taking notes while self studying and I really think it's helping a lot. I'm studying computer science and relearning math on the side. Idk why but just having the notes after a proof of what I've learned or at least tried to is super motivating for me.
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  1642. Kreyszig reigns supreme among math authors. I have all of his books. His advanced engineering mathematics is the essential reference for practicing engineers and scientists. Kreyszig’s text on differential geometry is an absolute gem for clarity and is the essential gateway into a deeper dive by Spivak’s masterwork in this field.
    47
  1643. Recently finished my calc 3 final exam, feeling good about it :)
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  1644. When you become proficient in ring theory, you will be a Lord of the Rings :D (Sorry, I had to.)
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  1645. I have studied the Pure Mathematics in UK Open University. My tutor was British, of course, but he said me he has learn Russian language just to read Russian Math books! 🙄 He was not good in Russian ordinal conversations with me at all, but he could read the math books in Russian quite well and fast, I was really very excited about it! I didn't expect that!
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  1646. I am currently reading "Mathematical Analysis" by Vladimir Zorich, but I have not seen many more or less thorough reviews on it pretty much anywhere despite how good it is. This book has an English translation as well
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  1647. With the current system, everything being focused on tests (including grad school and getting in), they matter to go to the next step. But in reality, they do not matter. Many people can get straight A’s, but they forget the material soon after the class anyways. There are many people with straight A’s as an undergrad, and they go to grad school or even Professor at a university and don’t do much with research. A new system for testing knowledge is needed
    47
  1648. As a physicist student, I love electronics and CS. Thanks for this recommendation, I didn't know this book. Seems like a nice compendium with lots of information! (PS: I love your book recommendation videos. Keep making more of them! Thank you Math Sorcerer, your content is very insightful
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  1649. Computer science can be learned with youtube videos and a cheap laptop. After that you get a $500 certificate and can land an $70k/year job overnight. I did this 10 years ago and now make $100k+ with zero student debt. I want to head to the big leagues in terms of tech work so I'm back in college as an adult for Pure Math. This stuff would be very heard to learn outside of school or on my own and there aren't really any jobs out there for scientists and mathematicians that accept cheap 1-week certs the way you find there is in Computer Science. Math all the way.
    47
  1650. Absolutely. I remember when I started doing Algebra I was like "I'm gonna fail math", at the I was not the top student so every day I practiced and learned math. Eventually I came to love the subject and one day I realized how different my mindset was to learning something new. I said to myself "Just practice and practice you will get better. " This has helped extremely to point where I now have the curiosity of a child, now I see failure as a way to learn (I don't fear it). So, yes, I completely agree.
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  1651.  @TheMathSorcerer  Actually, euclid's books are the second most studied books in the world. The most studied being the bible. thought that might be interesting.
    47
  1652. I needed the Bateman coefficients for the radon decay chain calculation and had to revert to an old textbook (1970s) to find them. Modern science textbooks seem to gloss over some of the really useful stuff as they have to appeal to the larger market of students rather than the limited market of experts working in the field. I'm not in the least surprised they had this book there!
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  1653. I just finished my Masters Thesis!
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  1654. Better move slow and consistent than fast and stumble. The internet gives you a false impression that everything must be fast and now. The truth is that as humans, we need to take things slow, evolve, fail and learn, success is slowly built.
    47
  1655. Self studying real analysis is insane
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  1656. I always struggled to prove even the most obvious and intuitive things in set theory but your proof made it clear how easily it can actually be. A very elegant proof indeed ❤️
    47
  1657. Oh man, “Fear of Failure,” I was in fifth grade. The teacher was trying to teach us rudimentary physics. I’ve never forgot being pulled to front of the class and being made to feel like a jackass because I didn’t know about seesaws. I mean it’s stayed with me my whole life. I do feel what you said is true, “about the teacher liking you.” It’s true. If they like you you got it made in the shade with a glass of lemonade if they don’t like you it’s going to be hard go of it. It shouldn’t be left to bias but it does.
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  1658. Thank you so much they expect us to be pros in using stuff like this without even teaching us how to use it
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  1659. Love your content Math Sorcerer its great to see these gems of books!
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  1660. The most important reason not to study math: After you start learning it you won’t want to stop. Haha! Math is awesome.
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  1661. Thank you, Math Sorcerer! I’m so very glad you shared this pedagogical GEM to your audience. It is a wonderful guide to all of engineering mathematics. The textbook by Wylie is the one I used when I was in my first year of Engineering studies back in the early 1980’s!! It is written in a superb style, very clean explanations, as you said. This book contains an abundance of examples throughout the text, and covers all the essential mathematics you will need in any engineering field of study as well as in physics. I have referred to it numerous times throughout my engineering career— always provides the insights I need when I need it.
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  1662. The best teachers are always on the internet.
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  1663. It is now
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  1664. This is gonna blow up I'm warning u
    46
  1665. A little more advanced but still very useful would be "Stochastic differential equations" by Bernt Øksendal. A lot of research in quantitative finance is based on stochastic calculus and stochastic/random processes. So anything related to that would be useful.
    46
  1666. That is true, I am definitely not working hard enough
    46
  1667. Wow, I’m really impressed by the structure and breadth of this book! Probably the most unique and comprehensive proof-writing book I’ve seen. I think it will make a fine addition to my bookshelf. Thank you for sharing :)
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  1668. I took calculus in the 11th grade (high school), and there was no math class for me to take in my senior year. My brother, who teaches math, suggested I do an independent study reading this book. It was by far the hardest mathematical book I'd read up to that point. I remember repeating to myself, "Ok, a compact set is one where if I cover it with an infinite number of sets, I can find a finite subset of those sets that also covers the set. What the heck is this supposed to mean?!? Why is this significant?" I only ended up reading a few chapters, but I learned a lot; more than I realized at the time.
    46
  1669. Below, tap on blue-highlighted time to see any book of interest. 0:30 — The Graph Theory by Ronald Gould. 1:30 — Abstract Mathematics by Robert J. Bond and William J, Keane. 3:05 — Naive Set Theory by Paul R. Halmos. 4:03 — Elementary Introduction to Number Theory by 5:36 — Elementary Linear Algebra by Howard Anton 7:42 — Abstract Algebra, A First Course by Dan Saracino 9:24 — A First Course in Probability by Sheldon Ross.
    46
  1670. Micro Strategy Founder (Michael Saylor) Lessons 1. Focus your energy on the most import tasks 2. Guard your time 3. Train your mind (keep your open mind to learn whatever) 4. Train your body to be healthy 5. Think for yourself (make your own decisions) 6. Curate your friends (you’re who you hang out with) 7. Curate your environment 8. Keep your promises and commitments 9. Stay cheerful 10. Upgrade the world (Contribute with the improvement of society )
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  1671. My advice would be kinda obvious and maybe somewhat arrogant and maybe will also sound impossible time wise. In my experience if you feel this drowning feeling, it means that you have some very big gaps somewhere in your knowledge which must fill in order to be able to go forward with the specific subject. I would suggest, regardless if time allows, to go back and master every hole you have in your math background. For functional analysis is probably analysis and topology. So I would say that you should go back and master this two topics by solving at least a whole big book on both this subjects. In the meantime I would try to do the same with functional analysis, i.e. find solved problems from some other books or online solutions or solutions from online lectures and solve EVERYTHING, proof examples, exercises. If you cannot do it yourself, which is what will happened 75% of the time at least maybe even 90% then write down the solution and try to do it your self again until you don’t need to see the solution then mark the exercise with red. Then when you finish the particular chapter with all the proofs and exercises, go back and try as a test to solve all the marked exercises i.e. the exercises or proofs that you could not do yourself! And on and on and, this is the most safe way to master any subject imho!
    46
  1672. Life is a marathon, not a sprint. Sometimes you're ahead, sometimes you're behind, but the race is long. In the end, all you can do is compete against yourself.
    46
  1673. "when you go to class, hopefully you have a teacher" haha
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  1674. assume people cheat make tests harder this ya been my experience for my engineering online courses
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  1675. We appreciate your hard work and consistency. We find this video very helpful.
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  1676. This is man is a blessing to all candidates including me❣️❣️❣️. Keep it up sir ur teachings are always powerful
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  1677. Having taught college chemistry for some years, it seems you left out a phrase: "If you don't know how to do a problem on your homework or an exam, please feel free to copy the homework from another student or ask another student for the answer during the exam." Have a great day.
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  1678. Math Sorcerer low key thirst trapping us.
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  1679. I am a mathematics major and I love it so far. I was homeschooled so teaching myself was a must.
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  1680. Forget about learning maths too fast. I clicked this video too fast. First
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  1681. man i am tearing up all day and this really helped me in general
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  1682. Man it feels like I've known this stuff in the back of my head for years, but I could never properly implement them properly for my study time. I hope that eventually that I can be extremely hyper focused with studying; that I can live in an environment and be in a position where I can read from a ton of math books without looking for a PDF in a computer, with no noise, no need for music or distraction, just the pure immersion and love of studying math.
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  1683. There is a free Springer ebook by Sheldon Axler, the author of "Linear Algebra Done Right", called "Measure, Integration & Real Analysis". He just published it this year. I am a first year undergraduate math student and I was curious, so I downloaded it and I find it hard but very friendly.
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  1684. the mumbling teacher barely trying to be understood hits way too close to home
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  1685. There is also another book of the same spirit, "What is Mathematics"? Can you please review that? Thanks.
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  1686. I could do problems but i failed because i wasnt fast enough.
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  1687. I think these lessons are especially important for those who are naturally gifted at math and choose to study it at university. Possessing natural talent in no way prepares you to be a goal-oriented and functional human being. In fact, having things come easy introduces more opportunities for complacency to settle in. It's also not something you can master and call it a day. It's the struggle of a lifetime, but it makes all the difference. Thanks, Math Sorcerer
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  1688. You are MORE than a Professor, you are a humanitarian and I appreciate your perspectives on discipline and life. Continue to encourage the world👍
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  1689. I am Latin American and as much as I praise Rudin, Lang, Lee, Ross, Rosen, Thomas, and Spivak, I do want my children to learn in Spanish first. Thus I am very glad that you have showcased this book which I will consider buying. I will in addition try to get Spanish versions of the aforementioned books. I know Rudin has had his translated.
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  1690. Not strictly a statistics book per se but I think the "Probability: For the Enthusiastic Beginner" by David Morin is really good for beginners.
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  1691. I appreciate you recommending texts and have a lot of respect for someone who tries to lead us to better learning
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  1692. I wish I have money to buy these, sadly I'm a broke college student 😭😭😭
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  1693. Hardworking is addictive. Once we experience the joy of success by hardworking, then we cannot stop😂
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  1694. I’m really in love with math. Currently starting a degree in computer science and been following your channel for a long time now. Keep bringing the love of math to others my sorcerer! ❤️
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  1695. 0 dislikes for a reason. don't know how I would pass my DE class without this channel
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  1696. Remote learning has been difficult since COVID, but it's made even more difficult when your DE teacher tells you (essentially) to learn the class yourself! No lectures, and all of his notes are in pure math-speak with no abstraction to speak of. So, needless to say, thanks a lot!
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  1697. You are the average of the people you surround yourself with. This advice works in all areas of life. If you are with people that push you to be better… you will get better.
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  1698. I just love how there is calculus for all kinds of subject, it just really shows how diverse it can be. Calculus is truly of beauty.
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  1699. The Math Sorcerer has retreated to his dark forest hideout to find reagents and prepare alchemical solutions away from the prying eyes of simple townsfolk...
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  1700. Gantmacher’s Matrices, Kolmogorov and Fomin’s book on Functional Analysis and Elsgolt’s Differential Equations books are my favorite introductory books ❤
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  1701. I think it depends on the course and the professor. When I took college algebra and precalculus, I managed to finish the course with a 100% on everything since the professors were rather relaxed. When I got into calculus 1, the professor was much stricter about the approaches we took to solving problems. I got every problem correct, but lost a total of 6 points all semester due to the professor not liking the approach I took to the problem. In calculus 2, I only lost 1 point all semester due to missing a negative sign at the beginning of a problem(This was fair of the professor to take off points). It is possible with enough hard work and determination, but tough graders can make this a lot more difficult to achieve. There is also the notorious professors who don't believe in giving 100s even if everything is perfect. I had one of those in my introduction to proofs course.
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  1702. Great advice! I got my Masters in Pure Math from Queens College in NY, and started a PhD program in the CUNY Grad Center but working full time, daily commute, lack of time to study took a toll on me so I had to stop. But I have met some really interesting mathematicians, PHd students, great faculty, studied many great math topics ...this experience stays with you for a life time.
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  1703. I remember when I took the Math GRE in the early '80s. About half of the stuff I had never seen before in my classes. I basically "flat-lined" the test. My graduate advisor told me not to worry, that the universities were aware of the difficulty of the test. (I was going for an MA, not a PhD). Sure enough, I got into all three of my local universities. The ones I actually would go to. One thing I've noticed on standarized tests, is that a lot of times they will ask questions "backwards" of the way you are used to working problems out. Or they will ask questions that will appear to require an excessive amount of calculations, but can be worked out by reasoning, rather than brute force. They give you a 6x6 matrix and ask for the determinant. It would take an hour or more to calculate it by hand and then you'd probably get it wrong, but if you notice that one of the columns is a constant multiple of another, you know that the determinant must be zero. Or they give you the value of a definite integral and ask what was the function. Better yet, they ask when is a function Riemann integrable. They expect you to know that it's Riemann integrable iff the function is continuous almost everywhere. (ie, except on sets of measure zero). Of course, I never studied Lebegue measure as an undergrad. I don't think a lot of people do.
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  1704. This applies to everything in life. Even working out, one of the best feelings is when you get stronger.
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  1705. The way you asked me if im happy with my life as you stared unblinkingly to the camera really touched my soul
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  1706. If it is not hard or harder than undergrad math, then it won't prepare students well to research write dissertation ,and it won't weed out students who are not PhD ready, thus wasting the student's time , their adviser's time and the school's time. So grad school has to be harder than undergrad. It has no choice.
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  1707. I encounter these sorts of questions in my daily work. Most specifically the analysis of beams. Although, I can describe the deflection of a beam by use of a differential equation, someone else has already done that for me. Roarks handbook includes this in algebraic form. There is no need to recreate the wheel. In college this sort of exam is not to test your practical skill but rather to test your understanding.
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  1708. After I started my engineering degree I started hating math to the extreme man math after high school is scary 😭
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  1709. "This is the class that makes math majors reconsider their major" this hit home. I honestly only passed because of a curve. I remember going into to the final and answered 0.75/10 questions. First question was a "recite the definition of a partition" and I basically just froze there and wasted about an hour staring at my page. Had another question where I probably just wrote down "By the Bolzano-Weirestrass theorem, this is true"
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  1710. I already have many years as a trader and investor in Brazil, and knowing how to analyze the charts helps me a lot, you are absolutely right. I really liked this book, I will buy it as soon as possible, thank you.
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  1711. My father [I miss him badly - He was a math teacher and a great admirer of Pólya] once told me that math is basically applied good sense.
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  1712. Me: being able to evaluate integrals by substitution and integration by parts Also me: I guess you can compare me with Newton
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  1713. This is more of a "soft" potential reason, but I think it's also a very significant one. I think, in general, the vast majority of people and educational systems in the US (I can't say if this is true of other countries or not, but I'll touch on that in a second) have lost sight of the "spirit" of mathematics a long time ago. I'll illustrate what I mean with an example. Consider integration, as covered in an introductory calculus course at an American institution. The professor (and the textbook) spend at most a class period or two discussing the logic and construction of the Riemann integral, and might say a few words here and there about its applications. Then, two to three weeks of class time are spent covering techniques and examples of integration in a very abstract and, frankly, arcane matter. Then students go home and have 20-30 problems to work practicing these techniques and "magic tricks" on problems that do nothing more than throw an integral at them and tell them to solve it, with no context or scenario in which the power of integration is shown. Rote, mindless computations. Naturally, the student is frustrated by this massive load of problems thrown at them, to be graded in a week's time when they're taking 12 or more hours of equally challenging and/or time consuming coursework, and they have no clear picture of why they're doing this. As frustration snowballs over the course of the semester, the student becomes more and more detached from the subject of calculus, and likely mathematics as a whole. Then the tests come, and data from final examinations show that half the class failed, particularly on the problems concerning integration. What happened? Didn't I give them more than enough practice problems on this? Maybe they just aren't capable of thinking critically...I'll just have to lower the bar next year. Why was integration constructed? What problems are solved using integration? And how do I know the theory and techniques I'm using will actually work for the problem I want to solve? This is the issue I see with the mindset most people (even some mathematicians) in the US have in regards to mathematics education, and mathematics as a whole. Very little focus on logic and application, and too much focus on computation techniques. Instead of 20-30 shallow computational problems for homework, give 5-10 dense word problems which require a healthy balance (a "diet", if you will) of logic, application, AND computation. Make the students construct the integral, and evaluate it to get a tangible result. In lectures and textbooks, take the time to discuss the applications, historical development, and reasoning behind the mathematics you're teaching. Do more than just throw "magic tricks" at students and expect them to repeat them. Now, some students will have a natural aptitude and fascination with mathematics, even if it's presented in the high-computation, low-logic/application educational format. These are what most people call "math people". Personally, I don't like it when people have the notion of "Oh, I'm just not a math person." Anyone can be a "math person", but not everyone can be a "straight-A math student". And, usually, that's by no means the fault of the person, but rather the fault of the narrow-minded educational curricula and assessments we have in this country. Why might this system work in other countries? It all boils down to cultural elements that deserve their own, separate discussion. Seemingly endless repetition of computational exercises might make star mathematicians in other countries, but is far less effective here in the US. To summarize: I think a large part of the problem lies in the fact that, in the US, mathematics is viewed as a meal consisting of an entree of computation, with a couple of side dishes/desserts incorporating application and logic. Instead, the meal needs a balance of all three elements. Set expectations high for your students. If over 70% of the class can't correctly solve most of the problems, then there's something wrong on the institution's side, not the students'. That is, of course, if your intent is to make the population as a whole aware, appreciative, and comfortable with mathematics (and, in my opinion, uplift a vastly greater number of young mathematicians to be on-par with their international peers). However, if you're content with the status quo, and comfortable with keeping the beauty of mathematics known to a select few elites, then the system is likely fine the way it is.
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  1714. Professor, Please do a video on Computer Science, books to get started in Cs, specifically CS engineering
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  1715. I went to college at 42 years old, with a HS GPA of 1.7! Took remedial algebra, precalculus, and the calculus sequence through multivariable calculus. Got an A in every course except one: the remedial algebra course! I did problem sets on yellow legal pads, and by the end of MVC the stack of them was over 4' high.
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  1716. I have viewed thousands of youtube videos but I have never been the first person to view a video. This is my first time. I bought the book you recommended "CALCULUS MADE EASY" by Silvanus P. Thompson and Martin Gardner. The book arrived today December 17, 2022, at 5:01pm California time. Right after I read chapter 1, I started viewing your latest video "The Most Famous Book on Set Theory. I was happy to be the first viewer. Thank you for your countless and wonderful videos.
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  1717. So if I study 18 hours a day (like Newton), then I'll have mastered calculus in 8 years?
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  1718. Hi Math Sorcerer! Love the content as always and I've been really enjoy these book reviews lately!
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  1719. I’m an adult student and my calc 1 teacher had us write an optional paper and one of the things I mentioned was that you have to learn how to humble yourself because we can jump the gun by applying logic we already know to a problem that the logic does not work on. Humility is the biggest existential/moral lesson in mathematics.
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  1720. What even is Calc 7? Is that like complex PDEs or something?
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  1721. Math is such a peaceful subject. I find myself thinking clearly about difficult topics after a good chapter.
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  1722. I will definitely buy when I have decided to melt my brain.
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  1723. I was surprised to learn you didn't finish High School. It really puts into perspective how achievable mastery really is. After becoming interested in economics and finance, I eventually realized how crucial calculus skills are in the field. I may have dropped out, but after finding my passion, I'm led back to math. Thank you for sharing your perspective and tips for learning as a solo, self-taught student.
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  1724. It's amazing that you as a Math teacher struggled with matrices..I love linear algebra but when it comes to the computations I feel like a 8 year old (although they might be able to correctly calculate 3-4, which I have learnt I'm not reliably able to do)..So now I use a calculator to manually do the calculations...
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  1725. I'm finishing up my "save the semester" era, and almost ALL of the points he covers are things that I had to reassess in order to overcome my shortcomings.
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  1726. He is so good at self studying, he studied Greek mythology and joined the table at Olympus!
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  1727. Hello Professor, Have been following your channel for about a year , while preparing for graduate school entrance exam... finally got the call letter for interview , for the intrgrated Ms-PhD course in Mathematical Sciences from the best institute of my India.. Indian Institute of Science Bangalore... thanks for creating a place ,for passionate math lovers❤
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  1728. Getting a degree in Electrical Engineering is akin to getting two degrees, one in Math, and one in Engineering.
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  1729. I'm a physics graduate student and can relate in so many levels. I realized that to be a professional physicist it also takes a lot of work. It's more than a job, it's a way of life.
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  1730. Wait Andrew Dotson? Flammable Maths? What happened to your channel? This is the math sorcerer? V. Confuzled
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  1731. Did anyone else just completely fixate on his impressive array of books in the background throughout the entire video or was it just me 😂
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  1732. I really like the phrase "mathematical happiness". I have never read a math book without a piece of paper and a pencil. I love the idea, and I will give it a shot! Thanks for the awesome video. XD
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  1733. stop giving me ptsd
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  1734. Unfortunately, I can't find a mentor. Nevertheless, a legend like you on YouTube is my indirect mentor.
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  1735. Any person that is fiercely invested into an activity is going to tend to spend their time on it rather then cultivating relationships, including myself. Especially with such a timesink as mathematics. You only have a finite amount of time in a day, and sometimes you have to sacrifice other aspects of life.
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  1736. Alright, I'll give this a try with Richard Hammack's "Book of Proof" which I started working through yesterday. I hope I find happiness!
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  1737. If only pentakills were that easy :D
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  1738. I retired from teaching Physics last year at 67. A particular topic or problem can still possess me for hours on end. I found that mature students had a positive effect on the ethos of the class (mostly 18 yr. olds). Two students in my final class told me they were really old, at 30ish; they were both exemplary students.
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  1739. I had an equally terrible experience. Try tilting a laptop camera to show your hands while reading the exam from the screen. Don't have two monitors? Not my problem.
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  1740. This kid is going to be the next Isaac Newton. I'm impressed.
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  1741. About the giving yourself time: I have always wondered one thing: There are topics which after a long time start to make sense and feel natural, but here is the thing, I cannot really distinguish if the constant working with the problem made it natural or intuitive OR I am really starting to understand what I am doing. I feel this is not the same thing, at least in my experience. Anyone have same experience? Sometimes being able/or not to explain something in easy language while still being quite accurate and logical helps me realize if I just got accustomed to solving a problem or if I actually indepth understand what I am doing...
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  1742. Why am I more interested in this, then My algebra 2 homework 2 clicks away.
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  1743. You made me fall in love with maths , waiting for more super cool videos and for more spell book suggestions ❤❤
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  1744. There is a really great book on learning called ‘make it stick’ by Brown, Roediger and McDaniel. I’ve read it and it takes a scientific approach to learning. I really recommend it.
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  1745. Nothing like coming inside after a long day of work in 100+ degree weather and be meeted with a math sorcerer video. Great stuff man. I’m currently working through Jay Cummings book, going through a subsection a day and it has been helping me a lot. Really like the structure of his book too, makes things easy to follow and you get introduced to proofs immediately instead of having to learn sets and logic first. I’m actually on the sets section right now, and it is great.
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  1746. So right. My driving force for doing math, does not come from inspiration, it comes from fascination. Just sit down with printer paper, a pencil, and the books, and then magic will happen.
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  1747. I have this book and I know Dr. Andrews. And he knows me. When it comes to higher level mathematics he was probably one of the best math teachers I've known. I have three of his books, the other two are Mathematical Techniques for Engineers and Scientists, and Elementary Partial Differential Equations. If you want to see some harder problems, look up the gamma function.... Actually, I used this gamma function to solve a real world problem in diffusion in 2D quantum wires. This particular problem also involved Legendre polynomials, a Heaviside function, a Fourier Series, all buried inside of a differential equation which was buried inside of an integral which came in two parts. It was fun. It took me six months to figure it out, but it was fun.
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  1748. "Video games taught me how to read and write" what a legend 🤣🤣
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  1749. From an upper level course yesterday: "Are you familiar with how mathematics works?"
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  1750. I would also just like to give a mention of Aluffi's Algebra: Chapter 0. A very unique, and uniquely category theoretic introduction to algebra that I have no doubt will become a classic in time.
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  1751. The mention of applications to computers should not come as too much of a surprise in a book from 1965 when you recall that Fortran was available in 1957.
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  1752. I think that mistakes and failures are also part of the process.
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  1753. please do more physics books, im really interested :D
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  1754. Calculus 2 was harder than Differential Equations for me because Calc II was the first class where I was exposed to the rigor needed to succeed in engineering courses
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  1755. MY TOP 4 PET PEEVES/ FAQ : 4) people: "oh, you study Math? We're DEFINITELY bringing you to Vegas next time we go!" Me: "for the 4th time: 'I. don't. count. cards;' (...do you still want me to come?") 3) my family: "Hey the bill is 83euros, what would the tip be in dollars?" Me : "I need something to write on." my family: "I thought you were good at Math, you're supposed to do it in your head!" 2) my bruh: "bruh, there's a Calculus3 class and you passed it??? Thats like some Einstein s**t, bruh!! So, why'd they stick you waaay back in Linear Algebra after? Were they jealous of your mad skillz? You sleeping with the Dean's daughter, bruh?" Me: "Yes, thats exactly how it went down." 1) random guy: "Ok, SQUARE ROOT OF 1862!!! READY?? ....GO!!!!" Me: "I'm not Rainman!!!!!" (whats bad is that I admir these stories are exaggerated... but only by a lil bit lmao) 😂🤣
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  1756. "Physical class." That's a concept I feel very estranged from.
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  1757. I have to admit, you sir are a great synthesizer of knowledge making every single advice really easy to understand going always to the main point!
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  1758. Thanks for sharing your knowledge. I am a Brazilian high school student who faces many structural difficulties in public education. I believe that actions like yours change lives completely. Long live knowledge sharing, Aaron Swartz would be proud...
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  1759. Me han dicho que lo mejor que puedo hacer son dos cosas: 1. Tratar de crear una intuición en la mente, usualmente geométrica si es posible. Esto se me hace muy fácil. 2. Hacer anotaciones de los teoremas, sus pruebas, ejemplos, y ejercicios. Mi problema con esto es que usualmente termino copiando el libro y no siento que estoy haciendo nada, simplemente escribiendo hasta que haga “sentido”. Ósea, puedo entenderlo lo más seguro, pero el asunto cae en el mismo proceso de tomar notas.
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  1760. I feel ya. My professor said you guys are gonna take exams from home which means I won't be able to see who's cheating or not and I will make the tests harder. I mean, did we plan to stay at home to take those tests? hell no. And now I have to find all the sources across the internet for the hardest exam to prepare for it. Smh!!!!
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  1761. Also entering calc 3 soon starting to self study mostly worried about electricity, light & magnetism physics with calculus which is why I have read 4 chapters, good luck all & congrats on 500k👌💫
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  1762. Depends on your definition on hard. Electrical Engineering had 40 hours of class a week for 4-5 years. For Math we had: * Calc 1,2,3 * Differential Equations * Complex Analysis ( a lot of our signal theory needs to be transformed into the frequency plane using complex analysis - google a smith chart if you want a migraine...) * Linear Algebra * Statistics * Discrete Mathematics - concerned with mathematical proofs For science, we had 2 years of physics We had a lot of the computer programming courses and more hardware courses not found in a CS degree but more a Computer Engineering degree. In terms of sheer workload, it is hard because you had to balance so much of your time across so many subjects. In terms of complexity, it isn't really that complex but the sheer volume of information you're inundated with throughout the course is frankly too much. I had friends who dropped out and went into med school, and quite frankly they're doing much better financially. In terms of financial reward, it doesn't quite equate to those working in Investment banking, Law or Medicine or Software Engineering. You're better off choosing those degrees in the future.
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  1763. Didn't expect to find this motivational, but here I am excited to get out of a slump and study math.
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  1764. You're a gift to humanity math sorcerer. Thanks for your great work.
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  1765.  @TheMathSorcerer  it's a bit more complicated. The course is rigorous but contains some calculus exercises. But you need to do proofs. There are some engineering colleges that are lighter on proofs and most calculus like but these are classes for engineers
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  1766. Self-taught mathematicians always make a breakthrough in the math. Jungle.
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  1767. When I read the title of the video I immediately remembered Paul Erdős. He's had no home and just enough money to get by, and yet he's one the greatest mathematicians I know. He used to have a plastic bag with all of what he needed and had only one set of clothes.... I just admire him
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  1768. I just choked on a PhD prelim. I'm gonna be honest--I really, really want to give up on math right now. But, I'll stick around until either it gets better or they give me the boot.
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  1769. That book is a beefy boi
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  1770. Hey Math Sorcerer, Aman, and everyone :D I definitely feel for Aman here. I am an astrophysics student at my university, and I knocked the first midterm out just fine, but failed the second midterm. After that, I did begin to feel awkward asking questions in class because I "didnt study enough to ask." But in reality, I was staring at Carroll & Ostlie for way too long, and I didn't give my brain a break. I took two days to myself where I did nothing but play video games, sit with my guinea pigs, and do things around the apartment. I did have moments of saying "oh god you're being so lazy what are you doing?!" but honestly, my motivation came back and it's been back. Now I make sure to take some time in the evenings to play at least one round of Mario Kart :D Also, for Aman and other students who feel like him: You do not need to compare yourself to your classmates. I used to do this a LOT, and I know that this sounds ridiculous (at least when I first heard it, I had the thought of "but if I am not getting it as well as the top student, then I must be one of the dumb students!"). But you are in the class for yourself to learn. Not to be the best student. If you begin focusing on yourself, or working with classmates to figure something out together, you'll naturally become successful in the class. Preoccupying yourself with how others are doing really clouds your own learning and motivation. I hope this helps! Thanks Math Sorcerer for all the great advice videos. They've been helping me out quite a bit!
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  1771. This is a great book. Larry Andrews is an emeritus professor at UCF CREOL. He's very nice guy. I knew one of doctoral students Olga Korotkova.
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  1772. Just imagine showing this to someone from 2019 without context xD
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  1773. Another excellent choice for self-study would be Physics for Scientists and Engineers (9th ed.). I will come back to the video when I get out of work. I double majored math and physics as an undergrad, and wish our textbook for the freshman year had been this lucid.
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  1774. I studied economics and... i never learned a lot of calculus :(, i had a bad high school and its only an excuse i know, i'm the problem, but now i want to learn mathematics since the beginning, your video about learn mathematics from start to finish inspired me! Greetings from México!
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  1775. There are people who have studied maths in school for years to get math major. And if I ask them to teach me maths, they'll hesitate or decline because they get jealous of people learning too early and being master at it or to see someone is better than you. But you showed us how to be the best at math from scratch and for absolutely free. You have earned my respect. God bless you.
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  1776. Correct. This is the best advice ever. Also ... FOLLOW this advice BEFORE you go to university. You must LEARN this stuff on your own PRIOR to ever setting foot in a classroom ... and you will ACE that class !! That is how it is done. Do not expect to learn this material at the same pace under pressure of running around on a campus. It is not possible. That is a recipe for failure - and the main reason why most people fail this class. Study it independently, on your own ... LEARN some things, then when you show up you will seriously ACE this class.
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  1777. Multivariate is usually the most difficult one. The trick is in learn how to understand level curves and projections for the purpose of determining where your bounded axis variable is and then make the function simple in terms of that variable.
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  1778. yes, it does. After 15 years of making daily mistakes in the language hobby, I completely agree. I have persisted, paused, and been patient when needed, and now am confidently proficient up to the European B level standard in all skills for 6 languages and with 2 more in the works for 2022 -- (not counting English). I am trying math again as a hobby in 2022 to test some of these skills from the language hobby. (As the skills for each hobby differ a little and I want to understand them better). I saw your first videos on math as a hobby in early 2021, tried it out, but then got stuck and stopped. I didn't think I would return, but something won't let me just walk that easy. Having a better game plan for 2022, I'm hoping to least to make it up to Diff EQ, at least getting the broad view of things, then diving deep later in the future.
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  1779. I started my calculus with Calc by "James stewart" and it was to intuitive.Still my favourite book for beginners.But spivak is a goddamn blessing for humanity
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  1780. When it comes to studying, less is often more. It's like lifting weights: you have to do the work to get the results, but you grow when you rest. If you were doing the same exercises every waking moment of every day, you'd end up weaker, not stronger. Math is the same. Your brain needs time to digest what you're learning/process it in the background, so if you're doing it every moment of every day, you start to slow your learning. Especially when you lead yourself to burnout - you won't learn a lot of math by setting it up as something that hurts you! I set boundaries with math. I've scheduled my day so I can do most of the work in the morning and throughout the early afternoon. After 5pm, I'm not allowed to study math anymore, unless I really feel driven to (and not because I "have" to). If it's past 5pm and I'd rather be doing something else, but there's still math to do, I take a look at my time management: something's not right if I haven't hit the day's goals on time. Something I tell people who come to me for math help: I'd rather see you study 30 minutes every day and keep it up, than study 12 hours a day and eventually stop.
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  1781. Yes, that's exactly how I feel while studying real analysis. But it's easier at college because what you'll see on your tests will be similar to what was taught in class (usually)... and you'll know the types of problems your professor expects you to solve. University exams are generally easier than textbook problems.
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  1782. The laws of physics as outlined in these textbooks don't change, so therefore, any edition whatever is fine and dandy. The publishers keep re-treading them (changing the problem sets, adding 'new' features, twiddling with the layout) but it's basically the same book every time. My own personal favourite is Sears and Zemansky - I'm emotionally attached to it, it's a close friend. ❤
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  1783. I really hope you guys appreciate his advice and take it seriously. Cause this is preeeettyy close to a scientifically based guide to happiness. Thanks for putting this great advice out there for whoever needs it!
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  1784. In Linear Algebra: And we all remember this principle (that you haven't used since) from Calc 1, right? *furiously looks for notes taken by your little-lost-freshman self... in a bookbag... in a closet... in a trashcan.... at your moms house.
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  1785. 1.Focused on study time 2.Eleminate distraction 3.Find distraction free zone 4.Make sacrifices 5.Clear goal(keep the goal in mind)
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  1786. Do a video on what a brilliant vs not so smart person actually is. No one talks about this. And then follow up with both after they’ve follow ways to get smarter and see if either improved
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  1787. Agree with your message from the bottom of my soul, my journey towards success in math was after I failed my calc class 1st year in college cause I relied on a friends help who ultimately stiffed me when it came time for finals, I failed that class but it pissed me off so much cause I knew I had it in me but was lacking effort. Needless to say I came back the next year and aced the course and it was the catalyst that changed my life. Sometimes our greatest failures are our best lessons, they give us the motivation to push off to launch us into a new trajectory
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  1788. You are very appreciated.Little people know about the true essence of math.
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  1789. I LOVED Spivak. I don't know how he does it but it was perfectly rigorous while also being approachable.
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  1790. we need more complicated sequences Amigo..
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  1791. So far I'm getting all A's at school. A's are addictive 😄. I always believe in learning over grades. Still, I'm glad to be on both sides of the fence after doing poorly in secondary school long ago. I never stopped learning though, and I'm glad university has been better for me now 🙂 Thanks!
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  1792. This is hilarious. Thanks for posting this.
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  1793. I got a good laugh when he said "...so you don't spend your whole day studying". I spent my whole life studying. I still hate having people "judge" or "grade" my intelligence. I truly understand math anxiety. The timer is a good idea.
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  1794. Serge Lang is one of the best authors in mathematics.
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  1795.  @TheMathSorcerer  bruh he wrote all of that and you sent him a thumbs up 😂😂. I guess you are busy studying Math 🤷‍♂️
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  1796. You can download this book for free online in pdf format.
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  1797. My problem is that I've always LOVED everything! There was never a course that didn't make me feel like I was high on life! I still think of myself as a Philosophy & Psychology major at heart. That's never changed and I don't think it ever will. But I'm currently focusing on Mathematics just because it exists everywhere and it's in everything! I really appreciate every subject, but I just so happen to identify a bit more with some while still feeling that Math is just central to all of it!
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  1798. Jee is not about proof It is basically practice 11 12 grade with determination You have to practice practice and practice
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  1799. I worked problems from this book over the summer between high school and college. It is a good book. I still have it 44 years later. The Spanish function notation reminds me of Russian notation.
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  1800. U looked like Sir Isaac Newton in the woods until u said: Math is hard. 😂
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  1801. My high school was very tough academically. But my Calculus teacher was especially notorious for his ridiculously rigorous class. Having taught with Spivak Calculus book and Barron AP book, his class was taught in very different manner. He would have us self study each chapter on our own, assign us with crap tons of homework problems before the class, and have us ask questions, problems and concepts during the class. I was very good with precalculus class but for his class, I struggled everyday since day 1 like a man drowning into the sea with a rock chained to my ankle. My Calculus teacher told the class, "If you can survive my class, you can survive any college math class. The reason why I have you self study and me not giving you lecture is because I know how meaningless lectures can be if one cannot apply his learned concepts on problems." My class had 23 students (it was 51 but more than half of them dropped) and only 2 students got lower than 4 on AP Calculus BC. I got 5 and found the AP exam easy compared to what was taught in class.
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  1802. That's how math is to the most of us lol
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  1803. Mathematical logic has always been one of my favorite areas, and this seems like an awesome book. Keep up the good work, Mr. Math Sorcerer!
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  1804. When I think of elitism in mathematics, I think of the pedigree books where people trace their PhD mentor lineage back to Euler or Newton to validate their self-importance, or people who explicitly state "if x-proof isn't immediately self-evident to you, you have no future in math." Deliberately discouraging people from pursuing math is definitely a destructive form of elitism.
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  1805. I finished the DE course at the Moscow State University (exactly where the author worked at the time) 2 years ago and our professors still recommend this book as the main textbook for this course
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  1806. Years ago I started buying electronic books and a funny thing happened. I started buying physical books again. There is something important about the tangibility of physical books. The beauty is in sharing the books. Books should be tangible and they should be shared. Love your channel!
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  1807. God bless you.
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  1808. My college linear algebra course used "Elementary Linear Algebra", 8th ed., by Anton and Rorres. For homework, my professor would assign literally all of the even-numbered problems at the end of each section. (This was one of those textbooks where the answers to the odd-numbered ones were in the back.) It made for some late nights, but it really drilled in the concepts.
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  1809. This book is very readable for beginners. You don’t get lost because his examples are extremely detailed.
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  1810. Math changed my life for all those reasons but it continues to do so by destroying any previous assumptions or false sense of knowledge and subsequently requiring me to completely reform my perspective and understanding of the world. It is humbling and I think that it has made me not only a better thinker but also a better person.
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  1811. This is basically a list of things I'm terrified that people would do to me.
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  1812. This is a MUST have for any mathematician! I used this when I took undergrad real at UCLA. Berkeley uses this as well for undergrads. One of the toughest analysis books I’ve ever seen, the fact that chapter two gives you basic point set before going further. Great video! Don’t forget grandpapa rudin ! Functional analysis
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  1813. Revisiting math is like rereading an old book, you pick up on the little nuances that you glossed over that first time around. And while part of yourself thinks "I can't believe I missed that connection!", there's the other part of yourself that appreciates the bittersweet fact that despite you didn't get it the first time around, you can't help but think how bland your life would've been if you hadn't gone back.
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  1814. One of my New Year resolutions is to teach myself Math. When I was attending college you couldn't enjoy and appreciate the stuff you learned because you had to rush through all of the subject material. I always found math fascinating and looking forward to learn the subject at my own pace. Thank you so much for your educational and inspirational videos. Keep up the good work!!
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  1815. I was always interested in mathematics but was never motivated enough to further go into it. After discovering your channel, I started to become more motivated to do math and you gave me the extra push i needed. Thanks!
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  1816. I have many MIR books. I taught myself enough Russian to read original papers by the Russian probability Mafia - Kolmogorov, Markov, Lyapunov etc etc etc. If you think Fomin's book is hard core it is a walk in the park compared to the probability stuff ! Gelfand and Fomin are of course famous for their work on calculus of variations. My favourite Russian mathematician is V I Arnold who relentlessly took the piss out of French mathematicians influenced by the Bourbaki school of abstraction. If you study KAM theory the K is Kolmogorov, the A is Arnold and the M is Moser. Quite a few NASA, JPL people have been deeply trained in KAM theory.
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  1817. When I took my bridge class, I skipped the review of logic and truth tables because I “knew” it from discrete math. Bad move. I ended up not being able to connect logic to proof writing. Had to retake the bridge class. Watched lots of videos. Read lots of books. Failed real analysis. And, I still don’t have a firm understanding of how to pull together a proof. So, don’t skip and practice writing them. It really is a good review and build confidence. Get feedback from professor or other person who knows about proofs.
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  1818. what a good vibe in this clasroom. I wish professors will be more this and less angry.
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  1819. physics is nothing without mathematics
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  1820. I love the way you motivate students not by telling them that they're not good enough to do maths but it comes with practice and patient.
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  1821. I don't have a vision yet, but I noticed the moment I stopped treating math as homework, I slowly started to fall in love with it. Now I have a journal where I record the things I learn in a day and I try to find different ways to explain a concept to understand it deeper. Also finding applications of said concept that are relevant to my life motivates me more. Recording the whole process, at least for me, makes it more likely to stick to it long-term. I wake up the next day and get to see what I did the day before and feel the need to do just a little bit more, without having any career oriented goals in mind. I start to understand and appreciate the beauty of math and that's enough for me, at least for now. :)
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  1822. You really not only motivated students but also guide themselves. Thanks a lot sir.😌
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  1823. For a second I was wondering "where's Isenbaud's Commutative Algebra" before realizing "oh this is for pre-college
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  1824. Nice video. Here is another way to memorize those common trig values for sine and cosine. It is always the square root of a number divided by two, you start with sin(0) and 0 and then increase the number under the square root by one for each successive increase in angle: sin(0) = sqrt(0)/2 = 0 sin(pi/6) = sqrt(1)/2 = 1/2 sin(pi/4) = sqrt(2)/2 sin(pi/3) = sqrt(3)/2 sin(pi/2) = sqrt(4)/2 = 2/2 = 1 And for cosine it is the opposite order to sine where you start with the largest angle, cos(pi/2) and then decrease the angle: cos(pi/2) = sqrt(0)/2 = 0 cos(pi/3) = sqrt(1)/2 = 1/2 cos(pi/4) = sqrt(2)/2 cos(pi/6) = sqrt(3)/2 cos(0) = sqrt(4)/2 = 2/2 = 1
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  1825. For the teachers watching this, consider specification grading approach (Nilson). It reduces cheating because a fundamental of it is students get to make repeated tries for each assignment (with some limits, if you like). So, the pressure of only having one chance to make a grade is removed. It can be used in nearly any class, but is particularly applicable to math classes. Basically, students have relatively lower stakes assignments that they have to do at a high level of quality. They get to resubmit them. They have 'tokens' to use for late submissions and for resubmissions of big assignments. The idea is, much like getting a merit badge in the scouts, you have to accomplish a list of tasks at a high level of quality to earn a letter grade. Once a C is earned, the student can then move on to the 'B-level' assignments and 'A-level' assignments after that. The higher level assignments can be more advanced, deeper exploration, more integrative of concepts, inferential past the bare information, whatever fits the course. I typically make the A-level assignment either a deep dive in a concept or a 'capstone' assignment for the course. There are many ways, but for my classes students need to make an 80% for an assignment to pass (there are no other percentages, by the way, it's literally checklist based). Each assignment is typically one chapter with homework type quizzing and in-class quizzing. Accumulate the chapters that in my judgement makes a C, and the student makes a C. Then, they often have to do a specific writing assignment that's fairly tightly prescribed for the B, also at the equivalent of a B (some make it a B+ or A- level). For an A they have to do a more capstone or a deep dive into a topic. For my general psychology class they deep dive into mirror neurons and implications for autism and social learning theory. There's a pretty tight rubric for those assignments and they are tough to cheat on. Also, you find a fair number of students are completely happy with their C and the toughest things to grade, papers, are the least submitted assignments.
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  1826. As a highschooler this was very helpful and insightful. Currently I'm at the end of sophomore year but I've already completed my school's AP AB calc course at the top of the relatively small class (I would have gone for BC if they had it). Next year I'll be taking AP stats at the highschool and they won't have anything left for me come senior year. As a student math is the subject I would never want to stagnate in even for a month or two. I'm having to take part time college classes to avoid it by next year. This definitely helps out for deciding which direction and order I should move in math. My academic/intellectual life goal is to learn, understand, and fully or nearly fully comprehend all branches of mathematics I could have access to.
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  1827. Having the answers. Especially with the step by step solutions. Can be great. Sometimes it's just a tiny part of the problem that is tripping you up. I feel lucky that we can basically look up answers for any book these days. Banging your head against the wall is good. But if you do enough problems, you can achieve the same result with less pain.
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  1828. Yeah, I mentioned in a common on another video that I'm nearly 50 now. I used to think I was bad at math. Then aged 37 I got my first job in video game development and had to learn fast. And you know what, I think my ability to learn has gotten better with age, not worse. I can absorb concepts in both math and computing much faster than I did when I was young. To give an example, about 20 years ago I bought a book on Bezier and Nurbs curves and surfaces to help with a program I was trying to write. It was full of maths and I couldn't understand it at all. Recently I picked that book up again, flicked through it and it seemed pretty trivial. I hope my brain is still running at full speed when I'm 65, but even if it isn't, I'll still be a lot better off for the learning I did in my 40s.
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  1829. Can we get a video of you taking the exam haha, looks very difficult!
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  1830. I don't know if you're aware of the incredible impact you have on students by uploading videos to YouTube, but I'm sincerely grateful. My professor is a math prodigy, but he cannot teach. You've been the only source of help I've gotten for my real analysis class.
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  1831. "Hope this helps,😊" Me: 😭👌👍❤️😭😭😭
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  1832. The most effective advice anyone can get. Take action
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  1833. ❤❤❤ i love you sir i am 35 old guy from india telangana warangal district i am very weak in maths but now i will improve until my last breath ❤❤❤
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  1834. Obsession is a word that can have negative connotations. I prefer to say I'm nourished by mathematics. In Lockhart's words, a well-written, well-crafted argument feels like a splash of cool water, a beacon of light -- it refreshes the spirit and illuminates the mind. One might say you or I am obsessed, but what else could we do to satisfy this craving? Keep up the great work, and enjoy what only mathematics can provide!
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  1835. Don't know whether there are any other math comedies on YT but, regardless, I can see this as the worst one.
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  1836. That is true! I am from Chile and I studied in a well known private US University and it was so easy for me. Here in Chile professors compete themselve to make the hardest excercise, you won't find it in any text book. But, but, US university still win because you put a lot of money in research. We don't
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  1837. I think you misunderstand what people mean when they say someone is elitist. Elite and elitist are not the same. If you are elite in the math world, that is fine in my book. The issue lies with elitist people. Here is a definition: a person, P, is elitist if they belittle, mock, or make fun of those who are not as skilled as them, if they insist that the other person is not a math person because they haven't reached P's level of skillfulness, and/or if they try to exclude other people from discussions who they see as lesser to them because of a perceived inherent mathiness quality, rather than encouraging other people to improve their skills so they can make substantive contributions to a discussion. So an elitist isn't just someone who is good at something or renowned for a thing, but decides to be an asshole about it. Elitist as an adjective usually refers to the attitudes of such people. One can be skilled without being an ass. I hope that helps.
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  1838. i understand nothing about mathematic but ive been subbed to you with notification for so long and i gotta admit i love your passion and dedication about mathematics respect to you man
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  1839. 5:11 I think you may mean "infix" here as to what "humans" typically use. Prefix (* 5 2) - (LISP) Postfix (5 2 *) - (FORTH) Infix (5 * 2) - (what we were taught in elementary school 🙂)
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  1840. According to this review of the 12th Edition it was based off of Thomas' Calculus and Analytic Geometry. It makes sense. Calculus and Analytic Geometry appears to be an introductory textbook suitable for AP Calculus students. This obviously goes in much greater depth over a much greater range of topics. It seems to me For a beginner a useful course of self-study might be Pre-calculus> Calculus Made Easy> Calculus and Analytic Geometry>Thomas' Calculus: Early Transcendentals. Work thru all of that (along with reading Serge Lang's book) and you'd probably be ready for Spivak!
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  1841. Best answer: It depends on how hard your professor makes the class. If the assignments and exams are hard, then the class will be hard. My first group theory class was most certainly harder than my first analysis class.
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  1842. Thanks for the recommendation man! I don't know why but when you say "if you knew this book you would be an algebra good" just motivates me to study algebra and try to become an algebra god xdd.
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  1843. I am 62 years old and self studying Mathematics simply because I love Math and have a passion for it. Yes, I am retired and live off my social security and small pension along with my stock and bonds mutual funds. Have various hobbies of which math is one of them. I did take Algebra, Geometry, Trigonometry , and pre calculus in high school. Have allot of my old math books and self studying these subjects again. In addition I will study Calculus and Advanced Calculus along with Statistics and Probability. In addition some discrete Math along with Proofs in Mathematics. I do not do this for financial gain but for love of Math and passion for Math as well. If you have the passion for the subject and willing to put the time in via hard work, one is never to old to learn Math. Kudos to that guy that is 64 years old and wants to self study in Mathematics.
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  1844. The Four Cardinal Virtues: Temprence, Fortitude , Prudence & Justice.
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  1845. I don’t see the issue here, the $200 access code is a steal.
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  1846. Laughs in quantum field theory
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  1847. Perfect timing. I'm officially learning integrals now!
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  1848. Impeccable timing. At 39 years old I’m starting college again. I’m not scared just a little nervous. I’m going for Safety/Occupational Analyst. I think this community as well as my investing community really gave me the confidence to go for my goals.
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  1849. Henri Cartan made it to age 104. Some mathematicians live a long time: Dirk Struik made it to 106; Walter Rudin lived to "only" 89. They all had good lives and while I encountered only Struik, I tend to think they were all good people. Struik was hardly an elitist: his Yankee Science in the Making is perhaps the best book in that field.
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  1850. I think grades matter to an extent. I know personally just finishing undergrad and starting my masters in the fall I can tell you that of people that had really good grades didn’t necessarily know the material. They were just really good at memorizing (or at least in my field of study statistics). When it came to application classmates I had didn’t necessarily know how to “troubleshoot” working on ML projects let’s say. When I realized that I started caring more about learning instead of trying to get an A.
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  1851. My family is really small - after my pops, aunt & uncle pass, it’ll just be me and my sister who are sort of estranged. Instead of being too sad about that, I use that to motivate me to keep pursuing a degree in computer science, just to have a decent foundation. The versatility fascinates me.
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  1852. This is literally every humanities class
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  1853. I can back this up. During my freshman years at the university (Physics bsc), I was totally demotivated by seeing how creative my classmates were solving math problems. Now I know that they just knew much more opportunities regarding how to solve a problem (They did come from much better high schools...). It had nothing to do with talent (it is much more psychological if you ask me). With consistent practice and with good textbooks (or tutorials on youtube), one can work his/her way up to a quite good level (at least enough for physics/engineering).
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  1854. Students who go to the US for undergrad/grad school particularly those on scholarships are probably at the top 20% since studies under a scholarship are very competitive. For instance, from our country, those who go abroad to study are mostly from the top universities.
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  1855. Action brings motivation. There's no motivation without taking action first.
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  1856. No one asked me for this long comment, and I don't think my view is any more important than anyone else's. This video's topic is something I've thought about extensively so I figured I'd share my thoughts and maybe my contribution has use. If long comments are annoying to you, please just scroll past... Anyone can ultimately contribute mathematical research. Some people will be more prolific, and there may be areas which are inaccessible to those with but the most exceptional knowledge or ability. However it would appear to me that there are far more people with exceptional inborn ability than there are legendary results and field-changing ideas, and there are many who have contributed who did so more through creativity and the requisite knowledge, than through the sheer intensity of their ability. Some people are indeed born further ahead, sometimes much further ahead, in intellectual maturity. This can take many forms, be it social awareness, creativity, entrepreneurial spirit, mathematical intuition, etc. Some people 'switch on' earlier, and others a bit later. Switching on earlier is certainly beneficial (seems unequivocal that the earlier one can begin learning the better) but it just can't be helped if it didn't happen that way and no one should dwell on it. While it would be unrealistic to ignore natural ability in certain contexts, I think commitment is much more deserving of attention when considering an individual's potential. Through commitment we might approach the 'ceiling' that might be set for us, though I think it's important too, to consider that the 'ceiling' can itself be moved, to some degree. No amount of anything could turn me into Euler, but it doesn't mean that I have nothing to give to mathematics, nor does it mean that I derive less enjoyment from it. As a footnote, we know of course, that ability is some combination of which genes are inherited, genetic mutations, neonatal development, experiences and environment (particularly under the age of two), and what a child is taught and what learning environment they are provided, as well as other things. Not only is it both nature and nurture, but each is far more complicated than "genes" and "parents", to be simplistic.
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  1857. Do you listen to music when you study? I usually can’t be left alone with my thoughts and need some background music
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  1858. Salam..from Indonesia..
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  1859. the math sorcerer: these are good beginner books because they teach you proofs! me: what the heck is a proof
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  1860. Wish I found out I was good at math
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  1861. I needed this today. Maths is my passion and I sometimes worry that I’m not good enough. But in reality, I’m like you and I get maths relatively easy. Im pumped to work on vectors and differentials tonight 💪
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  1862. this guy makes the ugly symbols in textbooks look like a magical enchanted language
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  1863. When I was still in college, I took a class that was based on Michael Sipser's Introduction to the Theory of Computation, which covers the same topics as this book did. I highly recommend that book for people newer to the topic. That was most definitely my favorite class in college - had a great book and a great professor teaching such a great topic. The book itself takes you from understanding the difference between DFAs and NFAs all the way up to what the P vs NP problem actually means. It was just such an awesome culmination of knowledge. Getting to see how the different languages expanded based on what systems or automata were being used was like nothing I'd ever seen before. Just such a beautiful and interesting topic. As always, love the book videos!
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  1864. You kinda look like Bezos
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  1865. I just took calc 1 after almost a decade of no math. It’s true, there’s so much math in college that’s often taken for granted (my school doesn’t offer anything below calc 1). Precalc is also hard because it’s crammed information that helps you with complex problems later on but without the “why” aspect of it (which is only later answered in analysis way later). People underestimate how much math is thousands of years of condensed knowledge into a few semesters. Thx for these videos
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  1866. Does anyone have Larry's number? I'm interested to know what kind of pie his mom makes.
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  1867. My Maths teachers made me hate Maths, they would just hand us formulas and theories without telling us its significance or why it works.
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  1868. Cannot stress how helpful this was ! Been struggling to wrap my head around this, and now it makes so much sense!
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  1869. "Discipline is doing what you hate to do, but nonetheless doing it like you love it." #miketyson ps: you make a good point
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  1870. I am a member of this channel since I saw this video, which is a really good one. I hope your channel grows up. Keep going!
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  1871. As a highschool junior doing neuroscience research for regeneron, i also got into math recently (reading apostol calculus) mainly because of your videos! this is super helpful because i might want to go into computational neuro one day. Thank you again for all that you do! :)
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  1872. “We always want to study what we dont have to” Me who just got to high school : relates
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  1873. "No, no, irrationals don't exist, that's a myth!" -actual mathematicians to this day
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  1874. You, my friend are a WONDERFUL human being!! Your passion for helping people with life lesson in my opinion is arguably as powerful as your mathematics ministry. Be encouraged sir and continue being great with your humble demeanor and intellectual virtue. You get my Nobel Peace Prize!
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  1875. You are truly nice person, with every means you are encouraging your followers to check certain types of books the ones will be helpful for them understand math better, you even encourag me as well.
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  1876. When will we be allowed to know your name Mr Sorcerer? 🤤
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  1877. Math Sorcerer: Be so obsessed and study until you get physical pain from studying video recommendation: Marty Lobell - Study Less Study Smart lmao
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  1878. Discrete math is fascinating to learn about. Thanks for making a video on this topic.
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  1879. I'm currently pursuing a triple major BS degree in Math, Physics and CS. I guess my scream of frustration is audible.
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  1880. I studied physics in the '80s in Italy and we used lots of of American and Russian textbooks, including Elsgolts, Landau-Lifšits, Piskunov, Arnold, ... Especially in the first years I preferred the Russian ones because they were translated in Italian (MIR editions), and I knew a lot of German but only little English at that time... Very useful books indeed! Thanks for reminding me of those beautiful years!
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  1881. If there are no other math comedies on youtube, then this is not only the worst, but its also the best!
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  1882. We need more teachers like you.
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  1883. I have the Fourth edition and the Combined Answer book. Great book. Pretty sure this is one of the first books I bought on your recommendation.
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  1884. Issac Newton? Is that you?!?!?!?!
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  1885. Computer science is not programming. It is not software engineering. Computer science is mathematics theory specialized for computers. It is calculus, statistics, graph theory, algorithms and data structures, and more, and those things do not change (for the most part). Computer science is the theory behind computers, meaning that it builds upon itself the same way that math does. There are classes you can take that specialize in a certain area of today's technological market, but the underlying requirements for graduation always stay the same.
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  1886. My Mathematical Goal: "When I open my eyes... I want to be able to see the matrix."
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  1887. My opinion : Self study increases our intelligence because we read , and reading makes us trying to understand and process the ideas . Moreover , while reading we try to understand from our own perspective which may be different from others , which is important because we can't understand everything the way others understand.
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  1888. He has become wise spreading his advices making others life better he has become a self improvement guy and we love it ❤️ .
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  1889. Bro is ascending to heaven and this time by teaching philosophy 💀
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  1890. Great topic. Posted here before. I am 57 applying for a Masters in Applied Statistics. I am taking a machine learning class and graduate class in statistical consulting. Definitely an outlier in terms of age. Ageism exists. I deal with it as best I can. Most don't care. When I am in a group I make sure to work hard and contribute. It is fun, hard, frustrating but very rewarding. Memento Mori and "Rage, rage..."
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  1891. This man represents perfectly taking care of body and mind
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  1892. The smoothness of the doodling makes me think that he knows what he is writing
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  1893. “Go on a run, solve 10 problems after” This is REAL advice that no one else talks about! Thanks as always! 🏃🏻‍♂️ ✏️
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  1894. I have an average IQ of 100. So obviously I find taking content hard. I take more time to grasp concepts and solve problems. I have this problem solving technique that has helped me very much. Whenever I find a hard problem, I try to understand it first. Then I try to apply Polya's problem solving technique. If I don't succeed, I'd open my book and read the related concepts of the problem over and over again until I get a good hold of the problem. It is just like connecting dots. By doing this, I come close to the solution and the only ingredient to the solution's completion remains, which is just a "bright idea" that can hit me anytime if I just put the time and effort.
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  1895. I have a calc test on Friday, didn't do too well on the first. I've been working hard to prepare and even been watching your calc 1 lectures on YouTube. This video came just in time!
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  1896. this man secretly recorded jeff teaching math and thought we wouldnt notice
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  1897. Going for a walk or doing some kind of exercise in general always helps. Your brain keeps working on the problem even if you're not actively thinking about it, and when I return to my work 2-3 hours later I almost always see the path to the solution or the solution itself.
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  1898. Great advice! Learning from your mistakes and taking responsibility for your learning is the best approach. Students who blaim others (e.g., their teachers) for their failures will find it hard to achieve anything meaningful.
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  1899. Dan Saracino was a professor at my undergrad. I didn't take algebra with him, but we did use this book and it was great to just walk into his office when I had questions.
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  1900. "I loved your classes, prof: you made us taste math as it was an ice cream". Actual quote from a former student AFTER two years I had them :) One of the most heartwarming memory of my 40 years teaching... SNIFF!
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  1901. I took calc 2 as a four week course this past summer. I did well but I paid for it with my blood, sweat, and tears. It was by far my favorite math class.
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  1902. I like people who are good at math because they always have clear thinking, logic, and always have learning methods, they are easy to be trusted by others because they can solve all the problems. When they study, they are very focused and serious, they really work on something that makes me think of scientists, so professional.
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  1903. Would you be willing to do a video demonstrating your math note-taking strategies? I'm not sure if you already have a video on this subject, but if you don't, it would be very useful and interesting to see how you take notes from a math textbook.
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  1904. We appreciate your consistency all the way. More blessings to you.
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  1905. "I got it for about 5 dollars including shipping" Amazon: $80 without shipping.
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  1906. As an undergraduate TA I tutored everyone from College Algebra to ODEs and I really do think hardwork trumps everything and I saw this most starkly with the precalc and college algebra students who many up until that point in their life had a soured relationship and no confidence with the subject for one reason or another. Turns out though, I could take all the students from my recitations and clump their grades into equivalence classes based on their work input when the semester was over. Some may have very well not enjoyed math and wouldn't be looking at another math text again for the rest of their life but they earned their A's and B's at the end with the work they put in. Too many people were telling themselves "no" when really they were capable the whole time.
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  1907. He's wild 😂
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  1908. This one demonstrates the principle of the "conservation of mathematical difficulty." Fractions are avoided but the extra hoops needed to be jumped through make the method as difficult as starting with division by the leading coefficient.
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  1909. Technical analysis is astrology for men.
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  1910. I thought you can talk about how every math subject evolved in history, from prehistoric counting to computus calculus
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  1911. Combining hard studying with causal reading is a great strategy.
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  1912. bro i was stuck on these for 30 minutes trying to figure it out u just saved me
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  1913. This video actually conveys a good message.I dont really have any problem with sharing tedious math assignments I completed with hardwork, but I want the person taking it to read it, and learn something from it, rather than just blatantly copying it like a machine for good grades
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  1914. Learning-by-teaching makes a lot of sense. When we're just thinking to ourselves, we rely more on implicit memory, which makes it harder to notice and identify all the gaps in our understanding. But involving other people forces us to be explicit every step of the way, so any gaps in our understanding become more obvious. This gives us an opportunity to correct ourselves, which is a valuable learning experience.
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  1915. Abstract algebra is so cool 😎
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  1916. This youtube channel is my little get away from working and going to school all the time. Thanks math sorcerer never stop making videos :)
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  1917. I feel happy when I see your channel notifications 😂😂
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  1918. Sometimes we have to watch our whole lives fall apart, before we cant rebuild it again... a greater foundation. Maybe everything feels pointless when you dont get the results you want in physics, but what else can you do but just continue working hard right?
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  1919. Just watched 45 minutes of this lecture and I'm not even in Diff eq, your teaching style is so great.
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  1920. I love how Math Sorcerer comments on the smell of the books and their feel. He values books not only for their content but as objects in themselves. Their aesthetic value.
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  1921. Oh, sometimes I fall asleep even in a real class.
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  1922. Study Habits of the Top 1% The decisions you make today will affect the rest of your life. That's why it is so important in everything you do that you make the best possible choices and decisions ever. 1. Set Clear Goals. - Have a clearly defined path for your learning experience. - Set manageable goals - Ex. U want to learn all of calculus in a week, it's a great goal but not realistic. - Small baby steps. 2. Prioritize your Learning Experience - Prioritize your studies - Make it your priority and things will be a lot easier - Prioritization of learning requires sacrifice. - It is very easy to say I don't have time. Your life is not going to change unless you do something different. 3. Active Learning - Extremely important. - Active learning is sitting down and taking notes while reading a book, watching a video, or whatever the situation calls for. - Incorporate teaching others. You learn through teaching. - The reason teachers know so much is because they explain the same thing over and over again. - Ex. You become a master at teaching calculus because you do it repeatedly. You learn through that explanation. - You get a deeper understanding of the material through teaching. - You can apply the knowledge that you learn. Ex. You tryna learn another language, so you speak that language. 4. Regular Review - Sit down every other day or so and just go over material that you already know. - Reviewing what you already know. - This keeps you fresh and important if a prolonged period has passed. - Ex. Student in college taking a higher level math class. You forgot some of that basic calculus. go back and jump into old calculus and start doing some regular review. you will find that it will benefit you with the new material you learning. for math, the more math you know, the easier it becomes to learn new mathematics. 5. Seek Help - Don't be afraid to seek help. - Youtube, etc. There are all kinds of resources you can use for help. - People in the top 1% use all of their resources, which is precisely why they are in the top 1%. 6. Health Lifestyle Choices - Huge impact on your performance. - Sleep enough hours - Eating enough food and you're eating healthy choices. - Go outside for exercise. - Take care of your body and your mind will follow. 7. Persistence and Resilience - This is what separates you from other people. - They don't give up. They experience failure but they get back up and try it once again. - It is extremely important o have persistence and resilience. - Get better at dealing with failure and learn to accept it and move on from it so that you do not make the same mistake again. 8. Find your motivation for learning - It varies from individual to individual. - Whatever it is, you need to find your motivation so that you can fall back on it when you encounter hurdles. - The stronger your source of motivation, the more likely you will succeed. These are my notes, Hope they help someone.
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  1923. Ran into a couple of interesting situations on tests. Sometimes in Math you have A implies B, and B implies C, and C implies A. Certain authors may pick A for the definition and others may pick B or C as the definition. Well, on my master's comp there was a question to show that a function "f" was measurable. The info given was the definition of a measurable function in our real analysis book, Royden. There was a full page for the response. I didn't know what to do, so I wrote one line, "f is measurable by definition, see Royden". Got it right! Second time was on a midterm. I was stuck on a part of a proof, I couldn't prove. Time was running out, so I wrote, "one can clearly see that the series converges, therefore...." I was the only student in the class to get the question right!
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  1924. “I'm a great believer in luck, and I find the harder I work the more I have of it” ― Thomas Jefferson.
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  1925. Papa Rudin.... It was the bane of my existence when I started to learn Analysis... And now after having some more mathematical maturity, I really appreciate it more.
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  1926. Yep we want a physics one too
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  1927. Its people like you who I wish to go to a bar and drink then casually bring up a math problem and start scribbling some proof on a napkin
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  1928. I’m from Brazil and now I need this book. I love your channel.
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  1929. I have no idea why professors or teachers assume that speed is related to intelligence or something , do mathematics really need to able to solve problems fast irl?
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  1930. Made the mistake last semester of not paying attention at all. Didn’t watch the lecture and didn’t take notes. I cheated the homework though somehow I learned the stuff through the solutions. I somehow passed with an A.
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  1931. You'll actually make the geometric average of -63.188% (=(1+−0.9)^0.6*(1+1.6)^0.4−1) per time period assuming that you reinvest and the gain of 160 is equivalent to a proportional gain of 160%. Look up Ole Peters' ergodicity video 'time for a change', it's fascinating. By the way, trading just loses money due to transaction costs including brokerage and time wasting. Buy and hold is the winning strategy. I'm a finance lecturer and like your videos. But I've seen many smart math, science and engineering brains waste time and $ trading, due to not understanding the principle of weak form market efficiency - prices go up and down due to good and bad news which nobody can predict, therefore past price data is useless for predicting the future. Edit: fixed incorrect calc at top, oops
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  1932. Something that helped me a lot was asking tons and tons of questions from my professors. Speaking as someone who managed to get straight A's in all of Calc 1 through Calc 3, I don't think I would have done nearly as well if I wasn't constantly asking questions in class and emailing my professors with my confusions/my thoughts about a particular concept. I think one of the problems some people in calculus classes have is just being too damn shy. Your professors are really the best resources you have in college, and as long as it is obvious you have thought on and worked on a concept, they usually won't mind you asking a question about anything.
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  1933. Thank you Jeff Bezos for giving your time to teach us about domain and range
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  1934. we are all a little bit of stanley on the inside
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  1935. Imagine trying to solve differential equations while listening to Death Metal.
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  1936. I'd call it interesting/fascinating, not necessarily fun. If you like something doesn't necessarily mean you think it is fun, it may also be exciting/intriguing/fascinating. And this is what you get by understanding math/science piece by piece. Sometimes math/science are fun, but people like those mainly because they are interesting and fascinating
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  1937. It’s interesting to see organization videos like this. It’s just therapeutic to watch for the most part. Keep up the good work somehow.
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  1938. nothing cooler than finding random pieces of written papers in old books...
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  1939. This one really killed me!!!
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  1940. There has never been a sharp blade without grinding. That is life. That is how you learn and mature.
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  1941. Learned more in this video than i did in 2 weeks of a real calc class.
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  1942. 1:03 that almost gave me a heart attack lmao
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  1943. I didn't pay attention to the preface when I first tried to read the book. I was a beginner and I mistakenly thought it was a beginner's book. Lesson learned: always read the preface.
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  1944. low-key tho I love it when my professors talk about their dogs or other pets, like, yeah we're wasting class time, but the d o g s!!
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  1945. The first book you reviewed, the "Advanced Calculus" by Angus Taylor. Taylor was a famous long time professor at UCLA. The professor that I got my MA in math under at Cal State got his PhD under Taylor from UCLA. His thesis topic was "Operator Theory".
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  1946. The problem with universities these days is that they don’t give you enough time to think, ignoring the fact that mathematics is all about thinking. We had a trigonometry test yesterday and it consist of 30 questions that you have to solve in 35 minutes and i missed lots of them. Math is a good subject to self study so you can ponder about one question for one or two hours and no one is rushing you
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  1947. These book reviews are so helpful! There is so much to read out there that one cannot possibly aspire to read even 1-2 % of all what is published on a subject. At least one should aim at trying to read that 1-2 % that is really worth reading!
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  1948. My current online professor has a thick accent, and all of his lecture notes are poorly scanned and hard to read. I was SOOO confused this section and you really presented the materials in a way that worked so well for me to understand. Thank you! I will subscribe for the rest of your videos to help me through the end of the semester.
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  1949. This is one of the textbooks we used where I am studying in undergrad. Great Book
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  1950. AP classes in HS scale 1.0-5.0 (5.0 being an A) , thus boosting GPA.
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  1951. I also had a hard time with logarithms (and trigonometry). I would like to hear more about how you overcame the difficulties and learned more about them. Thanks for the video!
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  1952. Euler was such a workhorse. Even being blind he dictated to a scribe and published two- three pages of published material a day. He’s my personal favorite and touched so many different branches of Mathmatics
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  1953. When I was an undergrad, one of my classmates was a medical doctor. He was 45 or so. He majored in math as an undergrad but thinking about doing a graduate study in math. We took an Analysis class together. He never said he was a math prodigy. He found Analysis too difficult and quit. If your viewer, who posted the question, wants to do research, I would definitely recommend to attend regular university as oppose to taking online courses. Because then he can be a part of a research group of other graduate students. That sort of interaction is priceless.
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  1954. Thanks for this Video. I am usually scared to even Go near a Vector question and Usually just drop 10 Points on the test because of pure doubt that i can even do it or not. ( Also me being weak in Algebra fundamentals makes it scarier ) By the end of this week, Ill make sure Vectors fears me
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  1955. My Galois theory professor be like: the homework is a moral activity, 100% is the exams.
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  1956. Is it normal to stuck on a question for days and still unable to solve it...?
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  1957. Those who say grades don't matter usually have high enough grades to get into any school they want. To me they are incredibly important since many times my grades were not enough for me to get into the next stage or barely enough...
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  1958. Meanwhile, my school just ignores everything and requires the latest edition textbook costing $150 with no used copy in sight.
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  1959. This is quite a serious comment on such a funny comedy video, but the line "actually learn something from it instead of copying it" struck me deep, and made me think, its so relatable to our current education system People who study just for good grades, just for a number, are much like the quantitative values/constants in an equation. The constants are very limited in their scope of use, they just give you values on the current problem, but dont give you far fetching results, or anything new, just like the people trying to only get good grades. If a person actually tries to learn, they're like a variable, variables can be used to find solutions to eqautions, and discover even more new values, and maybe even make new equations and discover new things. Now, solving for/with variables is tougher than just blatantly operating on constants.Also, many times, solving with variables might seem pointless as it might not seem to reach at a clear goal, but keep working variables, there will be a solution eventually. In contrast to the constants, who are short-term thinkers, who just study for grades, variables have a harder way because they have to solve that equation of true understanding,but the outreach of a variable is much more far fetching than that of the constant. Also, variables can also represent constats, so it's not like variables dont get good grades, its just not their defining factor. That is why a variable was introduced to math, the variable has the harder way, but the variable brought math to new levels. Maybe we should learn something from the variable
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  1960. If you get really advanced in math, and you want to be social, find mathematicians to do projects with!
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  1961. Having good foundations in logic, set theory and proof writing. (Book of Proof or How to Prove it)
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  1962. My advice for this person is: Maybe you are a little behind your classmates or friends right now, but it ultimately doesn't matter. All that matters is that you learn a little more every day. I've also (constantly) dealt with this feeling in relation to how good at math my friends are versus how good I am at it. And after thinking long and hard about it, my conclusion is that it doesn't matter. I'm in this educational path to learn and to grow in relation to myself, and that's everything I should care about. There will always be people behind you and people ahead of you, but your job is to only care about your own progress. If you're learning, you're on the right track, period. Only look at those ahead of you as a way to remind yourself that if they got to where they are in terms of knowledge, you can get there too.
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  1963. This book (Concrete Mathematics) is a good precursor to tackling the "Art of Computer Programming Vol. 1-4B" series of books by Knuth. *Generally*, one would have a much smoother time going through it if they had some background in basic set theory (what sets are, what operations on sets means etc). - Have some comfort in what an induction proof is and how they generally look (yes the book does discuss them in general, but spends more time on application.) - Know what a Riemann sum is and what Riemann integration means. - Be comfortable with sequences and series. - Knowledge of complex numbers. And of course as usual, a willingness to work through problems and natural curiosity.
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  1964. "The computer is off" unless you read your books on your computer :)
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  1965. I miss your lectures! Every single one was full of passion and enthusiasm; best math professor I have ever had.
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  1966. Tip: watch the Math Sorcerer’s Calculus 1 review or any of his reviews! I bombed my mid term last semester (59). I watched over his videos and some others for my final and I got a 90! I almost pulled my grade to an A! Very helpful videos that actually helped me calm down and learn/refresh the material. You seem to be an awesome teacher/professor. I’ll be watching during Calculus 2 this semester. Thank you!
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  1967. Imagine seeing your most artistic math students' notes with well-drawn illustrations and bits of calligraphy on large letters, super-neat handwritings with no mistakes to erase. I envy the most orderly students with neat, tidy notetaking skills. Mine are little messy with blobs from leaking bad pens, pencil smudges,
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  1968. rest the mind do not overcomplicate it, in retrospect the answer is simple any confusion was a illusion do not let it disrupt your minds focus
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  1969. reasons to study math: 1. it's a great excuse for introverts
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  1970. I have never read the book of prof. Polya. But when my students asked me to give a talk on how to solve a problem, I tried to deduce a method from my experiences. It turns out that my method is the same as that given by prof. Polya. Each time I face a problem, I divide the problem into sub-problems (a sub-problem can be divided into sub-sub-problems, and so on) and solve them. Each sub-problems must be tested. Eventually, I connect all the sub-problems to solve the problem.
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  1971. David Hilbert was well-known for taking time to “get” something. And, suffice it to say, Hilbert spaces aren’t named for him for no reason.
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  1972. I used to watch this kind of videos and not understand what was on the board. Now that I actually know what's going on, I just have the biggest smile on my face while watching this :)
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  1973. Damn, you can see he's been working in the gym💪
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  1974. I got an A+ in calculus 1 (it was released today) and i had the worst teacher in the department. Students hate him to the extent that they kicked him out of our whatsapp math group 😂🔥🔥 the thing that got me A+ is that I studied it by myself in the summer, then when college started and I revisited it, things were much easier. This online term was the toughest .
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  1975. Great video! Now we need a sequel: Are You Doing Too Little Math? And How to Fix It!
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  1976. Thank you for posting this! Feynman's biography is what taught me to learn and study maths (in my case, college calculus) on my own and in a way I could understand and internalize it. And in my case... the ONLY reason I passed the class! 😅 Thank you, Richard!
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  1977. To make math fun? Play with it. Take it as a game. Know the rules of the game, like any game. It's a game of mathematical perspectives based on some axioms and definitions. Explore math by noticing patterns. Ask what if questions to yourself or team players. Pursue your curiosity. There is no crazy question in math. Be like a kid fooling around with his/her toy. Only bear in mind that we have a timeline by playing with math, like chess. Truly math is a very useful game. Thank you for the inspiring topic.
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  1978. Whenever I tell people that I'm a math major, they say, " Oh, you must be good at math." I tell them, "No, I'm not good. That's why I'm in this program; to get good." I, for one, am quite a humble learner and hope to stay that way 🙂
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  1979. You know professor, some people just dont wanna see you grow its bad when its your own family and its worst when you are supported for nothing not even for being yourself. But i dont wanna let those things get to me...i cannot fall down to their level of toxicity. I'm grateful for these educational videos, its my dream and my right to live my life as a human being and i won't give it up for anything. Thanks❤
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  1980. I am 25 and I enrolled in my second degree in Physics and Statistics. My first one was Civil Engineering. I wanted to become a Physicist, Statistician, or Mathematician sort of. Yes, my income is decreasing and it quite opposes the social norm that I should marry, etc. But hey, I better fail rather than never try it in the first place! So far I am happy and excited. Now I have reason to wake up in the morning: to study Physics and Statistics! Life is too short to never pursue your own dream.
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  1981. To do serious mathematical work you need to be able to recall a tremendous amount of information on the spot and insightfully apply them to problem solving, and that requires incredible patience and dedication., among other abilities Anyone who claims that mathematics does not require memorization-based reasoning is not being sincere with the public.
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  1982. My calc textbook was actually pretty good, that being said, I would have loved something like this that was perfect. My teachers in high school were average but calc and trig can absolutely be self-taught. I did near the top of the school for advanced just by ignoring the teacher working through the book each session, just running through every exercise. That was it. Learn the topic. Do 100 questions on each. Math understanding complete.
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  1983. I want to become a mathematician, and your videos are very inspiring
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  1984. When I will grow up i will also make collection of maths and physics books 😁
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  1985. I've had a similar experience my last semester with Calculus 1 in where I had received very poor Pre-Calculus instruction and so my trig and more advanced exponetial function proficiency were really underdeveloped. I tried to study for these during the summer, as well as some summation notation stuff and general review of my old coursework, but I must say that continuing right where you left off and getting a head start on the following math course's material would've been even more helpful.
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  1986. The math sorcerer: understands the whole limit definition within epsilon and delta Also the math sorcerer: * hmmm what is 9+6+4*
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  1987. I am self studying some math now, at 50 years. Your videos and book suggestions are what I use. Thank you!
    38
  1988. Electrical Engineering classes be like: Here is a multiplexer; it can be used to implement simple logic functions. Lab instructions: Build a quantum super computer using only multiplexers
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  1989. I believe in persistence always, no matter how many mistakes or failures in life.
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  1990. Not the type of video one wants to see after being stuck on a proof for ages
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  1991. It's also important that you have a good instructor that doesn't try to "trick" the students. Two examples: On a linear algebra test there was a 5×5 determinant to find. In class the largest determanant the teacher solved was a 3×3. I wasted 20 minutes on this problem and couldn't solve it. Later I met up with.a couple of exchange students from Norway that were in my class. I asked them about the problem. They said, "Oh, you didn't notice that the first column and the third column were linear multiples of each other and so the determinant was zero?" No, and neither did anyone else except these two guys. The second was in a Calculus I class. First exam. In the class the limits always existed! On the exam, 3 out of 5 "Find the limit" questions, the limit didn't exist. The job of the teacher is to teach, not to trick the students and make them feel stupid, and make themselves look smart. I did get the upper hand on one of those jerks once. A professor made the idiotic statement in class that if he couldn't prove a theorem in 20 minutes, it couldn't be proved! I raised my hand and asked him to prove the "Jordan Curve Theorem". He turned so red I thought he was going to explode!😁
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  1992. The way he describes this makes me realize that programming and maths are not so different. The way the connections grow exponentially with the size of the problem. And the way this forces you to decide how to use your time.
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  1993. also, nerdy?? that's a plus
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  1994. I felt a lot of times myself a dumb in mathematics after reading books for the first time. I felt low and close the book. Next day i read the same thing again but this time it is different. I learnt something from it. Then i realise that Math is subject that can't be learned in a single day. Anyways, you are awesome. Hope to see more vedios. Love from India
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  1995. Idk why, but that was hilarious.
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  1996. This man is like the Chef John of mathematics. I love it.
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  1997. There is a difference between solving traditional math problems and solving word problems. Try to recognize what kind of math problem you are attempting. When you get a word problem you aren't sure how to solve, draw a clear picture. Draw all the provided information into the image. Use the geometry of the image to relate the given values to the solution. Take your time in your drawing and label. Draw large and clear. It will give you time to think before you attempt to solve the problem. You will gain this skill with experience in mathematics.
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  1998. "On paper" I do an hour of math a day. I have a Google Calendar reminder and everything, that pops up every single day and says "Do an hour of math study." Now in reality, I don't always do exactly an hour every day. To keep it from becoming too much of a chore and something I start to rebel against, I make it as easy as possible for myself to meet my goal and check the little box that says "done". So I count basically anything as "studying math" - watching Math Sorcerer videos, working problems from a book, writing math related code in Python or Java, whatever. I also allow myself to round pretty aggressively and to "borrow" time from previous days where maybe I went over the hour mark. So really it works out more like "study math for 7 hours a week" than exactly "1 hour a day" but this way just makes it easy for me to keep the streak alive and keep my momentum. So far this year I think I have a perfect streak to date, and am definitely making progress. I've been mostly focusing on Professor Leonard's Calculus II video series, and likewise his Statistics I video series. Then I mix in some Math Sorcerer stuff, Michael Penn stuff, BlackPenRedPen videos, and other miscellaneous whatever.
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  1999. Reading different math text books is a game-changer when it comes to studying math. I started when one of the professors at my university posted links to different open access texts for each area of math and after watching your videos. Having different explanations really changes everything and makes you understand things so much better. Thank you, Math Sorcerer!
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  2000. One book that I got recently is “Concrete Mathematics” by Knuth, Graham, and Patashnik. Knuth is a great writer and I also recommend getting his “The Art of Computer Programming” series of books for learning data structures and algorithms. These books are very well written and have very creative problems which can be quite difficult. It’s not the best book for beginners, but I think it’s good to have a broad selection of books with different styles. Rosen is good if you want a comprehensive treatment with a lot of problems, but it’s not as “to the point” as Knuth and is less enjoyable to read IMO. I also recommend getting proof writing books like the ones by Vellman and Cummings. They cover many of the same topics and are a great supplement to any discrete math text.
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  2001. Whenever I feel calculus so hard I always watch this channel. It makes me feel better. I'll be an engineer soon sir. Thank you for the inspiring videos.
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  2002. Imagine making a documentary about going into the woods and you find a guy making calculus videos
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  2003. By the way, one thing I learned from my mathematical journey is that SOLVING PROBLEMS is one of the most important ways to learn. I could only learn Analysis and Abstract Algebra by solving many, many exercises. It was not enough to read the book, change books, increase the number of hours studied, etc. I'm saying this because when I was studying Analysis, your solved exercises (here on your channel) helped me a lot. I do not agree with that old idea of ​​having only the answers of odd exercises, typical in mathematics books. Keep up the good work. Greetings from Brazil.
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  2004. I worked 60 to 80 hour weeks from the age of 18 to 30, then changed careers which currently has me working 15 days on 6 days off, at 14 to 16 hours a day, and alternating between day and night shift per “rotation” I am now 40. I’m here because my father recently passed away, and he was an avid mathematician, he never owned a tv or computer and only had a flip phone and an AM/FM clock radio. In his latter years he tutored college students at no cost. He dedicated his life to the study of mathematics. I didn’t have the knack for it as he did though... I barely remember algebra. Long story short, he left behind proofs (he said they were a big deal but refused to have published) and I am now in possession of his papers. I feel that I owe it to him to learn the language he loved so much, so that I may understand what he wrote. Wish me luck!
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  2005. A math book by an engineer? I don’t know about that... lol jk😂
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  2006. We got books on math and science from the USSR at heavily discounted prices in India in the days of the Soviet Union. I had my school texts but almost always studied from these books from Mir publishers and Raduga publishers because they were so good for mastery of a subject. Mir means friendship in Russian.
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  2007. I have several old "math" books. The oldest are actually celestial navigation books, but contain a full explanation of trigonometry. The oldest is "Practical Navigator" by John Hamilton Moore 1798. Some big differences : Rather then formulas, directions are given. Trig is done differently then it's done today. Rather then ratios of sides of a right triangle, everything is compared to chords on a "unit circle". Trig was done this way up to about 1900. Everything was done to avoid excessive hand calculations. A problem that today we would use the "law of cosines" was avoided by clever work-arounds. Some of the terminology was different too. "Lines" could be lines or curves. What today we would call a line, was a "right line". It also took me awhile to figure out the directions, "Construct a cord of length 60°". Other references include "The Complete Navigator" by Andrew Mackay 1807 and "Complete Epitome of Practical Navigation" by J.W. Noire 1844.
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  2008. Bro, you explained everything in a crystal clear manner. It's people like you that make the lives of students easy. Keep up the good work. And lot of thanks!
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  2009. I was actually searching for a god discrete book right now lol
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  2010. It surprises me how many people use Rudins books for beginning graduate level classes given how abstract they are. Almost every book on analysis that I've read (beyond the basic measure theory and functional analysis) has been much more down-to-earth, and quite frankly more user friendly than the Rudin books. Also, in almost every hard problem in analysis one always starts off with the basic, familiar spaces. For Banach spaces it's L^1(R) and L^○○(R), and for hilbert spaces it's L^2(R) and l^2(R). An intimate familiarity with these spaces is, in my opinion, more valuable than spending weeks discussing F-spaces, Frechet-spaces, and locally convex spaces.
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  2011. Thomas Garrity said that people struggle with proof writing. That doesn’t mean that it’s impossible. We need to keep trying. I totally love the advice on looking back and reflecting on why it is correct.
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  2012. I had to pause the lecture and come down to write this comment.. at 51:00, compared to my experience.. if someone asked about such a thing in my class, he/she would've been humiliated and told to go back and retake calc1, cuz he/she should've failed it or something mean along these lines, by the professor:).. I really appreciate the way you respond to student's questions, and how friendly and inviting your class environment is! You gave me hope in mathematicians, and brought back my the math love that I lost since my freshman year in Computer engineering!! Thank you!!
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  2013. Gonna have to trust modern Isaac Newton on his tips cause I desperately need to avoid procrastination
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  2014. Working out + proper sleep schedule + actually doing and understanding your homework (and reading ahead) = unstoppable student.  Once I started exercising every day, getting quality sleep (i.e. no drinking or THC before bed), and really doing my homework, the high marks just fell into my lap. Got on the Dean's List last year, my mark in all my courses was at least 10% higher than the class average. And looking back and wondering what got me there I was just like, "Hmm, that really wasn't nearly as hard as I thought it would be." In my opinion, most students fail to reach their full potential because they're missing one of the key components in the equation above. The missing component is commonly sleep. You can do all the homework you want and stay up all night studying, but if you don't get the proper sleep needed to store the information that you're taking in then all the work you're doing is actually pointless.
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  2015. Congrats man. I've been with you most of the way, and you deserve it. Long live the Sorcerer
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  2016. That's quite a range going from basic school algebra to topology :)
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  2017. If you want to succeed the most in a class, do not study with the highest achieving student. Form a group with the ones that are struggling because if you can teach them you are all set.
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  2018. I really don't like the association of university (college) and career. Universities are places of learning, pure and simple. What you go on to do with that learning afterwards, will depend on a lot of different factors. The one sure thing is that you will be a better developed person as a result of everything you have been through, and learnt, at university, and that maturity will help you in your life always, and in whatever you subsequently decide to do. One fact that the Maths Sorcerer didn't mention is that you might become self-employed and start your own business, which I can tell you from experience is a lot more interesting than working for someone else. Do what you love doing, even if it's an Arts subject! Ignore naysayers. They don't know what's right for you.
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  2019. this guy so passionate
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  2020. This video does put a smile on my face.
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  2021. As someone who just started their first year of uni this was quite motivating thanks!
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  2022. To become a great mathematician and to find someone to spend my life with!
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  2023. Great vid as always. When I was in elementary school, I couldn't understand fractions, percents...I just didn't like math how it was taught to me....and once I got to HS everything sort of clicked and made sense. Became a math tutor, and ended up getting my Masters in Pure Math. Tried a PhD program for one semester but it proved to be too overwhelming for me. Still doing math every day as a self-study. Love it.
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  2024. Discipline is definitely my biggest challenge
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  2025. You Sir, are a living legend! This video is just what I needed to hear. Thanks for being you. God bless America.
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  2026. Hey I can relate to this. Joined uni at 27, always wanted to be computer scientist but found math difficult in high-school. Dropped out of high-school and took like 5 more years to learn things at my own pace. At some point later in life math concepts simply clicked. At first it was like listening to a foreign language but now it seems like hearing English. You begin asking yourself at that moment, "Did peers at my age actually understood this at the level I am understanding it now?". I sometimes wonder how many people dropped out of high-school who later might have developed into talented mathematicians or engineers.
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  2027. LOL wtf I legit come out of hospital after attempting from the stress of my maths exam and this comes on my reccomended when I've legit given up lmaoooooo is this a calling?
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  2028. Second edition of this book is made freely available as a pdf file by the author. I don't think there is a hard copy version of the second edition. The author has also made his second edition of Advanced Algebra and Real Analysis books freely available as well.
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  2029. The story of my advanced maths class: I failed the first inter test (35%), passed second one (75%) then in the final I got 2nd place (69%, the 1st got 80% and the 3rd got 52% and everyone else in the class of about 20 people failed). Then they offered a resit to everyone a few months later, where the best of both would be counted, and the ones that passed didn't have to do it. I took the resit anyway and beat the 1st guy (who didn't bother), in the end I got 84%.
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  2030. They dont make Math Sorcerors like you anymore as well
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  2031. I like that your channel feels less like a creator's channel and more like a platform for you to mentor and talk about math with people. I'm a long ways away from graduate school, but I'll go some day! thanks for the advice
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  2032. Don’t be scared to fail! Just go do stuff and see where it gets ya
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  2033. I absolutely adore this book. I dropped out of high school a math hater, found this book 10 years later, devoured it, and went on to eventually get into uni for mathematical physics. There was something about this book that really flipped a switch in me.
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  2034. You should do more of these types of videos; where you're actually doing Maths with pen and paper.
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  2035. I wish I was in this class of yours personally. It's so much fun. Btw, thank you for this. It's really helpful to me.
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  2036. Friends and family always ask: Why do I spend my days off doing math at 55? My answer is threefold: 1. I love math. 2. What else can I do on my days off in a COVID-19 world? 3. Learning is so cool. You say?
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  2037. Erwin Schrödinger was a child when this book was launched. This is really cool.
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  2038. Kind of have to use my computer because that’s where my math books are at lol. It’s nice that there are pdf textbooks everywhere on google
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  2039. In the 90's, I worked as a Physics and Math Tutor at "The Learning Center" in Eugene, Oregon, which specializes in tutoring, etc. for young adults with various learning disabilities. My clients were exclusively men with dyslexia. Often I would "work myself out of a job" because the Student would "get it".
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  2040. A math student needing to have a recommendation from a famous MIT faculty member compairing him/her to David Hilbert? Give me a break! That's insane.
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  2041. I agree with you. Personally, I buy a few books on the subject and read the books along with watching free you tube videos on that same subject. I take notes and work out the problems from the videos along with the problems from the books. In addition I study my notes and problems with answers. But that is me. All of us are different and have to determine what works best for each of us. Thanks for sharing.
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  2042. I love Mathematics
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  2043. It took me a long time to realize that the archetypal "wizard" or "mage" in so many fantasy settings, living in their tower of tomes and candles spending years and years of study to master the arcane secrets of the universe, had such an analogous connection to real world mathematicians, physicists, chemists, etc. This is why I love your channel name so much. You are an actual Merlin, happily residing in his metaphorical spire of knowledge surrounded by books and benevolently sharing your knowledge with all the aspiring sorcerers of the world.
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  2044. Pretty funny listening to your class talking about Coronavirus, while we are all on lockdown now taking online classes.
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  2045. I don't consider learning and doing math as work, it's passion.
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  2046. The good thing with calc based physics is that you can derive the formulas and know where they are coming from
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  2047. I'm 24, and I feel the same way as you. Time goes by so fast man..I wish I could pause the time and get the chance to study the things that I've been eager to learn lately.
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  2048. "Hey everyone Isaac Newton here, yep -- still alive."
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  2049. My advice for this person would be: Even if you can’t be better than your friends on the subjects of calculus and physics because they took those classes before you, that doesn’t mean you can’t still be a great professional in your field. Focus on being different from your friends and other students and professionals in your field and create your own unique path to knowledge and success. Don’t be just another good calculus student. Explore unique ideas and skills and try to think of original projects that nobody in your major or field of study has done before and I’m sure you will become eventually a better professional than many of your friends
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  2050. Math was my weakest subject, so on a bet with myself, I majored in it. Pure hell while completing the work, but In hindsight, best decision I ever made, affecting and influencing me in unimaginable ways. Still paying unexpected dividends.
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  2051. The Dover books always have a proper mathematical front cover.
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  2052. I love how you never actually do anything but talk, make mistakes and be unavailable for students 😂. Which is very accurate.
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  2053. Great video! The one dislike must have been from a cat person lol
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  2054. This year has been tough on me and I failed my 2nd test for linear algebra. I felt like an idiot and was so mad at myself. But i knew I can do better so I made sure to study harder and do the exercises on the textbooks as much as i could ( i almost did all of the excercises of each chapter we covered) and find more resources online. The next test (which was our final) I passed with flying colors, my hard work had paid off! But I still made a small arithmetic mistake lol, so not a 100 but very close. Great vid btw!
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  2055. I am also 37, totally screwed up at school at 12 and didn't open a textbook ever since. Did many odd jobs in my teens and twenties. Became a business owner at 27, but decided that I wanted to know theoretical physics, computer and data science. But I have two kids and a wife to take care for. So I am setting aside enough money to be able to study for a few years. Now I am done creating a roadmap to learn all that is needed to learn what I want. It truly is never too late to study. Good luck to everyone!
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  2056. Finally, I am the first comment; probably no one cares XD
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  2057. “Perfection is the enemy of progress.”
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  2058. As a university math major this is super useful. Nice to see that you finally have merch! Take care Professor!
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  2059. Once I reach Nirvana, it's over for my classmates.
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  2060. Beautiful library I wish I had a library like that
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  2061. This was a fun one! The last person was maybe trying a little too hard to ingratiate themselves lol. Thanks for another great one Sorc
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  2062. "We conjure the spirits of the computer with our spells" I didn't know the book but I certainly knew that legendary quote!
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  2063. I'm older, took a 2 year sabbatical and went back to university in software engineering. I thought once that one young man was not working as hard as me for their grades. I did not really mind though, because I'm older now and not envious anymore. But I still wanted to know how he was pulling this off. So I just asked him politely... Turns out, he already had a mix major in maths and computer sciences. So, he "seemed" to be working less "now"... but he did pay it's due before. Which is the same thing for every gifted person out there... There is no secret, no shortcut... just efforts from other we have not withnessed ourselves.
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  2064. This came to me in my notifications when i am wasting time lol
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  2065. Copyrighted international editions of latest release mathematics books are sold at university bookstores in developing countries at a fraction of the price in America. It s a classic case of publishers’ price discrimination.
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  2066. I got my B.S. in physics. Watching this video was nostalgic and brought back fond memories... at first. Then it brought on panic and anxiety as we got deeper and deeper into the math.
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  2067. This guy is the supreme example of the power of simplicity,his realistic positivity helps me to pursue my intellectual goals without having concern for any kind of status and just learn for the sake of learning. I believe the advice in this video can be the cure for my intellectual insecurity.
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  2068. "I would describe this person as a young David Hilbert" "Best I can do is $50k per year"
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  2069. I have been reading them and now im interested in his book on measure theory,
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  2070. I took linear algebra the same time I took calc 3. That was the best decision I ever made since the two courses complement each other. Thanks for another great upload.
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  2071. That book sort of reminds me of a very old calculus book that I own called, "A First Course In Infinitesimal Calculus" by Daniel A. Murray. My copy is from 1905.
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  2072. I found Carol Alexander's 4 volumes on mathematical finance and risk much more elementary to read and understand....maybe that's just me !!!
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  2073. Very true. In college I’ve gone from C’s and D’s in math to A’s and B’s because I changed my mindset about math from watching 3Blue1Brown videos. I’ve gone from a biochem major to applied physics.
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  2074. Never stop posting, please! You’ve helped me a ton!
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  2075. I recently started working through Susanna Epp's Discrete Math book by myself, and I'm still on chapter 2. Would you recommend switching to this book?
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  2076. "Don't give up" me staring at the Calculus 1 Withdrawal button
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  2077. I feel like something not a lot of people talk about is the feeling of giving up (in learning things!). It is easy for people to get demotivated when they don't understand a concept at first, and this might inductively push them into a cycle of being less and less interested, thinking theyre 'too stupid' to understand the content. Regardless of how easy or difficult you perceive something to be, one should respect that it can take time and several read-throughs, as well as extensive 'practice' to actually understand something. Keeping that motivation to not let initial failure kick your ass I feel is very big. With enough practice and research, someone who may initially be completely new to a topic will become better :)
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  2078. "And that's a good place to stop." - Michael Penn
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  2079. Still struggling in undergrad. Can't even fathom how people do multiple graduate degrees at the same time.
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  2080. Man, your positivity!!!, Thank You.
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  2081. I have never ever in my life met anyone who learned math fast, and I have a mechanical engineering degree. People don't learn at a faster pace, they just knew the material before you or had a broader understanding then you.
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  2082. Wow, I literally just bought my first abstract algebra book today!
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  2083. As much as I have respect for graduate students, I would take the job because employers tend to get more impressed with work experience than they do University education. And it's just a lot easier in life to have a steady income coming in. I'd say continue to work a bit on academics online in a part time pay until a decision later about graduate school.
    36
  2084. I don’t think I’ve ever laughed out loud (genuinely) as loud as I did at the sudden race at the end in like a good few years 🤣😂
    36
  2085. I like the ending when the professor acts like it went super well lol
    36
  2086. They don't even talk about these books where I study higher mathematics 😅 Thank You for reviewing these books.
    36
  2087. 2Nd comment ....pls pin my comment math sorceror sir Love from India
    36
  2088. Math Karen would call the cops if someone accidentally called them ma'am instead of doctor 🤣
    36
  2089. I've come across this book before - I always wonder how many many people bought it by mistake thinking it was high-school level algebra.
    36
  2090. "I got an A but I didn't understand anything", this guy wasn't kidding when he said "Math Sorcerer "
    36
  2091. Another book with similar content is Calculus and Analytic Geometry by Simmons. Like all books by Simmons, it is exceptionally well written.
    36
  2092. "I'll play league" this moment actually made me stop what I was doing. I was listening to this in the background, but this actually applies to me in the most inverted way you could possibly imagine. I play league in the higher elo scene, and day in and day out, I focus on this game with every ounce of what I'm doing. There are thousands, if not hundreds of thousands of learned concepts and muscle memory acquisitions that I've learned in order to play where I am at, and yet we as players still hit walls. As I had been listening to your little lecture here, I was applying it internally to how I handle league, and over the past few months or so, I had realized that maybe stepping away for a night or so would allow the things that I had learned to compile, but I hadn't quite processed the concept as deeply as you touched upon. I thought it was very funny however, that when you went down your list of recovery tools, you listed league, since video games like league for me are actually not restful to me at all, they are my active work :)
    36
  2093. This would have been useful last year when I was drowning in linear algebra... I survived tho...
    36
  2094. You're close to the only "math help" channel I've found for introductory real analysis. Thank you so much for existing.
    36
  2095. I really wish they would make college versions of these books.
    36
  2096. I really like the way you go about explaining the reasoning for each move you make, almost making it fun, like you're walking me through something you find cool, knowing that this is the first time I've seen this.
    36
  2097. Interestingly enough, I never had to take a Trig course, neither in high school nor university. All of my experience with Trig came from what was taught in the Pre-Calc and high school geometry. That being said, I think the trig from precalc helped me understand justttt enough trig to make it through and do ok Physics I and Calc II (trig comes up a lot it seems). Curious if anyone else has a similar experience.
    36
  2098. Its always good to work ahead self-studying Topology when your in Calculus LMAO!
    36
  2099. The best self study math book I think,not one of. It starts from the very beginning
    36
  2100. I love this man, like how he has devoted himself to mathematics!
    36
  2101. Wow, that's a mammoth! Spivak, Buck, Kaplan, Apostol, Rudin all integrated into one book. The authors were enthusiast but not merciful😉
    36
  2102. dude, that integration technique is groundbreaking and i can not believe i have went through calc 1, 2, and 3 with out learning that!
    36
  2103. Complex Analysis 😭
    36
  2104. One time my Calc 3 professor spent 45 minutes on a homework question (while we were reviewing triple integrals), but he made a mistake in the beginning that was never caught. Man didn’t say anything when he finally caught it. He just dismissed class.
    36
  2105. I'm doing a physics degree, and when it comes to learning the mathematical prerequisites for the physics (e.g. linear algebra, complex analysis and differential equations for quantum mechanics), we're often taught the material in a very minimalistic, surface-level manner. I've found that working through the material from proof-based textbooks geared towards mathematicians actually helps me appreciate the physics at a much deeper level. It's harder, but definitely worth the effort.
    36
  2106. Linear algebra was somewhat of a pain for me, but discrete math and logical proofs are always fun for me to work with. 😁
    36
  2107. We used the newer version in my community college class, but it’s always shocking to see the older editions of these modern textbooks that always seem to have a new edition every so often but don’t even really change from year to year.
    36
  2108. If you decide to continue doing videos on significant mathematicians in history, 19th century classical analysis is full of amazing people. Cantor, Dedekind, Borel, Hilbert, Riemann, Cauchy, Weierstrass, Poincare, Fourier, Lebesgue... Pretty remarkable period of time.
    36
  2109. I was procrastinating to shower. Now I'm done showering.
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  2110. You look like Issac Newton
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  2111. The star problems are a killer. I remembered that my analysis prof skipped the non starred ones and just go straight to the star problems. And we were just freshmen back then. But then, we were a class that have a relatively higher mathematical maturity than the rest of the cohort back then. It was also my first time in which I conciously used proof by contraposition to solve a starred problem, though I do not have an intuition for bounds until I started learning measure theory and functional analysis years later. Good book. Up there with Rudin's. I am but a physicist now. But still, good times.
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  2112. I worked hard all day today and was super excited to come home and do some math after work for personal enrichment. I've been studying that free PDF proof book that you did a video review about. Learning math has brought me immense joy, and I'm so thankful I now have the opportunity as a person in my 40's to study mathematics at my own leisure. God willing, I will have many years ahead to continue exploring the world of math, with a bit of physics and chemistry thrown in too. 🙂
    36
  2113. "It's Hard For Most People" is in the title, in the thumbnail and it is the very first thing he says. This is truly TRULY the "It's Hard For Most People"-est moment of all time!
    36
  2114. The fact that math is so humbling, is what makes me love it so much.
    36
  2115. This was powerful: “when I decided to go to grad school I accepted that I was going to have to teach myself” !!!
    36
  2116. Talk about math required for Computer Science
    36
  2117. There is great charm to these little math books. You’ll never catch me with Stewart’s Calculus at the cafe, but I certainly love to cart around whatever small Dover book I’m in the mood for!
    36
  2118. If you give someone your notes, you aren't getting them back.
    36
  2119. Super underrated channel, whenever I feel difficulty in my studies this guy has such wise words, makes my worries go away
    36
  2120. At 64 years of age and after work I have set aside one hour each day for maths and I am still learning so much
    36
  2121. Congratulations! The award is well deserved.
    36
  2122. There was a time in college where all of my classes included some kind of math(calculus, numeric analysis etc). Oh god, it felt like my brain was on fire or i was on speed. But i also felt like i was the smartest version of myself. It felt like i could ve challenged Gauss himself. Nowdays i ve been away from math. I dont even remember simple calculus concepts. It makes me sad.
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  2123. I went to college when I was 37 and graduated at 40. I didn't do very well at high school and was thought not intelligent enough to go to university by my peers at the time. But things change, and so does perspective, priorities and career paths. Heck, I even made the Dean's List! So if you want to go to college, and the act of going to college won't present insurmountable issues with other things in your life, then do it.
    35
  2124. I lost my father in March of this year, and I have been incredibly depressed since then. No amount of reflecting on my position as a researcher or a student or the finiteness of my own life - despite it being painfully in my face - helped me break out of the funk I have been in since then. What has helped me improve a bit was recently getting the chance to teach again during this fall semester. Being able to see that my actions can impact others, to help motivate them against failure, to build their confidence in themselves as not just students but young adults and people, has been the only thing that has managed to really pull me up since March. Sometimes your pride isn't enough to pick you back up. Sometimes a fear of finality can't scare you into motivation. Sometimes trying to find the value in your life doesn't work, because you're not sure you want to live your own life anymore. When you discover yourself in such a position, seek opportunities to give to others. I am living through a period like this, as I have before, and it has never failed to reinvigorate me. Seeing the impact you can create in another person excites a core component of the human condition we often overlook - the need to be accepted and to belong, to pass on of ourselves and provide to a community. If you find it's not enough to care about yourself, find someone else to care about. Find your pride in their success. Motivate yourself by the change you can make in their life. You don't always have to succeed for yourself, and it's honestly just fine to succeed for someone else until you can learn to want success for you again.
    35
  2125. You are honestly a psychologist. You are THE mathematician of the century that we all need!
    35
  2126. It's true that you can always find individual examples to confirm whatever answer you want to get, but it's still important to at least factor in the statistics along with your own goals, concerns, strengths and weaknesses. If most people on average come out with mountains of debt, even after scholarships, grants and financial aid, then we need to address that. If the best way most graduates find to pay off that debt is to work for a big industry with highly questionable ethics, then that's something else to consider. (High levels of debt often lead to low levels of dissent!)
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  2127. I used it. I liked it. Better than most current calc books.
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  2128. How unexpected at first - the Math Sorcerer is a body builder! - but if you think about it - this is in the tradition of the Greek philosophers: "What a disgrace it is for a man to grow old without ever seeing the beauty and strength of which his body is capable" -- Socrates
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  2129. Usually, when I read about mathematicians online, I learn that they had good grades since forever and then I feel demotivated since I am not like this. I wish mathematicians would talk more about their failures and even enter them on their cv. I may look up to a lot of people but I feel like I am so different from them that I do not really see myself being like them. I really wish we could hear more about mathematicians that most people can identify with, and for me, race, nationality and gender are not sufficient (or necessary) for me to identify with someone. I do math since it's my true love, but I usually get a little depressed when I begin to read about other mathematicians just to learn that they have always been successful.
    35
  2130. Sir,please Explain the ahistory and development of Calculus
    35
  2131. That’s the same calculus book we used for my engineering calculus course during undergrad! I actually thought it was a solid book
    35
  2132. the problem with math books is that there are few worked examples and too many excersies , or is it just me cause i am unorthodox
    35
  2133. We have all been waiting to see this part of the bookshelf.
    35
  2134. Please make a video for how to learn maths for finance
    35
  2135. "A Book of Curves".... not quite what I was expecting 😂
    35
  2136. Im a bit jealous of this literature you guys have in your mothers langauge. Reading math books, and foremost understanding the text in english is still pretty heavy for me, but ill hope it gets better overtime.
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  2137. It’s actually easier to cheat in class lol.
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  2138. Ramanujan is easily amongst the smartest who ever lived
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  2139. Babe wake up the math sorcerer uploaded a video
    35
  2140. The space time continuum skit had me on the floor.
    35
  2141. "Wisdom is the most important thing, so acquire wisdom, and with all that you acquire, acquire understanding." - Proverbs 4:7
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  2142. Haha, based on the intro I thought you were going to say “real analysis”!
    35
  2143. use wolframalpha, LOL this got my laughing hard
    35
  2144. It sucks because everything is online, it's so easy to get distracted.
    35
  2145. The Physics Sorcerer
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  2146. Wow never was so early
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  2147. I am in love with old books, it's like they hold something of inestimable value : knowledge, ideas, concepts, thoughts that our predecessors wrote about during times where technology, artificial intelligence and computers were not born yet, and through their brilliant work they made the world advance a little more each now and then, till we arrive in the century we currently live in. PS. English is my second language, some mistakes probably got in my text
    35
  2148. Could use more difficult examples. This example is the one literally everyone covers and doesn't help at all in figuring out difficult functions.
    35
  2149. My school is weird ... they call this class not “Advanced Calculus” or “Real Analysis”... but “Real Variables”. They call “Real Analysis” the graduate level version.
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  2150. Thank you my teacher.first I had big problems by subtracting normal numbers and decimals but now I understood very well so you helped me thank you 😊
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  2151. The beauty of the book is it gives explicit proofs and doesn't waste time. BEAUTIFUL geometric picts as well. Most modern math texts dumb down content, or go too advanced to show off without proofs they leave as exercises (and probably are too lazy to show and know), pad paper to fill some administrative quota by a cynical publisher caring only about profit, and bore students before they have a chance to learn the good stuff that would inspire.
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  2152. Like this comment if you clicked on this video because you are bad at math
    35
  2153. 3 - 5 hours each day, depending how much free time I can steal for studying. Sunday is always my lazy day and I watch tutorials in the quiet corners of cafés and restaurants, of course with my headphones on. I am a victim of habit.
    35
  2154. I just finished studying. I was studying for 4 hours and was only able to get through a quarter of a chapter.
    35
  2155. No sorcerer is complete without a familiar.
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  2156. bro is the sun
    35
  2157. In the early '70s, here in UK, I did a dual-award degree, Computational Science and Physics. Two sets of books were by my side: Knuth and Feynman; they still are.
    35
  2158. my math professor taught this today and did it in like 3 seconds, explained nothing and expected everyone to understand and just moved on but told us we have to memorize how to solve it 😑. this video is a life saver
    35
  2159. "I don't personally know anyone who knows everything in this book." This is interesting to hear. When looking at textbooks like this I assumed you would have to master the whole text in your first year of grad school.
    35
  2160. oh man, your library is something impressive for any math lover. I want to one day own something close, I recently purchased "The Elements" being the first of many.
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  2161. Been hitting the gym as well. Good to see a fellow mathematics enjoyer gymmaxxing.
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  2162. eso es cierto
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  2163. So thick he didn’t even say genius
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  2164. A video about the dark side of teaching math would be interesting. I don't know if there's a dark side to teaching it in college, but I think there might be a dark side to teaching math in junior high or high school based on stories I read about schools today I just mean all the interference from parents and interference from other entities like politics
    35
  2165. Please do keep sending these minimotivations. Is there any minimum time per session for a consistent journey? Thanks and take care too.
    35
  2166. Stanley is the type of guy who drinks 3 cups of strong coffee before sleeping
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  2167. Definitely keep notes. I like using plain unlined copier/printer paper and binders to keep them in. By using binders you can add pages, remove pages, and move pages around easily. If you have a lot of notes or subjects, you might try researching the John Locke index method. There is an older book called "Writing the Laboratory Notebook" by Howard Kanare which is helpful for methodologies for general scientific notekeeping, but applies to math and other subjects as well, and is an entertaining read. I have heard many suggestions of keeping notes with other methods, i.e. computer, Ipads, tablets, etc., but it isn't the same. Nothing beats real books and real notebooks. They work anywhere, they don't need batteries, and they will outlast you. Good luck on your self-learning endeavors whatever they may be.
    35
  2168. I dropped out in 89', got my GED over 10 years later and now 30+ years after dropping out I am taking my Intermediate Algebra final tomorrow! I have also been accumulating math books so I can also different perspectives from different authors and time periods. I started by buying 5th grade workbooks, then pre-algebra, skipped elementary algebra and jumped straight into Intermediate. I am going to self study Spring 22' to prepare for college algebra in Fall 22'. Reached out to the instructor and he sent me Stewart 7ed Precalculus text book to self study. Thank You Math Sorcerer, you have an immense source of motivation and inspiration!
    35
  2169. Motivated speech! I’ve just got a bachelor in computer science and wanted to learn about electrical engineering but it’s quite hard to start 😢
    35
  2170. You know... I'm starting to get real suspicious that you and your twin brother are never in the same shot together... You guys must be collaborating long distance, impressed with the amount of dedication, keep it up!
    35
  2171. I think older learners have significant advantages over younger learners. My impression is that tend to want to take things slower and learn them deeper rather than just have the attitude of "shut up and calculate". However given that I am 44, this may be just my bias.
    35
  2172. If we subtract social media and TV from our life, there'll be so much spare time added.
    35
  2173. Every mathematician must develop his own methods to relieve burnout but one starting point is to do some physical activities the opposite of intellectual activity.
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  2174. It feels like you're more passionate about this than math. 😆
    35
  2175. Real Analysis I: A summoner has disconnected I felt that.
    35
  2176. We need a Kindle version of your book. While I prefer physical books for my math study, all my other reading is best done on a Kindle.
    35
  2177. I think everyone has a “super-power” attribute, but tend to focus on our weaker attributes. For example, I am very good at focusing and solving complex problems mainly because I am hyper-persistent and don’t accept defeat. I will go to bed and have dreams of how to solve it. That’s how much I immerse myself. However, I lack stamina when the road is straight. I get bored easily and it can take a long time covering basic territory. So somebody out there is my inverse, and struggles with drive when things get tough, but breeze through most days, and probably got ahead faster in school, etc. I think if you add these all up it kind of zeroes out for most of us, and we are just as well positioned as the next person without realizing it because we tend to see only our weaknesses.
    34
  2178. One of the most interesting aspects of a high IQ is the fact that it supposedly cuts the learning curve. Therefore people learning math (and many other subjects...) at different rates may simply be explained by different IQs. Once a Yale physics professor who worked with Ed Witten (I know he's a physicist, but he won the Fields medal so...) said what follows: << My stay was nearly over when one day Ed Witten said to me, "I just learnt a new way to find exact S-matrices in two dimensions invented by Zamolodchikov and I want to extend the ideas to supersymmetric models. You are the S-matrix expert, aren't you? Why don't we work together?" I was delighted. All my years of training in Berkeley gave me a tremendous advantage over Ed— *for an entire week*. >> Of course, Witten's intelligence is off the charts, but still, with the due proportion, it illustrates one key difference about learning between the average Joe and a person with a high IQ: years and years of training vs one week! That being said, most people with average IQs can still learn math (a new language/chess/physics... or anything!) at a high level anyway, even in their adulthood, it just takes a long time and a strong commitment.
    34
  2179. Watching this video at 3 o'Clock in the morning while sitting on that math problem all day and night long is purely ironic.
    34
  2180. Would love to see more CS and physics book videos👌🏾
    34
  2181. Third-grade math mistakes are all I make in multivariable calculus.
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  2182. I think one of the biggest reasons why calc 3 feels harder for me is the fact that in my calc 2 class, a lot of people just like me were bad at math, and it wasn’t too hard to get average or above average on tests, and since the tests were curved, as long as you are average or above, you’re fine. Once you take a calculus class above calc 2 however, almost everyone in your class is a math wiz. I think I am one of only around 3 people in my class who are barely passing calc 3 at the moment.
    34
  2183. By far the best explained video on Line Integrals!!
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  2184. Can you explain maybe how being a master in one subject, say calculus; can translate into better understanding other math subjects? That would be useful for me to understand the general intuition of the unity of mathematics. Like always, thank you for posting!
    34
  2185. "Just make sure that you prioritize your time don't spend too much time on a math problem" Andrew wiles : (•_•)
    34
  2186. I always looked at it like this: Math has answer, it's litigious, tiring and boring but it's accomplishable. It's not has hard as we make it or use as an excuse to not do it. It's work but gets easier as you become accustomed too.
    34
  2187. Especially recently it's been really hard for me to stay motivated, I've been doing a lot of work still but it feels a bit emptier I'm not getting as much out of it as I used to. I know I just need to push through, keep studying and ths enthusiasm will come back. Your videos are always really helpful and motivating for me so please keep making them!
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  2188. I have a lot of books because of you and for sure I gonna need 500 years to read them all! Thank you Sir!!!
    34
  2189. 2:00 About the “I don’t believe in grades/tests —do what you want to learn” thing... I legitimately had a intro to Music Theory Professor in college who subscribed to that philosophy. No real homework, tests were open note and literally directly from the slides he posted as lecture notes. Most of the time he told stories for half the class. Everyone loved him. Everyone learned stuff too. It was great.
    34
  2190. Best teacher/mentor ever. Make a video on self studying undergraduate pure Mathematics.
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  2191. Vector calculus was actually “designed” to be applied for physics as calculus was intended to so there’s definitely stuff like “position”, “speed of a curve”(this is an archaic term) etc etc well at least latently to what’s presented in the book. A book I referred to back in the day, was the one by BS Grewal: loads of work outs
    34
  2192. The caveats are most interesting. Assume history applies forward, how far back do we look, what are the key factors driving the results. . .
    34
  2193. As a side note, I wonder how many people get into a PhD program and go through all the classes and exams, but aren't able to finish the degree, and have to leave emptyhanded.
    34
  2194. I'm binge watching every video of this channel, this channel contains all the new knowledge I require and the fair share of entertainment!
    34
  2195. I’m retired, and am planning to go back to school for a physics degree, so I’m not too concerned about getting a job after😂. I was a mechanical engineering major back in the day.
    34
  2196. Thank you so much for this video; I truly needed it. Nothing is going to get in my way. ❤ Here I come.
    34
  2197.  @sentientartificialintelligence  the librarian stopped him because they thought he was too young to read this. Hope that explains why he said it was for his dad, because I'm pretty sure he was much older, which means, according to the librarian, that he actually has the ability to study calculus. Not like he knew he was speaking to a prodigy.
    34
  2198. Y’all study some wild shit LMAO
    34
  2199. A reason to only allow positive factors is so that the infinite product is equivalent to an infinite sum of logs of the factors. Allowing negative factors only adds non-essential complications. A corresponding reason to call a limit of 0 divergent is that it corresponds to the log sum diverging to -infinity.
    34
  2200. Lol I thought you were gonna throw them in the fire.
    34
  2201. I am a fresh math major, I've started studying set theory and usually get stuck on every single page and spend huge amount of time just to get around the axioms, definitions, these lemma section that are left there without a single proof (those can take me even hours to figure out even though there are usually obvious and simple śtatements)
    34
  2202. It’s great to see someone excited about their passion
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  2203. I just did a little poorer than I hoped for on my linear algebra exam a couple of hours ago and was feeling a bit down about it. It was nice being reminded of this, and at the perfect time. Thank you for the motivating words!
    34
  2204. I don't comment on your channel much; I think only once or twice, now that I think about it. I'm studying computer engineering. With constant practice and viewing the resources on your channel and website, I've gained more confidence and I'm getting better. I used to think I was bad at math, but it turns out I just need a lot of practice and consistency. So thank you ☺️
    34
  2205. Some questions in advanced books are nearly impossible for average intelligent students. However, usually, there are some geniuses on Stack Exchange who can give some hints if you show your work to prove you have done your best. Overall, having full solutions for every exercise might not be a very good idea because you can’t learn math without challenging yourself, but having some hints for difficult questions at the end of the book would be very helpful.
    34
  2206. Hi! Thanks for all that you're doing. Med student who barely knows math anymore. Hopefully I will, soon!
    34
  2207. I'm an Engineering major and my professor(really a TA) this semester for Diff Eq. is useless with online school. I've been using your videos to help me. Thank you so much
    34
  2208. Lol, I was in that class too! We were in the same class? That crazy. Yo, how many on this video do we know more?😂
    34
  2209. Just know we love and support you❤
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  2210. Wish there were more like you
    34
  2211. I forgot how to multiply 3 binomials together. This video was very helpful. Thank you.
    34
  2212. These old books are the BEST, straight to the point, precise definitions, Real Math
    34
  2213. 1 math course if the prof is hard, 5 if the profs are easy
    34
  2214. I used to be a progamer, long story. The jist was it took me years and over 15,000 hours to get on the level of someone who could get to where I was in months. I was always frustrated with my prospects, wonderinng what they had that I didn't. Eventually I learned to make this my strength though. I kept on improving in the thick of it where talent hit a wall and shit got brutal. Resilience and grit was my strength. Ultimately I'm no longer a progamer, now I'm a biochemical engineering student. That time was not wasted though. I took with me that resilience and grit and I still use it as my strength as a student, and it turns out I have quite the aptitude for math. All I've ever really known was how to take a beating, but now I'm doing something different. That lesson was still so valuable, I wish everyone could experience it. I view being able to go where no one else wants to go as my talent, it's a skillset that trumps any other skillset.
    34
  2215. Hello, my dog says he is still unclear wether a=2, b=4 & c=7. Yeah I completely talk with dogs and understand them, don't you?
    34
  2216. Hey there, MS!! I'm among your greatest fans and I love what you're doing. You're a human(e) being!! I LOVE YOUR VIDEOS!!! Whenever I see a new one of yours, I'm like a kid opening up presents on Christmas morning!! YOU'RE AWESOME!!!! :) :) :) :)
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  2217. Embracing the difficult not only applies to Mathematics, I'd say its key for life. Learning to dance in the rain is LIFE!.
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  2218. Math is now my favorite "discipline". How many others can say that?
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  2219. This video is just what I needed! I will be taking Real Analysis in the fall and I've heard from friends how insanely difficult it is. I'm trying to get into my warrior mindset before the semester starts!
    34
  2220. Yes I also would like to know the why . And would you mind doing an intuitive version video of directional derivatives using the gradient ? I really want to understand that one as well . Thank you !!
    34
  2221. Reads title (yells out loud): ohhh.... snap! Also, why does MathKaren sound like the sort of person who fails engineers for rounding of calculations to 4 decimal places?
    34
  2222. For a second there I thought it actually was Jeff Bezos😂
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  2223. best math channel ive ever came accrosed. you genuinely changed my life! never would i have thought about sitting down, read and enjoy a math book...
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  2224. I’m a junior in HS and I’ve seen your channel and book reviews on and off for the past year or so and I’ve finally decided that this is the summer where I finally start diving deep into math I got these two books; How to Prove It: A Structured Approach Thomas' Calculus Early Transcendentals 12.e I just wanna say your content is amazing and I can’t wait to get started with these two. Looking forward to more of you content!
    33
  2225. No one is bad at math that’s just a thought that everyone let’s in there way when I think of math I think of puzzles everyone thinks they’re bad at math but with practice you get better it’s the work you are willing to put in I’m not the best at math but that’s because I’ve made so many excuses for not trying I know I can be great at math I just need to put in the work it’s my senior year of highschool and I set my self a challenge I promised myself that I will study all the math that’s out there and perfect it till the day I give my last breath.
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  2226. This was a fun view. I hope it was okay to do math problems while watching😉 I'm still at level one.
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  2227. Thank you for creating these study with me videos!
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  2228. What I retain is that THE MATH DOES NOT LIE. 😄
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  2229. This guy knows enough mathmatics to be dangerous
    33
  2230. During WWII, General Omar Bradley was known for doing integral calculus in his tent at night to keep his mind sharp.
    33
  2231. I'm going to be majoring in Mathematics and Computer Science, basically a lot of math with some of it applied to computational science. I hope I can use that knowledge beneficially
    33
  2232. You know, I really appreciate all of your videos because they all truly help me. I am a 16 year old with a G.E.D. and I collect so many books that all serve a purpose, and I have only used this book once. Seeing this video really showed me that I should never underestimate the power of any book, most importantly this one. I have this book just collecting dust in my personal library thinking that it was useless, but you showed me that what I thought is completely untrue. I am going to share the Everything you need to ace algebra book with my brother who is currently struggling with algebra. Thank you very much!
    33
  2233. This is helpful advice for any arena of life I feel. As a filmmaker (and YouTuber) I get so worked up, frustrated, anxiety-ridden over every little video that I make, overanalyzing whether it's funny, watchable, entertaining, why it didn't get more views/likes/subscribers, worrying that it sucks horribly and I should've never made it.... when I could just finish the video/film, put it out there, let it exist, and move onto the next film project. Thankyou, time to finish watching the video lol.
    33
  2234. YouTube: Start learning mathematics... Indians: Don't cite the dark magic to me witch.
    33
  2235. Oh well, she was too smart for them anyways.
    33
  2236. Matt Dathew I always say calc 2 is harder mechanically but calc 3 is harder conceptually.
    33
  2237. Oh man, if only you had been my multivariable calculus teacher. Great stuff
    33
  2238. Well, it's pretty standard collection for applied mathematicians - we learned all those functions in university. I couldn't comprehend them at the time but I still remember the names.
    33
  2239. I failed every math class for 2 years straight and then after that the only thing that helped me was hard work.I started doing many math exercises etc with intense focus and then in the end it all worked out. I was also patient and would always just do everything from the start.I always belive in my self but the hard work is also required.
    33
  2240. Hey! I'm 17. I really needed the encouragement. With college coming around the corner, I'm concerned about whether or not I'll be able to step up to the challenge. It's hard for me to be optimistic when I don't have very much confidence in my own abilities. Thanks for the insight! I recently found my passion for mathematics, and I purchased some of Serge Lang's books that you recommended, which include A First Course in Calculus and Calculus of Several Variables. Your videos have inspired me to become more drawn to the intricacies of complex math. I want to become a mathematician just like you.
    33
  2241. Sure, make the tests even harder for us TAs to grade. Give us more homework to correct. We have absolutely nothing better to do. (:
    33
  2242. When reading a chess game from a book, experts recommend that you cover up the next move with a paper and try to work out the next move for yourself before revealing what the master actually played, as a way to up your game. Maybe that's the way to read a math book. After you read the initial material from a chapter explaining a new method to solve a problem, cover up the solution to the worked examples with a paper and work them out for yourself. Should help when you get to the homework. Also, are there busts of famous mathematicians, like Euler or Newton or Gauss? They would make neat ornaments for your office.
    33
  2243. I'd go as far as to say that nothing prepares you for the real world. In the long run at least, it always turns out quite a bit different than expected. And the surprises never stop.
    33
  2244. I've been a programmer for 30 years. There are constantly new tools, application frameworks and languages popping up replacing the ones you have already learned. So keep the learning pace up or you'll get obsolete.
    33
  2245. Why is no one talking abt this epic shirt? I ate(eight) some(sum) pi(e) this is just genius
    33
  2246. The size does matter. - The Math Sorcerer
    33
  2247. the single most wholesome thing on planet earth
    33
  2248. My AP physics class was taught with NO calculus. It was mostly algebra based, but there were some BASIC trig concepts that we needed to know. It was amazing!
    33
  2249. Best calculator for calculus : human brain 🧠 😅
    33
  2250. Couldn't agree more and just really REALLY wanted to thanks. Your channel is invaluable. I first had "math anxiety" during my first Logics lecture exam, when I realized my knowledge was nowhere where it should be, and acing the seminar didn't mean an instant pass in the lecture exam... Just looked at the test page and tried my very best for the 90 minutes I had but knew I couldn't do it... then I realized I may not be as good as math then I thought - cause I never had to study or try... I almost wanted to give up persuing my degree and all... And then your videos came and it just helped me accept that "just being good" or getting things fast or not getting things fast, or failing to understand something doesn't mean anything just that one hasn't put in enough hours... I felt I couldn't do my degree because at that point I felt I cannot understand any real math stuff... but watching your videoes just helped me SO much to realize that it's not the point to understand instantly, working hard is okay. It's not a shame. I felt suddenly math symbols got scary "I have Logics PTSD" even though I loved it before the exam... then your vidoes helped me realize all I really need is just to go thtouhg the language, practice and retake the course it's not the end of my capabilities. I think I will rewatch this video again and again if whenever I fail a test, or an exam in the future.
    33
  2251. First, this is like a universe sign to me.
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  2252. Blood is pivoting from mathematics to philosophy.
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  2253. The Math Sorcerer always giving sensible advice.
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  2254. Wow I literally spent most of yesterday trying to find the best way to progress through maths, searching various websites (including videos on your own channel), and then this falls out of the sky today. I’m in my final year of secondary school in Scotland doing advanced maths and I was really considering reading maths at university but it’s much harder to get into a medical school postgrad than entering right out of school. This really bummed me out because I love maths and it’s been my favourite subject at school so far, I really didn’t just want to just stop at complex numbers, proofs, differential equations and what in America would maybe be considered Calc I in college? Idk man but pursuing your channel the last couple of weeks has really motivated me to keep up with it at university, even if I have limited time between studying. All the best man, what you’re doing with this channel is phenomenal, you and blackpenredpen make me question my vocation sometimes.
    33
  2255. I have always preferred self studying than someone else teaching me. The whole concept of it makes me feel smarter. By the way, I bought your Udemy course and it's awesome!!!!!!!
    33
  2256. When I was learning in the early 1980's PASCAL was the language of choice. My first ever special order book was Niklaus Wirth's, "Algorithms + Data Structures = Programs". I've read it several times and it taught me a lot. When I learned C in the late 80's, K&R was the book I studied 1 summer while being an under-utilized intern. Both are still on my shelf, along with the ANSI update to K&R. Until very recently, my job was 100% C for the Unix kernel, which is pretty much it's last bastion. Little if any new software is started in C. Go, Rust, Python and more are all preferred these days.
    33
  2257. At first glance, it seemed a mathematical physics text for me. It contains tons of physics examples, from classical to quantum. Anyway I learned a lot math from this book!
    33
  2258. What's absolutely hilarious is these are literally ALL the things my philosophy professor used to say. Especially "come grab a beer with me and we'll just hang out and just don't worry about the homework"
    33
  2259. Being humble is one way to identify a quality person.
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  2260. My high school track coach used to say, "hard work beats talent if talent doesn't work hard."
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  2261. The main mistake that many olympic students end up making is math anxiety, that is, wanting to finish topics that take longer in days, I do math olympics myself and I've done that and it didn't bring good results. Focus and attention on a particular content.
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  2262. I can see that we do not have an ordinary low strength high int wizard right here, it is the sword mage that would wield huuuuge moonlight greatsword :), an excellent physique indeed keep up the grind
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  2263. I appreciate these harsh lessons. My dad died when I was younger so I missed a lot of these kinds of encouraging talks growing up. Thanks Sorcerer Wish me luck with my second Calc 2 go-around this semester.
    33
  2264. I love Logs and trig in algebra...and did well in those classes compared to poly functions lol The thing that tripped me back then was silly mistakes. I am back to self studying math in my late twenties.
    33
  2265. The Tech Lead is not a true tech lead, but the Math Sorcerer is a true math sorcerer.
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  2266. Very good list. I listened to another youtuber, a stanford PhD in learning (Benjamin Keep). He also mentioned "rotational learning", switching between subjects and topics. There is appearently scientific evidence that this really improves long term memory and understanding. It also feels better with some change of topic once in a while.
    33
  2267. Data scientist is one of the careers I’m looking to become, but I’m also interested in becoming a mathematician or math professor. Thanks for the books!
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  2268. All very solid advice. One thing I would add is don't overdo it on how many courses you're taking. One semester I took seven math courses and ended up failing two, getting a D on one and doing average in the others. The next semester I did only three courses, graduate level math courses, and got A's on all three. One of the A's was a course I failed the previous semester. Reducing stress, not overextending yourself and giving yourself plenty of time makes a huge difference. This isn't a race. Best to give yourself a work load that is sustainable rather than to burn out and feel defeated. When you put all your focus into a single course and ace its exam, that feeling is infinitely better than to take three courses and get an average or worse grade. Your morale matters.
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  2269. Hey Math Sorcerer, I was wondering if you could make a video explaining your personal journey with mathematics? Some people might find it encouraging, and I would love to hear it.
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  2270. Just bought advanced engineering mathematics 7th edition from a thrift store. $3 dollars plus 20% off for instructor discount.
    33
  2271. Lol 2019 and you’re still saving lives, thanks!
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  2272. I love this channel.
    33
  2273. Look at Axler's Measure, Integration and Real Analysis, is free and probably is the best written in the subject.
    33
  2274. I'm working as a mathematics lecturer in India.. Sir.. You and Eddie woo are my inspiration❤️❤️
    33
  2275. This professor actually explains diff eq, based on previous experience I didnt think that was possible.
    33
  2276. A commenter on another video mentioned that the 4th edition was the best, because it included derivations of Kepler's Laws of Planetary Motion, and because later editions were dumbed-down for less prepared students.
    33
  2277. I'm reviewing for my Calc exam on Monday and let me say that this is a huge help! Thanks for uploading the 10 gigs haha
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  2278. You have no idea how much that helped.
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  2279. I wish that were so true. If so, I would have a swollen brain for maths. Caucasian here, I have a thick frizzy hair that looks like barbed wires, enough hair to cover two or three heads. Glass hair syndrome.
    33
  2280. Bro looks llike an ancient mathematician/Scientist.
    33
  2281. I agree that the best way to initially learn is to do. The way to master it is to teach.
    33
  2282. Angry internet "tough guys" and "scholars" claiming giving up is dying on the inside. Didn't know such extremist existed in maths... SMH IMO, Humans are multifaceted and math might not be everyone's cup of tea. You should be proud as long as you're a productive member of society to your maximum potential.
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  2283. I think you missed one thing. I am a self-leaned programmer (well I used internet resources). But now I am doing PhD in computer science at the most prestigious university in my country (I have 13 years of software development experience). The way you can continue to learn is to take pride and joy in learning a little bit. Even understanding a simple derivation is fun. When I learned programming, there was no goal to be a full programmer. I think that grind is impossible to keep up. But I enjoyed doing little tiny things. And after some years, I just could develop full fledged applications.
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  2284. I was working as a professional programmer before encountering C and UNIX (yes, I"m now old and retired). This book - and several others - lived on my nightstand and in my briefcase while I self-instructed into working-level competency. More than 30 years ago.
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  2285. Dude, this video was amazing! Could you possibly do more videos in the same fashion? Where you explain mathematical concepts in a conversational manner.
    32
  2286. I recently did a problem like this. The solution was to draw a graph, with a point. This causes you to think of two possible solutions and then it became easy. Thank you for showing us this.
    32
  2287. These types of books keep me motivated especially since I'm barely past high school math . I like paging through even though I dont understand a thing about it but it makes me excited to learn more 🤗
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  2288. TIIIIIIIIIIIIIIIIIIIMES!!
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  2289. Self doubt is good, it make me go learn to become better. Too much is bad too, moderation is the key.
    32
  2290. I dont want to be super intelligent, i want to learn by hardwork and enjoy my struggle.
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  2291. I also believed that I was not "smart enough" to do Math. When I struggled with certain topics I thought this was proof that I just don`t have a math brain. I almost gave up this semester and came across "The Math Sorcerer". I realized that putting in hours to complete my homework didn`t mean I was dumb but just a normal part of the process in math. He taught that I should excpect to work hard, I should expect to put in the hours. This made all the difference.
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  2292. Great video. The stoics also developed similar ideas. Meditations 5 16: " Such as are your habitual thoughts, such also will be the character of your mind; for the soul becomes dyed with the color of its thoughts."
    32
  2293. I got this book after watching one of your old videos, and it’s helped me tremendously. Not only has it helped understand the process of writing proofs, unlike discrete books, but I’m more comfortable with reading math textbooks now. 10/10 recommend
    32
  2294. My math prof for analysis, Ed Perkins at UBC, in the 1980s told me this was his favourite calculus book. I've always wanted to check it out.
    32
  2295. Last year of my PhD. It’s funny that my study habits evolved to much of this advice. The hardest part for me was finding the beauty in the math I’ve done. Especially now with my own research. You really do need to sit back and realize the beauty of how much we know and don’t know.
    32
  2296. Hands down the most clear explanation of divisibility induction I've seen. Genuinely thank you and congratulations every single video of yours on induction I've seen holds up as well
    32
  2297. You, sir, are a man of tremendous wisdom. Thanks for the cool advice mate :)
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  2298. As a secondary math teacher, I wish curriculum writers would include finance and money management. Soooo many students crave to know that! Instead we cater to the ACT and SAT...
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  2299. you know you're an angel right? <3
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  2300. Make doing math a habbit , I did little little amount of math everyday, now if I don't so some math every day it's feels wrong , alot of people study math for passing exams and what not , it's stress alot of stress , when you just study math and do math problems without the fear that an exam is on the clock is much better but that takes away the beauty of mathematics , and if you don't have quiet time then just wake up at 5am and do math first thing in the morning , make it your morning routine just like some people run every morning .
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  2301. I’m so pleased I stumbled across this channel.
    32
  2302. Back then in 2014, I read this masterpiece in my free time as an undergrad physics student. It really improved my understanding of calculus, as my calculus course was focused on application and not rigorous.
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  2303. as a math major student, I’m really surprised we covered all the topics mentioned in this video except for topology omg Orz.... what have I done with my life
    32
  2304. Thought process without remembering or knowing that rule: 3³+3³+3³= Sum of three identical items. 3(3³)= Equals three times that item. 3(3•3•3)= Cube expressed as multiplication. 3•3•3•3= Order of operations will clearly not alter result as all operations are the same 3⁴ Simpler way to express repeated multiplication of the same number. Took me longer than I care to admit to solve this.
    32
  2305. The part about embracing really struck a chord with me. For a long time i struggled with math, i dossed a lot early on in high school and it took some time to catch up. I've recently come to find that I'm not as bad as I think i am (im just a bit slow on uptake) but I've found through just applying math learning to projects im working on and just sitting around thinking about topics, the insight and links between topics make more sense and ive learned to embrace the journey as a life long goal rather than a short term one.
    32
  2306. One shouldn't fear but fear itself
    32
  2307. I’m so glad someone like you make a video like this to encourage people to learn math I have interest in learning math and I do understand the importance of learning math, especially when it’s come to advanced academic study But, on the other hand, I feel so depressed when learning math, not just because math is super hard, but when I see my fellow schoolmates pick up and learning math way more faster than I do( I am Asian btw), I feel so inferior compared to others , wondering what is the point of learning this if I could hardly pass the test or grasp the mathematical concepts Once again, thank you for your encouragement
    32
  2308. Someone once said "You've got to suck at something for a long time to get good at it." My saying. There are only two steps to success: 1. Start. 2. Dont quit.
    32
  2309. Really love Paul Halmos and his Naive Set Theory book which I'm currently studying. He wrote his autobiography titled I Want to be a Mathematician.....I would advise anyone interested in math to read it. Such a wonderful book about his life and other famous mathematicians.
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  2310. Beautifully put 🙌
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  2311. Thank you for this😊.
    32
  2312. You don’t need to be rich to study maths. You just need 3 things: pen, paper and hard work 👍🏼
    32
  2313. The Del operator is so ubiquitous in many applied mathematical fields and this little gem of a book is a great introduction to it's uses. I've had my own copy for over twenty five years and have given away several copies to promising associates who I've mentored over the years.
    32
  2314. I have been told that procrastination deals with anxiety. If a person makes studying fun, then we’ll always be on top of the studies. With that being said, I’m procrastinating on biology note taking because how can studying be fun if you’re reading off a textbook? Not sure, but implementing study methods brings joy to me. Great video nonetheless, professor
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  2315. 😂😂😂
    32
  2316. As a newbie in financial markets and a CS graduate, this is just in time to motivate me to learn more math. Thanks.
    32
  2317. This sounds really good to begin with.. I am so gonna start reading it from tomorrow 10 days from now with all my scl work i wish i could complete it too... Thank you so much sir.. It is a great recommendation ; : just saying i started to love math all by reading by myself n you are a great inspiration , cant put into words how helpful your work is.. 😊
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  2318. My hindi friend showed me this Indian grade 12 textbook and it had difeqs so yeah.
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  2319. he's definitly the EXCEPTION when it comes to 'theoretical/pure mathematicians' Outside of academia, good luck finding a decent paying job. The jobs that do pay well often have more criteria and training beyond what is studies outside the 'gate'
    32
  2320. In every single interview I had before I got my job there was some form a discrete math problem usually dealing with logic. This is important!
    32
  2321. You may not know it , but the fact that you put this in ORDER , heavily removed my anxiety ❤ Thank you Just thank you
    32
  2322. All the answers to the question: "where should I start with math" have been the same: "it depends what do you want from math; there is a lot of math branches; it depends on the knowledge you have; etc., etc.". Of course, I have some basic knowledge from primary and secondary school, the same as I have some basic knowledge of art, music, physics, or biology. But, if I want to start learning chemistry or IT seriously, I have to start from somewhere, so I should ask someone who is into that, what should I do, where should I start, with no extra sub-questions and sub-answers. So actually that was the meaning of my question. In the same way, I would ask some top master chef, where should I start with learning how to cook.
    32
  2323. LOVE YOUR LIBRARY, MS!!!! The fact that this is a mathematics library makes it even MORE interesting!! BTW, I also have a math library here at home. :) :) Four bookcases filled with pure math, one bookcase full of math history books and two smaller bookcases--one for my math reference books (handbooks, dictionaries, encyclopedias, glossaries and whatnot) and one for my historically significant math texts (e.g. works by Euclid, al-Khwarismi, Fibonacci, Descartes and Cantor to name a few).
    32
  2324. This was very encouraging! I’m currently taking Linear Algebra and I just don’t like it that much. It’s my first math class that involves proofs which I find very difficult. It also seems very abstract and i don’t really understand how it is applied. I preferred my Calculus classes because I could really see the big picture and it made more sense to me:)
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  2325. The maths tutor we all need! lets go people!
    32
  2326. Don't quit. I think I'm pretty average intelligence and in my math classes so far I've seen geniuses not pass because even though they can understand the topic faster than me, they do not study or do the homework like me. It was a true compliment when at the end of my calc 2 course they told me I was the smart one. Those geniuses are still my friends too haha. Just don't quit, go kaioken x10
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  2327. 15 hours a day... Your body will degrade before you can make any important discoveries. You need to find balance.
    32
  2328. yeah, i figured that out in 1978 when my parents shuffled me around to four different states before it was time for kindergarten.
    32
  2329. so today we'll be learning how to make an easy 2 billion....
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  2330. The shots at the window were extremely soothing... Looking forward to the sequel.
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  2331. 0:37 no wonder I haven't heard about the first two books. They're pretty discrete indeed.
    32
  2332. I was a philosophy major who always sucked at math. Dropped out at 16. Hated it, never liked it. Had to take remedial classes in college before i could transfer and focus on philosophy....well it turns out everything I loved about philosophy was also in math so now I'm set to transfer and double major in both come January ^.^
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  2333. The mistake is that the number 0 actually exists
    31
  2334. There is grand pa Rudin too ‘functional analysis’ by Walter Rudin.
    31
  2335. All my life I was afraid of math, I'm an old man now. I want a math degree. I just stumbled on this man, I hope he can help me.
    31
  2336. I went to community college for 2 years and got my associate's degree in science (with an emphasis in math). After that I made the choice to go into the work force, even though my heart was always in mathematics. After two years I realized I wasn't happy, and that I wanted to continue my education. This summer I'm graduating with my Bachelor's in mathematics and will be going to graduate school at the University of Missouri this Fall. I'm also getting married next week to my beautiful fiancee. Sometimes I kick myself because I know that if I didn't take a break, I would already have my Master's degree. But I constantly remind myself that life is a marathon and not a race. If I didn't take those years off my life would be so different (I may have never met the love of my life). Everything happens for a reason. Chase your dreams, even if it takes you longer than you anticipated!
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  2337. I hate math but when someone explains it I love it. Thanks bro
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  2338. I haven’t watched all of it yet but so far your questions are really good. You should do more interviews!
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  2339. Your excitement made me excited :) Thanks this was very helpful!
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  2340. Boy, I’m looking forward to the day I understand this fully. Till then, I’m going to rewatch and study as often as possible. Thank you for the demonstration 🥂
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  2341. 1:06 Math outside?! This guy is wild!
    31
  2342. I cannot believe this! You’re exactly like that story you told about the Chinese grad student, the Cuban man who spoke perfect english. Amazing!
    31
  2343. I took Real Analysis 4 years ago (graduated with BS in Math in 2017) and I just had a nightmare about failing the final exam last night so yes, that's my vote for the hardest class I've ever taken.
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  2344. "WE LOVE YOU MATH SORCERER" We all say in unison.
    31
  2345. You have provided a clear solution. It is so wise and kind of you to help me with my studies!
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  2346. Coincidentally this is gonna be the title of my autobiography, which will not contain any mathematics.
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  2347. Most College Students have limited budgets, therefore owning a couple of those Giant Books is problematic. Of course that is for just Calculus I, II, and III. That gets you to the middle of your Sophomore year. Then comes Differential Equations, Linear Algebra, Real Variables, Complex Variables, Fourier Series, Topology, and Number Theory. That's a total of 8 topics in Math. With three books per topic at $50 each, that's a $1200 Investment. Being a Math Major is HARD on the Pocket Book!!!
    31
  2348. Books are so much better but pdfs are freee
    31
  2349. The best way to learn anything is to learn to like what you are studying.
    31
  2350. Please make one for physics too! Thank you so much🙏
    31
  2351. Lars Ahlfors was one of the first winners of the Fields Medal in 1939 at the age of 29. He was Finnish and worked at University of Helsinki. Andrew Weil went visit him in that same year, 1939. Weil was a reserve officer in the French Army and didn’t want to get called up for active duty. The hotel workers thought he was suspicious sitting on the beach with his wife typing up a manuscript and reported him to the Finnish police intelligence. He was then arrested for spying. They became convinced that his writings were some kind of secret coded messages and sentenced him for execution. Other evidence was a packet of calling cards with the name Nicolas Bourbaki of the Royal Academy of Poldevia. The night before the execution a friend intervened and got the sentence changed to deportation to Sweden. From the book “The Artist and the Mathematician - The Story of Nicolas Bourbaki” by Aczel.
    31
  2352. I'm a math person, ex grad student (in physics), all that jazz, was never particularly interested in deep relationships beyond "casual friends to play video games with once or twice a month" until I was like, nearly 30. although I think that was mostly becuase it's when the burnout hit really hard. life's more than being brainy
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  2353. Currently reading "Linear Algebra and its Applications" by David Lay. It's very well written and I would recommend it to engineer majors because there are application sections at the end of each chapter. Reading these real-life applications help me with other classes such as modeling (numerical) methods for aerospace engineering.
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  2354. This book was re-assembled in a workshop, we used to have them at the end of the Soviet era do for you like a year of magazine subscriptions or some novels from a magazine. The second stamp is in Hebrew. I think that it was taken from the Soviet library, then re-covered somewhere, then taken to Israel library if you make a better copy I can ask someone to check the translation, and now you got it from someone.
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  2355. Wall Street Wizard!
    31
  2356. You should do this but for Calculus 2! Thank you so much for this content
    31
  2357. I like that the camera is slightly tilted.
    31
  2358. Oh man, I was JUST STUDYING LIMITS for almost 2 hours straight before this started! 🤣❤
    31
  2359. I didn’t understand much of the Spanish but I understood the math. It really is a universal language.
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  2360. I love your content. You can only get so far in your studies by watching maths videos or doing online quizzes. It’s imperative to actually pick up a book and read if you want to make any progress in your studies. That’s why your content is so helpful. It can be tricky buying maths books because there are so many. A lot with scary price tags. But when someone with your expertise reviews and recommend books, the process is so much easier. Thank you so much
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  2361. as the great Shia Labeouf once said, "JUST. DO IT."
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  2362. Hey Sorcerer, I wanted to propose a video idea that I think many of us will benefit from. The idea is if you could perhaps display how you would study for a certain subject or topic, maybe we could simulate your style of studying. It would mean a lot; particularly to me and those of us that really struggles with our studying methods and even sometimes following instructions, a visual guide would be somewhat more defining. Maybe it’s something you could do? Thank you for everything. 🙂
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  2363. im 40. and i just figured out what i want to do with my life. Im studying engineering and my major is naval architecture. I dont know anyone else or have anyone to talk to. Im not lost, i just take 1 step at a time and keep moving forward. being a 40 year old freshman is scary. i feel all of this.
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  2364. In EE we use j for imaginary numbers to avoid confusion with the intensity of current. I'm one month into my first year of electrical engineering and I absolutely love it. Salut from France !
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  2365. Just failed my first Honors Linear Algebra midterm 1st Year undergrad :(
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  2366. I accidentally went from 85kg to 65kg when i started pushing math really hard. So this resonates with me.
    31
  2367. Woah I needed this video because i have been isolating myself for so long and didnt know whats wrong with me. Thank you wizard❤
    31
  2368. When Jeff Bezos would use some of his money to fix his eye and hair. Not that he has to.
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  2369. Undergrads are usually way too immature as mathematicians to write something worthwhile, often they don't have enough mathematics under their belt. Back in the 18th or even 19th century when axiomatics and formalism weren't as much of a big deal you could present some good stuff as an undergrad, you could write "the curve rotates clockwise", "the set has no holes" and nobody would care beyond that. I'd say a chunk of modern applied mathematics work, say in physics or probability, could be written by undergrads, though as we know sooner or later they get formalized properly by actual mathematicians.
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  2370. me when I dont attend my zoom classes
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  2371. I can't explain how much this video brings me joy. I pulled my struggling student from public school and began to homeschool her. Math was her nemesis, and just the thought of doing math was a painful experience for her. I found the perfect spiral math program for her and began to allow her to take control of her lessons, even grading her own material (with supervision). 2 years later as a 6th grader, she reads over her lessons, grades her own papers and redoes her own problems..and is excited to do so! Math has transformed from being something that dominates her to something that she takes ownership of. This confidence spilled over to asking daily to work on logic puzzles and reading classic books with vibrant language. Now she says she feels her brain feels like it's always hungry for more challenges. So, self study being the key to success in learning math?? 💯
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  2372. HA! I am a 44 year old woman who went back to school for chemical engineering a few years ago. If I only had a dollar for every odd look I got from STEM PROFESSORS or the standard line"Engineering? Really? Well, that's a lot of math you know. You have to be really good at math" comments, I would be able to pay for my next semesters books with it. I'm starting junior year next month, done with the math sequence, thanks again for your help through it.
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  2373. First,there's a hypothesis, and after that, there is an intuition, and then, there is rigorous proving. I dont know if this is always true, but this is what I try, because I aspire to become a mathematician, and I try to do it like I'm inventing it, which gives me alot of joy! Reflecting back on my work not only gives me many ideas , it also gives me a revision of what I did, and makes me thorough. Well said sir, very true!
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  2374. I think I still have this textbook !! My favorite was the Bessel and Gamma Functions and integrals, and I believe they did some Fourier Analysis in this text [ though I had a separate text just for Fourier ] .... Strange...I actually enjoyed those topics 🙂
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  2375. Students are lucky to have such a funny and open lecturer
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  2376. I don't understand much english but i think math is an universal lenguaje. Thanks good man.
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  2377. Sir, you are really a sorcerer. One who motivates even novices and layman to study maths..... What I like is you cater to all level of learners and the methodology . Please help me to brush up all maths in a structured and quick way. I have been teaching for 22 years. All I know is school level mathematics and I have forgotten majority of things if higher maths. Please provide a email to personally have corespondence with you. Please do complete handholding for rest of my life. I am 48 now. Is it too late to begin afresh and help myself and students??? Love and Respect from India Sir 🙏
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  2378. I've been tackling Concrete Mathematics on and off. It's quite dense. I've probably spent >100 hours over a couple months and still in Chapter 3. It'll get me more math literate though, so I hope to finish it before undergrad ends. If I do so, I'll ping you to let you know I made it :)
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  2379. This problem specifically confused me so much on my practice exam even with my teacher's solution but you explain it so clearly especially when it comes to rationalizing the numerator! Thank you!
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  2380. This is one of the coolest math books I’ve ever seen. I love the amount of flexibility this book has, this looks like a good read for both beginners as well as more experienced math students. As a math major myself who is taking higher level mathematics courses, I would not find this to be a boring read.
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  2381. I find your videos highly encouraging to want to do Math, even though it's a weakness of mine, you're right, you have to have that goal. I want to be a professional Fire Fighter here in Melbourne Australia, and our aptitude test involves a lot of Math (which has recently been made a lot harder, due to a change in the test provider) So thank you for always coming out with super encouraging, insightful and educational content. It's really lit that flame inside of me, to want to engage in Math, and to become interested and better at Math :)
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  2382. We never had a dedicated trig class in high school. We covered trig in pre-calculus, calculus, and physics. I never really understood why people had a whole class in it. I thought maybe they covered hyperbolic trig and spherical trig, but that doesn't seem to be the case. In college, I had a math professor who was big into history of math. He showed me a bunch of other trig functions like the versine and coversine. He also drew a picture of a big bow and arrow inside the unit circle and described how everything got its name. He was a really great teacher and when he showed stuff like that I got a lot more interested in math.
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  2383. I see you've embraced the way of iron. Dual classing into a Battlemage? Much respect!🏋
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  2384. I would avoid the Stuart books except as a source of practice problems. They are low on concepts and high on procedure. If you get stuck on say the linear and angular velocity part that was pointed out, it's because the book doesn't explain it well. What got me through school and college was buying multiple books and usually one or more of them or as a result of reading all of them, the bigger picture became clear and so the equations started to make sense. I've since written my own text book (not on math) and I did as I would like others to do.. put in way more diagrams and explanations than equations and procedures, so the equations and procedures make sense and are accessible.
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  2385. I'm an engineering student and I really enjoy your videos on maths.
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  2386. 3:31 Feynman technique! Thanks for the video I had gotten back into math over the last year from giving brilliant a try, but I have been a bit inconsistent. I think I know what to do and just need to do it, but when I also consistently watch your videos even the book reviews, I find myself more able or more easily influenced to study. It's weird I really enjoy math, but I feel like I always brush up against mental avoidance, idk maybe it's ADD or something.
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  2387. please continue making videos, I essentially only watch your videos at this point LOL🤓
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  2388. I think most of the people who have interest in mathematics are not interested in material possessions. So if you want to be rich start a business or something.
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  2389. Another great book to add to my math book want list!!!! Thank you so much for all you've done to the service of mathematics and to your subscribers, MS!!!! :) :) :) :) :) :)
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  2390. Easier than what I expected
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  2391. Nothing to be ashamed of. IMO Knowledge should be made free.
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  2392. If you see the beauty of nature you see beauty of mathematics. Ever slice a red cabbage and see fractals, pick up a nautili’s shell and see the golden ratio, the beauty of the milkyway on a July night. It’s all around you. Breathe, breathe in the air.
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  2393. The hardest part for me was becoming comfortable with using the freedom and creativity necessary for writing your own proofs.
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  2394. I have just gone back to reading math books at nighttime. I used to watch lots of math tutorials, while neglecting to read books. Now, math books are my idea of bedtime storybooks. I have James Stewart's books. Inside pages, I keep loose slips of A5 papers with notes and examples of problems & solutions (some copied from tutorials, Math Stackoverflow, Quora, etc). They are handy bookmarkers.
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  2395. more of these reflection provoking videos please i appreciated this, but I'd also like you to connect math more to real world situations as well. I appreciate making those connections myself, but I'd like to hear your interpretations as well.
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  2396. I am a native speaker of German and I studied mathematics (years ago), up to PhD. In my opinion, every student of mathematics ought to be able to read texts in English. Beyond the undergraduate level, most text books are in English. You might also want to engage in online communities, discussing mathematical problems with other students around the world. And it is not difficult: The level, or rather the kind of English needed for mathematical texts is much easier to acquire than, for example, English for literature. Try to get used to it, I promise you will be able to read fluently in no time. (Once you get there, you can learn French for the fun of reading Bourbaki in the original...)
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  2397. I remember saying a few years ago that you needed to write books, and you did. Good job! These will help alot of people
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  2398. I love how you're bring out your best moments in this one promo. I'm learning a bit of linear algebra on my own right now before taking an online course on multivariable calculus in the fall but I feel like I should do more to show the world about how math is applied to the real physical world lol
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  2399. I would agree totally. The only thing I would add is that it would be great to throw in some linear algebra. A knowledge of linear algebra, although maybe not absolutely necessary, really helps.
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  2400. my advice is seek passion through helping others
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  2401. This is inspiring and reminds me of the need to engage in time management. The notion of learning math from the ground up in ten minute increments feels totally manageable! That comes out to nearly 61 hours a year! I cannot remember the last time I spent 61 hours trying to learn anything new!
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  2402. As a mathematician, I totally and vehemently recommend these 3 methods. Those 3 methods help math-learners not only to get A, but to build a strong math background. And by and by, building a math mindset of understanding. Because math is indeed a discipline of understanding and seeing concepts from different perspectives.
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  2403. For real man, it's quite annoying 😂
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  2404. He's going for the jugular guys
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  2405. Honestly most of these are pretty reasonable, in reality it's much worse
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  2406. Grades matter insofar as they can affect your life outcomes in positive or negative ways, at least in the short term. But in my experience they're highly arbitrary. How difficult a course can be and the overall class averages after the final exams seems to vary wildly, at least at my university. I have had courses where I basically phoned it in and really didn't learn anything but ended up with a 90 and courses where I put in enormous effort studying, even to the detriment of other courses, and got a 50. And then I find out, had I taken that same course a term earlier or later, I would have definitely earned at least an 80 with the same effort, due to a different professor/classmates/curve.
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  2407. Great advice! I'm currently teaching myself Set Theory from different books, sources....and I made a habit of doing the practise exercises everyday. No matter where I am, I always keep my little notebook and pen with me, and a copy of math problems from a particular set theory section.
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  2408. "Principles of Mathematical Analysis - Walter Rudin" enteres chat. First semester student: Confused screeching.
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  2409. I just made a huge comeback and scored an A in my second midterm..m so happy
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  2410. maan, you have a nice beard
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  2411. Fun fact: Sheldon Cooper from Big Bang Theory has it in his book collection in his apartment ! I have bought this book a month ago and I’m blown away by its high quality content. It has concrete examples for each chapter making it easy to remember and so enjoyable.
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  2412. The way he says secant makes him sound like an actual sorcerer
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  2413. This was the video I was waiting for, I failed in probability 1 in my 1st semester and couldn't even clear the back paper. Now I have to get 75% aggregate to get promoted to the next year otherwise have to repeat the year. I would like to be guided. P.S:- I am currently in Indian Statistical Institute, Bangalore pursuing BMath
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  2414. Truely remarkable work. Deserves a Nobel Prize!
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  2415. Dude. I want you to know you are loved throughout the world. Most beloved mathematician ever.
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  2416. I struggled as a biochemist in calculus because none of my other classwork applied calculus to science. I didn't understand why I was learning calculus because I couldn't connect the math to science. I deal with regret for not studying a mathematics based science.
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  2417. Math videos, like yours, are not a church to me. However, they do provide inspiration for me to do the problems that I work on everyday.
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  2418. I agree, paper without lines are better. I often struggled when I did math which had a lot of fractions eg. quotient rule, then I would get lost on the fractions. I bought myself a white board and it made it so much easier. When I wrote my online invigilated exam, I wrote my answers on lineless paper.
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  2419. So well said, my God, I am so happy I found this channel. Sir, what you said is also closely related to the Feynman's technique, which drastically improves one's grades, but what I liked more about this video is how you gave more importance to moral elevation, rather than just focusing on a single wordly aspect, be it math in particular, or any subject in general.You emphasized on the fact that being a good person is the most important, all the things like being good at math and stuff, are secondary. I respect you alot, and I will always include you in my prayers, may God bless you!
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  2420. I’m a high school math teacher (mostly algebra 2 and calculus), but I’ve had rockstar students who can do algebra really well, but logarithms are one of those topics I notice students struggle with too. I usually introduce it as, “if I said 2^x=8, what would you say x is? And they will say 3, and then I’ll say “if I said 2^x=191727.772, what is x? That’s what we use logarithms for lol
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  2421. yep. I have experienced this. I'm teaching myself now, years after college and now that I'm learning at my own pace, I'm able to take my time and do things more rigourously. In school, I was always in survival mode, just trying to get problem sets done without spending more time on the why. I was just trying to learn the how fast enough to keep pace with the syllabus.
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  2422. Math Sorcerer does it again!!! You make learning math and the ease of learning math very, very valuable and very rewarding!!! Thank you for all the great work you've done for us!!! :) :) :) :)
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  2423. I think has to do with something else but much harder to attain but can be achieved through deep thinking. I think it has to do with the now popular term "flow". There is a state of mind in which your mind is just on and things just seem easier to grasp even languages possibly you're perceptions are more sensitive and your imagination is active.
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  2424. Issac Newton in his basement :
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  2425. Okay. I have to say this. This video was absolutely awesome. These are the things no one ever talks about and before finding your channel I was in the dark about a whole lot of mathematics. Thank you very much :)
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  2426. Precalc was diffintively harder for me than Calculus. Calculus is only hard because of the algebra imo. Calculus itself is conceptually very intuitive and easy to grasp and to me the methods it provides to solve problems come as a relief. I did not like math before calculus.
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  2427. Alright, this might sound crazy but we should all petition to open a maths gym (I mean technically, universities count as that) because people like The Math Sorcerer give me faith that we can treat this discipline in a manner that doesn't make us feel like we can't accomplish it. It's just another day at the gym and we need to push hard, WE GOT THIS GUYS!
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  2428. You single handedly inspired me to really try my hand at math, again, as an adult. Thank you. I’m 33 and am stuck at a low level of math…. So I started taking a pre-algebra course to get into Algebra 1 and beyond. I’m in quotes and sales for power distribution equipment now for 8 years. My goal is to get my engineering degree to further my career. I’m great with the product, now I want the electrical power engineer degree to go with it. Any advice? It’s going to be a long journey. To answer your question, I remember being pushed in to AP math, Java programming in senior year of high school and it was a great time 😀. Now any sort of math/arithmetic is purely for sales functions.
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  2429. I was actually taking out my maths homework while listening to this and over the rustling of my bag I just heard "[...] understanding how and why maths works" and this is such a motivation for learning maths, really. It signifies that not only does maths work, but it can always be explained. I don't even know the context of this quote but this is definitely something I'm going to have in the back of my mind during lessons. I even wrote it on a post-it note, how bout that
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  2430. I appreciate the fact that your video is only one minute long, so that the viewer won't lose too much time to get the message and start doing something useful ASAP.
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  2431. Was this all in your first year of university?
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  2432. Thank you! Unfortunately, my high school years were misspent and I didn't give time to any homework. My math teacher unfortunately ruined math for me for a long time. Fast forward to 26, and I've decided to pursue a Applied Math and there are just so many bad habits of thinking to override from my younger years. I just really appreciate hearing these sorts of reinforcing messages.
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  2433. the book smelling has to be one of my favorite parts of these book reviews 10/10
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  2434. The passion of this guy for knowledge is really something
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  2435. This book is truly a thing of beauty. Kreyszig writes like he wants you to really get it...not just realize he gets it!
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  2436. You are truly one of the most important people in my life. I hope one day I can shake your hand and say “thank you “.
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  2437. this video is absolutely GOLD for us beginners I´m 40 years old and I´m starting to study Math. I wish to make a great discovery in Math in the future.
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  2438. Can you please start teaching at my university? The current prof even looks just like you but with 10 hours less sleep
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  2439. "Welcome to `analytic business methods for mathematical entrepreneurship`." "So there are two amazon trucks leaving from the same point to go to the same destination... which arrives first?"
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  2440. The hand gestures in front of the window kills me every time😂😂
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  2441. My favourite number theory book is An Introduction to the Theory of Numbers by G.H. Hardy and E.M. Wright. It is just brilliant. It is really tough to read though. But it goes sooo much in depth that it really pays off.
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  2442.  @TheMathSorcerer  Still watched the whole video, twice~👍
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  2443. Professor Bill Bassichis is the author of Don't Panic, a text for first courses in physics. It is excellent.
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  2444. I'm going to share some of my expierence, coming from special lower education. I am now in my 3rd year mechanical engineering BSc, doing hard maths. So coming from the lowest of the lowest of my education system to higher education, I noticed that IQ isnt a huge bonus when it comes to math. Here is why. I was slower in picking up math. I had to practice a lot to understand the concept, but when I do, I know the subject very very well. I know the why of math, not only the how. Hard work beats IQ, believe me. I am slower picking up concepts, but when I work hard and actually study, I know the subject. Intergrals, partial dev eqs or linear algebra, it doesnt matter. Work hard and practice. For me, I enjoy math a lot. Its like a puzzle for me. I enjoy mind puzzles like chess and maths. So fun when I get a hard eqs correct! I love math
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  2445. I never leave comments, but this was exactly what I needed to hear. I am not competitive at all, but I will try this approach. Great Video.
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  2446. Dude, your hair is awesome!
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  2447. Funny, I emailed you about this topic a while back. Thank you for posting!!!
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  2448. Trying to get back into maths this channel is a gem videos like this make conceptualisation so much easier, also didn’t know maths people can be ripped😳 keep it up
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  2449. One day I was in the local public library and came across a booklet called "Almanac for Computers". It was published from 1977 to 1991. It had polynomial approximations of the positions of the sun, moon, planets, stars, etc. for the year. I checked the booklet out and played around with them and sure enough they worked! Problem was, this was way after 1991. No more booklets. So how did they calculated them? They had a reference to a book on Chebyschev Polynomials. What in the heck were Chebyshev Polynomials? That started an obsession with Approximation Theory, Chebyschev Polynomials, least squares, Lagrange Interpolation, Singular Value Decomposition, and so on. I became obsessed with figuring out how they did it. It took me months, but in the end I succeeded. I learned a heck of a lot of math along the way. Math that I never learned in school and applied it. It was great.
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  2450. Another reminder. Do math Olympiad problems especially word problems. They help you develop better problem solving skills. Don't give up though even if it's difficult.
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  2451. I'm amazed how in the comments we see students from "prestigious" universities claiming these lectures helped them more than their professors... People pay thousands and get in life long debt for a fake and forced education whereas professors like the one from this series of videos are barely recognized. Congratulations Math Sorcerer, your honesty in teaching is what makes you so genuine and successful at what you do! Gabriel
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  2452. My favorite weird math book in my collection is Laws of Form by George Spencer-Brown (the most recent edition includes a claimed proof of the Riemann Hypothesis!)
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  2453. There is a type of math course for majors to show how to do proofs. Often it is taught in college sophomore year after calculus and before abstract algebra. The textbooks for those kinds of classes often have a variety of proof ideas and techniques. Search for proof methods, mathematical logic, and discrete math to get a variety of answers. Look for well-reviewed and highly rated books, then look for used copies of these texts. Most of these ideas are not brand new, so cheaper, older books may be OK for logic and proof methods.
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  2454. Personally I think Calculus is one of the more complicated branches of Mathematics. There has to be a level of knowledge and skill to be able to surpass this.
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  2455. Needed this. Struggling hard through an electrical power system’s basics course now. Had to purchase a separate circuits lectures courses just to get a better baseline. I’m a civil engineer taking a Masters that combines both civil and electrical engineering, for the power utility/energy industry
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  2456. I get a kick out of the fact that you love the aroma of your older math books. I do exactly the same thing! And I'm on my way to getting a copy of "Vector Calculus" by Lindeman. Thanks for pointing me in this direction!
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  2457. Thank you! Love all your content!
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  2458. Was a single one of those a reason to not study math? Lol!
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  2459. In order to answer the question first we must define several terms: 1. What is being smart and how do we quantify it? 2. What is talent and does talent work in every math situation? 3. What does working hard mean? Only after we give definition to the terms above we can begin to answer the question of Mohammed...
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  2460. Do more Math Book reviews! I really enjoy them!
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  2461. "I took too many math classes" --> said (almost) no one, ever.
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  2462. You could also include Concepts of Physics by HC Verma. It builds concept from the base and has a good set of problems to understand a topic. Best book for Beginners who want to learn Physics.
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  2463. "Rise from the ashes like a Phoenix." Very insperational. In the face of failure I bounce back with the attitude of "I learned how not to study, now time to try something else."
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  2464. Rosen is pretty good. Quite verbose, so focus only on important topics
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  2465. I call dibs!
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  2466. We used this book when I took my first abstract algebra class. It's my favorite math book so far. It has a ton of exercises, both theoretical and applications. If you get a chance, read the first paragraph of chapter 27. Very dramatic! Thanks for showing it.
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  2467. Number one: Thank you for another great book review and tying in a small African-American history brief with it; number two: I am so glad that you had the courage to admit that you love the smell of older books, I thought that I was the only one; and finally number three: belated thanks for the information on going for a bachelor degree online from a " real " university. I have to finish the paperwork and securing financial aid, but I will enroll in the University of Illinois, Springfield this year. Thank you.
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  2468. I wish I could adopt your mentality and actually believe it. But all that matters to me are grades. It also doesn't feel good I end my session tired and more confused. If I saw some improvement I might feel differently but I'm one of the people that work hard for minimal gains.
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  2469. I'm grateful for the post. I'm 49, recently became addicted to math, and working slowly through some undergrad courses with a desire to do a masters in applied math and maybe a Ph.D. My grades are stellar now whereas when I did an undergrad in engineering in the 90's they were mediocre. I have no trouble learning math now, even though it is a tough subject. At the same time, I have 2 young kids and I feel like I am in a brain fog much of the time. Ability to learn is multidimensional. Thanks for all the videos. I love your enthusiasm.
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  2470. I have Vol 1, 1968. It was our textbook at Rice in 1970. Knute did one very unusual thing in this presentation. To keep his work as being captive to a specific computer popular at the time, and thus shunned by those favoring a different horse, he created an imaginary computer named by averaging the names of all the types in use, the IBM 360 and 1604 and several others…16 in all. The “MIX 1009” became his hypothetical machine, and we had to write an assembler for it.
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  2471. When are they ever gonna only give answers to the evens?!
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  2472. This is so true. I guess sometimes you have to convince and motivate yourself to do the things you want to. That itself requires some effort and with habitual repetitions, We can develop the skills we want to...
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  2473. It's amazing how you posted this just when I need it the most. I often tend to believe that my problem-solving abilities will never develop and that my silly attempts are to no avail. Fortunately, I am able of ignoring this thoughts until they subside (witch I achieve with the aid of your videos). So thank you! Your videos are very much so appreciated.
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  2474. Your lectures are so valuable.
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  2475. And most importantly, it is so much fun!
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  2476. thank you so so much. Im taking diff. equations and i was so lost in lecture. this was awesome, such an easy explanation and great examples :)
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  2477. This was a much more nuanced take than I’ve seen on similar yt channels. Cheating isn’t as black and white as some people think. I thought this video addressed it well.
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  2478. I am an Electrical Electronics Eng. Senior and all of these were mandatory in my curriculum what the hell :")
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  2479. I'm also a former MechE major and now I'm majoring in math. It's all about proof, proof and PROOFS!!! For other majors, math is about the results and answers, but those are NOT important at all for math majors!! Pure math questions are like: here's the question AND the result, now explain to me why it's correct. The critical parts are the logic behind the proofs, it's more like studying philosophy.
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  2480. You are absolutely right! I only wish I had learnt this forty or fifty years ago!! Fear of the unknown will stop you dead in your tracks. But it must not. Don't allow it. Learn from an old-timer. Do it now!!
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  2481. Today is ramanujan's birthday 🎈🎂
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  2482. hi, i want to ask for a favor can you make a learning plan for mathematics ? for the undergraduate level i am a physics major and i really want to learn math but i am lost i don't know where to begin and where to stop so if you did it it will be very helpful p.s. i LOVE your videos
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  2483. Hi. Somehow I’m subscribed to your channel. I don’t know why cuz I really suck at math. Fascinating to see you solving this very strange equation but I absolutely have no idea what’s going on. Don’t know what this type of equation is for or what purpose it serves. Would be nice to know I guess. Other viewers’ comments are gems, seems like everyone’s a mathematician. A very nice community.
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  2484. I like the saying: "If at first you don't succeed, fail two more times so that your failure is statistically significant." 🙂
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  2485. This is funny and it is one of your best videos ever.
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  2486. This summer I grew weed and after smoking some I began watching videos on microbiology and history of calculus; mathematics in general. I'll be 53 in March. Going to finish off my degree in Mathematics.
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  2487. this video is still out here saving lives
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  2488. Sorry for the off topic, but your library is pretty cool. It makes me want to study!
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  2489. The Book of Proof by Richard Hammack is another good text on proof writing. It is very readable, focuses on proofs relating to sets and other discrete maths ideas, and contains many exercises with solutions.
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  2490. As a successful day trader using many (but not all) of such techniques described in this book, yes what you say is absolutely correct however, when used correctly technical analysis is all that’s needed to be profitable when DAY TRADING. Investing and portfolio management is obviously better when done with mathematical modelling and data. Many try to disprove TA but remember 95% of traders lose money but find one which is profitable and they’ll show you why TA works when used correctly.
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  2491. Please make some physics videos! I am taking physics 1 with calculus now and I feel the same as you did.
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  2492. Super useful... You are so funny. I wish I had that kind of teachers in my university
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  2493. I'm lucky to have an autographed copy, it is the best math book I have.
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  2494. Math Sorcerer, POWER LEVEL:>9000!!!🧠🦵💪🤜
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  2495. Thank you, this is all I ever needed and wanted! I hated maths, got bad fundementals and I’m 23 and starting to learn Maths all the way from the start on my own just because
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  2496. I think grades matter when a good teacher is teaching the course and has reasonable standards. The grade must reflect what is sensible to expect of a student at that level and indicate real learning. In all honesty students can't be expected to take more than 1 or 2 meaningful courses at a time and the other 3-4 courses are filler. It's very unfortunate that the filler courses are graded the same way and the meatier courses. An "A" in abstract algebra means something while an "A" in some useless elective means nothing but a waste of the student's time.
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  2497. I know you prolly hear this often but I love you
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  2498. I swear to god This is one of the best math channels on youtube Gold mine
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  2499. Beautiful story. Thanks for sharing it with us.
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  2500. Also, make sure you're in the right class. Counselors sometimes place you in a particular class because it will fit into your schedule, not because it's the right class for you. I took Calculus I without precalculus first. Although I made it through ok, I am sure I would have done much better had I had precalculus first. When you're thinking about a particular math class, drop by the office of the professor who will be teaching the class and talk to him or her. Tell them you're interested in taking the class, and you want to do well. Ask what he or she expects you to know going in. Ask about what will be expected of you. Most professors are happy to talk with students.
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  2501. The first time I was really motivated to do maths is when I suprisingly ranked 1st place in my class in Year 7. From that point on I REALLY loved maths. And now I'm in a Maths Degree. To be honest, it is really tough, but I still love maths. Difficulty does not deter me, and it shouldn't deter anyone else either.
    29
  2502. Maybe this is how chemistry is taught now at the high school level, but something makes me doubt this. Nothing about the mole until pg. 299 is a little worrisome. I think when I took high school chemistry, we learned about moles in the first month of the year. This book, while it certainly contains some basic chemistry concepts, looks insufficient to me as a professional chemist.
    29
  2503. The problem is that if you backtest, first you typically backtest only a part of the history and so you don't have the full probability distribution, but also often, a specific strategy like the one you did will only work in certain type of market (like this one will certainly give good result in a bull market), but not in other market
    29
  2504. I LOVE YOU MATH SORCERER
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  2505. 0 clue how you only got 31 likes, your videos single handedly saved my marks and im sure its the same for countless others. much love from Australia.
    29
  2506. what? i liked how he held his marker, esp useful as a professor who needs to write on the board while teaching
    29
  2507. This just taught me how to do my calculus homework. Thank you!!!!
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  2508. As one of many people here who were inspired by you (from your huge collections of books to actual knowledge), discovering your channel and actively following it was a huge treasure for me, for it made me use mathematics as an antidote for stress and a long-lasting hobby✌🏻
    29
  2509. Last time i was this fast this was actually my teacher
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  2510. What about 'The Language of Mathematics' by Prof Frank Land (Hull University). It was published back in the 60's. It's a great book for those wanting to get back into mathematics and getting them to appreciate the scope and basis of the subject... he has such a unique take on the subject. It was the book that his high school teacher recommended to Prof Marcus du Sautoy.... and changed his opinion of mathematics (from boredom to excitement). Marcus has some great documentaries on mathematics and his excitement is contagious.
    29
  2511. I think it's possible, but it's not for everyone. The general advice from top programmers I hear is, first understand the entire system and all the libraries you're using at a very fundamental level (when possible and when relevant), the other commonality seems to be an obsession with programming and that they spent a LOT of hours doing it. I wish to learn maths and I wonder if a similar concept of understanding the tools means. Maybe there is some stuff in common? Like for example we have so much visualization tools you could use if you learn a bit of programming to help with math, I feel like writing code to visualize math is a good way to having a very fundamental understanding of something, for example I'm writing an AVR emulator at the moment and I am learning much more about the microcontroller I have used for years in a matter of days compared to years. The there are JavaScript libraries, python libraries, game engines like Godot and I think desmos (if I'm not mistaken) which is a calculator with graphing that you could use to visualize complex ideas. Maths + programming is quite literally a SUPERPOWER. You could do anything you want if you master both. Too bad I still suck at maths lol (slow learner, hopefully that means deep learner otherwise I'm screwed).
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  2512. Good bless you man, you just saved my life
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  2513. This is not thicker than Thomas' calculus
    29
  2514. Math Sorcerer: u can get these books for a few dollars here r the links. Amazon: y'all have sucked us dry and these textbooks are now $300.
    29
  2515. Please continue to make more these type of videos sir. They are really motivating. 🙏
    29
  2516. I bought this book as a student 25 years ago. I'm still reading parts of it from time to time, as a non professional. I love it.
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  2517. Nice video professor
    29
  2518. missed opportunity to say thicccc calculus textbook
    29
  2519. This class was the hardest for me, since I still wasn't comfortable with abstraction. I came back to it (by self-study) after getting used to abstraction, and it was much, much easier.
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  2520. I’m 21 and in about 10th grade I really grew to love mathematics. I would spend hours in my room studying and just looking at mathematical videos on number phile. I eventually got into RIT a tech school in New York where I was studying electrical engineering. But I didn’t do so well and ended up at community college. I’ve been here for the last three years and I’ve developed my love of maths again. I’m currently looking to transfer to a 4 year university and major in computer science and hopefully do some maths research along the way.
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  2521. Fermat's Last Theorem By Simon Singh, is a pleasure to read. Your don't need to be into mathematics to understand the mathematical issues to be solved. It also gives you this great history of where some mathematical problems come, how they evolved and when there were solved. For Spanish speakers out there, the book "Algebra" by Baldor is an amazing book.
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  2522. Nice to see how Discrete Random Variables can be used in trading! Thanks Math Sorcerer...
    29
  2523. "Logic and Philosophy" by Howard Kahane is still in print. I used the 4th edition; it is now in its 13th.
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  2524. Couple of Thoughts: I never understood induction for a long time. I memorized it for proofs on tests, but really didn't know what I was doing. One day a thought came to me of a bunch of elementary school kids waiting in a line for the drinking fountain and one of the kids shoves the kid in front of him, that kid hits the next kid and so on... The "light" came on! Second thought. I keep trying to guess the titles of your books behind you. How about going in close so we can see what books you've got?
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  2525. Your mistake is trivial and left to the student as an exercise.
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  2526. Great advice as always! Just spent 2 hrs at B&N learning about principles of counting and probability problems. And I loved it. Will do that again tomorrow too!
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  2527. sometimes you have to think outside the box to earn money. Maybe he could get into math competitions to earn money if there are any competitions that award money for prizes. Math tutoring is a good idea.
    29
  2528. The Real Analysis will certainly help out a lot of people. Thank you for your consistency.
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  2529. What Id LOVE to see, is you doing a video where you work through this whole paper how youd expect a student to (to get full marks), it would be a great thing to watch and great to learn some new things
    29
  2530. This is a great video. I hope you continue to do these. Thank you for sharing your great knowledge and encouraging us not to give up.
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  2531. Engineers seeing this in class and thinking they'll never see it again are in for a real treat!
    29
  2532. 0:01 but batman will
    29
  2533. From linear equation to integral🙊 wow super course! Haha i loved this video it made my day😊good boys💜
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  2534. I love Schaum's Outlines! Thank you very much!
    29
  2535. Galois theory is just pure beauty. Words can't describe how brilliant Galois was, and he developed this tool before his age of 20 wow
    29
  2536. Beginner: "Introduction to Topology" by Mendelson (Dover). Intermediate: "General Topology" by Munkres. Advanced: "General Topology" by Willard (Dover). Practice: "Schaum's Outline of General Topology" by Lipschutz, and "Counterexamples in Topology" by Steen & Seebach (Dover). Algebraic topology is a different animal but: Beginner: "Combinatorial Topology" by Henle. Intermediate: "Algebraic Topology" by Hatcher. Advanced: "A Concise Course in Algebraic Topology" and "More Concise Algebraic Topology", both by May.
    29
  2537. A perfect example of why we DON'T need to update our books every 5 years
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  2538. Wizard, College Algebra this past summer was a condensed class and I forgot it was so it came at me full force. I studied hard as I could and was on the borderline of passing I did good on the final but I think what helped me was talking to my professor and explaining how hard I was working. I didn’t stop. I studied 4-6 hours every night. I passed but I honestly think the professor was understanding my plight. I don’t make excuses for myself but I’ve been out of school 20yrs ya know. The moral of the story is don’t for a second think professors aren’t noticing your hard work and hard work gets rewarded.
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  2539. I had a dynamical systems class that the professor said the test was open everything because he doesn't care how you find the answer. He emphasized understanding in his lectures enough that nobody ever had to use google for anything significant. Although I did use wolfram alpha to calculate an integral during an exam lol.
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  2540. This guy is my hero, I hope he won't continue to view himself of a loser, he's kicking himself into gear and putting in the work, and he deserves the credit for that. I love hearing from people who got into math late or from other fields, or from a weak at first background, and built themselves up. Stuff like that gives me drive when I feel down about where I'm at for my age (28). Please keep going! Don't let one crap prof. get you down, do your best and get the points you can get out of him, and move on.
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  2541. I feel like an extensive modern version of this book would be at least twice its size.
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  2542. That's an interesting question because there are clear advantages to having capital or being rich when attempting to study math (tutors, paid-resources, technologies, access). But it doesn't necessarily mean that success is guaranteed if it is an overreliance that capital will lead to success since work ethic and creativity will always shine higher in the field of mathematics than purchasing aid externally. Additionally, being rich or having wealth could allow for resources at an earlier age but it could become a fine line of taking things for granted and having too high of an expectation compared to not having wealth and thinking outside the box to solve problems with less resources or opportunity. Also, Srinivasa Ramanujan is unfair example - I think the question was more targeted to modern times comparing a Genius as an example is not realistic to modern times.
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  2543. This got me thinking of a question i've had for a while. Maths, and to a lesser extent other STEM subjects, very much builds on itself. To understand one topic you need a firm grasp of the topics that went before it, if you don't then you will struggle. In comparison, in a subject like UK History an understanding of, say, the Tudors may help you understand the Stewarts and the English Civil War but it's by no meansnecessary. I suspect that this might account for why many people seem to report that they understood maths classes up to a point and then really struggled. The point where the struggle started was where they misunderstood something or missed something so their Jenga Tower of Mathematical understanding is missing a block or two. For me, that was where I changed schools in the middle of a school year (my old school went bankrupt) and my new school seems to have done topics in a different order so I'm sure I missed some, but don't know what. I was wondering if there is anywhere a 'Map of Mathematics' that would help a student, especially one self studying, get a handle on their study by telling them "To understand this area you need to be familiar with these topics as it builds on them". I suspect that Maths educators probably carry something like this in their heads, possibly without really knowing they do.
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  2544. May be their GPA system is different from others. Like in our country, we never had GPA in high school.
    28
  2545. It was Serge Lang who coined the word "Diophantine Geometry", explicitly making it a branch in modern mathematics. Mordell wrote a review on his 1962 book Diophantine Geometry, heavily criticising the book for being too difficult to read (even for such a prominent mathematician L. J. Mordell!). But Lang responded with no mercy: I write my books as it should be, and nothing else. Both Mordell's review and Lang's response can be found in Lang's Fundamentals of Diophantine Geometry (1983).
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  2546. Professor is working out. Keep it up like this boss and I'll call you Professor Shifu Math Sorcerer!
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  2547. Second row please:). Very enjoyable
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  2548. Dear Sir, I have been watching your DE playlist and lectures for the past 3 days straight........and it really got me prepared for my semester Final exams...........Really love your enthusiasm💖💖Wished I had a Calculus teacher like you.........I hope that you will expand this work online too......really want your videos on other chapters and exercise too.....May God bless you. Love from Pakistan>_<
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  2549. Hey, Math Sorcerer, have you ever heard of/considered doing a video on the Mathematics for Self-Study books by J.E. Thompson? Record has it that they're what Richard Feynman used to learn math and they were part of the reason for his nearly perfect math grades.
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  2550. This channel is an absolute gem. I am interested in learning how to write proofs in order to better self-study and there were several books in this video that I am sure will be useful. Thanks Math Sorcerer!
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  2551. Another one is, "Over confedance will kill you". I saw an interview once with a Caltech professor. One of the problems that Caltech faces, is that their student body is really, really smart. They are used to being the very best at their high schools, always being the top students. Always getting that perfect score. Well, everybody is like that in the Freshman class. So, when they're handed their first C or D, or maybe even an F, it comes as an extreme shock. Some don't or can't recover. They have never received a low grade in their life. For the first time in their lives they have to really work at something. I believe strongly that a student has to be "matched" with the college or university they attend. I was matched to Cal State and I got in and on just fine. Had I gone to Caltech or MIT, I probably would have got my head handed to me on a platter. That is is not to say now that I've already been through the system I can't appriciate and understand their books, papers and lectures, etc. I do. But back when I was 18.....
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  2552. There's breath and there's death.
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  2553. I think its an illusion. I studied in Poland, and usually in secondary school and at university there were around 2 ppl out of 30, and at university maybe 10 out of 180 who were genuine thinkers. Those ppl usually came from intelligent homes, had extra lessons early in life, usually tutored by someone from the family, sent to special classes, taking part in competitions called "olympics". And only those ppl would make it to the US and any other foreign country as part of their "career". And looking then at their life stories... well... except for very few cases they do regular jobs. People CLAIM they do calculus (since when it so hard, prooving cocepts is hard) but they hardly undustand it. Math to some degree can be taught like a mind puzzle. And that gives illusion of a higher level. Skilled repetition does not make one a real mathematician, but might be needed.
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  2554. I've heard a guy who failed an exam 16 times. He could not let it go. He passed the exam in 17th attempt. It was probably a Nirvana moment for him. Another guy who does not have a good GPA for med school, is taking so many graduate classes for like 6 years until he recovers a better GPA.
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  2555. It's also referred to as 'accepting things on their own terms', which is closely related to 'trusting the process'... Your videos on mindset are far more important than any other you've created. I found that in learning math, following the process and using good bookkeeping will eventually lead to understanding after much practice - especially when coupled with learning other maths. It takes time and you have to 'move the pencil'.
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  2556. This probably falls under the algebra bit, but learn what graphs of different functions look like and how to sketch them and 3D surfaces before hand, will make life much easier. That was the most challenging part for me, the computation wasn't hard if your algebra is solid.
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  2557. This is completely unrelated to video but in keeping with the advice videos you make, would you make one on how to find and fix gaps in your understanding of subjects in math? Speaking as a non-math major who's generally inexperienced with how to approach math in an independant and unguided setting, I find it difficult to know when my grasp of a topic is sufficient for me to move on to a more advanced topic. Any tips or insights would be greatly appreciated.
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  2558. When people think you're some kind of human calculator. My God, I sometimes confuse epsilons with number 3's !
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  2559. Coke is bad coke is bad coke is bad
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  2560. Look at all those books. Do you have books with a cd in them. That's cool.. btw am watching your calc3 lessons
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  2561. This Angel of Mathematics with the golden mane and eyes of flame has captured my attention and loyalty, I will learn the maths from this great master. Adding philosophical musings to this already powerful persona is incredible. The ineffable math sorcerer.
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  2562. I only remember two times in my life when I was in awe by a mathematical result. The first time was in high school when the teacher used integration to calculate the area beneath a function. I couldn't believe that was even possible, and the fact that the result was often a whole number or a fraction for particular cases, or that it could be expressed by a relatively-simple formula for the general case amazed me. The second time was when I encountered the theorem of complex analysis that says if a complex function f has an essential singularity at the point a, then every neighbourhood of a contains every complex number (with the exception of one, if I remember correctly) infinitely many times. That's like infinity times infinity in an infinitely small space. Hard to wrap your head around it, but that's maths.
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  2563. Absolutely agree, 1 hour a day for maths, or even 30mins a day, or solve 5 exercise problems a day. Great sharing!
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  2564. I am dual degreeing in computer science and mathematics. I am also a freshman, but I got an REU position during my spring semester that'll last until at least the end of next fall (this was an REU for computer science and not mathematics though). I almost psyched myself out of it, thinking I wasn't good enough or didn't have enough experience, but I think that is something a lot of people feel no matter what year they are in under-grad. I applied in the off-chance I got the position and I did! Been having a lot of fun with it too! Don't psyche yourself out, look for any REU related to math you think are interesting, get some good letters of rec (if you haven't gotten to know any of your professors well yet you really should so they can write even better letters!), write a good cover letter about why you want to go to that REU, and from there the letters of rec will be applicable for any similar REU (with maybe minor changes that I think most professors wouldn't mind making a few times for different REU positions. Remember that professors are there to see you succeed, they don't want to see you fail) and same goes for the cover letter. Once you apply to one you can really apply to as many as you want, so go for it!
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  2565. A Sorcerer afterall!
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  2566. 2:56 "The purpose should be you!", The truest words I've ever heard in my life. The moment I started focusing on what I wanted myself to be instead of what I wanted to do or what I wanted to own, my whole life shifted to the better.
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  2567. Here’s a fourth tip: DON’T DO HOW WITH YOUR PHONE OUT! It’s sooooooooooooooo distracting.
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  2568. In my 78 years of experience, my instinct has saved my life and others more times. As an engineer points of failures was always based on intellectual decisions. Even when I have had analysis and data in front of me, instinct caused me to take contrary action that saved the company’s bacon. As an old welder told be before welding a complex joint. Think a bit, chew a little, think some more, chew a little, spit, then weld like a m..f…er.
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  2569. (1) : Linear algebra by serge lang (2) : calculus made easy by sp thomson (3):Abstract algebra I've read calculus made easy by sp thomson.
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  2570. A great book. Very well written. Lucid as a fine math book. Bjarne is a genius we all can benefit from. Edit: MathSourcerer, Ill be waiting for your reviews of any of the two books of Alex. Stepanov. I think you will love them. They're very math oriented C++ books, as Stepanov was a math grad before becoming a C++ guru.
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  2571. Calculus 1 for me. It took me a lot of time ( too much maybe) to understand it. The other two where more "natural" after getting the "basic" ideas
    28
  2572. REAL MEN PROGRAM IN "C"!!
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  2573. You want to know about a real tragedy? The latest editions on this book no longer have a dragon on the cover! The publishers, apparently unaware that this book is universally known as "the dragon book" decided to remove it. Sad. By the way, I mentioned this book in the comments to one of your recent videos about Automata Theory. It's an important book to me personally because when I was in my younger teens I really wanted to know about how programming languagaes worked. I especially wanted to know how to evaluate mathematical expressions. But this was before the web, before ordinary people had internet access (it was at universities) and my local library didn't have anything helpful. Book stores could order books in, but I'd have to know what books existed, right? Anyway, when I was around 17 I met a guy I know who was a bit older, had finished universitry and had a copy of this book that he lent me. And it blew my mind that everything I wanted to know was just written down in a book that anyone could buy and learn from. I went on to study computer science and artificial intelligence at university, where the knowlege from this book gave me a head start. I've used these 'compiler' skills in several jobs in my career since. And by the way, since I got more interested in math (now in my late 40s), it similarly blows my mind how much knowlege there is just written down in math books for anyone to pick up and study. That's why I love this channel so much - I've bought many books on recommendation and am making my way through them bit by bit each day.
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  2574. Note-taking is an interesting and valuable focus. Having friends in class to COMPARE notes with can be a whole other level of awesomeness, especially if you can turn it into a fun conversation after every class. That's what made college feel like paradise to me, and I miss it enough to cry! Lol 😅
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  2575. Mathematics naturally has a ton of trial and error. You can definitely learn from your failures, the problem is failing during a test. If you're studying math for fun, failing isn't nearly as punishing given that nothing is on the line.
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  2576. Lesson here - do not compare yourself to others for there will always be greater and lesser beings Liked the video as well thank you sir, thought provoking.
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  2577. I’m an ultrarunner, yogi, and weightlifter myself so I totally get this. When I do hard things to my body, I can do hard things to my mind. I just did a grueling hike with my husband and I’m ready to work on my discrete maths and differential equations 💪
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  2578. This is similar to what Maryam Mirzakhani, fields medalist, said: “The beauty of mathematics only shows itself to more patient followers.” https://theconversation.com/maryam-mirzakhani-was-a-role-model-for-more-than-just-her-mathematics-81143
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  2579. My prove: assuming √p is rational. Then let √p＝s/t where s and t are both integers and have no common factor except 1. Then we have s^2＝p·t^2. This means s^2 can be divided by p. Then s can be divided by p because p is a prime number. Let s＝pu where u is another integer. Then p^2·u^2＝p·t^2. Then t^2＝p·u^2. Again we conclude that t can also be divided by p. This is contradict to the assumption. So √p must be an irrational number.
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  2580. To be fair I think its the same reason we can't explain so basic algebra concepts to students. What we might be able to see as understandable is beyond grasp. Also there's like 5 different learning styles or something, visual, kinaesthetic, and some other stuff. That being said. There's no one universal model for learning which is why open resource learning will be the key to the future of learning and education, and should have been from the start of the internet. Now we get 250$ required textbooxs that explain bollox while the real heroes are going unpaid but because they love maths and love teaching like Math Sorc. Just throwing out an idea, but I humbly agree Bulldog, the model makes me mad, so I rather get mad at not being able to do maths! :-P I swear though, that earlier texts like Dover, and papa, are great because the authors actually had the enthusiast in mind, not the 'student' which I think is a big difference. Since my local bookstore is gone I no longer have access to those texts for pennies on cent's. I'm incredibly grateful to have a mathematic resource like Math Sorc, when a majority of maths majors are there to make big checks in finance/insurance/buisness. My dude likes pizza though, and that's all that seemingly matters. And hopefully some cool surfboards XD
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  2581. Ah yes, a solution to my academic misery
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  2582. If you had told me this in grade 5-8, I would not have had so frustrating years, especially in mathemathics.
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  2583. Youre my hero needed to hear this today, been stressing out for my probability exam that's tomorrow
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  2584. I cannot reiterate enough what you said, you really do have to practice-practice-practice everyday or almost everyday, but it gets better and is worth the effort. As someone who spends 3-6 hours a day doing physics material from homework to studying, re-doing the same problem I just couldn't quiet get until I got it and using up my professor's office hours after nearly every class (bless my professor for being so kind and patient) it truly is better to do it, like coding or muscle memory. Solving the complex problems with critical thinking takes time to develop the skills and comfortably with them. Always remember the laws are your guide for the math to follow, diagrams and assumptions are important to draw out and list. If you make a mistake it's easier to see where your train of thought was leading you and where it went wrong. If you can get to a final expression based on the laws then it can be said you understand the physics. The diagrams you create will help you understand the laws at play and what to apply, what forces are where, which direction things work in and they're a great visual aid in problem solving. If you don't know where to begin it's okay to find similar problems or crack open a book/pdf, but start with setting up your diagram. (I originally wanted to be an artist but my family didn't come here for that apparently lol this is my 3rd degree in physical sciences (Atmospheric Physics for this one) and the diagrams are my way of letting that inner child's dream live on). BOOKS are very helpful, but they're meaningless if you do not apply them, other than the recommended Giancoli book, there is also University Physics With Modern Physics by Young and Freedman, which covers everything from the mechanics, heat, sound course, to Electricity and Magnetism, Light and Optics, and Nuclear, Particle and intro Quantum mechanics. A free series that is well loved by every professor I have had since it is easier on students wallets is the OpenStax University Physics Volumes 1-3, they are free online for anyone and cover the same material. Cannot stress the importance of math enough, algebra, trigonometry, Calculus (especially integrals, differentials, trigonometric substitution), and everything you can learn with vectors. Its a gradual process and no one is born knowing these things, but with practice and dedication it gets better with time. Just never give up! If it's a hard problem to solve then it's a good problem, don't be afraid to ask for help or step away to clear your mind. Usually tests are the most important factor for your grade, just try to improve on them each time little by little and focus your study and time for what is weighed the most (i.e. tests) every professor has different formats and expectations so recognizing them as early as you can will benefit you. If you want to learn and are interested in learning then you should come to find most teachers won't stop you from trying to do so, just keep at it. P.S. Partial credit cannot be given if you don't try, and teachers/aids will be more patient and willing to help if you've at least tried yourself first.
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  2585. But dude, this world is ruthless. If you can't understand math quickly, you just fail college... Like the situation I'm in Why am I that Asian who's horrible with math DX
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  2586. an important aspect of life imo is always retaining the childlike wonder that existed and still exists within all of us. that wonder and desire for knowing is ultimately the prime driver in ones success when learning new things.
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  2587. I remember being 20 years old and studying this book by candle light since a storm knocked out the power. Exciting times!
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  2588. When I say I love reading, people always misunderstand me for reading literature, lol, but I actually love reading math books. P.S: I'm tense, they barely started online classes 3 weeks ago and now BAM, they give half the book in the test we're gonna have 3 days later.
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  2589. Thank you for motivating us to learn steadily. May God bless you.
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  2590. ETA to finish all books: 50 years
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  2591. I try to imagine it not understand it. As an engineer i see a decade after my degrees that there are things i thought I understood. Things i definitely understood. Things i understood better than others with others thinking im dumb for not understanding something trivial which they didnt get in the first place. Shift focus is true. I get glimpses or strokes of clarity when i go to sleep or shower on things i did 10 years ago knowing that i never understood just did.
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  2592. Do more videos with good old pencil/pen and paper. Really enjoy these.
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  2593. I am currently going on 21 years old and in a similar situation, not having started my academic journey and sometimes worrying that I am missing my window of opportunity. What has prevented me entering college thus far is the fact that I do not feel ready to take that on psychologically just yet, I want to have a better grip on myself before starting the rest of my life. I find solace in my times of doubt in the fact that when I do begin school once more, I will be ready, and I will not have rushed into things and cut corners just to proceed through my education with haste. I know that when my time comes, I will be ready and, as such, I will be happy. Thank you, Professor, for reassuring all of us who may have doubts in our early lives. It is easy, when we are young, to believe that we are running out of time, and it is such a freeing experience to discover all of the time we have left to live and to learn.
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  2594. This is the true definition of post-postmodernism.
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  2595. This was such a perfect timing. I just went to my subscription page and your video was what i saw. Honestly, I was going to watch some other video because I was procrastinating on my work and this video helped me gain motivation to do my work. Thank you so much
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  2596. A huge boon to my studying was to make sure to eat regular meals, preferably around the times I study most intensely through the day. Now, everyone’s needs around food are unique to them, but definitely make sure to keep your food intake up. On that same note, make sure to drink plenty of water throughout the day. One of the symptoms of dehydration is an inability to focus and getting frustrated more easily. Sometimes when you’re really struggling with the material, all you need is a drink of water and a short break. Finally, make sure to plan for your work to end at some point. No one wants to be working all day, doesn’t matter what it is you’re doing. Even picasso only worked 12 hours a day, that’s 8 to sleep and 4 to’ play with. Give yourself time to sit and think about something other than your work. This is also kinda related to physiology, the brain is apparently capable of two modes of focus: spotlight focus and diffuse focus. When you’re concentrating on something intensely, you’re using your short term memory to its full capacity; this is spotlight thinking. When you’re relaxing, your short term memory is useful for other things and you have some time to put your experiences in your long term memory. Short term memory is rather limited, apparently most people can reliably hold only up to four different concepts in their short term memory. Say, four different words at a given time. Long term memory is obviously more robust than short term memory and diffuse thinking leverages the increased capacity of long term memory to your advantage; that’s probably why we evolved this ability! If you’re interested in knowing more, I learned these tips about learning on Coursera, look for “learning how to learn” by Barbara Oakley. It’s completely free, so this isn’t an ad! It genuinely helped me, although some of the advice was hard to take at the start. You’ll see what I mean 😅😂. Good luck to all those who read this. I’m certainly not perfect, we’re all learning how to learn and getting better at this with time. Don’t give up, just get more creative and don’t be afraid to look for help!
    28
  2597. Grades are sort of double edged. I have classes where I've gotten a+ but barely remember a thing years later while ones that I stuggled and got a lower grade stays with me for longer.
    28
  2598. Namaste Sensei. Very profound words, yet in the simplest form . Truly a mark of the master.
    28
  2599. I relate to him ,I had the same feeling when I started college at 23 , and in my first year the pandemic came. Long story short ,I ended up falling 1 year behind due to financial and mental health issues and now I've been feeling even worse because I'm almost 26 and most my classmates are 17-20 year olds. I'm an engineering student btw. The pandemic has worsened the mental health of many people.
    28
  2600. We appreciate your content. We will support you no matter what.
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  2601. Another advice I would give is don't be discouraged if something is unfair or other people know more than you or something. Sulking will only make things worse. I spent all of middle school understanding everything extremely easily and getting a 100 on every test and then all of a sudden I go to 8th grade and change schools and I try to join the math team because I had never had issues with math in my life. I thought I was very good at math. All of a sudden I don't understand anything and there were a lot of people with a lot more knowledge than I. Fortunately, I did not let that bring me down but it is something to keep in mind.
    28
  2602. My best advice when in class: (1) Write down any questions you think of in response to the lecture/lesson. (2) Ask the questions out loud if and when you can. (3) Have a designated conversation partner as a classmate you can talk with about the day's lecture, ideally right after class or as soon as possible. Paying attention and studying will no longer feel effortful. They'll feel natural and fun. Also, (4) try to come to class as well-prepared as possible, so as to follow along as best as possible.
    28
  2603. i feel like practice and tenacity are required for very tricky math problems. if you want to get good at it, you gotta stick through it
    28
  2604. Wizard, I found a jewel just yesterday James Stewart’s BioCalculus. It’s incredible if your into Biology and Stats
    28
  2605. It is at the 10th edition, used for decades in grad engineering schools, globally.
    28
  2606. I'm very grateful for watching this video. You have cleared out the confusion in my mind. I was surprised my answers to your examples were all correct. I owe you millions of thanks. Thank you so much.
    28
  2607. That’s what she said
    28
  2608. Man I'm actually a god at math, I get killing sprees on my homework all the time, but when I try the last problems, I ALWAYS get ganked.
    27
  2609. Hope 30 years old isn’t too late to start from the very bottom in math. I missed out as a kid.
    27
  2610. When a tremendous amount of knowledge, that you have to acquire, doesn't depress you, but inspire you, that is a good indicator, that the choice is right. The more you learn the subject, the bigger inspiration to learn becomes. This is the rule that I defined for myself to choose a right way.
    27
  2611. Math Sorcerer goin' HAM!
    27
  2612. I collect math books as well. I find it helpful in my professional career as a software engineer, and I enjoy reading through the books and working through the exercises. Each book is like its own set of puzzles that are rewarding as I struggle through the problems and marvel at the solutions. The collection brings me a sense of happiness and accomplishment.
    27
  2613. I think the reason why i choose math is because of u, ur passion towards math really affect me a lot
    27
  2614. I'm going to need all the help I can get with Calc 2 coming up.
    27
  2615. I treat maths studies like my workouts: never go more then 2 days without working out or doing some maths
    27
  2616. This is very relatable. Right now I'm taking a course on Differential Geometry and even though I took Calc. 3 (at least on the 'theory of curves' part of the course) with a really good teacher, I found myself understanding about 40% of my classes. After the class I just spend about 5-8 hours studying each day and still, it is a struggle. But never giving up is the best advice I could give to someone. Very cliché but very true indeed.
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  2617. All math is set theory So set theory
    27
  2618. I just wanted to take a moment to express my gratitude for all of the inspiration and motivation you have provided me. As a PhD student in computational biology, in Mexico, I have always been interested in math, but your videos have truly pushed me to dive deeper into the subject and learn more. Your enthusiasm and passion for math are contagious, and I have found myself staying up late just to watch one more of your videos. Your ability to make math fun and accessible has been a game-changer for me, and I am so grateful for all that you do. Thank you for being such a positive influence in my life and for helping me to become a more confident and capable math learner.
    27
  2619. Here's a simple thought that motivates me whenever I feel like giving up. There are two kinds of Pain in Life: 1. The Pain of discipline & Perseverance 2. The Pain of Regret There's no any other way. Either way you will encounter pain. So why not make it useful & enjoy the rewards later? I usually spring back up with brand new energy & vigor.
    27
  2620. A lot of learning packed in to this video! Bijection, cardinality and aleph naught. Love it!
    27
  2621. In case anyone is interested, the abbreviation V/O on the back of the jacket stands for the the Soviet "External-trade Association"(Внешнеторговое объединение/ Vneshnetorgovoe ob"edinenie) whose name was "International Book" (Международная книга/ Mezhdunarodnaya kniga).
    27
  2622. I don't have much advice as I am only an 18 year old in pursuit of my bachelors in math, however, I think it is very admirable to start at that age. Math is something that is hard for everyone, but once you conquer a particular topic it feels so rewarding. I am in differential equations right now and it is tough, but after all the studying and getting a 90% on my first midterm I couldn't have been happier about a grade haha. Good luck on your journey, you can do it! Some people may judge you, but there are people like me who find inspiration from people like you who are determined to follow their passion no matter the situation. You got this!
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  2623. Yo, that book cover better settle the f*** down!
    27
  2624. Tips for a genius mind: 1.Become obsessed with what your field is and never get satisfied 2. Embrace being different, but still have limitations with this strangeness. 3. A genius is never a master of one, neither the master of non. He is the Jack of all traits, because genius is a property, it can be used everywhere...
    27
  2625. I get so excited when I see geeks and nerds on the internet! It’s a consolation and a reminder that I’m not alone and I’m not a weirdo. 🤓
    27
  2626. Don't try. Just do. A simple lesson I learn through my engineering studies. First year destroy me, as I couldn't cope with the sudden studies load along with my crippling mental health and addictions. But I had always love engineering, I can't imagine doing anything else with my life without it. It feels like engineering has choose me. It want to consume my life and kill me. And I allow it. I just simply stop trying and just do. The failure, struggle and suffering becomes tools and mere indicator for adaptations and furthering my skills. Like Sisyphus, the struggle and suffering of engineering itself is enough to fill my heart.
    27
  2627. There are so many awesome math books on the Internet Archive. Some you can borrow for an hour and some you can read freely. I believe it's a conglomerate of libraries, just amazing.
    27
  2628. When you get no marks for a question on an online test because you make a tiny syntactical error that the computer doesn't like!
    27
  2629. Hopefully this helps😄
    27
  2630. Don’t have anytime to waste. My time is taken up with tasks coming from everywhere.
    27
  2631. The subject is sometimes taught within an undergraduate "applied mathematics for engineers" course. The subject appears in a 2-year college engineering technology curriculum.
    27
  2632. You're a great online teacher, anyone following your Udemy course will definitely get tremendous value from it. If you ever decide on creating a pure math "graduate level" course (like measure theory or functional analysis), then I will buy it in a heart beat :)
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  2633. Bro all the weightlifting analogies were very much appreciated. I started lifting a couple years ago and it turned my life around so much in terms of skills, responsibilities and friends that I'm now going back to school; right now at community college for an associates in chem but im going to take all the math I can and that will help me choose a B.S. when it comes time to transfer
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  2634. During my undergrad there was a professor who would have their PhD student help out with the course for various things ( extra office hours, grading etc ). That PhD student was in their mid 60s with grandchildren. Although that is only one example I hope that helps with adding some perspective.
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  2635. Honestly, I think DE was a lot harder. Maybe it's because my DE professor was extremely demanding. But I also think the subject is hearder because the operational part of the subject is a lot more dense and demonstrating the theorems and solving equations with Laplace transforms, sometimes gets hard. I don't know if it's just me.
    27
  2636. How to Prove It was the textbook for my first year undergrad course. Love this book. The chapter on infinite sets had me captivated.
    27
  2637. THANK YOU! This example looks almost just like a problem I'm doing for my homework so the lesson is super easy to apply!
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  2638. On the point of notes, i must admit I don't generally take notes in lectures. I always have (digital) scratch paper with me to work out ideas, but I find that I can't really manage my attention between note taking and the content of the lecture, and I've found experimentally that it's better for me to not be taking notes during the lecture or class. If I focus too much on the notes I'll miss too much of the material. What do I do instead? Well I take notes later, first from memory, and then with reference to provided materials. This can be pretty difficult, but it's a great way to reinforce what we covered each day.
    27
  2639. Today's books definitely aren't as beautiful, unfortunately.
    27
  2640. ​I am just kidding don't mind please 😅​ @TheMathSorcerer 
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  2641. Haha, that's so funny when i tell people i m in calc 3, they think i am a genius, even more fun people are afraid of algebra and let's not talk about precalculus, but it makes me feel good to be perceived as smart so i'll take it
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  2642. Bro, honest opinion here. I think you are being FAR too modest. The weakest students in my class were often those who didn't have any insight into the nature of their problems and tended to overestimate themselves and the correctness of their "proofs". We did a survey in our university and it turned out that most students could only solve up to 20% of the proof exercises by themselves after we took away their books, Internet connection and possibility to ask a colleague and only left them alone with the script from the lecture....
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  2643. I have had my TI-89 since 2000. It has been dropped by a 2 year old and used as a chew toy or telephone many times. Still going strong.
    27
  2644. It depends on what kind of finance, for quantitative finance, the candidate must be an expert in probability and differential equations
    27
  2645. Let's do uh-nother one!!! 4:38
    27
  2646. We appreciate your hard work and effort. God bless you.
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  2647. My favorite math class was titled Foundations of Higher Mathematics and the professor used "The Book of Proof" as the course textbook. It's a great book that I will always remember because it helped me get through all of the proofs I had to do as an undergrad in Computer Science. Thank you for sharing these books and the rest of your videos!
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  2648. Having failed calculus II twice over forty years ago, I returned to college and earned a mathematics degree in 2020. Along the way, I tutored college mathematics and physics for five semesters. However, before returning to college, there were three lessons that I had to absorb: (1) never walk into a course with the expectation of learning anything; the trick is to know the material before one hits the door. In other words, one is merely there to be graded on what one knows. As Leo Szilard said, “If you want to succeed in the world, you don't have to be much cleverer than other people; you just have to be one day earlier.” (2) do not overload oneself with courses. For my third—and last—attempt at calculus II, although it was not necessary, it was the only course I took, living a breathing the subject for the entire semester. And (3) focus on composing derivations. Many believe learning formulas is the key, but they are wrong. Learning to derive the formulas, learning the patterns in various states is the key. Reading “Chess Chunking and Skills,” Chapter X: Levels of Description, and Computer Systems, Gödel, Escher, Bach: an Eternal Golden Braid (GEB) by Douglas R. Hofstadter, will convince you. For example, chess grandmasters win by internalizing thousands of board patterns, not by “seeing” many moves ahead. Indeed, in the book, “Outliers,” by Malcolm Gladwell, the author asserts that it takes 10,000 hours (or approximately 10 years) to become an expert. Over that course of time, our would-be expert is internalizing patterns and how to properly respond to them. In many cases, knowing the patterns and how they relate, understanding the architecture, provide inferences on how to respond to novel situations. Having worked as a system software developer for nearly thirty years, having had to reverse engineer operating system changes, I know this to be true. With that in mind, let’s return to the derivation of the quadratic formula and its relevance. For instance, when working with Calculus II students that are struggling, I will often asked them the derivatives of the trigonometric functions, logarithm, and exponential functions as well. If they hesitate or stumble, I will assign them the task of deriving each one, using the limit definition of the derivative. But the first task I assign is deriving the quadratic formula from the general form of the quadratic equation. And I am generally shocked that so few of my tutees, at that level, even knew it could be done. Of course, I give them other assignments like deriving all the trigonometric formulas, squeeze theorem, integration by parts formula, trigonometric reduction formulas, trigonometric arcus formulas, polar formulas, etc. Once my tutees have researched and struggled to compose these derivation for the first time, I tell them, as practice, to compose these derivation from memory until the can do it from a dead sleep and then keep doing it. Doing this solves to objectives: (1) one never forgets a formula and if one does they can always derive it; and (2) because one is always doing integrations from various stages, knowing formulas, unlike previous math courses, is not good enough, offering one reason why the failure rate is so high for the course. Yes, mathematics, like many other disciplines, is all about pattern recognition and one’s ability to compose derivation of formulas from memory is the key. Finally, composing derivations is also the steppingstone for writing proofs, an essential skill for higher level mathematics.
    27
  2649. I knew it was baby rudin. By the way, could you do some videos explaining some parts of the book? Such as basic topology, continuity. Thanks for these great videos!
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  2650. I've been watching your videos since i'm in grade 12. Now i'm in 3rd year college taking civil engineering, your videos really helps me to have ideas on what i should study when it comes to math. Thank you so much!
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  2651. I first learned to program using "Illustrating BASIC" by Donald Alcock, which I still have. I think I was about 13 or 14 years old back in 1978/79 and I completely devoured it. I learned all of the fundamentals of variables, loops, conditions, boolean logic etc from that amazing book. My copy of K&R is the second edition (1988) that I bought in 1991. I still use it as a reference to this day. I think most people use Stack Overflow these days!
    27
  2652. I don't know why, but you guys (mathematicians) from the US and Europe are so brilliant. You definitely know how to awake people's interest in math
    27
  2653. I personally wanted to Thank You for the Inspiration and Advice that you've given away to everyone. I'm working through the McDougell Geometry book from your recommendations playlist and it's been the most amazing experience reading and learning how to write proofs. I returned to school to study programming and attain a CS degree, now I'm a Mathematics major and until I reach the Calc level videos, the inspiration keeps me motivated to work hard every day, even if it's just three proofs. Thank you again for helping me out more than you could ever know.
    27
  2654. I love these motivational videos! Keep 'em coming! I remember making a mistake on a homework set in quantum mechanics, and I looked over it for something like 8 hours and couldn't find it. It was a simple series of problems but somehow I was obtaining impossibly difficult algebraic equations. Frustrated almost to the point of crying, I went to the professor and asked him to find my mistake. He spotted it in 30 seconds. I had somehow forgotten to take the alternating sum when expanding a determinant in cofactors, a stupid, silly mistake! And he told me something I'll never forget: "In life, you have to learn to find your own mistakes and fix them. This is what it's like to do research; there may only be a handful of specialists in your subfield capable of spotting your mistakes in the world, and they won't always catch them." It left a big impression on me. That advice has transcended math for me, as I keep telling myself to backpedal if necessary and work on my flaws, so that down the road I can be successful.
    27
  2655. My choice to sit and do maths, physics and chemistry was seriously worth it. And finding your channel motivated my math side of the brain, thanks!
    27
  2656. 10:21 As a French professor and Cultural Manager in his last year of Electromechanical engineering, I thank you for your props. It is indeed a hell ton of work.
    27
  2657. It was so easy to understand once you explained it so intuitively, keep making great content!
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  2658. There's no better motivation channel than yours!
    27
  2659. This is more motivating than a lot of motivational videos!
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  2660. I'm 73 I was a nurse so I had to know some formulas, doses etc. Really not to much detail and I passed h.s. algebra with a c and geometry with a b. I probably couldn't pass an algebra test today but listening to you and others I have relearning a lot.
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  2661. I am currently a grad student, but my hardest math course during undergraduate was functional analysis. I took it after real analysis
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  2662. Rain, candles and math. Love the ambience!
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  2663. Colleague, you always present the finest books here, but when I look for them I am shocked by the price.
    27
  2664. Too bad, I'm into that stuff Mr. Sorcerer
    27
  2665. Well, now I've seen everything. Mathematical comic books. I make lite of the notion. However, that's not such a bad idea.
    27
  2666. One nice introductory popular science book on cryptography is Simon Singh's 'The Code Book'
    27
  2667. There is this one analysis problem I have been working on for years. Eventually I will get it. Eventually I get them all. Math is an addiction.
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  2668. Honestly I don’t plan on buying any of these books right now , I’m 16 & wanted to say thank you, however a few or probably just 1 of these books will be added to my “Buy Later” section of amazon. Thank You seriously, I Hate SCHOOL but I love learning.
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  2669. I wish I didn't have to. For instance, the LOWER end cutoff to transfer into mechanical engineering at my hometown university is a 3.8 in the critical tracking classes. That's the lowest critical tracking GPA you can get just to be considered for transfer . That's insane. I'm trying to transfer into chemical engineering, and it isn't QUITE as bad, but the pressure is wild. I'm a mess trying to hang on to my 3.9 and I'm exhausted. Tomorrow is my last exam (DE) at my community college. My application for transfer is in and I need about a three day nap.
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  2670. As always, you seem to answer the exact question I had on my mind.
    27
  2671. I wish I did mathematics, I enjoy it so much now that I understand it.
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  2672. Currently struggling with maths rn. I need a passing grade to get in to college and I'm stuck in a rutt. I have so much to revise for in 3 months before my exam and I appreciate this message. Wish me luck guys , cuz my autistic @ss'll need it! 🙏
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  2673. You are so right, Math Sorcerer. If you want to exercise your brain, improve it, crossword puzzles and games are ok but they’re not even lose to doing math. I know this from experience. I had chemotherapy and found that it pretty much made me stupid. I had a hard time thinking, a hard time remembering anything, and I knew I had to do something about that. I especially found that math that used to be so easy for me, had suddenly become unrecognizable. Well, I just started all over again and it worked. Math is better than anything for keeping your brain on good shape. I do crossword puzzles.,wordle, that sort of thing and they’re just entertainment.
    27
  2674. I feel as though I'm being spoken to directly in this video. I feel that math has taken so much out of my life, and I'm not sure how willing I am to invest more time trying to learn it while others are making meaningful relationships. That being said, I recognize its intrinsic value. it feels wonderful to solve a proof or do something clever with math, but the fomo hits so hard when I see the very few friends that I have reminiscing on their pasts.
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  2675. Just wanted to give an update: I started with forgotten Algebra earlier this summer, now I’m part of the way through Chap 3 in Precalculus by Sullivan. Absolutely loving it and no end in sight. Your videos are incredibly inspiring. Thank you, Professor.
    27
  2676. For Mathematical Statistics absolute calc prerequisites are Taylor Series (uvivariate and multivariate), double integrals, Jacobians and Leibniz rule for integral differentiation
    27
  2677. this is the most understandable solution to the problem that just popped in my mind recently.. thank you so much
    27
  2678. Damn, this is hard. It's unconvetional and requires out of the box observations. Thanks man.
    27
  2679. Been feeling down for awhile and this video helped cheer me up
    27
  2680. thanks I'm Oppenheimer now
    27
  2681. Huge congratulations to Michael! Good luck on your studies!!!
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  2682. People have some really good ideas in these comments. As someone finishing up their undergrad studying electrical engineering and physics, I think the thing that helped me most was positive associations with studying. There’s many things that go into this but if you’re about to self-study a subject but don’t have the most positive associations studying, dive into something that you think about at random times of day because it is so interesting to you. In the long term, studying something deeply takes some really hard work (I’m attempting to self-study math at the moment), but it’s no shame if the beginning of your self-study journey feels like entertainment. I feel no shame beginning my self-study journey by just watching YouTube videos that fascinate me. Once I’ve developed positive associations with the material, I then lean into the difficulties (like reading and doing problems) a little more. Let me know if anyone agrees / has anything to add to this!
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  2683. I once read a comment under your videos which went like "if you want to understand math, create your own lemmas of every single thing and prove them" whoever gave that advice, thanks, from there on I started to actually improve and not just learn things and accept them
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  2684. An example that most collegiate level math instructors do not know how to write good exams. An infamous exam was Professor Ribet's Math 1B 2nd midterm, mostly on series. (Yeah, that Ribet.) Anticipating the difficulty, we all studied our arses off. I remember the night before rehearsing in the shower, 'if looks like this, then do the Ratio test. If it had anything like this, then use the Comparison Test. We knew our stuff. Normally, he gives one trick problem. But on this midterm every problem was a trick problem. The easiest problem asked us to prove the Mean Value Theorem. The first problem had us carry out the series to fourteen or fifteen terms before realizing it was a telescoping series where everything cancels except the first term. Total of 60 points distributed uneven among 6 problems with 1-½ hr to complete the exam. The highest score was 49. The next highest score was like 22. The mean was 19. The midterm was worth 20% of our grade. The Final was worth 50%. Not until UCLA did I experience how to write good math examines. The exam difficulty level should be divided into three parts. First, early problems are straight copy from homework with slight change as in the numbers. That way, do not alienate those who do homework and guarantees them at least a C grade. The second part are the conceptional problems where ask of the students 'did they get the idea, the ground concepts to learn?' That is for the B students. The final problem, or third, separate between your A's and B's with an almost Putnam level type problem. The exam increases in difficulty as the student progresses. Makes for a nice grade distribution. Also easy to diagnose where the student is experiencing difficulty or misunderstanding.
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  2685. 3:12 "How did you even get into this class?" 😂😂😂😂😂😂😂😂😂
    26
  2686. Every time I see your videos, I feel inspire to continue.
    26
  2687. I got two volumes of the Piskunov book from my father. Excellent material. They were such little books but covered so much. One of my favorites was the Chebyshev method for approximating definite integrals, which you don't find mentioned almost anywhere.
    26
  2688. While it's not a book on topology, I think baby Rudin does an excellent job in preparing the student for general topology. When I read it, I didn't realize that all the definitions and theorems regarding metric spaces were carefully set up so that when I ready Kelley's book on general topology, I would be ready. It was like, hey remember all those ideas about open closed compact connected sets you learned about in metric spaces? Well it all generalizes to abstract topological spaces! Without that background, I think I would have had a terrible time figuring out what general topology was about.
    26
  2689. Success = Talent * Effort^Focus + Random Events. Effort and Focus are in one's control. Talent is revealed by the application of Effort. The second term can take on positive and negative values: life is like that.
    26
  2690. Oooo PDEs. I was wondering, how hard are PDEs, compared to ODEs? Didn't get to study them much yet but I'm curious.
    26
  2691. Love these types of podcasts with people in careers related to math
    26
  2692. You turned into David Goggins after 1 Mil.Congrats
    26
  2693. Math exam tomorrow, wish me luck!
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  2694. I read through this work about 50 years ago , it's really difficult for self study, at least it was for me. I appreciate it more now that the material is more familiar to me. Menzel was a big name in astronomy back in the day, he did much fundamental work in theoretical astronomy and in observational work. I have a few of his books - Cheers -
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  2695. You never know what other student's class load is. I took Computer Architecture (or Parallel Programming) and Compiler Construction at the same time. They were so difficult and time consuming, I don't remember what the third course was. P.S: These were MSCS courses.
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  2696. I failed at many things in my life and never let failures daunt or discourage me. After failing at something, I could just push off and do something else — or persist at what I am weakest at doing. Persistence pays off. No pain, no gain.
    26
  2697. The disk and shell methods was one of the easiest parts of the course for me...
    26
  2698. IQ affects how fast you learn math. This sets time limits rather than making the learning process impossible.
    26
  2699. I’m going back to school after 10 years and feel rusty and slow, but somehow with your lectures everything comes back and I understand so much more than I did as a college kid. Thank you so much!!!
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  2700. I'm 39 years old and this is my second year in Sapienza Rome University, Computer Science degree... it's never too late
    26
  2701. make a video about your favorite and least favorite math classes in undergrad. I think that'll be interesting to hear.
    26
  2702. Hi ... Math Sorcerer.... I was wondering.... do you believe in god ?
    26
  2703. These are the golden years.
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  2704. More than four decades ago, when I, born in Zagreb, the capitol of Republic of Croatia, was student at Zagreb's University, Faculty of machine engineering and naval architecture, I remember than assistant in Mathematics (1 to 4, by first 4 semesters) who was leading exercisings or applied parts of mathematical study. He has had in his hands Schaum's (Outlines of) Theory and Problems of Calculus almost every time he was at green board with his chalk. In those days, Schaum's Series were printed with outstanding one pastelle colour outside. And it was remarkable. By the way, that assistant was than docent, than associate professor, than full regular university professor of mathematics, some years ago retired. Very nice yt work, by the way, my English not so.
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  2705. I'm 51 and I just enrolled in college. Starting over at my age is exciting!
    26
  2706. Numberphile is really the antidote to this style of math class that we all have been subjected to where half of it was finding values without discussion the concepts themselves and why they are awesome. Math classes should be a story we can play with. great job reminding me of school lol.
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  2707. This is what I needed to hear, thank you!
    26
  2708. Recently in Amazon I saw that a book called Understanding Analysis by Abbott is getting so many reviews that says it is better than any other advanced calculus book. Can you check it out?
    26
  2709. The book that makes you scream the name of the first author constantly
    26
  2710. Hi, the value of the video would benefit if you’d go over the contents chapter by chapter at least.
    26
  2711. No numbers were harmed in the making of this video...
    26
  2712. This channel brought my love for maths again. I watch your videos daily with some maths proof writing in it🎉🎉🎉... Watching your content from South Africa. Your abstract algebra and topology playlists have shaped my maths degree
    26
  2713. Happy new year
    26
  2714. I bought "All the math you missed but need for grad school" - for linear algebra the first chapter of this book + 3blue1brown linear algebra essentials has provided a nice refresh and helped quite a bit to get the intuition behind linear algebra and abstract vector spaces
    26
  2715. You have no idea how much I needed this! 😭
    26
  2716.  @TheMathSorcerer  It's strange.. I used to have such problems and used to SO hate mixture and 'work' problems, even back in high-school math (algebra 1 and 2) and a goodly bit MORE later on. But now they feel kind of relaxing... anyone?
    26
  2717. I appreciate this video so much! I love how you explained things and didn’t expect that everyone already know what something meant. Most professors don’t understand that, yes it’s an advanced math class but we learn hard topics at such a fast rate it’s so hard to remember it all. YOUR EXPLAIN WAS AMAZING!!!
    26
  2718. I dont think that mathematicians are elitists, it's just that they are aware of the huge effort one has to put in in order to understand the subject. Someone outside that circle might think of the mathematics community as a closed one, but it's not due to some sense of superiority, it's just that it's actually very hard to become a mathematician. Once you get your degree no one will exclude you, instead almost everyone will be happy to have a new colleague working in the field.
    26
  2719. golden
    26
  2720. I picked up both the Geometry and the Pre-Algebra & Algebra 1 books recently. Been away from maths too long and these books are great to clear out the cobwebs from the brain.
    26
  2721. Me: Can you please clarify this for me? Prof: It's in your notes.
    26
  2722. Be careful not to "buy into" academic values too much. They have their own status hierarchy, just like any other group. You're learning because the more you know, the more value you'll be able to provide to other people. Nothing short of a tragic accident can take that away from you.
    26
  2723. I will use this when I become a teacher: "Hello class and welcome to Calculus 7......"
    26
  2724. Bro is impossible to fail his class lol a great professor, lenient exams, and a bunch of extra credit.
    26
  2725. I’m taking it rn. God help me pass this class
    26
  2726. You are very clear in all your steps. It makes it easy to understand! Thank you so much!!💜
    26
  2727. This dude has understand the YouTube Business haha
    26
  2728. Hi,Math Sorcerer!!, thank you for all your videos, you have inspired me for studying again mathematics, I am an engineer, but I always want to go further in mathematics, I like it a lot, and your videos and recomendations have helped me to have the courage for studying again. I think Never is too late if we have real determintation to do it. Thanks a Lot again. Greetings from Colombia, South America. My best regards.
    26
  2729. I would go into crippling debt to have this man as my professor.
    26
  2730. Though u were an average student but you have a positive attitude towards mathematics and hence what u r today🙏🙏👍
    26
  2731. Tip: If you want to be an engineer, start with the Pre-Algebra pathway. If you want to be a scientist, start with Discrete Math + Proofs Pathway.
    26
  2732. Currently 24, and I am planning to start university this February for math and computer science. You are not alone my friend, and It's completely ok! No matter what just be excited to learn!
    26
  2733. This is how calculus was presented before the discovery of the epsilon-delta definition of a limit. Interestingly enough Abraham Robinson was able to rigorously prove infinitesimals using model theory in the late 1950s
    26
  2734. You have more textbooks in one subject then I have for undergrad I love it
    26
  2735. I find this more of a therapy channel now and I'm completely fine with that. Sometimes I need a mentor.
    26
  2736. I dropped out of high school after failing all my classes in one year, got my GED, and now I am majoring in aerospace engineering at a pretty good institution. You just have to do the work to catch up to all the people who graduated high school. I had to start from Remedial Math and from there I took College Algebra, Trigonometry, Precalculus, Cal I, Cal II, Cal III and Diff Eq. It's been a long road, but it's very doable if you are dedicated. Generally, if you drop out, the only immediate option available to you is community college- which is what I did. Take community college classes for a year or two and then transfer to a 4-year university. Good luck! Also, once you are caught up to everyone it feels amazing, and I mean the feeling is genuinely inspiring.
    26
  2737. I think a lot of people initially dislike proof writing because they had a bad experience in geometry in high school. Many of my friends hated geometry, and the teacher was awful. I wound up teaching myself, but i didn't just learn enough to pass a test. I enjoyed, "English for Math Students." So, I read more about proofs. This proved to be very helpful in college. Learn to write. Learn to write proofs. You'll math a lot better! (Yes, that was "math" used as a verb. 😊 )
    26
  2738. The book my university uses is Calculus: Early Transcendentals by Sullivan and Miranda. If you haven't already, could you make a video about this?
    26
  2739. Had old Soviet book written by another author but named exactly like this (though in Russian). Needless to say the content is the same and even the sequence is somehow similar (but hyperheometric function was explained at first place and used further on e.g. in Gamma function explanations). Good old times of studentship...
    26
  2740. I am 41 and just started understanding some concepts. Always hated trigonometry. Now I have no issues with it. It takes time for the brain to form certain structures to deal with math.
    26
  2741. Undergrad math degrees: Quantitative trading, data science, data analyst, statistician, computing jobs within finance, weather simulation and meteorology, medical diagnosis, etc. Undergrad CS degrees: Software engineering, IT and/or IS analyst, data science, full-stack developer (or just front/back end), software quality assurance manager, etc.
    26
  2742. So true😂👍
    26
  2743.  @veganphilosopher1975  it's not black and white but one reason is because needing to do something ignites a sense of fear within us, meaning we purposely avoid it, but only slightly. Choosing to then learn something else provides a bit of comfort for our subconscious as we're technically still learning, just not what we need to learn.
    26
  2744. Had it loosely mentioned in high school. Back in late 80s / early 90s used it in cartography and astronomy course in college. It's beautiful and very useful in this context and even when I used GIS like Esri geoprocessing tools, decades later.
    26
  2745. The e^n over n! one is actually pretty easy. All you gotta do is realize it's of the form x^n/n! with x=e. So not only it converges, I even know what value it converges to : e^e.
    26
  2746. I need an "All the Statistics You Missed" book.
    26
  2747. I am a mathematician first and foremost. I think physics is very cool, but I’m actually specializing in biological maths because I also love plants. My fellow botany friend is specializing in biophysics for a similar reason to me. I guess it’s whatever you end up developing an interest in.
    26
  2748. Currently 24 years old, taking calc 3 and linear algebra, thank you for the encouragement, i sometimes have those feelings of being too old, but i realize it's never too late, and especially because I'm not starting from scratch. Cheers
    26
  2749. Just algebra... everything else is mastery of algebra
    26
  2750. Math Sorcerer I want to recommend some books to you. The first three are what you would call "books you read." The first is How Mathematicians Think: Using Ambiguity, Contradiction, and Paradox to Create Mathematics by William Byers. Byers seeks to describe and understand how mathematics is actually done versus how the end result is presented in textbook and lecture form with esp. emphasis on how ambiguity, contradiction, and paradox are used in dealing with concepts such as "zero" or "infinity." It examines various mathematical concepts culminating in algorithmic information theory and concludes with an attempt to transcended the "Mexican standoff" between Platonism, Formalism, and Constructivism as to the nature of mathematics. The second is The Mathematician's Brain: A Personal Tour Through the Essentials of Mathematics and Some of the Great Minds Behind Them by David Ruelle who is actually a mathematic physicist so he presents something of an outsider's viewpoint albeit an outsider who was worked closely with mathematicians throughout his professional career. The virtues and idiosyncrasies of mathematicians are described as well as their professional vicissitudes. The reflections on Grothendieck are worth the price the book alone. Third is Mathematics for Human Flourishing by Francis Su which is an account of what math can and should be for people. Su reflects on hardships inflicted needlessly in the teaching and profession of math. Special problems are given at the end of each chapter and letters from a convict that Su mentors alternate with the chapters. The last two are books to work through and are to be studied in conjunction with one another. Perhaps unsurprising the both deal with number theory. First is A Pathway Into Number Theory by R. P. Burn which consists of a sequence of exercises that will lead readers from quite simple number work to the point where they can prove algebraically the classical results of elementary number theory for themselves. The other is The Higher Arithmetic: An Introduction to the Theory of Numbers by H. Davenport. Burn specifically planned out his "Pathway" around Davenport's book. By itself it might count as a "book you read" with "Pathway" they are books to study and work through.
    26
  2751. I took Calc AB/BC in one year in high school and had a great teacher. Calc III was my first semester in college, and I have poor geometric reasoning, so I struggled a lot in that class.
    26
  2752. Do you recommend doing all the problems in James Stewart's Calculus book for practice for the math GRE? Currently doing my Masters and got over a year and a half to refine my Calc skills for it. Its not that calculus is hard, I got my fundamentals down its just gotta learn all the tricks to solve some difficult integrals.
    26
  2753. Calculus I: A Calculus II: A calculus III: B (I was dating...) Vector calculus: A Listen to him!!! Good luck future calculus students
    26
  2754. Math textbooks are usually my primary source of learning, but I complement my learning with video tutorials if I'm stumped by a difficult concept in a book.
    26
  2755. Im double majoring in engineering and math at the A.S. level and i plan to pursue Engineering Physics as a bachelors because it seems the closest to being a degree in being a Polymath, essentially. I love the idea of being able to potentially just enjoy physics classes because my math will be good enough by then!
    26
  2756. Perfect timing, I just declared an applied math major alongside my mechanical engineering BS. This will be a big help, thanks Math Sorcerer.
    26
  2757. Really interesting! What do you think about the book "How to prove It: a structured approach" by Daniel J Velleman?
    26
  2758. Your math advice is honestly so helpful. Every time I start to feel like crap because I suck at calculus, I always just find one of your videos like this and try to get the fire ignited again. Plus I took your advice on how to read math books in a previous video (step 1: sniff the book is most important) and I do feel much more confident.
    26
  2759. I haven't had a burnout this year since I learned Calculus I early, but I might for Calculus II.
    26
  2760. I really love Set Theory, been self-teaching it myself for awhile now using various sources, including Halmos book...and one drawback I have noticed to this wonderful book is total lack of pictures....so I draw them myself to make things more clear. That's what's my math Prof told me few times . Draw your own pictures till things make more sense.
    26
  2761. I feel very lucky that my professors just upload a PDF of the exam and accept PDF submissions by the end of the day. None of that nonsense
    26
  2762. I always felt that others around me were putting up a front that a class was a breeze, when it really wasn't for anyone.
    26
  2763. I've mentioned it before on here, but I'm 58 and returned to math recently after quitting college in 1984. I'm doing it for just for fun now, but it's never too late until you keel over your math book and they pry the pen from your cold dead fingers....😆
    26
  2764. More excellent content, mate! I love that your channel isn't only about math, but also about the emotional component of learning and motivation. Thank you. :)
    26
  2765. I just failed my math class this trimester. All A’s except Math. This helped a lot :)
    26
  2766. This is awesome.
    26
  2767. The book also reveals that James Hann also published at least 3 other books: - "Analytical Geometry and Conic Sections", - "Plane Geometry", - "Spherical Trigonometry" and as he is referred to as the "late Mathematical Master" this implies that he died before 1850 (the date this particular book of his was published), and dying at the age of under 51.
    26
  2768. "assuming the person is logical" - yup, thats what it pretty much boils down to XD
    26
  2769.  @TheMathSorcerer  personally, for me it is kind of shocking that they do not teach Calc 1 rigorously in Highschool's at US. Where I live, there is rigorous Calc 1,there are vectors, 3D Trigonometry and many concepts that are taught in Undergrad in the USA. But I guess that that's good too, because students get more time to cover the more preliminary concepts and have a thorough idea on them. For example, I reside from India, and the way they teach Integration and Differentiation is ridiculous. They do not focus in problem solving, but they do focus on mugging up hundreds of formulas to use a "short cut" to solve complex problems.Absolutely no skills are endowed.Its all competition for the competitive exams, and everyone studies to pass the difficult competitive exams so they can get a job. There competitive exams have a success rate between 0.1%-0.7%.
    26
  2770. I try, I fail, I try and fail again and again.. I know it's a tough time for me...Thank you Sir for always motivating.. me.. Through your words.. Love you.. From India
    25
  2771. No pain, No gain :)
    25
  2772. Step aside pokimane, elementary differential equations and boundary value problems is my new thicc queen
    25
  2773. why were you able to drop the y^4?:)
    25
  2774. I’m disinclined to say that someone new to in-depth mathematics should simply move forward. I recently earned my Bachelor’s in math and I feel like it all flew by so quickly. If there’s a topic that interests you, take your time and figure it out your own way. Yes, absolutely, there is lots and lots to discover, but if you are doing this simply for yourself then do things at your own pace. I’ve noticed that most people don’t even have a good foundation is simple algebra even though it is the literal foundation. My advice would actually be to make sure you really understand algebra, and learn to apply it to calculus (really apply it). Get good at graphing and visualizing things in your head. In so many of my upper division classes I thrived while others failed simply because my foundations in algebra and calculus were strong. I know not everyone is getting a degree in math 😊 but I did and I loved it. I would also recommend to read books on the history of mathematics. I recommend “The Math Book - From Pythagoras to the 57th Dimension 250 milestones in the History of Mathematics ” by Clifford A Pickover. It covers everything, although it is a bit pricey.
    25
  2775. Why was this randomly recommended to me. Anyways commenting for the algorithm
    25
  2776. Changed majors from CS to Pure and Applied Mathematics this year after self-studying Group Theory, Topology, etc, and being inspired by The Math Sorcerer and a handful of Fields Medalists. I’m very happy with this decision!
    25
  2777. Thank you as always Gandalf for your wise words. As a fellow who is just getting into real analysis, i need this more than ever.
    25
  2778. A fellow book sniffer! You rock, love everything you put out. Bought The Calculus 7 following this review. Has anyone seen the cover artwork on the 7e? Hardcore man.
    25
  2779. I started self-learning topology a while ago, and boy!! What an amazing experience! I'm sure as hell I would'nt have enjoyed it as much if I was taking it in school. There's something about self-learning that makes it a unique and memorable experience; no exams, no pressure to finish this part or that, it's just you and the book in the entire universe!
    25
  2780. Love these videos. To hear someone of your own caliber express your own difficulties in life compared to where you are now is really heartening and encouraging. You're an inspiration.
    25
  2781. It depends. Once upon a time we had education and not indoctrination. Some degrees are absolutely worth it. Mathematics, engineering, computer sciences, and most of the hard sciences are absolutely worth it.
    25
  2782. I grew up in Colombia and yup, this was THE ALGEBRA BOOK. Thank you for the memories. Oddly enough I'm re-learning algebra and I thought of this book. I remember it being difficult to read. I'm glad modern generations have way more options that may be more accessible. My dad used this Baldor book during high school, did every single problem. It helped him become a Electrical Engineer back in the 70's Gracias por el video.
    25
  2783. I've realized recently how distracting my world is - clutter, electronic and human interruptions. I'm not sure how I would react to a clean room with a math book, a desk, a chair, a pencil and paper, and no electronics.
    25
  2784. I am in the very fortunate position of being able to develop my own courses at the high school level and teach them how I please. Thus, I have taught 3/4 of the content that you have gone over with my grade 11 and grade 12 classes. Calculus is by far the best teaching subject and a real joy to teach.
    25
  2785. Historically timeless and mathematical, its like finding an ancient spell book
    25
  2786. I have a math BA and I dropped out of high school as well. I was only interested in math and physics and I didn't want to take the other classes. I taught myself a lot of the college curriculum in high school and was studying Laplace transforms and non-linear ODEs at 16 and doing some measure theory proofs at 19. Graduated with a BA at 24 and worked shit jobs in retail and sales. Drank a lot, did some drugs and moved around. Now, I'm trying to get into grad school for a computational math PhD. There really isn't anything else that interests me all that much in terms of a career path.
    25
  2787. You cracked me up...cause you said let's do one more...but would always do more problems.
    25
  2788. This video is so comforting, I am 16 going to my second year of university (computer science). I was top of my class in 6/8 of the courses in year 1 ,but every few weeks I get anxiety contemplating if there is something else I am better at doing. But I’m starting to realize that I already found something I’m fond of, and it’s now my turn to shape the future where CS is the “something” I’m good at
    25
  2789. Having had a 36-year career as a software developer and 29-years of those years as a commercial system software developer, I agree, Knuth's books commonly being referred to as the bible of programming. Indeed, one of the reasons I decided to earn a mathematics degree is to appreciate his three volumes; like illiteracy, innumeracy is a bitch. Beyond Knuth's books, although not nearly as famous, I would say that "Software Fundamentals: Collected Papers by David L. Parnas" is extremely important. It contains writing which were seminal to object orientation, an idea Parnas coined Information Hiding (IH). Managing complexity is all about abstracting.
    25
  2790. Him: "I hope this is useful for someone in the world" Me *in Australia*: "THANK YOUUU"
    25
  2791. A good way I remember how to find the matrix is to see what vectors the linear transformations turns the canonical basis vectors, e1 hat, e2 hat and e3 hat, etc into. The resulting vectors are the columns of your matrix.
    25
  2792. I was reading a book about one of my favourite authors, Raymond Chandler. He talks about learning to write. In a letter to Helga Greene in April of 1957. "A schoolteacher of mine long ago said--- 'You can only learn from the second-raters. The first-raters are out of range: you can't see how they get their effects.' There is a lot of truth in this". I think this applies to math too.
    25
  2793. Definitely a good lesson when copying someone's homework would be to hand in the same homework, upto isomorphism.
    25
  2794. That’s a sexy book
    25
  2795. For those who are curious about those books,they are available online but are written entirely in russian with no English translation available even after 50 years.
    25
  2796. This guy is the most American looking person I've ever seen Thanks by the way 🙂
    25
  2797. As a fellow lover of hoarding math books, it is an unreasonable pleasure to listen to you talk about various texts! Have you checked out any of the "Student Mathematical Library" books? They're published by the AMS, based on lecture notes for advanced undergrad courses taught at the Mathematics Advanced Study Semesters program at Penn State. There are over 90 volumes, all fairly self-contained texts on generally nonstandard topics, really cool collection of books! I'm currently enjoying volume 87 on Ramsey theory!
    25
  2798. had this exact problem on my lin alg hw and you miraculously had a vid on it thanks!!
    25
  2799. I’m extremely thankful for finding your channel. I’m currently in the process of deciding to start the ASU Online Software Engineering (BS). About 13 years ago, I dropped out of HS late freshman year (family problems), but now I’m 29, my 20’s were rough, but I’ve grown a lot I think - I work 25-30 hrs a week at Starbucks as a barista (I don’t want to be in the service industry forever), which is why I’m looking into this class. Majority of my time is making sure my elder pup, Milo (11), is given the best golden years of his life, we take lots of walks and spend a lot of time together. Many Reddit comments I’ve read about the course, are saying that the math can be intense, and it’s good to be fluent in algebra and calculus - which I’m not, but willing to become - and I can dedicate about 2-3 hours a day towards school. Watching your videos has really inspired me to pick up Khan Academy again. I’m starting from the bottom, and working my way back up to algebra and calculus. I’m doing about 30 minute sessions, about 2-3 times a day, and not feeling burnt out - I think it’s quite fun really. But I’m nervous that I won’t be ready for the fall semester. Burning out, and losing too much time for Milo is my greatest fear, especially since his time is much shorter on this earth. I’m honestly starting to think that maybe I should hold off until the spring to start the course. This would give me the rest of the year to prepare, get familiar with java, and even take some of your math courses once I’m to that point. Sorry this is so long, but I don’t have too many people that I can talk this out with, that I trust. I certainly will always avoid these toxic study habits that you’ve just mentioned. I’m looking to make good grades, and to not shortcut my way through life. Thank you for what you do. P.s I do have my GED, but I feel like I barely passed that almost 10 years ago. 😕
    25
  2800. My credit card breathes a sigh of relief! A review of books already in my collection. Very appreciative of all your videos.
    25
  2801. You forgot the Most important one! Never going to the hairdresser...
    25
  2802. O mighty math sorcerer, bless me with your great taste in t shirts.
    25
  2803. Good video! Thanks! Other challenges with self-study are: 1. Not knowing what we don't know - not knowing what topics to pursue in a subject can mean we waste time on stuff we don't need, and even miss some important stuff altogether; professors in unis make sure to touch on all the important points at each level of study 2. Not knowing which authors to read - not knowing who are the respected experts are verses those who are fringe or too ideologically driven can mean studying the wrong people, especially in the humanities but also in STEM topics; professors focus on the current consensus within recognized and reputable scholarship 3. Lack of companionship - in school, we're studying along with others and we can talk with them about what we're learning, and we can also commiserate with them if the prof sucks
    25
  2804. Initially it's annoying to stick ito any habits but they become our routine by regular practice.
    25
  2805. The magic your'e looking for , is in the work you're avoiding. I didn't have the chance to take up further maths in secondary school which made some doors closed for me. Eg Going to a Junior college which is 11th and 12th grade. But I didn't give up and started learning calculus 1 on my own this year which is kinda challenging to me. But I'm really set on taking aeronautical engineering in a polytechnic so Im hoping to learn as much maths I can so that I can close the gap between students who have taken Futher maths and me. Thank you For another Sam sulek Car drive video, Mr Sorceror
    25
  2806. There’s a fine line between confidence and arrogance you seem to need to not forget.
    25
  2807. I just thought he was performing some sorcery being the math sorcerer
    25
  2808. This is becoming my favorite channel
    25
  2809. I needed this, I started college recently and everything is getting really frustrating
    25
  2810. For 15 years I've been trying to learn programming as a hobby, so I could create cool projects for my project car. I would start, stop, read, read, and read. Buy stuff, read more, and never actually get started. I'm proud to say that over the last month, I've sat down and really started. I've done the most programming ever in just that time period. It's not easy. At times my mind wants to resist because it's "hard". It wants to be comfy. But once I sit down and just try to start something, even just one line of code, things change. It's not easy, but boy is it worth it. I'm going to try and apply this in all areas of my life. My career, relationships, my own personal well being. I stumbled on your channel a few months ago and boy am I glad. You've helped me realize that as long as I'm alive, things can change for the better. One day and step at a time. Thank you!
    25
  2811. Other real analysis book: well I'll show you some easy-to-understand approach to Lebesgue measurable sets at the beginning. Rudin: Well I'll show you Lebesgue measure essentially exists. We are using Riesz representation theorem with lots of topology techniques. But before that you have to learn some abstract measure stuff.
    25
  2812. You can think of it like this - every math you learned so far is like learning to talk as a kid. Real Analysis is the first time you actually hold a pen and write what you're talking in the form of letters and words and phrases for the first time during elementary school. Really hard in the beginning but not so much after you do it consistently.
    25
  2813. This particular book would make a great Dover reprint if it hasn't been done yet.
    25
  2814. This couldnt have been uploaded at a better time… Thank you kind wizard~ The past year was hard, lost so many friends, so many people. Made so many mistakes… so so many
    25
  2815. We appreciate how well you've articulated your insights on this matter. You'll always have our support.
    25
  2816. Ciao ! Spivak's Calculus is an amazing book. The depth with which he explains concepts is impressive. That's a real math textbook that mitigates the churn-and-chug approach of many students.
    25
  2817. Your broken book can be fixed. Just use Elmer's glue. Before closing the book, though, put a sheet of wax paper between the pages at the break, so the pages don't get glued together. The librarians at your local library should be able to give you some advice (that's how I learned). I have done it a few times successfully (but never with a book that badly broken).
    25
  2818. Do you ever blink dawg?
    25
  2819. When everyone else is binge watching netflix, the learners are on the prowl.
    25
  2820. One of my favourite mathematicians. Thanks for sharing this incredible book.
    25
  2821. Thankyou for making me in love with maths 💯❤️
    25
  2822. Bro this is helping my homework
    25
  2823. Thank you area 51 scientist from Independence day
    25
  2824. This just made my day and helped me a lot. You are helping lots of people and doing lots of good for the world :)
    25
  2825. I dont even have a class for cal 1, its all small videos discussing the topics through web assign, ive learned more from youtube videos than from the assigned videos since they do a better job of explaining in detail than the five three to four minute videos in web assign ever do. Atleast in my opinion. I miss the physical classroom environment.
    25
  2826. I was literally thinking about giving up 15 minutes ago. Thanks for this!
    25
  2827. I literally just got hired as a math tutor today haha. And this video was uploaded less than an hour ago. Such perfect timing!
    25
  2828. I thoroughly enjoyed the follow up book, Mathematics and Plausible Reasoning. Amazing read!
    25
  2829. Physics along with a mathematics Is a one powerful tool by which one can create.
    25
  2830. John, the most important thing is for you to learn your math. If you want to get a jump start on your master's, artificial intelligence is all based on neural nets (a lot of them). My advice is to read a simple book on neural nets. I suggest "MATLAB Deep Learning" by Phil Kim. MATLAB has toolboxes with pre-developed learning algorithms for simple network development. Then, keep building neural nets to classify images and data. It will give you exactly the kind of experience you need for your master's.
    25
  2831. How I achieve it (Warning: extreme) 1. Uninstall all social media and unrecommend A lot of YouTube recommendations and distractions 2. Plan your day ahead of time( write it down ) 3. Wake up and go to bed at the same time 4. Eat no later than sunset( if you can) 5. Shut screens off an hour or 2 before bed 6. Study math in bed, this could be basic algebra but the idea is to sleep on what you work on. 7. Desaturate your mind homie, we are overstimulated
    25
  2832. This is very true! Wow, I have been doing this ever since my math "journey" or "career". Whenever I read a proof or even learn something new, I always ask why and what it is t I am viewing? I think hard to find out what it really means even if I found the solution. Doing so, I realized that I am growing a sort of mathematical maturity. And, it develops an intuition and getting used to things.
    25
  2833. It took me MANY years for the mathematical induction to click into place. 02:30 This is Strict Induction.
    25
  2834. I cant believe I just bombed my math test when its literally online, and you had just uploaded. Thank you so much, really need some fking motivation cause no one will give it to me.
    25
  2835. I've download a lot of the books you mention and I still don't know math. What, you mean I have to study them? Damn.
    25
  2836. In German, the "oe" in her name is pronounced more like the first "e" in Bernie or the "u" in burglar, and "th" is pronounced just like "t". Also, I used to have band practice in the Emmy-Noether-Straße in Munich in the late 90ies.
    25
  2837. When I was at UGA, the department head was the author listed in topology of manifolds. JC Cantrell .
    25
  2838. This video should have more views. By far one of the clearest and least messy explanations Ive found on this topic so far
    25
  2839. "this is what a math degree looks like" sees cardboard box used as a bedside table epic.
    25
  2840. Mathematics is the queen of the sciences 💪
    25
  2841. You will only be too old to do something when you start believing that you're too old to do it.
    25
  2842. I think linear algebra is the perfect introductory subject to higher mathematics. It helped me formalize proofs that could be very abstract but the proofs were extremely simple in comparison to analysis or topology. It was also very applicable to complex coding. Great video.
    25
  2843. I’m trying to do a very hard thing. The road will be long, probably many years or even more. But it’s my dream.
    25
  2844. So.... I'm new here but.... is no one gonna talk about the rat?
    25
  2845. Love your channel!!! As I am retired now and well beyond going back to school (BSEE Virginia Tech 82), I study math for the challenge. It's worth noting that many books that run hundreds for current editions are very affordable as previous editions. Actually used (and still have) Swokowski 1978-1980.
    25
  2846. Honestly pretty underrated Youtuber. Unfortunately we're part of a niche community.
    25
  2847. We're no strangers to math, you know the axioms and so do I, a complete logic path is what I'm looking for, you wouldn't get this from any other guy, I just wanna tell you what I'm thinking, gotta make you understand, never gonna give math up, never make math cry, never gonna say goodbye and hurt it.
    25
  2848. It's crazy how much I can relate to you! Usually, the Math Professors act so "robotic" that it gets hard for me to relate and makes me feel like I'm not well practiced
    25
  2849. We’re all in it together guys, keep going!!! 🏋️🏋️🏋️
    25
  2850. If you are not a fast math learner and still want to have a good grade... you need to do exercises 40 hours a day.
    25
  2851. Math is all about trying. Sometimes excercises take 5 minutes, sometimes 2 hours xD But for me that's math, try things, and if they don't work, do some research (some people call this cheating, I call it using the tools of modern society to its best xD), get fresh ideas and try again. Well in terms of failing, I failed differential equations so hard, but I will try it again #neverGiveUp Hope you guys can stay motivated with all the homeschooling going on and keep on trying and good luck to upcoming exams from Germany <3.
    25
  2852. you sir are the only reason I will pass My DE class this online semester.
    25
  2853. In addition to getting the book the class will use, it's important to do LOTS and LOTS of problems in the book. I used to get angry at one my old professors because his attitude was, "Do ALL the problems - don't skip anything!" Now I realize he was absolutely right - the more problems you do, the better you'll get. Of course, this assumes you have the time and perseverance to "just do it!"
    25
  2854. I´m also from Brasil. Just found out about your channel in the last couple of weeks. You are very honest and straight foward in you analysis, tips and book reviews. Great content man, great channel.
    25
  2855. It also has something to do with the fact that we always ourselves compare with our peers. It is hard not to do so. Being patient takes a lot of hard work and you always get challenged in ways that you can never imagine. Keep up with the work.
    25
  2856. I am studying engineering right now, and I noticed it's very easy for me to spend a lot of time on a single problem, struggling to solve it, and once I do, I will jump to the next one like nothing happened, and that can get tiring really quickly. Thanks for reminding me that I should take notice that I accomplished solving a problem that took me long.
    25
  2857. I remember when someone wanted to explain to me why electrical engineering needs special talent, he told me that EE involves complex numbers which contains (imaginary math) and hence requires imagination. I was in the secondary school that time, then I was able to take EE, and I discovered how that explanation was so stupid!! And I was sooo naiive and young that I believed it! 🥺😂😅
    25
  2858. As a self learner I think having answers or solutions manuals are very useful.
    24
  2859. As a grad student who TA'd, dealing with cheating was very stressful. To the point that TA's would rarely actually report cheating. It was taken as a semi-legal proceeding as you mention in the video. For international students, it could be a reason that a student has no future to study higher education and lift their family living standards. With stakes like that, reporting was always lower than reality, as no TA wanted the burden of knowing that their report was responsible for ruining someone's happiness and future. It was just like you say.
    24
  2860. Hey Math Sorcerer.... How can I get some of your math books that you don't need? I would love to have them.
    24
  2861. I remember using the old editions of Vol I and II That had solid blue covers and probably no color pictures. That was followed by Quantum Physics of Atoms, Molecules, Solids, Nuclei, and Particles. This last book in their series has not changed much in its second edition. I liked it because instead of just giving us the Schrodinger Equation it showed how it evolved from classical mechanics , new physics such as de Broglie relationship, and provided a stepwise mathematical solution rather than just stating what the solution was. I never liked skipping the details but didn't mind if some obvious steps were left out.
    24
  2862. I LOVE THIS BOOK!!!! THIS is my Bible!! THIS BOOK got me into Math!! I don't leave home without it, I take it to my dr, dentist, pt appointments, I leave it in my car, etc. I can't believe it! You have every book that I have!! My Math books ⊆ Your Math Books 😁
    24
  2863. Can confirm, I can do math now.
    24
  2864.  @TheMathSorcerer  LoL is the answer, quite literally
    24
  2865. Congratulations on getting 1 million subscribers! Entirely deserved for creating much needed quality YouTube content and spreading the love of math. Here's to your channel's numbers going ever higher! 🎉
    24
  2866. Nice to see Thomas Weir getting some recognition at the lair. The authors are from MIT & Navy Post Grad respectively. The 9th Ed. has had a place on my bookshelf since HS. 😊
    24
  2867. I was lucky since at my university a lot of these topics are taught in our first year abstract algebra course
    24
  2868. The same here in middle east bro 😅
    24
  2869. thanks. it didn't make sense but I'm just glad I get to see it.
    24
  2870. also all kinds of engineering books for beginners
    24
  2871. Possibly the most charismatic math teacher I have ever seen! You have a really engaging and whimsical teaching style that really makes me wanna focus. Thanks a lot for this video!
    24
  2872. You could add to your list the linear algebra books by Gilbert Strang. Also, "Matrix Analysis and Applied Linear Algebra" by Carl D. Meyer. For the "Jordan Normal Form", I've found that most books either don't cover it, or cover it superficially. I think the reason is that computer algorithms for the JNF are unstable and not recommend. The best book I've found so far for the JNF is "Matrix Operations" by Richard Bronson, in the "Schaum's Outlines".
    24
  2873. I went to the University of Central Florida where Dr. Andrews taught. I never had him as a professor, but I did hear that he was an amazing teacher. I heard that he wanted to make sure his students understood what he was doing on the chalk board. I have a copy of his Partial Differential Equations with Boundary Value Problems book. That book is also well written.
    24
  2874. Wait let me convert the whole video into simple terms..... TO PROVE : Φ ⊆ A PROOF : Let's prove this by contradiction method. Let's assume that Φ isn't a subset of set A . This impies, there is an element in Φ , which is not in set A . But we know that in an empty set there is no element . This contradicts our assumption. Hence proved that Φ⊆A. :)
    24
  2875. Great respect to the math sorecerer. I was hired by an evil company to do finance after i studied maths but I lurk the deeps of the web to study mathematics in my spare time. and the math sorcerer is a priceless channel. love what this guy does. Hopefully i can make it so i can go back to studying math full time :'(. Even watching the beginner videos get me nostalgic of my start in mathematics.
    24
  2876. @Laszlo Panaflez Did you mean “the regular multivariable calculus course that I took in college?”
    24
  2877. In terms of jobs, I think it does not matter if you're well-rounded or specialized. The job market is competitive these days. The challenge is convincing people you can do the work. For TOP scientific research, having a specialized mindset is not beneficial because cutting-edge work is so interdisciplinary, and research, in general, is so competitive. There are so many aspects that go into conducting quality work and effectively communicating that work in publications.
    24
  2878. This has been me with reading an entire book on Fuchsian groups along with papers on the subject...except I've managed to cobble together a Rosetta stone of sorts with a few textbooks on fractal geometry and hyperbolic geometry. The Princeton Companion to Mathematics has also been helpful.
    24
  2879. Thank you for always being so clear with your definitions and actually going through the steps. This helps so much, you're the best!
    24
  2880. Absolute classic! In same league as Ahlfors for Complex, Coddington for ODE, Artin for Algebra, Buck/Kaplan for Advanced Calculus, Munkres for Topology, Froberg for Numerical Analysis, .... They are still in print n immortal.
    24
  2881. People’s intentions aren’t always good.
    24
  2882. That was the hardest thing about calc 2 for me. I was horrible at the setting up the integrals until I took the time to practice it more over the summer. If it wasn’t for that I would have gotten an A in the class. Everything else for me wasn’t too bad, which is why I think ultimately calc 3 is harder.
    24
  2883. I just finished “Calculus 3!”
    24
  2884. Love videos like these. Im in my first proofs class right now, taking advanced calc next semester, you’re videos make a lot of sense to me
    24
  2885. It is a fantastic book. There is a companion book called "A Second Course in Calculus" too. It covers calculus of several variables. The first and second editions are the best.
    24
  2886. I enjoyed my major, philosophy. But now, I want to study math. :(
    24
  2887. One thing I can offer is if you can learn the trig unit circle really well and the quadrants it will be a major life saver. I went into calculus with 6-7 year gap after graduating highschool, so I didn't remember any trig and I still managed to do well knowing the trig unit circle. Best of luck!
    24
  2888. Absolutely loved this video! The concept of "digging deep" really resonated with me. It's true that studying isn't just about passively reading or understanding the material, but actively engaging with it. You've articulated the importance of 'doing the work' so well. It's a hard truth that just 'knowing' is not enough, one needs to actively test their knowledge by doing problems themselves. This is a reminder many students, including myself, often need. Also, appreciate the advice on asking for help when stuck. Keep up the great work! You're making a difference in many learners' journeys.
    24
  2889. It’s on my list too. I also recommend the old “The VNR Concise Encyclopedia of Mathematics”
    24
  2890. sorcerer made me switch to math and i am a junior at uni now. i have excelled in all calc courses, linear algebra,vector analysis, stats because of the discipline you stand for. so fun watching you everyday:) keep uploading. everyone - STUDY HARD. GOOD LUCK.
    24
  2891. The prof who teaches system dynamics at my Uni is a Russian who grew up in the Soviet Union & he's soo good at math. I have to take vibrations with him next semester 😢
    24
  2892. THANK YOU SIR! YOU ARE SO KIND SIR, YOU ARE SUCH A BIG MATHEMATICIAN, BUT ALWAYS SO HUMBLE, THANK YOU! :):):)
    24
  2893. Reading a few of the international replies, it might be that a common trait in the non-US systems is that they differentiate their curricula earlier than we do. Meaning, that if you know by grade 8 or 9 that your goal is math, physics, engineering or some other STEM field, then you are started in high school on a much more rigorous track, so that by the time you begin uni, you step right into rigorous math courses as an undergrad. That system would naturally collect the cream and filter out the chaff, and do it well before undergrad courses begin. In contrast, I am a teacher in the States and one of our biggest problems and frustrations stems from the fact that in high school they REFUSE, on the whole, to differentiate by level or ability. In our school all 9th graders take "Secondary Math 1", all 10th graders take "Secondary Math 2", all 11th graders take "Secondary Math 3". (This track might be peculiar to my state; I know others follow a more traditional Algebra I, Geometry, Algebra II, Pre-Calc, Calculus track, so the results there may vary.) There may be a few exceptions to this where some few select students may be accelerated at the behest of their parents, and we often have two tiers, regular and honors (the honors track hopefully ending with Calculus I/AP Calculus by 12th grade), but in no case is anyone ever allowed to repeat the course. Meaning: even if you completely failed Math 1, the next year you are still, nevertheless, going into Math 2. And it's the next year's teacher's problem to try and remediate you. But that usually doesn't happen: you just don't have the foundation for Math 2, so you fail that class as well, and then frequently fail Math 3 after that. (Except by Math 3, our state kindly allows you to finally opt out into a remedial math course to get your required math graduation credit.) Under this system, not only are you hurt--being forced for two years or more to struggle with math that you aren't ready for--but your teachers also have to dumb-down the class to remediate for you and all the others like you that failed last year but are nevertheless advanced on into this course, but also hurt are all your classmates that could and should be moving on at a more rapid and rigorous pace. Our US, Horace Mann philosophy of treating students like widgets in a factory--"Every 9th grader is Math 1, every 10th grader is Math 2 . . ." really helps explain what you see where by the time students get to college--unless they were the few that could be accelerated--the US students are, on average, behind their international peers. That's at least my perspective as a high school math teacher in the States.
    24
  2894. That algebraic topology text looks brutal 🫥🧐
    24
  2895. thank you professor. you are my one imaginary professor for this covid period :)
    24
  2896. This gives me hope. Thank you sorcerer 🙏🏻
    24
  2897. Thank you for talking about the stuff everyone experiences yet not many talk about.
    24
  2898. Hard work beats talent until talent works hard.
    24
  2899. It's a great book
    24
  2900. I think you hit the nail on the head for cheating during in-class quizzes and exams, those who do it(during those situations) should definitely deal with the repercussions, however I believe when it comes to homework there is a gray line between the student trying to learn and them trying to figure out how a problem is accomplished. I know often times a course instructor will cover topics in great detail but never apply it to certain examples to help a student use it in an application (such as homework). So often times a student usually uses YouTube, books or other online sources to find the way the problem was accomplished so they can learn the method that was not taught by the instructor. This is in no way a reason to just use online resources when you don't want to work through the HW (Iv'e seen countless peers use it only because they were lazy and just trying to turn in HW), Really if your doing this, it will only hurt in the long run when it comes to actually taking the exam. Otherwise thats the only reason I can see students using it
    24
  2901. Why am I watching this at 2:30 am? I never even took DiffEQ (stopped after calc 3 and linear algebra)
    24
  2902. I once saw Dr. Knuth speak. Fascinating to listen to. Besides these, he's the main creator of how computer science topics were typeset.
    24
  2903. You can actually do a sort of unusual u-sub here. x * lnx = 1/2xln(x^2). Set u to x^2, and you get the integral of 1/4ln(u)du, which is 1/4x^2(ln(x^2) - 1) + C.
    24
  2904. Physics is no joke! Serious respect, and continued success!
    24
  2905. Woah I would have never guessed English wasn’t your first language. What’s your first then?
    24
  2906. as a 27 yr old finishing her math degree, I really needed this today
    24
  2907. I have a deeply negative emotion/fear of maths because I grew up failing in it even after trying so hard. Even basic concepts , I struggled with. I want to overcome this but I just don’t know anymore. I feel ashamed to be this bad at math at 26.
    24
  2908. For anyone who enjoyed the style of this book, I would recommend Kernighan’s more recent book, “The Go Programming Language.” It retains the same thread of showing the reader interesting and practical examples, rather than fluff to demonstrate the language. In many ways, Go is the natural successor to C (it was co-designed by Ken Thompson, the father of the Unix operating system, for whom Dennis Ritchie essentially designed C), though its garbage collector makes it impractical for some things C is particularly fit for.
    24
  2909. yo this was the best video on proving a surjection
    24
  2910. "A man with one clock, always knows what time it is." "A man with two clocks, is never quite sure." "Even a broken clock is right twice a day."
    24
  2911. I love this guy and his videos. Great stuff.
    24
  2912. I'm finishing my engineering undergrad, but I have always loved the deep thinking behind math and its proofs. I am looking up for a master degree in pure mathematics. Wish me luck :D
    24
  2913. Love this guy. He’s absolutely right.
    24
  2914. Click on blue-highlighted time to view books below. 0:31 1. Discrete Mathematics with Application by Susanna S. Epp. 2. Discrete Mathematical Structures by Kolman, Busby and Ross. 3. A Transition to Advanced Mathematics by Gary Chartrand, Albert D. Polimeni & Ping Zhang. 4. An Introductory to Abstract Mathematics by Robert J. bond & William J. Keane. 3:36 5. Precalculus by .... (I will return here with author's name) 6. Fearon's Precalculus by (author's name needed) 4:15 7. College Algebra by Jerome E. Kaufmann. 8. College Algebra Essentials by Blitzer (Please check author's name) 4:58 9. A Graphical Approach to Algebra & Trignometry by Hornsby, Lial & Rockswold. 10. Calculus by James Stewart. 11. Calculus by Michael Spivak. 7:46 12. A First Course in Differential Equations with Modelling Applications by Dennis G. Zill 13. Ordinary Differential Equations by Larry C Andrews 8:30. 14. Elementary Linear Algebra by Howard Anton. 15. Linear Algebra by Stephen H. Friedberg. Arnold J. Insel & Lawrence E. Spence. 9:29 16. Mathematical Statistics with Applications by Dennis D. Wackerly, William Mendenhall III & Richard L. Scheaffer. 17. A First Course in Probability by Sheldon Ross. 10:11 18. Fundamentals of Complex Analysis by E. B. Saff & A. D. Snider. 19. Complex Variables and Applications by James Ward Brown and Ruel V. Churchill. 10:46 20. Analysis I by Terence Tao. 21. Analysis II by Terence Tao. 22. Advanced Calculus, A Course in Mathematical Analysis by Patrick M. Fitzpatrick. 23. Principles of Mathematical Analysis by (author's name needed) 11:38 24. Elementary Analysis: The Theory of Calculus by Kenneth A. Ross. 11:55 25. Abstract Algebra, A First Course by Dan Saracino. 26. Contemporary Abstract Algebra by Joseph A. Gallian. 12:25 27. Introduction to Topology by Theodore W. Gamelin and Robert Everist Greene. 12:43 28. Applied Combinatorics by Alan Tucker. 13:04 29. Naive Set Theory by Paul R. Halmos 13:26 30. Introductory Functional Analysis with Applications by Kreyszig. 13:43 31. A Graph Theory by Ronald Gould. 13:59 32. Real Analysis by H. L. Royden. 33. Real and Complex Analysis by Ruden. 14:45 34. Linear Algebra by Serge Lang. 35. Linear Algebra by Kenneth Hoffman and Ray Kunze. 15:19 36 Algebra by Michael Artin. 15:36 37. Calculus Made Easy by Silvanus P. Thompson, F.R.S. and Martin Gardner. 16:09 38. Geometry by Jurgensen Brown King. 16:27 39. Finite-dimensional Vector Basis by Paul R. Halmos. 16:40 40. Linear Algebra by Seymour Lipschutz, Ph.D and Marc Lipson, Ph.D. 16:46 41. Linear Algebra and Its Applications by Gilbert Strang. I am not finished yet, as I will revise list later.
    24
  2915. Oh, come on, I was just about to do this video haha! Looks like now I'm gonna have to include the power set of the power set of the power set of the power set of the empty set in order to make it worthwhile!
    24
  2916. I am making the best and most of my lazy days in lockdown. Free time for learning new skills.
    24
  2917. Everything becomes much clear with a rudimentary introduction to mathematical logic. Sentences, formulas, validity, and proofs. You don't actually need to know these in-depth, but a basic understanding of these things goes a long way.
    24
  2918. That Diogenes reference
    24
  2919. The TI 84 can do numeric derivatives and definite integrals. It can also graph the functions. Only scientific calculators, non-programable and non-graphing, are allowed for Calculus in most universities in the United States.
    24
  2920. I studied with this book when I was in 8th grade (year 2008) and remembered that my dad brought me his own book that he had studied when he was at university some 25 years before that, and even then it was a "new book". You can imagine how many generations of kids and university students have studied this book already xD
    24
  2921. I find you have a very powerful voice to motivate people.
    24
  2922. Your videos continue to inspire me. The enthusiasm of math, especially with math textbooks, blew me away.
    24
  2923. The keywords here ... passion, anything Becoming an expert is what drives successful people.
    24
  2924. I recently came across a book - a treatise on integral calculus - the book is in 2 volumes combining up to 1900 pages! Imagine learning integration using a 1900 page book! The book is so amazing that it covers more than enough techniques for integration - including differentiation under the integral sign and other tricks for all sorts of integrals. The best part is that the two volumes were published way beck in 1920 and 1921.
    24
  2925. Don't you love discounts?! Miss two and its 50% off or your mattress if FREEEEEEEEEEEEE!!! Hahaha
    24
  2926. I have a math exam in two days I've been preparing this whole year for it I'm a little scared because it didn't go well last year But with the amount of preparation and number of past questions I've solved I'm pretty sure I'm doing well this time This video is super inspiring too I'll be using it when i go to the university coming January Thanks:)
    24
  2927. Apostol and Feynman were contemporaries, and both taught introductory courses at Caltech around that time (ca 1960 give or take.) This is an interesting insight into what it was like to be at that school at that time. The picturing of it is interesting. To be a fly on the wall. Yeah go ahead and smell the binding. :^)
    24
  2928. I really enjoy your book review series along with your advise videos. Gives the same feeling as a videogame review. Love the content #MakeMathCoolAgain
    24
  2929. One more reason why engineering (especially electrical & electronics) is the hardest because the maths is not taught from the point of understanding & learning the math in a comprehensive way, but in a way of mugging up certain formulas and expressions of the fourier series/transform, other series & stuff etc. One never really understands where that formula for the series expansion actually came from, because maths, which is the language of the engineering is not known or understood completely. Also, the engineering syllabus, consisting of stuff that you need to learn without actually comprehending all of the math behind it, is vast and almost required to be mugged up. There are 5 of those bloody subjects in one semester, and its too much of a task to rote it all.
    24
  2930. This was so amazing! I love the way he presents everything. The bit about the continued fractions and the way he was saying "OOOOOVER" over and over again legitimately made me laugh out loud 🤣🤣
    24
  2931. oh god functional analysis is so incredibly boring, even though it has more applications than most higher level maths beyond analysis, stochastics and linear algebra. I just cant imagine finding it more interesting than topology or algebra.
    24
  2932. "PC LOAD LETTER" that meme never gets old
    24
  2933. If you wanna produce results, you better learn the content. But if you wanna produce new concepts, you better read about results
    24
  2934. I'm a chemist and recently had to switch jobs. There is this specialty called Mixture Experiments, which is an extension of Response Surface Methodology which is an extension of Design of Experiments. All this is high level statistics for R&D which for college level you never see any of this. Long story short, in less than 90 days I had to learn to program in R from scratch while also learning how to statistically analyze mixture data, and at the same time report everything in something called "shiny dashboards". Launching processed consumer products is no easy task.
    24
  2935. lmao i hope he doesn't teach
    24
  2936. My man here looks like a moving frame of Newton's painting
    24
  2937. Someone asked about this book in Wrath of Math's live chat last night. This is one of the most underrated texts in math in my opinion. It is one of my favorites. I put in on the level of Dummit & Foote, easily. As you said, it's extremely comprehensive. This textbook covered all of the material from my first undergraduate proof-based linear algebea course to my phd comprehensive exam on the subject. The exercises are brilliant and creative, and are seemingly designed to strengthen intuition, which it does. The book's writing style feels like a narrative through the development of the topic. It pulls you along as an active participant. It's not just "presenting" to you, it almost feels like you are an equal in the narrative, and are discovering and developing it with them. I truly adore this book.
    24
  2938. When the teacher looks mad, It's horrible. Why you teach math if you always look angry? That's one of the things why I hate taking math classes.
    24
  2939. I got a course on udemy today that covers trigg and precalc. I think the only reason I've been having trouble with calc is the lack of knowledge in trigonometry
    24
  2940. Almost a million subs!!
    24
  2941. Yes I agree, self taught math majors are better
    24
  2942. Even worse😂. There is a book: Basic Number Theory by André Weil… In fact, a book on Algebraic Number Theory and Class Field Theory...
    24
  2943. Man I really like the comments and the significant points you’ve raised in this video. Really really helpful. Thx
    24
  2944. The main problem with math is that you can't move on. Pretty much ever. If one topic confuses you, you've cut off an entire tree built on that topic. It's particularly bad in advanced math books that don't even attempt to teach. "Here is a list of ten thousand true statements. Now you know them. You're welcome."
    24
  2945. "Be realistic about confidence." One thing I ask myself before a test is: "am I as confident about my solutions as I am confident that 2+2=4?" The answer is never "yes" but sometimes it's "almost" and that means I need to study... like really hard. (Im only in Diffy-Q; I just finished Calc3.) Confidence is very difficult to quantify; we are sensitive, insecure, egotistical, and unrealistic, and Math is sooo precise, so my advice is this: 1) "Be realistic about your confidence." 2) "Instead of practicing problems you know how to solve, be honest with yourself about which problems you suck at & master those with 'almost the same confidence' you would have at solving 2+2."
    24
  2946. I was studying physical chemistry and just wanted to relax ,then a notification came Right video at right time Thank you
    24
  2947. Should take 4 years
    24
  2948. People need to compare themselves with themselves. Life is a race with yourself to be incrementally better. If you take that approach then you can achieve great things over a lifetime.
    24
  2949. I wish I knew about these books when I took physics and chemistry! Would have been such a massive help. I would have definitely understood the concepts better if I knew these books existed. 3000 solved problems, wow, thats a must-have for every student.
    24
  2950. I can vouch for this book 100%, I have the same edition. I finished the entire book having worked MANY problems from every chapter around 10 years ago, and then re-reading (skimming through) each section and doing more problems around 6 years ago for fun. I put it on equal footing with Blitzer. Last year when I thinned out my books, I donated Blitzer and kept this one.
    24
  2951. I also wanted to recommend "Introduction to the New Statistics: Estimation, Open Science, and Beyond" by Prof. Geoff Cumming (2nd edition coming in 2023). Prof. Cumming really explains very well the predominant importance of confidence intervals and effect sizes as opposed to only null hypothesis significance testing. 😉
    24
  2952. Even with reduced monitor brightness, this guy shined bright like a diamond.
    24
  2953. You're really a math sorcerer, thanks for making me realize it's okay, once I was depressed that I couldn't understand maths but now I know it's okay and that I shouldn't be stuck in one place
    24
  2954. Hi Math Sorcerer, I went to buy the topology book as soon as you mentioned it has solutions to its exercises, only to find that I purchased it a couple of years back; I just never got round to reading it. I don't know why. By the way, over a year ago now, I commented on one of your videos, saying I was downgraded from a PhD to an MPhil, due to health & financial issues. Well, I have my MPhil now and I start another attempt at a PhD at a different university this October! I'm so happy! I will be studying group theory again, only, this time, from an algebraic rather than a combinatorial perspective. I have to brush up on my topology too. The only downside is that I don't have a scholarship. I will rely on one of those government doctoral loans they have here in the UK. Thank you for your amazing videos. There's something relaxing about them and your enthusiasm is palpable. I'm a huge fan! 😀
    24
  2955. I wish I had that 1934 handwriting
    23
  2956. Wow this series is a goldmine for my analysis course, thank you so much!
    23
  2957. I am glad to hear mathematician name pronunciation is part of the curriculum.
    23
  2958. I think this is my biggest problem. Even though it's a long time since being in high school, the frustration and despondency I felt doing maths means I still look at relatively straightforward maths problems like a rabbit in the headlights. Combine that with the careless errors common to someone with ADHD, relearning maths is proving to be quite gruelling. Although, to be fair to myself, progress is being made.
    23
  2959. Thank you so much for your videos. I'm a 62 yo computer programmer. Your videos have helped me with anxiety about my work. So awesome of you to share your wonderful enthusiasm and ideas.
    23
  2960. The Jay Cummings long-form textbook on Real Analysis would have been a great inclusion.
    23
  2961. In Alberta Canada we took four calculus courses. Vector calculus was taught in the fourth. My major was in the meteorological sciences so vector calc was super important.
    23
  2962. Old books have so many secrets to give.
    23
  2963. Perception is everything.
    23
  2964. Grades matter. My teacher once told me if your undergrads grades suck but your grad grades are solid there is no problem. It gets suspicious when it is the other way round! Good grades in undergrad and bad grades in grad school! XD Sadly you get that job interview chance often trough grades. That being said I wish grades would be more representative. I rarely see people interpret below average grades as a sign of perseverance and devotion. The student for instance could have had some rough personal times when he was at college but did NOT quit! Instead he did not give up and pursued his goal with a spirit of perseverance!
    23
  2965. My lifelong dream is to become the first ghetto mathematician. 🙌🏾
    23
  2966. Thanks for helping me learn Differential Equations during the pandemic.
    23
  2967. If you're considering the Stewart Calculus book, you should know that there are several versions. At least for the 8th edition, "Calculus" and "Calculus: Early Transcendentals" are basically the same apart from when the exponential, logarithmic, and inverse trigonometric functions are covered, and "Essential Calculus" is much briefer. For someone doing self-study, the first two books should be pretty much interchangeable, so buy whichever you can get the best deal on.
    23
  2968. My high school math teachers probably made the most difference in how I viewed math. You could tell they paid so much attention to planning and clearly explaining concepts, so I grew to really love it and it’s all thanks to them
    23
  2969. The 2nd edition has 5 more sections. Galois theory included.
    23
  2970. Alternative title: Online College Semesters be like... Because this is college's whole new shtick now... PS: This is my life now, too 😂
    23
  2971. My professor has been linking your videos while they figure out how to record their own lectures and I swear this is the only class I enjoy because your lectures are super informative and enjoyable. I didn't think after taking 3 calculus courses that I would enjoy math again but you somehow made learning this stuff fun. thanks professor!
    23
  2972. "These are your father's parentheses. Elegant weapons for a more... civilized age"
    23
  2973. Math takes exercise. It may take some more time to process and grasp certain concepts (me) but after a while it starts to make sense. Damn i struggled with basic algebra at some point, but eventually you start to see the process and patterns and muscle memory kicks in
    23
  2974. I’m a second year software engineering student and have enjoyed my math courses more than any of the other courses. Unfortunately only two are required in the program, so I am taking more as electives
    23
  2975. Plot twist: the book is the art of computer programming and many of the exercises are unsolved research questions.
    23
  2976. You are the building block o future generations. Teachers are the best
    23
  2977. Repeat homework and review problems until you can solve them with speed. Most professors I've had will lecture and write exams geared toward their 'A' students. For these, if you have to think about the steps during a test you won't have time to finish. Work fast... then work faster. Best of luck.
    23
  2978. I'm really demotivated by not able to do advance maths
    23
  2979. I see self-study as learning and classes as accountability for that learning. Sure, classes provide you with a source of information, but we learn because we put in the effort to really understand a topic, not because someone makes you regurgitate a bunch of info. E.g., no one learns linear without taking time to build their own mental picture of a vector space and some transformations. I'd also note that if you're in a class and you leave each day understanding 100% of the material presented and you don't have to do any self-study, then you're probably in the wrong class.
    23
  2980. i wish i knew real analysis
    23
  2981. Do a problem, and anotha one, and anotha one, and anotha one... - Dj Mathled
    23
  2982. The engineers had a leg up on you in the complex numbers class. EEs use complex numbers/analysis by the end of their sophomore year in circuit analysis. The material on the first test was probably a review of work they had already done in their engineering courses.
    23
  2983. What I did that helped me so much, was to find a student who either done that subject already with a good grade or is currently taking that subject but pretty much acing the subject. I ask them to tutor me for that particular subject, for like an hour per week and pays them the same amount as with a proper math tutor would cost. Most of the students would tutor you because, firstly most students are broke especially the smart one, lastly you can talk them to it by saying to them that by tutoring you they reinforce their knowledge about the subject even deeper and makes it more fluid for them to use later on. I found it easier to be taught from a person around my age since they can explain it to me in much less academic language so it was easier to understand. This way is certainly an expensive way to keep up with the subject, I spent around $50/week for the tutor, but it would cost me thousands more if I failed the subject.
    23
  2984. One day I'll understand these types of maths. One day at a time! 😉
    23
  2985. I would recommend that anyone setting out to study QM have a solid background in linear algebra, as a lot of those concepts such as "orthonormal basis", "dual space", "eigenvectors", and matrix operations play an important role. Differential equations and vector analysis (nabla operations) are important as well. Some concepts you just have to "live with" for a time before it becomes clear how they fall into place. And Max Jammer's The Philosophy of Quantum Mechanics is useful for putting the study in a broader context. For QM textbooks, my favorite was Schiff, though he's not elementary. It has a nice series of graphs showing how tunneling works for finite potentials. Mertzbacher has a full proof of the Heisenberg Uncertainty Principle in an appendix, and it's general enough that you can realize an uncertainty principle exists for any two QM operators that do not commute. Anderson's book is useful for its historical development: before there was QM as we know it today, there was wave mechanics, and then matrix mechanics. I seem to recall that there's an QM text in the Resnick and Halliday series, which is likely to be introductory, but I've never read it. After obtaining a solid foundation in QM, I'd recommend developing an understanding of the role of symmetry, which means group theory (and group representation theory). I've used Herstein's book for this, but a very good introductory text is Joel Goldstein's Abstract Algebra . Wigner's book on the subject is oriented toward applications in physics, but does not cover topics of interest to mathematicians such as the connection to number theory through the Sylow theorems.
    23
  2986. I really needed to hear these words, as someone who is going to retake my first calculus class. I feel down in the last week weeks but slowly coping with my lacking. Thank you for this video Math Sorcerer.
    23
  2987. It's so nice to see people being enthusiastic about math because all I hear from people my age and younger is that they hate math with a passion. I'm 20, finishing the second year of computer engineering, and in the process of ditching my major for a degree in math instead. After 2 years of only caring about the calculus classes I finally realized what I truly want to learn, so I'm taking notes of all the books recommended in the comments to get me started. It's nice to feel like I'm on the right path for a change
    23
  2988. This is an amazing channel, don’t ever stop making content!
    23
  2989. "If you really want to be prepared... do every single problem in the book...." 😳😳🙄🙄🤯🤯🤯
    23
  2990. 2:48 "Mir" is Russian for "world", and it's pronounced "mEEr" as in "here" or "dear".
    23
  2991. So glad to see another mathematician recommend speed training for students. I discovered this principle at the beginning of my third year of high school and my results improved dramatically within months. The key was lots of mental drill work with basic skills ... like numerical calculations with integers, fractions, percentages, radicals, indices, logarithms, etc. as well as expanding binomial products and factorising quadratic expressions, completing squares, etc. In fact, there were many skills that I tried to practise mentally so that I could perform most such operations in my head within ten seconds. It paid off in a huge way. In my first state-wide mathematics test, I completed the two hour paper in 40 minutes (including showing all working). As The Math Sorcerer says, I was able to 'redo' the paper a number of times to check each answer. Tests are a speed trial. No one trains for a track even by simply jogging slowly. All top athletes include pace work and interval work in their training. Good mathematics students will approach their own mental training in the same way. Listen to this man. He is full of wisdom and practical advice about 'doing' mathematics.
    23
  2992. Best psychologist out there!
    23
  2993. you're the most down to earth and encouraging youtuber i've seen. i'm not even studying mathematics but I really like your advice and find it comforting. thank you for your videos
    23
  2994. If I had more time on my hand I'd attend some calc class and troll the teacher with those questions. I think they deserve it because the average grade in exams is always under 45%
    23
  2995. I've been going through blitz algebra and it is amazing, thank you for the recommendation it is a really good book!
    23
  2996. I started my studies at an older age than the others. At 25 fluid intelligence is already declining. I was above that. it took me much longer until it clicked. but this change stayed with me. My psyche is more robust and challenges seem much less intimidating.
    23
  2997. Damn! Not only am I motivated to practice math, now I'm also motivated to get to the gym!
    23
  2998. It's nice to see some familiar faces in these books! I did floating point implementations of Beta, incomplete Beta and Error functions for the Forth Scientific Library. But for my own compiler I did a lot more. I especially like Gamma functions - especially the "weird" ones, like Ramanujan and Cristinel Mortici approximations.
    23
  2999. I like to plug my earbuds in and play white noise while I'm studying or reading for fun
    23
  3000. Omg you got Thomas!? My all time favorite lecture is his talk about mathematical maturity! Got waay too exited when you announced it.
    23
  3001. You know you're getting old when your College textbooks show up as Dover reprints. But Dover books are very high-quality and very reasonably priced.
    23
  3002. We appreciate all of your hard work and effort. God bless you.
    23
  3003. YOU ARE INCREDIBLE YOU MADE IT SO EASY THANK YOUUUUU
    23
  3004. "and we all know who that was..." I feel attacked
    23
  3005. Hey Andrew. Stfu and upload a new video. Have a good day.
    23
  3006. I'm trying to solve a differential equation and then this video shows on my recommendations. Awesome :)
    23
  3007. Who else is here in 2020?? Thanks from Mexico, Math Sorcerer! :D
    23
  3008. *starts sweating profusely in spanish
    23
  3009. A: “I just solved an even more general version of the Riemann Hypothesis” B: “That’s super easy, I already knew how to do it, how come you didn’t figure it out quicker.”
    23
  3010.  @Hi_Brien  Maybe that's what you need to get to the next level, worst case scenario your wife will leave you and you'll have more time for mathematics, making you a better mathematician.
    23
  3011. This is great, I didn't drop out of high school but I should not have graduated.
    23
  3012. Functional analysis was both my nightmare and an amazing journey at the same time when I took the course this year. We study mainly for the book Einsieler and Ward. Fantastic subject but very scary when it comes to examinations, homework and generally evaluations with deadlines 😅
    23
  3013. I experienced inner peace when I was studying Calculus 2 just for fun. 👍😊
    23
  3014. "when the music's over, turn off the light", well the song isn't going to be over soon
    23
  3015. I enjoyed your video, sir. After reading some comments: Dummit and Foote is a pretty advanced textbook. It's used as a reference even by working mathematicians, so whether it's undergrad/grad level is arbitrary IMO. At my school, it's used by the grad students for their algebra sequence, and I am an undergrad and read this book. Doesn't change that it's a hefty old tome :)
    23
  3016. What I found to be an evolutionary event that totally changed how I understand math was my method studying math. I got encouraged when I first saw truth tables in high school, after that for every single mathematical statement or formula I tried constructing theorems and proofs to why they are true. I remember spending up to half a day and more for the simplest laws in algebra. So maybe starting to teach my self pure mathematics out of nothing, because I cannot understand applied mathematics well. Huge time sacrifices were made to be successful with this and it very hard, but I can say that the gains were at least doubled. So it comes down to what you want in life, I said to my self I want to understand math and I did everything I could ( still doing).
    23
  3017. I'm taking 7 classes at the moment, including one math, one chemistry and one physics class. Thanks for the motivation, I'll need it!
    23
  3018. Sussman's autograph in your book is unique. My copy doesn't have it. There is a sequel called "Software Design for Flexibility". Yes. The book is still used for courses like Adventures In Advanced Symbolic Programming, Computability Theory Of And With Scheme, Building Programming Experience: A Lead-In To 6.001, although the intro course now uses an unpublished Python version of the book.
    23
  3019. When is the Math Sorcerer guide to arm day coming out?
    23
  3020. I don't usually comment, not that this was important remark, but with that said, I've watched 2 of your videos by now, the gift one and that one and I must say that I'm happy that I found your channel (by ad, so it works) and I just wish you good luck, definitely gonna dive into your stuff.
    23
  3021. This channel isn’t just a math channel it’s about home decor, bodybuilding, philosophy, metaphysics, we just need some cooking now! This is a math lifestyle channel
    23
  3022. Some (hopefully) constructive criticism. When I was in High School, I initially struggled with Calculus. I found textbooks to be of no help in explaining Calculus to me. Then, I decided to watch Khan Academy videos on Calculus. After about 10 days of watching Khan Academy videos for 2 hours per day, Calculus finally made sense to me. It seemed that Sal Khan was able to explain concepts from Calculus more clearly than any textbook could. I think I speak for a lot of people when I say that after trying to read from a Math textbook, I come away more confused than I did when I started. TL;DR: Not everyone learns best from textbooks. P.S. On a side note, textbooks can be a great source of practice problems.
    23
  3023. What?! The Math Sorcerer have a GED, I would never have thought so.This is interesting. I love your videos Sorcerer.I'm good in school but proving theorem has been a tough challenge for me that I want to accomplish.I love your book review also. Tank you from a French Canadian.
    23
  3024. Suggestions for beginners is always welcome!
    23
  3025. I bet every step mistake would account for one push-up in the military
    23
  3026. That trick with only worrying about what was inside the square root was something my Calculus book wouldn't explain to me. Thanks so much!
    23
  3027. Great opportunities for your children to just pick up a book and start learning math (like baby Terence Tao did from his father's library) 🙂
    23
  3028. This is gonna sound absurd but the way he explains things as a joke in this video makes sense than any math teacher who has ever taught me.
    23
  3029. Because they get cocky and underestimate the situation
    23
  3030. When you pronounced Genuine the other way, it is also correct as it is also a R&B singer from the 90s 😂😂😂 Great video!!
    23
  3031. Rising from the ashes is such a true statement. My first proof based math class (linear algebra) I got a low D on my first big exam. We only had one more exam then a final as a grade after that, and I knew it would be near impossible to recover and get an A. The next two exams I got high As on them though, and I ended up skimming by with a 90.5 percent in the course (I am so glad it was at community college and still counted as a 4.0 gpa then). So for anyone who fails an exam, it isn't over! You can make changes and recover. Good luck to everyone!
    23
  3032. use libgen
    23
  3033. Blitzer's Algebra & Trigonometry and Precalculus by Stewart are two of the most complete precalculus books. For Calculus, I'd suggest books from the usual heavyweights due to their depths. For college level, I found books from Goldstein and Briggs to be the most comfortable to read and understand.
    23
  3034. I just LOVE your math book reviews, Math Sorcerer!!! Saves me from having to do my own math book review videos with the books from my own private math library!! LOL!!! Seriously, though. GREAT VIDEO!!!! :) :) :) :) :) :)
    23
  3035. My absolutely favorite math book is a 3-volume series on differential and integral calculus by Fichtenholz. It's amazingly well-written and has great explanations for most of the beginner calculus (starting from series limits and all the way to functional analysis). I don't think it's been translated into English, though.
    23
  3036. The algebra one actually gave me a chuckle hahaha!
    23
  3037. I will check out that book at Open Library online.
    23
  3038. in this level, we will near to be a math sorcerer!!
    23
  3039. My MAT 275 professor did not really explain the difference between linear and nonlinear diff-eqns so I'm really glad I came across this video. Literally helped me understand this topic in 7 minutes compared to the 30 minutes or so he spent going over his pre-written notes during lecture on Tuesday.
    23
  3040. I just looked up how much the "mathematical proofs: a transition..." book cost... yeah, the lowest price i found was 105€ 😂😂😂
    23
  3041. My passion is English and mathematics. I want to learn English because I can read a lot of English books written in English and I can translate Spanish into my mother tongue, thanks for your videos, and sorry for my mistake, remember that I'm still learning English. Greetings from Venezuela
    23
  3042. I think it's important for all students to review first order logic. I always tell students in undergrad if they can read math their life will be easier. Many of the syntax or language in theorems/proofs incorporates this logic. Instead of glazing over words and symbols, students can start to gain an understanding of the beauty in theorems such as the fundamental theorem of calculus. First order logic spans other fields as well such as computer science and philosophy.
    22
  3043. Thank you so much!! literally learned a whole 1 hour lesson in 2 minutes, very simple and well explained.
    22
  3044. If you want a risk-free guaranteed return, just stop spending your money on stupid stuff, like eating out, spending $12 every morning at the cafe, alcohol, etc..
    22
  3045. Thank you! I love how excited you got when the dot product equaled zero!!
    22
  3046. "Tell ya what, just shoot me an email and I'll get back to you as soon as possible aka in 3 weeks when you remind me about the email for the 9th time"
    22
  3047. I am currently reading through the Cummings "Proofs".book. I agree that it is a bit "wordy" but that is likely because I already have a strong Maths background. Otherwise it is a great book for anyone who wants to take the next step in Maths and learn how to do proofs. He has the chapters and topics arranged nicely, he explains things well, and, I like the odea that at the end of each chapter he has a section where he introduces different topics in Maths. For example, at the end of Chapter 1 he gives an introdduction to Ramsey Theory.
    22
  3048. My favourite subject is mathematics
    22
  3049. He is one of the best and humblest guys with zero ego!!! Wish we had a Physics sorcerer too
    22
  3050. i have started the topic on iterated integrals today and after hours and hours of not getting anything, you are saving me
    22
  3051. "Methods of Mathematical Physics" by Courant & Hilbert
    22
  3052. As a grad student working in PDE, I feel like Strauss’s book is pretty good for getting intuition and is a pretty solid introduction. If you have analysis background (say baby Rudin at least, but preferably measure theory) then Evans is the gold standard.
    22
  3053. I have a degree in Economics, but my passion always was Mathematics, so now I'm doing a second degree on pure Math, and it's really hard to pay de bills and I have to put in the extra effort to have enough time to do it but doing what I love is an enough reward.
    22
  3054. Very basic book
    22
  3055. okay here's maybe a piece of cool advice that ive been developing recently: do the work that you don't think you can. i've been thinking this for a while and a prof in grad school just told me this exactly. smart people have a higher barrier of entry on what problem they might attempt. spending time with the hard questions and doing them anyways is one of the quickest ways to level up from my experience. may not be helpful to your specific case, but making sure there isnt anything you're really shakey on is a good start i find
    22
  3056. always wondered where that equation came from, turns out it's not too bad.
    22
  3057. Great 2nd edition guide for learning mathematics (and great 1st edition)! I like that more algebra books are covered in this edition, especially elementary algebra books like that from Sullivan. I can't wait to receive my copy of Lang's "Basic Mathematics" next week! Great job! Impressive selection of books! Thanks!"
    22
  3058. I actually thought Calc II was the easiest of the three by a long shot. I had a really good professor though. The only part that gave me any significant trouble were the convergence/divergence tests for infinite series (I still don't understand the comparison test), but even those weren't too bad once you got used to them. Calc III on the other hand kicked my butt. I just couldn't wrap my head around working in multiple dimensions, parametric equations, polar/cylindrical coordinates, vector calc. You needed really good visualization and abstraction skills while my brain worked better with the pattern recognition emphasis in Calc II. I understand multi concepts a bit better now (trying to relearn a lot of it for complex analysis and machine learning stuff) but at the time I really struggled with it. It definitely didn't seem like "just Calc I in multiple dimensions" as I was told. From my peers I have talked to, typically most find one not so bad and the other to be the death of them.
    22
  3059. Thanks bro, This was my exact question on my calculus homework
    22
  3060. You should multiply 24 hours by 2, for example, and now you have 48 hours!
    22
  3061. Never underestimate other people's ability to waste YOUR time.
    22
  3062. Another banger of a motivational video!
    22
  3063. Damn the math sorcerer is RIPPED.
    22
  3064. Lo bonito de las matemáticas es que no importa el idioma, excelente vídeo, muy bien explicado, sigue así,. Éxito.
    22
  3065. I like how you’re mixing in CS books with Math books!
    22
  3066. I like math – a lot – but I cannot stand it when people tend to make a GOD out of some mathematician/scientest.
    22
  3067. Long wordy answers can be a problem in exams, as students often run out of time. Another thing (not directly relating to Alex's situation); I noticed, (teaching Physics) that, with numerical questions using data, students would often substitute values before doing any working, rather than doing the algebra with the basic equations, then putting in values. They would often write numbers with many digits, straight from their calculator, filling pages with arithmetic, increasing the chance of errors as well as making them much harder to spot. (This comment turned out more wordy than I intended! 🙂)
    22
  3068. Great, great, great video. I started my degree in Math at 43 and finished it at 47. It’s being one of the most deepest experiences in my life.
    22
  3069. Fun fact, -40°C=-40°F.
    22
  3070. I think he mentioned in an interview that he was 13 when he went to a library to check out this book when it came out. He had already studied the other books in the series. Feynman was a legend.
    22
  3071. The math sorcerer >= lex friedman^100 😅😅
    22
  3072. i can give you my humble like
    22
  3073. Love your vids man! So energetic and makes learning this way better!
    22
  3074. The Head of the Electrical Department at the University of Wyoming is Bryan Shader, a PhD mathematician! I never had him but I had 3 courses from his Dad, Les Shader, who was one smart cookie at UW!
    22
  3075. Same! 😅 Learning takes the same or less amount of work anyway!
    22
  3076. I'm actually learning topology in class this week and i'm in pain
    22
  3077. I wish I had a math professor like that haha
    22
  3078. 10-12 Hours a day may be too much unless necessary. Just like anything else, there is usually diminishing returns. One thing I do when I am feeling like i havent progressed or like I am lacking motivation is go back and do some questions I previously struggled with. It gives you confidence and motivation when you breeze through things you previously struggled with, and gives you feedback to know that your studying is actually paying off. Dont forget to touch grass and work up a sweat a few times a week atleast <3
    22
  3079. Probably going to study this after Terence Tao's Analysis 1!
    22
  3080. Your enthusiasm for Maths is infectious. love your videos!!
    22
  3081. This is so true for my situation in college. I’m a math & physics major 3rd year, and it’s very apparent that I struggle with physics a lot rather than math. I’m not sure why, but I never give up in those classes because I know its my passion deep down. I’m not as great as other people in physics, but I’ve definitely grown a lot since I was a freshman.
    22
  3082. Funny enough I did not so well in my basic courses, such as calculus I up to Complex Variables (intro to Complex Analysis), But for my more advanced courses I got mostly A's ... Perhaps knowing before hand, how much work is going to be required make us stop BS-ing ourselves and actually work. Ps: Algebraic Geometry is tough no matter what. Also, Real Analysis wasn't as hard expected, And Complex Analysis was WAY harder than I expected.
    22
  3083. Lmfao I wish I had a teacher that woud say. I KNOOOOOOOOW I forget to put the tail on a radical too! Instead of 2/10 you forgot to put the tail. Punishing you now will make it so you don't do it later. That's why I really hope I can bang out a math degree and teach one day. Having struggled, I GET IT!!! I need to hit the linear algebra texts again, I remember inverse matrix and having troubles on them. Linear Algebra bothered me so much! Not because it was "abstract" or hard, just the long computations, and lack of clear work area to put it in, made making these mistakes so common. Then you get super demotivated when you just have an answer and its wrong, but you have no idea where you made it, so you spend like hours redoing the same problem, or trying to follow the monster mess of a work in those cramped matrix spaces to find the algebraic error.
    22
  3084. thank the lord someone made a video on how to do the actual substitution of x dx because i could not make sense of that lol
    22
  3085. I'm reading Zill's DE's. I was pretty disappointed in the first two chapters. The text is poorly written. I really believe Furlow DE and Linear Algebra is the best DE book. Thankfully I have you to push me through the tough chapters.
    22
  3086. My class uses this book, I love it
    22
  3087. Have you ever considered turning these wisdom tidbits into a book? I realise that's quite an undertaking, but what a book that would be.
    22
  3088. Yes, you must practice! Whenever you learn a new concept in math, please practice because new mathematical concepts can have nuances. These nuances are not immediately obvious unless you sit down and do the practice problems. Take a simple example: say you learned PEMDAS for the first time. You might incorrectly assume it doesn't matter if you do the multiplications or divisions first and will get the same answer regardless. Take 42 / 7 x 3. The correct answer is 18, but if you did the multiplication first, the wrong answer of 42 / 21 = 2 would result. So, the nuance here is that multiplication and division must be performed from "left to right" and the same applies to addition and subtraction. Only PRACTICE will help you discover those "hidden" nuances! PRACTICE please!
    22
  3089. That's the best advice I've heard this day so far!!! You are my favorite math teacher that I NEVER had during my formal education, and just about NOW, I really wish I had YOU, Math Sorcerer, as one of my math teachers!!! :) :) :) :) :) :)
    22
  3090. So nice to see ur transformation great workout ur technique is incredible aswell well done one think I do recommend if you wanna progress more is to take longer break inbtween your set
    22
  3091. I can relate to this one — my interest in maths sparked "late" when compared to my classmates (at 21, after starting my UG) and even though I'm doing good, sometimes I wish I had been interested e.g. in math olympiads and similar stuff in high school. I feel like I've wasted time and I get impostor syndrome even though I'm not even in grad school yet (might start next year!). I worry too much about the future, too. But I try to think cold headedly about it and remind myself that my life path is unique, and so is everyone else's.
    22
  3092. I relate! My professors always tell us to start problem sets early so that we give ourselves enough time to process the problems.
    22
  3093. Those daily dosages of motivation are amazing! Thank you, Sorcerer!!!!
    22
  3094. Thinking clearly, not deeply.
    22
  3095. Right
    22
  3096. 🙄 i was barely gone for 2 days... TF did I miss?
    22
  3097. Is it possible to make a simple webpage (link included) with a flow chart of the math learning process from start to finish? 🤔🤨🤝 Great content.. 👍
    22
  3098. Can’t be bothered by friends asking math questions if you don’t have friends WeSmart
    22
  3099. Great advice. I got 97% in Calc I, and 95% in Calc II ... at a pretty reputable research university. However, my IQ is as average as average gets. So how did I do it? You clearly allude do it: brute hard work. I bought Thomas's Calculus - Early Transcendentals (14th Ed) [we used Hughes-Hallett in the classes; that's an excellent textbook too], I also bought Larson's 11th Ed. So, not only did I complete the exercises from the Hughes-Hallett book that was required for homework/tutorials, I went above-and-beyond the "call of duty" to do the concurrent exercises from Thomas and Larson. Each book explains the concepts slightly differently so it helped immensely. If you're not blessed with an IQ like Grigori Perelman or Terence Tao, and are more like me, then unfortunately, there are no short-cuts to putting in those hours of work ... but the moral is: those hours do translate into higher marks for sure.
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  3100. There's a huge difference between: "I Like The Idea Of Being A Maths Major" to "I Want To Be A Maths Major" That is what people have to contemplate. That difference, is the massive commitment to achieving it.
    22
  3101. It is really hard but I am not going to give up
    22
  3102. I was always afraid of math, I want my children to learn math and not be afraid of it.
    22
  3103. PRACTICE!
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  3104. Hello TMS, i was wondering if you had any upcoming videos on the math behind Computer-Science?
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  3105. Take developmental math, if it is available or if it recommended to you. I had a student a couple of years ago who discovered that she was three months older than me. She used that fact to motivate herself and pass the course. Whatever positive you can focus on, do it. Get to know your professor in office hours or after class. Don’t focus on your age. Focus on getting that piece of paper with your name on it. Good luck!
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  3106. Qué bonita dedicatoria, realmente se siente el amor a su esposa y su hija. I think that's enough to convince me to try to read it, and also seems really interesting.
    22
  3107. I hope it’s not too late for someone my age to learn and excel in mathematics. But I’m going for it.
    22
  3108. Sqrt-factoring only works over positive integers, since introducing i = sqrt(-1) already falsifies the premise by creating the statement x = -x AND x != 0. Contradiction. 🙃
    22
  3109. I think leaving calculus out of physics makes everything much harder and gives you no tools to work out simple motion problems. When I was 13 years old I read Gamov's "Gravity" which combines both at a very simple yet intelligible level. Got me interested enough to learn calculus by 16 self taught. I think you would be better off learning calculus with no physics and I was a Physics major my first time in college. I became a EE in the end. I like your math book reviews - cheers...
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  3110. 1966 is ancient history? I was studying Euclid's Elements at 14 years of age in 1966; translated by Sir Thomas L. Heath.Loved it.
    22
  3111. those eyes penetrate my soul
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  3112. Thanks for making this great vid! To improve my proof writing I took your advice and got myself a free, wonderful PDF book titled The Book of Proof by Prof. Hammack. What a treasure!! It's full of great examples, so many different proof techniques, lots of math problems with worked out solutions. Highly recommended for anyone who wants to improve their proof game. Especially if you like to self-study! 🔥
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  3113. Its been a month I am scratching my head around this proof I have on a lecture note. And it's been 4 years since this video been uploaded. I am glad I found it finally and I can actually make a good sense of it now. You are a saviour mate. Thanks and keep them coming.
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  3114. As a university level mathematician myself, I have to emphasize just how insanely genius you need to be in order to not only understand high level pure maths but be making breakthroughs in the fields, all without any formal education or access to mathematical textbooks. Its almost more impressive than anyone else because he did everything solely based on his own brainpower.
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  3115. Another cool way to "get paid" to learn math is to enter an "actuarial internship" program. Almost every insurance company and actuarial consulting firm will pay you to study for the many actuarial exams. For example, when I entered the program many years ago (I'm now retired), the company paid me for 120 hours of study time per exam.
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  3116. Thank you kindly for your very encouraging and beautiful words. Math, Chess, Physics and Programming is so wonderful for our brains.
    22
  3117. Thank you for uploading this video! I always love your advice, and this one fits perfectly for me.
    22
  3118. I think it's really ironic how the applied calculus textbook contains no trig yet the structure on the front cover art strongly resembles sin and cos
    22
  3119. I needed to hear this workinh on mastering algebra and getting in best physical shape in mid 40s.
    22
  3120. Damn all those books that I wish to read, I wish there were 84 hours in a day for reading.
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  3121. I have bought a second-hand copy of the book today on the basis of your review in this video - particularly the examples of epsilon-delta limit exercises you showed - as that is a technique I have always struggled with. Hopefully the worked examples in the book will give me a better understanding how to tackle basic limit questions.
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  3122. As a tall person, I can confirm.
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  3123. I just want to say that I truly appreciate what you do for the math community, especially for those who may not have good access to a quality mathematics mentor.
    22
  3124. "What one fool can do another can"--Sylvanus Thompson CALCULUS MADE EASY
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  3125. I have been around for quite some time, I want to say thank you for every bit of knowledge you have me and still give me, you are truly the best you deserve all the good in this world...Thank you !
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  3126. Hello, I'm self-studying topology and I find this video extremely helpful, thanks. Though, I hope you would present in future videos more intuition as to why we choose to define things in some particular way, rather than any other way. I think that would be even more helpful.
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  3127. I agree. College may not seem worth it in the beginning. However, as time goes by, certain employers will start to demand at least a Bachelor's degree from their employees. Also, the experience of going to another city, state, or country to attend college helps you immensely in developing as an adult. P. S. Also consider community college.
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  3128. I gain zero experience when I'm sick. Man, I hate getting sick in the middle of the semester.
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  3129. Ive had 2 professors that have worn a suit a long with that cap. That's how you know you're good at math if you wear that cap😂. Only the smart math professors wear those caps lol
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  3130. I've always thought that difficulty is judged by the amount of time necessary to dedicate for understanding. It becomes stressful when you are given a time limit on top of several other tasks that dilute your concentration (which is particularly troubling in undergrad). It's not fair to tell yourself a problem is too difficult for you to understand, only that you don't want to dedicate the time. "Suffering is good, it prepares you for life" - My physics prof at the end of my last undergrad physics lecture
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  3131. Every computer science book on this channel is a reason to me set off fireworks
    22
  3132. Math Goggins be like!
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  3133. I love this. I want to get this book just off of how readable it looks. I would love to find more physics books like this.
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  3134. This may be off topic but could we one of these days get a run down of your library?
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  3135. Very intriguing. I would love to see a Logic/Proof book from you someday, if you ever made one.
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  3136. I'm a Brazilian medstudent, but I trying to learn math as a hobbyist and would love if you bring more book on learn to write profs
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  3137. Stephen Smale and Yitang Zhang are two notable/remarkable mathematicians that have, at some point in their life, had academic troubles but was able to produce notable/remarkable mathematical results. Stephen Smale performed poorly in graduate school and almost got kicked out. From Smale's Wikipidia page: "Yet again, Smale performed poorly in his first years, earning a C average as a graduate student. When the department chair, Hildebrandt, threatened to kick Smale out, he began to take his studies more seriously. ... In 1958, he astounded the mathematical world with a proof of a sphere eversion. He then cemented his reputation with a proof of the Poincaré conjecture for all dimensions greater than or equal to 5, published in 1961; in 1962 he generalized the ideas in a 107-page paper that established the h-cobordism theorem." Yitang Zhang had trouble finding an academic job after getting his PhD. There is even a 11-12 year long period in his life where he stopped publish. From Zhang's Wikipedia page: "... Zhang had trouble finding an academic position. ... Zhang said he did not get a job after graduation. ... my advisor [Tzuong-Tsieng Moh] did not write me letters of recommendation. ... Prior to getting back to academia, he worked for several years as an accountant and a delivery worker for a New York City restaurant. He also worked in a motel in Kentucky and in a Subway sandwich shop. ... On April 17, 2013, Zhang announced a proof that states there are infinitely many pairs of prime numbers that differ by 70 million or less. This result implies the existence of an infinitely repeatable prime 2-tuple, thus establishing a theorem akin to the twin prime conjecture. ... The proof was refereed by leading experts in analytic number theory. Zhang's result set off a flurry of activity in the field, such as the Polymath8 project."
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  3138. Sir, I am literally thankful of this channel and your existence. Thank you!
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  3139. In HS I was pretty good at math, but I thoroughly hated it. In senior year I was taking calc 1. Two years have gone by and now I’m self studying. My goal is to get to calc 2, honestly because I love the visual aesthetics of infinite series functions. I also plan on entering engineering school soon too. I’ve got a long way to go though, because I’m fully and thoroughly refreshing my skills on trigonometry. I’m going to do pre-Calc, and Calc 1 again too. I definitely look at math differently now than I did back then. If math is the language of the universe, than it is one that I wish to understand.
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  3140. This makes 30x more sense than my lecture from class, thank you so much!
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  3141. This looks like another one I would like to read someday. I am about halfway through another old calculus book you reviewed: "Calculus Made Easy"; it's helping me quickly pick up Calculus again after having not studied it in 10+ years. The older books definitely have some interesting content.
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  3142. here after I'm done with my math quiz and only got 3/20. I'm really devastated tho cause it was probabyly the easiest test, I try not to cry and think to myself I will try harder nex time. Thankyou for this, I think I needed to hear this.
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  3143. Some do say these things. Usually its the 1 class douche bag who studies 15 hours a day and has to show of by showing he understands everything to others.
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  3144. Imagine you look back on high school math. Don't you think they appear so easy to you know? Training can drastically change a person's brain. When I study the calc 2, I found many things tedious. After two more years of college, all the skills I learnt from calc 2 like taking integral, proving convergence, and generating power series becomes instinct. I am grateful for all the work I put in and the improvement it brought.
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  3145. Mathematical finance sounds interesting. Never had the opportunity to be exposed but I will look for this book. I always look forward to your videos to be exposed to either new ideas or new ways to learn mathematical concepts I have seen before. They layout is clean. Is it a reference book or is it for teaching the subject?
    22
  3146. The existential quantifier. You only have to prove that there exists AT LEAST ONE case in which the function parameters equal y (the codomain). (0, -y) is just one case which proves this. I did it with (y, y) which works as well.
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  3147. Learn to manage time is one of the best skills you can ever learn
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  3148. Learn to enjoy the process, and shoot for your goal. The process brings satisfaction.
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  3149. I think my greatest math accomplishment is that I learnt Calculus when I was 14, and did the whole thing myself without any teacher(by the grace of God), and now I can solve almost all Calculus problems. I am average at Math, and when I look back at it, I feel happy. Edit: I know it is a very small thing compared to all the accomplishments of other Mathematicians, but I am only 15 and this is the only Mathematical achievement of mine!
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  3150. Ahora que se que hablas español te dejo mi agradecimiento, motivacion para estudiantes de matematica, literalmente eres el primero y te necesitabamos tanto!
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  3151. Honestly, my reason for starting self study in math was boredom. Algebra was something new and I was really surprised I could do it. Algebra has turned out to be easier than I thought. The computations in algebra are easy. I don't say that to be arrogant or appear better than I am at something. So now I'm going on to Calculus for a challenge. My reason for it has changed because I'm going to take online math classes. I got a text/message about his Instagram, but wasn't sure if it was really the sorcerer on Instagram or scammer using his name on a fake page. But he says in the video he has an Instagram so its probably its him. I suggest people live their life how they want and do what they want so they don't have regrets. We are not getting any younger. Yes, you might be 50 by the time you get the degree, but you'll going to be 50 anyway regardless whether you spend 4 to 5 years in college trying to get the degree. So go for whatever you want if you think its best for you. Life goes by too fast and you will never get time back.
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  3152. 😆 Discovered Chris McMullen's book's just a few days ago. It seems most are included for free with a kindle unlimited subscription.. ( not plugging anything here ). Anyway, Santa is bringing me a scribe tonight so I'm gonna be enjoying those books tomorrow on my new reader. Merry Christmas everybody! 🎄🎄
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  3153. Omg, i needed to hear this! Thank you so much
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  3154. As a math major, I went to an interview once at an aerospace corporation. During the interview the guy, a PhD in math, was looking over my resume. He said, "I see you've taken topology." "Did you like topology?". I said, "Sure". Then he preceded to talk about different aspects of topology and how much he like it, and how useful it was in understanding analysis, etc. He then asked me if I would like to assist in doing research in topology. I thought that was rather strange, but since he was so enthusiastic about it, I said, "Sure". He then responded, that's really too bad, we're an aerospace company and we don't do topology here." "Perhaps a university or similar institution would be a better choice for you." "Thanks for coming in." I really felt tricked on that one.
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  3155. A lot of wisdom from The Math Sorcerer! Thanks for sharing your thoughts and helping students like me succeed in education!
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  3156. That makes much more sense, thank you!
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  3157. GOOD, STAY HARD!!!!!!
    21
  3158. Fine, I'll bite... Goddamn you, Math Sorcerer! I can't stop buying math books now! I'm studying lots of math this winter.
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  3159. He has a wizard hat and is doing black magic on the board....genius!
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  3160. These tips can be applied to many of my classes not just calculus
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  3161. Let's be honest, studying 20 hours per week is not enough, it needs the almost the whole week. And restrecting the time of studying is so bad because everyone needs a different number of hours to understand some subject .
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  3162.  @TheMathSorcerer  SAD BUT TRUE
    21
  3163. I would highly recommend getting a free pdf book by Richard Hammack titled Book of Proof.
    21
  3164. the angel of knowledge is talking, listen
    21
  3165. Actually the people who get filtered out of our lives while we are on the road to success need to be filtered out. So that's not exactly a sacrifice.
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  3166. Another excellent problem! This lesson helped me organize my understanding of the quadratic formula.
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  3167. sir can i become a mathematician if i completed all books perfectly which are recommended in your channel? because i ❤ math....
    21
  3168. Karl R. Stromberg, An Introduction to Classical Real Analysis, is by far one of the most ample books in analysis. It has everything.
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  3169. This piece of advice is unbelievably useful for me, thanks a lot for making this video. People have considered me a gifted kid, because i could pass all the tests without really studying for them, and now when i got to the applied maths faculty of one of the best universities of my country, i can not really understand stuff as easy as i could in school. I hope i can get better at this some day :)
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  3170. Essentially, I learned Variation of Parameters entirely from this video (during quarantine). Thank you
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  3171. I don't think I had a burnout in the sense of being so sick of math. But I feel like if I have any emotional shit going on in my life, it's impossible to focus on math, since it requires a lot of attention and a clear mind.
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  3172. You will never believe how incredibly helpful this was. Thank you so much, sir.
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  3173. If I keep taking your advice on math books I'll be a math wiz in no time
    21
  3174. Do you think this new strategy for solving quadratics would be taught as the standard for now on? In my opinion, it seems easier for students to understand than remembering the quadratic formula.
    21
  3175. ​ @TheMathSorcerer I'm actually relearning Calculus after a decade and I'm from a non-STEM background. Your videos actually gave me most of the information that I needed for the right set of books.
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  3176. I don't know how you do it, but every advice video that you create boosts my moral ten fold. I really needed this during exam season. You are truly a man to look up to sir.
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  3177. His kind of curiosity is a precious treasure. Teachers, librarians and museum educators can be great for guiding that curiosity. My advice is to keep asking one of them after another, after another, until someone can either give you a good explanation, direct you to a good video, book or article, or ideally all of the above! You might have to visit a college campus and ask the professors and librarians there. Oxford University Press has a nice "Very Short Introduction To Algebra" book you might like. 👍
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  3178. I had kidney stones the day before my gre.. Had to NOT take the painkillers the morning of the gre because they make you drowsy. My test experience was sub-optimal. :( Still remember it.
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  3179. This was the text I used in 1978. Great text. Just dug it out, first edition. I love old texts, as it reminds us that folks have been studying (in some cases struggling) with these topics for centuries. There's nothing better than the smell of an old text.
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  3180. I just started with Arithmetics... what a great time to watch your video ❤
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  3181. Life would have been easier if you'd have been my colleague pal to start with Your love of math is almost surely Contagious
    21
  3182. Jeff Bezos seems a lot more likeable with long hair
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  3183. "Smells like mathematics." Love it.
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  3184. I think calc 2 is the most difficult because of the number of new topics introduced. Series and sequences are barely introduced in the precalc, and in calc 2 you go pretty hard on them. Polar coordinates are also introduced for the first time. Last, which I think is the most important, is that you are starting to learn how to set up the problem more than solving the problem itself. In calc 1, it was usually just taking the derivative or integral and you're good to go. In calc 2 you have to think a bit harder on how to set up the disk and shell method. Setting up the sequence is also difficult because you can have multiple right answers.
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  3185. Hello guys, Seems like something great is cooking. Can I join the party? I'd love to be part of mathematics group.
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  3186. "El que madruga, Dios lo ayuda". So true.
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  3187. The Math sorcerer! Thanks for getting me into math!
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  3188. This one girl in class told me she had to take physics to be an Ultrasound Technician. It didn't sound right at first, so we double checked her degree plan, and General Physics is totally different from University Physics, which is calculus based. As soon as I finished College Algebra, I jumped in the CAD program. I begin in one month. The only down side is that all the pre-cal and upper math courses, I'll have to wait until my 3rd and 4th year, so I began self-studying trig and some precal to be prepared, actually, that's how I ended up here discovering The Math Sorcerer's channel haha
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  3189. The part where you said "you're not giving up, you're only going in a different direction" struck hard. Amazing! And sorry for commenting so late, our timezone difference is absolutely crazy!
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  3190. C is the only language you ever need to know, even as a mathematician. Plus you can know this language in and out. I'm glad you reviewed this legendary book!
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  3191. As a physics student it definetly is linear Algebra in my opinion.
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  3192. Sir did I told that you saved my life more than infinity,?
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  3193. One thing that's starting to happen to me is a kind of anxious curiosity. I have a question in mind. How far can I understand? That question pushes me, makes me enjoy every little achievement I get. After a lot of self-sabotage, I decided to start studying math. I am somewhat older (45 years old) so I had many doubts. But with each concept that I understand, I see more closely the possibility of going to college. Either way, whether I get it or not, I'm sure it will serve me well in life. That passion you speak of grows more and more every day. And it makes me stay focused, forgetting a lot of the problems that I have. Thank you very much for your videos, many of them have encouraged and helped me. A hug. Un abrazaken tamaño kraken 🤙
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  3194. I'm currently done with my classes and all that is standing in the way of me getting my masters is the thesis but I have been lacking on motivation to work through it... this was perfect timing, I appreciate your videos man
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  3195. I'm still somewhat young, but am hoping to go to waterloo for math. I found an old calculus book a few days ago (also has some linear algebra stuff in it) and have been going through a chapter a day. Taking 2 to 3 hours a day and just going through the stuff during winter break has just been cathartic. It's always a pleasure to learn (or relearn) a skill -- I felt euphoric after figuring how to integrate by parts this morning :)
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  3196. I think Mathematical Master is not really a title - it just means he was a math teacher at that School
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  3197. It's definitely worth it. Setting "Daily Minimums" keeps you moving forward and making progress even though you "just don't feel like it" certain days. It's like you said, how can you say no to 10 or 15 minutes? Then that all adds up and after a week or two you've knocked out a section or two of your Algebra or whatever. It's even helpful to have multiple levels of minimums, IE say you want to proceed at a certain pace you feel like you need to do 2-4 hours a day. Ok, there will be days or weeks even where things come up and you just can't commit to that for some reason, but if you force yourself to do the 15 minutes significant progress will be made despite your inability to schedule.
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  3198. Sorry, what I had meant to say was, it’d be nice for you to branch out in terms of advice for different fields of study that tie in with Mathematics, anyway have a good day!
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  3199. "But be doers of the word, and not hearers only, deceiving yourselves."
    21
  3200. Thank you for giving such a great review of a cal 1. I am in Cal 2 right now and I haven’t taken cal 1 since two years ago this help me remember a lot
    21
  3201. The most important sentence for me was "It allows us to compare two datasets when the units are different". Thanks!
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  3202. I've been doing a lot of what you say for a long time, but it's much more important to remember it every now and then. Now that I'm studying again at 40 and learning software development in the 2nd semester, it's a very good reminder. Thanks a lot for this.
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  3203. Hey man I love your content. You have helped me out with so much over the years. Cheers!
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  3204. Definitely could have used this workbook 30 years ago. I'm glad all these resources are available now.
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  3205. ** Ramanujan enters chat **
    21
  3206. "I love integrating using definition of an integral"
    21
  3207. this video was made is 2015 and you're still replying to comments. I really admire that. Thank you for this video. a lot.
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  3208. Thank you Math Sorcerer for the content. I've been interested in maths for a long time even though I did poorly in my math classes in school. Yours has been one of the voices of encouragement for me to practice math again. I especially enjoyed some of your recent computer science book episodes as well. Thanks for all the maths!
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  3209. thank you sorcerer, I will push myself
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  3210. Pre-Algebra and Topology on the same stack is shocking :)
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  3211. Finding your reason for doing what is hard, what others do not do because it is hard, is essential. I agree. Like finding your bliss. A good driving motivation creates a perpetual engine that allows you to tap into the deeper part of yourself. That extra bit of grit. Many people do have a "why", they may not be able to express it. Find it. Clarify it. Knowing what is driving you provides that extra, endless drive that you can tap into when you really need it. Thx for the video.
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  3212. I have seen people who focus on learning without focusing on grades lose out on a lot of important opportunities. One must try to maintain a balance at all costs. Sadly, this system of education is such that only focusing on grades keeps you better off than only focusing on learning. One must needs do both.
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  3213. My mother despairs when she sees my collection of books. She sees me as a book hoarder.
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  3214. This question is a little peripheral to the discussion but could you make a video that talks about how mathematic research is accomplished? I can visualize how research is done in the physical sciences (hypotheses, lab experiments, data, etc.) but how do math grad students find a problem, develop research and write a dissertation on the subject?
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  3215. My father used to buy Soviet math and science books during his school life till he was 15. After that they stopped selling due to internal issues in the nation (it was 1987 they stopped selling). He always preferred them over our nation's (India) books as they were always a sixth of the price of Indian books. And they had an explanation for pretty much every single type of question. And the paper quality was also better. rn I only have a rare chess book from USSR which is the only one that has managed to survive the 80s, 90s, 2000s,2010s and Covid.
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  3216. To the people saying he did it backwards by finding the estimate first.....welcome to analysis.
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  3217. I completed the McMullin Prealgebra workbook. I got about 79.3 % correct. But I probably would do much better on it today. I have 10 out of 16 chapters in a prealgebra textbook complete and have about 93% correct so far. But I did like the prealgebra workbook by Chris McMullin and I plan to order his other workbooks. I probably didn't have to start with prealgebra when I started getting into doing math.
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  3218. Would you do a similar video about economics? I'm really interested in microeconomics.
    21
  3219. Lol I'm slowly becoming addicted to this guy's videos. :D Go on m8! Even though I'm not into maths, I mean I like it, but I'm too lazy to deep dive into it. Can you make a video on taking notes on paper vs taking notes digitally on iPad with stylus?
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  3220. Interesting that you mention speed, today I realized how doing the yoga asanas a bit faster ( I usually go to a slower class) actually helped me to accomplish new things. I'm a cronic slow person lol, I'm going to take your advice and work on improve speed and I'm not referring only to Maths.
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  3221. It is never late to study anything 👍🏻👍🏻👍🏻👍🏻
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  3222. Best channel in history
    21
  3223. Basically, you're a math major if you survive real analysis lol
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  3224. I’ve been thinking a lot about this topic lately…This video couldn’t have come at a better time! The advice you shared were exactly what I needed right now. Thank you so much ,it really resonated with me. 😊
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  3225. For people who come here the first time, this is a motivation channel disguise as math channel :) Thanks Sorcerer, I will start to re-study my statistics :P
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  3226. That’s the exact feeling I get after being stuck on some problem for days then developing the intuition to invent an approach to solve it. But then it turns out that everything I’ve done so far is incorrect due to one wrong assumption and now, my solution belongs to the garbage. Then I start doubting my abilities. My life is a rollercoaster.
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  3227. As someone with social anxiety I tend to procrastinate on anything that involves having to communicate with people, especially applying for uni or a job since it also involves the fear of failing or not getting accepted. Recently started applying for university and getting over the anxiety of speaking with people and being afraid on not being accepted.
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  3228. Oh man. I really needed this explanation.
    21
  3229. Advice from an Old Greybeard, "It is critical to learn from your mistakes, but it's better to learn from other's mistakes."
    21
  3230. Cool video idea. I like teaching methods like this because it really engages and taps into students' perceived misunderstandings.
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  3231. I had a very similar high school experience, grew up in a not so great neighborhood and unfortunately there was not a large emphasis on school in my household. It actually got so bad that I had to go to the counselor's office for them to analyze what my issue was. My counselor asked about my plan and what I intend to study and when I answered astronomy and science, she was baffled. She looked at my high school transcript and mentioned I needed pre-requisites, however she was willing to waive them on the condition I attend class. I received an A- in my astronomy course and graduated.
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  3232. You’re the Bob Ross of mathematics. Thank you so much for this video!
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  3233. Yesterday,I was in fact looking for a book like this to start relearning mathematics throughout your channel. Luckily, you uploaded this video. I hope it will be of great help to me. Thank you.
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  3234. The correspondence between differntial equations, orthorgonal functions and vector spaces was a gigantic "AHA!" moment for me. It tied together so many pieces of Classical Mechanics, Electrodynamics and Quantum Mechanics into a unified mathematial framework.
    21
  3235. Problem is 11x-7 but title is x-7
    21
  3236. Your enthusiasm in this video possibly made me whole week You are fantastic!
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  3237. Electrical Engineering is very hard. Advanced level physics, calculus, and real world stuff in every problem.
    21
  3238. Math is: learn a pin number by heart to buy food no math: climb up coconut trees and get'em from 1st hand
    21
  3239. Boy, I wish I had you as a math teacher when I was a kid. I got about 98% of that, first time through, and I haven't had a math class since 1993.
    21
  3240. This is THE greatest book on undergraduate analysis I've seen
    21
  3241. I couldn't pick just one myself so here I am with a CS/maths double major... Maths is the one that is slowly becoming more interesting to me (although the mathematical parts of CS are also very cool), but the job opportunities that CS provides seem more secure to me.
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  3242. I absolutely love this book. I learned math in a sort of backwards way, since I was a part time student and part time courses were very limited, but the math department decided I could just take whatever course I wanted as directed study - pick a book, no classes, no lectures, just read and come and ask questions. I started with abstract algebra and absolutely loved writing proofs. I then took a summer course in calculus - two weeks of all day classes. (That was my vacation from my job.🤣)Talk about cramming. I barely passed it. Then I did directed study with this book and loved it because abstract algebra and topology were all about writing proofs, so this book was exactly what I was used to.
    21
  3243. "There is no royal road to geometry" - Euclid
    21
  3244. I tell my students not to cheat above your ability.
    21
  3245. amazing, now I'm gonna "not want to do math" three times a week 🍕
    21
  3246. I have a bad trait. After answering a test question, I don't like to check my calculations, even when I have time. I would like to change that, but I can't.
    21
  3247. I find peace in the stars. When I feel too bad about things, I go out and look at the stars, and they remind me that everything is just floating in space, and the stars keep burning without a care in the world.
    21
  3248. Thanks for this, I actually wanted someone to tell me that math is hard and it takes time. BTW Ramanujan did struggle with maths when he went to Cambridge for publishing his works and was told to attend classes.
    21
  3249. This describes me when I started studying some math in quarantine before getting into college hahaha. Awsome video! (By the way, tomorrow is my first day)
    21
  3250. Dr. Please make a series of 6 - 8 videos on how to generate the spark of interest in mathematics among small children and toddlers. It will be of great help.
    21
  3251. It's really cool when people talk enthusiastically about math! That makes all the difference !!
    21
  3252. I am so glad I found this video. Also grateful to that person who asked this wonderful question. I am going through almost a similar kind of problem. I am doing a lot of problem solving but I feel like I haven't reached that level where answers or hints would naturally come to your head. Solving lots of problems or seeing the answers won't necessarily allow you to reach that level cause it's not about solving similar problems, it's something else. I couldn't figure out what that "something else" is till now. Thank you so much. Both of you.
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  3253. I'd say that if you can visibly see the time you are studying or focusing on something, it makes you aware of how much you are focusing on something. What I mean is that rather than knowing that you studied for a half an hour, it is better to know how many seconds you spent on to crunch in a specific fact. It sort of make the process of studying more efficient too. Because you are trying to save time and you try to increase the reading speed as well. If i am reading a book, i segment the paragraphs to smaller pieces to ensure that i understand it is much as possible. Probably this related to mostly studying rather than focusing. BTW a great video, sir👍
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  3254. This is honestly amazing advice but the simplest advice is to keep trying to work on your craft. As someone who is nearly 20, this video hits hard.
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  3255. I do a lot of math, but I also view myself as excessively lazy because most pursuits seem frivolous to me (e.g. buying cars, social media, etc). Very few things can sustain my interest like math and physics. This isn’t to say I won’t take a Tesla or denounce my fame if either befall me, but I don’t have the intrinsic motivation to chase after such things. In a sense, I’m a minimalist. Actually, now that I think about it, my wardrobe repeats the same items of clothing to simplify my life, which is something I haven’t really thought about. I have 6 identical shirts, for instance, in 2 colors (gray and blue) and I always switch from one to the next. If they run out, I then proceed to another set of black shirts. If those run out before I’ve done my laundry, next is a set of (not unique) green shirts I got when I was in college. My girlfriend bought me so many fancy clothebut I don’t wear them because I don’t want to have to maintain a “look”, save her special occasions (I rarely celebrate holidays because it’s too much to think about). I’m a simple guy 🤷🏾‍♂️. Maybe too simple 😂
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  3256. I had this as my textbook for my discrete math class. One of the few math textbooks I've ever really liked!
    21
  3257. Problem for me is making new math friends. Talking about math or statistics tends to be a buzz kill on a date. And it doesn't help talking about Ada Lovelace.
    21
  3258. I highly recommend using a tablet to write on. For me it really changed the game. So much easier for graphing by hand, easy to write on, black paper with white pen so that i dont hurt my eyes sitting up late at night. And the storage of notes becomes so much easier. No more big binders of loose paper that you are never going to look at anyway, but if you're stuck and want to refresh your memories on how you solved a problem you can easily go back and look. And you just feel cool writing on a tablet. It's also nice that i can just turn in my papers as PDFs for assignments at uni right from the tablet without having to scan anything.
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  3259. Recent years many students are like: I want to go for CS/economic/AI/Financial or something like that, so I take a math/physics major. I think they should watch video like this one. Don't be over greedy, don't overestimate your energy, consider some extra cost of this niche approach. Yeah it's not mandatory that math students have to make a living by math afterwards, but if one doesn't have such willing to go for math, it's hardER to survive. By the way what's the connection between Finance and Physics? I just don't get it why people say Financial people prefer physics students.
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  3260. Amazing example. I have been looking for an example on annihilators all over and of course you always come through! Thank you sir.
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  3261. I'm 24 years old, Actually, I'm very frustrated with my lack of math..., I'm very interested in math but I can't really and something is forcing me to pull back from math. But anyway I love Maths.., My life-saving advice for me, (The Math Sorcerer subscriber and Math lover)
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  3262. I do not have a choice. The only time I have is the night, after work. What helps me is coffee.
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  3263. When you just love math just because of how beautiful the notation is😁..and when youve work for 40 hours on math problems and you can hear the blood flowing in your brain😁
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  3264. LEEETTSSSS GOOOOOO
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  3265. Being a tutor is such an underrated and powerful job. The pay wasn't even the best part, but the base knowledge you acquire from teaching something to somebody, For my chemistry degree, tutoring has really helped me out in my core upper level chemistry classes as my fundamental skills were very strong, and I truly value that.
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  3266.  @TheMathSorcerer  Haha, in India no one buys hardcover books. Hardcover books are crazy expensive. The hardcover version of Munkres book is around 108 American dollers in India while the softcover version is only around 7-8 dollers. I think its because most of the hardcover books are imported from abroad while softcovers are printed in India.
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  3267. Well, I tried. I'm still alive. Not dying yet.
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  3268. Fun problem. The kind of problem that a student may look at, and since they haven’t seen a nearly identical problem, might lack the imagination to get the answer as simple as it may seem once the process is shown to them. The other thing I have learned from you? It doesn’t take all kinds of expensive software and video editing tools to make a brilliant math video. Your videos are perfect just as they are, pencil and paper still rules! (and, yes the Dixon Ticonderoga cannot be beat. I bought a box of Amazon brand pencils at a great price. Worst purchase of my life. I left all of them on the table in the math office. I’ll stick with the best.)
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  3269. Anton: "Here are the 100 axioms from which the entire field of linear algebra may be derived. We'll leave it as an exercise for you to derive them."
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  3270. These days you could say : "BETTER to be a jack of all trades than a master of none!'. Be careful of aphorisms, many times they seem like they contain wisdom, but they can lead you astray. Best to learn aphorisms in pairs, where opposing 'truths' are exposed for what they are... Opinions and perspectives.
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  3271. Taking a break and coming back later is sometimes the most important thing one can do. Once, when I was studying Probability Theory, there was a statement in my text that was given without proof. It just kept bugging me as to why the statement should be valid. So, I decided to set out to prove it. I began working out a proof and I was on the right track but something eluded me and I wasn't able to complete the proof. So I kept at it for hours and hours, thinking and rethinking, trying variations on my approach. It was late, I was tired, I couldn't stay away, and I had to sleep. So I very reluctantly got up and went to sleep and fell asleep thinking about the proof. When I got up the next morning and I started working on my proof again it kicked right in and I was able to complete the proof quickly. Everything made sense. This has happened on numerous occasions where taking a break actually worked on my behalf. I am sure anyone who has ever done any serious math has experienced this phenomenon. Nonstop thinking and rethinking is not always the best approach. Allowing for a break and coming back to the problem later can often make a world of difference and can make the difference between success and failure.
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  3272. it's very very helpful, in my country they don´t understand this stuff very well, however they try to teach it, but it´s wrong and that leads to a lot of misconceptions in this formal math language. thanks ill teach others that don´t understand neither English and maths, for sure.
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  3273. literally the most "to-the-point" video on this! Thank you for the great refresher!
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  3274. Every time I get a math/physics book with crazy stuff that I just don't know about (like what you mentioned in the video), I'm always like "I need to learn this $h!t."
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  3275. Today's payday, and I get paid 3 times this month instead of two. So I decided to treat myself and I just purchased all of these for around $20-ish dollars each! Thank you, and please wish me luck!!!
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  3276. I wish that was my teacher. He looks so enthusiastic.
    20
  3277. The day we think we know everything about some field of mathematics, our growth and development stops. Even some professors call themselves students of mathematics.
    20
  3278. They missed an opportunity by not naming it "The Lord of the Rings", or at least "The Mathematician of the Rings" 😉
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  3279. I mean, you can't really force yourself to do so. I was preparing for almost 4 years of laziness just so one day think "wow I'm wasting my life", then within one month I defined my goals, take actions and started to be positive about my life, my future, my skills... I had no idea how I became like that from the blob-state I was before
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  3280. These are definitely my favorite type of videos you make. Its always good to be able to get honest reviews about a large set of books on various topics.
    20
  3281. I'm starting my own journey,my goal is to become an engineer. Your videos are really helpful,thank you!
    20
  3282. This saved me a lot of frustration in my complex analysis class, thank you very much friend!
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  3283. Your theories absolutely make sense. Sometimes I think I'm totally done so I have to open a question on math stack exchange. But when describing my problem, sometimes I find myself just suddenly realize I can finish that problem on my own. Why? When finishing the description, I was forced to organize my idea into easy-to-understand words, and sometimes it simply helps myself understand everything.
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  3284. what helps being focused is maybe writing exactly down what your goals for the day are. But those goals should be split in minor digestable ones so that it is not overwhelming
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  3285. Thank you for your videos. I'm a math major, but most times I feel "inadequate" at math, like I'm too stupid to study it. Your videos help me regain some sense of positivity and hope that I might do well by changing my mindset. So again, thank you for bringing positivity to this side of math! We need more of that
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  3286. My collection of math books is quadrupled since watching your channel. Don’t forget there is a companion answer guide for Spivak.
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  3287. I struggle taking notes with books like this. I never know what to note and end up copying the book inefficiently.
    20
  3288. Thank you! This was so clear and easy to follow along!
    20
  3289. I don't know why these books look like candies to me, so pleasant to look at.
    20
  3290. Behind the scenes look at 9:03.
    20
  3291. The Feymann technique is very nice since I have implemented it. Any math subject I find challenging, I learn myself and then provide tutorials on that which makes me confident as a math person.
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  3292. Back when I was in elementary school I was the best at Math in every class and loved it. In middle school I ended up moving to Charter school since I had trouble with attending class regularly and basically had to teach myself Algebra which made me fall off extremely hard and made me hate Math. I went out of my way to fail Math classes but still did extremely well in science classes because I had no trouble with the math. Last summer after 5 years of feeling sorry for myself and being on the wrong path in life I took a gamble on going to community college with a stretch goal of Electrical Engineering because I love electronics and love physics. I was initially really put off because I figured I'd be starting from the bottom of the barrel in remedial Algebra but took a chance on a trigonometry class with an on the side online class to help catch me up. It was amazing just how quickly my worries went away, I hit the ground running and just fell in love with being able to see a problem and use my brain to work out the solution and I love Math now. What made me change my opinion about Math was probably just simply that I wanted to be there. I struggled bad at first and asked questions that made other people in the back of the room giggle but I talked to my professors and I went into every class with a smile and gave my full attention to the art on display.
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  3293. Math teacher here. Here's one that you should never ask - the age-old: "When will I ever use this?" It's such an old and tired question that I think most students don't really care if there's an answer or not. Also, most math teachers realize that there are so many connections between math and "real life" that it's a legitimately hard question to answer. I usually just say something like, "When? How about right now? You're going to use it right now on this problem set. How's that for relevance?"
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  3294. Zero motivation is related to social isolation in pretty much case. If someone's life is under depression, that student may not focus to study even if he ore she wants. To study hard, I think stable situation(especially emotional) is needed.
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  3295. Loving the videos about old books. Please keep making them. Seeing old books is kind of inspirational.
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  3296. I love the idea of cursive s! My “s” and “5’s” were driving me crazy! Thank you for sharing your lectures with us, they are so much fun!
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  3297. Yeah , universities say hi
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  3298. Late to the party but fantastic explanations. I have abstract algebra and analysis coming up and will probably buy your Udemy courses. Thank you so much for all the effort you put in.
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  3299. I'm gonna pick Real Analysis back up right now, thanks!
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  3300. This is amazing: never thought I'd see this book on this channel! The first time I took discrete math as an undergraduate, I was failing it. At the end of that semester, I read this book, and it basically saved my career as a computer science major: it contextualized what I was learning in discrete math so that I was able to better understand and be interested in it the second time I took (and passed!) it. My experience with this book was the first time I had ever encountered the idea that mathematics was anything other than just doing endless sequences of arithmetic/algebraic calculations! For the uninitiated, theory of computing is that it describes a "computer" in an abstract way, as a "language processing" algorithm built from simple operations over pure mathematical constructs like symbols, sets, functions, and graphs. Depending on how you combine these objects, you can build different types of abstract "computers", each of which capable of recognizing whether or not an arbitrary string is a member of a "grammar". More sophisticated abstract computers can answer this question for more complex classes of grammars. Learning about this topic was the first time I ever realized that mathematical thinking could be applied to something other than numbers, and it greatly helped me broaden my view of what math was, how creative it could be, and even how beautiful it could be. Have you read this book? I would be interested in what you thought about the concepts in it as someone coming at it from a mathematics perspective rather than a computer science perspective!
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  3301. 4:30 I hate it when used book sellers erase pencil marks. When past students have circled problems, I know, I KNOW that's gonna be a juicy problem.
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  3302. It should be perfectly obvious to the most casual passer-by that an independently wealthy person has freedom to do many activities without compensation, including, for example, studying mathematics. Many historically renowned academic personages possessed wealth that granted them freedom to research, to discover, and to write what we still read today.
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  3303. My 9 year old is a third way through this . He watches YouTube videos for explanation and to supplement his learning . So far so good .
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  3304. Honestly, I can’t tell you enough how much of a difference mindset and effort really made in my first real analysis class Even though I’m not the biggest fan of real analysis (I’m much more partial towards Topology and Algebra), I still managed to get an 89 (4.0 at my Uni) because I put in the effort to understand all the difficult concepts like limsup that were causing me trouble. I went to office hours, participated in lecture, and still gave it my all because I knew the subject would be important for me in graduate school. Even though I certainly didn’t enjoy everything in the course (I still hate limsup/liminf), I definitely found stuff I absolutely loved (like the Topology of R and proof of EVT and IVT were super nice) It also helped that my professor was absolutely amazing. Even though he won awards and was a Harvard PhD, he was super down to earth and had extremely helpful office hours (I went to every single one, they were godsends for the assignments😅)
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  3305. that's when you go to math stackexchange
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  3306. When I study too much I start to forget things 15 minutes later (that makes me feel some anxiety rs). I have to review things over and over again everyday. Your videos are awesome by the way! Thank you.
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  3307. I need to read more math books
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  3308. Here are some other "must have" books that dover has published (these are not necessarily beginner texts): -Axiomatic Set Theory by Suppes -Functional Analysis by Riesz and Nagy (seriously a must have!!) -Commutative Algebra by Zariski & Samuel -Algebraic Geometry by Lang (very old-school geometry but still worth it) -Galois Theory by Artin -Counterexamples in Analysis by Gelbaum and Olmsted (there's also a topology one I've heard is good) -Basic Algebra by Jacobson (mandatory for algebraists!!!)
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  3309. Please stop making those videos! My wife complains about me buying too many math books and it's no use telling her it is all your fault.
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  3310. In engineering, calc based Physics and Calculus go hand in hand. The first piece of advice I would give is to approach from the general moving towards the specific. Next, take the time to sketch problems out and carefully label all the knowns and the desired unknown. Takes time, but the deliberate and methodical solution of problems will allow you to see any missteps.
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  3311. This is just how I feel about my programming assignment 😂I am going to apply this method - it's great advice! 😊
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  3312. You should do a video where you show off math books that have answers to every single problem in the back. I feel like that would be super helpful to math beginners.
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  3313. My mathbooks are my friends :-]
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  3314. I know I'm not lazy, just fell in hard times
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  3315. My night math routine is getting stronger and better each passing day with your videos prof. Just wanted to share that am focusing on vector spaces, rank, bases, dimension, these topics for a few days. Hoping to get a clearer picture of these concepts.
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  3316. Keep taking small steps and you will be hired by me one day.
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  3317. 21 is still young. When I started my Bachelors in Physics (aged 21) there was a guy in his 50's. He completed the degree and went on to do a PhD in some field of Solid State Physics. If anything, being slightly older is a benefit as you've thought about your decision and are more driven. Don't let an arbitrary number stop you pursuing what you want to do.
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  3318. Wizard what’s in that mug? Creatine tea?
    20
  3319. I'm from Bulgaria but am currently in my 3rd year of university in the Netherlands. In the Netherlands, everything is online, but in my home country - Bulgaria - although online homework is being incorporated, many teachers are somewhat skeptical about it and prefer to keep the old-school methods, resulting in a somewhat hybrid environment. Love the vids, wish you all the best!
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  3320. Hi professor, This is not really related to this video but I just wanted to personally thank you. I found your channel this semester and you have helped me so much in learning Differential Equations. I was on the verge of failing, I had an F as my midterm grade. After finding your channel and putting in the work, I managed to get a B as my official grade. Thank you so much!!
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  3321. This was needed. I struggled many times and still do at actually doing some things I wrote down and scheduled for the day, they are not necessities, just things that I want, now the question you bring up is if I want them enough, or if something is missing that makes me always procrastinate
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  3322. wow the birb is cute
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  3323. I also set myself a low goal. Just one problem... The Riemann hypothesis.
    20
  3324. U should read calculus made easy
    20
  3325. Dividend-paying stocks are a good start. Selling covered calls is a "conservative" way to start learning options. Day traders lose lots of money, in general. It takes several business cycles to understand the flow, the periodic nature, of the stock market. Bonds and stocks compete against each other, for investors' money.
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  3326. For those completely new to statistics, I highly recommend Statistics without Tears by Derek Rowntree. If you're like me and are piss poor at math and, for some reason, decided to learn data science, this book is an eye opener.
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  3327. Focusing on learning and not grades feel like a necessary risk you have to take, a risk I've yet to take. Grades determine so many things, so choosing to ignore it for the sake of learning can mess many things up. Now that I think about it, focusing on grades is winning the battle, whereas focusing on learning is winning the war.
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  3328. I hope this channel booms exponentially. Ps really wanted to listen to the discussion about the test in the end xD. <3
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  3329. Great video! I think being in the top 1% of intellects is 70% nature, 20% nurture, 10% socio-economic status. I don't think though hard work alone someone can be rise to the top 1%. I'd personally be more than happy being in the top 2-15% :)
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  3330. I went back to get a second degree and it was so worth it. Since finishing a degree in biochemistry I discovered I loved math and computers so I got a masters in data science. I think I actually want to do research so I'm thinking about getting a PhD now.
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  3331. OMG! I would not even to know how to answer the questions! I sure feel sorry for those poor Navy candidates who took the exam! Very blessed to live in the age of advanced calculators and computer software like Matlab to solve very difficult math problems used in engineering.
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  3332. My dad trained with Serge Nubret a few times (he was from Guadeloupe like him), He ran into Lou Ferrigno and Schwarzenegger too, in his life. Then he totally left the bodybuilding world in the end of the 70s beginning of the 80s and becomes obsessed with running marathons (New York City Marathon, Paris Marathon, etc.) And Middle-distance running. He used too run almost everyday 20 km ... at least. My oldest souvenirs of him pumping iron is like yesterday, I was 3 and a half years old (I'm 51 and a ~half now).
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  3333. I like how my professor didnt explain at all how to do this lol. Thanks, Math Sorcerer XD!
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  3334. "I didn't even know what pull it out meant it was just completely mind-blowing" listen I think we've all been there when the math is just so good
    20
  3335. my teacher at school once asked me how did I get this better math,, I told him it's because of The Math Sorcerer,, Literally the best professor,, all respect sir
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  3336. He repeatedly and adamantly maintained the claim that his intuition was because of his goddess Namagiri that helped him through his dreams. He was adamant with this, but most people overlook this supernatural side of his story because their brains can't rationalize it.
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  3337. Should have added something like, "Are you sure you wouldn't prefer majoring in Liberal Studies instead?"😁
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  3338. I can relate to this so much, I’m in my first year and sometimes I can spend hours on just one single problem. Like you said there is really no shortcut beside practicing more and be patient with the process. One thing I found really useful is to really think about deeply of the mistake you made, and try to repeat the exercise again line by line in your head by always reminding yourself of that error and ask yourself why you didn’t get it right. I personally find that it helps me to be more cautious the next time I run into a similar problem and as a result ending up with less mistakes.
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  3339. You look like newton at 0:07
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  3340. He's back in the game! - and omg did he say category theory?! For the record, I've gone from freakin' college algebra to way beyond because of the Math Sorcer support system, if you will. Thanks fellas!
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  3341. “We leave the verification of this to the reader”-every math and physics book ever
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  3342. Math can get very lonely sometimes... anyhow here are some of the best soul-sucking math textbooks that I know of!
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  3343. that’s a lot of reading. What about a book on how to read maths books quickly/well?
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  3344. Make money to eat pizza... That's the most important thing in the entire world. Good video :)
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  3345. Thank you so much for your time!
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  3346. You are doing a beautiful job presenting math books. And i have been looking out like forever for one i could use like some sort of general manual for math, just to recall some old stories and why not look up something i really might have missed 🤩
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  3347. This channel's videos get a decent amount of views, but not enough. Every Math enjoyer should be watching you in their free time!
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  3348. Thank you for your tremendous help. I love the passion you have for mathematics (judging from all the videos I have watched) because it is so infectious.
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  3349. I see that quantum text on your bookshelf 😬. The greatest math book to me personally has to be mathematical methods for physics and engineering by K. F Riley. It covers just about every applied math topic from single/multi variable calculus, to tensors, PDE’s, ODE’s, complex variables, and more. The book is over 1300 pages, it’s insane. You should check it out.
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  3350. I started off in college and had to take a placement exam. Ended up placing directly into Arithmetic and had to start there before working my way all the way to Calc 3 now
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  3351. I'm not smart. I'm a slow learner, but I don't lose because I'll fight till I win🤓
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  3352. I can't imagine majoring in something like: engineering, math, physics, computer science and working at the same time. I don't think I'd be able to handle it and do well.
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  3353. I picked this book up a few years ago as a supplemental text for an advanced engineering mathematics course I was taking. Best supplemental text I’ve ever gotten, seconded by “Div Grad Curl and all that”
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  3354. oh yea thomas garrity is nice. learned about him from his talk on mathematical maturity on youtube. he seems like a very good speaker
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  3355. I would love to see a proof for the division algorithm
    20
  3356. "It is not that we have a short time to live, but that we waste a lot of it" Seneca, On the Shortness of life, a moral essay
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  3357. I actually crossed the bridge with programming too , learned C and i really enjoyed it so i kept learning programming languages as a hobby
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  3358. I think people do not realise just how much work is involved in getting really good at something. Isaac Newton wrote, “If others would think as hard as I did, then they would get similar results.”
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  3359. Thanks im really bad at math but i have this spark that i really REALLY want to learn it. And your guiding that spark within me. Thank you so much! 😊
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  3360. I'm really enjoying these videos where you recommend books and also solve problems from them
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  3361. thanks alot dude, you pretty much taught me not to be afraid in using much more creative methods in math induction lol
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  3362. Just want to say that I really appreciate your videos! You've been very helpful and encouraging when it comes to my interest and self-study regarding mathematics.
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  3363. Big thank you for introducing Tabular Integration to me, can't believe I'd never seen it before! World changing!
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  3364. I feel like I'm easily on the edge of being obsessed with math, but I'm literally the only person I know who likes math as much as I do and I'm worried that if it becomes the only thing I think about, I wont have anything to talk to with my friends and family lol
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  3365. I'm 38 and i'm going back to University. Your videos are great and useful sir
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  3366. 1:37 3 Courses: Algebra (abstract), Real analysis (measure theory) Typology (point-set typology)
    20
  3367. Because you love these subjects, take your time, persevere and enjoy the knowledge gained. One day, you'll reach your destination. I'm 55 with various health problems, and I still read Science and Engineering books / magazines. All the very best to you.
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  3368. As chill as this professor looks, I just know I wouldn't like him. I've had a few of these types of professors and they never know the answer, they don't seem to care, and yes, they are nice, but they just care about their paycheck. All of the nicest, most caring professors I've had (in college) were the hardest math teachers! They truly are passionate if they're willing to work you to the bone so you can understand
    20
  3369. Just started my math journey going to be a CS freshman this fall and started studying always hated math all the sudden I’m in love. Will be ordering all these books! Thx.
    20
  3370. For me I rather take all math classes than any other subjects. I am more in tuned with math than with the other subjects.
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  3371. Your resemblance with bezos... Uncanny
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  3372. I also think that mathematicians pursue minimalism. When I began to study introduction to real analysis, I was surprised to realize that mathematicians attempted to define real numbers only with three axioms(field axiom, order axiom, completeness axiom). With these 3 minimal axioms we can logically derive all the plenty of properties of real numbers we intuitively know. From minimal axioms derive all the results!
    20
  3373. I didn't know these two books, I will try them. Untill now my favorite books are Rudin's ones.
    20
  3374. "Obviously" is what we say when we are hand waving the details. I'm not so sure if hand waving while rock climbing is a good idea.
    20
  3375. I am so happy this channel has reached over 1 million subscribers. It is a gem with so much great advice
    20
  3376. Started in high school with a crazy algebra teacher. I wanted to be just like her. Got to college. Dropped my math major junior year. Worked in museums for 7 years. Started tutoring and adjunct teaching developmental math 20 years ago. Earned a bachelor's in math taking one class a semester. Now, I am teaching developmental math full time. Taking real analysis right now as a prerequisite for a master's in either pure or applied math. Have not decided. Took 30 years to get here. Still at it.
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  3377. Belief in one's self transforms obstacles into challenges. Also, struggling isn't something to be avoided or ashamed of. You wouldn't go to a gym or a track and think you'd get better without sweating or tiring out your muscles. Conquering math challenges takes mental sweat and it's a sign that one is growing, not that one is failing!
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  3378. I am a math school teacher. But I would like to be such as you are. I really admire you, keep doing the good work.
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  3379. In high school, I didn't really like mathematics because the mathematical ideas that I've learned were not so intuitive to me. Nevertheless, I got into mathematics somewhat due to my interest in philosophy, mainly logic. So, one day, I just stumbled upon an article about the foundation of philosophy that mentions (let me paraphrase) "Logic (FoL, Modal logic, ...) is the core of philosophy". Since that day, I've started studying Propositional logic up to First order logic (did a lot of logic puzzles and read books about logic), but I did not find a book on logic that was intuitive to me. Regardless, later, I have stumbled upon "Book of Proof" (Strongly recommended), by Richard Hammock. Because that book was so suited for beginners (In my opinion), I've intuitively learned some basic naive set theory concepts, FoL, and the 7 common proof methods. After mastering those basics, I just went on and finished the whole book (+exercises). From "Book of Proof", I've acquired basic understanding of counting, set theory, and first-order logic (I skipped calculus). Later on, I just started doing "serious" math to expand my understanding of those basics since I've read that mathematics is a formal science. I have to say that throughout my study of mathematics, I have developed a certain degree of reasoning ability that allows me to grasp many philosophical (including mathematical and scientific) ideas and to analyze any argument extremely quick since mathematics (especially doing the proofs) turned my brain to an open-minded one while keeping my reasoning level to a certain degree.
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  3380. 0:49 Brilliant!
    20
  3381. I have this one as well, nice! It covers so much ground and is still a good reference in spite of it being published in 1967 ( I have the 2nd edition).
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  3382. I love annihilating stuff.
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  3383. I deal with math failures by ... well, more or less accepting my fate. Lol. Jokes aside, very recently, I was doing a math intensive physics problem from a textbook, and that particular problem has eluded me for 2 years now. I asked teachers, classmates, and it wasn't even a particularly tricky one, but for the past 2 years it seemed like I was the only one that didn't understand it. Then, I picked it up again, last week, on a whim, and this time, somehow it clicked. After trying a basic problem for 20 times over 2 years it clicked, and it was the best feeling ever. So, for me, the need of such small (yet fulfilling) victories keeps me persistent, despite the high number of math failures that I face. Patience, then, would be how I deal with my failures. Also, I hope you have a great 2022, Mr.Sorcerer (and everyone else too : ) ).
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  3384. Ive never seen such a good explanation, for real
    20
  3385. Thankfully some schools let us double and triple major, and there's always grad school, post-docs and lifelong learning! Life is multidisciplinary and interdisciplinary!!!
    20
  3386. I have a doubt just for curiosity: Do you like Geometry? I usually see you talking about abstract algebra, analysis, etc. and many of your books seems to be nonrelated to Geometry. So, Do you like Geometry?
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  3387. not Finnish? :'D
    20
  3388. that always feels good when you can sit in waiting room and read a advanced math book!
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  3389. Thicc book
    20
  3390. Practice build proficiency. The difference between a student (any level) and a professional is proficiency. You don't gain proficiency by being a student. Only the hands-on grind of professional practice brings proficiency.
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  3391. I found Stewart's book near impossible to learn from. Thankfully I fondly recalled using Larson's college algebra and trig books. I picked up Larson's calculus and couldn't have been happier. I can't put my finger on it, but something made a massive change in my apprehension of the subject. Could be style, could be presentation and sequence of concepts, could be something else. I really wish more intro level books were written in Larson's voice. I even used his Linear Algebra book as a supplement during that course. Some folks loved Stewart's book. But I found myself landing in the ditch every now and again with his text. Everything would be fine for a few sections, then boom! I was helplessly stuck. No lifeline, no clues, just stuck. A real confidence killer. One thing about Larson is that if you get stuck with a problem, you can usually recognize the "kind" of problem you're stuck on and trace it back to several well illustrated examples somewhere in the relevant section. This was so damned helpful. I didn't dread getting stuck on problems anymore. I almost looked forward to getting stuck. I still do! I really wish intro level combinatorics and probability books were (could be?) written in Larson's style.
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  3392. That was my book when I took Algebra back in the '80s. I couldn't stand that non-standard function notation of "xf" instead of "f(x)".
    20
  3393. i love u. All it took was for someone to say "basically means we replace all of the x's here with x+h's" and it ALL CLICKED
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  3394. I think it would be fun to study financial mathematics/ financial engineering. Maybe the Math Sorcerer could do a book review for a good book on financial mathematics.
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  3395. Everything's so clear now that I wanna cry oml! THANK YOU!
    20
  3396. I can listen to you talk for hours
    20
  3397. One of the beautiful things about mathematics is that it is so accessible. You can be of average intelligence and enjoy starting with arithmetic and then gradually learn as much mathematics as you want to or have time to.
    20
  3398. You have changed my life in a way I cannot even begin to describe. Thanks.
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  3399. A decade+ ago, I had to quickly downsize and jettison some long-owned Physics and Math texts and other books. After a couple of failed attempts to sell them to local used book stores, I donated them to my local "Friends of the Library". Several of them (the normal ones) I found in circulation, and the hard-core egghead stuff I discovered listed on Amazon as used books. I suspect they all found good homes.
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  3400. I was thinking of finishing an Elec. engineering degree I started years back but had to put on hold. I said I'd go next year, then next, then..well you get the idea. I have to redo a lot as it has been more than 7 yrs and they can't use it for credit. I honestly forgot a lot too. These videos point me in a good direction for reading and are a great inspiration for me, ( I'm 46)
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  3401. I'm addicted to maths books 😍😍
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  3402. I like the end where he talked about the need for both the story and the craft of doing mathematics. Humans are inherently creatures that love stories, and there is a lot to be told in mathematics. When math is presented in such a way, with both the story and the craft of it, it becomes beautiful.
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  3403. There was a bookshop in São Paulo, Brazil, that sold only Soviet books, most of them by Mir publishers. They were incredibly inexpensive and quality built (paper, binding), besides the good content. Most in English, but there were a number translated to Portuguese as well. Funny, it was there during the virulent anti-comunist regime. Mir means peace in Russian, by the way.
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  3404. To be Obsessed with Math, is the Most important thing ever !! 💯💯💯
    20
  3405. Indian student here , and Sir I really get lots of help from your channel . Thank you ❤
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  3406. You should voice over a math audio book.
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  3407. I've been reading Deep Work and it's a really insightful book for those wanting to tackle mentally challenging problems that arise throughout life, and I've been applying it to study for my classes, especially calc 3. I failed once because I got through 1 and 2 in a really bodgy way, but I hope to make up for it this time. Feel free to mention me on July and so I can give feedback of how it went. Anyway, thanks for the great video.
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  3408. I am honestly so happy though because my upcoming Calc II professor is using this EXACT textbook. I look a look through it and it was so easy to follow along
    20
  3409. When I was in university I liked to buy soviets books, cause the were easy, explicative and deep in content.
    20
  3410. Well, this book is more like a quick start guide. But it gave me a lot of pleasure: Rings, Fields, and Vector Spaces: An Introduction to Abstract Algebra via Geometric Constructibility by B.A.Sethuraman. Disclaimer: I'm no mathematician. I learn mathematics cos it feels like the ultimate detective story.
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  3411. Formal logic is the foundation for every branch of mathematics.
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  3412. You are right on track with your explanation, Math Sorcerer! I went to school for Engineering many years ago the "traditional" way by spending a lot of money for 4 years at a private university (and subsequently got my Master's there as well). I know a few co-workers who kids have gone the way of community college (here in NJ) take pre-engineering, math, and science classes, and then quite easily moving onto a larger public or private university to complete their bachelor's degree. I would add one suggestion -- given the cost of community college credits (about $300 per CREDIT HOUR her in NJ + books & supplies) vs the cost of 4 year university (which can upwards of $30,000 per year not including room & board) I would suggest taking AS MANY COURSES as possible at the community college -- not just physics, chemistry, math, but also computer programming and as many humanities and social sciences electives as you can (e.g., Psychology, Sociology, Foreign Language, Accounting, Economics, etc...) Anything to reduce the cost of taking classes at a 4 year university will save a tremendous amount of money.
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  3413. you know what would be awesome, i really would love to see a more entertaining based maths book that is similar to something like 3blue1brown, it includes alot of flashy pictures, and interesting things and is more of a hands on in depth look and review of how different maths concepts came to be, almost like a mix of maths history, art, and learning at the same time
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  3414. My advise is just keep trying...eventually you will get it. We are all different , some people it takes a few weeks , some of us a few months. Maybe you are just a few days away from getting it ! Like a long plateau and then the breakthrough !! We all have different starting points, backgrounds etc. Never compare yourself, just work on you; work on the problem. A little bit at a time if you have to until the mountain is dismantled . Learned this stuff from the Sorcerer. Good luck !!
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  3415. This is very true sir. I am from India, and we have really pressuring math, physics and chemistry from 11th Grade. We do full blown Calculus in 11th Grade, and we do the concepts that are taught in First year of US colleges.We also cover alot of Thermodynamics, and all other buff topics in Class 11(that are otherwise taught in college). Then we also have to solve the JEE questions, and many questions from it are so tough that even math majors have trouble solving it. That does not bother me sir, I love to learn, but unfortunately, because of this, I am not able to spend time on a proof I really like. The syllabus is really vast and extensive, and the problem is, when I do math, I love to rigorously prove everything, each and every theorem there is(most students just have to mug it up because of the lack of time and the high amount of difficulty due to being exposed to all this stuff so early) I am stuck on a proof, until it's solved, no matter how hard it is or how time consuming it is. I struggle with prioritizing time, and this may cost me alot in the coming days.
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  3416. Refine the study method, more is only better if the efficiency remains high, if you spend more time but lose efficiency it's not of necessity beneficial. Never forget we also need fuel and processing time, those might seem like {not study} but are very important to the learning process. Like any system our learning process can produce negative feedback loops if to much time is spent on worry/{effort} and not enough is spent on just muddling along at our own pace.
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  3417. Awesome! I was wondering 'how do I study maths alone?' And you video answer me! Thank you so much!
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  3418. I was in my professor's office hours all the time doing HW and asking questions when I need help. Basically, I was kicking it with my professor. Putting in the hours definitely paid off since Abstract Algebra was rough!!! So was Number Theory!!! I had to take Number Theory TWICE!!! I got a D the first time and was a shy of an A the second time around. The first time I took it, I loaded myself with way too many capstone math classes, but I never gave up and take a withdraw. I kept going to class and took all the tests. Why? Because, I'm gonna have to take it again anyway. Might as well go all the way and redo it the second time around knowing exactly what to expect. Winners don't quit! :)
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  3419. After taking all three of those classes I'd agree that Cal 2 is the hardest and Cal 3 would be the second hardest because of triple integrals and applications. Just finding those boundaries on 3 dimensional shapes can be pretty tough, at least for me heh.
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  3420. These videos are good for people that don’t have time to practice calculus every single day. It helps me not forget!
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  3421. When I was in UG studying math, we had the 25-35 hours a week rule by the department. But many students like myself will study way more than that.
    20
  3422.  @TheMathSorcerer  Math becomes easy as a result of one's hard work but is not inherently easy.
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  3423. Ye shud try some songs from madness of many (animals as leaders). Super technical stuff!
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  3424. I especially agree with the last two traits of mathematicians! To show students that even mathematicians make mistakes is very encouraging for students to keep trying, and not worry about the outcome. Some professionals are afraid of being challenged, seemed not productive or open-minded that way. Good discussion topic today! :)-
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  3425. I dont know if you will ever read this comment, but your work in this channel is so, SO amazing. I read a lot of Elements of the Set Theory from Enderton, but seeing proofs detailed and well organized as this just makes me so happy. I'm currently studying Computer Science at the University, but my professor is kinda lost, like, he explain things in a very confusing and convuleted way that I just had to come and see if there was anyone out here doing a better job and you deserve a fricking medal. Many thanks, as many as there are sets out there.
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  3426. Love your videos, keep enlightening young people to love maths and science. Thank you
    19
  3427. No.
    19
  3428. People always complain about "no time". No matter how much time they actually waste.
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  3429. Sir, your teaching style is very different, and amazing! You teach very fast and it's very clear as well. I recently started taking math too seriously, and math started getting boring for me, but with your amazing attitude, now math is getting quite fun for me.
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  3430. Why do you look like Isaac Newton?
    19
  3431. Why does it look like this guy sees the world in fractals...
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  3432. The bit at 3:27 about the square root is incredibly well done and relatable🤣🤣. "It's a conceptual move...not an algebraic one" - I can picture my undergrad Analysis professor saying and doing something like this and the portion with the inequality haha half of the time he ran through proofs we just went with it and then the converse was left to us as an exercise since it was "free lunch". Really enjoyed this video - great job 👍
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  3433. I'm in education. I haven't taught math in quite some time but I've been involved in enough curriculum, professional development etc. to see that there are some huge problems. If I may point out what I see as the most obvious-- we absolutely do not begin by making connections to larger ideas and problems until almost 6 to 8 years of basics. We think that being good at the basics, understanding the progressive levels of concepts that build on each other IS how we best get kids to ultimately understand the big ideas- trig, proofs, calculus etc. If we did that with reading- kids would not read a short story until high school. I completely understand that to MASTER or even get to being competent in trig or calculus- you must master a certain sequence of skills- but here's the rub- I have yet to see great instruction that connects maths to concepts at the earliest levels. Why can't we introduce the notion of limits -- early on. This is the reason we get the terrible question- When am I going to use this in real life? I used to answer that- Well you absolutely won't know when you CAN use it because there is a world of problems out there that aren't solved or thought of mathematically because we don't teach this very well. Unfortunately we mostly only expect them to be able to make sure they can make sure they aren't cheated on their paychecks. I'm old enough to have heard teachers say they were happy if students could balance their paycheck. I digress- I wasn't fond of Common Core math because it was still too sequential- I want us to challenge students with HUGE ideas take them apart and make them real. Their is a fantastic British professor here that explains Black Holes with fairly simply Algebra. I'm a smart man -- and I've read all the pop physics books Hawkings, Greene, etc and it wasn't until that professor explained singularity with fairly simple Algebra that I was truly disturbed by the idea of a singularity and infinite density. Why do we dumb things down? Anyway- thank you for these videos
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  3434. I never had a problem understanding mathematics books, my problem has always been forgetting chunks of the material from the bourbakists or other people that write for maximum generality.
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  3435. I don't know if I have a gift for Maths.But I enjoy it & it has helped me cope up with bad times.I wish we had a teacher like you.Thank you for inspiring us to keep doing Mathematics.
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  3436. I need you review brilliant for people to know about it, and math courses on it bcs i think it can teach a lot thikheads like me about math.
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  3437. Wow I thought Induction itself is not provable and is assumed to be a correct method. Thanks for the vid. Definitely downloading this book from libgen.
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  3438. Many great people have said, the man who has failed is stronger than a man who has constantly succeded, and it is the men who fail, who know the true value of success. This is very true, and the majority of the greatest people have failed at least once in life. Failure generates regrets, be it in math, or in any other thing in life, but we should understand that failure just made us stronger, and a better person. Success would never bring such a significant change in us, but failure, it humbles us, and makes us stronger. The thing that you regret is a blessing by God himself, because now you will stop yourself from repeating that mistake, and you will improve yourself! It is my own story, once I failed a math class, and everyone thought I was worthless at math, then I worked hard on math,day and night, and it made me much better. Ever since then, I got straight A's on my math tests. Sir, you may think I thank God for my A's more than anything, but the truth is, I thank him for the bad grades in Math much more. A's did not improve me My bad grades did. :)
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  3439. The sorcerer has spoken.
    19
  3440. I agree with this 100%, It is important to embrace the difficulty of the subject. Much like everything, you only get better with practice.
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  3441. Timely advice because boy was I getting frustrated the other day with some homework. Next thing I know I’m questioning if I’m good enough to be a math major etc, etc,… it’s so easy to go down a negative train of thought. Thanks Math Sorcerer!
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  3442. I completely agree with you. This sort of thinking dates back many years. For example, when my father attended Harvard Business School for his MBA, he told me that he was taught that it is a good practice to employ persons with mathematical training and for them to learn the tasks-at-hand on the job. Mathematics training enables one to precisely define a problem and to think clearly, logically, and quickly.
    19
  3443. One of the best examples is Kobe Bryant, that man would spend hours in the gym even though he was already one of the best . Rip man
    19
  3444. Really awesome! Steven Strogatz also have a really good book about the history of calculus and it's applications on everyday life called Infinite Powers. I think you should check that out.
    19
  3445. This is the textbook I use when I teach discrete math.I think it's clear, especially the early chapters on proof.
    19
  3446. Respect!
    19
  3447. I'm gonna start in two weeks my masters in CS. Hoping that classes don't go online meanwhile
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  3448. I got Precalculus by James Stewart in the mail today. It looks like its going to be the most difficult math I have ever tried yet. I also got College Algebra by Ron Larson and Hostetler. It looks difficult too. College Algebra by Larson has a page that shows errors with algebra and algebra for calculus which I think is great. My Stewart precalculus is the 3rd edition. Just a random, trivial comment about precalculus by James Stewart.
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  3449. Keep doing this man, u r saving my grades
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  3450. I really need this type of books nowadays. Thanks for your advice sir!
    19
  3451. Got them when I was in my first year of college! They are pure gold!
    19
  3452. I really appreciate an experienced expert like you suggesting books for people with zero knowledge. Love this. Thank you very much my friend.
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  3453. Could you do a video about fixed point maths? I know this is not relevant to the video, but I thought being the first comment possibly you won't miss it.
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  3454. What a clear explanation. spent hours through my Year 9 math textbook trying to understand the content. Then, came to this channel, and boy, it was a godsend. Thank you very much!
    19
  3455. There is a famous physics author named "Robert Resnick" who won an award for teaching physics through his books. He is a very talented author. I have read a couple of his books.
    19
  3456. Other people are good for guidance, if they are competent. To build a solid foundation, it must start from within. Good luck!
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  3457. How do you have money for all those books though are you a billionaire? are you jeff bezos? great video
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  3458.  @TheMathSorcerer  I teach at FIU. Lots of Cuban math students here.
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  3459. Thank you for recommending next level math, Math Sorcerer Sir.
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  3460. I agree: a book a student studying calculus or (anyone interested in learning calculus) should read. I had a soft copy of this book, 'Calculus Made Easy' many years ago. Don't know if I still have it. But it is a good book to have along with a student's calculus textbook.
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  3461. Your videos are always best
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  3462. Please do a series (if you haven't already) with your guidance on your inspirations for kids mathematics books for parents to learn along with their child-ren. I have been sharing your video;s with my wife and we are trying to make math a regular consumption of interest for all in our home. Your guidance I believe is invaluable my children are in primary school however we endeavor to create future Math Bugs..🎯💯💥
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  3463. Do not ever think of falling at math. When you can't answer a problem, or your findings aren't the correct one, remember that it's a sign that you still have more room to grow. Imagine someone who's so good at math that he can't find anything more to learn, that would be so boring. Embrace the unknown, for the joy of knowledge lies behind that closed door
    19
  3464. I come back to this video whenever I need to be motivated to study. I'm not sure why, but being able to see the road from where I am to where I want to be is very exciting.
    19
  3465. Thank you math genius for inspiring & motivating me for mathematics.
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  3466. Wow, this is so awesome! I've always seen myself as having a lower IQ and have definitely used it as an excuse for getting poor grades. Now I know not to do that! I'll never be Terence Tao but I found this video to be truly inspiring!
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  3467. it's time to drop the gym routine.
    19
  3468. Luv your video! I did an undergraduate math degree at a top 10 U.S school. What I learned is 17% is a B. You graduate feeling pretty beat up and wondering about the other 83% you missed.
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  3469. I love your book reviews !!! Could you please make book reviews on the "Algebra trough practice" books you haven't already done a full review on? That would be great. Love you content. Keep it up.
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  3470. Preparing for Masters Entrance Examination... in between all this Channel makes me keep the balance between passion and competetion.......Thank you Proffesor🙃
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  3471. Este canal es genial, le agradezco las reseñas de libros y los invaluables consejos, le deseo un gran próximo año. Saludos desde Argentina.
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  3472. Could you kindly upload more videos just like these? I always wanted to learn mathematical analysis on a graduate level. Measure theory in particular 😁. In any case - thank you!!!
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  3473. Hi Math sorcerer. Yes sir this book is THE math book that made love math to begin with a true statement for someone who was born in the US and grew up in South Florida. I actually have the original hardback that was my dads and two other copies of this book. The historical portraits of the great mathematicians is certainly a nice touch to be sure. Baldor was a Cuban mathematician and this book was his magnum opus on Algebra. He also has an Arithmetic book and a Geometry book as well, book a good books on their respective treatments but the Algebra book is king. original book had 6400 problems and I also own the solutions book from the original that contains not only the answers but the worked out steps to each solution. Truly a masterpiece of a math book. I have a great recommendation for a book review it is called “Mathematics: From the birth of numbers” by Jan Gullberg who not even a mathematician himself but who is a medical surgeon who was inspired to write the book when his son was studying to become an engineer in Indiana.another great math book.
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  3474. i barely know what this man is talking about half of the time especially with all the advanced math stuff but I love watching him. Inspired me to learn math.
    19
  3475. Its not just math, people in any field who engage with abstract level work are likely to be lonely because the average person can't relate with their thought process. Its why Intelligent people are likely to be lonely.
    19
  3476. I've never felt more motivated to do math than now!
    19
  3477. Thank you, Sorcerer
    19
  3478. Thank you for really pushing the point that it's ok to not understand or not get it. I think there is this misconception that if you're good at math, it comes easy to you and if it doesn't you shouldn't be doing it. Thank you so much for that.
    19
  3479. I recently discovered an author called Peter J. Olver who has a great book on linear algabra called "Applied Linear Algebra" and excellent book on PDE's too, called "Introduction to Partial Differential Equations". The books are written so damn good, Peter has become my favorite math author with Lang.
    19
  3480. Somewhat surprised you did not mention that Martin Gardner was a noted author of several math puzzle books and was a columnist for many years with Scientific American. His column of math puzzles and observations was very popular feature of the publication for about a span of 25 years.
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  3481. Near 100% in my all of my math courses, last class taken Calc 3. I'm not naturally anything special. I just worked my butt off. Here are my tips. I used a lot of PatrickJMT videos on YouTube and followed a lot of practice midterm/final exams on youtube throughout the course, not just before texts. I like clean looking notes help, but focus as much as you can paying attention to what the professor is explaining. I littleraly had to take pictures of the board (ask your professor first) and leave in blank pages in my notebooks to write out later. I was the slowest note taker in my class. Conversely, when you know your completely lost and dont be afraid to let the professor know. They will be pretty helpful and honest when the actual best thing to do is to just copy notes and ask for help later. Those times can suck, but we all learn at our own pace. Also, you know your doing just fine if you can ask specific questions and are not just saying your lost or you dont understand. Don't be afraid to go over examples again with your professor at office hours. Learning to speak math takes time and if you can clearly communicate, you can get better and faster help. Highly recommend practicing the examples your professor does in class because they will basically be what you should expect on your tests. I also started a 3 people sized study group where we basically did our homework or practiced problems in the study center every day. The best way of learning is through teaching. If you study with others, you learn how to teach each other. The professor who ran the math tutor center also basically became our calculus mother. Also, before tests, I super recommend creating cheat sheets with really simplified and neat information your test will be covering and then practice questions until you can do practice problems comfortably without looking at it. Another thing that comes to mind if you want good math grades, and this will sound a little harsh, is to do as absolutely as best as you can from the beginning of the course. Math is cumulative, you can't just say you'll learn it later. Cuz if you do, what was the lesson before tends to become what is expected to become second nature later. It's OK to be stuck and have difficulty at times, but make sure you stay responsible for getting yourself out of that hole before you get buried and overwhelmed. Also, I took a programming course and if you really enjoy coding, you might find it fun to create programs to do specific types of math questions. That sounds intimidating, but once you get the hang of it, it's kind of fun. Plus it will get you used to typing our your solutions for math because you may have to do homework online and they normally give you limited number of attempts for each problems. It sucks to miss an attempt because you forgot to use a parenthesis. Typing out math problems can also be helpful in looking up problems online so you can follow along. I would love to go back and start math all over again right where you are going to be starting. Math is so cool and fun and there is so much you're going to get to explore. I get overwhelmed with the idea of having to earn high grades. Instead, I tell myself that I start class off with 100%. And then its up to be to try my best not to lose too many points. Best of luck to you. Don't give up. Your going to be incredible. Hope you enjoy the math journey.
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  3482. I would've failed all my math classes if it weren't for the internet calculators. Desmos is my go-to internet calculator, but I also use Symolab for checking derivatives and indefinite integrals. Geogebra was extremely useful for multivariable calculus because it was 3D. There are also really useful matrix calculators for linear algebra. The best part is that all of these are (mostly) free.
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  3483. Mmm yes sour cream raisin cookies
    19
  3484. I never thought I'd miss graded homework until I took Calc 2
    19
  3485. Have my final examination tomorrow, what immaculate timing! Great video as always.
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  3486. A couple years ago I took pre-calc 1. This was a few years after completing high school (mind you I earned D’s in math classes). Well, I actually studied and worked hard in that class. I ended up getting an A. This one little class gave me the full confidence to pursue my studies. I am now a physics major with minors in economics, math, and data science. All it took was to win one battle. My study habits have remained the same since pre-calc1, and it has been working for me. What are my study habits? I need to read and know the black and white of whatever topic I’m studying. I literally write definitions and theorems from the book straight into my notebook. I know it’s redundant but it works for me.
    19
  3487. I am an expert at not knowing what I want to be 😭😭😭😭😭😭
    19
  3488. “Do really bad things to mailboxes” That laugh made it sound like it was from personal experience LOL
    19
  3489. 1. Principles of Mathematical Analysis. 2. Advanced Calculus by Patrick M Fitzpatrick. 3. Advanced Calculus by Bucke. I will return to revise list above.
    19
  3490. I think the problem with most hard subjects is that they seem unapproachable,some people just shut off their ability to think when it comes to sciences.Just take it step by step,progressively,you'll eventually find the path that you need to journey on.,💪💪💪
    19
  3491. The is awesome stuff. Very cool book. When I was preparing for my Professional Engineering Exam, I had a University Professor that repeatedly reminded me of the basic steps to take in the exam, no matter what the problem or discipline. This approach served me well during the challenging exam, especially considering there is not much time available for each problem. Thankfully I passed. 1. Carefully read and understand the problem. 2. List and define the knowns and unknowns. 3. Draw a free-body diagram. 4. Write down the fundamental equations and list units to be used. 5. List all assumptions. 6. Simplify the problem by cancelling out unnecessary and irrelevant terms. 7. Rearrange equations as necessary for the unknowns. 8. Plug in the numbers and solve. 9. Justify the solution. Is the answer reasonable from an engineering perspective?
    19
  3492. My routine has been to do at least 30 math problems every morning. Afterward, I always go out for a walk.
    19
  3493. It seems that John has reluctantly lent this book to a friend, who instead of returning it sold it off? 😂
    19
  3494. So true! I keep saying this to my best friend and she needs to hear this! {Nice tie} 🎉
    19
  3495. Math joke: there are 10 types of people in this world, those who know binary and those who don't.
    19
  3496. Seriously - THANK YOU for pointing out the tricky ones. You are such a wonderful teacher!! I love the full length ones I really feel like I'm there learning with you. Thank you you're a blessing
    19
  3497. Leaping lizards, I didn't see that coming. We don't know which of the options is right, but it doesn't matter cause either way we have a working pair of numbers
    19
  3498. Have you considered any Matlab, Mathematica or Maple book reviews? Just a thought. I realize your focus is classical mathematics subjects.
    19
  3499. Introduction to topology and modern analysis by G.F. Simmons is also an excellent book
    19
  3500. This was a very well done and helpful video! Thank you for showing everything so thoroughly!
    19
  3501. i actually used to be trash at factorisation after years of teachers trying to teach me and this short video just helped me learn it so thank you very much
    19
  3502. Thank you Math Sorcerer. You just continue to pump out content, and it's all super valuable and clearly straight from the heart. I'm finishing up my junior year and I'm super guilty of #3. I took a moment to think today about how ridiculous it is that I'm getting a free education in a great subject, and I know the value of doing well, but my priorities have been elsewhere and I'm just getting by in school. Cramming for every exam, doing meh in hard and even easy classes. People would kill for the opportunity I have. Anyway, thank you for the inspiration and I really appreciate the content.
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  3503. Just when I was thinking of whether or not to do Precalculus next
    19
  3504. I am getting 3 new bookshelves thanks to you lol!
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  3505. Hey, math sorcerer! Just wanted to let you know that you inspired me to face my biggest fear...MATH. After many years of neglecting improvement, I'm now seeking you as a daily therapist and you're improving me by uploading this amazing content! Many thanks and keep up the best of work!!! ❤❤❤
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  3506. It's good to have at least one of these "remedial" math books on hand. You never know when some crazy little detail might creep up in what you're doing and you'll be banging your head against the wall because you can't remember what the hell that one little thing was and you can't find it anywhere except in one of these books. It happens, man.
    19
  3507. I think people should start with small goals. A small goal is something like getting the G.E.D. A bigger goal might be to use the G.E.D to get into a college. A small goal might be to learn prealgebra. Big goal might be to learn eventually learn calculus. Start small. Personally, I finally took action. I contacted 2 different colleges in the state about online classes and financial aid. ,
    19
  3508. Excellent motivational example for the ‘why’ and ‘how’ mathematics is useful to science and engineering. In showing this text and others, you’re providing a wonderful service to your audience by showing examples of applied science and engineering— really shines a light on how mathematics is used to model, analyze, and solve real problems. Without proper context and concrete examples such as nuclear physics, engineering, and machine learning, to name a few examples, students are apt to “lose the forest through the trees” in their math courses and may never be exposed to these important applications.
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  3509. Hello, There are so many textbooks in mathematical methods like this one. I hope you will make videos about textooks comparison. Let me suggust that you make a video about what subjects mathematics students study in the different universities, then to make comparisons between textbooks in every subject (linear algebra, calculus, analysis...etc) and their pros and cons, I think that will give you thousands of views, and will help students. For me, I got deceived and bought Stewart Calculus, because I did not know that there is a better one (Larson Calculus) which gives a free online step-by-step solutions manual, and explains every theorem and example in videos online, and it has so many solutions by videos. If somebody had recommend me to take Larson instead of others, I would be better in this subject. Thanks
    19
  3510. That ending reference to the blueberry pie joke, lol.
    19
  3511. My favorite part is when you talk about how the Earth is flat and give the equation of a plane too. 😂 You had me convinced for a second there now I wish I had a conspiracy theory professor like the one you acted.
    19
  3512. Great vid as always! I have two volumes of a Russian translation of Differential and Integral Calculus (hard cover) by Piskunov from 1975 I think.
    19
  3513. I am taking an optimization class for data science and it’s kicking my butt, I needed this thank you ❤️
    19
  3514. Thank you for all your advice! It’s my first semester at college and I have been taking college algebra. I did really bad on quizzes and tests and as a result, I had a D in the class. However, through hard work, more studying, and meeting with my professor, I have gotten better. The past two tests, I have gotten a 93 and 96. I took a quiz just now and got every question correct. I have a final next week so I hope I continue to do well!
    19
  3515. Thanks for this channel always sharing valuable books and knowledge
    19
  3516. This is Bezos if he went down the theoretical physics route
    19
  3517. CAN YOU MAKE DETAILED COURSE ON LINEAR ALGEBRA ? SO I CAN BECOME A PRO AT IT
    19
  3518. Do not need to be worried about it dear David. I'm 22 and I just got into college by this year and I'm completely sure that if had Got in a college course earlier I would not be so happy and mature as I am right now. Best wishes!
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  3519. Abstract algebra was my thing! I loved it, relished it, lived it. I was studying part time because i had just discovered that math was so wonderful, but I was in my 30s and I was working full time as a programmer. Well, I changed to working part time and almost every math course I took was one on one with the professor since no one else who was doing part time adult-Ed classes wanted anything like that. I aced abstract algebra it and went on to topology. Then, the folks in the math department signed me up for the Putnam exam that year. What a treat! There were 10 questions and five of them were pretty much abstract algebra and I did all of them, and they were very clever, yiu had to be able to see 'the trick' to understanding each problem. I couldn’t even try the rest because they were all based on calculus and I’d never taken a calculus class. Well, when the results came back I had got all five problems I did completely right. So I got a score of five. Turns out that if you don’t get a score of five or more they don’t even send the results back. So I was the first person in the history of the school to get a score! And the only person, since that college got subsumed into University of Massachusetts a year later. It’s my only math claim to fame. I just recently learned (on YouTube) that the Putnam exam is sort of a big deal. 🤣 I still struggle with calculus.
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  3520. Many stupid students hate their teacher, then hate the subject then hate the whole school thing, sad.
    19
  3521. thank you my good sir you are amazing
    19
  3522. I've never been good in math and I failed continuously in my exams . I dedicated several hours per day every single fucking day to improve myself...and you know what, I'm about to finish undergraduate in mathematics and finally I can say that I love it. I m learning english language and it helped me a lot to understand math. A heartful thank you to you, Bro . This kind of videos are absolutely neccesary. I love your channel and the great stuff you do. Keep it up!
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  3523. I'm surprised you never mention the AOPS book series!!! it's one of the best math books IMO.. lots of gifted kids take it as their study guide. plus it has all kind of hard question that will make you a hard core problem solver... teaches you proofs and everything.. it's also used in math Olympiad camps. the Art of problem solving book series is the best IMO. it can be dry and hard to understand at first but its so worth it! highly recommend
    19
  3524. I have a calculus placement exam due today and this is helping me a lot in reviewing and relearning important topics. Thank you
    19
  3525. before even watching the video i want to take a guess: PRACTICE!!!
    19
  3526. Still can't believe that in the end I've found someone that explain why we can choose N, for the Archimedean property of real numbers. I was wondering for a lot of time why we can make some choices, I always thought it was a big fog behind that process of choice; but you've clarified it to me now and I'm so grateful. Thanks!
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  3527. I did one semester in CS and switched to Math right away the next semester lol
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  3528. I causally watch math videos whenever I feel like I'm being too lazy yet I can't bring myself to studying.
    19
  3529. assuming math can almost perfectly describe any thing or process (natural or man-made) within the universe, learning math means you are reinforcing your brain's information pathways to almost perfectly model everything within the universe--- that's the power... essentially you are providing your neural hardware all the necessary firmware to simulate the world!
    19
  3530. This is a really great idea, I’d love to see more of these!
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  3531. You are right about calculus 1 turning you into an algebra master lol. It really forces you to learn it with all the crazy derivatives you gotta do. I wasn’t great with algebra yet when I went into calculus 1 so I struggled to get myself a B. Calculus 2 was rough for me as well, it was a lot of memorizing integrals, methods of integration, but honestly my but by the time I was in calc 2 I was already kind of used to it. Plus, being confused is just part of learning lol
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  3532. didn't even watch the video but updooted and subscribed because you have a trustable face and the title is positive
    19
  3533. My daughter asked what Trig is and where the word came from, so I told her about it, but also about Pitiscus. She turns 11 this week. Yeah, when I teach any kind of math to my children, I include the history behind it. That way, it becomes an interactive story for them. Trig is awesome!
    19
  3534. NOOOO if only you posted this yesterday! My differential equations final was yesterday! Oh well, Ill still watch for fun!
    19
  3535. Bro is the only person on earth with yellow eyes. He's probably an angel or something
    19
  3536. Reasons: 1-Because they're gifted (geniuses); 2-Because they studied hard and succeed; 3-Because they studied hard and never have any learning disability.
    19
  3537. in times of this pandemic, when the prof doesn't care much to buy a stylus pen and write down the scratchwook, and just reads out from his 1000 years old pdfs... I am left scratching my head, as to how did the first line of the proof statement came to be! Thanks for being a great help and teacher!!
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  3538. This really hits home. I started with remedial algebra in college, felt really defeated about it, but I eventually was able to take higher level math classes and reflecting on the journey along the way, I feel that having taken pre pre algebra gave me more appreciation for what Math is, and it gave me more reason to study math even beyond what I get taught in class.
    19
  3539. We have moved past the Sam Sulek era to the Math Paladin era
    19
  3540. You should do a review on Mathematical Olympiad Challenges Book by Titu Andreescu and Razvan Gelca. It is an excellent book and I even bought it
    19
  3541. I quite like the basketball analogy, but I can't remember where I heard it. "You don't need to be the tallest player on the court, you only need to be tall enough to play". So you don't need to be the most intelligent person to contribute in a STEM field, you just need to be intelligent enough.
    19
  3542. YES LET'S STOP STUDYING I AGREE WITH U %100
    19
  3543. I love you ❤ you are the one pushing me towards research
    19
  3544. I love your energy and your humor!!! Is the homework available somewhere? I want to take your course for fun and the challenge!
    19
  3545. Pdf and old copies are the friends of students like me and u
    19
  3546. This is such a giant mess, and you explained it so well
    19
  3547. there's always something to learn even from almost trivial integrals
    19
  3548. i happened to skim through several of these mir publications in the 80s, mostly physics, electrical engineering and math. excellent pedagogy/approach from the elementary to the advanced within the same book and some times within the same chapter.
    19
  3549. Very true. This is just the beginning. The video never mentioned numerical analisis, tensor analisis, etc, etc, etc.
    19
  3550. I'm biased, but math > physics.
    19
  3551. indeed, this is nigh Feynman level hairs
    19
  3552. Linear Algebra Step by Step - Kuldeep Singh... Finally a writer who understands that what is "obvious" to seasoned mathematicians isn't at all obvious to the mathematically challenged in their first year of university.
    19
  3553.  @TheMathSorcerer  sir they were really good, because they only allow the best of us to go to good colleges.The weaker ones are ignored and the teachers do not even talk to them! (Sometimes they even insult the student for being weak in a subject) The condition here is horrible, but sir, the exams held in schools and colleges are EXTREMELY EASY! It's really very easy, the only tough part are the competitive exams.
    19
  3554. Learn to code... Learn to GPT....
    19
  3555. That guy is cool, writing down beta correctly, that's alpha primate move
    18
  3556. “…but I wanna learn about metric spaces” said no one ever.
    18
  3557. Attitude is everything. Even math majors don't like certain math classes. You can learn to like and appreciate them. I never liked geometry in high school or college, but I kept an open mind and learned to see the beauty in the subject. Even ended up teaching honors geometry a few times.
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  3558. I have this book and there’s no answers to the exercise. It’s stupid to not have answers to the problems since I learn by examples and that defeat the purpose to learning without any solutions. However, if this book have answers to the exercise, it would’ve been a 10/10. For me, it’s a 7/10.
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  3559. I had Thomas's calculus for my calculus course in university. The next semester the course changed to using Stewart. However, I didn't use Thomas's book because I'd done AP calculus in school and preferred it (still do!) - it has one of the best explanations I've seen for some fundamental topics like limits, IVT and directional derivatives, though it's slightly less well know. It's Calculus by Robert Ellis and Denny Gulick, if anyone is interested to check it out.
    18
  3560. In high school, when my "pretended to be friends" asked to see my answers, I changed them to be wrong. Kind of mean but yeah...
    18
  3561. There’s a reason why you need 4 years to complete your undergrad. 15 hours is unhealthy
    18
  3562. thank you sir !!
    18
  3563.  @ghartas123  Ah, if even a bird can do it than it is time for me to pack my bags!
    18
  3564. lot's of love💖 to my fav maths teacher from INDIA🇮🇳
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  3565. Solutions to ALL the problems? I already love it.
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  3566. Just go with whatever you feel passionate about. If you go CS, be prepared to deal with elitist mathematicians trying to berate your work tho.
    18
  3567. My dude, thanks, this gold
    18
  3568. Where I live it's just 100% finals :(
    18
  3569. I really needed this
    18
  3570. Keep 'em coming :)
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  3571. Thank you for the book recommendations I really appreciate it as a math major!
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  3572. Learning from this book was an absolute struggle when I was taking linear algebra. As an analogy, it felt like the author rigorously proved to us how to do 1+ 0 = 1 and then expected us to to 3 * 5 in the exercises. I learned a lot more from my professor's and my TA's office hours than I did from the book itself.
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  3573. i'm currently enrolled in a review program for civil engineering in our country, and surprisingly, this is one of the topics! really had fun with it because it's new for me. i didn't know this isn't common math anymore :(
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  3574. "Mathematics is a part of physics. Physics is an experimental science, a part of natural science. Mathematics is the part of physics where experiments are cheap." - V I Arnold, On Teaching Mathematics (1997).
    18
  3575. I am doing basic skills at 40 at a local school. I mean I am just learning to count. So go for it
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  3576. Nice try Nike, I'm still not doing math. Seriously though, yes I agree. The more books the better. I use at least two, usually more, for each math course I take or programming language I'm trying to learn. 100% helps to read the same topic explained differently.
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  3577. I was able to get an A in my advanced calculus course this semester along with all A’s and I feel like this was my most successful semester mostly because I was the first student to get an A in the advanced calculus course with the particular professor. Big shout out to you for your motivation and videos!
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  3578. Wow this explanation was really calm, peaceful, and smart. I appreciate it a lot.
    18
  3579. This video helped me a lot, even in 2020! Thank you so much :)
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  3580. YES! Do all of what this guy says. When I started getting involved in other maths, I started learning topics my friends won’t even learn until 2 years from now. I already knew complex numbers before my class taught ‘em, I’ll already know a bunch of trig once my class covers it this year, and now I’m pretty much all caught up with my calculus classmates (except they’re not my calculus classmates, they’re all seniors while I’m a sophomore teaching myself, lol)
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  3581. The smell test gets me every time. Keep the book videos coming please
    18
  3582. I’ve always heard it pronounced “light hold”. It’s a German name and “ei” is pronounced like a long i as in “light” or “right”.
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  3583. The explanation is good but I think it'd be better served with another example, one that doesn't make use of finite sets particularly. They're good for introductions to a topological concept but they don't often carry well to uncountably infinite spaces like R or R^2.
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  3584. I think math requires a lot of discipline until we reach the point of mastery where we can finally enjoy it enough to not even notice how much work we're doing. At that point, so much becomes routine and automatic, it's a core part of our identity and lifestyle, and we're relatively more desensitized to further difficult challenges. However, discipline is still important even after this point, if we really want to drive the field of research forward and take ourselves to even higher levels.
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  3585. one person did not start their semester the right way
    18
  3586. Thank you so much I was so confused in class to why we had to multiply by a 7x and 3x but now I get it. Thank you so much!!!
    18
  3587. Hearing an actual explanation instead of just an example helped me out a ton! Thanks
    18
  3588. Off topic of math proofs I guess but: I got a Calculus book in the mail yesterday that is so easy. Its Calculus by Marvin L Bittinger. Its kind of like the Blitzer math books in the way it has easy to understand explanations and detailed explanations. I love that it has exercises in the margins next to the explanations. After an explanation, it will say go do exercise whatever and the exercises are right there in the margins next to the explanations. The back of the back has all the answers to the exercises in the margins and answers to the odd numbers of exercises at the end of each section. So there is a lot of exercises in it to do and you can check most of the solutions in the back. I think its probably either a textbook for a course in college level Calculus 1 or a high school course in calculus. Its not as challenging as the Stewart book. But its probably good for a beginner. Mine is the fourth edition. It was a book in college library because it has a old library cold holder in the back. National University Library San Deigo is tamped on the side and inside. So happy with this Caculus book. Its perfect for me.
    18
  3589. It seems like a really nice book. I would definitely read it if I had it (which I unfortunately don't). Anyway, I started with A Book of Abstract Algebra by Charles C. Pinter and it is also a great introduction. For me it is also interesting because it goes also into Galois theory, which is pretty neat.
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  3590. I think most of the people look these videos on youtube just purpose of recalling the classes in school but in your videos we are learning so thank you sir.
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  3591. You're literally saving my degree
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  3592. As a former hater of math (now im studying physics as carreer lol) this is pure gold, sometimes viewing studying as an obligation takes away the joyment of math
    18
  3593. Good explanation!
    18
  3594. This just happened to me, I was in the equivalent of MIT in Poland, and now my physical health is declining, so now I will not quit, but simply change to a more student friendly university...
    18
  3595. This book single-handedly helped me pass DiffEq in undergrad. It's fantastic
    18
  3596. It’s crazy how far math has come, from simple axioms to insane theorems and conjectures
    18
  3597. I think people should learn all basic concepts before taking Calculus. During the time I was in India preparing for IIT-JEE we were taught Algebra before being taught Calculus. I personally think that without Trigonometry Calculus cannot be done .
    18
  3598. Wait until you smell Japanese math books. They're amazing.
    18
  3599. this is helpful, most math geeks will be proud to scare anyone who is not math gifted.
    18
  3600. Sir its christmas! You need to rest!!… But thank you for the videos😂😂😂
    18
  3601. water is good water is good water is good
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  3602. YES absolutely do it. I started in my late 30s and am about to graduate in my early 40s next summer. It changed my life and my career completely; taking me from unstable low paid employment to a very stable very high earning career just before I have even completed the degree. Best decision I ever made. My biggest piece of advice is this: Don't skip classes because you feel behind in your life and are in a rush to graduate. Follow a proper progressive pathway. Twice I have had to go back and complete earlier classes because I bit off more than I could chew in a higher class. We have to put our ego aside and remember that it doesn't mean we aren't intelligent, but it takes practice and application to develop mathematical maturity and intuition properly. Good luck to any of you in a similar situation.
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  3603. The best time to do anything is now
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  3604. dude I remember when you had like only 20k subs lol, Almost at 100k now. Keep up the videos they motivated me to get second degree in maths.
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  3605. I thought this was about Math 55 for one sec.
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  3606. I went to the same university for my MA as my BA. One disadvantage I quickly noticed was that my undergrad and my grad grades were on the same transcript. I had no way of hiding my MA from future employers. Why would I want to hide my MA? Well, it made me "overqualified" for some jobs and for teaching jobs they had to pay me more. Why hire an MA to teach 9th grade algebra, when a BA fits the bill and is way cheaper (per union contract agreements), both with not much teaching experience? I even told them I would take less money. No dice. If I had gone to different schools I could have just left the MA part out.
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  3607. I’m a 16 year old uneducated kid. I’m mathematically illiterate. I plan to not fear the numbers and grow to love them. I plan to learn and study math for 3 hours a day for a year and do this each year with different topics to get my GED, hopefully when I’m 25. Any advice? I’m scared about my future but I can sure try to fix it:)
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  3608. I don't have a problem.. No problems at all. Bookshelf of Mathebooks stares intensely
    18
  3609. OK, trying this one more time. There is a series of books that are in a similar vein as this, that the Math Sorcerer and viewers of this channel might find of interest. They remind me a little bit of the McMullen books, but with a slightly different focus. They are all very introductory and "beginner friendly" thought. They are by a gentleman named Steve Warner, and the titles include ones like "Pure Mathematics for Beginners", "Pure Mathematics for Pre-Beginners", "Set Theory for Beginners", "Abstract Analysis for Beginners", "Real Analysis for Beginners", etc. He also has a number of titles on test prep, for things like the ACT, SAT, AP Calculus AB, AP Calculus BC, etc. I would include links, but I suspect that doing that might cause some automated Youtube anti-spam feature to kick in and delete this comment. But they're easy to find on Amazon or wherever fine books are sold. 🙂
    18
  3610. The gains sorcerer!
    18
  3611. I get all my math inspiration from the Math Sorcerer.
    18
  3612. Sometimes I splurge and cram; other times, I might skip a day. But mostly I try to do a little every day, so I can keep myself from atrophying mathematically.
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  3613. Thank you for one more inspiring video. I am starting university in August (math major), and I am currently going through calculus and linear algebra to be as prepared as possible to achieve high results. I dedicate several hours of the day to studying, motivated by the amount of course material I am able to get done in a certain timeframe.
    18
  3614. Doing a Data Science boot-camp to follow up a Cognitive Science Ph.D. This is a great resourse. Thanks!
    18
  3615. I had horrible problems with anxiety during Calc exams. Thank you for all your inspiration. It is calming me so much and now I can sleep while listening to your vids.
    18
  3616. Great man. He has bless our generation with is talent and skills. He has really inspired me a lot to start my maths and science channel.
    18
  3617. I got this one : "I think my way of u-substitution is better, you can actually understand my method and even my graduate students said they were amazed by my new method of u-substitution." On the exam pretty much everyone who used his method did bad and everyone who knew u-sub got grades above 70
    18
  3618. When I open a really old book, I always sneeze. The oldest science book I have ever found was from 1912.
    18
  3619. Your hair looks like the hair of an 18th century mathematician.
    18
  3620. Holy crap, this saved my life, thank you man, so much simpler than the other 30 videos I looked at
    18
  3621. I got a BA in math in the dark ages and never used it since then. Wanted to keep my mind sharp so I restarted learning. It's coming back very quickly and am enjoying it very much. Hope to get in to some advanced graduate level stuff soon.
    18
  3622. Got my first differential equations test tomorrow and this is exactly what I needed. I am gonna ace this test. Thank you for the motivation !!
    18
  3623. In one sentence: Whether or not a math degree is worth it, depends upon your circumstances and what goals you have.
    18
  3624. I'm making real progress in real analysis thanks to your recommendation (Elementary Analysis, from Ross). About the video: my department doesn't have a tea time, or coffee time, or anything like that, and I've tried to create something like that on WhatsApp, but unfortunately it didn't work out. I'm still a lonely algebrist in a department of analists and Modelling mathematicians :(
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  3625. Feels like a sign from the universe... literally just woke up.
    18
  3626. I got into a Masters in Statistics and Probability without a degree in Math, this last week has been really hard and got below what I expected in grades. I needed to hear this, thanks man. I Hope I'll make it.
    18
  3627. Cuba makes plenty of sense in hindsight, but you have a very convincing accent. My spanish accent is absolute rubbish. Heck, my spanish teacher didn't even get to greetings until the second year.
    18
  3628. But you still posted it Sire Wizard
    18
  3629. I had to do this exact problem as a homework question and fortunately I came across this video! It explained it very well and it made me feel like I was in a classroom again :)
    18
  3630. Just last week one person I thought he was "the thing" in calculus, told me "I had no idea on that maximum or minimum thing, I just did the recipe of f'=0". That's it. You rock, man!
    18
  3631. Trust me, I have a silver at the Asian Pacific Math Olympiad and I did everything by myself. I am trying my best to make it to the indian team this year. I can confirm that self study is the best option atleast for math.
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  3632. youre literally one of the best people i know. thank you for making this video
    18
  3633. This is great haha. Progressively overload the chest with bench press and the mind with math problems.
    18
  3634. Current level of "AI" is nowhere near the level people think it is
    18
  3635. Wow there's a theory of substitutions?
    18
  3636. I'm currently learning trigonometry using Mckeague and Turner. Your videos guide me on what book to use to self study.
    18
  3637. Lol the sleeping is super relatable, my online math class is suffering at it's finest
    18
  3638. It's been a while since calc 2. If I remember correctly, my professor broke the test over series into two parts. It was pretty brutal. That semester, there was a national math contest. One guy came in number 1 and another guy came in number 3 in the nation out of my class. Needless to say the curve was non existent. I made it through though. After that, calc 3 didn't seem so bad the next semester.
    18
  3639.  @TheMathSorcerer  101s for Safety Analyst. No maths unfortunately 😤
    18
  3640. When I, a career EE decided to get a Masters in Computer Science I was gifted Vol. 1 to get me started with the formal approach to the study. I subsequently added volumes two and three. What a nice surprise to see the set profiled here.
    18
  3641. After about 35 years of not opening a math book, I am almost done working the 600 pages of the Pre Algebra and Algebra in on Big Fat Book. There were not many problems in that book, so I ordered the forth edition of Algebra Baldor. Cannot believe I am getting back into math. Seams like a more relaxing and different enjoyable feeling this go around.
    18
  3642. I love these types of videos where you recommend math books for different subjects in math! I recently got both Calculus Made Easy by Silvanus Thompson and A First Course in Calculus by Serge Lang after I had to withdraw from my Calculus 1 course last semester because I was failing with really low marks and both books have been super helpful! Hoping that when I retake Calc 1 next semester that it'll go a lot better. Thanks for making these great book recommendations!
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  3643. Really great video , this can be an motivational type of video in my opinion bc you aren't a math genius that mastered maths from 1yo and got in the university with high gpa . You are a person who dropped out left school and then you found what you love and work hardfor it. You are truly a rare person and every advice you have given its from your experience. P.s. If you have time can you make a video about people who are not math majors and want to learn mathematics by reading books of all types ( and solve problems ) and recommend books websites ? I am a economics major and i consider going for a second degree in Greece. I have in my wishlist math books historical , philosofical and fund reading book.
    18
  3644. A little digging revealed that Forsyth's Differential Equations belonged to Cyril Kingston Clague, BA Cambridge 1898 (Trinity College) and BSc (Hons) Physics, London 1906. He became an inspector of schools living in Leicester.
    18
  3645. Kindly keep posting such type of books reviews , it helps us a lot for gaining knowledge. Great work.
    18
  3646. I really admire your collection of math books. Your book reviews and your take on math topics are my favourite to watch
    18
  3647. To piggy back off what mr sorcerer said, I too have gone through extended periods where I was dedicating almost all of my time to math, for months at one point I had a 10am-2am schedule where I was on campus studying/working the whole time. While fun, burnout is very real. While being this passionate about math is a wonderful thing, take your mental health seriously! Prolonged periods of time where you are alone and frustrated can take their toll. Make sure you eat right, take care of yourself, keep a healthy social life, and remember that getting help in any way is not weakness, especially in math, it is strength! They say that healthy people are happy people, since mathematicians are people, it is fair, and important to remember in my opinion, that healthy mathematicians make happy mathematicians.
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  3648. I love your patience in explaining these things, would love to see more videos like these ones, maybe with gradually harder questions. Thank you again!
    18
  3649. Sir, I have just come across differential equations in my studies and this video has helped me tremendously breaking down and understanding exact differential equations. Moreover, the energy that you project make the video very pleasant to watch. Keep on inspiring people
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  3650. Im always looking for a calculus book which covers the last third of the book. I try to read whole books and I don't need to review limits, derivatives, integrals or integration techniques. Hopefully the book would cover: parametric equations, hyperbolic functions, integration in polar coordinates, integrating over surfaces, integrating over volumes, curl, divergence, gradient, stokes theorm and green's theorm.
    18
  3651. Your constant advice and honesty helps more than you know! Acts as a constant reminder to hold myself accountable for learning in class, challenge myself outside of class, and keep things balanced. Also, like the woods as the backdrop, keeps it chill!lol
    18
  3652. I really like this book. I love the way it's written - everything is so clear and easy to understand. Thanks for sharing this priceless beauty!
    18
  3653. If you believe in the training, study and retain the material, do it cold then it’s going to happen.
    18
  3654. A good sorcerer never gives out his secrets . That includes his name !
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  3655. I logged in to youtube just to say this... Thank you so much for making this video. its miniscule but i dont understand why teachers cant be this clear in the classroom. Its videos like this that i think will get me through calc 3 this semester.
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  3656. Are you a book hoarder? Well, I am considered as such by my parents. Damn, I wish I have another room for books. I collect books on mostly digital art, graphic novels, programming, etc. I have few on maths. Now, I use Kindle and Open Library.
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  3657. When I did my Ph.D. in the UK, way back when, we luckily did not have to do extra examined classes. I don't know if this has since changed. You could attend any classes you wanted which were germain to your work, but it was never compulsorily. However, you were expected to produce a report at the end of each of the 3 years which had its own little Viva by a dept Prof. If you failed to pass muster each year, you were out on your ear. You really were on your own; none of that happy undergrad collegiate malarky; the only point of contact was a one hour per week meeting with your supervisor (If you were lucky!). My supervisor went on sabbatical for a year which really didn't help my plight. Getting a good supervisor is crucial in the UK. If they're duff you're struggling. I also supplemented my meagre grant from the Science Research Council by taking Maths tutorials with the undergrads & supervising Labs in Matlab & Physics. Happily, I passed my final Viva (after a rewrite) and got my Ph.D. But it was very much hard work, and you have to be really commited to earn your degree, shunning all distractions. Also, you have to decide very early on what it is you want to research; to waste time at the start is fatal. I know this is easy to say but I've known fellow students who have crashed out early as they didn't have a clear perspective on what they actually wanted to do. But such is the lonesome life of the Grad Student. I hope that wasn't too depressing!
    18
  3658. I think you should review multiple books regarding a topic in a single video. That way you can compare them and give specific recommendations. And because the videos will be longer, there will be more watchtime per viewer which seems to make the algorithm advertise a video more.
    18
  3659. Personally, I thought calc 2 was the easiest then calc 3 and oddly I struggled the most in calc 1
    18
  3660. One also has to keep in mind that at this time the numerical treament of ODE 's was not really possible ,without computers. The people at that time were used to do very long calculations and became really experts in it.
    18
  3661. Saying "I am going to relax right now" allows me to prepare my brain to get back on the grind with full force later, instead of getting distracted during the assignments!
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  3662. Ed Saff was my professor last semester in differential equations at Vanderbilt. Although I didn’t take Complex Variables, he also wrote a book on differential equations that we used that I also think is really good. It was kind of weird having a professor who wrote the book that we were using for his class.
    18
  3663. This is a very important topic honestly. No matter who you are, at some point, you will become hopelessly stuck on something that you can't wrap your head around. This happened to me my last semester in college when I did an independent study in graduate level differential geometry "Differential Geometry via moving frames and exterior differential systems". I really only had real analysis under my belt for a proofs class, and was in complex analysis at the same time as the independent study was going on. The kicker though, is that I had never studied differential geometry! My initial desire for an independent study was tensor calculus, but it was deemed too trivial by my professor(even I didn't think it was) and he picked this as a good option, and I went with it. The lesson I learned is, is that you will be overwhelmed by a topic if you do not have correct prerequisites and have not put in the time prior to solidifying your previous knowledge. It doesn't matter how smart you are, if you try to tackle complex analysis and you have only taken algebra 1 for instance, even though you have the capacity at some point to learn it, you will be hopelessly lost and demoralized. As you said, it is very important to isolate the things that you can understand, and build from there. For instance, take a couple of proofs or worked problems, and take a week or so and engrain the problems, solutions, and methodologies into your mind by repetition and analyzing the problems on a micro level. This mindset you develop each week of doing this will pay off, and definitely helps in not putting yourself in situations that are overwhelming. That's my two cents.
    18
  3664. Am I not a mathematician yet then? I've never tried my walls with equations, I just scratch them on paper or whiteboards.
    18
  3665. "j" is used as this is a book for electrical engineers, as "i" was a notation for an electrical current in this trade. I found this explanation in "Introduction to Laplace Transforms for Radio and Electronic Engineers" by W.D. Day, 1960.
    18
  3666. I thought it was a video about Abstract Algebra lol
    18
  3667. I check out vintage math books at Open Library where you can digitally burrow them and read online. Membership at Open Library is FREE and borrowing of ebooks is free too. If I like what I see there, I may order copies and buy them.
    18
  3668. I only study for my math classes honestly lol. I also bought math books to learn more and I put hours of work into those too.
    18
  3669. Still doing a little bit of maths everyday. Getting better. 😅 Thanks Math Sorcerer!
    18
  3670. 5:49, Agreed. I don't work with factorials very often in an algebra setting so this video was a godsend, thank you!
    18
  3671. I misread the title as "Can you do too much meth" and was like.....uh there needs to be a video about that?
    18
  3672. In normal times, where do you teach?
    18
  3673. It’s pretty bad when I got an A in this class last semester and I can’t even tell you what a series even is lmao
    18
  3674. Holy cow! I used one edition of Leithold’s book about 1973 for my first exposure to calculus. I remember how elegant and beautiful the contents were. Later i bought a layer edition because my original copy had disintegrated due to damage in storage. Thanks for the trip do memory lane!
    18
  3675. You've got a real treasure there for sure. Courant & his fellow peer, the great Hilbert, were both exceptional expositors of Mathematics. ANY written texts by them are literally CLASSICS! Also noted the Book had a 'Strand' stamp, my fave 2nd hand Bookstore in NY...LOL
    18
  3676. People are afraid of admitting the fact that a specific subject is hard. That's why they say it is simple.
    18
  3677. will you make one for multivariable calculus, variational calculus, group theory and tensor calculus?
    18
  3678. This is a wonderful book but i think it will be better as a second book in this subject to bridge your knowledge. On my mind introduction to mathematical statistics by larsen and marx is the best first book in this subject. It will enrichment your library professor.
    18
  3679. I advise you start making videos where you talk to fellow mathematician or graduate students
    18
  3680. ALL I EVER WANTED ALL I EVER NEEDED IS HERE IN MY ARMS
    18
  3681. Halmos was my professor for Math 196 at UofM in the winter of 1965. We used Calculus by Apostol for Math 195 and half of 196, then switched to FDVS text to finish the term. The honors sequence was not fun for me. My high school used Beberman math from University of Illinois and it stopped at Algebra II in 12th grade. There was no pre-calc or calc. So while I did well on SAT, I was totally unprepared for the Definition-Theorem-Proof teaching of difficult concepts followed by even more difficult homework. I will never forget my first day of college. After covering Apostol chapter 1 in one class period, the homework assignment was prove that there is no field with 6 elements. No gripes though. For me, the hurdle was going to these prof’s office hours and asking for help.
    18
  3682. I have a logs and exp test tmo, this could not come at a better time LMAO
    18
  3683. "it's a conceptual move, not an algebraic one" Smooth
    18
  3684. Bro became Vsauce
    18
  3685. You are an inspiration. I am currently trying to improve my math skills every day, practicing and attempting to read my math books, and you help boost my confidence when it gets hard.
    18
  3686. The hardest undergraduate math class for me, was abstract algebra. I still don't have that great of a grasp on the theorems and proofs. My favorite classes, and most interesting for me, were Intro to Real Analysis (Advanced Calculus) and Complex Variables.
    18
  3687. If anyone is looking for a linear path: Linear Algebra - Strang (mostly the first half) Linear Algebra - Hoffman and Kunze (slightly more than the first half) Abstract Algebra - Dummit and Foote immediately; get through Groups/Rings/Fields and the basics of Modules, with Lang as a reference when you need another perspective on something. I might consider rereading the group theory stuff again at some point further down the track. Structure Theorem for Finitely Generated Modules over a PID: online lecture notes. There are a few good ones out there. Galois Theory - Milne's notes. Stewart and Garling also work. Commutative Algebra - Atiyah/MacDonald. More Advanced Commutative Algebra - Eisenbud. Read as much as you need, when you need it. I have never sat down and read straight through even a full chapter, but I have read many individual theorems/proofs from it when needed to check things off. You may need a little more on integral closures. Many texts blackbox certain important hard IC results, and I recommend "Integral Closures of Ideals, Rings and Modules" by Swanson and Huneke if you ever run into that issue.
    18
  3688. Nice video, keep it up. Right now I’m dealing with partial fractions for Vector Calculus, wish anyone who’s embarking on the same journey with luck!
    18
  3689. You're so right when you say that when we really learn algebra it is in Calculus.
    18
  3690. Learn from the Past. Plan for the Future. Act in the Present. Life is an Integral.
    18
  3691. Thank you for this. As a freshman maths major my real analysis professor is extremely confusing. This video was much more clear even tho im not native English speaker.
    18
  3692. Watching this video as I am reviewing for my exam. I can't help but say "what a passionate teacher!"
    18
  3693. I agree that 3 is a good number of HARD math/CS/physics classes + electives....IF you also want to still get 8-9 hours sleep opportunity, excercise, and have hobbies like playing an instrument...4+ HARD math/CS/physics classes if your life is STEM and you just want to dedicate your entire being to mastery of STEM ( some people are like that). Comes to a point of diminishing return for me. I like having time to play music and running and sleeping..Its worth graduating a semester late and prob with better health...
    18
  3694. It doesn’t matter how bad I’m feeling at a certain moment in life, your videos always make me smile and that’s something very few people accomplish. I’m genuinely happy for having found out this channel. Big love and take care.
    18
  3695. 1) Sometimes I like to verbally explain what I am doing at each step to myself. Out loud. It may sound stupid, but it forces you to process what you’re doing/learning at a higher level. Thoughts can be and often are abstract, but the spoken word is very definite. If something sounds stupid or off when you say it aloud, it’s probably because it is. That’s what you need to review. Don’t let yourself say “and now I’m going to divide by 2 because ... reasons.” If you don’t remember why, you won’t remember at all. 2) Be honest with yourself. This is hard. It is also important. Admit when you are struggling. If you’re truly honest with yourself, and are consistent about it, you can rely upon your ability to judge when you’ve mastered the topic and can move on. It’ll save you time and stress. 3) Make up problems for yourself. Just pull something out of the blue and try to solve it. Make it hard/long. Even if you can’t solve it at first, keep plugging away. I spent hours doing this in lower math classes (algebra, trig, basic calculus) and it was of great help down the road. I realize that you won’t have the time/willingness I did to just play with math, but still. 4) If there is a process you have to learn for a specific problem, generalize it. If you can find a specific method that applies for every problem of a type, boom, you’ve mastered it. 5) Only use your notes when ABSOLUTELY necessary. It’s very tempting to fall into that habit of relying on your note-taking ability instead of your problem solving. Soon enough it will be test day and oops, now you’re stuck because you don’t have your notes. Even if you try it once or twice or three times and get it wrong, it’s better than going straight to your notes. What’s more, it will force your brain into learning more effectively when it’s taught, rather than by studying. That way most things will be review, rather than new, which is much easier.
    18
  3696. Grab a math book and learn it. What a break through.
    18
  3697. Haha -- carried away! I've always "curved" my test grades in calculus and engineering physics because I get way too excited and write what I call "interesting" problems in my math and physics courses. The more tired I am, the more "interesting" the questions are. I try to let my students know that sincerely - the 90-80-70 scale is as arbitrary as the difficulty of an exam. On a lot of my exams a 75% was a legit A grade. z
    18
  3698. I am having exams next week and I felt great overwhelm until watching your video. It helped me reach my tipping point and get myself to sit on my desk and work. Thank you
    18
  3699. Advice for self study due to experience with WGU: 1) Make daily reminders 2) Discipline to get work done (work even if you feel like you don’t want to. Caffeine and small naps can help) 3) Outline the things that need to get done. 4) Rest a little if you get stuck. 5) Don’t forget to come back after you rest.
    18
  3700. Do a lot of math, do a lot of math :D
    18
  3701. This is a good one :) One point is that when taking a break you should have a really different activity. I believe reading something else is not a real break.. Talking about math is somehow different but not completely. For me, I think going to Gym or having a nap works for me :P. Just try using a different tool (other than mind+eyes ) if I would say.
    18
  3702. Calc 2 no competition, by the time I took DE I was much more prepared to deal with the various integration techniques.
    18
  3703. I was very confused how to approach modulus function, Well done. Thank you :)
    18
  3704. Your channel is a little wholesome gem. I have always loved math, but was not able (or maybe not focused enough) to major in math. I love the quiet little world of solving problems and collecting books, divorced from the politics and stress of the world. Keep it up and keep smelling books for us :)
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  3705. never expect to be that easy !!! thank you <3
    18
  3706. Good video, I am 2/3 into advanced linear algebra grad school and falling behind only up to eigenstuff and need to finish up to canonical forms finals in 6w,. Spent too much time on reading interesting things outside the course eg modular forms,umbral stuff etc and not enough on worked examples (we use FIS). Using different sources roman,axler,hernstein helped deeper insights but now certainly everything feels like a mess. Best is to come up with a plan for the day, today I will work more exercises for diagonalization then read caley hamilton then weightlifting then back to math,. GL All keep up the good work
    18
  3707. Thank you for the motivation and the tips
    18
  3708. Such a perfect timing as I'm about to start studying mathematics on my own after during the evenings after work. I really enjoy your channel, please keep sharing with us. :)
    18
  3709. thank you so much! i was having trouble comprehending the way my textbook described it but this cleared everything up :)
    18
  3710. “Turn off this video... or keep watching it” 😂 I love your videos man. Truly motivating. Keep it up!
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  3711. This is the perfect video explanation, ESPECIALLY if you have to resort to self teaching during quarantine. Thank you for using the same chart as an example. The videos my teacher is putting up uses different tables for each thing and it only leaves me more confused. You helped so much. I got every question right thanks to you!
    18
  3712. Yeah, you're right, I've tended to avoid doing math because I'm always scared that i might not be able to do it, and that'll imply that I'm dumb. That kind of does not make sense, because either I am dumb or non-dumb, avoidance wont change anything. But, the human mind is oft times irrational.
    18
  3713. Oddly enough, I can only find pictures of Baldor when he was young. After reading bits of his biography online, he had quite an interesting life! It's no wonder he wanted to keep his identity private.
    18
  3714. The Fundamental Theorem of Calculus will be the hardest thing to gasp. Using the Mean Value Theorem to prove it was very clever. It will be a challenge to new students becuase it requires a new way of thinking. I've not seen a good proof of the second derivative test of Calc3 on YouTube.
    18
  3715. Yeah, life isn't a race. More than that, Math is a universe that don't stop to expand and everybody is capable (with more or less struggling) to make a good contribution.
    18
  3716. Congratulations to you Math Sorcerer 🥳, You've saved my high school life, hope you'll be geting even more subs,
    18
  3717. Learn logic first!! Pick up a book in symbolic logic. Don't sleep on predicate logic . Learn about the rules of inference (especially introducing variables for universal generalization and existential instantiation) that will guarantee that your next statement is correct.
    18
  3718. These videos are lifesavers. I love these! Thank you for your simple and concise proofs. Thank you a ton!!!
    18
  3719. i love your content man. god bless u
    18
  3720. The harder you work, the luckier you become 👍🏼
    18
  3721. had a bigger board back in grade 2
    17
  3722. Oh I really enjoyed this. So many good memories from high school and undergrad. I used the applied physics in high school for excelling in my WEST AFRICAN SENIOR SECONDARY SCHOOL CERTIFICATE EXAMS (WASSCE) and used differential equations in the first year in undergrad
    17
  3723. It's NOT "little"! It's homeomorphic to a very large graduate-level textbook!
    17
  3724. You have a true gift. Thank you so much!! Now I just need to understand pointwise and uniform convergence!
    17
  3725. The Dettman text on Complex Analysis is great: the first half covers the mathematics of the complex plane and all that, and the second half covers applications (physics stuff) of complex analysis. This book coupled with the corresponding Schaum's Outline will help you skate on all of the Riemann Sheets like a pro!
    17
  3726. Nice video. If I might comment regarding a professor commenting on how hard it was when the professor was in school. In my view, the difficult thing to overcome in the bad old days was the quality of the textbooks compared to contemporary texts. Contemporary texts have far more illustrative and instructive graphics, illustrations, and the like. Contemporary texts are often multicolored to highlight important differences and concepts and to bring out important points in graphs, geometry, topological manifolds, and the like. Contemporary texts cover more ground and often in greater depth than texts used in years gone by. The writing style of contemporary texts is often better and easier to read and comprehend, largely because of book editors at the major publishing houses. There are, however, some absolutely great texts from years gone by, but in the decades gone by, they are now somewhat dated. And, relevant, real world examples are often included in contemporary texts. For example, the number theory text (Burton) I had in graduate school was good, but had few, if any real world applications. Contemporary number theory texts include a wealth of beautiful, relevant, and interesting real world examples. When I took number theory, my committee thought there would be no application for the course. Today, the applications are too numerous to site. Once one starts counting the real world applications of number theory, one would never stop counting. Hardy would be appalled! Thank you for your many great videos.
    17
  3727. dudes skin care routine is working beautifully. skin looks so relaxed.
    17
  3728. I'm very particular on how I do my work, if the paper isn't college rule or graph-paper, doing any math feels 10x harder for some reason. It's weird to explain. My favorite pencil to use is my uni Kuru-Toga Elite pencil. Also for self-study, I love your book recommendations. I just started self-studying Calculus and I am using Serge Lang's "A First Course in Calculus" and Thomas' Calculus, I really enjoy the way Lang explains topic and I go to Thomas' for more intense examples. However, I'm currently getting my butt kicked by the Related Rates section(s) so it's a bit draining, having trouble recognizing what parts correspond to each part of the problem😭 Anyways, I completely agree with what you said here, I got into math recently and having all those small things add up is really nice. Are they necessary? Not really, but who cares as long as you are continuing your hobbies
    17
  3729. It's amazing how old books feel soo good to read. You learn a lot from these books and there is a lot of flexibility in what you want to learn. Thanks♥️
    17
  3730. /slams the door down MATH AND BIOLOGY? My two loves? Be still my heart!! 💕💕💕
    17
  3731. I think the "Black Box" approach might be a good strategy in some cases. The "Black Box" approach means that when you don't understand something, you might tell yourself: "Ok, I don't know how and why it works, but I'll assume that it works. I'll come back to try to understand it later.". Then you may, indeed, memorize the steps. This can help you advance now, and later you can make another try to understand the thing. You might need to come back to the thing several times, before you understand exactly why and how. Over time just make multiple approaches, before you finally understand the thing.
    17
  3732. I encourage the viewer's enthusiasm! (It's always more fun to study things that you aren't held accountable for.) Skim through your whole book, cover to cover. There's usually useful and/or more difficult material in the Appendices. Stay focused on the work in front of you, and stay challenged by working the more difficult problems, if they are not assigned. Becoming skilled in mathematics is learned by practice; do lots of problems. Also, study the history of Mathematics and read biographies of Mathematicians. THAT will temper your ego, if the problems don't! (When James Clerk Maxwell was my age, he'd been dead for 12 years.)
    17
  3733. I remember when I firstly encountered the idea of proof. I didn´t understood induction and even proving simple implications like if a natural number squared is even then the number is even and stuff like that. However, reeding through couple of very rigorous text books helped me to not only understand proofs, but also learn to write my own. I also developed little intuition for choosing the right mathod of proof as the basic ideas tend to repeat a lot. (Especially within one theory) Also usally, when you encounter some weird theorem that you would never though of, it will probably be used during the proof of the following theorem haha.
    17
  3734. Self study is extremely complex and it requires more discipline and creativity to get understand the subject.
    17
  3735. What a book!!! Thank you Sir... Love both channels!
    17
  3736. My school didn't have engineering, but I would have thought nuclear engineering would be harder then electrical or mechanical. To be fair, I don't know how much overlap there is between them. I also remember people dual majoring in mechanical and electrical engineering at another university.
    17
  3737. That's what I needed. Give me that undergrad question, "riemann hiepotesis". I believe I can solve it
    17
  3738. Hey man I'm a math major and I just found your channel! I'm really enjoying your videos so far!
    17
  3739. i remember being in a calculus 1 class at university and we had 2 German students come to the class room for a tour. so the professor let the Germans see the material for the subject we were learning that day and they kinda laughed and said "you guys didn't learn this in high school?" and it was that moment that made me realize just how far behind Americans are in mathematics and science compared to other countries.
    17
  3740. I love the dedication of this man. Been following him for a year now and have learnt alot. Big up sir
    17
  3741. I'm a second year Computer Science Student, idk if you remember but I commented that I was going to do maths and comp after transferring but it didn't work out unfortunately. Could you do some videos on advice for self learning mathematics or the best books or path to follow on your own please? Thanks!
    17
  3742. His advice of having a growth mindset is absolutely great! Before I started my journey to learning advanced math, I researched a growth mindset, read Carol Dweck’s book on growth mindset, and found quotes to help me out when I get stuck. I also identified helpful math resources to help explain mathematical concepts when I don’t understand something. There are so many resources available for various math topics. For those struggling in math, don’t give up!
    17
  3743. Person: Starts Calculus I Also Person: Grabs Spivak's Calculus. Also also Person: What the hell is a cauchy sequence? Person: Returns Spivak's Calculus.
    17
  3744. what do you think about Mathematical Analysis V.A. Zorich? This is our main textbook for the math. analysis course at the faculty of mathematics at Moscow state Uni.
    17
  3745. My Physics Prof in 2009: Excluding lectures, 4 hours minimum study/work a day.
    17
  3746. 4:06 okay bro thats actually insane, they're talking about injective, surejective, and bijective functions, what an incredible book for an intermediate algebra
    17
  3747. Amazing sir, I have been struggling with taking online classes and my DE grade was terrible. I'm normally a high grade student but online format has made me suffer. Thanks to your lectures on DE, my grade is rising and I'll be able to do good in the course. I appreciate it a lot!!!!
    17
  3748. One of the TD Ameritrade classes on TA started with the instructor telling us that purely analytical individuals were going to find TA very challenging. I'm in that camp. That being said, I feel those who have mastered TA do have an extra toolset to use with investing & trading. Those who only want to appear to have mastered TA are great at pointing to a past chart pattern and then claiming the result was predicted. But, they aren't very accurate with current patterns and expected results within the next couple of weeks.
    17
  3749. I'm sorry sir, I cannot purchase this, I'm a smol kid:) I will ask my parents though, and try to get it
    17
  3750. lol tech schools in a nutshell
    17
  3751. This!! I hated such word problems too, so I always avoided physics for a long time. But then I found about Lagrangian/Hamiltonian Mechanics, and I loved it. It was almost completely theoretical, which is what I wanted. To conclude: If you are solid in math and hate physics because of word problems, pick up a theoretical text like Griffith's "Introduction to Electrodynamics", etc.
    17
  3752. Yeah I agree, most of it comes from the homework. It's not until like grad school that things start to get a little trickier.
    17
  3753. My best habit was: 1-Have some days to rest and amuse myself; 2-Begin studying hard, analyzing already done exercises; so another couple of days but studying. 3-Repeat again!
    17
  3754. Larson actually has a really interesting textbook called "Calculus I With Precalculus". I recommend checking it out!
    17
  3755. I literally cried of laughter when you brought up the fact that everyone thinks you're some renaissance man if you know some math😂😂
    17
  3756. Congratulations for your channel brother, very powerful content. I have been watching you for a significant amount of time through your videos. Being an engineer is a very serious business and it requires effort and determination. Bear in mind that in order to succeed in your studies you have to become strong in your mathematical knowledge. I can name two men who were engineers and became mathematical legends : Norman Levinson and Stefan Banach. By reading their biographies I came to the conclusion that being an engineer is something that requires years of sacrifice, patience and determination. Keep up with great work brother and I hope that your channel grows even more. I also have a channel producing content and any feedback from you would be highly appreciated. Have a nice summer my friend!
    17
  3757. Finding good books for studying is hard so I apreciate these book reviews, currently in diff-eq and statics and I still struggle with trig
    17
  3758. laughing the whole time at this video, but honestly massive respect to this guy!
    17
  3759. I'm taking real analysis this year and this video was exceptional in helping me understand the problem. Thanks.
    17
  3760. For Gamelin & Greene, basic analysis is a must. Both authors have a background in complex analysis, so there is a heavy emphasis on metric spaces (1/4 of the book).
    17
  3761. I wonder when that 3rd edition was published haha. I studied out of the 11th edition like 5 or 6 years ago. The applications version of the 11th edition has a whole chapter going over 20 different applications of linear algebra! Toward the end of the semester, my teacher had students choose an application (or section of the book we didn't cover in class) to present as a project. Fun times. Yup, this is good first book for linear algebra. Two other ones I like are "Linear Algebra and It's Applications" by David C. Lay and "Linear Algebra: A Modern Introduction" by David Poole. A good differential equations/linear algebra hybrid is "Differential Equations & Linear Algebra" by Stephen W. Goode.
    17
  3762. I might get that book. I have a math BA but I know nothing of this field of math.
    17
  3763. He has done so many heavy math problems that made this guy shredded!
    17
  3764. Sir I am 14 years old. is this time is good for improved my mathematics because I am very very excited for learn about advanced calculus, linear algebra, statistics and other chapters. I feel about mathematics, mathematics is my life.
    17
  3765. That guy from the class he mentioned was me. Test anxiety is a real thing y'all. I'm glad you've been helping people math sorcerer :)
    17
  3766. Ver clearly explained. It's 2021 and you're still helping people. Great work.
    17
  3767. All of my calculus classes are right after lunch, I fight just to stay awake
    17
  3768. 4:20 time travel is mathematically possible, google- Traversable Acausal Retrograde Domain in Space-time
    17
  3769. Actually Fibonacci didn't discover the series, he himself gives credit to old masters in Liber Abaci.
    17
  3770. I have been homeschooling my son on math. I bought the same book (Algebra and Trigonometry) and the solution manual few months ago. It fills some of the gaps. He learned Algebra, Geometry, and Trigonometry using the 20 Minutes books (easiest for kids) and NY Regent books (practice).
    17
  3771. Me: I'm terrible at math, I just can't get the grasp of it. Self Proclaimed Math people: Math is so easy! Me: Then can you help me. I'll pay you to tutor me! Self Proclaimed Math People: Um yeah incoherent mumblings Other self Proclaimed Math People: Oh okay yeah proceeds to explain things so fast that it doesn't make sense Math
    17
  3772. I can see in you the intense passion for teaching. Thankyou!
    17
  3773. Polya is a Hungarian surname and the L is silent. The correct pronunciation is just simply Poya. Thanks for sharing your experience with this wonderful book from this great scientist.
    17
  3774. I used Sullivan for precalculus and I love it. It's just so organized. Each section is divided into titled subsections. Each lesson also shows the concepts you'll be using for that particular lesson and will have the page numbers so you can review them in the appendix. Also the ebook version is very cheap. Less than $20, I believe.
    17
  3775. They have an expression in Southeast Asia: "A man lost in the Jungle long enough will beat down paths going everywhere". I was reminded of that yesterday when I was doing the Calculus II section of Volumes of Solids. I was working out of Thomas Calculus 12E and the FIRST problem in the Exercises for that section had the function the square root of X, BUT the Cross Section measurement related to the squareroot of X wasn't the SIDE but the Diagonal, you know, WTF!? But I've been in this Jungle before, right? In Algebra we learn about transposition, that is, moving equalities around on a graph, or scaling equalities into proportional similarities. Who cares whether you do the problem as stated lined up on X and Y Axises, when you can do it conceptually by LEANING it 45 degrees... same answer, right? But Diagonals are long and Sides are short, so what's the less than one coefficient going to be? Trig to the rescue: if your diagonal is 1 then your side will be 1 over the root of 2 (or the root of 2 over 2... approx .7071 (in Electronics that is RMS AC Voltage for a 1 Volt Peak to Peak). So I got an answer and then checked the Student Solutions Manual (how to spend good money for kicks in the azz: buy those Student Solutions Manuals) and the Grad Student who they tricked into righting that thing simply had the Usual Function Work divided by 2... again WTF!? Well, the way we usually approach Calculus is through Algebra and Trig. Most programs never even bother teaching Geometry any more but Geometry used to be a big deal. Now a principle of Geometry is their are two ways to split a square in half: a line half side perpendicular to the half point on the other side, OR diagonally. Now, if you put a point on the midpoint of every side and join those dots with lines to make a smaller square inside the larger square, welll, look at the triangles you created: half of them are inside the smaller square and the other half outside. The smaller square is half as large as the bigger one. In the same way if you use the Diagonal of the first Square as a SIDE to a second larger square, well, guess what? It will be twice as big. SO, I kicked myself for not seeing that Short Cut to the problem, that I could have just did the problem like I misunderstood the instructions, and then just multiply by two when I realized "Oh, they said Diagonal". My point is that "I've been lost in the Jungle so long that I have beaten paths to almost everywhere". I'm no smarter than I was when I started out.... just more experienced.
    17
  3776. I have a copy from 1978 of the CRC Handbook of Chemistry and Physics. THAT'S a book!!!
    17
  3777. as von neumann said, “math isn’t something to understand, it’s something to get used to” or something along the lines of that. (you kinda get the point)
    17
  3778.  @TheMathSorcerer  Jokes aside, your videos are really good and they have helped me feel confident that I want to go to math graduate school and pursue my dreams as a math professor! Thanks for making them, I really appreciate it.
    17
  3779. You really remind me of Sal Khan from Khan Academy! You love teaching and it shows in your videos! Thank you for the helpful advice!
    17
  3780. At my university, it takes about 30 classes including Calculus 1 through Linear Algebra & Diff Eq to get an undergrad in electrical engineering, and for masters its anywhere between 9 and 16 more classes depending on area
    17
  3781. While it is good to not to underestimate one's mathematical ability, it's also equally necessary to not to overestimate one's mathematical ability to, for that equally as well leads to downfall. I tell this from my own personal experience when once after scoring a 100% in math test (I was a very weak student in math earlier and only became better through personal tuitions given to me), I became so overconfident in my math abilities and the new found logical thinking abilities that one gets by solving math problems, that I started taking my studies lightly, and that ultimately, over the years, led to my downfall academically and later even professionally. The age old adage of "pride comes before a fall" holds very true in my respect. So, now it's very hard for me to get back to my original academic self because of all those years gone wasted.
    17
  3782. I used various editions of Thomas in high school and college (the 1970s and 80s). We had the answers to the odd problems in the back. In college we could buy the solutions manual, which showed how to work the problems.
    17
  3783. When I was in college in the '70s and '80s the campus newspaper did a survey and had the students vote. Math was ranked the hardest major, with physics second. The easiest major was liberal studies. One of the drawbacks to being a math major was when I got a part-time job teaching at a community college. They had chemistry, biology, physics, engineering teachers, all teaching math classes, in addition to their own subjects, while math teachers only taught math. Plus, at the time, industry was laying off engineers, so a lot of them went into teaching. They were actually given priority in hiring, since they had "real-world" job experience. So, someone who never wanted to be a teacher and didn't even have a degree in math, was given preference to teach math over a real certified credentialed math teacher with a Master's degree in Math!
    17
  3784. I'm no math expert, but I am am expert on BS!! And your analysis checks out!
    17
  3785. I would love to see a course/book that taught concepts of calculus along with bits of algebra or geometry. Derivatives are so damn helpful for all of algebra I feel, and being comfortable with notation early on would be nice.
    17
  3786. thank you so much you just saved my life!
    17
  3787. This video is the maths equivalent of "JUST DO IT!" :)
    17
  3788. Thank you for you great suggestion, and i am going to include this book in my next recomendations for students. I studied Electrical Engineering and approved in Calculus easily, but i recognize it must be teached with discipline, focus and humble. I wish to be professor, and i always search good path for students, because i was a student in past, therefore, i must know how hard is learn calculus for normal, common students. Greetings from Brazil 🇧🇷
    17
  3789. I love this book. The more people who learn from it, the more likely mankind has a bright future.
    17
  3790. How about doing math on the treadmill?
    17
  3791. I am simultaneously relearning Prealgebra and learning Discrete Math. Rosen’s book is so dense that after 3 months I’m on something like section 1.3. Predicate logic, existential and universal quantifiers. Granted this is a hobby.
    17
  3792. Math is easy and fun
    17
  3793. In my Irish university maths course, I've never seen anyone use a pencil! I think it may be a cultural thing to some extent, we only really used pencils when we were kids
    17
  3794. This video is art. I feel like doing mathematics is sometimes more similar to art than science.
    17
  3795. The good thing about the trigonometry workbook (from using it so far) is that there are so many questions and nice succinct explanations. This means that you practice until the problems become mundane and natural rather than rushing through the material in a haphazard manner.
    17
  3796. Tips 1. Study for one hour at least each day and increase hours gradually. NB: Hello there! Am your misery and secret maths tutor and don't tell anyone. Thanks
    17
  3797. Thank you brother; seemed like you started to go deep in Maths at a more mature age, correct me if I was wrong.
    17
  3798. Buying a big white board and doing math on that will make you better at math then doing it on a tablet or pen and paper , the more hand you use the better it sticks in the brain .
    17
  3799. I must spread the good news.
    17
  3800. "Open your mouth, I'm going to put this inside your mouth", oh god I literally choked, literally, I would've totally screamed and laughed but it's 4 AM here xD
    17
  3801. 🎶 "Mama always told me not to look into the eyes of the sun, But mama, that's where the fun is!"🎵
    17
  3802. That discussion on the Russell paradox makes me recall the Simmons' book on topology.
    17
  3803. Mood, I had to take pictures of my answers on my phone, email them to myself, access them on my laptop to convert the format and then submit with a 50% chance of working lmao
    17
  3804. I been only taking 1 per semester, and its an overload.
    17
  3805. There is a mismatch with your Lang books. The Algebra book is way beyond (in my opinion) the difficulty level of the other books. The better choice would perhaps be his undergraduate algebra book first, then on to his famous Algebra book. The whole reason for using Lang's "A First Course in Calculus" is because it's easier to understand and workout the excercises by yourself. The idea is to move on to "A Second Course in Calculus" and the his Analysis books. "A First Course in Calculus" is now in its 5th Edition and is about 700 pages that includes answers. Anyway, Serge Lang is a great choice.
    17
  3806. thank you!! this video answered my biggest question that I didn't know I had until the night before the test
    17
  3807. The book deserves an introduction written by Sauron.
    17
  3808. I am a high school student studying analysis, I got to learn a lot from your collection thank you and keep posting videos.
    17
  3809. Trigonometric identities were my bread and butter when I was taking courses about signals and systems. One of the basic operations is multiplexing two sinusoids, and knowing how to rewrite sinusoidal products is absolutely necessary to make the calculus workable.
    17
  3810. Could you go through a proof of the orbit stabilizer theorem? I have been self studying group theory from Joseph A. Gillian Contemporary Abstract Algebra and have been struggling to understand this proof.
    17
  3811. Video length 3 min 14 sec is kind of pi.
    17
  3812. Omg. This is the same feeling that I had entering college!! Four and a half years later and I am about to finish my Mathematics Degree this semester! I am very surprised at myself for being able to finish a degree I had no faith in to begin with. 🥲🥲 To the person! You will be challenged ! You will want to change your major but don't give it up.
    17
  3813. In my experience, it is the Sequences and Series that causes people to struggle in Calc2. Most students I've seen taking Calc2 had basically no prior exposure to sequences and series. And I've seen calc2 classes that didn't cover sequences and series and those students overall didn't consider it difficult. When all you learn is basic integration, it's very similar to Calc1. I also agree with the fact that Diff Eq is a second round of exposure to things that were brand new in Calc2, so for many people it may be easier for them.
    17
  3814. Unfortunately, I see a lot of young very smart students in math living and dying by their grades. It worries me that all they care about is having that "A". As we all know, one day they will be in a class where the class averages is a 26 or some small number and the "C" or "B" they end up with will hurt their motivation. I truly see a lot of young students stressing to the point of depression over an "A".
    17
  3815. Since you asked, Bjarne Stroustrup is pronounced "bee-yarn-eh strow-strup" . How do I know? I've talked to him several times (used to work where he worked).
    17
  3816. Also, to add on to your remark about how sometimes there isn’t a lot of information on the internet about particular exotic ideas in a field. You know you’re on the right track in your progression to an expert when information gets more and more scarce and you are required to talk to experts in order to gain the desired knowledge.
    17
  3817. some of these things are obvious but I'm never sure about how detailed the proof must be in order to be taken as correct (for example in a test)
    17
  3818. “Stay strong my friends”, strong words from a powerful mentor. Yeah this was great, awareness of lessons that shape our lives
    17
  3819. That's a really good rule of thumb, one prof of mine does this. It should be common sense.
    17
  3820. Sir... That is good that you were appreciating that boy speaking with you.. Otherwise here in my country.. Most of the teachers just keep students shut their mouths ... U are a Real teacher...
    17
  3821. I procrastinate by watching videos on how to defeat procrastination lol.
    17
  3822. I share a lot with the questioner, I'm terrible at math but I really like it. The concept of math and what it can do has always fascinated me. What I would like to do is to get a computer science degree but I want math as a minor, I really want to get better despite not having made much progress. I just want to say thank you math sorcerer, the references you've provided and the time and effort you make into teaching this subject is incredible. When I take the time to make true progress in math I am sure that I'll look to you for guidance. Thank you for your hard work
    17
  3823. i find hypothetically, the two of what seems to be normally called applied and pure, go great for each together. Considering applied seemed to give me context on pure math. Which seemed to help me really understand it through its purpose or utility. My two subjects. ;)
    17
  3824. Great review friend! I actually have all of Chris’s books from prealgebra through the multi variable calculus. I wrote to him, through his website, when I started my journey to relearn math and he gave me some guidance on how to use his books. Now that I’ve moved on to Algebra, I’m reinforcing prealgebra but using the prealgebra workbook.
    17
  3825. Yes. That is why, in the 2 Apostol books of Calculus, in Calculus 2, first linear algebra is taught, and only then comes multiple-variable calculus.
    17
  3826. You really enlighten people man.
    17
  3827. Maybe if that Physics thing didnt pan out so well I thought Feynman had potential as a comedian.
    17
  3828. Fantastic content as always, mate! Grounded, realistic, and STILL inspiring.
    17
  3829. Thank you professor. I have many Mir Publisher books. I think these books have deeper explanations than western books.
    17
  3830. I love finding out people I admire are high school dropouts just like me. I think I was just a late bloomer. Now I'm struggling through analysis. Not sure when it's going to get easier, but eventually it synthesizes. In my cooking career it took me 10 years to feel like I knew what I was doing, and I did it every single day. I got really good at what I did and was eventually able to mentor people with less experience. Whenever I feel like giving up on math I remember how long it took to get really good at cooking and I realize that this just takes time. I had to take 25 years away from school to begin to understand how to use my brain in that capacity.
    17
  3831. This is so neat! Congratulations, Professor!
    17
  3832. I want to learn math so badly! But uff this final year of college !!
    17
  3833. Depends what exactly you are doing when you cheat. I tend to not want to cheat because I feel like it gives me less opportunities to learn. However, if there is homework(to deliver) that I can't grasp after hours (I'm only starting math in uni), I'll ask a colleague whose abilities I trust and I'll analyse what they did and use that as a learning opportunity. Yes, possibly I'll copy what he did (for the most part). But sometimes I can see alternative solutions after getting that initial push.
    17
  3834. This video is exactly what I was looking for, thank you
    17
  3835. I would want to learn mathematics, but I was so bad at it at school. Wish someone could help me with it and pick it up since 24 years at least. Also chemistry interesses me.
    17
  3836. I took DiffEQ after Calc III. I took Calc III with Linear Algebra, though. But this was 36 years ago.
    17
  3837. I’ve used calculators like that throughout high school. I couldn’t type fast enough compared to all the others who were more experienced. Interesting video, by the way. May God bless you and your channel.
    17
  3838. Sorry. Did not watch the whole video, just want to drop a like so it has engagement and math sorcerer reaches 1 Million subs.
    17
  3839. When teaching yourself, I think it's important to assume that the "student" has a weaker background. For example when "teaching" open mapping theorem, one can assume the "student" is not that familiar with topology etc. Because by doing so, one was forced to have a better understanding of the related topic.
    17
  3840. Nice I think it was manageable and the easiest. But proving the theories is the hardest I guess even in elementary geometry or algebra
    17
  3841. LMFAO
    17
  3842. Learning math is like water destroying rock, it will take time but ultimately will destroy it ;-)
    17
  3843. The second edition of Thompson's book that I have has an Ancient Simian Proverb before the preface, which says: What one fool can do, another can. :D
    17
  3844. I can confirm this is right, I study maths by myself for fun because I read in advance a little bit of the math book and I get excited for learning how to solve those difficult problems. I can't describe the happiness I feel when I solve something I used to see as an almost impossible problem, I feel capable and self-confident. :)
    17
  3845. Thank you for introducing us to this book and Dr. Prince.
    17
  3846. I don't speak too much English, but I understood you, Thanks.
    17
  3847. thanks for sharing
    17
  3848. Not that helpful in my current physics studies but always still good to know!
    17
  3849. Thank you for the post, Professor. A withdraw is NEVER a fail.
    17
  3850. I want to thank you so much. I really wanted to learn math but didn’t even know where to start. I watched your video on how to learn from start to finish and it helped me a lot although I haven’t read all the books yet nor have I really mastered the ones I have learned I still remain consistent and teach myself new concepts in math and re visit ones I have gone through everyday
    17
  3851. This is so useful! I haven't taken a calculus class in about 5 years now, but recently my college has required me to sign up for calculus 3, so I have a lot of catching up to do.
    17
  3852. "If you really want to be prepared just practice every problem in the book" Actually how it is sometimes lol
    17
  3853. Hey! I have a question regarding your clac 3 course at Udemy. I recently bought, but was wondering how different is the material on there vs the material that are taught in a college calc 3 course? Also want to say I’m obsessed with your videos!!
    17
  3854. There is never an end. Maths is a very huge subject.
    17
  3855. Much needed. Thank you. Thank you for all your videos as well.
    17
  3856. I learned how to sleep standing on the bus to and from campus....NEVER sit down, you'll miss your stop. :) Jim
    17
  3857. Terence Tao is the best living mathematician in the world. His Brain at 3000 Hz, Mouth at 60 Hz, A Genious.......
    17
  3858. I wish I had you for mathematics. You’re Such an amazing teacher.
    17
  3859. 3:33 get rid of the square root, hahahahaha if i wrote that in my exam, my teacher would get a stroke lmao
    17
  3860. NOT ENOUGH PEOPLE ARE SAYING THIS, THANK YOU FOR THIS
    17
  3861. Thank you for your service
    17
  3862. I hope you read this: I purchased your Udemy college algebra course and Trig course. I passed college algebra with a A.(after previously failing the class). Your trig course helped me blow through my Trig class. I am currently studying pre cal and we are learning about this theorem right now. you took me from remedial math courses to acing college level classes . Thank you .
    17
  3863. I have felt like giving up a few times this past term. I'm taking my first proofs class, and it's a whole different beast than a calc exam. I have definitely asked myself why I am doing this, but the answer keeps me going: Math is important, it is powerful, and there need to be more math teachers who remember the struggle and aren't jerks. Wish me luck on my calc 5 exam in the morning!
    17
  3864. Very good. This paper is about Carr's book and Ramanujan. "The Influence of Carr’s Synopsis on Ramanujan" by Bruce C. Berndt. which appeared in the conference proceedings "Number Theory and Discrete Mathematics" 2002. Math Sorcerer, I just emailed you this paper.
    17
  3865. I needed to hear this today.
    17
  3866. I can't do proofs. Always stuck at just looking at the exercise 😂
    17
  3867. Sir, I watch your video and my interest to math is upgrading... ❤
    17
  3868. In my university : 1) the first one is just a reality,everyone takes notes there is no way around it 2) most of the teachers dont leave homework-some do but not all and its definitely not enough for classes like Algebraic structures 1&2(ring theory ,group theory) 3) I don't even know what a review is hahah
    17
  3869. All Sciences require MATHEMATICS!!! Specially ENGINEERING!!!
    17
  3870. Sir would like to show all of your books on your bookshelf, just behind you.
    17
  3871. I always watch these videos as a pregame for my Calc hw
    17
  3872. He ascended to a higher dimensional plane.
    17
  3873. I would add that if you look ahead to courses you will be taking, then over the breaks between semesters find a cheap used textbook for that subject/s and start working with the material. I'm taking Trig this spring semester. I used my 5 week winter break to get a textbook and I've taught myself nearly a third of the course material. I did this with College Algebra and got a high A in the class. It works, but it takes some dedication.
    17
  3874. Woman: My husband is being abusive Police: What! How? Woman: He put absolute values inside lim and created an inequality Police: Send the K9 unit
    17
  3875. I honestly enjoyed the multi page solutions. They are incredibly satisfying to finish and look back on, especially after a couple of years
    17
  3876. Am always first
    17
  3877. Sometimes I feel like people don't understand that they ARE good at something. Even math. EVERYONE is good at some type of math. They may not call it math, they call it budgeting, or perspective drawing, manipulating objects. This is the hill I am willing to die on. I like to make the students I tutor understand their strengths and weaknesses. It just gives you places to work on. My students are always shocked when they see me count on my fingers for simple arithmetic just because I have a bachelor's degree and I'm finishing my master's with a dissertation on Fuchsian groups and rendering them into 3 dimensions. I have to sit down and tell them that I am no smarter than they are. I don't like it when people think I'm super smart. My husband used to tell me I was super smart, until I explained to him that I cannot understand laws and procedures the way he does. He's super good at arithmetic and even geometry, even though he doesn't call it that. Heck, even physics students sometimes like to say they are bad at math, but they can tell me which direction electrons are flowing in a wire if you reverse the charge. Chem students are the same way. I've seen philosophy students just throw their hands up at basic algebra, but if I present them with something out of my modern algebra book, they can form a cogent argument. It all comes down to how math is really approached when students are in their formative years. It isn't always just memorization, it's logic and puzzle solving, it is so many things just under an umbrella called mathematics. Teaching students that math is everywhere gives it less of a daunting/elitest vibe.
    17
  3878. I love when I get Probability greater than 1 in exams.
    17
  3879. Always thought of IQ to mean that one person learns faster relative to someone of lower IQ when presented with a novel concept. However that assertion doesn’t actually prevent a person with average or below average IQ from eventually grasping the material; like your lifting analogy suggests!
    17
  3880. Piano music just a wee bit distracting
    17
  3881. Watching this before calc one to see what ive signed up for.
    17
  3882. You could almost say that math is the only subject that is sane and objective.
    17
  3883. It would be really cool if you did a video on the philosophy of math, or had a discussion with a philosopher of math/philosopher that researches philosophy of math.
    17
  3884. I agree!! Lately I've been moving slower in my classes only so I can go through each step and really understand it, not just memorize that. Thank you for this!
    17
  3885. I'm super happy that he's telling the students what kind of difficult questions to expect for their exam. My exams have been given by surprise and never a study guide.
    17
  3886. Bro has lighting from heaven. BTW, I started watching your video a while ago.. I really liked your content and educational advice. Love you bro ❤
    17
  3887. +1 for extra textbooks on topics. Totally helps. Pro tip: go to your school library and check out books related to the topic you're studying before buying. Even your local public library has textbooks or can get them through interlibrary loans. Odds are some author has explained a topic in a way you understand so DO NOT rely on a single resource. Also join or form a math club. Good luck!
    17
  3888. That book sure is one of a kind. It gives you actually detailed information about a particular topic.
    17
  3889. Don't forget the fundamental theorem of Engineering: sin(x) = x. And its corollary: cos(x) = 1.
    17
  3890. Losing once will not guarantee you're a loser. Losing once and giving up will leave you a loser forever.
    17
  3891. I was self-studying functional analysis and fourier analysis over the summer. I ended up burning myself out due to studying M-F. I took about a 4-5 weeks break. Not proud of it but I just recently started studying again and I feel refreshed! Everything feels clearer when re-reading the mathamatics. I highly suggest everyone to not study too long and if need be, take a break! Remember, you study math because you like it!
    17
  3892. Got it! 91% on my final :)
    17
  3893. I decided to go with Gallians book and I love it so far. Since I'm learning alone I really appreciate the examples :)
    17
  3894. In a textbook most paragraphs contain only one knowledge item that the author wants to transfer. I use to highlight them. After each section I write a section summary. These are the facts I need to learn. After each chapter I write a chapter summary which ties together the section summaries. These create overview and help bind together the knowledge.
    17
  3895. I just wanted to be good at math, not to be a mathematician. This video made me a mathematician. Sick content Socerer!
    17
  3896. If you have access to a good amount of quality data, you can probably create reasonable mathematical models. Information from those models can then be used to adjust/fine-tune your trading strategy.
    17
  3897. I like this channel because of the books he suggests. I actually try to find the books in these videos. I discovered Blitzer AND Dover books through these videos. Its good to know other people like to buy math books too and do the problems. I came to these videos just wanting math books for Algebra, but these videos have made me interested in math besides Algebra and caused me to buy books on topics like proofs and calculus
    17
  3898. Thanks Math Sorcerer each video is a huge help for each one of us that have problems being focus on Maths.
    17
  3899. Hopefully. I just finished mine.
    17
  3900. This was a fun brain exercise this morning to have with my coffee. I knew where the flaw was right away, but knowing where a flaw exists in a proof is so much different than knowing why it is a flaw. But it's the first step to figuring that latter part out. I find a lot of times I can see the flaw in my logic, but I have to take a mental break for a bit to figure out why there is a flaw in my logic. It's sort of like seeing that something is but the steps from point A to point B aren't clear.
    17
  3901. Ah yes the classic
    17
  3902. As long as it’s not illegal or anything
    17
  3903. Dude question 20, you're a madman lol. This reminds me of the tests my calc 2 professor used to give me, he always assured me it was for my own good.
    17
  3904. This is one of the major problems I’m having with mathematics. Some days I would do math for like 5-6 hours while on others, I barely open the textbook. Your videos have been helping me though, so thanks!
    17
  3905. I totally agree! My math sank because I was too closed minded in the past. Today I have a much broader and deeper understanding for having an open mind even in fields like physics and engineering.
    17
  3906. Mathematics has the extraordinary power to reduce complicated problems to simple rules and procedures. Therein lies the danger in teaching mathematics: it is possible to teach the subject as nothing but the rules and procedures—thereby losing sight of both the mathematics and its practical value. Fluency—the ability to carry out procedures such as expanding, factoring, and solving equations—is important, but too often students do not see the purpose or structure of the procedures. Strategic competence and conceptual understanding in math mean being able to read math expressions and equations in real-life contexts, not just manipulate them, and being able to make choices of which form or which operation will best suit the context. They also mean being able to translate back and forth between symbolic representations and graphical, numerical, and verbal ones.
    17
  3907. I admit: I watched this video mainly to see if you were really claiming that mathematics has a finish. (Kinda sad that you didn't include anything about number theory.)
    17
  3908. In the show top gear they presented cars In nature documentaries they present us with a plethora of knowledge on nature. Here the math sorcerer does the same presenting us books and every knowledge needed on math and sometimes life. We cherish all the great content you create.
    17
  3909. I hate when math teachers do this. Makes me feel like an idiot when I dont understand it. You know that feeling you get? That "Everyone in my class is on board, and I'm the only one who's in the wrong room-feeling"
    17
  3910. Can't really thank you enough for this explanation, I'm really glad I stumbled into your channel :)
    17
  3911. download adobe scan
    17
  3912. A "math sorcerer" should know there is no end necessarily
    16
  3913. "ancient technique , hard-core maths , toilet paper function "
    16
  3914. This is a solid like from me. Thank you, I was looking for something of this kind! In Italy there's an author who wrote "Chiamalo x!", a similar one in scope, but the one you reviewed seems to go more in depth
    16
  3915. True, so true. You have to LOVE MATHS: otherwise maths would be boring and meaningless. I choose maths over crosswords or sudoku.
    16
  3916. I stopped my calc homework to watch your video. The problem of the sin is in my problem set for the week :')
    16
  3917. Don't miss these two gems on PDEs and Green's functions: 1. Elements of Greens Functions and Propagation by Gabriel Barton 2. Mathematical Methods for Physics by H.W. Wyld They both contain great stuff with systematic treatments of inhomogeneous problems. And both include the beautiful calculation of radiation by moving sources, from the retarded solutions of the wave equation to the calculation of the Lienard-Wiechert potentials to the evaluation of the fields for several important cases.
    16
  3918. Discrete Math is essential for programming
    16
  3919. They used the book to teach C in Moscow Institute of Physics and Technology in 2005-2011. That probably at least partially explains how I've ended up being a Solution Architect while holding a master degree in applied math and physics :)
    16
  3920. I am self-learning mathematics alongside my job. My background is in IT. I took it upon myself, to work through the first 6 chapters of Stephen Abbott's, Understanding Analysis, last year. I have a friend, who studied math, so I send him my proofs for verification. It's taken me rather long to work through basic analysis, but I am feeling more confident to work through the book by Capinski - on elementary measure th. My aim is to enroll myself for an applied math course at the end of 2022. I find your channel so refreshing and inspiring.
    16
  3921. Could you please elaborate on why it's so hard? I would really like to have more information. Is it so much harder because its a higher workload, the course content is more complex or what .... thanks!
    16
  3922. Very inspirational talk. I left school back in 1984 and have recently rediscovered my interest in maths. The trouble that I've found is that I wasn't really taught correctly back in the 70s and 80s. Teachers back then, here in Australia anyway, tended to dismiss those students who didn't show an aptitude for a subject, or who were not in the schools good families list. So I am finding that I need to go right back to the foundational subjects of maths. And that can be hard. Especially in finding the motivation to go that far back.
    16
  3923. lol at 1.01 what was that TIIIMMMESSS the derivative
    16
  3924. The Math Sorcerer on his way to build the Integral Mansion
    16
  3925. English is not your first language??? You never stop surprising me, Math Sorcerer
    16
  3926. I don't know if you've heard of it, but Algebra: Chapter 0 by Paolo Aluffi has become my favorite book on Abstract Algebra. You should check it out!
    16
  3927. It‘s for beginners. Though meanwhile I’m far beyond beginners level in discrete math, I own the fifth edition of Epp‘s book because of its inherent beauty. 🤓
    16
  3928. Wizard, I don’t think a video could cover the width and breadth nor summit of how it works but, True intelligence is taking a hard subject and distilling it for everyone to understand that’s true genius.
    16
  3929. So crazy because I was researching what I should learn in mathematics next! I’m an engineering major and I’ve taken Elementary Linear Algebra, Ordinary Differential equations, and Multivariable Calculus. I’m curious about statistics because I will take a statistics class for engineering and a math methods class for engineering. I do not want to stop learning math because I love it so much. Should I continue to learn about statistics or should I go down discrete mathematics, math proofs, real analysis ect. Maybe learn about PDEs or complex variables? It’s very confusing which one I should do or how a math subject is relevant to me and engineering. To be more specific, I’m a mechanical engineering major. I’ve been watching your channel since I went back to college and started taking college algebra! That was two years ago! Maybe a minor in math or statistics is in the works whenever i transfer to ASU a 4 year university. Thank you!
    16
  3930. when i switched from a philosophy and politics degree to a mathematics degree this is what helped the most. Would spend whole days playing with functions, derivatives and integrals until i understood why things worked etc... ended up dipping my toes into real analysis was a good time
    16
  3931. I read about this all over the internet for an hour and you clear it up in 10 minutes--thanks!
    16
  3932. Powerful video, I wouldn't have said it better! I believe in Leandro and I sincerely wish him the best for him and his family.
    16
  3933.  @TheMathSorcerer  Greece. You do get free university after some challenging exams but it's pretty bad. You go to 200-people lectures, sometimes sitting on the stairs, most of the teachers won't even give you homework and after all that you go to the finals. It's a pretty strong degree but you end up wasting +2 years on average just because you need to learn stuff on your own and answer your own questions.
    16
  3934. THAT'S SO TRUE! SOMETIMES I'M TRYING TO COMBO A PROOF I have never done before,and I try to do it in a "cool" style, and it usually ends up in two ways for me. First way: silly mistake Second way: I cannot think of anything, and I blindly substitute, I blindly apply the theorems, and the proof goes nowhere! By the way sir, you're looking amazing and fresh!!! I was bingeing all your videos, and I trying to learn LoL as well!
    16
  3935. My man got the hidden formula
    16
  3936. Ahh, I love just getting marked wrong on tests with no explanation whatsoever
    16
  3937. When I took a lower division linear algebra class I felt devastated because I got a C and the professor told me a C in this class is an A in biology or business class, don't feel too bad. But anyway life goes on. Can you talk about physics and math. They are related but some math students hate physics. Also can you talk about applied and pure mathematics. A lot of people think that applied mathematics is solving real life problems but in grad school applied mathematics is applying theory to solve theorical problems at least that was my experience at ucla.
    16
  3938. I'm starting graduate school in Fall this year and I'm extremely introverted. I'll take your advice to heart.
    16
  3939. Was trying to teach myself this for hours and you did it in a minute... Thank you ☺️
    16
  3940. I've been enjoying listening to your inspiring talks while I get ready for bed! This dropped just in time for me getting ready tonight 😆
    16
  3941. Oooh....I remember getting frustrated trying to self-teach out of K&R and getting stuck on one of the first exercises. Finally got it. And learned to pay closer attention when reading! (My bug was failing to distinguish = from ==).
    16
  3942. how does a channel with so many subs get so few views? the math just doesn't make sense
    16
  3943. Great vid! I learned Calculus from the Howard Anton book 3rd Ed and tried my hardest to do every single problem from every section. I think that's the best way of learning any math subject... By going as many math problems as possible daily till things become just natural like taking limits, finding derivatives, integrals, volumes of solids, etc...
    16
  3944. Finally, I can become the next Grigori Perelman!
    16
  3945. I have a book with the same title, I have always thought calling it "the calculus" is funny. Also very cool that it has epsilon-delta stuff in it, I've never seen that stuff in a book that isn't "analysis level"!
    16
  3946. This is a great video for someone who is just starting out in mathematics! You did a marvelous job producing it, Math Sorcerer!! It's also inspiring to myself in that I have FIVE BOOKCASES filled with books on math and math history. Four on pure math and one on math history!! Will YOU be doing any videos on math HISTORY anytime soon? Just curious. ;) ;) :) :)
    16
  3947. This is exactly what I've been looking for an hour :+1
    16
  3948. Thanks for not skipping the smaller steps.
    16
  3949. Im from Peru and I can tell you this is quite the legendary book for people in middleschool /highschool in latinoamerica. It became so popular here in Peru that most other local math books for pre-college students copy the format of this book. I remember doing a few chapters in this book and it made me a little algebra monster. I would like you to review more spanish books, preferably a little more advanced.
    16
  3950. People keep teaching formulas but not break down how they work.
    16
  3951. Will you be teaching CATculus anytime soon? I'd be interested in that course.
    16
  3952. This is such a great video you've produced and posted, Math Sorcerer!!! Complex analysis is one of my many favorite fields of math and I have many books in my personal math library devoted to complex analysis! I don't currently have this title in my private collection. But, I just might seek it out. Thanks lots once again, MS!!! :) :) :) :)
    16
  3953. Another book we have in common! I took a Functional Analysis course in my doctoral program and this was the text. One of the most enjoyable classes I ever took.
    16
  3954. +1 on the Bessel functions......who new I would rediscover them in RF design?
    16
  3955. I was gonna go with glorious hair
    16
  3956. This is an incredibly powerful channel. I felt like I could just about keep up with trig and then had no clue with calc.I assumed I’m just one of those “not smart enough/doesn’t get it” people. Each of your videos has me intrigued and inspired to open up my old math books and have a crack at it again.
    16
  3957. Awesome
    16
  3958. I have both volumes as well as Rudin, Pugh, Bartle, Landau, and others. This is by far the best analysis text, imo. Just compare Tao's treatment of the "lim inf" and "lim sup" concepts with that of, say, Pugh. These are wonderful textbooks.
    16
  3959. Cant recommend it enough. Very good refresher and great for practice. Keep up the amazing videos!!
    16
  3960. Love the birds on the background
    16
  3961. Square both sides to remove absolute value. Since square is an increasing function for positive numbers and both sides are positive, direction of inequality shouldn't change after squaring.
    16
  3962. I love organic chemistry.
    16
  3963. How much does it take you? Reading 10 pages a day would not be a problem, the problem is to understand all the 10 pages, or to solve problems that are presented in them. I feel like that would take me hours.
    16
  3964. I totally agree with this. For a difficult class I maybe understand 20-30% of a lecture without any preparation. I find that often teaching myself is absolutely crucial for developing understanding. Honestly math is more about hard work and persistence than anything.
    16
  3965. So glad to see you review a logic book. I think at least a few logic books should be studied alongside math books. Thanks math sorcerer!
    16
  3966. To your point, the mathematics of losing is: if you buy at 100 and it drops to 50, you have lost 50% on this trade. To get back to even, you need a 100% gain. Hence money management is critical. Some other great reads: 1) Anything by Stanley Kroll on commodities. 2) Reminiscence of a Stock Operator by Edwin LeFevre.
    16
  3967. Some Fields Medalist said that math is so fractured and specialized today, that outside his particular profession he doesn't even understand the paper's titles sometimes.
    16
  3968. If there was one girl it's not because it's difficult, it has nothing to be with that. What happens is that we are given a so much different education from society, but percentage of girls in this field is going up year by year so keep it up!
    16
  3969. Yes, Thomas and Finney and Larson and Edwards are very good books to start and consult, i used them during my three calculus courses.Finally, Spivak's is, with some more texts, the book!, fortunately i bought it some years ago in spanish. Greetings from Mexico.
    16
  3970. I left high school at the age of 17. I was told I would never be successful because of this. I went and worked in a box warehouse then got my GED in 2013. I ended up going to community in 2016 college and that’s where I am now. I worked on and off and had to go a couple semesters without taking any classes. When I started college I thought engineering sounded cool. I thought of all the people who told me I would never succeed and I thought about if I was cut out for engineering. Now I’m so close to transferring to a 4 year college. Through my experience I had to start with basic arithmetic and now I’m in differential equations. I have a 3.5 gpa so far and try my best at every class. But now I’m very passionate about learning new math concepts. I someday might even entertain the idea of teaching it on the side of working as and engineer. I absolutely refuse to give up. If I can do the math that I’m doing now as a college drop out and a really bad memory. I believe wholeheartedly others can do it too. One of the greatest things I’ve gained from doing is how to be patient. I also deal with a lot of anxiety due to things that have happened in my life. Whenever I’m doing math or learning in general it grounds me. My anxiety goes away and I’m able to focus on that problem or thing that I’m working on. I’m so grateful of where I am in life. I will always try my best to succeed at my passions. A new goal of mine is to learn to read and write Japanese! I see a lot of people around me who tell me that’s to hard. I just turn to them and tell them with all the math I’ve learned, trust me I’ve got this. I can’t wait to see what the future holds in store for me. I look forward to a lifetime of math.
    16
  3971. This seems like a very useful book to read. We hope to see more of your recommendations. May God bless you as always.
    16
  3972. I did not like solving problems. But your videos are very inspiring. I have started doing mathematics every morning and solving some problems. I am very grateful to you.
    16
  3973. Petition to make math sorcerer a real character in league XD
    16
  3974. Answer to your question at 6:28: the stamp on the book is in Chinese, means it belongs to "Computer Science Department of SiChuan University Library". Sichuan is the province of China where spicy food is famous for. It is spell as Szechuan here in USA.
    16
  3975. Found primarily math a blast quite literally since I got into precal in my comm college. Decided I’d do it as primarily a “player” while, at most, secondarily a “student”. Like just for the sake of itself. Got messaged I got awarded a pure math cert this year and am a class away from an applied btw. I am “multi-majoring” in the sense I am doing it at least one at a time, though more like I don’t exclude any subject. Not just “math” per say.
    16
  3976. I somewhat regret my undergrad. Not that I regret my major per say. I was a Statistics Major, and math minor. I think the statistics major was something I loved, and allowed me to get a great job. However, the regret I have is that I never started my math minor earlier. I did it in my senior year, and learned a lot. My regret was that I didn’t know I’d enjoy the math minor so much. It felt refreshing to challenge myself and learn something new, and abstract, and it really made me a smarter person I truly believe it. My regret: not minoring in math earlier and challenging myself more, like freshman year, because chances are it would have become a math major, and I would have done a math major along with a stats major.
    16
  3977. Believe it or not, some vintage books from Victorian era were bound in human skins. In that era, there used to be lots of grave robberies. Sorry for scary stories.
    16
  3978. Thank you for this! I decided to start with "Mathematical Proofs A Transition to Advanced Mathematics"... and wow what a book that was! I think it's the first time that I read a mathematic book and understand every bit of it and I'm not even a math student, that's how clear it was.
    16
  3979. Omg..it feels good when u are teaching😂😂there is an intuitive connection with us the audience
    16
  3980. Good advice. I wish I saw your videos back when I took my math classes because you're very encouraging and my professors were most definitely not. Thanks!
    16
  3981. I think I just saw you sniff a marker at 3:20. That's how you're so excited lol
    16
  3982. I hated the math taught in school and college… but once i started studying advance topics such as algebraic topology, measure theory, field theory I started loving it..
    16
  3983. I’ve been doing some research in knot theory as an undergrad . Honestly I wanted to do it just for fun and to help pinpoint fields of interest. I do agree I’m definitely not at a high enough level mathematically to publish anything without large amounts of help. But that and grad school admissions aside, the experience feels valuable to me personally.
    16
  3984. When I took a condensed 5 week Abstract Algebra course through an infamously difficult professor I ended up getting a B- in the class and was pretty disappointed. He said that getting a B or even a C in the class meant that you really understood the material and that a B- or better in his class meant that you were really smart and understood the material very well. I was still disappointed because I was putting in so many hours a week and still didn't get that A or A-. It's really unfair to compare grades upper division math courses to Business or other easier classes where your GPA may look the same as students who got equal grades in their easier classes.
    16
  3985. One must not only train the mind, he must also train the body and soul. Since you are all these three and lacking one will bring imbalance.
    16
  3986. I really wish I was actually enrolled in your class, you make diff equations so understandable, thank youuuu
    16
  3987. Great vid! I'm self-studying Complex Variables using Churchill's book(7th ed) and very helpful Schaums Outlines on Complex Variables by Spiegel, recommended by Math Sorcerer! Also I am doing extra problems from Complex Analysis by Saff and Snider which has a lot more problems than the Churchill's book.
    16
  3988. [Insert joke about how he looks like Jeff Bezos]
    16
  3989. Lots of folks here mentioning the clock is already pushing them and more speed is the last thing they need... Guys, this is exactly why speed is important! If, during practice, you are twice as fast as required to complete the test, then you essentially eliminated time pressure from your test! Speed gives you time. Some say it's about depth and not about speed. The subject is about depth, but the test is about speed! You won't take a test to determine who's going to be the next Nobel Laureate. You're taking a test to demonstrate you've gained a certain amount of knowledge and insight and are able to apply it with a certain degree of comfort and... Speed! Yes, tests are timed, and they are specifically tailored to students. Depth gets you to the top of your field, speed gets you to the top of your class! Also, note the comments saying some high-level mathematicians struggled with tests for exactly this reason... This doesn't counter the point, it perfectly reassures it! If the best mathematicians covered depth to the greatest detail, but not speed, and they didn't do their tests all that well, what does that say..? Yes, speed matters, and you should work on it! Hope this inspires someone to... Work on their speed!
    16
  3990. I was very very awful in mathematics...back in high school...But on one rainy day, i decided to take leave from the school because i had this mild fever and i wanted to enjoy rain basically.. Suddenly i saw my Green coloured Math book lying on the shelf, challenging me!..I told myself,,,what iffff i could only read it from the first page and learn atleast 5% from it..I started with 1,2,3 literally..and there was this beautiful article about Carl fedrich gauss,,,Man! it got me hooked up... and that day i learned polynomials too...And i Alhamdulillah never looked back...even though i struggle but i love Mathematics
    16
  3991. What I learned from past job failings is that employers want you to be on time and consistent. That’s a great start.
    16
  3992. e=pi=3
    16
  3993. I am a Student from one of the IITs and I've been following you for like 2-3 months. Your videos on epsilon-delta worked wonders for me & I got AA in mathematics this semester. Thanks for giving simple explanation of complex things.🙏🙏
    16
  3994. Jeff Bezos with wavy lush hair.
    16
  3995. I love that everytime I'm stumped there's a video by Isaac Newton himself to sure all of my woes!
    16
  3996. The fact that math never ends is the reason math is such a great subject. This guy is really great for making these videos. I greatly appreciate them.
    16
  3997. I'm a mathematician, really enjoy your videos because I hear you saying all the same things I've been saying to my students for years. You really know how to hit the nail on the head, but how do you make your students believe you? They usually don't.
    16
  3998. Perfect timing, I just finished my Calc 1 final
    16
  3999. I even take my phone to the toilet and watch videos on Implicit Differentiation whilst doing a 💩
    16
  4000. One thing I like to do at least for Calc or Linear Algebra is once you've gone over the review and you can do all the questions. Try making your own questions and solving them along the way. Say you are doing calculus, come up with your own derivative or integral and solve them. Once you get good at that then you should have the ease and intuition for solving problems perfectly. IDK how this would work with proofs but I imagine you could do something similar.
    16
  4001. I got a C in Calc 2 this past semester, it was the first time I ever didn't get an A+ in a math class. Now I have to take Calc 3 and I'm scared
    16
  4002. It's not huge because they did not waste space with colorful pictures and wide margins.
    16
  4003. This is why your channel is golden man the attitude is what we need in such a sometimes toxic culture surrounding math and learning it in this country
    16
  4004. I just need to finish 25 chapters in the next month, for clearing a entrance exam. Wish me luck sir!
    16
  4005. "Too much math?" Well, mathematics is infinite. There is no too much math.
    16
  4006. Echo the point about continuing to do math/s later in life. I retired from teaching last year, but still try to do mathematical stuff, even just puzzles, every day. This channel really helps with motivation!
    16
  4007. Calc II was the hardest of the three foundational classes -- in particular, series. But, Ordinary Differential Equations is the hardest yet, which I'm in presently.
    16
  4008. The idea of having a game plan when you come back from a break is great! I take breaks but tend to get overwhelmed when I return to math.
    16
  4009. Velleman has his own Calculus book and it’s really, really cool! It’s subtitled: “A Rigorous First Course”.
    16
  4010. I would say old books smell like sweet tobacco (this is just an old memory of mine) Great videos.
    16
  4011. this was the perfect laugh for having a mental breakdown about chemistry
    16
  4012. I finished high school now in med college but the usage of maths is super low...which is sad cuz maths was the first subject that gave me hope that "hey maybe I am not so worthless afterall", contrary to what my family, teachers and relatives kept telling me...but maths will always stay in my heart no matter where i end up :)
    16
  4013. Seems more straightforward to let n = 0 and m = b. Your videos are a nice refresher for my maths course thanks for making them : )
    16
  4014. I love your book holder!!! I imagined Isaac Newton living such a life...like the 90 tv series "mechanical universe", produced by caltech!
    16
  4015. Finance is more "statistical" and economics is more "mathematical" . I suggest you read the syllabus of some courses in the graduate program. Also simply write to the professors of the graduate program or simply the professor of your bachelor's. They will know. Anyway, you'll find math and stats but I think you should focus on getting the probability and proof writing skills since those are harder
    16
  4016. Thanks for the wisdom. This video made me think about my current ongoing personal experience with fear of mathematics. Fear is a strange creature. I graduated with a math degree a few years ago, and I always looked at mathematics as a form of art. So I focused on the theoretical side of math in my degree. Suffice to say, I used to love math, and still do! But I feel differently about it now in a way. Last year I spent the first half of the year trying to learn topology from various books (Munkres, Gamelin and Green, Mendelson), but I only got as far as quotient spaces. I'm not sure why I stopped - I think I had to take a week away from it for some reason, but when I came back and opened the book, it was like this weird fear struck me and I couldn't proceed. I can't really explain it well, but I think that looking at the information in the book gave me anxiety because I had forgotten some of it over that week. I spent a long, difficult month learning that topic and it felt so defeating that I had to go back and read and relearn a lot of it. I know that's standard procedure for learning something, but it's what stopped me personally from proceeding. The book is still open on my desk, on the same page I left off a year ago, in fact. But now it's been so long that I'd have to restart the whole book. I think the fear of giving up again in the future and continually having to restart to fully understand everything is what holds me back from learning it now - almost like, what's the point of doing it now if I'll just give up again? But ultimately I know the only way to overcome the fear is picking up the book and relearning everything.
    16
  4017. The new ChatGPT 4o Education GPTs are pretty good for an assistant/agent. Self-study is going to change across the board for education. However, nothing beats the human interaction between a good instructor and student. Just my opinion. Cheers brother!
    16
  4018. The moment you embrace the struggle of learning math is the moment you start to appreciate its beauty
    16
  4019. it is the clearest explanation thank you very much
    16
  4020. when I encountered a challenging math problem, I slept on it. Somehow, the solution came to me @ 3:00am. I was amazed how it happened. Our brains are working during the sleep. Therefore, my tip for that is moving on and maybe come back to try it again later! 😜😀🙃
    16
  4021. I needed this ❤
    16
  4022. The hardest part of triple integrals is setting the bounds from scratch. Your students are lucky that they don’t have to do that!
    16
  4023. Congrats YouTube once in my lifetime you recommended me the right channel
    16
  4024. Great vid as always! I'm teaching myself Set Theory and how to write proofs using a free PDF book recommended by Math Sorcerer called Book of Proof by Richard Hammack. Also a really great book to get a feel for foundations and proof writing.
    16
  4025. Ramanujan is one of the only mathematicians who is referred to by his first name (Ramanujan) rather than his surname (Aiyangar).
    16
  4026. Its quite interesting for me to see a en enthusiastic person like you reviewing books everday I am also basically having my room filled up with Quantum Physics, Mathematics, Calculus(University Level along with Interesting Proofs), Programming , mathematical loops etc.More importantly I have my modela of inventions in my room about 7 models of Physics(Mechanics Related)...(Also shared that with Michio Kaku and he hardly responses anybody and I'm one of them whom he have responded..)
    16
  4027. Sleep, sleep and sleep. Nothing more important than sleep to learn. I had the same method of going through many different books too in physics, and surprised my classmates and teachers solving problems others couldn't, since they relied on class lectures too heavily.
    16
  4028. I think I will because I took calc 2 during the summer so I'm not that good at integration. I basically can't do trig substitution.
    16
  4029. Why can’t all professors be like this omg
    16
  4030. 🤣🤣🤣🤣🤣🤣🤣🤣 Things Math Students Never Say: "I love timed tests."
    16
  4031. When I was a student, Mir books were much more affordable than most western manuals, and always very good. I have many wonderful physics and mathematics books from Mir, in portuguese, english, spanish and french. They also published many books covering advanced scientific topics targeting a general audience. "Sur la Physique et l'Astrophysique" (V. Ginzburg), "Idées Folles" (I. Radounskaia), "L'Atome de Aà Z" (K. Gladkov), "Au carrefour des Infinis" (E.Parnov), "Au Pays des Quanta" (L. Ponomarev), "Physique Nucléaire Recreative" (C. Moukhine) were a crucial part of my early discovery of particle physics and astrophysics, in high school. Later, I tried to collect all the volumes of the wonderful series "Theoretical Physics" by Landau and Lifschitz. My edition of Higher Algebra by A. Kurosh lists the following other books (besides Vygodsky's): Differential and Integral Calculs (N. Piskunov), Problems in Mathematical Analysis (Ed. B. Demidovich), Theory of functions of a Complex Variable (Sveshnikov and Tikhonov), Problems in the Theory of Functions of a Complex Variable (Volkovysky, Lunts, Aramanovich), Lectures in higher Mathematics (A. Myskis), Problems in Higher Algebra (Faddeev, Sominsky).
    16
  4032. I have the Same book as well. I’d say this book is like a Level 10000 boss’ Journal compared to us mere mortals.
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  4033. I agree bro. I am like you, I’m good at calculus and can get As. But even when I do get an A, I feel like I still don’t FULLY know calculus because it takes more than just the 15 weeks they allow to fully understand all the concepts and how they connect with each other. But I have come to accept this since calculus is just one step to my ultimate educational goals. Thanks for this chill video I watched during my dinner break!
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  4034. Thank you so much just ur 28 seconds saved my life ...😇😇
    16
  4035. Thanks for sharing your failures as well. Makes me feel good that I'm not the only math major who failed math classes lol! Also I didn't get group theory until I had to teach it. I'm not sure what graph theory is though.
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  4036. Although I'm not a person who is currently studying math, I struggled with this topic since childhood. I've learned my personality type and what I am, helped a lot. I'm a young mystic, someone who wants to help others in this world and be more powerful in my creativity and expression. So thank you for this video, setting up steps for most to adhere to 😊
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  4037. I'm non-English speaker, and your lessons is really understandable!!! keep your good work up
    16
  4038. A lot of bad things are normal tbh
    16
  4039. Yayy! First one, here
    16
  4040. You are making this remote calc class bearable thank you so much!!!
    16
  4041. This is encouraging to hear regarding the algebra related to calculus!
    16
  4042. is it just me or does his videos come right on time, just when you need them.
    16
  4043. I studied a lot for the physics one and later decided to take the math one... It was way harder than I anticipated lol
    16
  4044. What are the odds! The same book recommended by the mighty Richard Borcherds in his most-recent, undergraduate-level complex analysis series.
    16
  4045. Haaaaaaa
    16
  4046. The most famous Calculus book is Euler's Analysis text. In English language, it should be Hardy's text, then Courant's two volumes, then it goes down to Spivak.
    16
  4047. Giancoli, Halliday resnick and walker plus 3000 problems of physics will get you through undergrad or other physical science related programs that requires various levels of undergrad physics. All are part of my library. The only addition is a mathematical physics book if you are actually a physics major. Arfken or Boas are very good. In fact for Arfken you can find out worked out examples that translate at least to undergrad courses and grad courses. For those that have to deal with Jackson there are almost exact solutions to some of the problems there dealing with greens function. Good luck. Great video and suggestions for self study. Definitely recommend this video for those who want to learn.
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  4048. wish you were my professor this semester, my engineering analysis teacher is absolutely terrible. your 6 minute example pretty much got me caught up to speed on 2 weeks worth of her lecture, love how simple and clear your approach was to solving this. thank you!
    16
  4049. I miss your youtube videos! glad to see you and thank you
    16
  4050. I'm preparing for competitive mathematics and your videos are really helpful. Although I need to improve a lot more but you are one of my biggest inspirations!
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  4051. I used this book in my undergrad. It's wonderful!
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  4052. First one here. I tutor Maths in Manhattan. 20 plus years experience. I tutor Middle and High schoolers
    16
  4053. In my opinion, it's a mixture of both, as many things are. Everyone obviously has their own set of strengths and weaknesses as you said and initially you have to discover these among other things about yourself. Then you can gradually build on top of that and create the you that you want to become, but there are of course certain limitations on this building process defined by your genetics and other parameters. In other words, everyone kind of has their own personality "template" which they can enhance through sheer effort, developing your math skills or your running technique or whatever. However, I think it's important to be mindful of the limitations too, as I said. You're not going to become the next Srinivasa Ramanujan or the next Usain Bolt just by expending effort, but I would imagine that for most people it's possible to get pretty far just by working hard.
    16
  4054. you're dividing by zero
    16
  4055. I have Doctor McMullen's essential Calculus Based Physics workbooks, all three volumes. They're fantastic, so it's no surprise to me his Calculus one is as well. Thanks for the review, I may have to work my own way through it! Also, I'm not sure if you've reviewed this book before, but an Egghead's Guide to Calculus is a pretty good one that I've been going through for a little while. It's short and sweet, but hits a lot of key points in Calc 1, if you'd be interested in doing a review on it.
    16
  4056. I got in a Ph.D. program in Applied Math. I don't have any background in mathematics what so ever. The first time I wrote a math proof is when I stumbled upon an analysis book long after I received my undergraduate degree, and I love it. I continue to read a lot of math books and research papers, and sent emails to math professors whose works I'm intrigued. I was lucky that I got a chance to do a research project with one of the professors and he agreed to write a recommendation letter for me. So in my case, the most important factor that get me into a graduate school is probably the recommendation letter; my grades are irrelevant and my Math Subject GRE scores is about average. So if there are people like me reading this, I just want to say that it is possible to get into a math school and don't give up.
    16
  4057. This test has my favorite stuff that I had explored in "Calculus 2!" I took almost like this and got a 99% on it!
    16
  4058. I will be returning to this video when I have children, I'm gonna give them the most extra math education possible XD
    16
  4059. Sometimes I kinda get scared that nobody will help me in the world but I don’t think I should worry about it 😅
    16
  4060. I learned something in under 3 hours from 3 maths lessons... Thanks.
    16
  4061. Love seeing the step by step process. Mathematical thinking is beautiful to see.
    16
  4062. Around 1960 we had to work with logarithmic tables like the one shown here and slide rules as well.It was not too bad to learn mathematics this way ,one had to use the brain more than today , with all the computers and programms like Mathematica or Maple available .
    16
  4063. Nice! Good to have a Co-Sorcerer doing Math! Keep it up!
    16
  4064. Thanks. I have always struggled with this because I work really hard for mediocre results and watch others just hanging out for the same result
    16
  4065. Yes i have pdf version 🤩🤩🤩🤩
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  4066. Reading the contents of this book is a great achievement!!
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  4067. Roger Penrose: "I was unbelievably slow. I lived in Canada for a while, for about six years, during the war. When I was 8, sitting in class, we had to do this mental arithmetic very fast, or what seemed to me very fast. I always got lost. And the teacher, who didn’t like me very much, moved me down a class. There was one rather insightful teacher who decided, after I’d done so badly on these tests, that he would have timeless tests. [...] So I was at least twice as slow as anybody else. Eventually I would do very well. You see, if I could do it that way, I would get very high marks." Source: https://www.discovermagazine.com/the-sciences/discover-interview-roger-penrose-says-physics-is-wrong-from-string-theory Love your short videos. Hope you had a wonderful day.
    16
  4068. I'm only taking intro to stats why am I watching this
    16
  4069. How about the book by Kernighan and Ritchie for C?
    16
  4070. Merry christmas sir
    16
  4071. These math YouTubers are actually my role models, especially 3blue1brown, he inspires me so much, i want to be able to explain or just talk about math in interesting and engaging way too
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  4072. Ima just hop on here and say that the Art of Problem Solving books are awesome. The books by I.M Gelfand are also legendary.
    16
  4073. God sent you from heaven to fight covid depression. All hail.
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  4074. My introduction to C pointers was more or less jumping into the deep end. A college class called "Data Structures" used a fun book called "Data Structures Using C." Everything in that book used pointers, so you had to learn fast. Luckily I did, and it has been pretty useful at times.
    16
  4075. I've just discovered this channel... it's a great channel and very underrated
    16
  4076. I appreciate the struggle. I don't consider myself good at math but I enjoy the process which I think counts for a lot.
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  4077. Algebra is the best subject because you can go very far without knowing any Calculus. Don’t let this guy fool you. This is the book for a beginner. It and others like it will teach you to abandon the crutch of physical intuitions and embrace the GigaChad abstractions. Free your mind.
    16
  4078.  @JayJay-ku8gp  I was just very lucky. I have a PhD in Intelligent Systems Engineering, which is basically computer science, and I studied at MIT, which AT&T had a good relationship with. I just got chatting with the head of the compiler research group, and was astonished to be invited to visit them. Next thing I knew, I had a job offer. I was there for six years in total, and I loved every moment of it. Even now, almost 30 years later, I have very fond memories of the work, and more so the incredible team I was lucky enough to work with.
    16
  4079. 2:19 homework being 0% of you grade is actually correct and better way of doing it
    16
  4080. YES!! Thanks a million for this clear and concise example!
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  4081. I'm doing great in Calculus 3 and ODE, as I did in last two calculus and linear algebra. Maybe I'm good math . Wild Real analysis appears WTF? Probability theory shows It hurts, so much Algebraic topologic arise Ok, I suck in math. True history :p
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  4082. I did actually want my classical mechanics professor to allow me to turn in my homework early
    16
  4083. I was raised to never read a math book, like just read. This is a novel suggestion. I feel unshackled and will be trying this out
    16
  4084. Important note on this book, the solutions manual is pretty readily available.
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  4085. I lost everyone because im bad at math 😂
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  4086. You man are legend, i missed out on my CAL classes due to covid and didnt know shit. But this thing is the only thing saving me. So detailed yet so easy.
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  4087. To answer your question, you can probably be introduced to everything in around 80 credit hours, but you can take another 20 credit hours to dig a little deeper into certain subjects. I also happen to have that exact same review manual I got from a second hand book store
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  4088. Truer words have yet to be spoken. I have taken 6 math classes so far in college, so this is waaay too accurate. 😂
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  4089. These videos have helped fall in love with math all over again!!! I have been cruising past howard anton's elementary linear algebra in order to strengthen my econometrics and finally i m able to truly appreciate data in the form of vectors and hyperdimensional objects!! Thank you!!
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  4090. This dropped at the right time, how did you know😭
    16
  4091. woah, the person who sent that email is a lot like me, I love programming and I want to get into computer science next year when I go to college, but I’ve never payed attention to math, thanks for this video
    16
  4092. I want this for my birthday
    16
  4093. before even watching, let me take a guess: PRACTICE!!!!
    16
  4094. Thank you so much for this. I'm in my first semester and I'm struggling so much I'm actually considering switching majors... So yeah, I need all the encouragement I can get, and this is definitely helpful.
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  4095. The creating the passwords bit was EXACTLY how creating a password for the ACT was. I sat at my computer for 15 minutes trying to figure out how to come up with a good password for the damn ACT.
    16
  4096. We will support you no matter what. Keep working hard.
    16
  4097. Schaum's outlines = real life saver
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  4098. Notes help you "translate" the author's instructions into your own language so when you go to read your notes, you don't have to expend all that energy again trying to understand what the author is saying. You have it there in your own words. Also something about the act of writing it down magically helps you remember it versus just reading something then closing the book. Sure if we all had photo memories and understood everything right away then we wouldn't need to take notes. About a year ago I started taking the advice on your channel seriously and have since taken reams of notes which I find very useful to consult.
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  4099. I would like this book more for the historic angle. I find pretty interesting the discussions in how the fields of mathematics come to being, because nowadays math is treated like "revealed truth, don't question it" but its past has being more rugged, inexact, and weird.
    15
  4100. The language of electrodynamics.
    15
  4101. List of public domain books by same author, Horace Lamb. https://openlibrary.org/authors/OL117310A/Lamb_Horace_Sir
    15
  4102. lmao every engineering aspirant in india uses this book. i didnt know it was kinda rare outside india cuz its a genuinely good book. beginner's algebra and intermediate algebra for schools (by hall and knight) are how i learned algebra to the bone. i am currently doing higher algebra and its significantly harder than its previous counterparts. incredibly insightful though, doing those problems rigorously would give you a higher ground in any field of algebra
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  4103. you really a LEGEND for this one
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  4104. Interesting... When I waa applying to grad school, I went for the master's. I put in applications to CSULB, CSUF, UCI and UCR. I was accepted at CSULB, where I got my bachelor's and at CSUF and UCI, but not at UCR. I remember talking to the graduate advisor about why my application was rejected. They gave me some BS about my grades. It seems that I took some directed studies classes that they wouldn't count and I took a couple of PE classes on a CR/NCR basis. I got CR in one and an NCR in the other. (I got tired of the class and just quit). UCR counted the CR as a C and the NCR as an F and took away my A and B from the directed studies classes, thus lowering my GPA. The other schools did not do this. Now, get this. This is the kicker. The advisor told my that although I was not accepted in to their Master's program, they would be happy to reconsider my application if I wanted to change to a PhD! He then preceded to tell me about all the advantages of funding and teaching opportunities that were available to PhD students. Go figure! I thought he was nuts. Anyway, I went back to CSULB and got my Master's in Pure Math.
    15
  4105. I remember buying one of Chris's algebra books and I contacted him to say I'd found a mistake - I hadn't - his answers were correct and it was my mistake. Chris then offered to send me another one of his algebra books as well for free - such a nice gesture that I will never forget, thank you Chris :) and Maths Sorcerer for bringing this book to light :)
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  4106. This is such a fun way to break down different stages of one's mathematical journey! I'll be referring to this video to get me to the next step of mathematical wizard. Great video!
    15
  4107. Which do you believe to be more important: a great school and an average advisor, or a well known advisor at an average school?
    15
  4108. Woah, that pen holding technique! This guy teaches
    15
  4109. It's very interesting to see that we always required something the size of a mobile device, which could provide us with different factsNformulae. Lucky for us we actually have smartphones now
    15
  4110. 10/10!!! Great work The Math Sorcerer!!!!
    15
  4111. I have a copy of "A Course in Point Set Topology" by John Conway, but I haven't gotten very far. Have you read any of it?
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  4112. truly do not understand why professors make this so complicated. the way you explain it is perfect! thank you!
    15
  4113. "Each problem is a battle... you have to own it!" - The Math Sorcerer. I will arrive to my desk on my chariot, as the Alexander the Great I know I am.
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  4114. I am majoring in physics and am grateful for always recommending great quality books for mathematics. I hope you always continue with your videos 😊
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  4115. surely you’re joking mr Feynman!?!? 😂😂
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  4116. I literally just had this experience on a calculus exam. I felt weird writing my reasoning down in words about why the answer was infinity and not negative infinity. This makes me feel much better about doing it like I did.
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  4117. I Had already ‘smelled’ it , in my brain
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  4118. I started to learned piano at 64 and there's nothing better than a daily schedule. Your tips on learning math is applicable to learning piano or any other discipline. I'm in the beginner-intermediate stage so this means I'm trying to get my hands to work independently, learn 88 notes, music theory, read music, sight read, etc. I'm still developing the process but here's how I broke down your tips for me: 15 minutes or so to warm up and review previous music learned (3-5 pieces); 5-10 minutes sight reading and playing 3-5 pieces in a given key (i.e., G major); and about 45 minutes to learn the new piece, especially the difficult passage I need to nail. Again, thank you. [Final thought: Did you know music and music theory is math? We have to learn 4/4 time, 3/4, 6/8 time, etc.; a measure can be broken up into whole notes, quarter, half, eighth, sixteenth, etc. I'm not a musical expert but I believe each string is measured precisely based on math principles.]
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  4119. I’m sorry to see you go. Good luck in your futy
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  4120. Losing points because of these silly mistakes is the worst. Professors are ruthless here, losing 1/10 of my grade due to a silly mistake is the worst. If I do more, I lose even more... Once I was solving a complex integral and a squared z was turned into a 2 in the next step 😭.
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  4121. I'm going over differential equations right now! It's like you read my mind! Always great to watch your videos
    15
  4122. Linear algebra this semester for quantum mechanics. Watched your linear algebra book recommendation and it helped me a lot to find a book that works for me. Gilbert Strang's book is what I am going with. Thanks.
    15
  4123. Interaction with professors is huge. Absolutely huge.
    15
  4124. I love studying calculus theorems on my free time 😃 with coffee and a croissant 🥐
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  4125. Dear Sorcerer do you think 1 month is enough to cover algebra 1 and 2?
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  4126. math is brain food: use it or lose it ;-)
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  4127. I can relate a lot. As a Chemistry student I used to know a lot of people who aced exams but couldn't do anything on their own inside a lab. While I was always getting around 6 out of 10, but I was the one teachers looked for when they needed a student to work on something. I barely know any chemistry at all, but I do know a lot more than the majority of students in my college that used to ace exams. It's hard to find some time to read the textbooks, you have a lot of classes, a lot of homework, all at the same time... But the teacher classes are usually their notes, the summary of a textbook, and their slides are the summary of the summary. When students think it's enough to just watch videos or attend classes, and to take notes of slides, they're summarizing the summary of the summary, that's why students often don't know anything at all, they're full of incomplete pieces of information, they don't really have any knowledge. The book is where the complete knowledge is to be found, all the other pieces are there for you to build the knowledge. If you want to be approved, you can attend classes, but if you want to learn you need to self study and read the textbook or a journal for new fields and recent discoveries. The problem is that you do need to be approved, and it's hard to balance attending classes and self studying time. Unfortunately education, at least in my country, are ignoring textbooks more and more, now even teachers don't have complete knowledge about the subjects anymore and actually they're already teaching things wrong in high school. It's a snowball effect in education, my country is already hopeless.
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  4128. On a similar vain of forgotten maths you might enjoy "A Book of Curves" by E. H. Lockwood, it covers such arcane curves as the Nephroid, Limacon, Glissettes etc. a real gem which I first came across in my school library over 40 years ago, I think I was the only one who read some of these books. I always remembered it and eventually got a copy on eBay, I hope if you can still find it you will enjoy it as much as I did.
    15
  4129. You’ve motivated me so much I replaced my chess study with maths study, 1 hour a day for 20 days now and I’m loving it ❤️
    15
  4130. You can make it dude, I know it. Good luck!
    15
  4131. I met Tom Apostol once back in the early 1980s at CSULB when I was in grad school. One of my math professors knew Apostol and invited him to give a lecture on Analytic Number Theory. Something I knew nothing about and still don't. I went to the lecture just to be there. Got to meet and talk to him afterwards.
    15
  4132. Thank you for answering my question Math Sorcerer! I should have worded my question better in the email I sent you, but you still answered my question either way. What I meant to ask was that since you are generally expected to study 2-3 hours per week for every hour of class you have, does homework count towards those 2-3 hours of study per week for each hour of class time? Again, your answer makes me confident that the answer is yes with the caveat that doing homework alone is not enough. I still plan on studying for each test outside of homework -- but 8 to 12 hours of study per week for a 4 unit class in addition to homework sounded like a bit much. Thank you again for taking the time to answer my question :)
    15
  4133. I could've used this advice about 47 years ago on Friday the Third. I became so frustrated with another "C" that I gave up on linear algebra. There were three factors I later identified, but that was over the past decade, as I slowly climbed out of the frustration I had.
    15
  4134. At Brazil, we use 2 great references: Linear Algebra, by Hoffman and Kunze (if I remember well, they both were professors at MIT and the book was designed for a not so rigorous course) and Álgebra Linear, by Elon Lages Lima (this is the major reference for every single master or doctorate program. It has won a prize for it's methodology and is selled for a very cheap price, the only problem is the transportation costs. But it only costs something like 5 dollars, a the new edition, out of the box)
    15
  4135. Thank you. I had a hard childhood where my father didn't keep us in school because he moved too much. When I took math class at 43 years old in college, I failed the placement test but passed the class with a B grade.
    15
  4136. Day 5 Of Getting First Streaks
    15
  4137. Great advice. Mathematics is not just about solving problems or proving theorems. It is also about connecting to people, communicating with them, sharing ideas, different points of views and enjoy all this. We all are unique, our thinking varies, way of learning varies, way of communicating varies as well. This distinctness makes it so interesting.
    15
  4138. I came across this video at the lowest point of my life, at a moment when I felt like giving up on my future entirely due to many mistakes I've made. Thank you for your advice. I'm turning 24 this year. I hope to revisit this video when I've achieved success, to remind myself of how I arise from darkness
    15
  4139. I am working through this Basic Math book. My copy has an "Answers to Selected Exercises" section. It is the last section in the book A-3 through A-44.
    15
  4140. Note that the cover shown is for the first edition. They are up to the 4th Edition as of 2020.
    15
  4141. Consistency is key to success Nice video 👍
    15
  4142. You're a great inspiration like Feynman ❤
    15
  4143. Great video! I really wish I had a bare, stripped down room like that. It seems perfect for concentrating and going into your own zone :) Plain paper huh? I haven't though about it, but it does makes sense instead of "boxing" yourself in with lined paper. This was really inspiring :)
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  4144. Spend a lot of time to know the concept . Remember that many of the mathematicians behind these books spend years doing research on a single topic and writing proofs. So you have to spend time to know the materials as Peter Lynch wrote . 'In science old theories fade away and are replaced by new ones... Math is different a theorem once proved remains valid forever. ('The vastness of mathematics: No one knows it all , Irish Times) . He wrote ' the best one can achieve is general understanding and appreciation of the main branches and expertise in one or two areas'. This is because math has become so vast unlike the other science, according to him.
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  4145. Doesn't surprise me. Unless you're a STEM major you stop at Calc I.
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  4146. I think studying ahead of your classes really helps a ton too and plays right into the hard work component! I’m a physics/math major and this year, I have a dense upcoming course load. However, throughout the whole summer, I put time aside and was able to work through the course textbooks for each class (found PDF textbooks versions and past syllabi online) for calculus 3, linear algebra, differential equations, and then modern physics and statistical mechanics! Also, when your go through the material again, you achieve mastery much quicker and overall have more confidence in the actual class!
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  4147. When they brought up the corona virus.... If only they knew what was to come. Also thank you sooooo much for these and for being such an amazing instructor! It has made my online diff equ class sooo much easier. Thank you again!
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  4148. this man deserves more views he's hilarious af!
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  4149. This epiphany that Garrity is talking about around 11:30 is common in learning complex systems. I'm a linguist, not a mathematician, and this sudden convergence of understanding is pretty common in language learning. At some point, you suddenly realize that you have entered the language and you are operating in it without reference to your first or habitual language - you get a glimpse of the world of the native speaker. It's a liminal experience, but a very significant event in the learning process. It cannot be taught. Mathematics is very similar to natural language as a rule-based, closed, self-referential system that is rooted in human creativitiy and also emerges from the natural world.
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  4150. As a kid, I sensed there was some reason why society obligated me to be in school, even though no one ever explained it to me. Believing there was an important reason helped me cope with the feeling of being forced to be there. I figured the reason had something to do with becoming an informed, responsible adult who could make sense of the world and solve problems analytically and creatively. So that's what I pursued, that's what guided me, motivated me and made me curious about what was presented to me in my courses. It's also what made me explore everything else on my own, for life! ❤
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  4151. Become a collector of proofs. Organize your theorems into an order you like, then attach your favorite proof of that theorem after it. Some theorems have more than one proof, so collect and attach them in your preferred order. During that process you will naturally compare and contrast the quality of the proofs. Continue with other theorems. After a while you will be able to compare and contrast proofs, and proof methods, among different theorems.
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  4152. Damn, this is actually relatable. All my texts are digital and I'm dedicating a 15 min break to reduce eyestrain. Oh yeah, and did I mention I must decide what to study first 😂
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  4153. Congratulations man! Well Deserved. Made me love math again❤️
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  4154. Namaste Sensei. I am a maths graduate with master's in literature an currently studying for Ph.d entrance in literature. You have been a strong gust of wind that keeps this leaf pushing for achieving it's goal. Thanks for that.
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  4155. Best explanation I come across
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  4156. Banks have massive scale, moving their trading costs near zero. They have great data and speed. They have tax advantages. Retail investors might do better with longer term buy and hold investment strategies, particularly US investors where low capital gains tax rates are still available.
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  4157. Thanks for getting straight to the point
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  4158. Math has definitely helped me accept the fact that I will fail many times before I get better. It’s still frustrating but I am getting better at this… Great video for me to watch before starting calculus over the winter term. Thank you.
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  4159. Thank you for this video! I think self-discipline is exactly what I need right now. I don't have the strength and motivation necessary for studying math for long periods of time, and I always get easily distracted and unmotivated. I really need some self-discipline, because I want to succeed in Math! But it's not that easy, you know...
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  4160. I’m glad you made this video. I can’t wait to be a mathematics teacher.
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  4161. Computer and software engineers run into math counterexamples all the time. That is why edge testing is vital. (:
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  4162. Bro is gonna cook his retinas
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  4163. I have adhd. Couldn’t do math in school. Was horrible. Dropped out. Went back to school. Went to university and got a science degree. About to start learning math. YOUTUBE IS A GAME-CHANGER.
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  4164. Kolman's and Shifrin's gives more geometric intuition.
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  4165. I want to become a biomedical engineer because I want to make a difference, a change to create prototypes to change in a good way the life for so many people, especially patients.
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  4166. You should get the new edition of the Baldor series (algebra, trigonometry, and even arithmetics). They have beautiful covers.
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  4167. Like Euler when he went blind his math output went up not down🥰🥰...for some of us who are "blind" thats amazing. Math is for everyone...
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  4168. I struggled with mathematics in secondary school until I got grinds to help me. Now 20 years later I want to tell the teenager I once was why the different techniques are used and why and what the point of each technique is. Could you include a “so what is the point of this technique “ video or preamble for each video?
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  4169. Good job. 2020 still helping people
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  4170. it's been a long time scene I've enjoyed a math class. Thanks.
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  4171. Where are people getting the idea that those who study math end up with poor job prospects? In the UK, mathematics graduates are highly sought after in the world of finance, computing, engineering and consulting, whilst teachers and academics enjoy pretty comfortable middle-class lifestyles. I can't imagine it's much different in America.
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  4172. Rational Roots theorem is a saviour. It makes life so much easier than showing it the manual way. Before I watched the video, I kinda expected that you would prove it by contradiction as one would normally do whenever a problem involves the word "CANNOT". Sometimes pure math is a matter of knowing as many theorems as possible and having the ability to coherently apply them.
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  4173. Seeing as how I failed my first calculus 1 exam, this was fitting
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  4174. Great Quote by Feynman. I love you content especially words of wisdom. My favorite Feynman quote " I learned along time ago the difference between knowing the name of something and knowing something" . I notice you like Bongos just as Feynman!
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  4175. Mathematics needs a clear brain and a good mood, two things which are not readily available especially in our busy modern times , that's.. maybe.. why people procrastinate waiting for the two to come back arm in arm.
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  4176. Thank you for making this very clear. The enthusiasm was amazing too. Made learning a blast.
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  4177. Thanks for your videos, you are such an inspiration!!! this semester has been a total embarrassment for me but I try to do better next semester!!
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  4178. You should have many, many more subscribers. Math is fun, and you and Polya are some of the best examples for this to be true! Thank you for your work.
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  4179. I have suffered with depression most of my adult life, and I have periods where, when I'm very depressed, I'll just sit down and do something to take my mind off it for many hours at a time (like studying math or physics). Of course, because I'm depressed that only works for a time before depression wins and I lose motivation to do anything. My advice would be to make sure you're not depressed, and if you are, maybe you need to see a counselor or a doctor.
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  4180. You explained this all so well from the bottom of my heart thank you
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  4181. Initially I couldn't remember the integration by parts formula, so I learned to start with d(u * v) = u dv + v du, then integrate both sides so that u * v = int(u dv) + int(v du), and finally rearrange so that int(u dv) = u * v - int(v du). Somehow that has stuck with me since fall semester 1965. I've been retired for a number of years and I found that remembering certain things has gotten harder since I'm not required to think to solve problems every day. So I bought a few math books including calculus at a library sale and I signed up for a couple of your Udemy classes as well as watching various math videos. I'm hoping that working through some trigonometry (my favorite math subject), calculus, engineering math, etc. as well as some old physics with calculus tomes will keep my mental faculties a little sharper for a few more years.
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  4182. You can be a Jack of all trades or a master of one. Better to be both a Jack of all trades and a master on one.
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  4183. I'm watching this video with 2x speed :)
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  4184. Instead of that Test point method we here in India uses wavy curve method for most of our inequalities containing 0 on one side plot the points where the expression gets 0 (critical points) now the right most part of the no. line will give +ve values & sign of the expression changes (moving right to left) after every critical point whose factor have odd power & sign remains same for even powers. this method seems long in this comment but trust me it works magic in solving inequalities in seconds
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  4185. taking responsibility is something we should apply not just in math, great video!
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  4186. You sir, are an awesome professor.
    15
  4187. I guess this is important to find before going to grad school...
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  4188. Munkres -- who was my academic advisor during my brief math studies at MIT -- also wrote a neat little book on linear algebra that is very readable.
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  4189. 30 views in a minute, he has fallen off🥲
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  4190. Which hair style?!? I hope it’s not a short-cut ( pun intended 😸)
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  4191. I'm loving all these START to FINISH videos. Keep making more of it. The books you have are like goldmine. Thanks for this
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  4192. I have just today ordered more books on maths and physics. I love learning. 🙂
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  4193. Thanks for the video! I've recently been trying to read my copy of "The Art of Computer Programming" but I'm in a similar math situation: really glad you made this video as I've been wanting to increase my understanding and enjoyment of the series.
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  4194. Also if you say "I like math" people immediately think that you are good at math 😅
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  4195. This could had been a collaboration between us, I'm really good at failing.
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  4196. Less than a minute out and already has 5 likes. Wow. This channel is well liked.
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  4197. As a Data Science undergrad I can say this is a fantastic and comprehesive overview of the matterial we study, great stuff! keep it up!
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  4198. Why do your videos always feel perfect for my current math journey? I also returned to college after a long time away and I'm currently dealing with the issues talked about in this video. I'm taking calculus and it seemed easy at first, until I started noticing gaps in my algebra knowledge. And I also thought about how to tackle this problem and came to the same conclusions you did.
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  4199.  @hypnobous1574  i 8 sum pi => I ate some pie
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  4200. You got me going for a minute....
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  4201. Sometimes what it takes to really enjoy a subject is a professor who loves teaching it or just show their love in many ways as possible, including ASMR 😊.
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  4202. Another thing to consider is that even if you are in college, self studying could help you get a leg up so you don’t feel overwhelmed learning everything in that short time span from scratch
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  4203. Same here, he also speaks spanish fluently!!! He is awesome
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  4204. Honestly, you have just inspired me to change my tactics with regards to self learning upper level math. I been relearning Linear Algebra in a rigorous proof-based fashion before taking Advanced Calculus this semester . One rut I have been stuck in for a really long time even when taking my linear algebra course is proving determinant properties and proving the validity cofactor expansion. Like I really feel guilty when I use determinants in other proofs without convincing myself of their validity
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  4205. After getting my PhD in Law (in the UK) on the eve of turning 50, now I’m getting into maths, which I have not done in over 30 years. I get up every morning at 6, do three hours of maths (I’m refreshing Algebra and Trig before getting back into calculus) then go to work. Until I breath, I will study! Thanks for all your videos, very inspiring!
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  4206. Nothing like building your own circuits. You ever have any Raspberry Pi books? I found one for evil geniuses for like $3 at a yard sale.
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  4207. I have the second edition of this book. It's a good starting point for someone to learn mathematics.
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  4208. Dean: What do you do? Math Sorcerer: Provide the pain
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  4209. I have an 8 am stats class, I know my brain isn't fully awake so I decided to just record the lectures, re-watch it later in the day and take the notes I need lol it's great.
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  4210. The Force in this one is out of the charts!
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  4211. Time is the great equalizer imo
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  4212. Usually when you buy/borrow a book, there is a specific piece of content that you are actually interested in; I think there is value in skipping ahead to that section and struggling with it even though you don’t know all the background, it helps to motivate the earlier chapters. Also, you don’t have to read textbooks in order and can work on multiple sections at once.
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  4213. “Embrace the struggle”. I have had the tendency to put a lot of pressure on myself in the past. This increased the frustration and anxiety. Then I started approaching it with a playful attitude. I’m going the play around with this. I’m going to experiment with it. I’m going to have fun with it. That has made a huge difference for me. The other thing is one you mentioned. Take breaks. When you start feeling frustrated and angry, take a break. Go do something different. Take your conscious mind off the problem. Return to it when you are relaxed and refreshed. Many times, I’ve discovered something at that time that was starring me in the face all that time. I couldn’t see it in my earlier mental and emotional state.
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  4214. Nice video. Other guesstimates, using divergent series and another using a long sequence of Tarski-Banach means for the virus to multiply, confirm your mathematical prediction. As an added note, a few hand towels per person and frequent hand washing might eliminate the threat of a repeat of the 1919 pandemic.
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  4215. Great recommendations. Some of these helped me a lot. In addition, I'd probably recommend Strang's 'Linear Algebra' for his lucid explanations. For analysis, IMO the best intro was Bryant's 'Yet Another Introduction to Analysis' (it's written at a level that most high school students can understand it).
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  4216. They are such a good books that I literally had to print the pdf I bought and I'm keeping it on the table(the only books there). They introduced me to such a different world with all the formalising right from the basics. I haven't even conpleted it, because it's just so packed with interesting thoughts. One thing to note is that these books only deal with real analysis(I hope I'm right on this). It's a timeless book, but somehow this not the standard of how the subject is taught and the book isn't even that popular, should get waay more press imo.
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  4217. a major attraction, for me, with these old books is the personal physical appeal. It is the smell, the texture of the pages, the fonts used and of course the rigor of the language used. a latent eroticism that creates an emotional attachment that lasts ;-)
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  4218. I was taking a conference course with "Papa" Rudin (aka Real and Complex Analysis), and I couldn't believe how hard the book was for me. I would sleep through class to an A in my calculus courses, but this book made me want to cry at first. I have to check myself because it's very easy to feel elite because it's so far removed from almost everyone else's mathematical understanding and that sense of superiority tends to creep up on me. That's usually when I get brought down to earth. I was working on some problems at the pharmacy as I waited for them to fill an order and the pharmacy tech asked me what I was working on. I showed him the book, and he was like "Papa Rudin... nice"... Looking back it makes me laugh, because I was such an ass. I was thinking, this pharmacy tech isn't gonna have any idea how hard the thing I was doing was... lol, thankfully I've had plenty more experience like that to finally get it through my head I'm not as smart as I thought I was.
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  4219. I think it would be easier to visualize what it's actually happening if you would put a matrix, then one order of the series is column sum and the other order is row sum.
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  4220. Very enlightened
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  4221. It’s not absolutely convergent, Riemann rearrangement theorem doesn’t apply.
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  4222. I love these old books! I wish we could have a zoom meeting or even a study maths with me session on YouTube where we read and solve problems from these gems. Such pure bliss!
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  4223. This one absolutely blew my mind! I'll have to order a new one!!
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  4224. What you said about the "beginning part" is so true. If you learn the first couple chapters very well, you often find the "complicated" stuff is just an extension of the fundamentals. For anyone struggling with trig, if you have Stewart's Calculus (and you're in a hurry) there's actually several Appendices in the back that are a very nice crash course on Trig and Algebra, etc. It even took the time to describe how many of the identities were derived, which I hadn't seen before.
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  4225. Is this a joke?
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  4226. This is a great video. I looked all over the internet for a question like this, and this was the only video that helped! Thanks
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  4227. That really helped me to understand that topic a lot better. I did understand the definition but couldn't really do a proof myself. Thanks for the video.
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  4228. Bessel functions are where I started to hit a serious "out of depth error state" in my maths courses. (I cobbled together my own BSc - eventually leaning toward computer science, and over the course of it followed the path to maths as far as I could go along it, normally in extra non-diploma courses. Unfortunately I exceeded my limit. I thought you could take as many "NDPs" as you like, but there was a cap on them. Could have kicked myself, because I used up some of that limit on courses just taken to "get used to the workload" again, early on. Did courses and half-courses - none enough to add up to anything - in Spanish, Portuguese, German, and Mandarin - just to induce a certain "level of pain" - a kind of self test of whether I'd be able to follow through. So that's already four maths credits I could've gotten in the end that I wasted. I think four might even have been fairly close to the minimum it takes to major.) I suppose this is just to be expected when your starting point is just that you don't feel suited - personality-wise to the career you chose by a process of elimination, and that you'd probably be happier doing something "back room", not involving lots of conflict-ful human interaction every day. So something "scientific" - with the initial angle being to maybe become the guy who cleans up the laboratory or something like that. Operator in a chemical plant seemed an option, too. I wasn't aiming high. So what followed happened in quite a piecemeal way. The initial career choice largely followed from the "fact" that "I can't do maths". Ironic. Anyway, supper. And one can always do a bit more maths. The only difficulty is in getting certified as having done so (and at a certain point that doesn't matter any more.)
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  4229. Last day I saw your courses from Udemy it was so good! I was watching your limit course. I liked it so much! 😁
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  4230. I didn’t know you could do that, I am doing a PhD at the moment, having a Masters was a requirement.
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  4231. This is why I subscribe to you. I get to watch random math problems and learn something instead of random videos on YouTube.
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  4232. I think most people with average intelligence and enough drive can learn anything but being at the top of any field of scientific study and making significant breakthroughs probably requires 150+ IQ.
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  4233. The word everybody is looking for is Intuition! You've shown your intuition, which helps us see WHY you're doing certain things, it clarifies your steps in achieving the desired goal and that's something that teachers fail to do. They teach as if we're inside their brains! Thank you!
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  4234. Yeah. It's like my inner self is looking down on me when I try to skip a problem
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  4235. A good teacher helps so much with understanding certain topics. You are definitely one of the best (if not the best) professor I've ever had the pleasure of taking classes with!
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  4236. Wait I am from India I am 15 I like maths I too study physics chem and cs
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  4237. Great motivational talk. My 2cents: Don't believe people when they tell you you're not good at something, especially teachers. Maybe you have a different way of learning, or it's not the right time for you. I was told that I was tone deaf, but now am having singing classes, enjoying it and the teacher said I have a nice voice. But even if you're not good at something, it's ok to do it badly if you enjoy it. Either we do it to ourselves or other people do it to us, but we end up with labels, like arty, serious, joker etc. It's good to try different interests: if you like football, try a bit of opera. If you're an artist, take a law course. It expands your mind. I'm seen as a language person, but now want to tutor maths to children who are struggling. Actually want to combine it with languages as I want to focus on immigrant children and teach them in their native languages. Suddenly one can combine wildly different areas, maybe you'll end up writing a modern opera about football, or become a legal consultant on on art forgery.
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  4238. I also recommend, 3000 Solved Problems in Calculus by Schaum.
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  4239. 'Hard work beats talent until talent works hard' - that's a good quote. However i would also add , the goal in studying math should be to enjoy the subject intrinsically for its own sake , kind of like listening to music, because math is beautiful after all - yes, it may ring hollow or sound pretentious to say math is beautiful but the more you study math the more 'oh that's cool' factor starts to appear. To continue the analogy further between studying math and music , most people would not say listening to music is 'hard work'. But the brain actually does some work when listening to music. The brain organizes themes , makes connections to other previously heard music. The brain is passively working while listening to a new song (or an old song), but it doesn't feel like work because it's all happening 'under the hood' or subconsciously. I can be challenged by a new song, just like i can be challenged by a new theorem. Precisely because music involves passive mental work which makes it (passively) enjoyable, it is like just the right balance. Perhaps we can learn more about the brain i.e. the science of learning from studying how humans appreciate music, and use this to make studying math more enjoyable (that's the dream).
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  4240. One thing that I think would help students, and it's something I didn't understand until long after I was out of school. A grade on a test is not an evaluation of you as a human being; for your own mental health you need to learn to view grades as measures of very narrow skills and not measures of you as a person. As you might guess, I was one of those kids who put a lot of stock in my scholastic performance, probably too much, but that's where I could shine. But it also meant that I was setting myself up for a lot of potential heartbreak.
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  4241. New-car smell ain’t got nothing on new-textbook smell 😄! My 12 yr old is strong in math and absolutely loves computers. I’m going to share this video with him and hopefully he can synthesize his two passions! Thanks for sharing 🙏
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  4242. Your very helpful thank you
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  4243. You can even do maths pretty successfully without understanding what you are doing. Many times I have managed to do the problems in exams by just remembering algorithms and their patterns, but it was only a few years after university when I am watching videos on youtube where I truly understand WHY it works. Perfect example is stuff in linear algebra (Matrix Diagonalisation, Jordan Forms etc). I could do the problems relatively well, but had really no idea what I was doing. Then I look up videos on here, and it makes more sense.
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  4244. Another book on computability theory which would be worth reviewing is Sipser's Introduction to the Theory of Computation , which I think may have displaced this book as the usual computability-theory text assigned for undergraduate CS. There's also Boolos and Jeffrey's Computability and Logic , which feels pleasantly zippy and "hands-on": in this case the edition to review would be the third, as John Burgess revised the fourth and fifth editions into an IMO stodgier-feeling, but in any case quite different, book. 2:48 Beware of The Imitation Game as the plot is apparently wildly inaccurate even by Hollywood standards.
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  4245. He has the exact same name and last name as my favorite math professor of all time.
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  4246. but that ones introductory
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  4247. The math preacher
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  4248. Hello Professor!! Hope you are doing well. I totally agree with this!! One has to keep practicing Math to get good at it :) Also, I really liked your previous video about the three books you recommended.. I will be definitely ordering them!! Thank you for the videos
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  4249. Yes brings back memories for me. I also used the Kernighan and Richie book to program in C in the 1980s. I think I still have it. The first book I used to learn programming at university though was called "Pascal For Students" by R Kemp. We needed to learn programming for the Numerical Analysis and Numerical Linear Algebra courses. After university I learned COBOL and IBM Assembler for work. Python seems to be the current most popular language.
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  4250. I tend to think taking a logic course is super useful for learning how to prove things.
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  4251. I was literally checking this thing out yesterday with another teacher , you've no idea how happy am I to see such a legend like you explaining it
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  4252. I'm working my way through Blitzer's Intro & Intermediate Algebra for College Students. Its the best book anyone could ask for. I completed first 2 chapters and decided to skip around in the book since I was doing well. I skipped ahead to Chapter 8 Functions . Its basically calculus stuff in that chapter. So easy. Domain. Range. Output. Input. Vertical line test. So easy. Calculus is not as intimidating to me as it once was. I think I'll still have trouble with it, but its not that intimidating now. I'm also slowly working my way through James Stewart's Calculus. Preparing for online math classes
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  4253. I heard a quote once “Investments are like a bar of soap the more you touch it the more it shrinks”
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  4254. Damn sir you can make videos on how to be a good teacher your experience is awesome
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  4255. So far, measure theory.
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  4256. Maybe you could do a video on how/why you got started trading, your experience with trading with a mathematical background, and if that helped or not, and why you stopped trading. If it's not too personal, I think that would a be an interesting video for both mathematicians and investors.
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  4257. The David Goggins of math !
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  4258. A 10% penalty for a homework worth 0% is the type of grading scheme I wish I had :(
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  4259. You're embodying "See you at the top". Good work man!
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  4260. This is an amazing AND informative video! Thank you Math Sorcerer!
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  4261. My uncle has a Doctorate in Math and still loves studying more. 😁❤
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  4262. The way you write on the board has so much swag. Nice video, love your channel.
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  4263. Thank you for being such a beacon of positivity and knowledge in this world of people with negative attitudes and no mathematical literacy. You really are a great role model :)
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  4264. I work out 20 questions per section per week. All chapters vary in terms of sections. This is all I have time for. I also take the test at the end of each chapter. Passing grade before moving into a new chapter is 70%. If I score less than 70%, I repeat the chapter in full.
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  4265. This book is the pre-requisite for Do Carmo's Differential Geometry of Curves & Surfaces.
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  4266. I really needed this video, man! I started this journey into mathematics about two years ago when I was accepted to a university to study. Initially, I was gonna use it so as to get a chance to study psychology at the same university, but I quickly fell in love with everything around mathematics When I saw my first proof, I knew I had to stick around and learn as much as I could! Once I was settled, the adventure began. Even though it's been hard sometimes, I enjoy each second I can get to think deeply about those little things I didn't see as important before, and I get even more excited if I can manage to do a proper demonstration of anything. However, mainly because I spend time with many people who have more years of study than I do, I get easily frustrated when a particular subject becomes hard to understand (which was my situation when I was introduced to proper algebra for the first time). And with that, comes the imposter syndrome. It's not as bad as it could be, but there are some moments when I feel I should give up and try something else instead, something "easier" I'm really glad you make these videos! This community you've fostered and you have made this journey less lonely when I'm being too harsh with myself. Thank you all, and I hope you achieve your mathematical goals
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  4267. Please make more videos about CS.
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  4268. Ah man it's seems so easy to say that, but I feel like I've tried everything. Is this weird, I feel so drawn towards math but I'm so awful in calculus even some algerbra problems... I like to day dream sometimes of me doing long equations on the chalkboard but I can't even surpas calculus!!
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  4269. Maybe some smaller picture tips I have: 1. If you're really worried about certain aspects of tutoring, e.g. feeling like you don't know enough, anxious about 1-on-1, etc. maybe try something like a tutoring center. I work at Mathnasium rn for some extra money and it is great and a more team focused environment. 2. Try to notice when you're going too fast. Sometimes when I'm talking about something I really like, I go too fast and forget that the student needs to learn, not just be bombarded with the fact that I really like something. 3. Try to remember what it's like to not know something, this is not easy, but it will make you more empathetic and may help you understand what they aren't understanding. Great video math sorcerer!
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  4270. awesome! i'm in 7th grade and i'd love to take physics and chemistry, these book's is indeed interesting to read! (i'm doing an advance learning btw :))
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  4271. Hello math sorcerer! Fleming is indeed the classic on this topic! Also could you make a video expressing your views on the volumes in Stein and Shakarchi's Princeton lectures on analysis series? I think they are all amazing!
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  4272. Haha this one got me good.
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  4273. I like how you are constantly engaging with students. I wish my professors were like you but we got PowerPoint lectures instead(who does PowerPoint for math?).
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  4274. a bit more sorcery to learn
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  4275. Concepts regarding calculus are quite intuitive as opposed to more advanced math topics, however our current educational system is fundamentally wrong, especially in that it rushes it. You jump into third order integration, or decide what a certain point is with respect to the behavior of the function at that certain point, etc. You can't understand why is it so before you were given an understanding of what Jacobian is, for example. We even jump into solutions before the proofs of basic derivation rules are even shown. That provides students with a slippery basis, which makes understanding of further calculus harder. I passed Linear Algebra before I passed Calculus II (which was multivariate calculus + 3D calculus in my uni), that certainly made my understanding of Calculus II easier. I think the way our programs are set are fundamentally wrong and rushed.
    15
  4276. Hello teacher! Greetings from Mexico City.
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  4277. you are so right!This is really important for tests as speed gives you enough time to find the right way to approach a problem especially if it's a very complex one....great job math sorcerer!!
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  4278. I needed this anwer rq for my hw in hs
    15
  4279. Thanks for the encouragement prof. I am 72, self taught and presently getting to grips with the Euler/ LaGrange calculus of variations. At my age one needs to keep what's left of the old grey matter from turning to mush. Regards from across the pond in the UK...and cheers.
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  4280. You uploaded HUNDREDS of videos an hour ago! Just what kind of sorcery is this!
    15
  4281. "Because maybe.. you're gonna be the one that saves me and after all, you're my wonderwall."
    15
  4282. my man is getting shredded
    15
  4283. Thanks a lot for this, been struggling to keep up with classes, just gotta keep on keeping on
    15
  4284. Would live in the 1800s just to have handwriting like that woah damn
    15
  4285. My first taste of calculus was a business calc course. Loved that course. My lecturer really made math enjoyable and sensible.
    15
  4286. My one of the favourite book, all books of "every thing you need to ace" are just amazing and pretty easy to learn 😊. Love you The Math sorcerer for these kinds of reviews it's really helps us to improve our maths and increase the interest on it. You know mathematics is a music of reason according to "James Joseph Sylvester" and what's your opinion that is mathematics is the branch of science! I'm really confused about it 😕.
    15
  4287. Amazing explanation of the tangent line! Really good!
    15
  4288. Thanks for all these inspirational videos - I’ve just started a masters in applied stats and immediately began to doubt myself. These videos are helping me turn that around - thank you.
    15
  4289. I just found your channel, and I gotta tell you, when you said it's ok to take breaks I almost cried. I feel very guilty and anxious everytime I stop studying. I'm almost graduating in biology and I already started a second undergraduate course on Data Science, which is waaay out of my comfort zone. I always loved maths, physics, chemistry, but it was never comfortable to study them. I'm trying really hard to make this work, I wanna do some conservation work with the help of data science, it's very important to me, and I really want to succeed. Taking breaks always feels wrong, like I'm not trying hard enough, I'm being lazy or something like that. It gives me so much anxiety, I end up doing absolutely nothing. Thank you so much for your videos, it's a really important Service for students. You're important!
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  4290. This made absolutely zero sense to me.
    15
  4291. I love maths!
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  4292. Thank you. Your words give me a feeling of relief. I love math and sometimes I struggle and in these moments I feel like I am the only one in my course who has a problem with it. There is this fear that I have a lack of ability, which is horrible. And in these times to hear something like this is so helpful. Thank you.
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  4293. “This is like the most popular book in the entire world” the Bhagvad Gita enters chat
    15
  4294. Feynman is the God and Hero of all physics teachers including me.
    15
  4295. I'm a engineering graduate and I think that approximately less than 10% of these are actually thought to us😂
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  4296. Man, it took me so long to cross this bridge for math! I had to wander through a series of rabbit holes to discover how amazing the evolution and significance of math really is.
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  4297. Splendid example of a classic text that is designed to be used more like a workbook as The Math Sorcerer points out in his video — seems to me this text among others are prototypes for the Schaum’s outline series. If you’re taking a Calculus course I recommend that you a pick up a copy of Schaum’s Calculus with over 1000 problems, and most likely modeled after this text by Phillips.
    15
  4298. I had some of these topics in one of my mechanics courses (construction of machines) in the 2nd year of engineering Maybe they should have named the course something like "math applied to mechanical structures"
    15
  4299. Man, that was good. I Would love to see you in a hollywood movie!!!
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  4300. You hooked me up on collecting math books, now whenever I go to an antiques bookstore or second-hand books seller my first thing to do is to check out the math section (if there is any, if not - then science or nature section, sometimes here in Hungary they just mix them all together) - since that, I acquired 3 very rare and interesting math books from hungarian authors, there is a big demand for these and hard to find them - It's so satisfying finding them for a cheap-ass price. And man, that smell...
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  4301. have a cup of tea with your math book, that's the ultimate guide to happiness
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  4302. It's both fun and very useful to see how a such simple step in algebra involving square roots and negative numbers can matter. It definitely keeps the basics from feeling boring, and that's the kind of thing that puts me in the mood to do more practice problems! Thank you!
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  4303. I love your content. I'm dyscalculic and I wish I had had the ability to master math in school. I was great at everything else 😪. But your videos inspire me to want to move past that and to learn.
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  4304. @Brad Larson Agreed
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  4305. Thanks for sharing Sir . That's true math impact on our daily life . Without math we can't imagine the world.
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  4306. when u gotta surf at 2 but do ur homework at 3
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  4307. Can I get an epsilon from someone? I need it to start my proof!
    15
  4308. Having fever doesn't stop me from learning these things. Thanks
    15
  4309. Just admire you and your frankness, sir! Thank you so much! :-)
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  4310. I'm 19, going through very tough phase and I know it will continue for 2-3years. Please pray for me 😢 I think I will become homeless after graduating 😞, life sucks and everything is going against me. But still going on, thanks for motivating 🙏🏻
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  4311. It is better to practice for 1 hour every day for one week than to practice 7 hours on the same day. Well, of course, it would be better to practice 7 hours a day for 7 days. The idea here is about to be consistent.
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  4312. Thanks for this therapeutic video. Unfortunately, I haven't been doing math during a lot of time, but I hope, one day I'll be proofing theorems from "Elements" Euclid.
    15
  4313. I think for most students, the goal is to merely survive that first calculus class, and I think there are two or three keys to success. First, keep your eyes on the prize...generally speaking, the primary tasks of that first calculus class is finding slopes (derivatives) and areas (integrals). That's it. Second, draw the functions out. Graphing calculators are helpful, but I would suggest using pencil and paper. Get a feel for the shapes of these functions. Pay attention to singular points...where the functions "blow up". Three, spend time reviewing algebra and (especially) trigonometry. Review concepts like partial fractions and completing the square. Review trig identities...you should have dreams about the unit circle. Before you can get an A, first you have to be passing...and a significant number of students...students who have mathematical aptitude and interest...fail that first calculus on the first attempt. And the second attempt. And abandon STEM fields altogether because they can't get past that first calculus class.
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  4314. Is it possible for you to do a problem from each chapter? Cause this is great for people who has never done proofs
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  4315. Why do you look like Jeff bezos
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  4316. Just join the channel. Listening to your video since I want to restart mathematics at the ground level. I'm no longer a younger person, still I've always enjoy reading, and learning different subject. I do agree on all the points you've provided, and from my point of view, the "best" way to learn is... yours. Once you've decided and stick to your decision, and this is the "key point", the "how" is up to you. Yes, you have to listen, read, practice at the same time ? As you wish, you know that you can do that step by step, for how long you want, in my way of doing is at least 15 mns. I do courses in languages at least 2 hours per day, learning "how to" learn, computer languages/editor/gnu-linux, on philosophy, history, art etc. Listening to it from beginning to end once, and redone this one, two times more, while noting information, I also do that with videos. Also use different persons and read/listen/watch how they explain the same thing that you're learning. Sometimes the way used by one person is more "listenable" to you than another one. It's much a matter of (in my case) of constancy than anything else, nothing to prove to anyone, and if I learn, it's a personal pleasure. Reading, listening to music, inside, outside, while commuting, at the "lunch pause". Everywhere is the right place.
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  4317. jesus christ why is so fucking accurate, like EXTREMELY
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  4318. Professor I love your book recommendation videos!!!!!!!!! Those books help me a lot in my math courses and I use them as reference books.
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  4319. hey i guess that'd mean a lot to me: i'm from germany and your videos are helping me a lot to learn this stuff :) guess i'll just have to repeat it a lot now. how long did you take to get good at this to the point you can make a proof up on the spot?
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  4320. This book is very rigorous. I just got it last week and its helped me much more than my teacher and any high school textbooks. Highly recommended
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  4321. I like that you're the only one who focus on an extra work not just work and how you made us all interested in math♥ thank you for your efforts
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  4322. Oh no I look my future in this video hahaha
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  4323. Python is the programming language everyone has been trying to learn. Even before programming I knew what Python was. Nice video! Also, can you make a video to reach the basic level of mathematics of a fresh undergrad/pre-uni? Something more low-key for people who are weak or new in math.
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  4324. Not to belittle the importance of lecture notes, the most important thing that has helped me in math and math intensive courses (e.g. physics) is to learn to read a math book. There is a definite learned skill (and one that is not learned overnight) in this and it opens up entire worlds that were previously inaccessible. Universities could easily offer courses in this but don't (not necessarily a criticism; they have their reasons).
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  4325. That’s every prof tbh
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  4326. You can always study things as a hobby. My favorite science is Astronomy and also like things like Philosophy. However, They suck as career. So I chose something practical & interesting like EE.
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  4327. Porque no nos dijiste que habla español y tienes un canal matemática en español. Forgive my poor Spanish. As someone who is self learning math and Spanish, it was a pleasant surprise to find out that you also have a math channel for Spanish speaking audiences. Very curious to know how you came to speak Spanish, and if you are not a native speaker, how did you learn, and what parallels if any have you noticed between learning math and learning a spoken language?
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  4328. Yea, I failed Differential Equations twice and passed the third time. I credit my passing to the fact that I was only taking that one class for the semester (that was literally the last class I had left for community college), and like you said EXPERIENCE. I had taken the class twice already and I really did try hard each time. So I got better each time. The questions and formulas started to become normal and by the third time I knew exactly how to apply them. I got a B in the class and it felt amazing.
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  4329. THANKS MATHSORCERER Mir publishers always quality garanteed
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  4330. The North American telephone numbering plan started in the 1950s, along with long distance direct dialling. The four digit house number means the book was used in the United States or Canada. In the UK house numbers are 3 digits maximum.
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  4331. "how do u read math books, smelling them" dead XD no but ngl love your energy man love your enthusiasm, i wish you were my lecturer
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  4332. problem with a lot of these older books (and yes that includes Lynch's books) is that they were written when they were trading before heavy computers/AI/algorithms. Yes the basic tech analysis still applies if you want to trade. But a lot of the trade/stocks examples they give in the books are from before 2000s, heck even before the 90s. Yes Coca Cola was a good buy back in the day....of course....
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  4333. The only course I dropped was what was supposedly a first course in Algebraic Topology in grad school. Long story short, in a class that started with nearly 40 students, only 4 stuck it out. Years later I ran into one of my grand-advisors (my undergrad advisor's advisor) at a conference, and he specializes in topology so I wound up telling him about that course. He told me that the way the material was presented was absolutely how a person who has been specializing in topology for 30 years thinks about those introductory concepts... But that picture is something a person is usually going to only have after they get at least 5 to 10 years further into the subject.
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  4334. I wish you were my teacher math Jesus. I would never miss a class.
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  4335. High school math teacher is a 8 to 8 job. And the kids are two years behind the subject matter. The state grades the teacher on the student outcomes. Fun.
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  4336. Neural networks Of course it LITERALLY changes your mind
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  4337. I actually enjoyed A First Course in Calculus. I got an older edition which was brief and focused on the essentials, without flashy artwork/images or uninteresting applications. I think the oldest edition has been re-released under the title "Short Calculus", less than 300 pages and you learn all the calculus covered in a first course at my uni. It skips epsilon-delta stuff but is otherwise rigorous, as I recall it. A great book for a beginner in calculus and a great preparation for more rigorous books like the ones by Spivak or Apostol :)
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  4338. "I collect math books" - Math Sorcerer is one cool dude!
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  4339. To learn and retain new material, organize "Problem Set Parties" with a few classmates (who have their acts together); discussing lecture material and problem sets with your peers is very helpful to clarify ones ideas. For exam preparation, assure that you understand the homework solutions by yourself, do some of the unassigned problems (Undergrad texts generally have a ton of problems.), ask for copies of previous exams and work them in a timed environment.
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  4340. I would enjoy a review of Linear Algebra Done Right.
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  4341. I've got the Dover re-print!!! :) :) :)
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  4342. Love this book. Made me love counting.
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  4343. That book is really beautiful. I like it when books go for a color palette that's black, white, and shades of some other color, but usually they go with a blue that's kind of loudly bright. The green shades in this one are really contemplative and pretty.
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  4344. Dear Professor thank you for sharing this video. Your review of this book has refreshed some good old mathematical memories: Cardan's method of solving a general cubic equation, arithmetic/geometric/harmonic progressions and tables of logarithms/trigonometric/exponential and other functions. I studied Cardan's method in first semester of my B.E. (Computer Systems Engineering) here in Karachi, Pakistan in 1986. I was intrigued when I heard your comment that it is no longer taught in college courses. The arithmetic/geometric/harmonic progressions and tables of mathematical functions were part of our Mathematics courses in high school. Although the use of electronic calculators were allowed but we were taught about the use of these tables of mathematical functions also.
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  4345. I'm taking an online course in abstract algebra after not touching math for 5 years... your videos may be the one saving grace that helps me finally finish my math degree. Thank you so much
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  4346. This is one of the best channels on YouTube.. So helpful and satisfying !
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  4347. Studying maths gives rise to the truth behind many natural phenomenons to me 😌
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  4348. Love ❤ from india in independence day 🇮🇳🇮🇳🇮🇳
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  4349. At first, I thought you were going to say "General Topology" by John L. Kelley.
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  4350. Complex analysis was one of my favourite subjects in college. I intend to make videos on complex analysis soon.
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  4351. Wait, English isn’t your first language?
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  4352. This was my favorite video of yours. Hearing someone with your experience level talk about school is like when my grandfather tells me I'll be okay haha. Junior year CE major here, thanks for the motivation to reach my potential!
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  4353. Nice video :) I recently discovered the “Art of Problem Solving” books (AoPS) and have been working through the one on pre-algebra. I’m wondering if you have any thoughts on that series of books (specifically in terms of content coverage), if you’ve encountered them; they’re certainly pricey (maybe even a bit, shall we say, “entrepreneurial”), and not for everyone, but I really like their teaching style so far. For instance, in the first few pages of the pre-algebra book, they get the student to “discover” Gauss’s rule for summing a series of integers. For some reason my classmates and I didn’t learn this until a university physics professor told us about it. (While the technique is certainly not university level material, I find it intriguing that virtually no one in my class knew about it.) For reference, I was a physics major in college and stopped just short of real analysis, but I’ve forgotten a lot of things, and some things I never learned particularly well, so I’m taking a year-long tour back through all the math leading up to analysis, and then hopefully beyond, allowing myself to stop and smell the mathematical roses along the way. I found your video interesting, particularly as it aligns with my current studies, but I can’t actually find previews of your books online (i.e., on Amazon), so it’s hard to tell how much overlap there is, or if I’ll be missing much on my current course with AoPS (or, conversely, if I’ll be getting far more out of it). Anyway, I like the channel, keep it up!
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  4354. Your videos are so therapeutic
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  4355. Motivation only gets you so far. It is discipline that lets you do the hard things when you don’t want to.
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  4356. My goodness i was having trouble learning this through our online classes, this video literally answered my prayers i love you man!
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  4357. Hiii my name is isha.. I am in grade 9 maths didn't like me... But now after following your valuable tips it has started to like me... 😊😊🥰🥰
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  4358. The important thing is that you pass Xd
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  4359. We appreciate your insights as always. Keep up the good work.
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  4360. Dedicated study time (both theory and working through problems) is very important. My main tips for studying mathematical sciences would be: 1. To work through difficult problems (not just the easy ones). Difficult problems typically hold a lot of insight within the question and will iron out any misunderstandings you have. Also, learning how to work through the hurdles is an important problem solving skill. If you find you are skipping over the harder problems then you are really missing out on gaining a deep understanding of the topic. If the questions available to you are too easy then find multiple solutions to the problem OR make the problem more complex yourself. 2. Finding anything interesting about the topic you are learning. If you aren't interested in what you are learning it will always feel like a drag which sucks for everyone. You want to be enjoying what you are studying. It will not only make studying easier but it will also help with your mental health. Asking your teacher/lecturer or googling more information about a topic such as its history, applications to areas of your interest, etc will help with getting some enjoyment out of it. It will also help with staying engaged with the class!
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  4361. Great advice and unfortunately never mentioned in Schools. What you say can be applied to learning anything. The sad thing is, is that Teachers and Schools would rather let you flounder. It took me becoming a Teacher to finally realise what the problem is. In an effort to help students that were failing, I started a workshop called "Learning to Learn" where I would mentioning a lot of the points you touched on.
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  4362. Math is created by man. Before man, math was simply a geographic phenomenon you can see in flowers, or in some sea shells containing the fibonacci sequence. Perhaps this is also false, because the word "Geographic Phenomenon" was also made by man. So then this means we human beings can only see math as math, while other organisms perceive it as something else entirely
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  4363. I like these kinds of videos math sorcerer. please make a playlist regarding you proving stuff from advanced calculus. From Royden
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  4364. Oh I do have a very powerful piece of advice especially for math students. This one is really simple. When studying a difficult new area, it REALLY HELPS if you simply copy formulas as an exercise in CALLIGRAPHY. Try to use your absolute best penmanship, and just copy without thinking about meaning. Focus on the calligraphy. Do that a few times, and THEN start parsing the meaning of the equations. This is how I used to study difficult concepts in Diff EQ. Success starts with CALLIGRAPHY !!!!! Fill notebooks with calligraphy and just throw them away.
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  4365. I remember paying full attention in Calc 2 and being in a very conflicted, complicated mental state... went from super high A in Calc 1 to failing :/ went from wanting to double major with math to having to give it up, was brought to this channel in the hopes of going back into that love Thankfully my main major, Computer Science only required Calc 1 at the time
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  4366. What an egregious error, Sorcerer. I expected better. Yeah right! We all make mistakes. Lol just yesterday I was tutoring someone and mixed up secant lines and tangent lines and got super confused. If you feel bad about this imagine how that made me feel lol
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  4367. thanks daddy
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  4368. I would add this also applies to "adult" learners. I have had to recently revisit linear algebra 20+ years after doing any "math" (it was a stochastic models course). Your advise is spot on. Take time and concentrate on the problem(s) at hand, don't get overwhelmed and it will start to click.
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  4369. I was reviewing a section in my textbook that had this problem before the root test was introduced. The way I solved it was to compare it to a series of one. The answer was correct, but I'm not sure if the process was legal. If someone know, let me know. My thought is that it can only work with certain problems.
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  4370. Man I love your content you're making my life easier
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  4371. thank you for the advice, I am at a place where I really needed it.
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  4372. Enthusiasm is the most effective way to transfer knowledge. Seriously, seeing you enjoying it and having a good time with the students made such a difference to me, what you are doing here on this channel is great, just great :) Thank you for making DE's fun to learn! (i just completed the entire playlist of lectures)
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  4373. Excelentes recomendaciones, gracias Math Sorcerer, tu canal vale oro en un mundo en el que la lectura se ha dejado de lado
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  4374. I have to disagree on this one. I don´t take notes for a couple of reasons. Firstly, all my lectures are recorded or have already been recorded in the past. Secondly, I realised that paying attention and asking questions in my head, pausing the videos and trying to answer for my self is much more effective way of learning and understanding proofs. Unlike blindly copying notes from the board, that the teacher copied from his notes, which have been copied from some book and so on :DD. Also, when I watch a lecture I have a basic understanding on the topic, so I usually watch it for a reason - I didn´t understand something in the textbook. So, I usually try to be hyperfocused and try to understand every single implication when it comes to the part where I am lost. I believe this is a better approach. Not that notes would be completely useless, but you can fin all the exact information in a text book. (In the Czech Republic we have type of text books which are called "scripta" and it is usually writen by the lecturer. Thus, it includes all the information you need. (Also you can use other sources, but "scripta" are the best ones, since it matches the course).
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  4375. Actuaries make a very good living. That is a branch of mathematics.
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  4376. Math is my drug of choice. I enjoy binge-watching videos of different problems, even if the topics are beyond my level. Math textbooks are the only textbooks I can read and not lose myself in boredom, haha. Always fun :)
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  4377. You should review “Multivariable Mathematics” by Ted Shifrin next. It was written as a sequel for Spivak’s calculus for students at the university of Georgia. Curious to know how it stands compared to Hubbard and Hubbard.
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  4378. Thanks a lot, you don't know how much trouble you've saved me from.
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  4379. I Will 🔥🔥💪
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  4380. After working so hard on being an artist and getting burned by AI, I'm so worried about picking up any other skills like coding that is also affected by AI. Like Dominiek says it does takes so long, understood that first hand I'm growing to hate this world so much because of this..
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  4381. I'm digging deep tomorrow! You consistently rock. Thank you for all your hard work on this channel, it is sincerely appreciated
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  4382. Tao is a very good communicator. Modest, fluent, responsive, considered, honest, and humorous. Very good person, a great scholar and a gentleman to the core.....
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  4383. I think it's more than just writing it down. When I come across a new definition, I have to pause and reflect on it for a good long while before I feel comfortable moving on. For example with the definition you used in the video of a "point absorbing" set, I would try to find examples that fit that definition in R2 (eg. ask myself: do any open balls satisfy this definition?). Then once I found a few examples, I would try to make a conjecture about these examples and try to break my understanding by looking for counterexamples (eg. ask myself: If U is point absorbing and an open ball in R2, must it be centered at the origin?) Then I would try to find other examples and so on. Also, if it's a definition I can represent with a drawing, I try to do that because I prefer visuals.
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  4384. Age is just a number, specially for people with strong will.
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  4385. Seing the math sorcerer laughing makes me think life is beautiful. 😊
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  4386. For me is the other way, I think I practice a lot of the same stuff and just cant do more "progress" because I dont feel competent in what I learned, I practice every day and I get mediocre results (in my opinion) probably because of bad sleep and feeling guilty when not doing math in my day
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  4387. I read this book (in Russian) some 50 years ago while I was 7 and my father was a student :) Must say differential equations were an easy stuff, but I didn't managed to get through variations calculus
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  4388. Thank you for a timely message!
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  4389. "I'm really good at getting stuck on proofs!" I really needed to hear that:)
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  4390. Problem looks scary. But very interesting
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  4391. I started studying mathematics after years of studying electro-chemistry. One day, I sat down and I derived a simple equation that wasn't published in any book. I wondered what else I was overlooking. I had to start at calculus. I have no formal mathematics background. I studied a lot of calc, diff eq., linear algebra, and some stats. I'm reading a Linear State Space Control Systems by Williams and Lawrence at the moment.
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  4392. What is the best calculus book? This is all relative and a difficult question to answer. You need to add "best calculus book for what?" For example, if you have little or no knowledge of calculus, you would want a book that YOU can learn from at your level. If you already know some calculus, you may want a book that goes into greater and more rigourous detail. When I was an undergraduate at CSULB I went around to several math professors and asked them what was the absolute best calculus book. The consensious was "Calculus Vol I and II" by Tom M. Apostol from CalTech, so I drove up to their book store in Pasadena and bought both volumes for $100. Not knowing any calculus at all, and certainly not Caltech undergrad material, the books were absolutely worthless to me to learn calculus After three semesters of calculus and one semester of Analysis, I went back to Apostol's books and dang those books were really good. I really learned a heck of a lot of math. Filled in a lot of blanks. One of the best book buys ever. One of the best complex analysis books around is by Levinson and Redheffer. Would I recommend it to someone totally new to complex analysis? No, I would recommend the book by Churchill, 1st Ed, 1948 no less. Easier (in my opinion) to learn from then the later ones with Brown.
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  4393.  @TheMathSorcerer  The Castros have driven so much talent away from that land.
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  4394. I just started reading statistical and adaptive signal processing my Manolakis. The book requires stats, discrete math, diff eq., and linear algebra. The main focus of the book is the mathematics of discrete-time signals. The book uses a linear algebra style of statistics to search discrete time series for patterns. The major application is discrete electrical signals. The math is very meaningful and insightful into the foundations of our digital society and its' foundation in mathematics. It's a well-written book with complete descriptions at an upper-intermediate level.
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  4395. Thank you for this much needed booster.
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  4396. i will start now i hope to be something good in the future
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  4397. This is an extremely good video because you stumbled (or pretended to :) ) a couple times and talked us through how you figured it out. That’s super helpful. Thank you.
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  4398. Back in 1974, when I was starting college. I was in the registration line behind this guy from Iran. The registrar was trying to talk to him, but he spoke very little English. She was getting flustated, so she picked up the phone and called the ESL department. I heard her say, "What the heck is going on with you guys?" "I have one of your students here from Iran, who has a near perfect score on his TOFEL, and can barely get his name out of him." "The guy hardly speaks a word of English!"
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  4399. Definitely meant for graduate students.
    14
  4400. I'm only doing compound lifts
    14
  4401. I have to add something about this, I've been doing math by my own (reading books and doing exercises from them), programming too and I already take a course in logic before, and yes I have to admit I felt a bit better at rational thinking BUT it also helped me a lot recently to be able to be more creative and better at understanding texts (and reading in general) to read literature. In my case classic literature but I think any kind of literature should help (well, not any probably). PD: Sorry if my english is a bit glitchy today, I am kinda asleep
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  4402. I was looking around for exactly this! I am trying to learn math independently ongoing from my calc class so this is immensely helpful to know which chapters calc 2 and calc 3 starts and stops at!!!!
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  4403. I have a collection of books by Mir Publishers. The Maths and Physics books by Mir publishers are reprinted in India at a very cheap price like a dollar or two at times. These books are a staple for inquisitive students who end up doing exceedingly well. I was actually taught calculus using books from Mir 2 decades ago :). Love your videos. Thanks.
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  4404. I don't know if vying for "world class" is ever a healthy goal.
    14
  4405. The Math Sorcerer has ascended!
    14
  4406. mans trynna escape the camera😂
    14
  4407. Lol I don't even know what to say about this video
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  4408. As a college Math Club President, you saved my life and my reputation. Thank you Math Sorcerer.
    14
  4409. honestly your amazing so down to earth such a pleasant voice!
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  4410. I got into math through physics. And I will always be thankful to physics for that.
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  4411. Unrelated to the video, but i'll say it anyway: Watching your older videos vs. watching new ones has really inspired me to go to the gym aswell. I've been going for 2 weeks now and it feels really good. You look awesome by the way, seriously. Keep up the grind my friend, I respect you. Great video as always.
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  4412. The problem in my opinion are not the Grades. It's the difference between humans status. As an example some have bad situations to deal with at home, some can afford private study lessons, some have bad or good backgrounds. This is a huge effect on the learning process and going through school until they start to work. Not everyone has a life where everything is perfectly set for them. This was an short hint, hope it is clear what I meant..
    14
  4413. I'm a phd in analysis and I personally would say the following: 1. Don't even try to learn by listening to a lecture. Maths are a rigorous science and therefore are best learnt by reading at your own pace. Get the course book or ask for the lecturer to publish the lecture notes online. If a teacher won't do it, make a written complaint about it to him/her via email. Nowadays no uni teacher will dare not publish their lecture notes. Sooner or later you will have learn to read math books, so the sooner the better for you. 2. Learn to drink coffee (no joke) because the stimulant called caffeine really helps to stay concentrated for long periods at a time. 3. If your course is say introduction to stochastic analysis, in addition to your course book get also a few of the classics on the same topic. Nowadays it's easy to find out what the classics are by asking from a maths forum or from your teacher. This way if you get stuck on a proof on your course book you may find the solution from one of the additional books. They act as a back up. 4. One chapter at a time, first start by reading all the theorem statements and in-between texts but skip the proofs. This way you get a global sense of what the chapter is about. Write down the theorem statements in your notes either by pen or by latex. Try aleays to memorize the statement, then write it from your memory. 5. Once you've done that go back to the beginning of the chapter and start reading through the proof of each theorem. If there is some step you don't understand, note it for yourself. Try to isolate the step you don't understand and just skip it, so that you don't get stuck. Once you've reached the end of the proof, write it (minus the steps you couldn't follow) in your notes from your memory, using pen or latex. If you don't remember the proof, read it as many times as you have to until you are able to write it from beginning to end without looking at the book. Write out all the intermediary steps for yourself that may be missing in the book. 5. This may seem tedious, but once you do it (especially if you write your notes in latex) the notes will last your entire life. In the end it's not even that slow. You typically won't even have to do much revising for exams, because you had to read it thoroughly and understand the first time. 6. Once you've written all the proofs (minus the steps you couldn't follow), marvel at your notes and one more time go through the theorem statements and think them through. The theorem statements are the most important thing in a chapter. If you plan to become a maths researcher, then also learning the techniques used in the proofs is important. Slowly you'll start noticing the same techniques appearing over and over in proofs. Just like any language, the more you read proofs the easier it becomes. Maths is nothing but using a finite amount of basic building blocks over and over again. 7. Now exploit the lecturer/assistant by asking her to explain to you all the steps in the proofs that you were unable to follow. Remember their job is to help you, so don't accept if they make you feel stupid or try to shame you for asking. Don't give up demanding help until you understand all the missing steps. Add the missing pieces to your notes. 8. Makr sure that you have all the prerequisites before attacking a book. For instance a pretty good starting point for the basics is Nicholson - Introduction to abstract algebra Rudin - Principles of mathematical analysis. Then after that Rudin - Real and complex analysis. Once you've studied these the way I explain above, you've basically won mathematics - everything will be easy from then on and you can study pretty much any book you choose to.
    14
  4414. Even five years later, it is still the best explanation I could find. It was coherent and comprehensive.
    14
  4415. Ok, I'll try to perform. It's SO hard to overcome ownself. Thank you!
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  4416. I needed this. I failed Calc 2 and got a C- in Calc 3 ( I am a physics major who ironically is now taking math double major) But with more practice and better teaching I aced my diff Eq, Linear algebra and my first proofs class. I will be taking my first upper level math course next semester in topology and advanced algebra. I realized that the large sized calc classes with the weed out process really hurt me but in reality I actually enjoyed math and needed more practice. Unfortunately grad school for math and even physics might be a far shot cuz those two calc classes (and an entry level physics course) destroyed my GPA even though I had mainly As in upper level courses. Tl;dr practice and smaller class sizes without weedout really helps I went from a 2.1 for 3 semesters to 2 sems of 4.0s. practice helps and I am proof of it.
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  4417. "I'm gonna put this in a box because it's an accomplishment" Whenever I finally solve for a difficult building block I always have an insatiable urge to box it :)
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  4418. I know these videos are to make us laugh, and some things really do happen like that lmao But I want to say that my Calculus and Algebra classes are really great Both the teacher and we have the cameras and microphones activated, we participate during classes, it's nothing boring like those high school classes where everyone is hidden and the teacher talks to an empty screen hahaha I believe that if you have good teachers, at any educational level and also the students really want to learn, great things can be achieved Thanks for your contributions, you help a lot of people <3 PS: As a tall person, I can affirm that I am a calculus master B)
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  4419. You smelled the book! I was waiting for that moment 😂👍
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  4420. I love these videos. I wish I had a tenth of your lucidity. When I do math I just say to myself, 'okay, now I do the thing, and then I do the thing...'
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  4421. I'm sure someone with your background would benefit more with Mathematical Finance texts! The only math you need is Linear Algebra and Calculus to get into Econometrics and look into Arbitrage
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  4422. That doesn't mean the work can't be fun! ❤
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  4423. That book from 19th century is a piece of art.
    14
  4424. I had come across a similar book called Higher Algebra by hall and knight in my higher school days..they were a notch higher in difficulty than standard books prescribed to us..
    14
  4425. Two points: 1) it was as if you were talking to me directly- Thanks 2) Regarding your last piece of advice- I suggest that if you want to tell someone , only tell your Mother- Mothers give unconditional support.
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  4426. Everyone is gangster until your math professor join your game.
    14
  4427. I think I'm at just barely a high enough level of mathematical maturity to not feel like an imposter :) Math is hard, I love it, and I think I will read this book.
    14
  4428. Hang in there bro
    14
  4429. Veritasium made a video about becoming an expert at things recently and he said that not only do you need to practice but you need to practice things outside of your comfort zone. Differentiating 1000 different polynomials isn't going to make you any better at calculus if you can already do the power rule, but doing 100 different polynomials and 100 functions which need the chain rule, product rule, etc will.
    14
  4430. I'd love to see a channel that works through Ramanujan's notebooks. I spent many hours with the earlier chapters (not counting chapter 1 on magic squares) at the beginning of my education, here Ramanujan exhibits his skills with the Euler-Maclaurin summation formalism and series formalism more generally, he gives many interesting and inventive methods that I've forgotten. Ramanujan's computational style of giving explicit series representations seems particularly well suited to attracting more people towards mathematics.
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  4431. Thanks alot for the pep talk! I failed out of college at 20 because I didn't have my priorities straight. I spent the next several years teaching myself to be a software developer. I restarted college spring 2020. I am majoring in computer science. This is my third semester in. I have a 4.0 GPA and I turned 31 this July. I'm so grateful for the people who have supported me, and my message to everyone thinking about it is this: all that it takes for you to achieve it is to decide that you will. My advice: write yourself a letter on day 1, where you tell yourself why you are doing this. If you ever have a doubt of why you are doing this, read the letter. Don't quit.
    14
  4432. Given that in the current day you have to learn how to code to get a math degree, I think people should thinking about double majoring in both. The cross-over of classes is so close between the degrees that you should not have to take a bunch of extra hours.
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  4433. Wow! My mom collected this series! I believe she has the Algebra, trigonometry, Calculus, and geometry 🤔. She bought them because they were recommended in a book Mathematics: Is God Silent? as a good series in self-taught mathematics and she loves math.
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  4434. I don’t play league of legends, but nice to see you take a break!!!
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  4435. In fact I had lived all that recently. I'm an electrical engineer student and I earned two fellowships (1250 Usd each) since past year by the mexican goverment because of helping people with my math skills in Differential Equations(mainly), Calc 2 and Multivariable calculus. It's so underrated what you can get only explaining what you know to other people. It makes you a better person in every aspect of life definitely.
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  4436. You just can't beat the letterpress printing and clear-as-a-bell typefaces of those old math books. The integration signs are works of art! Beautiful. ❤
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  4437. I actually just got asked this exact question in a tutorial yesterday. Wish I’d seen this beforehand
    14
  4438. Is it suitable first book to LA for an absolute beginner? Thanks a lot
    14
  4439. So helpful! Corona time!
    14
  4440. The weirdest video ever but i like it hehe
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  4441. There's this really good quote by David Goggins - "A lot of dreams die during suffering." I try to remember this quote every time I self doubt.
    14
  4442. I run every single day '30 minutes, it changed My life in several ways, and one of the benefits are incredible like the capacity to learn math (and other stuff)
    14
  4443. Powerful video. Thank you.
    14
  4444. Ha ha ha
    14
  4445. I have been trying for a while to remember the textbook I used for my first class in modern algebra decades ago. I was so happy to see this because, well, that was the textbook. I enjoyed the course. The text is well written and I was fortunate to have a wonderful professor teaching the class. Now to find where I can buy it 😊
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  4446. "you're just not gonna get it" well... **throws paper and exits exam room
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  4447. recommend statistical inference by casella and berge. Necessary one for Econ Phd in top universities.
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  4448. Computer scientists are minimalists. All we need is a computer, paper, pencil, and a waste basket. Mathematicians are better minimalists. We don’t need a computer. Philosophers are even better minimalists. We don’t need a waste basket!
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  4449. I am from Montreal Canada, in here we have an institution called Cegep which is the link between uni and highschool . Once you go to cegep depending on what you have chosen to study either in buisness or science you'll have to take Calculus 1 and 2, and linear Algeabra. Once you get to uni depending on your program you start dealing with more complex stuff. From my side I remember Calculus as the good old days when you study hard and get A. Once I started uni and went into Computer Science , I had to deal with Discrete Math then I realized that Calculus is not necessarily the best indicator of any solid ability in math because of its straightforward nature, In my mind someone who is truly good at math is capable of abstract thinking, in order to solve different problems that are only solvable if you get the big picture at large. That is what Discrete Math made me realize. Hopefully I could get into the end of my degree.
    14
  4450. Lol this is so wholesome. Love to all of humanity.
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  4451. When you go to college you are teaching yourself. YOU GET TOLD what to learn but you are teaching yourself. And more importantly you are tested on your knowleddge thereby holding you accountable for that knowledge. If you sit at home all day and study nobody is holding you accountable. Nobody is testing you. You can skip whole sections of calculus and nobody will know. It may be a rewarding and intellectually stimulating but don't expect anyone to hire you when you say , " Oh no I'm an engineer. I'M self taught. You can trust my bridge designs"
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  4452. There was a similar book in the UK. It was one of a series in the "Teach Yourself" series and called surprisingly called "Teach Yourself Calculus" by P Abbot first published in 1940, I have the 1967 print. Same idea, lots of worked examples and lots of questions with solutions in the back pages. It is almost a pocket book in size but has 380 pages. So, for UK folks this might be an alternative. Not sure if it's in print today. Doesn't have all that white space that the Leithold book which would be useful for making notes.
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  4453. I am a nontraditional student; as in an Undergrad student over the traditional age. While I love going to college, it is a struggle taking a full course load, working a full-time job and spending time with my wife and kids. My Tip is go somewhere else to study. There are just too many distractions at home like the TV, Video-Games, Refrigerator, Chores, the Inviting Pillow, etc... I like to go to somewhere like the library, coffee shop, or the Student Center (where I am now procrastinating on YouTube instead of doing HW :). I get more done in 30 mins then I would in a few hours at home. Thanks Math Sorcerer for the great videos!!
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  4454. That is so much simplier and beautifully executed! I fell in love more in mathematics!
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  4455. The fifth edition of this book (1982) includes answers to the back of the book, but only to odd-numbered problems
    14
  4456. This question has been asked in one of our national level competitive exam IIT JAM. Thanks sir! From India 🇮🇳
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  4457. Math is hard, become an engineer and you'll get a job after graduating.
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  4458. I have recently had to revisit quarternions to use them to calculate the rotations of 3D objects. It had been a while. I could have easily used Euler angles, but I decided not to. I was glad I did, because it saved me a lot of time. After having solved this, I implemented a Monte Carlo algorithm to sample these 3D objects. It was a thrill to get it all working and then optimize the code. I find helping my kids with their high school math is also very entertaining. It is the small successes that make my day better!
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  4459. ok, good luck!
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  4460. Why don’t calculus majors throw house parties? Because you should never drink and derive!
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  4461. Seems like "Наука"("Science") publishers were going under "Mir" name worldwide, quite interesting. Most likely due to translation intermediary. I ofc have several books in Russian by the original publisher, one of which is "Alice in Wonderland" and "Through the Looking-Glass" under one cover. Half of the book are commentary on translation, the history of the book, Lewis Carroll letters and photos and other interesting things which can give readers the context. All of the commentary ofc were made by different academics in their relevant fields. Good reminder of the times, when enlightment of the masses was a state priority this one. Also loved a book on organic chemistry, wery well-structured and easy to understand, sadly it was stolen.
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  4462. I try to keep my workouts short and focus on the essentials. I rarely isolate and try to stick to compound movements. I'm usually in the gym for about an hour. I used to have these insane workouts and try to hit every singe muscle individually, but I found that made it way harder to be consistent.
    14
  4463. I really like that one, but what do you do when you have fast success and you don't want to build an ego? Seems like an interesting and niche question.
    14
  4464.  @Hi_Brien  You refuse the notion that your success is important and limit any potential changes it brings to your life. For example if you make money you don't move to a bigger house, if you succeed in mathematics you don't take that fancy big prize money etc. You simply adamantly refuse any change.
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  4465. Book of proof by hammock is a great book, is also for beginner
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  4466. The Math Sorcerer I was about to ask if it exists.
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  4467. The only time that you're too old to learn anything in general is when you have stopped breathing, and your heart has stopped beating. Between this moment and that, learn whatever you want. You can do it!
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  4468. I'm 67 and if I had the money I would go back to college again in a heartbeat.
    14
  4469. Retired math teacher here. Todays books have lots of pictures, drawing, etc. Today’s student couldn’t handle this book. I like it! Just the math!
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  4470. I am a university student, have been really really unmotivated and procrastinated for the past 2-3 years which has affected me negatively. Thank you so much for this video Sir, means a lot!! Will definitely give an update here once I turn my life around👍🏻🤞🏻 Let’s do it!!!!!
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  4471. Thanks! Your regular videos give me that little push to do the maths I love!
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  4472. I struggled through school, it took me 7 years, but I did it. I worked, did Real Analysis, Abstract Algebra, and Fundamentals of Geometry (300 level proof based geometry) in the last stretch of my math program (second to last semester, I think). It was hard, but I did it. I didn't realize how big of a deal it was until now. Thank you.
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  4473. I always watch you’re videos and listen to you’re wise words, truly you are my role model in life
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  4474. it seems very comprehensive, I liked that the book explores systems of differential equations.
    14
  4475. Math Sorcerer flexes his book collection again
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  4476. The book titled “Precalculus Mathematics in a Nutshell” by Simmons is another excellent text for beginners
    14
  4477. My tips: Study mindfulness and meditation. Study psychology of performance.
    14
  4478. Thank you, Thank you, Thank you, Thank you, Thank you, I was on the verge of cryinga nd dying, omg thank you, thank you thank you so muchhhhhhhhhhhhhh. ahhhh i love this video!
    14
  4479. THANK YOU SO MUCH OMG
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  4480. Phenomenal proof, so beautiful really :-)))). Maybe I find another one. But this has the most beauty
    14
  4481. Good stuff, I’d love to see more videos like this. Abdallah was in my Calc 2 class, awesome guy!
    14
  4482. Deepening your understanding of a topic will make you remember it for life!
    14
  4483. That's an awesome idea, thanks a lot!
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  4484. The way this book is setup is literally the exact same as the books that my university give me, which they type up themselves. like the overall look of this book is literally the exact same. Guess it's due to it being written in latex
    14
  4485. Personally, I got an "A" in Calc II, but an "A-" in Calc I and Calc III. Go figure!
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  4486. I can only think of two major chapters/subjects that weren't included but should be -- number theory and category theory. Yes, most of the number theory you need for grad school is elementary stuff, but it shows up lots of different places. And category theory might seem a bit abstract, but it's commonly used -- even 25 years ago I had graduate professors who just assumed we were familiar with the basic definitions.
    14
  4487. Nice review! I went through it in 2003 when I was in middle school in Peru. Most weekends went by solving those problems. I studied also the Arithmetics one too.
    14
  4488. One of my FAVORITE fields of math!!! I'm gonna love this book when I get it!! Not IF--WHEN!!!
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  4489. I had a similar thought when i was younger BUT it is never to late. Just think about this: "When you are old and looking back at life, will you regret that you didnt work that 1-5 years more?" I dont think so. If you have financial freedom and you can go to colloge go for it whatever age you are!
    14
  4490. Was on bed hearing this. Got up and started my python programming study right away. All the best to me in this journey. Thank you Math Sorcerer.
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  4491. Thank you man! Here in Peru we see this kind of problem. I speak spanish but i understood everything u said. The way u explained it. You are great!
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  4492. It's a long journey involves passion and patient. Thanks for that useful and wisdoms advice.
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  4493. I'm surprised and glad to see this video, because as a mathematician I have been thinking about "being a minimalist" and I very much agree to this! When I first encountered the concept of a "basis" in linear algebra class, I was amazed to hold in my hand the notion which spans the whole space but has absolutely no redundancy in its constitution -- very minimalistic (as I am :D ) I think mathematics itself also trains us to be minimalists, to naturally grasp any necessary points but discard any superfluity.
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  4494. Indeed! It is very important to stay consistent and practice, practice, practice... But if possible try keeping your sanity somewhat intact aswell! Hahahaha. More often than not math/phys/chem guys try to push themselves to the limit every single day. And well, you know, that's not really a wise decision to make. A few years ago a friend of mine was taking Linear Algebra on his first year of Computer Engineering. A very smart guy to say the least, and one of the most dedicated individuals I had the pleasure to meet in my life. He ended up with a 3.5/10 at the end of the semester. Why? Simple: pushing the boundaries WAY too much, studying way too much, doing way too much problem sets and ending up in a "I don't want to think, just let me finish this POS and head back home" that led him to put (+) instead of (-) and many other silly mistakes throughout the course. Do study math, physics, chem or whatever you'd like to study, but when you feel that "auto pilot mode" kicking in, STOP. "The tests are coming", "I have this assignment to do", "I must finish this homework" or whatever reason you are concocting inside your mind is simply not worth your mental state and more often than not is exactly what will lead you to a bad grade and sub-optimal performance in whatever science-related task you do. One must think in a way that makes sense in order to do math, because to do math is to make sense! Oh, by the Sorcerer. Thank your for your videos, specially the ones you review books!
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  4495. At 65 I'm studying math. Right now it's calculus which I'm absolutely crushing; no surprise there since it's mostly review although at times they throw me a curve (!) but mostly, not much of a challenge. It's a slow trudge but only because of my insistence on attempting every problem in the book. I'm in no rush. After this I'll try my hand at Linear Algebra and, if I'm successful in that, on to Differential Equations. My purpose is strictly recreation and mental challenge. I like to solve puzzles and math provides an endless supply. You could say math itself is the ultimate puzzle but you'd be wrong. Women are.
    14
  4496. I’m taking calc 2 this summer. This is brutal
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  4497. I wish I would have seen this when I was getting my math Minor in Undergrad, it took me a while to learn these things on my own. This is an awesome video
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  4498. Thanks, Math sorceror. I was studying for my A+ test today after cutting the lawn and cutting the grass but you have convinced me it is time to sit with my tobacco pipe and the silmarillion for some quiet time. Bless you and stay well. edit: meant cutting the lawn and cleaning the house haha!
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  4499. This is my Math course [Webassign] in a nutshell... $109 a semester to unlock the homework!
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  4500. Wow. How high can your voice go?
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  4501. I am now a physics major and studying lots of math lately. I am now in the middle of Calculus 1, it is super hard, but when I look at those beautiful, fancy tripple integrals in Calculus 3, I want to be able to solve them. This helps me to stay motivated.
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  4502. Good luck man! You can do it.
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  4503. As I rely on self study, when ever I feel low during my competitive exam preparation, I watch sir videos, really motivate me to never give up.
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  4504. I'm almost at 60 days at studying math every day, and I can feel myself getting less efficient as the scope of the subjects I study increase. For example, if I'm using spaced repetition then I find that I'm obligated to do so many problems that I can't move forward to study new material
    14
  4505. I feel like the material math majors learn is probably tougher but the sheer amount of shit engineering students have to do weekly is what makes it hard in my opinion
    14
  4506. 1:36 It was Cantor, Dedekind's friend who went insane. Great video though!
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  4507. This is one of the greatest mathematics books ever written. I use it to teach to first-year students of mathematics and physics. It challenges them immensely, but by the end of the semester, the good, hard-working students learn to love it. It teaches you what true mathematics is all about. Easy? No. Beautiful? Yes.
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  4508. I love your english and spanish channels! I hope you can make a linear algebra course because, for me, it's tough and so abstract. Much appreciated!
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  4509. I was searching this all over. Thank you. Short and simple video but the most effective
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  4510. The difference between a winner and a loser is that a winner may fail, but they wont quit. They keep trying and striving and keep getting back up after each fall.
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  4511. for as long as i can remember, i had wanted to be a fashion designer and my family would degrade me for having an unrealistic dream. i ended up studying sciences and straying farther and farther away from what i wanted. this year i am back, i have tears in my eyes i type this. thank you so much for reviving my dream. kind regards to you maths man with beautiful hair.
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  4512. I’ve watched all the videos from the Topology playlist during this summer as I’ll be taking this year a Topology course. Thanks for all the videos, I’ve really enjoyed watching them!!!
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  4513. I can smell the old pages😝 it's beautiful
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  4514. One of the best ways to spread peace.. your friend was really good at the song!
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  4515. I'm 55 and graduated with a 3.43 in BSEE in 1986. Back then, we felt that it mattered tremendously and that resulted in the numeric grade of each test feeling extremely important. But part of that came from me personally, and maybe in part because of a less than healthy mental state. It was like my happiness came from that number. And it's just not healthy for it to matter that much. In fact, I think many employers know from experience to think twice before hiring someone with a near perfect gpa (although you can't say it) - they may not be the best in a team setting. Hopefully we will have a better system some day where the degree earned will represent the completion of a journey that included direction changes, as needed, to find your passions and talents along with learning traditional subject matter and maybe social skills. So if you make it to the end, thats all that would matter - not a grade.
    14
  4516. If you're in a serious context, it can actually be significantly higher. Look at chess players--Anatoly Karpov lost so much weight during his World Championship match with Kasparov that they had to stop the match. A few years ago, I went into a try-out for my school's Putnam team without ever having done Putnam problems. In the 2 hours they had, I only managed to solve 2 of the 6 old Putnam problems they put on the test. Luckily for everybody, I didn't make the team--I was really just in it for the problem solving sessions, not the competitive aspect. When I got home, I felt more exhausted than if I had just gotten back from the gym, and I weighed myself and I had lost something like 2 pounds. I think the combination of stress, adrenaline, and extreme thinking/focus consumes very significant energy.
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  4517. Good content. I'm in the process of applying for graduate schools for Mathematics right now. I agree with the content, there's for sure more to it than applying to the "best" school. I'm 30 years old finally finishing up my math degree and stability/location have become the most important to me, I'm not trying to move to an entire new state and start over again. I have a desire to move back home to be around family after being gone for about a decade now. All the programs I've applied to are fairly small compared to the biggest state schools. I can see why having the options with a large and diverse faculty is nice; however, I've come to like smaller programs since it's what's allowed me to build great relationships with the faculty which has been helpful when looking for recommendations, career advice, or just having good personal conversations. The only real downside I've run into with smaller programs is funding can dry up and when that happens research opportunities, non-required classes, or equipment gets cut. Anyways, I'm really excited to see if I any program will take me so I can start learning more.
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  4518. It's 2018 and you're still helping people ✊good job
    14
  4519. We appreciate your insights. Indeed we continue to learn things from you every time there's a new video to look forward to.
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  4520. This was so helpful. The only video I found explaining this, and it was concise and simple :) thank you so much
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  4521. My two favorite youtubers uploading right within a minute from each other. This vid and Veritasium's 'Rainist place on earth'. What are the odds. 😁😁😁
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  4522. I needed to hear this....i really struggle with procrastination. Instead of thinking, just do it!
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  4523. I like this format of videos. Interesting case is also Terry Davis, although tragic
    14
  4524. You’ve helped me more in a 3min video than a 50min lecture. Tysm
    14
  4525.  @Beyond-Antares  double or triple workload is beyond exaggerated. even though engineering has their own subjects, they also have way less math and physics than math or physics majors. based on what I gathered from the university charts, engineers have at most 10% more workload(and it is mostly civil or environmental, courses like eletric have even less)
    14
  4526. "no, no, the Earth is flat" This is gold
    14
  4527. I am too dumb to understand the title
    14
  4528. My second course in calculus used Advanced Calculus [7/4/1965] R. Creighton Buck. 5 weeks into the course, I had fallen behind on homework and struggled with procrastination. I did all 5 weeks (mostly proofs) one Saturday in about 90 minutes. I have found that I need time to process the information with complex topics. I need an incubation period. So my progress goes in spurts, non-linear progress. Knowing this about my learning process has helped me to avoid being discouraged. During incubation, I work on problems that may be too hard to solve at first.
    14
  4529. My biggest weakness in math is that I become overconfident and try to solve a math problem too fast and end up with the wrong answer. My ego takes control because of my need to be right and to do it fast. Math needs to be done slowly and methodically.
    14
  4530. Thank you, we need videos like this. Very insightful and motivating!
    14
  4531. Back in the day, you couldn't use calculators at all on SAT/ACT/etc. You can today, but only on certain sections, and only with approved calculators. Like slide rules before, calculators are tools that only work if you are able to set up the problems correctly first.
    14
  4532. Short and to the point, great video!
    14
  4533. What a blast from the past! I remember checking this out from my university library when it was on the new books shelves! I just checked on-line, and it's still in the library, and (here's a new feature on the library website) the book is not in quarantine status. I think I'll go over there and check it out, just for old times' sake.
    14
  4534. The best explanation ever on what's gradient vector. Thank you!
    14
  4535. A statement in physics books that always used to set my teeth on edge: "We'll leave it for the reader to supply the details." It felt like being left on a cliff ledge, in the dark, with a storm in the offing. The day that I decided to bite back and work those pesky derivations through was the day I fell in love with physics. Math proofs, though.....hmmmmmm 😉
    14
  4536. Wonderful review. Thank you. Around 1970s some of finest Mathematics books were written that remain in existence even today 59 years later : Munkres Topology, Hoffman Kunzr Linear Algebra, Apostol Calculus n Analysis, Rudin books, Artin Algebra, Herstein, Spivak, Buck, Kaplan, Sneddon, ahlfors, Marsden books, Strang...long list.
    14
  4537. I have nightmares failing a test lol
    14
  4538. One thing I noticed about successful people is they don't give up. They keep going until they've solved the problem or exhausted the problem's search space. It will help if you can cultivate the mindset that giving up is not an option.
    14
  4539. These are such SUPER-AWESOME videos that you produce and post, Math Sorcerer!!! Even though I'm a 53-year-old unemployed, autistic male and no longer in school or in any manner of a classroom situation (and haven't been since 2007), I still enjoy math a whole lot to the extent that I not only have a popular/pure math library in the main room/lobby of my two-room apartment unit, I also have in that same lobby a bookcase for my MATH HISTORY books that I had built and installed for me this week. Now, Math Sorcerer, your anecdotes and tips for learning the language of advanced mathematics are pretty awesome to say the least. So getting notified about your latest videos AND watching them are, for me, very much like what a child experiences while opening up presents on birthdays and during the holiday season!!! #Autism
    14
  4540. I have always taken at least 5 math classes (plus extra classes), those were mandatory. But in my opinion, and especially in math the less is more. Because you can focuse on a subject more precisely, you have more time to understand the intuition behind it, to learn proofs. I guess the undergraduate math degree should have last 4 years, and in my country it is 3 years. In the end, it requires more energy and time to redo things.
    14
  4541. I really love this. For couple days i've been using it to help me stay focused! 50-minute study chunks are amazing, after that i'll take a short break and restart the vid. I hope you make more of these!! Maybe in the next one you could say something quick in the end to let us know the study session is ending
    14
  4542. Do you know the Elite Math Controversy that the elite mathematicans dont want you to know? Riemann Hypothesis has already been proven. P vs NP has already been solved. Hodge Conjectures have been solved a decade ago. But they want you to stay ignorant so that the elites can enslave more grad students. It's time to wake up people.
    14
  4543. 0:57 what the?! They taught you set theory in intermediate algebra? Thats so freaking cool!
    14
  4544. I don't understand why authors in genera don't follow the lead of schaums online series when trying to introduce learners to new subjects. It's obvious that those who write those series are people who know their stuff very well and also know how to impart it. My advice to those who write books on math and sciences: either do it like those books, clarifying every new concept with enough examples so that one can learn the subject without s need for a teacher, or please don't cause frustration among new learners by producing unreasonable books.
    14
  4545. Thanks for the videos. On the 24th, my Calculus 1A class starts. I'm not sure distance learning is for me. But got to roll with the punches.
    14
  4546. textbook solving questions is super hard
    14
  4547. Instead of redoing the same problem that were on the homework, do unassigned problem. Sometime lazy teachers use those for exam questions
    14
  4548. You're a life savor ❤
    14
  4549. Your lectures are so good. I'm in high school and I had no knowledge or clue about what you did in these videos, but after watching on 2 of your lectures I can actually follow along!!!! so strong
    14
  4550. Yeah, we shouldn't stop learning the things that draw our attention and curiosity just because we should learn that things that only pay the bills.
    14
  4551. Thank you so much for explaining !!
    14
  4552. Impeccable logic.
    14
  4553. Very true, a winning mindset is very important, thank you
    14
  4554. I barely have any friends, let alone math friends 😅
    14
  4555. Day 3 of asking for a Math Sorcerer workout video
    14
  4556. This is my absolute favorite course I have taken in college! I’m currently in Abstract Algebra II and I love it as well. I do strongly recommend linear before this because I come across a lot of examples with matrices. We use the 9th edition Gallian book and I think it’s a great book. For some reason this course came very easily to me but I do have several friends who hated the course and struggled through it.
    14
  4557. I found a basic mathematics book to be extremely beneficial when I was tutoring a fifth grader back in 2017. Thank you for enlightening your views about this level of mathematics and its importance.
    14
  4558. Continue this office hours series definitely, sorcerer! Also Konrad Knopp's Theory of Functions is an excellent book!
    14
  4559. That book doesn't belong in the hands of a mathematician! (jk of course rofl) Only another nuclear physicist could ever understand his madness! (*Nuclear plasma physics student working on MHD (magnetohydrodynamics)*)
    14
  4560. The book says there's only 1 left. You need more available
    14
  4561. To be honest, this guy is one of the best naturally gifted maths teachers. Thanks for your help sir
    14
  4562. I took a slightly different path to self-learn mathematics.I would like to present it here (I will skip Pre-Calculus and Calculus 1 and 2).As you how through my post you will probably notice that I included very hard and advanced books, and that's because I prefer to learn one book that is self contained. 1. Linear Algebra (Book:"Advanced Linear Algebra" by Steven Roman). 2. Multivariable Real Functions (Book:"Functions of Several Real Variables" by Martin Moskowitz). 3. Integral Equations (Book:"A First Course in Integral Equations" by Abdul-Majid Wazwaz). 4. Advanced Calculus (Book:"Advanced Calculus" by Callahan). 5. Real Analysis (Book:"Measure,Integration and Real Analysis" by Sheldon Axler). 6. Complex Analysis (Book:"Complex Analysis" by Serge Lang). 7. Abstract Algebra (Book:"Abstract Algebra" by David Dummit). 8. Point Set Topology (Book:"Introduction to Topology" by Bert Mendelson). 9. Fourier Analysis (Book:"Fourier Series" by Georgi Tolstov). 10. Manifolds (Book:"An Introduction to Manifolds" by Loring W. Tu). 11. Differential Geometry (Book:"Differential Geometry" by Loring W. Tu). 12. Probability (Book:"Probability Theory" by Achim Klenke). 13. Set Theory (Book:"Set Theory" by Thomas Jech). 14. Tensors (Book:"Tensors" by J. M. Landsberg). 15. Algebraic Topology (Book:"An Introduction to Algebraic Topology" by Joseph Rotman). 16. Algebraic Geometry (Book:"Principles of Algebraic Geometry" by Griffiths). Now between these you can learn some standalone texts, but this is the main course. I have read about 50% of this course, but the book are really good. You can check them out.
    14
  4563. Oh my god you’re saving my life the night before a test!
    14
  4564. 1:08 One of the few rare books to have an SBN instead of an ISBN. The 9-digit Standard Book Numbering (SBN) was created in 1966 and had 8 digits and a checksum as a 9th digit. It was replaced by the ISBN 10 (9 digits + checksum) in 1970 and ISBN 13 in 2017.
    14
  4565. Didn't know Newton was putting out quality content about math on YouTube.
    14
  4566. In an emergency, like a fire or a war, if you had to lose EVERYTHING except for whatever books you could carry out to your car in one trip, which of your books would you save? (I think about this all the time and it always tortures me, lol. But it's still a good thing to wonder, because it helps us appreciate what we have even more.)
    14
  4567. You have no clue how much respect I've for you sir! ❤ ❤
    14
  4568. An explanation video on why test point method works out would be great. I know why it works but would love to watch your explanation.
    14
  4569. Give a ted talk
    14
  4570. I have realized halfway through this video that I have overcome. Wow. I am already living out my wildest dream😮‍💨
    14
  4571. If you understood everything life would be boring. There’s a beauty in having intellectual curiosity and discovering something new.Then going and absorbing everything on the subject and gaining a sort of mastery in it. That makes you have a beautiful mind.
    14
  4572. Totally agreed! I applied to so many different phd program last year and got into none with funds, but this year I changed 2 of my recommendation letters and got into 6 school ranked between 40-90 on US news on Math graduate programs. All with good funds, But I picked the one with only tuition fellowship but ranked highest out of my choices and it’s a group 1 public, not sure whether or not I made a good choice. Kinda regret it a little, every other school provided tuition + TAship.
    14
  4573. Facts
    13
  4574. I have been asking myself those pessimistic questions "what can I tolerate doing everyday?" Other questions are "if I found out I have terminal disease, dieing within a year, what would I want to be doing?" and "If someone told you, the last moment of your life, you would sitting at your desk at your job, (whatever job that might be), then, you slump over and die, on a random day in the distant future, is that the job you want doing?" Someone on Reddit, told the story of finding his co-worker dead at this work station.
    13
  4575. I couldn't do your job. I'm not a "people person" at all. I do thoroughly value and appreciate the education profession nevertheless and celebrate their contribution to a nation. We see what happens when education is destroyed. Society collapses from within because people don't have critical thinking skills. Thank you for your channel, you are an oasis of calm on YouTube.
    13
  4576. Thank you math sorcerer
    13
  4577. We appreciate your insights. Keep making an impact on the community.
    13
  4578. 32:36 the bravery of this lad
    13
  4579. This was so well explained, thank you so much good sir!
    13
  4580. I'm done with University math when I finish Differential Equations this semester, so I'm sure I'll get use out of this for self study
    13
  4581. That was the book I had in my calculus course, I really enjoyed reading it in those days, I even read the chapters that were not included in the program!
    13
  4582. Merry Christmas to you.🎄
    13
  4583. I'm currently self studying from the book by Bartle and was feeling down because I couldn't understand a theorem about lim sup and lim inf but seeing how this person did on the test makes you realise everyone struggles with real analysis.
    13
  4584. THats exactly hows professors behaves in UCF .
    13
  4585. That would be so cool if you could check some microeconomic analysis/advanced microeconomics book ! Seems like there is some good level math inside :) Have a good day
    13
  4586. Thank you soooo much. My teacher doesn't know how to explain this but now this helped immensely.
    13
  4587. Thank you so much for your time and effort on your videos! I just graduated this semester with my bachelor's of science in Applied Mathematics and I appreciate ALL your content that helped me get through my college journey! :D
    13
  4588. When do you learn that you love teaching for the first time?
    13
  4589. In 1970 i was in the first grade, and me and my Mom both cried every night trying to do my "new math" homework. 😉
    13
  4590. Tnx for this video! P.s. Could you do video on topology...let's say..why to learn topology?
    13
  4591. I really like this video. I am just curious, how many hours averagely did you study every week in grad school?
    13
  4592. At 53, I am just starting my masters in engineering. I really appreciate your videos.😊
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  4593. Dear Professor, I have not watched such a motivating talk in a long time. You did give me a SUPERPOWER, you have nailed it!! I completed my Master's recently and going through job hunt phase. However, I've not even started applying thinking that the job market is bad in the US right now. Also, I was lagging behind in my interview prep and lacked the confidence required to land a job offer. And only getting a job first would pave the way for my Big Dream. Such a great coincidence that I stumbled upon your "It Only Takes Two Weeks" video, then this one, and I'm hooked to your wisdom. I know what to do now and I'm pretty confident that I'm gonna get the job I want. I really needed this today! Thank you! Grateful beyond words!!!
    13
  4594. My friend: "So, what did I miss?" Me: trying to explain what "it's conceptual" means
    13
  4595. I'd definitely be willing to study math in the woods!
    13
  4596. This is probably the best linear algebra course on the web!
    13
  4597. The thing that sucks is that COVID destroys all study spaces.
    13
  4598. Math instructors that regurgitate, almost verbatim-like, on the blackboards what’s already presented in the textbooks are doing the students a grave disservice. The teacher/professor’s principle responsibilities are: to promote enthusiasm, assist with the learning process, provide guidance, stimulate intuition, expose the inner meanings, show the practical applications, teach problem solving skills, and demystify the reasonings and motives behind the mathematical concepts.
    13
  4599. Congratulations on your book
    13
  4600. Just starting my math major, and am loving it. I love watching your videos and can’t wait to see more!
    13
  4601. The best online class is Youtube's free tutorials from Maths teachers from around the world :)
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  4602. I love the scent of books as well.
    13
  4603. Thank you so much for this video! I have this exact section in my engineering differentials class for self study and I was struggling to understand it on my own, yet you made it so simple. I linked your channel to all my friends too :)
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  4604. did calc 2 this semester online, the fast paced exams were painful, but I somehow pulled a 100 on the infinite series exam out my ass so happy
    13
  4605. Thank you for this! I have a final exam this Monday coming up. It's on calc 3, specifically, vector calculus.
    13
  4606. This is a amazing video with a lot of good advices to study. why there is less people watching it bcoz its about mathematics and it is hard. Thanks for giving advice. keep making this kinda video.
    13
  4607. Having a good teacher is highly underrated, you Sir are of great utility to my education.
    13
  4608. We used D&F for the undergraduate algebra sequence at my University and it became one of my favorite textbooks of all time. I definitely agree with the recommendation!
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  4609. AND THEEEEENNN
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  4610. Heres my point of view:There are a lot of jobs that pay much less than doing mathematics, and people who work at them usually hate them.and then There are jobs that pay a lot of money,but people just work for the money.in the case of a maths You are doing something that you love,and You get pay for it but You Will probably never be rich.
    13
  4611. I’m in 16 in high school right now. Textbooks are hella expensive so I probably won’t go exactly by this order but it genuinely sound like a really cool hobby to properly study math.
    13
  4612. Me after years of thinking: "I know which subject I want to study in uni! It was a tough choice, and rejecting physics and computer was kinda sad. I will not have to make this tough of a choice ever again!" Me after choosing Math: Even more confused as to what to choose and what not to
    13
  4613. This is great advice. Literally can change a life.
    13
  4614. i just recently found your videos. You are a great teacher. Thank you
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  4615. Thank you so much this helped me with my homework so much!! 😁
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  4616. Thomas Jefferson had the same view of grades as you. He founded the University of Virginia with a no grades policy. I don’t know if it is still used or not. I think it would enhance learning by taking the pressure off trying to get an A. I think students would learn just for the sake of learning. Let me know if you want me to do a video on how to fail real analysis. It’s real easy to do, but I’m not sure why.
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  4617. It depends how organized your professors and their asisstants are. I got weekly mandatory assignments, and only around 30% of the questions found their way into the exam. The other 70% were just hard, time consuming and irrelevant questions, which were not really helpful for a better understanding of a mathematical topic. Many students just learned from good books or from older exams, as long they had enough time for that.
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  4618. All the learners are different. How amazing is that our brains (left & right) function differently. I'm thankful for my parents put me on music education. Playing piano helped me with the logical thinking and also artistic, creative mind! As a math tutor, I love to encourage students to love math learning by discovering their weakness and strength in learning! Love this topic of your video! 😉
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  4619. "My most advanced math books" video would be also great :)
    13
  4620. I am also a believer in giving up (let things go). Most people do not give up because they haven't cultivated the skill of giving up ego. When you giving up something you also gain the skill of giving up ego. Years ago, I struggled getting a job in my research field. I told my worries to my mentor. He asked me "so are you giving up ? " (sort of indicating, I am gonna be a loser if I give up) I told him that there is nothing wrong with giving up. For instance, if Hitler had given up the war, most people would have survived. After years of unemployment due to my own ego, I came to my senses. I learned my lessons. I looked jobs for my skills instead of jobs in my field. As soon as I let my ego go, my brain started functioning better. However, please understand that giving up is not about "Not trying enough and giving up". You do your best, but if something is not working, you analyze the situation, make a decision best for you or/and others in order to move forward.
    13
  4621. I am getting wrecked right now in engineering school. It's interesting to see my much more intelligent friends going through the same struggles and they're having a difficult time too. I am not trying to worry about my GPA but to shift my focus on doing my best to survive.
    13
  4622. You have to find your "Knack". Maybe a STEM degree is the right path, maybe learning a trade. Experiment. Do. Be open-minded. Write down all of the things you'd like to try and sort them by "Job" and "Hobby". Do several iterations. It's the advice I give to my kids & they are doing well building lives for themselves.
    13
  4623. In quarantine teaching myself. Thanks for making it smoother!
    13
  4624. Can you please make a t shirt or mug that says "...so I recommend you get some books"
    13
  4625. I have used this book in my first year CS back in 1985. Still have it.
    13
  4626. My mind works better in the night than in the morning.
    13
  4627. What you call "for super nerds" is the absolute basic knowledge of any serious CS education, just like Don Knuth's 4 books and the main works of Kernigham&Ritchie.
    13
  4628. Go back. Start with basic algebra and learn all of the rules. Even if you have to do it in short time intervals, if you practice daily, then you will see an improvement. Mathematics isn't like a lot of other courses. To be successful, you need to make sure to remember axioms, postulates, theorems, and formulas. Start with the basics. If you have to, go to the library and get a book on arithmetic, master those skills, and then start on algebra and work your way up. Studying mathematics is analogous to climbing a ladder. You can't ever reach the top unless you start at the bottom.
    13
  4629. I'm now in my 5th year studying math and still it sometimes fells like hitting a screw with hammer because you couldn't find the right screwdriver. It works but you know that there must be a more elegent solution.
    13
  4630. Total cred hours per week is 18 for ug first semester. Then I should study 90 hours a week?😨😵
    13
  4631. Matt Way on a segway here! I am teaching general chem 1 and 2, and I tell my students the SAME THING about studying just a little bit every day, like an hour to an hour and a half or so per day, so it sticks to their long term memory, rather than lasting only short term. Cramming everything leads to my students second guessing and forgetting a lot, and I just tell them to do a little bit every day! Same deal with handling multiple classes, being able to juggle multiple classes is so crucial. Great video :)
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  4632. Fantastic video my friend. Your love and enthusiasm for math and teaching are very apparent and much appreciated. <3
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  4633. I'm high school dropped out. Back to college at 24 now I'm 27 and have 2 semesters left. I made a long way from elementary algebra to Galois theory which I will take next semester along with differential geometry. Work hard and dream big! You can do it!!!
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  4634. As someone who has struggled self learning from books, I think I would be right in saying it is a total no brainer to have worked solutions to all the problems, in fact it is the only way you will learn. Your reasons why they don't have answers are correct, but, alas they are all excuses. First point, learning should be made as easy as possible, banging your head on the wall means there is a failing in understanding, bad thing, you may give up the subject. In easier areas teachers are constantly saying you will not get good grades unless you show full working. That is the beauty of worked solutions it shows you how to lay the problem out. Point two I think is the real reason, teachers want to use the even numbered problems as homework. The solution is easy, the teacher gets their own set of problems to give as home work. Point three it's a lot of work giving worked solutions to the problems. Yes but loads of keener students (for a bit of cash) could do that for you, also if you had a little team on the job then they could cross check the answers. There is another reason. Worked solutions take up a lot of space. In fact you may well need a separate book, something publishers probably don't like, but hell it's worth it!
    13
  4635. Modern day Sir Issac Newton ! Thanks for posting this amazing lecture!! <3
    13
  4636. I have selective memory. In other words, I remember only what is important and quickly forget easily what is trivial. I forget yesterday, last week, and before. My memories of past are only scraps. I had few head injuries in the past. My family say that I am always forgiving, and it is because I forget heated arguments in minutes. 😕
    13
  4637. I've heard that Div, Grad, Curl, and All That by H. M. Schey is a good book on calculus 3 / vector calculus material
    13
  4638. These were the typical maths you're gonna encounter if you enrolled in a Nautical school or merchant marine. It is very useful specially in solving navigational problems. Very lenghty calculations, but nowadays a simple computer can calculate your position in no time in the middle of the sea.
    13
  4639.  @TheMathSorcerer  IT DOES! And you can't hesitate/refuse too, otherwise you'll be deemed "selfish" 😂
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  4640. Would love to see a video on how professors and students stay motivated in mathematics. I trade in the derivatives markets and a winning trade can keep me motivated for months and can be life changing. In mathematics you have to work hard to score an A and then at the end just go back to work. I will admit when you discover a new subject or make a connection between different areas of math it is really something special.
    13
  4641. I was asking this question myself couple minutes ago because I study math 3 hours after school sometimes even more and I still fail my test and I feel so stressed because I really like math but I am not good at it. Thank you for video:)
    13
  4642. Nice, and now your inspiring others with your zeal and have tonnes of friends you can't see.
    13
  4643. This helped with my dughter's homework! Thanks for teaching this!❤
    13
  4644. For us Indians, he is legend
    13
  4645. You were on such a roll! Why did you stop at graduate measure theory? 😢 What about number theory, numerical analysis, graduate topology, graduate analysis, graduate complex analysis, graduate differential equations, graduate multivariate statistics, and so much more! I miss those classes so much. Being out of practice for the last decade truly crushes me a little bit. It's like I've lost my most beloved language. 😭
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  4646. Wise words. Im an electronic engineering student and i often get stuck solving some problems. This was really helpful :)
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  4647. Hi Dylan, my advice would be start slow. Go through the pre Algebra books, or even an arithmetic book! Because most likely you will be put in a remedial class in college. And that’s okay! My daughter had three and a half years of weekly chemo. It was awful and both her I could only be at home quarantining waaay before COVID. I had to drop out of nursing school due to her health, and now that she is in remission, I am going to attempt going in again. Starting over as an adult with a daughter with cancer, I had to take tutoring. But the biggest thing that helped me was start a homeschool math curriculum with an answer key (that is the key!!) and really learning it, then I did what he stated in the video, do all the math that community college requires. You’ll be surprised how much you actually know and how much your classmates ALSO don’t know. So don’t feel bad! Hang in there and I’m glad you’re doing better! Btw my daughter is going to be in the medical field too after having gone through childhood cancer 🎗️🎗️🎗️🎗️
    13
  4648. I have a test tomorrow and I cant thank you enough
    13
  4649. Tom M. Apostol held a chemical engineering degree before going into mathematics. He was a very smart individual.
    13
  4650. God Damn! Today is my 18th birthday and this video is the best gift i could possibly get
    13
  4651. This is actually very good advice. Thank You!
    13
  4652. Indeed a perfect calculus book. Calculus by Spivak is another perfect book.
    13
  4653. I have a roll model he’s my science teacher he has a PhD in theoretical physics and a PhD in chemistry and a masters in biology
    13
  4654. This is a really excellent question and I’m glad someone brought it up. This question reminds me of another similar question I’ve often asked myself and that question is “At what point have I learned enough of a particular topic in order to be considered proficient ?" For example, when do I know I have learned algebra to a sufficient point to move on to a higher level subject? This has been a difficult thing to judge in my self study experience.
    13
  4655. Thanks. I have a test today, and this really helped me.
    13
  4656. Random question, but do you think there's ever a connection between mathematicians' personalities or life experiences and their favorite area of mathematics? (Abstract Algebra, Statistics, etc.) Do you think that would be a good topic for another video?
    13
  4657. My favorite quote right here; you don't have to do it right. Just do something.
    13
  4658. I've become pretty impressed with Schaum's lately. I've been putting together a basic introduction to statistics and feel like I can ignore my basic statistics textbooks to write it. They cover a lot of topics efficiently and have so many solved problems.
    13
  4659. 95% of people I know could benefit from this book, probably including me.
    13
  4660. I thought my book buying habit was bad before I found this channel.
    13
  4661. For wizards, eh? Have you read my book?
    13
  4662. IMO, "discrete math" is one of those subjects that, unfortunately, can't be learned from books in quite the same way as more "theoretical" branches like algebra, analysis, or topology. Probably the best advice for the youngster who dreams of achieving greatness as a combinatorist is to work nonstop on contest math problems all throughout high school, while your teachers babble on about history, literature, physics, calculus, or why they're concerned that you're a lazy, isolated underachiever who's in danger of repeating their BS class, yet again.
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  4663. people in NASA only use very old programming languages make Softwares for spacecraft and launch vehicles because old languages have been well tested and are very stable and have no glitches or anything, so even if today you'd still be able to get a job at an aerospace company or somewhere. But people don't really stop learning after they get their degree they want. Sure math is eternal but our brains aren't, if you stop practicing math for a long time you won't be as good as you were. if you stopped doing math for 20 years I'm sure that we won't be able to solve math problems as fast as we did 20 years ago the same goes for anything. you can't just learn math, stop for 20 years and go back into math research or whatever you still have to work a lot to keep up with the current mathematics, sure you could get a job in finance or something. I'm just saying that you can't really compare both of these things, both are amazing. I like math more than i like CS, but you can't compare and tell which is the better one that's like saying a PDE is cooler than an ODE, it doesn't make sense.
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  4664. Besides being persistent with math, you should also take a lot of Computer Science classes. CompSci is in high demand. With Math & Data Science/Big Data/CompSci you could be making 6 figures after college and it may not take as long as a PhD in Philosophy. As for your bad experience with the professor, it happens to a lot of us. Yes, life is unfair but you need to learn from it and move on.
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  4665. I love you so much big bro, you are casting blessings upon so many, I feel your love and your want to set people free. :) Can’t wait to get good mood spells put upon me regularly, how gracious of you to broadcast your kindness 🙇🏻‍♂️
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  4666. Interesting contents. Indeterminate forms was treated in elaborate way. That page showed breadth of coverage. These calculus books didn't shy away from getting hands dirty in problem solving. An engineer from MIT has to be tremendous problem solver, has to be strong in calculus. Modern books cover up the tools under 'analysis' topics. Students think n analyze instead of solving problems. Enjoy digging n mining in this book...
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  4667. I want to be a pure mathematician and a scientist! Keep making videos math sorcerer! 🔥
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  4668. This has a very ASMR quality to it 😄
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  4669. This book has something unique. It interpretes the complex function as vector fields and enables one to understand hydro and aerodynamics from the perspective of complex variables. Even there is something called "Polya vector field" in his honour. Not surprising though, he was a "Martian" after all.
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  4670. I just bought this book a week ago, started reading a bit and is very easy / beginner friendly. Glad you went over it, my goal for this year is to really understand C (pointers, structures, memory, etc) so that I can apply it to solve problems. Another book I recommend for beginners/novice is K.N. King C Programming 2nd Edition
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  4671. когда настолько отчаялась, что смотришь видео на инглиш, чтобы понять наконец это
    13
  4672. The professor looks like the guy from The Math Sorcerer.
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  4673. Hey respected sir! I hope you will be fine! I'm very weak at Math, but I have a huge respect for it, nobody has more respect for Math than me to be honest. I usually say to my friends that what we've today in our surroundings is all because of Math and its subsidiary subject Physics. Each and every technological as well as most of the time medical thing is move by Math and Physics. From architecting to aircraft take off and landing, from rocket and space sciences to mobile phone and computer, from ECG (Electro Cardio Gram) and blood pressure check up and injecting liquids via syringes to genetic engineering, from shop to home dealings we walk and talk in Maths. By the way, I'm a Muslim and I believe in the One And Only Greatest Allah Who Has Built Up The Sky Since The Time Unknown Without Any Pillar, I can assume that Allah through his mightiest mathematical powers is moving this whole universe or multiverse or I would say the whole system. I've a huge respect for all the mathematicians and physicists to be honest. Sometime mathematicians and physicists turn out atheists or agnostic, but I can say if they use their rational faculty on the existence of Allah without bigotry and stubbornness to the ideas they holds, they can find Allah. Anyway, I usually advise my little brother to understand and learn Math, it's a very great subject, it has numerous applications, if a person understand it, he/she can understand everything easily. Love you from Pakistan❤ Mathematicians and physicists are the most intellectual people on planet Earth! I'm very much impressed of truly! You earned my subscription!
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  4674. The time limit rule really helps in minimizing the chances of math burnout, but I don't religiously follow my time limit because of the great feeling of learning math.
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  4675. Heck yes! I experienced this problem a lot. Was doing calculus homework, got stuck, switched to linear algebra, wasnt able to do anything with that either, then I was like: Screw it! And in about 30 minutes, I finally figured out the linear algebra problem, then took a short break, realised what I should have done on the calculus homework, went back to it with a cup of tea, and I actually got it right.
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  4676. one you may not have in america but in a lot of other countries, the professors alternate between the native language and English quite a lot which leads to confusing sentences
    13
  4677. Something else to not say (X+2)^2=x^2+4
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  4678. I haven't get to calculus yet, I'm in pre calc right now, from what I've heard I'm very excited about Calculus because I loved everything related to functions and trigonometry in pre calc the most. As I understand there will be more of it in calculus? For me personally the most annoying topic was modular arithmetics. I had only the basics of it, but already didn't liked it. Some people mentioned linear algebra, I did finished half a linalg book because I needed it ASAP for programming. For me it was... Strange.. Hard to describe it, not that it was too hard, but somewhat unintuitive.
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  4679. "I can do this, I can do better, I'm not retarded" I loled. On a more serious note, I had to take a year and half off from school because of a familial crisis, and when I returned to school to take calculus 1 I failed hard, mainly because I forgot a lot of the algebra, and dropped the class. I felt despondent, dejection, despair and dare I say a little retarded as well. But I, like you, realized I am NOT retarded. I spent the remaining semester studying and reviewing algebra and trigonometry, and come next semester I aced calculus 1 with an A and I'm currently sitting on an A in my calculus 2 class. Also helps that I have a professor that teaches well. I'll most likely fail some more along the way, but having experienced this has shown me that I can persevere through failure, and that's a more important lesson to learn than always succeeding.
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  4680. The movie "The Man Who Knew Infinity" was great. Very moving story and really gives you an appreciation for just what a genius Ramanujan really was. I'd say calling him a "genius" is under-stating things, TBH. Anyway, if you like math and mathematicians, I'd put "The Man Who Knew Infinity" right up there with "A Beautiful Mind" as a must-watch movie.
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  4681. I'm sold, Math Sorcerer!!! I'm getting THAT book for my math library!!! Thanks lots for producing and posting these videos!!!
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  4682. That is some quality explanation right there, better than my useless instructor if I'm being honest, well done!
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  4683. If I could merge the good parts of all the books into one lol that would be awesome. Thanks for this book showcase!!!!🌸
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  4684. That was really helpful. Because in order to understand Mathematics perhaps some of its complicated ideas one must has a fully developed prefrontal cortex because that is the region which is responsible for making those abstract ideas logical meaningful to your brain by creating a pattern of logic so as to use it in the explaining process to your brain. So kids and even also other may not understand some mathematics concepts due to age.
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  4685. Wow I loved this video so much, I'll probably end up watching it multiple times for fun!! Great review for my calc 1 final in two days, you're a great professor.
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  4686. Apostol’s book was also very popular in calculus courses for engineering in Latin American universities. It was very well known to be very complete and complex.
    13
  4687. The more teachers, the more for brain-picking.
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  4688. Congrats sir, you totally deserved it!
    13
  4689. This is so true. It takes a lot of practice and patience to understand how to follow insight.
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  4690. Loved the video! Can we get a day in the life of the math sorcerer?
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  4691. Wow, you're the best math professor I've ever seen! Your enthusiasm, depth of understanding and engagement with the class is fantastic! It must not feel intimidating at all for students to ask you questions because you're such a genuine dude! Please don't ever change!!
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  4692. MIR is also a legend in physics, for theoretical physics, Lev Landau's books are the best! I've already read mechanics and field theory, they are excellent!
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  4693. "Professor, I didn't understand" "Which one?" "Yes"
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  4694. This makes so much more sense now. Thank you
    13
  4695. What is the meaning of this life if is not learning?
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  4696. "Self-education is, I firmly believe, the only kind of education there is." - I. Asimov Thanks for sharing those interesting details about some of your books. I also found that quote about books being the weapon of the war of ideas very striking.
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  4697. You were able to explain that in 3 minutes better than my tenured professor at engineering school. My prof just spouted the terms on and off without explaining them graphically at all.
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  4698. The German word for passion is "Leidenschaft" "Leid" is pain and "schaft" is work. So it kinda means the thing you're willing to suffer for. Ps - pretty sure this is what passion used to mean in English too
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  4699. People on YouTube flexing their wardrobes and houses meanwhile we all getting excited about maths books 😂
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  4700. I'm an electrical engineering undergraduate and I'm terrible at math. With your book recommendations I see the path forward and I'm putting in the work.
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  4701. I got in this field because of mom. She helped me from elementary school to do basic math like 2+2 or 4*7 . Then I started to be better and begin to like it because I understood it. Please when you become a parent, help your kids understand what they are learning in general and from an early age. Now I am learning informatics. :)
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  4702. I shall pass the linear algebra course with brilliant grades💪
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  4703. I'd be interested to know more about how you personally use it. What questions have you used it to explore recently? What kinds of questions or explorations do you think it is best at compared to other options? When and how do you recommend that your students use the calculator? What do you wish it could do that it can't? More generally, how can technology improve the way mathematics is taught and learned? TI dominated the educational calculator market by lobbying for including it in curricula, textbooks, and standardized tests. Newer calculators, phone apps, and web apps are orders of magnitude faster and higher resolution, but we're still asking high school students to pay $100 for an 18-year-old model. If we could ease the platform investment for teachers, how could this be improved? I don't mean to knock TI (though full disclosure I'm an HP fan ;) ). The Nspire CX II CAS is amazing and not much more expensive. Just wondering what a teacher wishlist would be given the current state of calculators in schools.
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  4704. bro got muscles 😁
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  4705. My university has a BS in Mathematics track in computer science. I met a graduate in that who instantly got a six-figure salary from Google and he said having the background knowledge of algorithms and mathematics really helped him nail that position.
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  4706. Wtf teacher like you should have a place to live comfortably teaching all of us it's not fair that people like you live in such conditions this is making me a little sad hope your condition gets better
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  4707. "It is better to take many small steps in the right direction than to make a great leap forward only to stumble backward." - Proverb
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  4708. Man, that proof one really stings. My Calc 3 class has spent these past two weeks painstakingly showing how the dot and cross product emerged from imaginary numbers. I really do love leaving each class more confused than I was when I went in! Your Calc 3 videos have been saving my bacon, I actually understand after watching your videos and can do the homework!!!
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  4709. I could be mistaken, but from what I remember from my time in the Army, the date at the bottom of the application form is the date that version of the form was certified for use, not necessarily when the form was printed. But, I believe those kinds of forms are updated pretty regularly so the year of this book's binding should be pretty close to the year found on that form, if not that year itself. For instance, DA Form 705 (physical fitness score card) was most recently updated on 1 August 2021, so forms of that type used even this year will still have that date at the bottom of the form. This way, you can know you're using the most current version of whatever form you're trying to fill out so it isn't rejected by whomever you need to send it to. Love your vids!
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  4710. I recently began to study math again after a long break. I have been taking notes in a notebook as I read, which is something that I never did before. I don't know why I began to do this, but it does seem to be working. I go to a library or a study room without my phone or computer -- just a notebook, a pencil, and a few math books. I stay there for however much time I have that day, and I learn math. One of the books that I'm learning from now is one I learned about from your channel. It's "All the Math You Missed" by Thomas Garrity. I like it. I'm getting a lot of knowledge into my brain by reading a chapter in this book along with a textbook on the subject of the chapter to work through or review from. I used to be afraid of math that was beyond my current level of knowledge. Now I think I was overestimating how "big" math is. No one has time or memory capacity to learn all of math, but every area of math is learnable. Math is wide, but it isn't really very tall. All those abstract mathematical structures built out of other structures are mysterious and weird only until you just take some time to patiently work through a few books on a subject. Then those concepts become meaningful, familiar, and useful.
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  4711. This is done by high school students for jee in India along with 10s of other books
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  4712. Learning the history of Physics, Math, etc. is a huge help: the amount of blood, sweat, tears & time that went into developing these fields is enormous. We have textbooks that distill hundreds, if not thousands, of years of human effort into a few hundred pages, and cover them in courses which last for a few months. That's a lot to digest during a brief amount of time. "Mathematics is difficult, even for mathematicians." ~ Reinhold Böhme, quoted in Appendix A of "Vector Calculus" (2nd Edition) by Marsden & Tromba.
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  4713. Thank you my friend. Truer words have never been spoken. To the power of now!
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  4714. bob ross shirt gooood
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  4715. This question is in my final, thanks a bunch!
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  4716. Within the practical timeline you have available, do all you are able to do on your own before you commit to the time and expense of college. For example: language learning. If you want a BA degree that requires a foreign language, you can learn a lot of the language outside of college courses. Either apply high school credits to the requirement, or do independent study with language learning materials, then challenge the courses via examinations. Other topics may have advanced placement or college credit opportunities. Not graduating "on-time" from high school, and taking another year of high school for courses that can satisfy college requirements may be another "get-it-done" option. It may be less expensive, too. Remember Star Wars Yoda in the Empire Strikes Back telling Luke Skywalker during training on Dagobah "Do or do not. There is no try."
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  4717. How thicc is the book?
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  4718. Exactly what I needed. Thank you! :)
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  4719. The sorcerer's staff stands tall in the background.
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  4720. I once excelled in maths in high school, because it was one of the easiest subjects and I did higher level maths, but not for exams when my concentration rate dwindled suddenly. Before that, I was always a fast learner. Then, I started to forget things. After school, I chose art over engineering & architecture, much to my parents' disappointment. I was already a self-taught artist before I entered college. After leaving college, I started dabbling in softwares for digital art & animation. Next 3D realism including physics simulations requiring maths. That has rekindled my interest in maths. So, I am back to learning maths as only a hobby. I am studying that at home and also at work where I do mostly shop minding in the quiet times of trade. I steal free moments for reading and studying. I have also taken up mechanical engineering, programming, electronics, etc. For now, I am treating all of them as hobbies first, before I ever decide to make careers out of them. I am only between a beginner and intermediate. I am learning lots from Youtube, Udemy, etc. I love learning and mental challenges. Sciences are better than crosswords and Candy Crush.
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  4721. I'm planning to finish a BS on accounting after dropping out almost 9 years ago due to sheer laziness. Eager to learn math until Calc 3 for fun, struggling to understand even basic algebra but I know I can probably get a decent grip with enough practice Hopefully I can get there.
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  4722. blink please
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  4723. In my opinion, you have to be obsessed. Personally my obsession with is what makes me critically curious about how things work in mathematics. It drives me to learn ever more and more, which in turn gives me joy.
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  4724. So, may be we have to talk about bad students. Students that think that you are there for introduce them the knowledge into their brains without their effort…
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  4725. I'm an Electrical engineer, developing computational electromagnetics software (modeling &sim).. I want to go to grad school to study&research computational mathematics. would I suffer as my major is not in maths?!
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  4726. As much as I love math; in this era, CompSci is a much more valuable degree. Math is vital tho, it's the fundamentals and pathway to everything STEM related and then some.
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  4727. Just missed this one on an exam. Dam you TRIG!
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  4728. How do you not have a million subscribers? These videos are awesome! You go into such detail and you have such a wide range of content... it is a pity that relatively few people enjoy math enough to watch these videos for the pure joy of it. Math is one of the only things out there that really matters. You do it justice. Thank you! Keep making awesome videos and educating this world!
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  4729. It can be helpful to know krasnov-makarenko-kiselev_problems_and_exercises_in_the_calculus of variation The text was specially designed for students using "Differential Equations and the Calculus of Variations" by L. E. Elsgolts (Mir
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  4730. it was a joke. math people don't really return books. we hoard them into our shelves lol
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  4731. I got into math before I started school. There was a poster on my wall, and it was my only decoration as a kid for a few years. There were a bunch of things on it that I wanted to understand. Remember this was before kindergarten even. I was like woah! What's the ÷ mean? And the × and and! ^ or a % or the little tiny number on a bigger number? Why does it say 5!=120? What's f(x) supposed to mean? I started kindergarten at 4 years old and I already really wanted to understand notation. Turned out I had a real talent for it, and I also had a not very mathematically intelligent family, so I needed school to teach me stuff before I learned about the internet. In kindergarten or first grade or something, my math teacher was teaching us how to subtract, and she accidently made it something with negative numbers a good bit before we were supposed to know about those. From that point on I had this sort of feeling of superiority for knowing stuff my peers didn't, uh, then I realized after I learned it that kids found it kinda hard, and that reinforced that. My questions got answered until teachers stopped letting me talk, then I felt like being smart wasn't all that great. That was a really humbling experience I think, I stopped feeling any kind of superiority over others, I also decided to tell my mom that I wanted to take my time, no accelerated learning for me. I just want my friends =) and she was okay with that. Then I had a teacher that didn't get mad at me for participating too much once I was in 6th grade, and then I became a try hard again. Then in 7th grade, I became a perfect student for the first time, and I've been there since. Math was my favorite subject in highschool, and it was the subject I was best at. I never liked the sort of novel ways people looked at math. There was a grid and we drew stuff on it based on products or something, boring. But really getting a hang on functions was really fun And the year I had a class that gave me online homework and all the homework for the quarter the first day was great. I was several months ahead the whole year, and so I could spend class learning the finer details without taking notes, which felt AMAZING. Then I was helping a student in Trig with their final during my study hall before I ever took a second of Trig. Then I got into Calculus 1 and 2 the next year, I was able to test into it with the highest score anyone in my school has ever gotten. My pride was really fed with that, but then I didn't have a math teacher for a year. My pride only grew though, because I did a really good job in a class for college students without any help outside of YouTube. Well I finished Calc 2 with a 100% and that was with Coronavirus popping up at the end of the course. I'll tell you, mathing was the only thing that made me smile during this lockdown. I call fulfillment pride a lot, it is really just fulfillment though.
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  4732. I've always stopped at Green's theorem when teaching Calc 3, never getting into surface integrals. Maybe because I'm teaching at a community college, but the pacing is hard to get any more material in that class beyond that. The idea of going through all of vector calculus in that class boggles my mind.
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  4733. Love your videos. They have helped me so much through this online learning. Thank you.
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  4734. Easy stuff! I did this in kindergarten.
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  4735. Man, what an excellent teacher you are! So involved, and it is outstanding how the class seems ~alive~. We need more like you.
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  4736. Damn, this gave me a great idea, I was having trouble reading a collection of textbooks of math because it took me hours for going thorugh a page or two, there is a lot of exercises, which is great, but I can't stay too long in a content like functions, then I saw this book that covers so many topics, so I resolved in pick a unique volume textbook to go through the contents faster while I read this collection on my pace, slowly, without having to worry too much with my productivity
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  4737. I might try teaching. I have a math BA/minor in physics but I've only worked in retail and sales. Never used my degree. I think it'd be cool to teach calculus or intro physics.
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  4738. Thank you for your positivity! A lot of people struggle to find what they love or what they are good at. I agree that it is really important to stay positive and find the things we love about ourselves.
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  4739. I feel like thanks to the bad teachers in grade school who focused more on memorizing, they set us up for failure by not teaching how it is applied and to understand mathematics. Like Richard feynman said if you cant explain it simply to someone then you don't understand it well enough.
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  4740. Nobody: Math Sorcerer: ................................................how?
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  4741. Out of curiosity, did you struggle with related rates and optimization since those questions can sometimes get wordy? I just finished Calculus 1 so that's fresh on my mind lol (I hated them so much).
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  4742. This book absolutely changed my view on math. I was never a fan of math and always hated it until I decided to take an officer qualifying test in the Air Force and failed. I looked around for study book reviews on YouTube and came across this channel. I gave this book a try and let me tell you, it was a great investment for the price. I’ve learned and understood more from this book than any class I have ever taken in high school and college. I never thought these words would come out of my mouth but I actually enjoy doing math daily from this book. I also have the geometry and math book in this series. I am more confident in my math knowledge than ever before. Thanks for reviewing this book sir 💯. I will be retaking the test in a few months.
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  4743. Just picked up thomas calculas for $3 today.. From tomorrow, I am gonna start my journey to learn maths!!!
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  4744. 4:59 I get a nerdy math gf if I study math? My motivation to study hard has been fully restored!
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  4745. I have ADHD and I never took anything for it. I always found it much more advantageous to record the lecture (if allowed) and just dive in. Then I transcribed the notes later but normally my lectures were accompanied with slides on the topics that would be posted online. Before all of that, I tried to take pristine notes and I’d just fill the page but after I’d have no clue what was said in class. Lol
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  4746. Math can be more fun when you look up applications of all the stuff being studied. Like the quadratic formula can be used for falling objects and column and null spaces for a launching rocket. I think we just need more books focused on math applications in either science or the liberal arts to make it reachable for a majority of people. Thanks for another awesome video. Keep it up!
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  4747. This is the best video ever made lol
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  4748. The Epp book was one of the books we used when I took Discrete along with Ken Rosen book and it's easy to read like The Sorcerer said with many proofs examples and problems. Good luck Bakri.
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  4749. Nah man. With a few genius exceptions, nobody learns math fast. Some people just get started earlier, and of those people some of them are obsessive so they keep pushing themselves. Since math builds upon itself, if your 8th grade classmate in had already invested 100 more hours than you had at math practice, he would of course learn the new material faster. Math ability = time + effort That said, personality matters a lot. Unless you have a brain that gets a rush from that "Aha!" moment, you probably won't be able to stay motivated enough to get good at math. I think this the only thing that really matters for most people. Nobody can do math without hard work, but some people feel much more reward from it than others. That can come from cultural conditioning as well. People who learn to see math as "fun" early on are the ones who blaze ahead of everyone else in school, because they're the ones who lean into the effort instead of flinching from it.
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  4750. Abstract Mathematics 🤩
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  4751. In my case, I think the fear of getting bad grades motivated me to learn. But oftentimes there was not enough time to master tangential areas during a semester, so you have to limit this learning to the scope of your course to ensure good grades.
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  4752. just remember it buddy
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  4753. I scored ~99.7 percentile in IIT-JEE(advanced), this being my best achievement till now which got me admitted in IIT. Although this might seem not that impressive, it's kinda big deal in India
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  4754. When I started my master's study in Australia as a Chinese, I was shocked by the local textbooks. Although these textbooks are of quality and well-printed, they are too expensive for a student. Then I found the textbooks only provide time-limited answers for the buyers. (Some even need to pay extra for the answers) That meant when buyers wanted to review the textbooks, they are hardly useable. (I don't know why is it. Perhaps the editors in AU/US/UK need more money to pay their bills than they in PRC/ROC/HK. Or maybe the monopoly from the publisher.) These things could barely happen in Chinese-speaking countries/areas. Our textbooks (for kids and adults) are affordable for every student (even the poor) and always cheaper than ordinary books. Many of them will leave blank for students to write down their answers in textbooks. Moreover, every textbook will provide detailed answers.
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  4755. I'm a simple man. I see a video about an old and strange math book. I enter, o watch, i like. Love these reviews. Greets from Brasil
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  4756. First comment! Don't stop posting, sir. Your videos are very helpful ✨
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  4757. ! cannot be the special character. Why do I feel personally attacked?
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  4758. Yes yes yes more PDE, your timing is perfect i just finished my PDE Course in college last week so more PDE videos would be perfect as a practice
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  4759. Love your videos, as a CS major who has taken linear, discrete, calc1-3, I am taking my first upper level course number theory this semester and next class is on divisibility, so these are very helpful!
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  4760. I've been wanting a "timeline" of Math recently, thanks for the video!
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  4761. Make a video on math required in data analytics
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  4762. I learned Calculus from this book via my very awesome professor who recently passed. He had multiple doctorates, yet insisted that we just call him by his first name, John. John raved about his book, but complained that the editors did nothing in new editions except scramble up all the questions, so student would have to buy new books. Thanks for reminding me about this, think I’m gonna go flip through Thomas Calculus right now.
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  4763. Hahahahaah “it’s not really about the tea” but why did you say the tea was so bad? Hahahaha I am joking
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  4764.  @Hi_Brien  haha I never do windows but I do write mathematical stuff on the shower door (made of glass)
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  4765. Doing homework is about learning the material e.g. how to perform certain computations for particular situations, gaining experience practicing certain techniques. Studying is about solidifying one's knowledge, and presumably understanding, of the material without needing to consult either notes or text. For example, homework problems on using the quadratic formula task the learner on how to apply the formula. A test on the quadratic formula would require one knowing how & when to apply the formula both in familiar situations experienced through homework but a step beyond that examines their understanding of the formula. Again, borrowing said example, when doing homework, one has the quadratic formula at hand and worked out examples and other resources allowing one to solve a given set of homework problems. Studying is a practice at making certain that one knows and understands without access to such resources which might including memorizing formulae, practice rapid computation, and among other measures to demonstrate skills mastery of the material.
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  4766. This is my current frustration. God I hate this.
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  4767. Thank you so much! This is very helpful. I've been watching your videos for years and I have been collecting a small textbook collection throughout the years even though it's hard to understand the topic. Math wasn't my stringest subject but it's the subject I put the most effort in when I was young, I had a teacher who truly love math and treated everyone with cheerfulness and respect which made math less intimidating. I always watch your videos with joy, it literally motivated to pursue my joy for learning even though it is hard to take risks when you don't excel at something. Keep up the good work :D math wizard. Greetings from Romania
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  4768. I usually associate elitist/elitism with a social hierarchy. However, there are strata of academic orders. My thoughts are that people in general brandish these terms to absolve themselves of not understanding a subject. Or, in an alternate perspective, use it to place the subject upon a pedestal to enshrine as an unobtainable quest for many people. Whether it's reverence or fear enjoy the limelight of the respect afforded you for your efforts. Mathematicians should gleefully embrace similar to the notion that diamonds " are rare." That is the believe that increases their value!
    13
  4769. I watched the lectures many years ago. Even though they are from the mid 80s, they are still totally relevant and mind blowing. Although I never needed SICP for a course, I bought it after watching the lectures because I was so impressed with the content. Great choice! (mine is not signed). Did I say that the lectures are awesome? 🙂
    13
  4770. I can't tell you how many times I've just paced around my room, trying to explain some mathematical concept to myself in a way that would make sense to anybody. I believe there to be a lot of truth in Einstein's quote that "if you can't explain it simply, you don't understand it well enough." I'm fresh out of high school, and I've been attempting to teach myself Complex Analysis in spite of the fact that I probably don't have near enough prerequisite knowledge to fully grasp it all, as the residues of complex functions still don't entirely make sense, but contour integration is making more sense the more I work on it.
    13
  4771. We had a conversation with my girlfriend a couple of weeks ago. We are both from Hungary and we see that people are reading terrible, good for nothing books (they might even be harmful). The government is not really supporting education and writing/printing books (in Hungarian) since they need a bunch of sheeple they can easily control. This is how a dictatorship is built. Anyway, we also discussed that 30-50 years ago, there were many-many great books. The communists were considered evil here, but they wanted to educate people. Their motto, compared to the current government's, was that they needed educated people on their side (politically brainwashed) whereas now they need people with no ideologies and no brains at all. I love old books. At the university, professors recommended 30-50 years old exercise books in Physics and Maths. 😍
    13
  4772. I feel like the individual problems aren't that bad, but the fact that it's 7 pages long and 21 questions makes it absolutely brutal. The questions do require a really decent amount of problem solving though, as you mentioned, the kind of thing you'd be more likely to see in Advanced Calculus than Calc 2. I still don't know how I feel about questions designed to test more knowledge vs more problem solving ability. I would like to say the second type is a better question, but on a test in a class that is mostly not mathematicians, maybe we should be light on the problem solving.
    13
  4773. Funny, and also familiar! I had a teacher like this (I mean the need to play/feed his dog ...), though in elementary school and something like 30 years ago ... so it's not a fair comparison here :)
    13
  4774. This intrigued me very much as someone who studies computer science since binary is just 1s and 0s and relies heavily on math. Thanks for the video :D!!
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  4775. That is awsome. His own hand writing is icing on the cake. I’m an hvac tech and aspiring electrical engineering student. I’m going to see if I can get this book or something like it.
    13
  4776. These brain hacks are indeed useful. We will continue supporting your channel no matter what happens.
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  4777. very clear and helpful, thank you!
    13
  4778. Engineering is difficult, because there is the expectation students will just pick-up a lot of the math and physics along the way, and be able to apply it, without having taken dedicated classes that cover the requisite material in any level of detail. The educational process is trial by fire.
    13
  4779. This is something I need Thank you a lot
    13
  4780. To do well in pure math one should be blissful and should be free from all kinds of pressures. Most of the students when they learn math from books like loney, Bernard and child are under the illusion that pure math is is similar to the math found in books like loney trigonometry or hall and knight. When they read books like rudin they feel it is totally different from what they thought. things we learn from books like loney, Bernard and child, hall and knight etc are very important if we want to excell in pure math. The skills we acquire from these books help us in doing pure math. We need those skills if we want to be comfortable with inequalities in pdes, multivariable calculus. These books are very important even though they don't follow a rigorous approach. We will not find any epsions and deltas in books like loney. But the skills we learn from these books are needed to grow as a pure mathematician.
    13
  4781. Oh mighty sorcerer, thanks for being a great teacher. I really wish i had a teacher with as much charisma as you.
    13
  4782. "Wake Up and Smell the Functions"? One time I studied trigonometry so hard that I not only started dreaming about it, but when I looked at my digital clock i saw a trigonometry expression instead of the actual time. I remember it being a tangent.
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  4783. I might be in the minority here. Books are the only way I understand math. Lectures don't work for me at all. I feel like I can save countless hours by not attending class and just reading the assigned textbook.
    13
  4784. Just for the heck of it, I checked ABE this morning. They have a few copies ranging from about $100 to over $3,000. 😁
    13
  4785. Considering how counterintuitive topology is, you making it seem so friendly is quite the skill that few people have. God bless you!!
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  4786. At my University they didn't give pluses or minuses on official grades. You got a straight A, B, C, etc. I remember after one math class checking my grade by student number on the office door. It was 90% and above A, 80 to 89% B. Top student had a 98% with a grade of A. Next student had a 90% for an " A - -" and I had a 89.9% for a "B+ +". The next "B" was a "B-" with a 84%. So, the recorded grades went like this. Top guy A. A-- guy A. Me, the B++ guy, a B. And the B-- guy a B. I went to the professor's office and asked why I got a B when I was 0.1% from the A-- guy and he gets an A and me a B when the next B is 5.9 points below me. His answer was "an 89.9 is not a 90 and I had to draw the line somewhere". The guy was like totally inflexible. I thought that was totally unfair. Nothing I could do about it though. I just never took any other classes from him.
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  4787. That's a very good content here! Thanx
    13
  4788. Thank you very much. I was looking for the answer so long. You are the best :)
    13
  4789. C is still a great language.
    13
  4790. bruh this class is lit , the method he uses in learning and the energy ....
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  4791. Math Sorcerer, this video is a wonderful thing that happened to me today
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  4792. 11 out of 10 rating bruh really nice explained it love u bruh
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  4793. Hi, math sorcerer. I have a two questions. Do you read math books from beginning to end? and Do you do all the exercises? PD: I'm very jealous of all those math books in the back! Cheers!
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  4794. I bought this book because of you! One of my favorites!
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  4795. Sir, I got shocked when you mentioned that English is your second language Then I recall that English is my 3rd language 😂😭
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  4796. 0:14 "Super super famous mathmetician" Euler: "Are you challenging me?"
    13
  4797. You can also transform it into an integral with f(x) = x from 0 to 1, and then solve it.
    13
  4798. Thick? incoming lewd comments
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  4799. Your playlist of complex Analysis helped me a lot!
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  4800. The best time to buy stocks is yesterday, the second best time is today
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  4801. Good recommendation, another excellent book would be, Abstract algebra by John A. Beachy and William D. Blair. I think it is very complete and goes from easy to difficult, perfect for self study.
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  4802. The Sorcerer be dropping the best thumbnails on the platform! A true Sorcerer🧙‍♂️✨
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  4803. Im studying math all day everyday for my undergrad (im in 2nd year) and I still feel like I’m not doing enough. Feeling really overwhelmed! Great video though
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  4804. Physics graduate here. TI made some of the best calculators! Started with a ti-36 solar that never broke, never needed batteries. Used that all through grade school. I think in 10th grade I upgraded to a TI-83 plus and that was my favorite! Great feel, robust, great battery life. Loved being able to graph and make tables. It also had some nifty features if you knew how to use it. I still have it and use it. In college I kept the 83+ but also got a TI-89 Ti and that thing was a beast. Did so much, very helpful for math and physic classes. Still, features aside, feel wise the 83+ was my favorite! It was so logical and smooth and the buttons were the perfect shape, size, and feel. I used to work as a college physics teacher and sadly we would find calculators and hold on to them for lost and found if it didn't have any name, but sometimes the owner was never found. I've acquired a similar TI84 plus silver and it's close to the 83+, but just feels a little less sturdy all around. They switched to a different plastic on the case / buttons and it just feels a little more hollow. Also acquired an older TI89 and that's cool too, even more study feeling, but the buttons are a little smaller and square shaped, doesn't feel as good. I have great memories using these calculators and I bet newer calculators won't be the same. I'm so glad I got to use them and enjoy them.
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  4805. A study with me where you actually get up in the middle of the recording and it's not a planned break - original! Also I just started my journey to teach myself math - A First Course in Calculus by Serge Lang just arrived today. Thank you for your great book reccs :]
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  4806. I used Proofs and Fundamentals: A first course in abstract mathematics by Ethan Bloch in my intro to proofs course. I think it's a great introductory book.
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  4807. He is kinda jacked
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  4808. A good readable book for modern undergraduates.Regards Dr Sabapathy.
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  4809. Even when I was attending classes in person, I would often buy different used textbooks for each subject. I had 5 calculus textbooks. That's because different authors had different ways of explaining the same things, and one was bound to be more understandable. Considering the cost of tuition, buying the used textbooks is worth the investment.
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  4810. It’s not that the author is lazy. He is trying to mitigate against YOU being lazy. And so it goes. What is the point of challenging you to think through a problem, assuming you might have done so and then saying “here’s what the answer is, don’t bother.” Any teaching resource that does that is cheating you.
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  4811. I've got an exam in an hour and this video felt like it helped a lot, lets hope it goes well
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  4812. Prepping to take the GRE in April.
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  4813. I'm a second year major in math and I am really afraid of scoring low on a final exam and having a low gpa(i have 9.25/10 right now)what advice would you give me?should i worry less about grades?
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  4814. I love this because it looks like he typed it up in Word or OneNote and did very little formatting, which is exactly what I imagine I would do if writing any math instruction. Excellent readability.
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  4815. Im here because I just got a 44% on a french test. I am now failing. 😐
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  4816. Dondald Knuth is the one founding fathers of computer science and the one who expanded mathematics to computer developing and adding the dimension of digital laboratory to mathematical experiments. The three first volumes i owe my interest into algorithmic design and mathematical modeling of algebraic structures to solve algorithmic theorems.
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  4817. I love this guy, it feels like he's talking to me directly. Like a one on one coaching session. Thank you.
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  4818. "Enjoy the formulas" reminds me of James Stewart calling calculus "intrinsically beautiful".
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  4819. Do you have any recommendations for self-teaching graph theory? keep up the great work!
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  4820. This book is way ahead of its time. It looks like a book from the 1970s and 80s.
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  4821. I passed Calc 1 this spring but I’m watching this to solidify it in my brain for now since optimization is something I struggled with even though I understood it (so many steps). Watching a couple months after learning this and you teach it a little different than my prof but I’m loving it and it’s making a lotttt of sense. Never stop making vids please.
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  4822. I have both Rudin's book and Falland's book on real analysis. I hate to admit it, but except for some introductory material, both books are over my head. I really didn't get much from either book. Maybe if you already know the subject you can expand your knowledge, but I really couldn't learn from either book. We used Royden's book for real analysis and measure theory when I was in grad school. I found Royden a bit more humain. I also used a Shaum's Outline book for Real Analysis, which was very good. Unfortunately, the outline book for real analysis is I believe, out of print. Last time I looked, somebody wanted $200 for a used copy! I think I got mine for something like $2.00 at a "Friends of the Library" book sale.
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  4823. Thankyou I'm a college student and i forget this 😂
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  4824. Hey The Math Sorcerer! I just found your channel and subscribed. I love what you're doing! I, as a high school student, appreciate how clear and detailed your explanations are for navigating calculus. sometimes I am guilty of getting into panic mode when faced with a difficult problem, and now I will make sure to write down what I know and really work to master the subject! Since I run a channel that explains math through original songs in order to get students more interested in math, I love to see others inspiring students to see the true power of mathematics. I can't wait to tune in to watch more math videos on this channel :)) Happy new year! - Swetha from Melodies for Math
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  4825. Im glad I have this book sitting right beside me 😊
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  4826. special guest in today's vid, nice :D. also uniform continuity is killing me right now but it seems like everyone in the class is grasping it immediately :/
    13
  4827. I am calling it, 1 year he will have 100k+ subscribers and 3-5 years he will have 1 million subscribers, screenshot this comment and come back in 1 year and 3-5 years!
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  4828. Sir, you have videos on each and every topic I ever wanted to learn, I mean you have 3.5K vids! That's a great feat! If someone watches from your YouTube channel diligently, they'll easily succeed in Math.
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  4829. my opinion is there should be an organization which checks maths books and checks if they are well written. If they are , they would get a badge. I hate the fact that there are so many bad-written books that i have to go through in order to find a good one. Thank god channels that review books (like yours) exists
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  4830. Hi! I am a junior in high school. I very much enjoy watching your channel! You inspire me to go into stem. I would love if I could study physics! Please keep up these amazing videos.
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  4831. Obscurity and beauty. It is weird how often these two things are in the same thing. :)
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  4832. he has developed over 4000 new theorems which was still not proved by many great mathematician
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  4833. Thank you for all of the advice! And to those who are reading this, i believe that we can do it!
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  4834. I've never seen this before. This was pretty cool
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  4835. He is really inspiring.
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  4836. Do you have any good book recommendations for Group Theory? My professor is a German math wizard, and I need some other recourses to get through the course!
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  4837. Brilliant. There's another lecture series by ben1994 which is extremely longwinded and repetitive, but you've nailed almost an entire series of his in this one video. The best part is that you give topology examples that FAIL as well as those which succeed, which is absolutely vital to reinforce understanding! I'm very impressed, thank you!
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  4838. Many times I felt stupid for not understanding a math book even during casual reading and I was afraid to tell that to my friends. You saying that it is expected helped me a lot! Thanks!
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  4839. HEY, IT'S 2020 AND IT HELPED ME! THANK U! STAY SAFE!
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  4840. For someone just starting, I'd say if there's something that fascinates you, or otherwise is what you love above all else, that pretty much answers the career choice for you. If you feel you have a calling, follow it. That said, it's probably a good idea to take a critical look at the real life version of this calling, if it's just an idea to you, and not something you already have some experience of. (eg. shadowing/ volunteering). Things don't always turn out the way you imagine they would. If you don't have that one particular choice that stands out, I think the only cure for this is to live a bit first, and see, later, if it turns up. So in that case, look where the money seems to be in the short term, and aim to make as much money as you can out of what you resign yourself to being not the most satisfying job ever, but choose to make as satisfying as you can by your own choice of attitude. So if you think you know what you like best, let that make your decision for you, and if you don't, let the money decide. And probably don't completely commit to either of these, even if they coincide. With time things always seem to change. "He who expects nothing will never be disappointed", is not as bad an attitude as it might seem. Instead of inspiration, cultivate a sense of duty/ responsibility (but don't undermine your own best interests with this). And then decide that "It's never too late to change". (It can get that way, but it's almost impossible to judge or predict when that situation kicks in. There have even been people who took a big turn in life in their senior years. The 20-something idea that "life is over by 40" is not right, for starters. There are people who start all over again every five years, even.) It's better to follow interest than money - unless it's money you love above all else - but I don't think everyone has a great unique assigned destiny to discover. It's better to make the most of things as they are right now, set expectations at least to "moderate", but choose to be content, rather than live with the sense that the "mission is not going according to plan". The mission is to breathe and be "normal". That's how most people live. Exist, fit in, be nice to your nearest and don't be needlessly horrible to those beyond the inner circle. If you're doing that, you're managing just fine. Of course someone following maths videos is following some kind of fascination, so there you go, question answered. Just go where the maths leads.
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  4841. Dude hyped my up harder in 2 minutes than any of my previous teachers. Let’s goooooo
    13
  4842. Kind of a tangent question (unintended pun). What thickness of pencil do you usually use for doing math problems? I use whatever I have at home but they're a little thin.
    13
  4843. This whole series of books is fantastic, it goes from arithmetic all the way up to multivariable calc. I bought a bunch of them last week and have already really sharpened my basic calc skills.
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  4844. Im from morocco thank you for the time that u took to help us.
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  4845. Just wow. I'm blown away by the idea of putting the object, the instrument and the goal right before each section. Such a simple thing but it gets you right on the action and the core very fast. Actually considering buying this and I don't really buy books in languages other than spanish. Complex analysis is kinda kicking my ass right now and it's funny that the author seems to go deeper there lol
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  4846. As always, great math advice.. great life advice as well . The now , yesterday is gone, tomorrow hasn’t come. Thank you sir .
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  4847. Bro, the life lessons you drop are nuggets of gold. They are relevant to class and life in general. Keep up the great work!
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  4848. DONE!!!! Just bought myself a brand new copy of the International Edition after watching the first half of this video!!! Thanks for the tip, Prof. Dr. MS!!!! I was wondering what to do with the extra money I have this month!! :) :) :)
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  4849. "Deus ajuda quem cedo madruga" thats what we say in portuguese.
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  4850. When I read this book by myself I was amazed. I got mature with Calculus.
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  4851. The voice is so peaceful and calming
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  4852. You have incredible insights on this topic. Keep up the good work.
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  4853. The TAs are different here in the UK. Some scholarships come with a certain quota of teaching per year. That's rare. Otherwise, graduate students get paid to help out in lectures, seminars, and teaching sessions at a rate of about £16 an hour, for about five to six hours a week (including preparation), per module. For example, my scholarship at Essex wavered my tuition fees and paid for my living expenses, but I was not required to do any teaching. I did help out in a second-year real analysis course in my second year, and that was paid in addition to my scholarship. I had to apply for it. At my upcoming university, also in the UK, they have TAs too. You have to apply for them. I think they're application only because it's not assumed the student knows the undergraduate material. For example, a friend of mine's undergraduate degree was in mathematics and computer science, but her final year dissertation had applications in chemistry, and the university's chemistry department noticed, so offered her a PhD position. She couldn't teach any chemistry at first but she could do TA work for the mathematics and computer science departments.
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  4854. 1:20 - I also struggle with this. I can't just move on to the next problem, I feel like I have to get it all right.
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  4855. Typography of these old books are so pleasing especially when accompanied with old paper.
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  4856. I like math and i was very good in the heigh school but when i see the algebra in my first math year i was shocked 😂😂😂
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  4857. 💜🧡 my mentor ✨️🙏🏻 I will never give up on math and you're the reason why
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  4858. In high school or college, what was your favorite math class?
    12
  4859. idk why a lot of people gloss over algebra. When I was in school people had a tough time in Calculus because they lacked algebra knowledge that you need to solve problems
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  4860. Sir please read this if u get time Sir ,i am 16 .im watching u for the first time.I felt more connected when u shared ur life experience as a student when u burned out and having not so good study habits despite u r a genious and humble person.I am in my burnout moment where i really dont feel studying.But somehow ur video is soo relatable that i really felt these advices are completely formed for me,as i am feeling pretty dumb and numb at the same time.Plz give more videos sir for people like me who have the hope to become genious one day and just come out of their fear for new things just because of our thought.God bless u.❤
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  4861. Omg okay so I know I just commented, but a friend on discord was asking me for help solving a combinatorics class problem and it was literally the ungraded problem at the end of the video. I have never felt smarter in my life.
    12
  4862. Welp it will be my third time taking calculus 2. I’m trying alright
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  4863. I think the most beautiful thing about maths is that it is completely man made yet it is a part of nature
    12
  4864. Definitely agree. I've been the most motivated and happy when I compete with myself :)
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  4865. That proof I need to clean up and is sitting under my writing pad for weeks now disagrees.
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  4866. The Greeks used mathematics as the source for solving all their problems and this occupied my mind for some time until I realised (discovered) that it was more a way of thinking that resonated with each number. Another person who "discovered" this approach IMO was Edward de Bono who had a classical education and I think this helped him in coming up with his thinking skills courses the component pieces which when all put together can assist in solving any problem in life. Stanford seems to be a place where much of this "type of thinking" was exposed to the world albeit the student has to fathom out the structure it is ubiquitous.
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  4867. I own this book. It's fantastic.
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  4868. Hahahaha!!! I was the arrogant fool who loved to show off my grades in math class.
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  4869. I’ve always been horrible at math…but ironically enough, I’m okay at music, lol 😂 My K-12 years were far too weird to describe sufficiently here, but I’m 100% sure that that is the reason why my brain was never really capable of absorbing basic mathematical concepts. Luckily, back in 2016, I took a basic math course via an instructor at Mathnasium. That gave me the skills and confidence I needed in order to successfully complete the GED in early 2017. So, long story short: I completely agree with the sentiment of your video, Math Sorcerer. I’m never going to be as good as you, at ANY mathematical courses, more than likely; but that doesn’t mean I shouldn’t try…. Learning stuff shouldn’t be a competition. It’s all about personal enrichment.
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  4870. I'm starting my PhD soon, would this still be useful? Graduate separation is a little different in Europe,since my masters would mean I already "attended" grad school?
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  4871. Thx, your suggestions are saving my sanity. poorly written books drive me off the planet.
    12
  4872. you saved my life
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  4873. There's a popular Chinese proverb that says: “The best time to buy a stock was 20 years ago. The second best time is today” :)
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  4874. Probability is a branch of pure mathematics with real world application. Sheldon Ross’ books are pure gold. Get a copy of this book if you desire to learn probability and statistics in an applied context.
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  4875. I clicked because of the change of scenery, but I stayed for the content. I appreciate a different background every now and then, it makes the videos feel more lively for some reason. Great work!
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  4876. Very less people are on YouTube who does solve higher mathematics Anyways I'm msc physics student. Thank you sir
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  4877. Yes, Mathematics is absolutely an Integral part of Happiness!
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  4878. I am finishing to study a 5-year degree in Physics, and I want to become the best theoretical physicist I can, focusing my research in the most theoretical and mathematical topics (without converting myself in a mathematician), do you think is necessary to study books of Topology? or is better to focus only on books like differential geometry for physicists, fiber bundles for physicists, knots for physicists, etc.?
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  4879. Clearly, his sorcery no more falls under state guidelines. This is the realm of dark mathemagic we're talking about.
    12
  4880. Good advice for anything. I would recommend getting your mundane activities out of the way first — coffee, food, showering etc. By getting this all done, you eliminate excuses
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  4881. This is the best channel on internet that a person can learn Math easily. Keep up the good work sir.
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  4882. This is incredible. Have not found anything similar to your explanation. I found almost no useful tutorials on this topic - EXCEPT THIS ONE! Your work is very much appreciated and I thank you very much for your time and energy, that you put into this videos. I hope you have a few videos on injective as well, since it is part of characteristics of functions as well! Wish you all the best! You gained a need subscriber
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  4883. When I first saw the book I thought you're showing us a chocolate bar... 😂
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  4884. Bio is applied chemistry, chemistry is applied physics and Physics is applied math
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  4885. Kreyszig's introduction to functional analysis is my Bible.
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  4886. The first time you read through a math problem, if you're confused or don't have any idea what to do, that's perfectly okay. You can go back and read the problem, or parts of it, again, as many times as you need to. In fact, reading it several times will familiarize you with it, and things that are familiar MIGHT just be less scary.
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  4887. love your lectures the enthusiasm in the class is so contagious..
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  4888. first guy that actually says what the video is about at its first 10 seconds... you have my heart! :D
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  4889. After your last motivational video ("put your hands up and say I CAN DO IT"), I've searched for some exercises on internet, for analysis (my weakest point), and discovered that I was just studying by a real hard book, with real hard problems for undergrad. I took a week for resting and solved the exercises in one day. This was the most satisfying thing, until now, I've done with mathematics
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  4890. Exactly. I've decided to teach myself calculus from Spivak (thanks to you and others)! It's nice.
    12
  4891. Basically study a lot, the only way to learn math is to do math
    12
  4892. Thank you, sir. This helps me tremendously.
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  4893. I did math for a living (accounting), and now I live to do math.
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  4894. I enjoy the books you have been recommending. I heard of Rudin, but we used the textbook from the AMS. Was it good? This summer I got a job making beef jerky; so, I wrote a formal mathematical proof on beef jerky production.
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  4895. I think you can learn from videos as long as you practice extensively afterwards, which almost always equates to opening a book and doing the exercises. For me, having lots of books is great because you get multiple perspectives. Even the best teachers all have their own style. One might give more intuition, another shows more example computations, some teachers are concise while others verbose, etc. I've found that reading sections from multiple books simultaneously, both reinforces what I've just learned and gives me a better understanding of the concept.
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  4896. It's cool to see your patience teaching something. Nice, lot of fun. I thank you for doing this.
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  4897. Nice description of my algorithms and data structures class haha. Espetially the part: the homework or test looks like nothing you´ve done in class.
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  4898. 🙌🏾 Love his book and it was you who convinced me to get it! 🙌🏾
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  4899. So glad I came across your channel, your videos have helped me simply not feel like an overrun failure haha. I'm an adult student and have had to relearn math from the ground up (starting with pre-college algebra class) I never took anything beyond algebra in high school. Next semester I will be in Calc 3, watching your videos have helped me with my perspective and I want to keep going further with math. There are students from STEM highschool programs who run circles around me but as you have said it takes "time". Thanks and keep up the great videos!
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  4900. Your math videos are fantastic! :yougotthis:
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  4901. Heres an idea. Get the book with the great explanations and a 2nd book with the worked examples. Trying to find a book with both is impossible.
    12
  4902. Man I would like some blueberry pie right now
    12
  4903. It's totally true
    12
  4904. Great video. I’m about to be at exam 1 in calc 2, I saw this and thought I was going to see some integration by parts or something. Quickly realized I was capable of solving it. Pretty cool seeing problems that look terrible broken down nice and easy.
    12
  4905. GOD BLESS YOU AND YOUR FAMİLY THNAK YOU I WAS LOOKING FOR THIS !
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  4906. This coincides with my own experience perfectly. I have always had a talent for physics and maths and that carried me through one of the toughest programmes in mathematics. Problem is that my talent gave me straight A's without the need to study before university but could only get me decent grades with sporadic A's after that since I was adamant that I were to figure out the subject of the exam on the fly, hence terminology would limit my success. My talent also made me naive in the sense that I completely disregarded the importance of social skills when it comes to landing the dream job offer. Now, a few years later I have come to understand that all it takes is just a little more effort and I can deliver great work which means that I could have had an excellent academic record. In a way this situation and insight strengthens me greatly since I feel that I could have done so much better and therefor feel the need to perform to prove myself. In a way will is everything.
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  4907. "learn math for self fulfillment" only humans can say that
    12
  4908. This video appeared to me right after I got ignored by a girl
    12
  4909. not burned out yet, but the constant barrage of initially incomprehensible concepts that are perpetually under-explained seems relentless and the urge to flee somewhere things aren't complex or convoluted eventually becomes hard to manage.
    12
  4910. Not weird- unique!
    12
  4911. LMAOOOOO THIS WAS SO TRUE, DONT ATTACK HIGH SCHOOL ME LIKE THAT
    12
  4912. These recent video's where you do a problem and explain your steps have been great.
    12
  4913. The most straight-forward calculus textbook i've ever seen... No bs, nor dilly-dally; straight to the problems.
    12
  4914. Sometimes I think that Math Sorceror finds his math inspiration in his book inhalations.😄
    12
  4915. Hey, can you make a video on prerequisites for "Riemann hypothesis" which books to follow and how to learn or approach these kinds of problems in general. (Please try that the books should be available internationally and easyly) I believe that everything is easy when you understand it and even the easiest thing can be difficult for someone who don't understand it. You can understand anything because it was written by a human like you after all.
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  4916. Thanks for the infinitive product example and simplification approach you used. By the way, the GAMMA function is one of my favourites. Thank you for showing this book. (And yes, it is very well made... and I can see the layout is very readable, clear and uncluttered.)
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  4917. I always remember a Feynman video I saw, where he says if you don’t understand something, go back to the beginning and read it again. If you still don’t understand it, do it again and again and again until you finally do. Another thing Feynman famously says is that you don’t understand something until you can explain it to someone else. I find that even starting to try explaining something, even to myself, makes me think about it in a whole different way and somehow shows me just what it is that I didn’t understand and then I know what to work on. Try both these methods and eventually, you’ll get it. Really! Good luck to you!
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  4918. This actually happened to me when i moved to US. Because math was taught heavier back there, in high school I didn’t ever touch the pen whenever i had to do math i could solve all in my head because we learned all the stuff in our high school (like up to some good portion of the whole calculus series in college and DE and linear) As a result I didn’t do any math for like 2 years or so but when i started to take classes in college, i always at the start had this feeling that “what if i have forgotten so much that i cant learn anymore”. Still sometimes im taking classes i have this feeling but it’s getting better! To not let this happen ever again, i try to open my notes and study older material when that semester i dont have any math. Or over a break or smth like that but man a whole lotta other things take priority such that i barely ever can do that. But i think thats the cure for it because not only you dont forget and dont lose the muscle memory, but also you retrieve the data you know from older concepts and can make better new conceptual connections between topics!
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  4919. 0:30 OOOH man those sections are juicy! I gotta pick this up for sure.
    12
  4920. I learned this from working with engineers of all ages. Passion is the key to success. Without it, you won't go far.
    12
  4921. You said it right: line by line, word by word.
    12
  4922. That's a great book! It's the one that I started learning about proofs from
    12
  4923. Real analysis is one of the reason for me to get into mathematics
    12
  4924. Beautiful advice! Still remember my uni days solving a Maths problem for days and not moving ahead, telling myself the story that I won't leave any weak material in my foundation. At the end of the day, it was pure intellectual ego, which harmed me more than it benefited me. There were times when I was able to come up with some unique solutions, but there were other times when my obsession for "solving" everything, led me to even depression where I thought I wasn't good enough because I couldn't solve a problem! It would take just one unsolved problem for weeks to make me forget all the other times when I came up with something good. I would suddenly sink into the blackhole of believing that I was stupid. Once I lost a complete year chasing the dream of being a perfect Mathematician! Beautiful advice from you here. The most important words in one's life if you are suffering because you can't get something- LET GO! I think walking is a wonderful way of practising letting go of things. Meditation is another beautiful thing. May all be free from suffering.
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  4925. French is my educational language, but I honestly think English is easier to work with
    12
  4926. oh god I loved this video, I really feel this! One quote I made myself is "If you understand everything you know, you're wasting your time". There are so many things to learn and to get maturity, if you dont have one concept you don't fully understand on your mind, you're wasting some precious time and in the future when you're strugling to learn a concept you dont entirely understand, you'd wish you had more time to think about that
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  4927. Great set-up sir Also, greeeeat idea for a video
    12
  4928. This not about math specifically, but I love how in my Chemistry class the professor teaches concepts and then proceeds to make an exam/homework about math problems he didn’t teach us at all expecting us to magically solve them.
    12
  4929. Yes, math is hard. Having different resources are important. I have found, sometimes, that when I quite my mind, let it rest, I get to understand..but only sometimes.
    12
  4930. Thank you for this. What a blessing it was to find your channel back in the day. Really great having you with us on our mathematical journey ^^
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  4931. In case anyone is interested, the Latin phrase underneath the two camels (?), Concordia parvae res crescunt means, "In harmony small things grow/flourish." The motto below that, Laborum praemia, means "Labor rewards".
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  4932. I'm a senior in cyber security engineering. Currently following your diff eq lectures, you use a different book but it still works out. When I was a freshman taking calc 1 I was so upset and frustrated with myself and the class. I opened the textbook and really just couldn't comprehend what I was reading. I would rewatch lectures three times and still not understand the concepts. After taking Calculus 2 I took Physics, that is where everything came together for me. I can think of the actual applications of the calculus instead of just numbers. Honestly it confuses me when math isn't taught in application form. Anyways, love your content, you always have such a positive and uplifting attitude.
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  4933. I always come home from work very depressed, tired, and demotivated. Taking a break/nap does NOT help. I struggle to do my studies sometimes and other times I do study but feel like poo. This is an everyday thing. In the morning I feel good studying (which is why I get up at 4 or 5 am). But work really drains my emotional energy. Not sure what to do about it
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  4934. I agree with you to some extend, but how about the fact that we math majors basically have to prove everything we learn? Whereas engineers only prove learn how to use math as a tool.
    12
  4935. I'm really enjoying your videos. :) For computer folks who want a beautifully put together and swift intro to discrete math, I highly recommend "The Essence of Discrete Mathematics" by Neville Dean. Just under 200 very well integrated pages.
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  4936. I majored in biology. I hated bio2 but i had a professor who was the sweetest lady. She was retiring and decided to give the entire class an A. On her last day we threw her a pizza party.
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  4937. I found the disk/shell stuff clear and simple.
    12
  4938. Great video, Math Sorcerer!! Though I was waiting for you to use set builder notation symbols. Still, your demonstration was incredibly enlightening and insightful!! Thank you, MS!! :) :) :) :)
    12
  4939. Little aspect in an otherwise fascinating video, if "Mir" is pronounced anything like the Russian space station which bears it's name then I believe the correct pronunciation is more akin to "Meer" as in Meerkat. Thanks Sorc
    12
  4940. I remember bringing this book from my college library to my home at the time I studied Calculus II (Integral Calculus, 1998-1999), even if I almost didn't work out its examples I read it avidly, it's a really good book for the calculus interested person. It's divided in two volumes. Their exercises (examples) are really hard, don't expect to find the same integration level as in most of nowadays textbooks. :) Other jewels from math from the past: -Hobson, Trigonometry -Hardy, A Course Of Pure Mathematics -Gibson, Advanced Calculus -Chrystal, Algebra (vols. I and II) -Whittaker-Watson, Modern Analysis (Complex Analysis)
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  4941. Of course one needs to be obsessed with math, sometimes as hard as it sounds, you have to weep in a corner because you dont understand a concept that seems easy at first. So you don't sleep while watching examples of said problems, get three or four hours of sleep and just as you wake up, you start imagining the problem again. ¿What did I do wrong? Which concept am I skipping? And then voilá, you get the gist of the problem and solve it. Until you face another challenging (or not so challenging) problem and you have repeat the process, if one is not obsessed I believe you won't take the problem seriously and you might solve it but it will take longer. Given that math is this neverending monster of harmony, one oughts to learn as much and as fast as possible without compromising the learning journey. I still believe that the only sane obsession with a science is the one that comes with love, otherwise you will be unhappy.
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  4942. Good advice for trying to learn or achieve anything 👍🏾
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  4943. Love the energy!
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  4944. I love your math comedy videos. You have a natural talent and are very funny.😂
    12
  4945. I guess I'm the only one who is looking at his muscles. ❤❤❤❤
    12
  4946. You're my hero. It's been very difficult finding help in analysis and topology
    12
  4947. This is a good book to start out if falls off on the details tho when you get to mutivariate transformations with the jacobian matrix as there is no clear explanation on how they support of transformed equations. Also the chapter on ordered statistics lacks some derivation at the end. All in all for introductory stats classes this is a great book but for last year undergrad to masters definitely go for modern mathematical statistics with application 2nd ed by springer because it hints at how one might derive the harder equations like a joint distribution of 2 or more ordered statistics while wackerly does not. Last year statistics/ML student
    12
  4948. That looks way harder than my Calc one test was by a long shot. Lots of that stuff was way beyond what we learned at my university
    12
  4949. Thank You! Your channel, YOU, have motivated me to change from Pre-med to Math and Econ. I have enjoyed Advanced Calc/Real Analysis. My favorite Class by far was Linear Algebra. I will be graduating Fall 2023 :)
    12
  4950. Gratz on the 1k man. It's awesome having a professor recording their lectures for me to be able to catch up or re-watch later. Keep the passion my man.
    12
  4951. Jee Advanced questions are difficult and most of time they have mixed concepts in it and what makes it more difficult is to solve maximum questions in given time
    12
  4952. THANK YOU. I've been struggling with this for weeks. I understand it now at last.
    12
  4953. I wish conspiracy theories actually knew math, because they would be proved wrong
    12
  4954. I'm 29 and I want to start
    12
  4955. I wish there could be a video like this for every subject in the world. I'm not even gonna study all the way to the advanced math stuff but I really enjoy this video.
    12
  4956. Go for it! I majored in economics and now im doing a masters in statistics and probability.
    12
  4957. I really like this video because it is quick and a great demonstration of important techniques helpful to beginners.
    12
  4958. Motivation and passion come above natural talent. A close friend of mine had their IQ professionally tested at 142 but their mental health kept them from doing anything. I also know a few friends with learning disabilities who think they can't do anything just because the education system has failed them, I can't imagine how awful it must be to be given up on.
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  4959. Couldn't agree more. I had great ones; they WERE smart but always prepared even if they had taught the same class for years. After teaching HS math for 20+ years, great questions from students led to different ways of approach. And, learning to be creative on the spot to explain questions and topics.
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  4960. Thanks again, TMS. Empathy seems like a dying virtue but your authenticity always shines through in all your videos. You’re a huge inspiration for all of us.
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  4961. You are absolutely right my friend. Topology is tough subject. Your review , efforts are very nice and informative too. I have eleven books on Topology Following 5 books are by foreign authors 1. Topology by James R Munkres. 2. Introduction to Topology by Bert Mendelsons. 3. Foundations of Topology by C. Wanye patty. 4. Introduction to Topology and modern Analysis by G. F. Simmons 5. General Topology by Seymour Lipschutz Other 6 books by Indian authors 6. Topology by K. P. Gupta 7. Topology by M L Khanna 8. Topology by B. D. Gupta 9. Topology by J N Sharma & others 10. Introduction to General Topology by K D Joshi. 11. Topology of Metric spaces by S kumaresan. I used these books in my undergrad. I am still gathering lots of knowledge and ideas from these fantastic books. Love you from India. Thanks a lot for your endeavours.
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  4962. oh wow i just realised this is what my highschool teachers have been pushing when I was reaching my final exams, where in preparation phase we would all set time limits on certain math question types and would just try to finish as fast as possible.
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  4963. You have chosen the right discipline now being a mathematician.
    12
  4964. That background music hit different!!!
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  4965. Thanks, actually these 3 points make sense in every field.. this why I keep following this channel, even though I am not a math major! Most of your videos are "generalizable, transferable and valid" to be applied on other fields.
    12
  4966. I'm not a math major but I really want to take that class at some point.
    12
  4967. This teaches me more than school those thx
    12
  4968. Best explanation of the La place transform, this is so inspiring.
    12
  4969. We appreciate your effort and hard work. Happy New Year
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  4970. You're saving my ass right now lol thank you!
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  4971. best video on line integrals i've ever come across!
    12
  4972. Van der Waerden was a superb writer and editor. "Sources of Quantum Mechanics" is like a great novel.
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  4973. I can think of many times over the years, where someone's day was made by simplifying the cryptic mess they were taught (typically by people who didn't really love math, or had the "I am smarter/better than you" attitude/illness). I love seeing the "lighbulb" go off, when they understand something new - and their confidence is bolstered. I remember being at a wedding, and a lady bought me a nice lunch after explaining how a LASER functions - making people happy with knowledge can get you fed! Sure, a lot of math is complex ... it is an equal oppotunity heartache ... but much of it is simpler than many teach it to be ... and there's nothing like when it clicks ... why we like your channel. Cheers
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  4974. Good stuff and wait until thermodynamics 2 and fluid mechanics! Real fun there!!!
    12
  4975. "This book is okay, it's better than ok, it's pretty good"
    12
  4976. In Brazil, we have an national public project, called Cientific Initiation, or IC as we call it. So, basically, what you do in an IC is, during one year, you study at least 3 basic results of an graduate class (for example, my IC is on banach's fixed point theorem and how it applies to ODE, in the picard's theorem). You receive an advisor and have the opportunity to present your material at a congress, in October, called CONIC (I would love to see The Sorcerer watching my presentation haha) But anyway. It's an good idea, we receive an "financial help" of 80 dollars per month and it's and great step for those looking in some specific direction (unfortunately, an number theorist was not available at my department at the time I started the burocratic process, but an analyst, and great professor, adopted me, so I'm happy)
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  4977. The best path is self learning. Look at all the required subjects and common topics. Prerequisite lists are available for all Med programs. Mimic premed programs. Test yourself against known question banks to see if you have a natural aptitude for the field. It is a lot of work, worth it as long as you not have to make significant personal sacrifices. We have one life, find what works for you. Didn’t finish high school and had similar health interruptions when I was younger so had limited schooling. Also a Medical Doctor.
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  4978. You're awesome and worthy!
    12
  4979. What is your favourite topic in algebra ?
    12
  4980. Tus videos siempre son un aporte.
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  4981. I teach pre-calc as a TA and on the last test, my class had the lowest average of the five sections. My class kicked into gear and worked incredibly hard, packing my office to its capacity during some of my office hours, and on the second test, the class average increased 8.5 points. They aren’t the most talented bunch of math students, but they worked hard and I am incredibly proud of them.
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  4982. My top tip: whatever proof you find the most difficult in a section, focus on that one, write it out in a way you understand with notes, and prestick that to the wall. My wall in undergrad was full of the proofs I found the most difficult. Anytime I needed a refresher, it's there.
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  4983. I have 3 final exams this week, I am dying of stress and in a couple of weeks, I start my last year of study. I'm really passionate about knowledge and I would love to have the ability to study a lot about mathematics, physics, astrophysics, etc. But I don't know if in the following years I would like to face so many years of stress and anxiety just to learn more and have another university degree.
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  4984. I would rather pay higher taxes so education and medical can be free for all. I was fortunate enough where I was able to to pay for college by working and living with my parents. I can understand how student loans can become overwhelming for some students, and the education system definitely needs a reform.
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  4985. Please, no more negativity. We all need to be rational !
    12
  4986. When I was teaching public high school, a fellow math teacher had a poster in his classroom that said, "As long as there are math tests, there will be prayer in schools."
    12
  4987. our prof doesn't finish the lectures for DE, thanks to your videos i can learn them during my free time. you're a life saver
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  4988. You have to find your "Knack". Maybe a STEM degree is the right path, maybe learning a trade. Experiment. Do. Be open-minded. Write down all of the things you'd like to try and sort them by "Job" and "Hobby". Do several iterations. It's the advice I gave to my kids & they are doing well building lives for themselves.
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  4989. I’m first so I’m good enough
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  4990. The guy's handwriting is clearly done with a fountain pen or something of the like. Pretty cool stuff.
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  4991. Good for her. Go for it!
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  4992. I started this year not knowing how to expand ( a + b )² , now im learning advanced calculus at 16 years old!
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  4993. books that have a self stocktake on your basics are generally excellent
    12
  4994. "Calculus is the study of how things change"❤❤
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  4995. I'm a philosophy student and before studying philosophy I was hanging out with friends nearly every day, now I constantly get stuck in a loop where I push friends away to make time for philosophy but then I get so lonely that I loose energy. It's a damn fine balance.
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  4996. This is great. No wasted time at all. I'm very happy to have this overview. This playlist & the one on functions are not taught in any formal sense to Math majors- at least not 40 years ago. A pity!
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  4997. you taught this to me better in 5 minutes than my professor could in two hours
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  4998. dang, and my friends and I thaught our final calc 2 test was long with 10 problems, they give us 2 hrs to complete it
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  4999. When I was a student, I got praises as well as jealous remarks for my ability(some used to say that only those questions came in exams which I prepared, which was obviously a bogus claim made for a math nerd) Now as a graduate , still getting the same attention. If you have talent in a field and have passion for it, others' remarks are immaterial.
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  5000. I believe ..You are the one who keeps motivating me to study maths continuously... 🇮🇳
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  5001. All the students and professors at my college will tell you that the 'entry level' calculus was far and away the worst of all the math classes because its the oldest math class and occupies an unhealthy middle ground between 'low level formula' based math and the 'deeper, conceptual, theoretical' math you take at higher levels. They claim the higher level math is much easier to learn because there is far more context.
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  5002. I only came here to see if you had included Brown and Churchill, it's been my favorite since the high school days but I'll give Saff and Snider a read too.
    12
  5003. It is surprising that you haven't reviewed "Mathematical Methods for Physicists" by Arfken and Weber till now.
    12
  5004. Just write enough big words that the person grading it can't figure out what it says and they have to give you full credit. Ez everytime.
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  5005. Take action
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  5006. Not a dull moment. I have not studied this in decades. I am getting the hang of it again. Thanks.
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  5007. Another fantastic book is Calculus:A Physical and Intuitive Approach by Morris Kline!! One of my favorites
    12
  5008. I actually bought this book by mistake. I was shopping online for Thomas' calculus and bought this one instead. Turns out, wasn't a mistake after all. The book is amazing.
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  5009. Still available as an ebook! This got me really into Calc and linear algebra. Vellaman's "How to Prove it" is another must have. Wait...signed?! 🤩
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  5010. Great video. I also take heart in knowing that people who learn quickly may not learn as thoroughly and so short term and long term benefits may differ. The turtle will win the race maybe not of the maths course but of life as long as the turtle keeps going. we are all running in a different race, with ourselves.
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  5011. Retail price for Baby Rudin right now is around the $80.00 mark! I got my copy from a pop-up book sale in a mall. A lady was selling a bunch of math textbooks and she told me that her ex-husband is a Mathematician and she kept the house and the kids...😅
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  5012. Are you sure you didn’t get promoted with your Mathmagical Order, and are now in your “Math Sorcerer the White” form?
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  5013. Gives the information upfront. That deserves a comment. Thank you.
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  5014.  @thomasjohnson1959  Unfortunately, a lot of times math is used as a "gate-keeper" class or classes to some majors or professions. "Got too many medical school applicants?" "Add a two semester calculus sequence to the application requirements." It's amazing how many college classes are taught and taken to meet some requirement. Neither the students nor the teacher really have any interest in the subject at all. I was teaching a trig class as an adjunct at a university once. I asked a show of hands on who was in the class because they wanted to learn trig. No one raised their hand. I then asked who was in the class because it was a pre-med, pre-dental, pre-nursing, etc requirement. Everyone's hand went up.
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  5015. Dude I love you. I like your energy. You’re literally spamming YouTube and it’s working:). Awesome!
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  5016. I watched another video of this woman who has been going through med school and she did this. She started at the beginning of COVID when everything was unorganized and extra stressful and she said the first thing she does when she starts a topic that she is just not interested in is googles the subject and finds an intriguing way it’s being used. For her- just saying “well I need to know this information because it’s going to be on my exam.” Wasn’t enough. So she gave an example of multiple sclerosis and how she needed to know it for an exam but she had 1 million other things that she needed to know for her exam and so she googled multiple sclerosis and found it a celebrity who had multiple sclerosis and read their story about how it impacted their life and she said it took her like 10 minutes but it made a huge difference in being able to connect the textbook information to actual real life applications which made her remember it way better.
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  5017. Probably the same goes for learning physics at a somewhat advanced level.
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  5018. This is such a great channel ... this is totally the way it works ... and continues to work until you're 120 (if you're fortunate) ...
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  5019. Great video! I actually took down notes watching this video because it was so informative. My problem is definitely distraction and organizing my thoughts, but I'm working on it. Have a great day 😀
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  5020. "Yes or no, plus one reason" (regards from old Palle in Denmark, I read Linear Algebra autumn 1976 as part of me M Sc in Physics, my test was more difficult back then).
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  5021. It has been my experience teaching College Algebra at a community college that I've gotten more than one student who passed the first test with flying colors, only to barely pass or fail the second exam and then to drop the class. By going to the office and looking up their record I found that many of them had started College Algebra several times, only to drop after a few weeks. Never really figured that one out.
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  5022. Good luck from Queensland, Australia 😁👍
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  5023. More please... <3
    12
  5024. This was pretty neat and concise -- just what I was looking for. Thanks for highlighting the restrictions! This has been really helpful to me. ✨
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  5025. I think we need a workout routine on the channel. Man is jacked!
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  5026. I love how nostalgic you sound when talking about level 2 and level 3 :)
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  5027. That was a very good journey from literally high school mathematics to just short of actual research level mathematics (1st and second year grad). Good assortment and amazed how books vary considerably in difficulty which is always interesting since the topics are very similar and what is proved is the same; however, the prose and motivation makes it easier to use one book over another. High 3 or low 4 is where I am.
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  5028. The common sense answer is "as much as you can handle" while still retaining some mental health and (if you care about them, e.g. for scholarships) good grades. I try to take 4 courses per semester (+ mandatory non-math courses), since I end up bored with just 3 and anything above 5 is probably insane.
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  5029. 3:20 fun fact: this is also know as the absorption law (A = A u (A n B) and A = A n (A u B)).
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  5030. Poincare used to spend two hours every morning and two hours every evening studying mathematics. This is roughly what I've been doing since I was 20, it has worked well.
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  5031. I'm a freshman studying maths in Portugal, currently struggling with this topic. Today I found out I didn't get accepted to the only program I applied to (PCMI USS), which was a bummer because I had a really hard time finding a suitable program, given I'm just a freshman. It felt reassuring listening to this right when I needed it. Thanks for the video. I'll apply again next year :)
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  5032. rofl this comment has the most likes, ok almost
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  5033. Two suggestions for fancy math books: 1) Indra's Pearls by Mumford, Series, and Wright. 2) The five volume Michael Spivak set, A Comprehensive Introduction to Differential Geometry. The first has a fractal that looks like it was made of pearls on the cover, the series has hand-painted pictures by the author.
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  5034. "Python Tools for Scientists: An Introduction to Using Anaconda, JupyterLab, and Python's Scientific Libraries" by Lee Vaughan is a good read.
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  5035. I'm actually thinking about double majoring in Mathematics so I can have that along with biomedical engineering.
    12
  5036. I love such clear and to the point examples. Thank you!
    12
  5037. Faild my first clac 2 quiz today and this pops up, it is not a coincidence.
    12
  5038. I will be watching the rest of your Differential Equations videos for sure during this quarantine so thank you 🙏
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  5039. As a Post graduate student in Mathematics who has a keen interest in Pure mathematics 99% of the times I spend dwelling in theorems and their proofs and the rest 1% of the time I solve problems. Speaking from personal experience that building concepts (no matter how in depth you get to know about something) is not gonna get you far. You need to solve problems with the knowledge you've gathered. This is the most compact way to get better.
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  5040. While I do believe Calc I was the easiest of the Calc courses, failing to comprehend the basics can set you up for trouble in the calc array. Calc 1 goes over the fundamentals and exactly why you use dy/dx or Riemann’s sum and integration. The coursework is fairly simple but the theories must be conceptualized before exiting this class. Calc II is definitely the hardest in terms of coursework. The problems assigned can take pages of work and there is room for error in the algebra. Trig substitution was killer and often discouraged me to finish an assigned problem. Luckily, the theories and concepts are easier to grasp in Calc II and the geometric analysis portion is fairly simple compared to Calc III. I thought Calc III was easier in terms of coursework but the theories and concepts were harder to visualize.
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  5041. Este libro es para estudiantes de la carrera de matemáticas, ya que no es apropiado para personas que desean adquirir buena habilidad para calcular límites, derivadas e integrales difíciles.
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  5042. You really are a wizard of Calculus. Cauchy would be proud
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  5043. Sir, Thanks a lot for your useful suggestions. I will always remember your advices and try to abide by them . Thank you very much
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  5044. So.how much math to get buff?
    12
  5045. I got this when groups was introduced. So it was tough to learn it from this book. Then i had to go down to Herstein. Few years back i tried going through n it was fun. Style of this book is unique. Rightly said Spivak of Algebra. Not easy but admired n timeless.
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  5046. Omg I literally spent an hour looking for how to find class width and then I found this video thank you sooo much for helping 😊🙌🙏
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  5047. Watched this on the treadmill lol. Healthy behavior is all about building habits. Get in the habit of putting deadlines in your calendar, knowing what you’ll do when you wake up in the morning, setting goals and trying again if you fail.
    12
  5048. To find the n-th row and the m-th column, use the n-th row from the left matrix and the m-th column from the right. Thanks, I had a hard time remembering!
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  5049. Absolutely agree with the message that creativity would come from experience. Piyush should try to find interesting math books and just go through solving all the problems there. It depends on your standards, but I'll probably start with some number theory, geometry and trigonometry stuff (Loney, Hall & Knight etc). They open your mind to mathematical thinking. You won't even realise when you have found your own unique way to approach problems.
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  5050. You are my favorite Professor and have inspired me to learn what no one else did.
    12
  5051. I have been watching your clips since i was a high schooler, now i am majoring in pure mathematics..... your clips are so inspiring! Thank you
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  5052. I'm currently in community college with hopes to becoming an engineer as well. It can still be costly but it's easily 1/4th of the price of major universities I also started with a GED and did developmental algebra along with college algebra and got an A in both classes, I'm currently taking trig with an A so far! You can do it!
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  5053. I love math especially in the areas of calculus and differential equations. Though my math education went no farther than calculus 2. I do really enjoy your videos and other YouTube channels that post these videos. Thank you
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  5054. I studied philosophy in college. And before I graduated I got a woman & had children. I started working at a lame job with long hard hours that brought little money and a lot of fatigue and exhaustion. Only at that point did I decide to study math seriously on my own, not because I wanted a better job, but because it enriches my experience, it’s nice & amazing. . .and the challenge is ennobling. I bought a lot of cheap used Dover books, then later more expensive books. I think when you truly appreciate the material and love the subject it’s easier to appreciate both the difficulty and the depth of math. Holding that job, coming home & getting a few pages or proofs done on Euclid’s Elements, properties of circles, learning trig, or calculus, was more than enough to keep me fully sated while drifting off to sleep. I was stoked when I found analytic geometry of circles, found analysis, and algebraic number theory, etc. etc. . just been having a good ol time over here! I even bought some of the books from your book reviews and started reading & working through them. I’m completely in agreement that anyone can have little money, little time, and little energy (even little ability) and still find, learn & appreciate all kinds of math. True story.
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  5055. Perfect advice! Learning math is a long journey that begins with a single step like setting time (one hour) aside for uninterrupted study. These first steps will help you set a pace (or habit) as the MS stated it so well.
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  5056. You are literally a mathstar, big fan--thank you for all your content! From Ontario, Canada
    12
  5057. the way it's like his hand is writing its like on autopilot haha first time i see this i am amazed ;p
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  5058. I started college at 23. I’m now 25 and just started calculus. I’m acing calculus but I feel so old in compared to the other students. Thanks for making this video.
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  5059. I’m telling you, you need to check out “Elementary & Intermediate Algebra” by Sullivan, Struve, and Mazzarella. It’s so good and covers everything in this book and more. And it’s affordable! Thanks for great videos like this. Really helps keep up the motivation.
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  5060. You should do math because it forms a logic inside your brain, that no one will take away ever. Analysis gives you ideas, good ideas to solve certain life problems, statistics gives you a sense on when to expect things to happen, algebra makes you a good manipulator because of the tricks you use and geometry gives you a way to think in space, how things look or may look. Math helps the brain, do more maths. Everything is based on maths, you can use math in everything.
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  5061. C. In multiple choice the answer is always C.
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  5062. Video request: study strategies/techniques/tips for proof-based math classes. What's the best way to study for proof exams? Is there any way around the endless memorization of definitions, theorems, proofs, etc. Sometimes it feels like proof-based math classes are really, like, 90% memorization. Which doesn't feel very creative. Would love some tips, etc.!
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  5063. I will not even begin to tell me how much you remind me of Bill Bailey.
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  5064. Just ordered my 5th ed. It's listed in good condition, but there was no description as to how it smells.
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  5065. I used the 6th edition of The Calculus with Analytic Geometry which we fondly called, TCWAG. The book was so easy to understand, I was doing calculus at 12 years old. His analytic geometry discussion is also so much easier to understand than other standard textbooks used at that time. I learned calculus two years before I entered college, so I was so much ahead of my engineering classmates who were using the same book in our University. Overall, I'd say my favorite math book of all time.
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  5066. you deserve more views :)
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  5067. I have some good advice: 1 Save all your notes 2 Save all your college textbooks 3 DO NOT buy NEW textbooks, get USED textbooks because they are cheaper 4 Get organized with your math notes 5 Start from pre-algebra and work your way up
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  5068. This is a GREAT explanation! thank you
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  5069. This video seriously deserves so many more views, this is very very inspirational and very very practical and from personal experiences. Thank you for taking the time to make this video
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  5070. Hello do you know of any books that teach basic proof knowledge (or discrete mathematics) along with precalculus/algebra and trigonometry? I want to learn proofs, but I don't want to invest in learning a whole new proof book. So if there was a book like that, it would be like two birds with one stone. Another advantage with a proof plus precalc book is that I leave out with a better understanding of those topics as the proof work would force me to internalize those concepts and know more about the 'why' behind the math.
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  5071. I was pretty fortunate: I don't recall any bad teachers. A few of them had horrible lecture styles: reading from old notes & copying on the blackboard, speaking in a droning voice. However, they were good during Office Hours. So, got to Office Hours for your professor and Teaching Assistants.
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  5072. I bought a copy of this book and began working through it. I feel it has changed my life! It is precisely what I needed.
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  5073. You're an amazing professor!!! please keep it up with the videos, very addictive :)
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  5074. Love you Maths sorceror. Ill make a Honorary Instagram post for you when I Get an A1 for my O Level Elementary Maths. I failed last year and Im in the Same position as the Letter writer. Thank you Mr Sorceror
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  5075. Got that book in my personal math library!!! YIPPEEEEEE!!!! Thank you for all the great work you do!!! :) :) :) :)
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  5076. Thanks for the bonus algebra question at the end! I almost always got the worst professors and we were barely taught any of the hard stuff. That's why I suffered a lot in my MSc and still don't have one!
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  5077. I had a fellow math major that started college at 47 after he retired from the US Army. The man went from babysitting 18 year old infantry privates to starting a new career amongst a bunch of 18 year old kids, and he graduated a year ahead of everyone else, lol.
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  5078. Spivak's Calculus Fourth edition differs from the third mainly in the inclusion of additional problems, as well as a complete update of the Suggested Reading, together with some changes of exposition, mainly in Chapters 5 and 20.
    12
  5079. Larson's calculus books are also pretty good especially at an introduction level
    12
  5080. Is this why teachers always assign odds or evens? Because the answers to some of the questions are in the textbook?
    12
  5081. I took Calculus concurrently with Physics. The hardest part was that the sequence of topics in the Calculus course lagged behind that of the Physics course: my Math Professor (Tony Tromba) would be going over limits, continuity and all that stuff while my Physics Professor (Ron Ruby) would be covering kinematics (position, velocity & acceleration) and Newton's Laws. I taught myself what "the little d's did" and how to work "the skinny S's".
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  5082. needed this today
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  5083. The Math Sorcerer is by far my favorite sorcerer. -Marshal Sorcerer Alexandros Magnaton
    12
  5084. Nearly 700k subs you’re single handedly raising the next generation of mathematicians. Much love
    12
  5085. You love the smell of new books. You love the smell of old books. I'm beginning to think you just like books, full stop!
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  5086. Though I am only an intermediate in mathematics & physics, having no degrees, I am reading some works by Professor I. E. Irodov, who had taught nuclear physics at Moscow Institute of Physics and Engineering. He was a Russian contemporary of Professors John M. Blatt and Victor F. Weisskopf who might might have been familiar with Irodov's works from the Soviet era. From Irodov's works, I am trying to learn arcane notations and jargons. It is a struggle. Fortunately, I have met a former student of Professor Irodov's. He helped me understand some obsolete notations that are now changed today.
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  5087. TNX, let's watch. Math sorcerer, please, give some advice in video, or somehow about practice use of math in life, i mean some book, where the practical side of use the integral, or smth like this. Appreciate 👍 (Sorry for bad eng, I'm from Ukraine, and here not so many people that believe in life improvement by knowledge, including eng ) Sorry for fairness 🤍🪽
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  5088. cries in numerical methods
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  5089. You make a lot of sense. Experience is the key. Teaching any subject to others is actually the best way to learn in depth.
    12
  5090. Jesus talk about perfect timing
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  5091. "Your success in maths depends on you". Very wise!
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  5092. In school, many years ago, I found that math was important. What I didn't understand was why they made it such a drudgery. I can't tell you how many tests and quizzes I was asked to complete that were supposed to show me that I didn't understand what I apparently was supposed to learn and they never really showed me how I could learn to see what my teachers saw in these math problems they gave us to solve. Today I use math without thinking about those problems I was asked to solve in the past and I definitely don't remember how to find the square root of a number manually, even though they drilled that so much into us.
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  5093. Lol! This is hilarious! You're the man Stanley!
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  5094. I love e
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  5095. Also just generally excellent memories aswell.
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  5096. Can I learn calculus properly while reading only one author, or should I read multiple authors? I would love to have a solid calculus knowledge.
    12
  5097. Thoughts on taking grad classes while still in undergrad? I was hoping to take analysis 1 and 2 next fall and spring after finishing advanced calc 2 this coming spring, but in your opinion, is it really worth it to do it? Or should I just wait to take them until (hopefully) I get in to grad school?
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  5098. First face reveal video A legend is born
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  5099. Thank you for believing in us. I'm loving your calculus in an hour (and sum more) video. I cherish mathematics and I'm happy to say it's my hobby! Fumbling on a problem and getting back up has this fighter attitude that I cannot get enough of. The unknown problems are the fun ones! Please be kind to yourself too! We appreciate you
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  5100. As a short person, i can confirm.
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  5101. Thank you for going step by step, really helped me out with my HW
    12
  5102. You should do a review Hoffman and Kunze Linear Algebra book I heard that it is now considered a "graduate" book but when it first came out, it was used by freshman at MIT!
    12
  5103. Math sorcerer drinking game: take a shot every time he mentions a math book
    12
  5104. can you make a video on how to learn to solve problems
    12
  5105. I have encountered engineers who are just like this! LOL
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  5106. I don't know if you did a review on it, there is a great russian book "Mathematical Analysis" by Zorich. It is divided into two volumes and covers a huge amount of themes. And it's hardcore and has some interesting tasks after every chapter.
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  5107. Thanks for feeding our 🧠 . You are a true inspiration
    12
  5108. A biography of Hausdorff was published in German in 2021 the title is "Felix Hausdorff: Mathematiker, Philosoph und Literat' in addition to mathematics he wrote commetaries on Nietzsche and wrote plays
    12
  5109. 1898, Queen Elizabeth was already alive, more precisely she was celebrating her first 400 years.
    12
  5110. LMAO at taking a whiff of the book
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  5111. Wake up, exercise 30 min whether that's lifting, walking, or running, grab a coffee or tea, THEN hit the books. Can't think of the last time i felt groggy with that routine. Also moving during breaks helps keep sharp. Speaking as a person with focus issues.
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  5112. Spivak's Calculus book mentions "learning from the masters" by reading original papers, and some of those papers are written in foreign languages. It made me glad that I'm as passionate about learning foreign languages as I am about math! ❤️
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  5113. I love how you posted this video in the exact time I thought I'm not good enough in science (I study general biology) 😆 well huge thank you ❤️ I send These flowers for you 💐
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  5114. Well i have exam today, i think i am going to watch this video NOW!
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  5115. Please forgive me for addressing this video at this time. However, this is the first time that I've viewed it on YouTube. I am self-studying mathematics. I review higher level topics as I review precalculus, at this time. What peaked my curiosity about your review of this book is that you mentioned that this book is structured around proof oriented linear algebra. And, you recommend that, if possible, that anyone using this book have a background in proof based mathematics. I was not aware that proof structured courses were offered in the undergraduate level until you study real analysis. How do I develop a focus on proof-based mathematics before studying real analysis?
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  5116. I am Japanese. This book has been published up to the 3rd edition and has been translated into Japanese. It is a very interesting book.
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  5117. It's awesome to present old book, math become like a collection art😊
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  5118. Just ordered it, thanks! I took some math classes for my degree, and I'm almost done with the math classes. I'm finding I enjoy math more than I expected and have been doing math outside of school, been looking for some textbooks I can use to further explore the subject and get more practice.
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  5119. It really depends on who and where you are. First of all are you getting into debt to go to college? How much will it cost and what are the prospects? usually they're much worse than they tell you. If it's for cheap/free you can probably try. Secondly don't do a useless degree, I've been in investments for a number of years now and even your economics degree is practically useless, it may provide a checkmark on some HR list but that's not good enough, go for statistics instead. Even if the workload/difficulty for a STEM degree is too much for you, spend a few years studying by yourself and try again in a few years, you're not going to die at 23, you have time. In general I believe more mature students get more out of education. And something general about young adults, take it easy, slowly build up to things, one day at a time. Over the course of years you will go a long way.
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  5120. These book reviews are so informative and entertaining, thank you for your infectious passion
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  5121. Bro looks like Jeff Bezos from the future
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  5122. My problem with learning math is that most of the time I just don't see the point. When I study for an exam, I know I'll only ever need that knowledge for that specific exam, because I'll never use that again. If teachers and books spent more time showing how to apply math in real life, I'm sure it would be a lot easier and more fun to learn.
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  5123. I agree !!! And I’m an undergraduate.
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  5124. I may be the weakest person in maths in this comment section but I try my 100% daily to solve atleast 15 questions for better marks
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  5125. The problems with double stars make me cry. Also the spanish translation is really good.
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  5126. I never understood the point of “exponentiating both sides” when you could just literally convert from logarithmic form to exponential form, without all the extra hoopla. Thoughts?
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  5127. Thank you so much for the advice. I'd love it if you can tell us a bit more about how to properly practice math. I think it isn't as simple as it sounds and I for one haven't found a way to improve or to become more effective at practicing math.
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  5128. Love your book reviews, specially when you show old books. It’d be great if you reviewed classics by Newton, Euler, etc, if you have any
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  5129. The fact that it has many example problems, many exercises, and answers for all exercises, that's just beautiful
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  5130. When I study I like to use noise canceling headphones. Sony makes some great noise canceling headphones with physical blocking too, but there are many options. I put mine on and will listen to brown noise or classical music and it cancels out quite a bit of noise in a bustling coffee shop. Libraries are also great places to go as many have private study rooms you can reserve for free typically for an hour at a time.
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  5131. Some people are faster in math, just because some people are not honest with themselves!
    12
  5132. You should start doing some fitness content. Those biceps are looking good
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  5133. So mathematicians can literally solve problems in physics and engineering. WoW
    12
  5134. The author Professor Guy had a special interest in unsolved problem lists. Not only this book, but also he had articles periodically in math journals that compiled unsolved problems to work on.
    12
  5135.  @TheMathSorcerer  Especially when you find the right answer to a question you have spent a long time on.
    12
  5136. so what you're saying is 0/0 is not A number, it is EVERY number :) mind blown
    12
  5137. I need these every day
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  5138. I think confidence has got a lot to with it too. We're kind of scared of the things we find hard to understand , but after a while , we get familiar with it. Atleast that's what works for me.
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  5139. Drown Mercury god speed through the sequences and infinite series
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  5140. Thanks for this clear and quick explanation
    12
  5141. Karen’s voice reminds me of Monty Python
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  5142. I am a student And I want to learn basic Logic For understanding Math Defination's . My native Language is not English And I have been learning English For a 4 month . Do you suggest me sth for reading Logic book ?
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  5143. Who are you and why don't you have millions of subscribers. Good job man
    12
  5144. Thanks for the motivation, good sir!
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  5145. I had been stuck on a similar problem for my entire doctorates in mathematics. This helped me finally figure it out
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  5146. 5:30 man that's so powerful and heart touching! Im sure he'll remember you for all his life
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  5147. Level 3 at the moment, I think Topology/Measure theory really pushed me to get better at proofs. Currently busy with projective geometry, grassmann varieties, and measure theory I actually think I should go back and revise multivariable calculus, intro to probability etc. Because I notice I didn’t put in enough of the work when I had those subjects a couple of semesters ago
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  5148. thank you for work
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  5149. One of my favourite maths teachers on youtube told me about you Before meeting people like him and you maths was just a nightmare for me although I used to score in school but still I never loved maths so much Thank you sir.
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  5150. Hey Math Sorcerer! Do you think that someone that read Calculus by Spivak can jump straight to the Buck book or should I start with the Fitzpatrick one?
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  5151. Was just literally studying about this exact definition for multivariable analysis. Amazing how you always upload stuff I'm working on
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  5152. Life is about doing what you love and enjoy, so as its something you want to do you just do it. The question "is it too late?" begs another question 'too late in terms of what?' Honest digging shows it is man's need to be alive after an attainment that has something to do with his feeling of validity of present action - to be there to cherish the success. I would urge a shift in attitude, learn math because you love it, there is no set ribbon at the end which a degree tries to dupe us into. But it may be a good motivation tool sometimes as it gives you a target. Length of our lives remaining does nothing to measure the immensity of being alive now.
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  5153. Hey Math Sorcerer, I've been watching your channel for about a year and just wanted to say I'm always inspired by the advice you give. You've taught me to believe in myself more, which has been a big deal in math (taking analysis right now) and just life in general. Inner peace to me is when you just finished writing a proof and everything looks so organized and complete. There's something really nice about that. Thanks for the video
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  5154. Why did people dislike this? You talk clearly and write clearly, did you get something wrong? Wtf
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  5155. Limitless source of knowledge and sound advice. The reverence with with you flip through those pages, and the purposedness of your sailing through the table of contents, makes me get emotional. Thanks for your generous sharing of all this !
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  5156. As a 'EE student in the early 80s our instructor for Transmission Lines, high frequency EM theory recommended the Scharms by Robert Chipman (1968) and his notes. We had no other formal text. Its one of those college references that I've kept as a professional.
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  5157. I'm from India and happy to know that you ... mension jee advanced... Love you from India bro ...
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  5158. dude.. you just taught me this in 3 minutes. god bless America for having teachers like you
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  5159. Thank you Math Sorcerer. Another excellent video.
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  5160. I'm gonna find susana and merry her
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  5161. I swear e is always lurking in the shadows whenever something is done infinitely many times, each term getting smaller and smaller.
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  5162. I am glad I found this channel. So inspiring. As a software engineer I want to start getting back into math now.
    12
  5163. Old books with that slightly rougher typeface are a great pleasure! I absolutely love the look of printed books from the 1900's-70's, especially when there are formulae and pictures
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  5164. We appreciate your insights. We will always support you.
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  5165. It’s fun I have more than 20 real analysis/Advance Calculus book and along with YouTube and some fb math groups.. i do real analysis in self study.. I don’t know why people pay for colleges
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  5166. Say you weren't strong early in your degree journey, you didn't really learn one of the foundational courses very well, but you passed it by the skin of your teeth after binge studying. You want to get into grad school, at what point in your degree do you think it is a good idea to finally teach yourself the foundational subject you aren't terribly strong in? Luckily I can say I'm not in this hypothetical situation, but it seems like a useful topic
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  5167. you are not only a GOAT but your also a way of living. Im working at the cafe but im going to quit because I love math and physic and I want to take an action for that.
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  5168. What you said is completely correct.Thank you!
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  5169. All a stock chart is a reflection of human behavior. Technical Analysis is great. It’s a useful tool. I’ve always liked value investing the most though. Everybody has a different rhythm to trading but TA is handy to know.
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  5170. lol I'm a 37 year old applied mathematics/physics undergrad at an Ivy League... don't worry too much about age. Also, most people took the pandemic off, so there's a ton of people your age in class right now. I thought I was going to be out of place and while I sometimes do feel a little out of place, I also have classmates in their 60s and 70s as well as the odd 14 year old stupendous intellect. Soon you realize most people don't care. We average out to a great crowd. The old ones have knowledge the young ones could use. The young ones have lessons the old ones can learn through observing them. We all get a big lesson in humility every other day. So no matter how old you are. There's a place for you here.
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  5171. 6 years later and still helping people! Thanks.
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  5172. I appreciate Sam did this to save her grade which is commendable, however she has also saved her health (physical and mental), which to me is much more important. The older I get, health is paramount, and I personally think nothing is with losing that for - that can be irreparable, a course can be taken again. It isn't going anywhere. Sam will find it easier the second time around as she has acquired knowledge, not only in mathematics, but in life and what to expect from the course. She has listened to her instincts, and it's when we don't do this that things go wrong. Good on you Sam. Best wishes.
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  5173. Thanks for another insightful and relatable video! I have gotten so many exams back that I expected 100s on and was ashamed to see my not perfect score because lo-and-behold I put the square root of four as FOUR. I’ve learned to take as much time as possible on exams going over each small computation again after I have gone through it the first time. I have found and fixed many small mistakes because of this tactic.
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  5174. I am in a similar situation with one of my engineering courses. The professor is a nice guy overall, but his English is not very clear which compounds with his teaching style to make the lectures essentially useless. To make things worse, I don't generally learn a lot from lectures. I appreciate the advice you provided here. I think I need to really work on developing more of that self sufficient attitude when it comes to my learning outcomes. Thank you for the excellent content.
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  5175. This helps, I don't have much of a social circle these days. Though as my family buds and we all grow, I have responsibilities that are always growing and evolving. I definitely need to remember that I am not other people and that I should take more daily self care. Thank you, I appreciate your positive advice.
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  5176. Whenever I see a calculus with -infinity to +infinity I get horrified😂
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  5177. Hey man, I really needed to see a video like this. I'm 22 years old and I'm trying to self study math because I really enjoy it and sometimes I feel like I'm behind compared to other student (I'm in college, but during high school I really did not care about math so I don't remember anything pretty much about it). Truth is, it's really hard sometimes, and some days I fell like the process I'm making per chapter is very small and I frequently question my capabilities or my intelligence. Seeing this video was very beneficial to me, it gave me motivation to endure the hard times and after watching I feel more confident with my choice of learning by myself. Thank you for sharing your thoughts on this topic. Have a good day sir.
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  5178.  @hanchisun6164  Oh yeah for sure. I worked pretty hard in some of my high school classes as well, and I'm sure that has helped me a lot in my college classes. I just regret how hard I worked at some points, which didn't let me have fun with friends or pursue my other interests outside school as much as I wanted to.
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  5179. Did you know that "mho" is intentionally "ohm" spelled backwards? (Admittance and Impedance are inverses of each other).
    12
  5180. 1) Practice what you already know. 2) Perfect it to the point that it becomes easy and automatic. 3) Challenge yourself with something similar to what you've already mastered but is still sufficiently different and novel.
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  5181. Beautiful new shelf! I recently had the same problem of chaotic stacks of books piling up everywhere, but thankfully I was able to buy another bookcase with money I won from a math bet! 😅❤
    12
  5182. IKEA: The Math Sorcerer's Nightmare.
    12
  5183. 😂😂😂😂
    12
  5184. Russian physics books are really on another level In India the highest book for physics IIT JEE is I E irodov
    12
  5185. The easiest formula is, well that is to get to it, sit down and start.
    12
  5186. this video feels cursed, like i get an impending sense of doom after watching it as though im going to die in 7 days
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  5187. I remember that calculas book back in hs.
    12
  5188. What do you think of the Art of Problem Solving series?
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  5189. This person's deterimination and enthusiasm is amazing, however, I think 15 hours a day is a bit overskill. Like the Math Sorcerer said, you can burn out. I love math as well, but even spending 2 hours a day can have me banging my head against the wall (I also have classes and a job right now.) Remember to not overwhelm yourself. It is great you have such a deep passion for math, but burn out is a real thing, I have done the same thing with so many differnet hobbies where I do almost nothing but that hobby and I start to dislike it. It can happen with anything, it has even happened to video games for me, where I did nothing but play video games in my free time for like 2 years in highschool and it started to make gaming less fun. Remember to take breaks, give your mind some time to rest. Make sure to get adequete sleep every night (you learn better and remember things better if you get good sleep. You need sleep for knowledge to move from short-term to long-term memory!) Don't give up, but I do think that 15 hours might be a bit overkill. I'd say most math students spend about 20ish hours a week on math and it takes 4 years to get an under-grad education (realistically 2 or 2 and a half years without all the other classes you have to take). So doing it 15 hours a day? That is 105 hours a week, assuming you learn at the rate of an average math student (though if you have that determination you're probably also learning faster) then it might take about a year for you to learn "under-grad math." Of course there is more than just under-grad math, you're not gonna be an all-knowing math God in a year, but you could attain the knowledge of a graduating under-grad math student in a year with that kind of time commitement. Keep going, keep doing what makes you happy and what you're passionate about, however, don't forget that there are other things in life to enjoy! Friendships, games, books (that aren't all math lol), other subjects like Physics, Biology, or even humanities like English and history. It is okay to enjoy multiple subjects and look into them! I am not a physics major, but I still love reading books about physics and even teaching myself some physics here and there. Keep your passion, keep going, you'll be a great mathematician one day, but don't overwork yourself to t he point you start to dread opening a math textbook!
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  5190. Thanks a million:) I dunno how I'd finish off my math worksheets without this!!
    12
  5191. A big part of genius is to do something no one else has done. Be creative and innovative.
    12
  5192. As someone who is trying to go to grad school in math and in my 30s, this is reassuring. Really looking forward to the experience, I hope COVID doesn't change things too much.
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  5193. I feel like I have discovered a hidden treasure when I see this youtube channel HOLY SHIT
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  5194. You should also take a look into 'Infinetismal Calculus ' by Lamb-a classic british book used by octogenerian mathematicians -including myself.Regards Dr Sabapathy.
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  5195.  @TheMathSorcerer  I thank you back for your work and initiative. You know, I'm a "math activist"; I would like to promote math everywhere. Promoting the best way to teach the noble discipline. Promoting ideas on how to improve math teacher/professor salary, etc.
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  5196.  @TheMathSorcerer  I thought you were going to give me dating advice :(
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  5197. Where the hell was this channel my freshman year
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  5198. when you read books as a hobby, do you take notes or just read? you are a great source of inspiration!!!
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  5199. Thank you so much! This was so helpful. I knew how to determine if a limit diverges but I wasn't sure how to write a proof. This was exactly what I needed. Greetings from Chicago!
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  5200. I've started solving problems from Paul Heitz's 'Art and Craft of Problem Solving' and facing so many difficulties. What should be my approach to those problems?
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  5201. I'm starting my third year as an undergrad math student at michigan state and I'll be taking my first analysis course in the fall. I've been reading Understanding Analysis by Stephen Abbott (I saw another comment mention this text; it's great for an intro to analysis) to prepare myself but I'll definitely have to check out the books mentioned in this video. Appreciate the video and love the channel!
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  5202. It teaches me not only about algebra, but also how to be serious. But it's kind of assuming that you have some knowledge of algebra before reading this book. For example, when introducing cyclic groups, he used some facts of Chinese Remainder Theorem without any reference to ring theory.
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  5203. Physics and mathematics at higher levels are much harder. I say that as an EE student that loves physics and mathematics and damn near everything.
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  5204. I recently got this book called The Geometry of Physics which is one of the best books on differential geometry. You should really review it! It is by Theodore Frankel
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  5205. Well, okay, she was a good mathematician, BUT we need to ask ourselves how DIFFERENT would our Mathematical World have been without her. If it wasn't her System of Algebraic Protocols (just nominalizations, right? But the job still would have gotten done, right?), then it would have been somebody else's protocol (notice we still act like a mule tied up between the Newtonian Notation and the Leibnitz Notation for Calculus and decide between the two depending on whether we have writers cramp or not). So I can't see our World being all that different because of Emmy Noether. But let's go back and look at Maria Agnesi (1718-1799) and how she had a huge sweeping influence on the Mathematics of her day, which we must note exactly preceded the Industrial Revolution and may have had a huge causative influence. What Agnesi did was that she wrote the First Mathematics Textbook including Calculus that went beyond almost incomprehensible abstractions (all that Grad School Stuff that we hear so much complaining about even long after the Students are able WORK with Real World Applications, which would be the important thing if you are contemplating an Industrial Revolution where thousands of Working Engineers on the Ground need to work with this stuff and not just few stuffed shirts in Bonn or the Sorbonne. Her book was a sudden rave and soon translated into every European Language. I heard a British Mathematician took leave from his Chair to go on a years Sabbatical... to learn Italian so he could do his own Translation of Agnesi. Previously in regards to Mathematics the Academics had conducted themselves like a informal Free Masonry and had intentionally kept their Knowledge in what they must have understood to be a kind of impenetrable code. Madame Maria Agnesi broke that Brotherhood wide open and we can judge on her effect on the World by recognizing that all across Europe, from her time forward, Classical Eduction (Latin and Greek) declined and the Mathematics Departments took off like a rocket. SHE was the engine behind all of that. The Industrial Revolution had been the Agnesi Revolution. But Emma Noether made a few convenient street signs for Algebra.
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  5206. I have my Analysis 2 final tomorrow morning. This video really helped me. I've never thought about finding the max of the function for this kind of proof (I always struggle to find an n not depending on x), that's one more trick that I can use. Thank you!
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  5207. This video should be for anyone studying any subject, because all of this applies for me while self studying for data science. Great video, wish it could reach a broader audience outside of math.
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  5208. My recommendation for courses would include courses on statistical theory, regression, machine learning, non-linear optimization, and a course or two in programming. Most jobs coming up for applied mathematicians skew heavily towards data science.
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  5209. Do you think that doing physical exercise improves your performance in math?
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  5210. Thank you so much. In my opinion, you really need to bring up such books more often. You should also then tell us how you continue your journey into maths. These are the sort of things I am looking for because I needed to know how to do maths, but didn't know how to study. Unfortunately, the teaching of today is going so fast that there is hardly time to teach students who need to gain the confidence to do maths and do well. This is wasting so much potential! So, please continue to teach us how to teach ourselves and find resources and the places where you can ask questions whenever you hit a rock.
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  5211. We appreciate your dedication and consistency on this channel. Merry Christmas.
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  5212. This video was unexpected!! Nice video:)
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  5213. I will be 70 this year. My grades in grade school were not the best. School and grades can actually make you accept that you can't do it. "You are just not a math person." As a child of 10, I wanted to understand how things worked, for myself. I have been doing self study for 60 years. I didn't let my grades stop me from gaining understanding everywhere that I wanted. The library was my refuge. We would not have the Internet until I was well out of college. As a former mediocre student, I have 15 patents and have created technologies that only I could because of my self study. I have been called brilliant by my intellectual heroes and, I like to think, I have made a better world in some fashion. Don't let schools tell you that you are "bad at math or science". Take control of your own learning. All learning is self learning. Schools can help you focus and give you motivation because you invest in tuition and books. But use the Internet. If you find yourself in the dark side, step aside and learn something else. Return as you wish. You can do it.
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  5214. It also makes a difference if there is a passion within you to do math. That makes math something to enjoy rather than something you need to do. It's like playing basketball. It doesn't matter whether your opponents are much taller or better than you, or whether you will lose the game or not. You just go out there and play because you are looking forward to the experience. You feel fulfilled and satisfied afterwards. Same thing with math, you need to have that level of excitement when you do math. When you have that kind of motivation, both practice and time will become automatic to you. It will become top of your priority. It will be something you look forward to in doing everyday without any fear whether you get the right answer or not.
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  5215. Python isn't my favorite. I miss my {}'s and ;'s!
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  5216. I like to do the pomodore technique with 45 minutes of studying and 10 minutes of a break. And in my breaks I like to read something or getting some light exercise. Also I like studying better in my dinner table instead of my bedroom, I think that seeing my bed its too distracting for me hehe.
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  5217. I would like a video titled “The 10 things you’re doing correct in math and should keep doing”
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  5218. For sure 💪
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  5219. 🤣🤣🤣🤣
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  5220. I'm studying from this book and I've been enjoying it! I use Larry Smith's Linear Algebra as a reference. :)
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  5221. Hooly GIGACHAD you've been pumping out a bunch of high value to the point solution content
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  5222. right video for the right time!i needed this soo bad!thank you
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  5223. in order to become an expert in a technical field it takes several years of artfully directed dedication (controlled madness) as well as the random factor of being given the opportunity by employers/life to work consistently in the specific area. long term goals help but not as much as being persistent enough to overcome the numerous adversities that will show up along your arduous way.
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  5224. I love books with examples and key answers.
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  5225. This is such a superb video, Math Sorcerer!!! Simply marvelous!! Thank you so much for producing and posting!!! :) :) :) :)
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  5226. This excellent advice can apply to any degree!! (Except the part where people call you a genius 🤣 )
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  5227. I love when I have to prove that a solution to an ODE exists and not have to find the solution in the end
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  5228. Thanks for showing us a little of your day Math Sorcerer. Each book you showed had its own beauty, but that ‘Differential Equations’ book by Forsyth is the winner for me. Beautiful cover design and color. It has a sense of quality, age, and looks to contain treasures within its pages.
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  5229. And the Oscars goes to ........ TheMathSorcerer 🧙‍♂️ 🤣🤣🤣
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  5230. I'm so sad, live in the third world and be poor sucks a lot Get me out from Argentina please
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  5231. I know this is a math channel and have watched intently. But as I’m older, my main goal is to wake up , keep healthy, enjoy the only earth there is that I’m on ,and , give love . Everything else is further down on the priority list.
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  5232. Wow!!! Sometimes I wish I could drop out of school and just learn what I want. School can be frustrating at times, memorizing irrelevant information just to get tested and a few months after that forgetting the information, because it is of no use to you. I think there is a problem with our education system...
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  5233. Mastering any skill is hard.And math is particulary challenging.The people, who are doing it, just don't admit it. Many, that I've met, are just too proud and claim that it all came easy too them.When, in fact, they had loads of help, focused on math almost completely alone (neglecting other parts of their lives) and claming to be enlightened by a mathematical god.Honesty is rare among mathematicians, regardig the effort they are putting in math.
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  5234. Wait, you're telling me people have friends??
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  5235. I love this book! Its not too advanced, so beginners can follow the proofs in this book in my opinion. But Lang has a bit different argument about polar coordinates tho
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  5236. A book for Fourier Analysis please
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  5237. I was waiting for this review. I use this book along with other analysis books because Thomas' Calculus addresses topics like sequences and continuity intuitively, even the proofs are written without analysis being a prerequisite to understand it. It is written mainly for engineering students rather than math major students. Moreover, it contains many examples and exercises.
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  5238. Thank you so much! Been so stressed out with online classes! Super helpful!
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  5239. Master, your videos help me a lot in this journey of Math and Statistics. Greets from Brazil. Loved the background sound!
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  5240. Thank you so much, this video came in the perfect timing when I needed it the most!
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  5241. I have made the silliest of the silly mistakes, and that's why I never get that 100 in Math I sometimes dont 9 marks of silly mistakes, sometimes 12, sometimes 7, and they're like..addition errors, misunderstanding my handwriting 😂, and the greatest of the greatest...Rat Puppet's special silly mistakes. Rat Puppet's special silly mistake include doing things like skipping 1, or 2, and even 3 questions accidentally because you're in such a hurry to finish. Silly mistakes are a really vital part in my math life😂 I'm glad you made this video, very less people have a video on this topic. And yes, Matrices were always a killer for me, it had super easy problems, but at the calculation part, I did LOTS of silly mistakes!
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  5242. Hello Mr. Sorcerer the idea of Sorcerer Podcast is such a great idea you should invite some characters of the World of Mathematics too dear Sorcerer Good Luck and THANKS for share as always 😉
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  5243. One small suggestion for self study or classwork that helped me was to notice and list topics or techniques where I felt shaky and often made mistakes. This helped me seek out ways to shore up my understanding in these areas. These were entirely personal blanks in my approach. By the time I was taking Calculus 3(US) I would enter an exam thinking , "I'll be fine if they don't ask about topics A and B from my list." Of course, those topics figured prominently in some exams and I was very glad I had wrestled with my confusion.
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  5244. Could you by any chance make a video on "losing motivation after the online class switch"? I'm currently going through it right now and I'm sure other math folks are as well.
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  5245. You really have passion that you can share and I feel . This means a lot. Love your work. Be happy and stay safe !
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  5246. Take every math problem as a challenge... And develop an attitude of not giving up... Let it take time.... Frequently go through basics... Try to understand and relate concepts asked in a problem... Make friends with same attitude and who are open to discuss on the ideas to solve the sum....
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  5247. Playlist: necessary but not sufficient conditions for success in math
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  5248. I'd vouch for this. My professor also used this book in our discrete math class, and it was indeed a great book.
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  5249. This was beyond helpful, I really appreciate it
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  5250. Oh man... work problems from calc 2 were the absolute worst. They were so annoying. On the other hand, I loved infinite series too!!’
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  5251. What an interesting way to hold a writing utensil. I don’t know if this was because you were facing the front and had to write sideways but I actually use that grip as my normal writing grip lmao
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  5252. Fascinating book! I recommend a book rest, antique book collectors use them. They keep the book from completely laying flat and thus stressing the spine and causing it to split
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  5253. Tried a similar question from my textbook this morning and took me 2 tries before I got the correct answer, then I looked back at my first attempt and saw how stupid I was
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  5254. I do this every day. I take it seriously. It’s insane hard work and dedication.
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  5255. I was ROTFLMAO especially with the first tip (tell them how easy it is and then don't help them). In general, just make them feel incompetent. After all, we all know how much we liked it when someone else did it to us!
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  5256. damn that was it???? I spent so much time AVOIDING this question on the homework. Thank you math sorcerer
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  5257. My analysis professor told everyone over the zoom lecture today that only two people deserve to pass his class and that the rest of us will be getting an F and to reconsider dropping out.. sometimes when I think about my future doing maths, I think of that 😪 I just want to know how to problem solve and do math.. I want to think like a mathematician, but then I think of my analysis professor and I remember that I have no future in math.
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  5258. I used "Elementary Differential Equations and Boundary Value Problems" (3rd ed.) by Boyce & DiPrima in a DE course offered by the Math Department; and "Mathematical Methods in the Physical Sciences" (2nd ed.) by Boas for the Mathematical Methods course offered by the Physics Department. They both have very applied approaches to the subject. "Partial Differential Equations in Physics" by Arnold Sommerfeld is based on his lectures on Theoretical Physics. It, like other volumes in the series, illustrates the thought-processes of a truly great mind; he was one of the strong bridges between Classical and Quantum Mechanics.
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  5259. Spivak passed away in 2020, when he was 80 years old.
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  5260. My Wallet: What did it Cost?? ME: EVERYTHING!!
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  5261. may i know, is it divergent or convergent? im sorry but i kind of confused, thank you.
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  5262. cool video, laughed everytime you smelled the books! I'm a senior now about to graduate soon but have been watching you since freshman year. It's true, no matter how hard it is you can get through it.
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  5263. 0:04 No matter how good we get, there are always higher levels to which we must ascend. 💪❤️
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  5264. I think I understand you perfectly. This is the recommendation that an experienced runner would give to a beginner. Before running a marathon, first take a walk on the court. However, even a lap on the court requires some items and rules. It is necessary to be shoes, hydrated, to stretch and not to go too fast.
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  5265. Explained much faster and better than my teacher ever did. Thank You!
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  5266. A long time ago,Langs book basic mathematics was my first encounter with maths
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  5267. We appreciate the amount of information you've given us. God bless you always.
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  5268. Sometimes I think the simplest advice can help when we're overthinking. "As long as you ain't dead, you're alive" might be one of my 2025 mantras.
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  5269. Thank you so much for recommending such wonderful books
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  5270. The study of compiler construction is an advanced undergraduate course or graduate course in computer science. I taught this subject for a few years using this book. It is the standard text in the field. There are modern advances in machine technology. intermediate code generation, libraries, etc. that are not covered in the book, but the book does take the student a long way towards understanding modern compilers. It is indispensable knowledge for a complete computer science education.
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  5271. Being a mathematician is not different from being a priest. Your job don't end after leaving the office.
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  5272. Such a cool miniseries...same applies to programming I guess...yet when it come to math and building models with cryptic looking equations, defeat seems so close...wish I have this hyperoptimism you are wired with. Thank you
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  5273. I'm starting calculus in Italy next Fall. Here it's called mathematical analysis. Can't wait!
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  5274. Hats off! Congrats!
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  5275. I love this video talking about Tao’s book of analysis.
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  5276. Thank you for posting your lectures! You have a very likable and friendly personality.
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  5277. I purchased this book because of your review. I was hesitant to purchase this book because I have other books on proof writing. However, I am so glad that I found this video review and this book. The writing, humor, and exposition make this an incredibly easy-to-digest book. This book is a great tool that you can use to build your knowledge of proof writing and mathematics from beginner to intermediate and beyond. Thank you, Math Sorcerer, for such a great review!
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  5278. Through planning and scheduling do what you are able to reduce time pressure during the actual learning process. During the taking of a math course is not the best time to learn the math material. Taking the course is the time to demonstrate and show off one's knowledge of the material that one has learned before taking the class. Counterintuitive though it may seem, autodidactic efforts are when most math is learned, and accomplishing that before a class begins will allow the class to be both informative and pleasurable.
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  5279. Mechanical PE here, and yes I do everything in pen. Every engineer pursuing licensure will likely have a similar book. Up until recently, the exam was pencil and paper based and open to almost any reference material. These books are meant to provide an overview of the discipline. Each field has its own version. The one in this video is the Electrical Engineering Reference Manual (EERM); there are also MERMs, CERMS, etc. If anyone in the comments is pursuing licensure, I wish them good luck!
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  5280. Tomorrow isn’t a promise and life happens fast as forked lighting. You’ll wake up with a mortgage, family, and boom twenty years are gone. Don’t have regrets. If you have to postpone your academic endeavors you should practice till it becomes like breathing air. That way when you get in it feels like a breeze.
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  5281. Very nice. A combination between a fundamental limit (not continuous) in order to get a continuous function.
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  5282. More helpful than the math teacher..
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  5283. I personally think there are few ways to remember the info you learn. Practice daily and use the info as you see in the real world ( nature is filled with math). Making flash cards also help.
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  5284. muchas gracias!! las matemáticas rompen barreras !! no se ingles pero aquí estoy con esta excelente explicación
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  5285. You were my Calc 2 teacher around 2012. That was a fun class. I ended up in Comp Sci and have an enjoyable career a software developer
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  5286. This is so helpful, thank you!,
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  5287. In my first calculus course, the professor (T.O.) stated that anyone that got an A in an exam would get an A for the course. This was because his exams were so difficult [and the text (Schwartz) was so horrible].
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  5288. Thank you so much sir :) Your 1.30 mins video is better than my 2 hours lecture
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  5289. your excitement is refreshing and reminds me to do my best, thanks both jerry and our sorcerers
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  5290. Could you make a video where you discuss some of the classes you took in undergrad and grad school. Would be very interested to know which some of your favorite courses or courses that you enjoyed the most were. Thanks I love your videos!
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  5291. I have a book "Differential Equations and Linear Algebra" by different author, Gilbert Strang. I wonder how two books differ from each other.
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  5292. My man just clarified my entire career path. Thanks sir!
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  5293. Unfortunately, I lost the capacity to take grades seriously when 2 of the dumbest people I've ever met graduated in the top 10 of my class. No I'm not kidding. in high school at the very least you can get a 4.0 even if you lack all critical thinking and all the info goes in one ear and takes a few weeks to go out the other.
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  5294. This is crazy man. I have learnt more derivative in a minute then I have in 3 years. Have a good one mate
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  5295. I'm studying for my final right now, and since the lectures didn't make sense I came to youtube. I've been learning more by binging your videos than going over my dozens of pages of notes! Your videos are phenomenal, thank you!
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  5296. This video really resonated with me. I didn’t pursue a graduate program until later in life. Like you said in the video, when I revisited topics I learned earlier, I understood the material better. Math is available to anyone willing to invest their time and energy into learning.
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  5297. For me, the hardest math class was intro to proof writing. Before that class, all the math classes were just computational, but proof writing was really different. That class made me feel like I know nothing about math whatsoever, but after that class I took real analysis 1, and I found analysis to be not as hard as some other people say it is. I think it had to do with lack mathematical maturity and not being familiar with proof writing. But given time, anyone should be fine with those class. Sometime it takes while to understand some ideas but when it does, you really understand it.
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  5298. It''s new year in a few hours! I'll start doing this a bit more :) Good luck everyone else on your goals! EDIT: Completely agree with the video. Tip for self studying: don't skip anything. I know it sometimes may be tempting. The feeling of "Oh just a bit more and I'll be learning partial derivatives!!" but try to enjoy the moment, not just the expectation. You can't know partial derivative without derivatives etc. So just hold tight and try your best!
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  5299. Structure and Interpretation of Computer Programs (SICP) is also a fairly popular Comp Sci/Engineering book of cult status. Really shows how when you grow a language from a very small flexible core it is inherently flexible as a whole.
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  5300. A great video! Three and a half minutes of priceless which you have shared with the world for free, this is what makes the internet great. Thank you for taking the time and effort to make these inspirational pieces, I am self studying Mathematics and they are as important to me as my text books . I love the subject and despite the difficulties I am determined to keep moving forward, and with your help I am succeeding.
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  5301. I am web+software developer... I like studying Mathematics and Physics as a hobby
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  5302. Those books were made when America was thriving. The 70's was the time of the introduction of "The New Math" with " sets" being taught for the first time to elementary school students..
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  5303.  @TheMathSorcerer  holy shit same!
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  5304. English is my first language, but now I speak Astrayyun
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  5305. How do you go about solving a huge word problem when the solution is two pages long? let's say you have the problem already solved in the book, do you check your progress in chunks or you don't look the solution at all until the end? often there are so many steps that it's impossible to guess which path you are suppose to follow if you don't look it up.
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  5306. My favorite book on investing is the little book of Common Sense investing by John Bogle it is probably a 10 out of 10 for me, please review that book that is amazing
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  5307. Did the Math Sorcerer's reverse aging?
    11
  5308. I learned out of the Spence book for my proof-based course it a pretty smooth read.
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  5309. Rudin's texts are good for review exercises.
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  5310. In my country. We take Thomas Calculus For calculus
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  5311. The problem with failure in math is that some may run out of ideas on how to tackle a problem, how to learn the subject. If teacher isn't helpful, if the book isn't helpful and the Internet isn't helpful then what do you do? You break up. Suddenly world doesn't look as great anymore. You decide to give up because your problems with math keep on piling up. A lot of math teachers are very unforgiving if you're falling behind. The problem of failure with math is that it's not a subject like history, you can't just force yourself to memorize stuff and expect to be able to solve the problems through knowledge of the theory, you need an understanding of it. Without a good teacher, IRL or on the Internet, or a good source of information, learning math suddenly becomes random, you get some stuff immediately, some after a night's sleep and some never.
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  5312. Love your channel. So laid back and cool. Helping me so much with my math major. Tysm!
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  5313. The definition of intelligence is how long it will takes to learn something.
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  5314. we need more of mathematics in stocks.
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  5315. I would love it to see a video where you go search for such peculiar books
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  5316. thank you, your video was simple, straight to the point and easy to understand!
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  5317. I am a business major who enjoys studying and comprehending the universe in my spare time. I have over a ton of various books that I bought for really cheap, and I really love Design of Machinery by Norton. I have learned so much from this book about linkages and various mechanical parts and how to analyze them. Keep on making videos about engineering textbooks!
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  5318. Are they suitable if someone just started calculus 😅
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  5319. bruh this is my first time commentin on a video on yt u have noidea how much uve helped me with this God bless u
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  5320. Dude is light itself
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  5321. Your videos are amazing!
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  5322. Dear sorcerer, can you please recommend the best books about the fundamentals and axioms of mathematics, logic and set theory?Thanks in advance
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  5323. There's an old joke that mathematicians are formalist on Sundays and Platonists Monday thru Friday. Also the title of Velleman's book is of course How to Prove It: A Structured Approach
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  5324. Math Sorcerer's dishing out more great advice! 🙏
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  5325. As a student from Russian university, I can elaborate on the question in the following way: The educational system in Russia built in the way that, when you apply to undergrad - you apply to the particular major, and mostly, can not change it in future. So, for this reason, students from the top Russian universities majoring in math, physics or computer science, start taking math classes that require math rigour and understanding of proof techniques. So, if you are a math major in the top 3-4 Russian university, you start taking the courses with requiring math rigour from the first year. For instance, students of Math faculty of HSE on their first year are taking: Real Analysis(Including Lebegue Integration), Topology, Geometry(On the level of M. Audin's book), Abstract Algebra and Discrete math. And all that is taken mathematically rigour, with proofs of most of the theorems. Unfortunately, there is a drawback of such a system. If you are not the student that starts the journey into mathematics, physics of CS from the 8'th grade of the high school, taking good places in olympiads and so on, it is very hard for you to be accepted to undergrad in math major in the top universities. And, to be honest, the mathematical education in 2nd tier Russian universities is not so good.
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  5326. This one isn't as popular (maybe not at all) and I haven't gone through it but I've heard good things, Abstract Algebra by Keith Nicholson you should check it out and do a review!
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  5327. self learning topology rn
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  5328. Thank you so much. I am currently taking an asynchronous course in Multivariable Calculus and I find myself spending hours on just one problem or topic. Last week I was stuck on a few problems from my textbook and couldn't see why my answers were wrong. I spent so much time on these problems, only to find out later that the answers in the textbook had typos :(. I will try to apply what you talked about to avoid this happening again in the future.
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  5329. Those Stewart books have a ton of math in the more advanced exercises as well. Solutions are readily available online.
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  5330. When it comes to the world of investing, most people don't know where to start.fortunately,great investors of the past and present can provide us with guidance
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  5331. Please do reviews of engineering and applied mathematics books. My favorite videos are the book reviews you do.
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  5332. im the exact same age as you and i wanna do the exact same as you...im in the moment of my life where im regretting wasting my time and need to stary being serious
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  5333. The "Gut Check"!
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  5334. I'm not sure where to ask this, but do you have any advice of things I can do to prepare-myself for higher-level math, or to make myself better equipped to study math at the graduate or PhD level. I'm a junior in high-school, but I have taken Linear Algebra, Diff Eq, and i'll take calc 3 in the fall, and take abstract algebra the spring of my senior year. I'm obviously moving at a quick pace, and I was wondering if there are things I can do now to prepare myself for math beyond undergraduate courses. The best way I can phrase it is that if someone wants to be a professional musician, they can practice, and it make them more likely to succeed; is there an equivalent to "practicing" to prepare myself for higher level math.
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  5335. I love all his Linear algebra books ...and I love springer and the yeARLY yELLOW bOOK SALE
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  5336. OMG I tried this for so long! I didn't think about subtracting first. Thanks so much
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  5337. It's like a bible!!
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  5338. hey thanks! i hope more people find out about your channel :D
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  5339. thank you so much! this seemed super complicated but your clear explanation makes it seem so simple
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  5340. Lol 19 is a baby. I failed to get into med school thrice. Somehow made it on my 4th attempt and I was 23, the age people are when they graduate in my country. This was a huge source of insecurity for me and I would go into long bouts of depression till my roomate told me "Dude, you got through. That means you're capable of becoming a doctor. Once you're a doctor, you're a doctor, it doesn't matter at what age" I got my shit together and worked harder than ever. Finished near the top of my class and 20 years later, i couldn't be happier. Those 5 years seem like a blip. Anonymous just focus on being thr best you can. You can't change the past, so make the most of whatever you can today. Now. You're only getting older. If you regret not having done something by 19, imagine how much more you'll regret not having it done by 29
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  5341. I work with students with disabilities at my community college and am totally glad I found your channel. This will be great to supplement their textbook and lectures!
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  5342. Great video. Hope it influences my son to focus and pattern his study more - you handle the key points really well. He's quite intelligent, but it's as though his mind needs to be corralled - noise and distractions removed ... and the results of a lack of focus affect self esteem - spiraling the whole process in the wrong direction. You do great service with this video. Jocko Willink did a good video called "Discipline = Freedom" that you might enjoy, indicating Discipline to get something done trumps waiting for the Motivation and Emotion to stir, in order to get up and do it. Thanks again ... also, I like seeing a math channel succeed ... some hope for humanity.
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  5343. Mathematics is the mother of all sciences.
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  5344. Hello, I would like to ask, how does one solve these kind of problems, if the formula is not true? Our professor showed us some (this may be lost in translation) "kontra-example", which disproved the formula.
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  5345. I am a math teacher and I am learning a lot from you. Thank you Sorcerer, from India ❤️
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  5346. Nice!!! Totally agree. That what happened to me, but I started with Pre-algebra, and now I'm into higher level math.
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  5347. I got motivated after I watched your video, you said you were not good at math in high school, but you can do it by working hard and believing in yourself.
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  5348. That's a good one😂
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  5349. Another nice candidate for a Dover reprinting!
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  5350. I am literally starting the calc series tomorrow.
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  5351. I'm intrigued, tell me more about this Richard guy. I know how tall Larry was, but what's special about the other guy?
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  5352. Glad I found this channel. I'm a nuclear engineering major and I'm in my reactor physics section of my fundamentals course, and I had no knowledge of hyperbolic trig ratios, the laplacian, or bessel functions which are super important when calculating the neutron flux density of various reactor geometries. I'm also in linear algebra this semester and I feel like I have no idea what is going on. Thank you for the reassurance that I can in fact learn all this on my own.
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  5353. I want to be an expert on algebra. There's other things I want to be an expert at--but since this is a math channel, I only mentioned algebra. 😄😄I don't know where that passion for math come from, but I wished I'd found it sooner. There is so much to learn. I wanted to be enrolled in online program for teaching math in junior high, but I'm not sure I have enough to time to learn the math. Mostly, I'm not sure if I can learn Calculus by July in order to be ready to take math tests
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  5354. How to learn advanced math? Very carefully.
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  5355. Thank you very much for explaining how to get the denominator like that. That part confused me very much while working on the section. The professor said something along the lines of "you have to balance it" then wrote in a number lol.
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  5356. Finally I get my favourite class and teacher and also channel
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  5357. After watching the first four and a half minutes of this latest video of yours, Math Sorcerer, I was HOOKED and have just ordered my own copy for my extensive private mathematics library!! Thank you lots, MS!! You've done it again!!!! :) :) :) :) :) :)
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  5358. People spend watching Korean girls making study vlog in which they 80 % time eat and go cafe to try different foods. People who watch this king of video waste there time but this genius Youtuber give some really good advice and tricks for students
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  5359. Taking breaks are one of the most underrated, understated, under recognized things you can do improve your math. Thank you.
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  5360. First in! Love the holistic healing vibes in the bg.
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  5361. Man studying for this DE test without a textbook is a PAIN. You're a life saver. Great video
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  5362. This guy has so much enthusiasm for maths that he's willing to spend his own time telling others how great it is and how they can be great at it too. That is exactly the kind of person he describes is in this video. So I'm with you Anthony, the maths Sorcerer is now officially my role model too. I just need to know his real name now...
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  5363. You should review a book called a first course in probability by sheldon ross.
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  5364. Agreed. It takes a huge amount of time to read a math book. Compound this with trying to do at least 85% of every exercise set without the solutions, and BOOM! It just takes so much longer. This is particularly true for higher level maths such as Topology, Real Analysis, Abstract Algebra, Functional Analysis. Is this a mistake?? Should I lower the percentage of problems from 85% to something lower??
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  5365. Math wizard is really out here saving lives. Thank you!
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  5366. My understanding of proofs comes largely from logic. It's good enough to read the first half of "Godel Escher Bach" by Hofstadter. For a more complete picture, "A Mathematical Introduction to Logic" by Enderton is pretty good. Generally, the mathematical standards are much more relaxed than the logical standards, so understanding that additional flexibility is probably best achieved via cultural osmosis.
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  5367. Where do you find these books at such a low price? Whenever I’m looking for standard texts, they’re all well over $50.
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  5368. Very impressive. Thank you for sharing😀
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  5369. For number theory again I recommend THE HIGHER ARITHMETIC by H Davenport and A PATHWAY INTO NUMBER THEORY by R Burn. The two should be read in conjunction
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  5370. Mathematics helped me understand that I am always parallel with women. Jk, good vid.
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  5371. I've chased plenty of big dreams and accomplished them only to find out that they were boring, or accompanied by a ton of drudgery. I envy those people who can be happy with any part of the process.
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  5372. Але повністю згоден що зависнути на чомусь, чи зрозуміти на половину і рухатист далі важливіше ніж впертись у щось незрозуміле і "захглохнути" на цьому. Хочу вивчати математику і все що з нею пов'язане англійською. Дякую що ділитесь. Фізика, математика, геометрія та географія, так само як і юриспруденція є послідовними цікавими і логічними науками ❤❤❤❤
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  5373. This is my first time of learning Cauchy Euler equation, unless I had forgotten it in the past.
    11
  5374. This guy taught me something that I had to understand by watching more than 10 videos.amazing.
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  5375. you are a true source of inspiration❤
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  5376. This book is very good for self learning you'll have a sequence of exercises that is very instructive from practical calculation to theory development, I'll say you'd want to do more after this naturally it's very introductory.
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  5377. Hey MS, you do a great job! You discuss topics and give advice on topics that no one else does. Great stuff!
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  5378. Hi, i love your videos a lot i watch all of them indeed though i don't study mathematics i study chemistry but your advices are useful and very helpful, i wanna ask you, I'm in second year and i have tons of books i feel that's too much to study how can i study all these books I know it's possible because obviously u have read more books than anyone i know 😘😘
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  5379. What a fun video! I am a retired chemist but, thanks to you, I am looking forward to take a dive back in the mathematics I haven't studied for a very long time. I used statistics throughout my career but not calculus.
    11
  5380. Can you do "How to become an Abstract/Modern algebra master in x a day"
    11
  5381. All hail James Stewart, the Lord of Introductory Calculus.
    11
  5382. "That is crazy. Totally nuts" - exact thoughts of mine when I don't understand math
    11
  5383. I thought you were going to talk about linear diophantine equations, but then I saw the length of the video lol.
    11
  5384. By far, my favorite subjects, and I don't discard learning Chemistry by my own one day.
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  5385. I fail many times, always return to problems and try again at solving them. If unsuccessful, I simply go to others for brain picking. Right now, I am looking at your home library. I am first looking at complex variables.
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  5386. Thank you for the video, professor... As a human being, who forgets things so easily all the time, your video made me remember that I have heard this advice before from people who are also references in their areas: "Start doing it, and you will get momentum". I had heard a champion phisiculturist once saying that many times in his career he did not want to go to the gym AT ALL. But he said exactly the same thing, "when you feel like that, just start moving, and the will to do the thing you have to do will appear WHILE you are doing it". And I had already put that to test before, and it works like a charm! No matter what you do, if it's directly related to the thing you are procrastinating, just start doing it, and you will eventually end up doing the thing you have to, but don't want to do at that particular moment. Thanks so much for being such an inspiration for us, math and STEM students. God bles
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  5387.  @RomanNumural9  This reminds me of good will hunting
    11
  5388. Professor, i used this video 3-4 times today, and i want to thank you for this, please make more of these in the future
    11
  5389. Yes.
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  5390. Depends on the problem too. Routine calculations, even in higher math, might only require a few minutes or a half hour. Straightforward applications of definitions and theorems might take a bit longer. Some difficult intricate proofs might take several hours spread across several days. This has to be true because there were many proofs in graduate school that took me that much time to absorb and the proof was already given. And then of course there are research level "problems" or open ended problems that might take several stages of exploration, conjecture, proof attempts, planning and editing over weeks or months. Andrew Wiles spent years on one problem. So, it depends.
    11
  5391. Badass beard dude, I'm growing my father time biker level stuff hopefully... Back in engineering school I thought calc 2 was the worst, diff eq smashed my ass right outta the program but I'm still grasping them as an older math enthusiast and artist... Thanks for making these, just forced myself through reading the first couple chapters of Calc for Practical Man, reads well... I got Steward's transcendental version way back in 04, they used it for calc 1-3 back then....... Please stop showing books, I'm starting to become a math book hoarder who can barely prove the fundamentals 😂 peace 🕊️ Getting Euler's calc books next!
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  5392. You’re like the Gandalf of Math 🙇‍♂️
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  5393. I just can't pass out after watching this video without leaving a comment for thanking you sir. Am currently a student of computer science and am learning programming and I know this can really help me out. Thanks again.
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  5394. thank you so much mate its help me at urgent situation
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  5395. Is that you sir Isaac Newton?
    11
  5396. Me a medico who choose med because I was bad at math: no I don't think I will
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  5397. For serious learners, I highly recommend following Strang-Axler-Roman sequence.
    11
  5398. me : Yeah... I think I will teach my self math inner me : Bro... you are a High school student with a C in Maths this video was fascinating to watch tho ngl :D
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  5399. When I study I mix casual and careful reading, the casual one introduces the topic and gives me an idea of the sense behind it. The careful one makes that intuition strong and deeper
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  5400. Not sure if 3brown1blue has been shouted out here yet but his essence of calculus, and essence of linear algebra does an incredible job at helping you visualize the material. Also I always did ok in math but I ended up excelling in Calc1 because of how fantastic my professor was. Sometimes you just need to compute a lot of derivatives and really home your craft, and he understood that really well. This semester is the opposite, I'm struggling in Calc2 and Its because my new professor can barely understand the material herself.
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  5401. Brilliant Video Man! I'm a Huge Fan Of C Pinter's Book On Abstract Algebra Honestly, It's just too damn good and the problems especially within the Group Theory section are Just Incredible! Also It Covers Galois Theory And Aspects Of Number Theory Which is absolutely beautiful in its own right!
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  5402. I also recommend getting a variety of books on similar topics. Multiple algebra books, multiple trigonometry books, multiple calc books. It's a good way to compensate if you don't have a teacher or a supportive peer group. They give you a broader perspective, plus you get more example problems and practice problems.
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  5403. Did you hear about the mathematician who’s afraid of negative numbers? He’ll stop at nothing to avoid them. If you got a laugh from this, check out for a psychiatrist.
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  5404. "If knowledge was the only thing that was missing, we would all be millionaires with a 6-pack"
    11
  5405. Wow book reviews are back 🎉 can you please do one for Algebraic Geometry too?
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  5406. I am currently 22 now and studying math on my own, from India. I never went to engineering college but here I am studying math on my own because I chose to. Not because of pressure but because I started taking initiative to learn new skills, So in my regard your initiative to learn something only matters which will sure improve the habits and surely you will get better in math. Cheers
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  5407. Assume sqrt2 + sqrt3 is rational, then it can be written as p/q where p and q share no common factors. Then consider (sqrt2 + sqrt3)^2 = p^2 / q^2 2 + 2sqrt(6) + 3 = p^2 / q^2 <=> sqrt(6) = (p^2/q^2 - 5)/2. This is still a rational number, so we can write it as a/b where a and b share no common factors. However, this would imply that 6b^2 = a^2, which would imply that a^2 is divisible by 3, and consequently we can write a as 9k^2, and 2b^2 = 3k^2. However, this would by the same argument imply that b is also divisible by 3. This is a contradiction.
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  5408. Happy teacher's day sir Love from India 🇮🇳🇮🇳❤️❤️
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  5409. I am so confused, yet, entertained as well.
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  5410. Another really cool analysis textbook is by Jay Cummings. It's a really chatty textbook that assumes very little prior knowledge and overexplains everything. Really good for someone without an extensive proofs background.
    11
  5411. You are literally saving my life during my undergraduate ❤️❤️❤️Love From India🇮🇳❤...
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  5412. I really enjoyed this lecture , you got the talent man !
    11
  5413. Thanks man i really needed that😁
    11
  5414. When you took calculus BC in high school and your teacher didn’t even cover sequences and series so you teach yourself 🤯
    11
  5415. I have an advanced math book titled 'Mathematical methods for Physics and Engineering' which is really good.
    11
  5416. The trickery of adding a zero in the middle so that you can factor. 😂😂😂
    11
  5417. not only are you dividing by 0, you already have a statement saying 0=0 AND then dividing by 0. super cool Video!
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  5418. Looks interesting! Hey, question: how beneficial would you say it is to study proof writing specifically, as opposed to just studying the proofs that come up while you learn a subject?
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  5419. Great video and perfect timing for me. Coming from being a self-taught software engineer for the past 3.5 years, the highest math I’d completed is College Algebra. Recently I decided to go back to school in pursuit of electrical (possibly computer) engineering. Already picked up your recommendation for algebra and started working through it today for a refresher. These other recommendations will undoubtedly help me as I prepare to knock out the prerequisite courses needed
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  5420. I'm reading the first chapter of my Real Analysis book for the coming semester and you are seriously giving me a glimpse of hope for success in this class. Thank you for uploading these videos; they are wonderful and are highly appreciated.
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  5421. Bless your soul!
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  5422. This is the first book I ever read in mathematics. I found it in high school, and it took me two years to get through it with deep comprehension. However, I learned it completely and when I got to topology years later, I could easily handle all the set theory without even a refresher.
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  5423.  @TheMathSorcerer  thanks for your reply... after your video about "Mathematical Happiness", I now study/practice at least 1 hour math daily, keep this up. And if possible PLEASE do a book review on "Probability, random variables, and stochastic process".
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  5424. I kept doing careless mistakes smh. But the worst problem is that I always forgot what I learned so I need to go back again to learn it, which consumes a lot of time.😑😞😖
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  5425. I’m early 🎉
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  5426. Hello, The Math sorcerer! Your channel is absolutely amazing and Im so happy to have found it. Math is my favourite subject and it always makes me so excited and I'm so grateful to have found a channel fully on mathematics! I really enjoy watching your math book videos! Thank you so much for making a channel fully on mathematics. I would like to ask you one question and that is, do you have any recommendations for doing some advance level mathematics?I am 14 and would really like to study different math subjects and it would be really helpful if you could tell that!
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  5427. Consider reviewing 2-Volume Mathematical Analysis, by Zorich 3-Volume Analysis, by Herbert Amann And for the serious mathematicians: 9-Volume Treatise on Analysis by Jean Dieudonné
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  5428. Bro looks like he did too much learning.
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  5429. Do you teach advanced calculus in higher dimensions as well? It would be so cool if you made some videos covering that stuff, like linear transformations, operators, differentiation, implicit/inverse function theorem, etc... :D
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  5430. I am working on algebra problems right now (also includes some geometry and calculus but ignore that) to practice for entrance exams. The workbook has like 1200 problems (all in Serbian though) and a lot are pretty hard. Unfortunately it takes 3 hours a day not 30minuts a day if I want to complete them in the next 3-4 months (and I do need to). So I guess I have already been working on this :P
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  5431. 3^3{1+1+1)=3^3(3)=3^4
    11
  5432. Indian jee aspirants be like :-we solved 90% of them during our jee preparation
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  5433. It can't be understated how hard working and going to graduate school is (save for working at the school itself)
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  5434. So I am a disabled neurodivergent that has worked with people with wide variety of disability and neurodivergences. People often really underestimate there mathematical ability and others overestimate bc math is taught so horribly. People think math ability is just computing in head large numbers time large number or memorizing, but it can be so much more and so many different ways to be mathematically "talented". But even beyond that, if you're not talented, you can still contribute a lot bc maybe you good educator bc you understand struggles, in a spceific application like using math to solve certain problems others have not gotten to yet, etc. bc math is everywhere. However, there are some who truly are not math people and thats okay. What we need is courses and education system where its okay for people to fail, explore, etc. and find out talents later and life and take risks like this. Now people only pursue stuff when its easy at first often or for job or something, so many potentials are missed. Then that pressure can lead to anxiety and hate of math. Secondly, we need to focus on getting people interested in math in courses not just teach, even if course is less "dense" if we get passionate learner they will use it more, practice, and pursue more. Thirdly, we should learn to accommodate and judge less and actually allow more in. Humans are horrible judges of humans as history have seen and all of bigotry can attest too. People naturally to some extent pursue passions and thats most important to have field progress: passion not genius. People who truly do not like math or do not see it will drop out and pursue other stuff often, we do not need as many other fences. Fences should only made for unsafe things or when resources low (and then we should try to make resources better etc.)
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  5435. Thanks to you i started studying mathematics again. I bought blitzer's "introduction & intermediate algebra" , its been amazing so far.. book review and recommendations of study paths are my favorite videos of yours.. again thanks for your hard work.🎉
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  5436. Hello. Just study the books of mathematical Analysis of Elon Lages Lima and That's it.
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  5437. Coolest Professor in the history of professors <3. Wish I was your student.
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  5438. An easy path to failure is just to give up and stop trying... and that's true for everything in life. When you stop pushing, when you stop fighting, you die. I took classes with a guy who had a photographic memory. He was amazing, scary smart, but he still had to go to class, and he still had to work through problems. Basically, he still had to do the work. But he only had to do it once. It was absolutely true that if he read something once, he could recall it perfectly without looking, without review. He could tell you what the page number whatever item X was on, and which paragraph(s) it was covered in. And it didn't matter how much time had passed since he first looked at it. Needless to say, he was a 4.0 student every semester. I usually don't like competing with other people, because I'm of the mind to just compete with myself and let other people achieve according to their own efforts without my interference, but the photographic memory guy was a different story. He was the guy to beat, the top dog. It was fun to compare myself to him, because if I was matching him in test scores, it meant that I was doing something right. Even if I was one or two mistakes behind him, I was still doing good, I just had a little more work to do. I never got frustrated with my slip ups and I never blamed him for my mistakes. He was a good sport about it. He and I became good friends. Close to 20 years later and we still keep in touch. He's married with a daughter, and he tells me that she's smarter than he ever was. Now that's scary.
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  5439. Lang gets worse in other books. Not only do "Algebraic Number Theory" and "Fundamentals of Differential Geometry" lack solutions. They also lack problems. Lang is always a fantastic read, though
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  5440. One thing I regret not doing during university was not to make tutorials of the things I learn. Maybe making a video for my future self could be a good refresher.
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  5441. yeah, I totally agree with you, feel like accumulating knowledge and enhancing skills to prepare for future research is more important. It's just way too hard to do meaningful research at undergrad level at least in math.
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  5442. It is soooo thick that I thought the spine was the cover 😂
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  5443. @0:36 - that writing is in Thai not Russian.
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  5444. How does a course in "complex variables" compare with a course in complex analysis? I'd guess a course in "analysis" is terminally interested in theoretical questions, whereas the corresponding "variables" course is more focused on reinforcing a skill set related to the field (in this case, amply leveraging conformal mappings, residues, etc.). Is this correct, or am I just making up nonsense? Thanks.
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  5445. This is The book on this topic. The edition I used in the school has a beautiful art cover showing many numbers in white one after one handmade painting if I'm not wrong. I wondered how in many places mention many other books but never this one. This is the first time I've ever heard mentioning this wonderful book in a math social media. At last someone did it. You definately do know math... XD Good for you, master!
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  5446. Huge collection to be proud of. Tried to see if you also had the calculus textbooks written by Marsden-Weinstein, but didn’t see them.
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  5447. I feel so dumb when try to study maths. I really want to understand It, but still not remembering all the rules and "codes". My native language is portuguese and it's hard to find english books in here
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  5448. I stay consistent by being OCD as hell and keeping my standards low
    11
  5449. Study for CAT 🐈
    11
  5450. I loved your video. I thought that only I had realized this, I was already paranoid. Just get a Russian "Calculus" book, for example, from the MIR publisher, and get a typical American Calculus book (Stewart, Thomas, Anton, etc.). I'm not downplaying American books (I even think it's best to start with them, you strengthen your mathematical foundations), but it is a fact that when they tell the joke that in Russia you learn Differential Equations in High School, there is a real background to this.
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  5451. I just wish you had done a math problem in the sand for us! you make awesome videos!!!
    11
  5452. 1
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  5453. Awesome, I just found a modern print of this book on Amazon. Used for only $2 (!). Thanks Sorcerer
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  5454. that's honestly the sexiest anwser I've ever heard: PRACTICE MORE!!! honestly grad school is another beast of its own I'm struggling too
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  5455. Oh boy, I need less distractions for sure.
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  5456. Dear Sorce, I cannot in words describe the positive impact you've had on my academic and philosophical journey. Your personality and approach to mathematics are inspiring and contagious. I often find myself watching your lectures when I'm feeling academically overwhelmed. Your method of teaching is stress-free, relaxed, exciting, and humorous. Your adoration for the little things like beer, pizza, video games, or making comedic sketches reminds me to smile and endure along a difficult road that you've made easier and bearable. Your life advice is precious and it resonates with me on a level I cannot describe. I watched your video about buying a car, after which I made the decision to buy one after being on the fence for a few months regarding the matter. Thanks so much. It baffles me to know that the youtube algorithm hasn't yet exposed your channel to the audience that it deserves. I loved your recent live stream, you should do more! Thanks again.
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  5457. I would never imagine your first language to be Spanish. I’m from Mexico and I’m an undergrad studying pure mathematics. It’s amazing to have someone so talented as you speaking the same language as me. (Just some random thought). Greetings from Mexico.
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  5458. The true genius in the history of Mathematics were the hardest working humans, to superhuman levels. That's like Edison's sweat motto to the ultimate expression, and that includes Euler and Ramanujan. The calculated series by hand like maniacs so that they could get intuitions.
    11
  5459. geometry, some trig, and basic algebra, are about all a lot of people need.
    11
  5460. One of the authors of that trigonometry-Marvin Bittinger-wrote the Calculus book I'm working through. In my opinion, its a really easy Calculus book so far. I'm only starting chapter 2 Differentiation and have only gotten about 81 % correct on chapter 1 so far. Its only 1 semester of Calculus and I don't think it has much trigonometry in it.
    11
  5461. Honestly, one of the best channels I have ever discovered <3
    11
  5462.  @TheMathSorcerer  Love you man. Changed my life
    11
  5463. Showed your channel to my professor, and now he watches every single video you post he told me! Ahhaha! Keep it up!
    11
  5464. Right at the time I was sitting down to Study, what a pleasant surprise! Thank you, Mr. Sorcerer <3
    11
  5465. Awesome, even tho I’m only in grade 9 math is just fascinating, hopefully by next year I’ll be here
    11
  5466. Teacher: says anything Me: could you repeat the stuff with all the things? (No joke, sometimes, im too scared to raise my hand and look stupid 😅)
    11
  5467. Always try writing down your solutions to problems and come back to them. Reviewing your solutions, in case of a book with no solutions, will allow you to proof-check them. More importantly, it will provide you much-needed insights pertaining to what you studied earlier.
    11
  5468. Great recommendation as a sequence of thought and visual support. An even more general book is a Brit publication Help Your Kids with Math by DK publishers. Combined with the classic How to Double Your Child's Grades in School (Pre-K to College) these resources reflect your general philosophy and superior approaches to math learning. Both are great resources for every parent or student as well as your great instructional videos. Another nicely done episode.
    11
  5469. Thanks for sharing your experience--I think doing math for the love of it truly is the best reason. I'm going to be a sophomore this coming semester and there is a part of me that absolutely loves it, and a part that's scared for the future. I hear all the time that a PhD isn't worth it, that the job market is awful for a professorship, but there is also the part of me that remembers the absolute awe of solving random problems, of researching the equation that determines tri-square numbers, of trying to get my hands on anything related to math so I can learn and it makes me more impassioned and despite it all, I do love it and I want to continue. Sorry, mini rant--life is just being weird lately. Your video almost made me cry and I just wanted to say I appreciate it.
    11
  5470. So last year I started studying maths at University and I spent so much time working on my homework and lectures, since I've been always a hard working person. But I got mentally exhausted and cried every day after lecture. I just couldn't deal with the abstract theories. It was hard to realize that I might not be ready to study this so I switched my major to computer science this year and I'm super happy now (it's like the first time I actually like studying at uni)!! I really want to try maths again in a few years, maybe I'm ready then. Lots of love from Germany!
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  5471. As a student of interval arithmetic, I would accept an interval as an answer.
    11
  5472. So, does that mean that "all unicorns can't do math" or "all unicorns are not purple" is also true mathematically?
    11
  5473. i'm studying general topology since i was a child i always hated maths why? because i was not good at it , i used to get scolded by tutors and parents over math and i used to think why do i even need math when there's no use of it really i asked teachers my parents on it and they replied idiotically always by giving example of buying groceries and calulating it. years passed away and then i wanted learn programming and i found that there's a huge segment of studies of mathematics in programming i watched some videos on how mathematics is essential and could be a reward .then i realised how stupid i was man! but i would'nt change my opinion of my tutors answers of how is mathematics is useful but they were idiot as i was to by not telling me the what lies behind these studies now it's my summer while everyone is enjoying i'm studying general topology it makes me feel more resourceful being and now i understand applications of mathematics more than anyone around me. thank you ! excuse my grammar please .
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  5474. thank you for making this video and exposing the existence of this book! i am buying it ✌️ Hung
    11
  5475. God tier is doing a maths and CS degree :)
    11
  5476. I tend to want to avoid doing research and study when I am feeling like shit because my cognitive ability becomes impaired. So I feel like shit for doing it worse. I will try to take your advice and run more.
    11
  5477. Love this channel. Thank you MS
    11
  5478. Thank you so simple and straight forward we need more of these
    11
  5479. As a bodybuilder hobbyist and math lover I was delighted to see such a video from you
    11
  5480. i have this book, really interesting for math degree students.
    11
  5481. I have never compared myself to others. I look at others as sources of inspiration. They inspire me to learn things and improve myself. I have very different experiences, no math phobias, none whatsoever. In life, I never had problems with math, but it was only with English classes in school. I struggled more with English classes than with maths. I didn't learn algebra, until I was 16. I lost speech and language in my infancy: I had an accident — an impact by a fall had shocked my brain, resulting in my lost years of learning and also my loss of speech and learning disability. It took me years to recover from the effects of brain shock and years to reconstruct speech and language. I made up for lost years of education by always self-studying at home.
    11
  5482. IMO it really depends on the topic but overall they are pretty equal. Jackson's electrodynamics book was just as difficult as Rudin's Functional Analysis book for me.
    11
  5483. A year-and-a-half ago, when I started teaching myself algebra again for the GRE. I started over from the very beginning, and when I could see why rational numbers were what they were (vs irrational) a gear started turning in my head. The number line clicked, and I no longer had to rely on tricks to remember what < or > meant. Then all the tricks one can do with exponents made perfect sense (which used to cause me a lot of trouble); then equations were no trouble whatsoever. I took time with the desmos calculator to see what was going on with different formulas and linear equations until I fully understood what I was seeing. Reviewing geometry was easy and now I can't wait to push myself into learning calculus.
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  5484. People who are gοοd at comprehending abstract images and ideas are good at math and fast learners.
    11
  5485. Why do most textbooks give answers to odd number problems only? What's even done to be so callously disregarded?
    11
  5486. Loved this book. It's rigorous (but skips epsilon-delta stuff) and some proofs were difficult to follow as a freshman student but it prepared me to tackle Spivak afterwards :) I think there's a version of this book called "Short Calculus" which should correspond to the first edition of this book, much shorter than the inflated latest edition with over 700 pages.
    11
  5487. Those eyes are looking straight at my soul 💀 But this piece of advice is priceless
    11
  5488. How sad, the author died while taking a walk, when he was hit by a car when crossing a crosswalk!
    11
  5489. English is important, especially when you are writing theses. Everyday, I read academic books by exemplary writers at Open Library. I read them for pleasure and study. I study authors' diction, phrasebanks, styles, etc.
    11
  5490. Nice one sir.
    11
  5491. I like when the exams and finals make up 100% of your grade but not doing the homework detracts points
    11
  5492.  @Pete-Prolly  bro I can't tell how much you inspired me!!! I'm just 19 but already felt like a loser in maths.
    11
  5493. you are truly a sorcerer! i was just struggling through a proof. follow up question: how does one improve their creative thinking needed for some proofs, those key steps in a proof that are like "how does anyone come up with that?"
    11
  5494. YES, why? 1. Slow down, because math is a PROCESS and EXPLORATION, not simply a computation. 2.Distraction free, because math requires a GENUINE UNDERSTANDING, not a simple repetition or memorization.
    11
  5495. YOU ARE THE BEST MATH TEACHER I NEVER HAD OR HAVE KNOWN PERSONALLY, MATH SORCERER!!!!! YOU ROCK!!!!! :) :) :) :)
    11
  5496. A lot of people have videos of solving this integral, but many people make mistakes, or a sign error. This is correct and nicely done.
    11
  5497. This guy literally looks like a math or physics or chem professor at harvard
    11
  5498. Thank you, prepping for calc 2 final tomorrow. This helps a lot!
    11
  5499. This will be math professors when the current generation becomes professors
    11
  5500. New subscriber here! Thank you so much for these videos. I'm going back to school to finish my bachelor's in math and my worst enemy is my imposter syndrome. I wish all professors were as understanding and helpful as you!
    11
  5501. I'm 29 and I want to finally finished my g12 and go for math and computing! I'm trying to learn by my self but yeah it's time.
    11
  5502. is this filmed in your work or at home office? only ask because that looks like quite the book collection behind you!
    11
  5503. I've heard one of the hardest Maths out there are Calculus and Trigonometry. I've had friends who had to take both subjects at once. They're both aspiring to be medical professionals, and so Maths for them is an essential.
    11
  5504. I have the Everything You Need to Ace Math In One Big Fat Notebook book and I think it's so much fun. I didn't know they had a computer science version so I'll definitely get this one!
    11
  5505. starting tune was neat, gave me the powers
    11
  5506. Love the Youtube videos. I wanted to ask about the Udemy classes. The list to the links of the Udemy classes above, are these in any order. For example, would the Abstract Algebra Course be taken 1st? Thanks
    11
  5507. +1
    11
  5508. I think you got a lot of engineers who dont know how to do a proof by contradiction disliking this video.
    11
  5509. How is it rewarding in the job sector 😔
    11
  5510. I have personally always preferred using Textbooks (way more coverage) over any Schaum's book, on any subject.
    11
  5511. There is one tip that is really important to realize! Teaching mathematics does not exist! A teacher can present the contents, but processing it can only be done by thinking about it yourself! I have followed many classes in mathematics, where I learned a lot of stuff, so I thought. It took me sometimes decades to go over all of it again, and really understand it. In fact, I discovered that many things that were said to me were outright wrong! For example, I was taught that group theory is about symmetry. But that is wrong! Group theory is basically two totally different mathematical fields which happen to satisfy the same axioms. One is finite group theory, and the other is infinite group theory. Finite group theory is about permutatiions, and nothing else! And infinite group theory is about abstractions as such. An invariant of groups of transformations is about finding something that many objects have in common. And that is an invariant of a transformation. If you can turn those transformations into a group, you have a context whereby abstractions can be defined exactly. For example, the group of affine transformation in the plane forms a context whereby you can give an exact definition of a triangle, a parabola, an ellipse and a hyperbola, and_within that context- they are distinct. But in the more encompassing group of projective transformations, there is no distinction between a triangle and two parallel lines intersected by a third, and ellipses, parabolas and hyperbolas are all the same 'thing' called a quadratic curve. At exams I just produced that what the examinators wanted to see, without really understanding it! But there was one difference between me and most other students around me. I knew when I didn't understand something! I think this is because I got my high school diploma by just studying at home for three years, having no contact with any classmates! I wasn't attending any high school! It took me three years to get that diploma.
    11
  5512. maybe it is so because people fight hard to get to america, so those who get in would be stronger than most from their own country.
    11
  5513. this book is used in most universities down south.
    11
  5514. There’s also another text aside from spivak where ppl often quote challenging. Basic training in mathematics by Shankar . Rigorous stuff.
    11
  5515. I learned by banging my head on the wall. Good luck to us all 😊
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  5516. I'm a bookish guy, currently studying two majors together: Computer Engineering & Mathematics. Knowledge (of every type) always given an important role in my life, and I'm pretty sure is one of the best gifts for your mind and life itself. I used to be a high school dropout - bad experience with classmates, scholar schemes, etc. but I've got a huge self-taught background anyway. Not every people could appreciate that values, and it's pretty sad indeed.
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  5517. I love this video. This took me like at least 19 years to realize this fact. Now, I'm planning on taking a one or two math courses just to learn more math. But deep in me, I feel like I want to be a professor but grad school never was on my mind because if money and time. But I'm not going to focus on a future I can't see yet. I'll focus on my now. Thanks for reminding me this powerful lesson.
    11
  5518. :') good content. What are your field of study in math?
    11
  5519. This was EXACTLY what I was looking for! Thank you !! perfect explanation too!
    11
  5520. I think watching a power series video for fun might be my most extreme form of nerdiness so far
    11
  5521. Dear Professor TMS, I cannot thank you enough for the quality of your videos, it keeps people like myself who self study oriented.
    11
  5522. I need to learn the Riemann hypothesis from scratch . The equations . the notations...
    11
  5523. I just decided to give math another try at the age of 29 .You’ve just lit up a fire in me to keep on trying ! I wish you a wonderful day and all the best .
    11
  5524. I’ll try not to
    11
  5525. I wish this channel (and YouTube!) existed 20 years ago, when I was in high school and struggling with a lot of questions like these. Sighs.
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  5526. I applaud everything you're saying, here, about time. I'm learning math fairly late in life, and so far, I'm just reviewing the stuff I studied during my education and research years. My goal is to master vector calculus using tensors, which I never got to, and maybe a little complex analysis. I discovered Ted Shifrin's video lectures, and they look to be a gold mine. He authored a textbook, too ... There are so many applications, and fun graphics to play with, that I may never get beyond that, so maybe I'm not really your target audience, the serious math majors. I do like what you have to say about taking a break after having gotten 'stuck'. The worst threat to my study is a busy normal life complicated by becoming distracted by youtube videos. Another kind of self-discipline is required for serious math hobbyists. You should publish some advice for us, too, because only a very few people are going to read this comment.
    11
  5527. I've got one copy too.Amazingly builds your intuition.
    11
  5528. "In this short video" – continues talking for 14 minutes..
    11
  5529. Yes! Yes! I cannot stress enough how important it is to teach ourselves given the fact that no prof/teacher can make you feel/understand/realise the essence the way you would if you are to teach yourself. And as the saying goes - You can take a horse to the river but cannot make him drink the water! So the charge must definitely be on ourselves. Also, I am learning concepts of Galoi Theory myself, it's fun!
    11
  5530. I did well in future options by using a charting analysis strategy, so I'll get both books. Thanks, Math Sorcerer!
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  5531. I am least lonely when I am doing math, I think. It has a way of consuming me absolutely, and in that I find equanimity, peace. My loneliness is qualitative, not quantitative. I have friends, a partner, pets, but I feel that they merely cover the hole, not fill it. Deep connection is difficult, you have to put yourself out there and be open, and who has time for that? There is math to be done…
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  5532. God damn I wish my teacher was this energetic and could explain this well. Thank you very much mate.
    11
  5533. NEVAAAAAAA!!!!!
    11
  5534. 32:24 with that enthusiasm I'm definitely finishing this playlist 🤣🤣👌
    11
  5535. I seem to recall seeing a Chinese university-entrance exam (this would have been about a decade ago now) which featured a lot of pretty intense-looking spherical trig questions. So maybe it’s still a big focus of secondary-level maths there, or was until quite recently? Maybe someone who has experience of the system out there could let us know?
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  5536. I love when I did a problem right that took 3 pages but the answer is off because I forgot to write down a 2 when I transcribed the problem to the last page
    11
  5537. Advanced Engineering Mathematics by Kreyszig was our maths text reference book, but to be honest in our engineering lectures, the dedicated maths lectures were delivered by professors from the Math department and were so good, we really didn't need to resort to a text book.
    11
  5538. I also taught myself to code before going to college! It was on a TI-55 programmable calculator (it was 1979). The small amount of memory meant that I had to "invent" indirect addressing and other techniques like that for myself. As a result of those few weeks of learning for fun, I was way ahead of my peers before I started college, and stayed ahead for the whole time.
    11
  5539. If you would do this type of video for Topology also, then I will make a temple, worship you 5 times per day, and teach and memorize every book that you have recommended, page by page XD.
    11
  5540. It's good that you included Physics, because why else would one study Math?
    11
  5541. Any math book that goes back to the era where one can teach at university as a full professor without a PhD is stellar!
    11
  5542. The cleanest explanation for proof for factorials by Induction on YouTube.
    11
  5543. That was my father's high school algebra book, he is currently in his mid 60s! 😂
    11
  5544. See, instead of talking about random things, my diff equ prof just goes over his notes with no explanation. Everything else is completely accurate
    11
  5545. I'm not part of your class, but this lecture sped up the review process for me. You were about as clear and concise as my own Diff. Eq. professor, but introduced me to slightly different ways to execute Differential equation solutions (the tabular method as opposed to by parts, for example). Keep up your teaching style. It is effective!
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  5546. Very good explanation of what the derivative is, in less than 3 minutes.
    11
  5547. One benefit is that you can actually proceed further in Math. Math is the least forgiving subject for gaps in your knowledge base. Not a math master by any means but most of the problems I see in classes and forums with Calculus are algebra problems. Build the fundamentals strongly and the rest of your journey will be much much smoother and more enjoyable.
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  5548. Can you do a review on Tao's Analysis I and II? I keep hearing it's a pretty good book.
    11
  5549. I dont even memorize mathematical equations since I usually in my spare time figure out what they are derived from. Best weapon in my math toolbag!
    11
  5550. I have been following ever since your channel was under 100k subscribers. I'm glad you made that far !
    11
  5551. Great advice, exactly what I needed. Love your positive attitude and your channel has helped me tremendously, both with explaining math problems but also motivation wise. Thank you.
    11
  5552. Great information. This channel is useful and, over time, all of these tips will ADD UP to a Ph.D. for me! Thanks!
    11
  5553. I actually decided to get a job and pause school 'till this whole thing is over, hopefully next year, but I'm willing to wait two years if necessary. I can't, I just can't... I have untreated ADHD and I need the physical context of an academic environment in order to focus.
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  5554. Thanks for the video.
    11
  5555. Why am I watching this at 1 in the morning? Passed the exam last semester. Still fun to watch though.
    11
  5556. Do you own any books solely for olympiad practice? I find those books to have really fun problems.
    11
  5557. I always used class as an interactive exercise. Figured I am paying the tuition so I better show up and make the best of it. Before the lecture I would read ahead on what is being covered, then during the lecture instead of looking at the board I would try and write my own notes based on what my professor was communicating in real time. I would look up to verify now and then but if possible I would try and keep ahead of them. This way I was able to write it in my own words so I understood it and stay engaged. It was actually so effective for me I hardly ever looked back at my notes for studying because I absorbed them so well and instead spent more time grinding exercises as practice.
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  5558. Sydney Carton couldn’t be more wrong.
    11
  5559. I read math books from the 1800s and before all the time. They are just as understandable or more understandable as today’s books. The really old ones that I found in the university libraries from the 1500’s to the 1700’s would be understandable, but they are written in Latin. Math books from the 1800s, with some exceptions and terminology, could have been written yesterday imo. And no they didn’t have cars in the 1800’s.
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  5560. Miami-Dade is the location the sex-offender shuffle was filmed.
    11
  5561. maths socerer make me your apprentice.
    11
  5562. I love the way this dude connects with his students. That's a mark of a good teacher!
    11
  5563. So cool seeing what these older books covered
    11
  5564. This is one of the reasons I love math. I love challenging my brain with tough problems. It gives a real sense of satisfaction when finished.
    11
  5565. I was having a good day as well... thanks...
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  5566. Great book - republished by MAA/AMS - recommended by the Numerical Recipes team. He also published a similar book republished by Dover - also worth having.
    11
  5567. Great Book! My favourite books are Aluffi and Jacobson (Vols 1 and 2). Regarding Aluffi, his use of Category Theory from the beginning really made me appreciate the beauty of Abstract Algebra. His writing is spectacular, even purposely funny sometimes.
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  5568. thank you so much i’ve been looking why for the past hour and i finally understand
    11
  5569. I came in at the bottom of my class in the first year, I'm miserable now.
    11
  5570. Thanks a bunch! It got me really focused on the problem thanks to your enthusiastic way of teaching!
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  5571. I also have the same feeling before. My friends are pretty good at maths, they're young mathematicians. I felt like I am being left behind because their skills in maths are pretty advanced now, they already know things like Complex Analysis, Real Analysis and many more... That made me feel like I am being left behind. One day, one of my friends shared a memory on facebook. It was a picture when he was just starting to learn integration techniques, based on the picture he was learning trigonometric substitutions. That gave me hope, there is really nothing loose. Now, the least that I can do is to continue doing maths and never stop. I can see that my skills in mathematics are continuously improving 💕💕 The only thing you need to do is to never stop and keep going. Commit yourself to learning Mathematics.
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  5572. I'm pretty certain that the ln((n+1)/n) problem doesn't converge because the telescoping series results in a partial sum of ln(n+1) which has a boundless limit when n approaches infinity.
    11
  5573. “Don’t worry about this proof, you’ll cover it next semester so we’ll skip over it for now” Next semester: “you should know this proof from last semester, so we’ll skip over it”
    11
  5574. Hey I just wanted to say thank you I was struggling with one of this questions. 😎
    11
  5575. Visual Group Theory, by. Nathan Carter; Elements of Algebra, by John Stilwell; Algebra, by Michael Artin; Contemporary Abstract Algebra, by Gallian are my picks for beginners.
    11
  5576. ...What I always do in these situations is to replace all minus signs under the square roots with i^2 and then continue the algebraic calculations according to the normal rules. (Sqrt(i^2)=i and i*i=i^2=-1)----> Sqrt(-5)=Sqrt(5i^2)=iSqrt(5) and Sqrt(-15)=Sqrt(15i^2)=iSqrt(15), so iSqrt(5)*iSqrt(15)=i^2Sqrt(75)=-5Sqrt(3).
    11
  5577. Thank you so much sir I love your teaching style Please upload more videos on calculas
    11
  5578. I work as an electrical engineer(EE). EE's apply almost all the knowledge they learned in school regularly. When older EE's go back to school they are generally very successful. They recognize important details and have valuable experience.
    11
  5579. Although I'm on a break from college at the moment, I re-started late; left school at 16 hating it and saying I'll NEVER study again. At 45 went back to high school maths, then A-levels a couple of years later (maths and physics), then year 1 and 2 of university math. Yes I struggled in year 2, but I feel that was more to do with my study habits which I intend addressing so I have a smoother ride when I get back. I'm 51 and the moment and will probably be going back in about 2 years. There were about 5 people senior to me, doing the same subjects, on their way to a Bachelors in Math when I was on my second year, a couple of them significantly older.
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  5580. sir, I have decided my passion and curiosity at age 10 year old to become Inventer scientist now I am 12th pass out. I am taking drop to deeply understand about the pure of math and physics uses and also preparing for Entrance exam. why I am taking drop because teacher just memories the facts and formula, I got just got tired memories the stuff, Teachers kills my inner curiosity of asking question I don't love how they teach us science and math subjects. I am the guy how loves to experiment with physics and math formula and I love how things works with math and science. After taking drop my understanding in math and physics curiosity has been improved and I do experiments what I learnt in real life basses and in Equipements. I love physics, Math, and Engineering. later I will take Engineering.
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  5581. This only encourages me even more to study math at university, a life so simple and beautiful makes me euphoric and puts a really big smile on my face
    11
  5582. Do you think it is possible to learn advanced math by studying for an hour a day?
    11
  5583. I like how you take inspiration and advice from all your videos and crystallize it into a concrete technique we can pick up and use. I'll ACE my undergrad studies for my math degree! Let's all ACE this! Thanks for this video Math Sorcerer!
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  5584. This is a great book. I am actually working through it myself!
    11
  5585. Mathematical physics textbooks be like Hold my 50 pages long PDE cahpter
    11
  5586. To me silence is horrible when studying. I need to be listening some music like classical music or some death metal
    11
  5587. You’re so right that this book is one to read throughout one’s life. My Dad literally has done that! He is 87 years old and got this book many decades ago, and he still dips into it to learn about maths.
    11
  5588. I have an exam in 5 hours, found this just in time
    11
  5589. You give the best proofs. I can’t understand really anyone else doing these proofs. However when I watch your proofs I can understand it. You actually break it down and explain stuff . Thank you !
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  5590.  @TheMathSorcerer  If it can be briefly explained, could you outline what you got wrong about the delta epsilon proofs? I thought I understood them, but now I'm not so sure lol
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  5591. Hey math sorcerer, I heard you mention during some video that you had a buff military friend who would go to the gym every morning and then study for the rest of the day. Could you please tell me more about him, such as what happened to him? And where is he now?
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  5592. I really appreciate you doing all these book reviews. I took PDE's at my University and it was an absolutely terrible experience. The book we used was of no help at all, the professor was equally useless, and many students had to take the class twice just to pass. I don't think I've ever left a more scathing review of a professor/class during my tenure Uni.
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  5593. It would be interesting if you made a video or video series about which math subjects you learned by yourself and what books you used for that!
    11
  5594. I feel like I could understand anything if I had enough time. The problem is, I don't...
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  5595. I didn't understand high school chemistry until I studied Quantum Mechanics as a Physics major. Thanks for covering more Physics books!
    11
  5596. I just want to thank you for the excellent videos! Keep up the great work.
    11
  5597. What the hell is happening in the comments? Do I have to say I'm from Brazil too?!?! Great video, but it creeps me out. The tension is real. 😂😂😂
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  5598. Most important subject for students who want to do physics. Most of the students struggle with subjects like classical mechanics and electromagnetism mainly because they don't have solid understanding of concepts in calculus.
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  5599. I thought you cut the locs for a second!!! 🤯🤯🤯
    11
  5600. very nice and simple
    11
  5601. Related rates was the hardest calculus 1 topic for me!
    11
  5602. Thank you. I do of course appreciate the motivational and philosophical videos you make. But for these fairly elementary topics I also find your videos to be calming, and surprisingly insightful for something I've seen a hundred times before.
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  5603. Your enthusiasm is infectious
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  5604. One professor always told us, "Notation is trivial". I think that idea helped me a lot. I think one thing that can also help is looking at math historically. Notation style comes from the ways earlier mathematicians chose to write. Notation is kind of like fonts in a word processor. There are many ways of writing a derivative, for example. Perhaps most symbols in math can be varied. However, I agree that a lot of this stuff comes from formal logic notation. All of those upside-down A's and backwards E's will help you with both Aristotle and Calculus.
    10
  5605. Your a great mathematical psychologist: understanding the problems encounteted in math, with the solutions to overcoming those hurdles. Thank you
    10
  5606. Thank you for your time and efforts, your videos helps us so much.
    10
  5607. Understanding the history of one's profession is indispensable: our predecessors struggled with its development. We all study Math, Physics, etc. from very distilled textbooks; we don't get to see the messy notebook pages that led to a finished work. If you do this stuff long enough, you're going to get your ass kicked. Welcome to the club. As a lesser-famous Mathematician, Vince Lombardi said: "It's not whether you get knocked down, it's whether you get up." He specialized in 3, 7 & 10's.
    10
  5608. Prof: School is not everyone's priority the math sorcerer: 👁👄👁
    10
  5609. thank you math sorcerer. We need more wizards like you
    10
  5610. Gran autor, que sencillo explica todo y muy buena la editorial Springer.
    10
  5611. I think that the key is relaxation because you may know all the material but if you're thinking what if I fail or get quite anxious then your brain is just not going to do math. So we need some psychological preparation also.
    10
  5612. you're a god
    10
  5613. The real warriors are those aren't born Lucky
    10
  5614. Hi sir, I've been self studying mathematics and your videos have been really helpful to me. I've realised that even though I love the subject, I've had trouble with trying to score of it. I'm in my second year of college right now. In distant future, I hope to meet you. Gratitude from India. 🖤
    10
  5615. When I was a senior in high school (1977), without the use of calculus (only analytical geometry), I DESIGNED a program for my state-of-the-art TI-58 programmable calculator that would solve this same type of problem in general. You just imputed the coefficients of the quadratic equation, and then the (x,y) coordinates of the point. The program then tested the point for how many solutions that were available. For example: if the point is outside the quadratic-2 solutions, on the curve-1 solution, inside the curve on the axis of symmetry-2 solutions, and inside the curve but not on the axis of symmetry-0 solutions. Once this was known it would calculate the tangent line equations for how many were possible. Do that when you are only 17 years old. 😎
    10
  5616. I studied computer science and we had to read and write proofs on our discrete math course. I didn't really get it at the time - it was by far my worst grade - and I still mostly skip the proofs when I'm reading math and computer science books like Knuth. But I think I'll get this book and set aside some time to study it now given your glowing recommendation.
    10
  5617. Fantastic. It's very difficult to find videos that break down problem solving to this level of detail. The creator usually glosses over steps. I only wish my past self could have seen this when I was taking calc 2... Haha! Great video Professor Sorcerer!
    10
  5618. I have this book, and it is nice to have problems and solutions. OTOH, this is probably the most "Bourbaki" of the cheap Dover Topology books. It is pretty much definition, theorem, proof all the way. Thus in my opinion, for self study, I like to use it in conjunction with Hocking and Young's Topology book. The Hocking and Young provides basically complete verbal lectures and is very well written and understandable. The two books make a pretty good pairing, I think.
    10
  5619. I am delighted to see you've found the Ancient Stoics :) Although I am watching your channel for 2 years, I always felt that somehow you will cross paths with them (since your motivational pieces are in a very good accord with the Stoics' rational worldview). The modern writers on Stoicism are very good as well (D. Robertson himself, Massimo Pigliucci, and others). Also You might enjoy Epictetus's discourses (they're ment to be as philosophy lectures' transcripts).
    10
  5620. I looked at a number of Lang's books, and to me he doesn't seem to be interested in developing computational aspect of a subject, or the student's capabilities thereof, rather he seem to focuse on mathematical ideas and concepts; although that might not be in a very theoretical way. I felt he sought to enable a student to "feel" and to have an understanding of what's going on in the subject, sort of to grasp the subject matter of a book. This was how I thought of his books, generally, and It I found them valuable for that very reason, which make him stand out among math authors.
    10
  5621. I wish I had this foresight long ago. Hopefully I can help my kids avoid the same mistakes
    10
  5622. Failure is a normal part of the learning process. Confusion is a normal part of the learning process. If you don't fail and you're not confused, you're not growing in what you understand. Even people who appear wildly successful at something fail at some level all the time. Their failures might be more subtle or more covert, but they still fail. Maybe Euler or Gauss were exceptions but they were freaks of nature.
    10
  5623. One thing i realised is that stop acting like you know everything; you are here to learn, so start! Take action, learning is iterative and don't over introspect, in hind sight we can always blame ourselves , and doing so waste our time to take actions, learn something everyday from ur structured plan. Finish what you have stared, Don't give in.
    10
  5624. I have no difficulties finding good references but your reviews.
    10
  5625. omg, this video is just mind blowing. It made proving stuff easy
    10
  5626. my advice for people that people must follow you because you worth😊
    10
  5627. Can you do a few more of these? Maybe some trickier ones? This one is like the super easy problem they always give you in class then the hw problems be like 🤯
    10
  5628. I feel like if you wrote a math book, it would be one of the best books. Tbh I love your explanations and I love how you can take very difficult topics and make them easy and accessible to understand! (Anyways, keep up the amazing work!)
    10
  5629. Yeah, it's strange at my university because our Cal 3 course is more of the mix-and-match course, where we discuss vectors and some other concepts that are fairly similar to a few of the later linear algebra topics, but then our Cal 4 course covers multivariable calculus.
    10
  5630. Also, music. That one's tricky though. Sometimes when I'm trying to focus, I really need (near) complete silence. But other times (and I'd say most of the time) it actually helps to have some music or noise going, so long as it's not distracting. Low volume, using headphones, and something that doesn't have lyrics, or screeching guitar riffs, or lots of complex time changes, etc. IOW, music that's quiet, instrumental, not overly complex, and kind of peaceful / boring. Ambient drone or something works, but depending on the exact mood I'm in, I might listen to chillwave, synthwave, darkwave, dark techno, classical, jazz, etc. What I can't really listen to when trying to do math is something like heavy metal or hip-hop. Something like this is pretty good: https://www.youtube.com/watch?v=npVellnR6D8
    10
  5631. The path is made by walking. Understanding comes over time, with experience; it requires a process of delayed gratification.
    10
  5632. This man makes me want to learn math.🤓
    10
  5633. Thank you! Stuck on this problem in Calc II.
    10
  5634. I agree, I had struggled a lot over the years to get to the point I am at, and the truth is what pushed me is saying to myself "What if..." it's easier said than done but it's good to keep in mind for those moments. Thanks for this, cheers!
    10
  5635. Awesome, added to my collection. Thanks for sharing this. While this might be considered basic algebra to more adept wizards of the mathematical realm, some of us neophytes are still learning the basics of conjuring the basic elements of al-jabr.
    10
  5636. People hate this, but the fact is, grades are a good (albeit imperfect) measure of how well you've learned the material. There are cases where that correlation is low, but in general, they are the best easy metric we can come up with. You should absolutely care about grades but also recognize they are not everything. Regardless of who you are or what you're studying though, you should aim for at least a 3.0 GPA. A perfect 4.0 is unnecessary and might even reflect somewhat negatively on you because it suggests you are neurotic about grades, but less than a 3.0 (at most schools) suggests you were not a serious student or simply couldn't hack it in the program you were in. Some grad programs won't even give you credit for a course unless you get a B or better... Just something to keep in mind.
    10
  5637. I'm a first year math grad, and a good way for me to stay focused is to either print what I need and leave technology behind or sit down in a small group of other students to keep each other on task.
    10
  5638. god bless, i've been so stressed because my text book made this so complicated!
    10
  5639. Steenrod's book was designed to be teach to high schooler from a conceptual perspective. It's also a great entry point.
    10
  5640. You will enjoy the Nova documentary on Ramanujan made about thirty years ago.
    10
  5641. Very enlightening interview with Professor Fernandez. His "growth mindset" philosophy can be applied to all aspects of life. Thank you for sharing this excellent and inspiring video.
    10
  5642. I got into a good engineering program but unfortunately got kicked out during the third year. I transferred to another school as a freshman immediately. Now I'm a sophomore but age wise it's my fifth year in college. It's not that easy to cope with the feeling of being older and your peers are all moving forward. On one hand I want to get my degree and leave college asap, but on the other hand I also want to take the advantage of being able to study more and still try to pursue my academic goals. Wish good luck to all who read this.
    10
  5643. The best math teacher with the most stylish outfit!
    10
  5644. Thank you for the help! In Calc 1 now
    10
  5645. Dear Math Sorcerer, My name is Fernando, I am 46 years old and I am a Physicist. Your videos have been such a blessing for me. Due to all the different activities a professor undertakes, it is easy to forget that what brings someone to this career is the love for studying. Although every single day I am reading papers, preparing classes, etc., it sometimes becomes "mechanical" or "automatic". This, of course, affects productivity in a way which is hard to tell. Thanks to your videos I could remember how much I love to read a good math or physics book and to take delight in tackling the exercises and problems! I thank you immensely for your youtube channel. If you allow me, I would like to present you two books in case you don´t know them already. These books were loved by some of my math teachers back when I was in the undergraduate school. They really LOVED these books! Here they are: Linear Algebra and Geometry by Kostrikin and Manin (Gordon and Breach Science Publishers) and Modern Geometry – Methods and Applications by Dubrovin, Fomenko and Novikov (Springer). All the best, Fernando.
    10
  5646. I saw Hilbert space and had to jump in, good choice!
    10
  5647. this was really helpful, thanks!
    10
  5648. What
    10
  5649. I love it when I get to the point where I can't sleep and tell myself "I don't need to do this anymore" then you wake up in the am and get to work When you come back from breaking point with a clear mind.
    10
  5650. I got a 96 on my Differential Equations final this year, all thanks to you
    10
  5651. Lifting is so so important for the mind, and I truly feel for people who fell for the meme that you had to min-max being strong or smart. you can and should do both to be better at both.
    10
  5652. To find the optimal level of challenge, it can help a lot if you're placed in the right courses with the right professors and the right peers. But if you're not in school or you're not placed in the right settings, then it can also help to get a good collection of books that give you a variety of perspectives and approaches.
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  5653. I love this channel, I never though there might be that amount of good books about mathematics. In the academia, people is currently far more interested in publishing papers instead of publishing books to succeed a tenure track or attaining promotions, so I’m still wondering how does it works in the mathematics area. By the way, it would be nice a channel about mathematical reputable journals. Furthermore, I’d like to watch videos about mathematical optimization books.
    10
  5654. High quality public domain stuff, great! Thank you for introducing these amazing books. May the lord bless you. Best wishes from Iran.
    10
  5655. I experienced a minor hernia when you bent the front cover around to the back.
    10
  5656. I was curious about Hayward's career, seeing that he was a schoolmaster with an FRS. According to Alumni Cantabrigienses he was a high-flying student at both London and Cambridge universities who became a Fellow of his college and then a Reader ( = associate prof) in Natural Philosophy (physics) at Durham before spending over 30 years as an assistant master at Harrow. The Royal Society's website shows that he continued to publish high-level work. James Clerk Maxwell was one of those who endorsed his admission.
    10
  5657. I agree that Calc 2 is the hardest. However, I actually really enjoyed the disk/shell methods. They just made perfect sense, tho that could be due to the great youtube video I saw explaining it. Work numbed my brain and Infinite Series can go to hell.
    10
  5658. appreciate your hard work. Crystal clear explanation.
    10
  5659. Another comment, so the algorithm knows I like videos like this.
    10
  5660. This book is a complete example of " don't judge the book from its cover "😅 Thank you for this good video. I guess you were a little out of energy, hope you get better soon. May the lord bless you. Best wishes from Iran.
    10
  5661. You inspired me to study harder. Probably I m not a genius but I ll do my best to improve my math skills. Thank you for sharing this great stuff. Keep it up👍💚
    10
  5662. The thing that helps me cope with failure is... my creativity! As soon as something I try fails, I have seven more ideas of other things to try, and I'm excited about trying them.
    10
  5663. Please do a review on "Mathematical Method For Physics And Engineering" by K.F Riley , Thank you
    10
  5664. Ex is a preposition meaning “out of” or “from” the library of.
    10
  5665. 😮😮😮😮😮😮😮😮😮😮
    10
  5666. The set of books in Differential Geometry is a classic on its own as Calculus on Manifolds. Spivak also wrote a volumen about Physics for Marhematicians (a part of an unfinish proyect)
    10
  5667. When your math is so bad you barely understand any of this
    10
  5668. Post workout Meal: Differential Equations + Carb + Protein 💪
    10
  5669. Ironically as I was watching this I was wondering who started the trend of how Calculus books should be structured. Then when you got to Leithold you answered this question before the video was over. I learned from Thomas 3rd edition in the early 1970's, and have a modern copy of Stewart, just to exercise this old brain.
    10
  5670. This is really a great book. I felt like it was the perfect difficulty for me because none of the proofs required too much ingenuity, but they did force you to really understand definitions and the connections between the theorems. Linear algebra seems to be like that in general. But now I am studying from Roman's text and I love it thus far, and it's a wonderful follow-up to this book.
    10
  5671. Upside-down capital E stands for "there exists"?
    10
  5672. You are a brilliant educator sir. I am in Grade 10, and I am really interested in Mathematics,and Sir, you have made me knowledgeable in Calculus, and you have greatly escalated my interest in Mathematics,and now, I'm able to do better Maths than my seniors! Thank you so very much sir!
    10
  5673. These philosphy types of videos are great for the mindset ❤
    10
  5674. As a teacher I appreciated having answers for only half the problems. I would assign homework with some without answers to see the students mastery and others with answers to build their confidence. Publishers provided an answer guide with all included but available to teachers only .
    10
  5675. Yes its great to self study/self teach especially before you take a class. Learn the material before you take the class and you will do very well.
    10
  5676. Because a lot of people watch his motivational/beginner math videos.
    10
  5677. Wow I just looked for some advice about differential equations and YT promotes this to me lol
    10
  5678. Concrete Mathematics by Graham, Knuth and Patashnik is another great book. You may have already covered it as I did not check.
    10
  5679. Thanks for the video
    10
  5680. Some personal advice: If you want a job straight out of college (Bachelor's degree) then math/physics is not the best undergraduate degree. Do engineering or other. Now if you plan on going to grad school and are serious about Masters/PhD, then by all means do math. If you're undecided, what I did was major in EE but minor in math but at the same time, I took math classes for fun if I had time. My friends were like why are you taking "so and so" ? I'd be like, cause I want to learn more math duh
    10
  5681. I’m turning 40 and your videos inspire me to learn maths and keep going even on days I don’t feel like it.
    10
  5682. I know this book is free on project Gutenberg but Gardener adds a lot of helpful commentary plus a few good preliminary chapters. For example Thompson says to just chuck infinitesimals and moves on but Gardener explains why this is said, some history, and how the view of infinitesimals has changed since.
    10
  5683. Thank you so much! This helped immensely. :)
    10
  5684. Thankyou so much.. Tomorrow is my exam and u helped me a lot.. Idk the result.. But u gained so much respect
    10
  5685. A suggestion: get a copy of the book "Differential and Integral Calculus" by Nikolai Semenovich Piskunov. The best calculus book I've ever read in terms of cost-benefit and readability for the beginner. The book is a legend and is published til today, untouched, since 1982, in Europe, India, South America, Russia, etc...
    10
  5686. Wow I have my multivariable calculus test tomorrow and this will be on it, thanks!!!
    10
  5687. So my Diff EQ course back in 2021 did not use a textbook, nor were lectures very efficiently taught over Zoom (covid...whatever) and I relied on your lecture videos a lot while I was going through the class to skim by. I found that now I am needing it for my E&M course in my senior year (which my professor today asked me to refer to my Diff EQ textbook). You're always the first channel I go to to look up great textbooks, and I just think its somewhat serendipitous that this is a video that you post today. :) Just makes me happy and really appreciate your vids. I'll give this textbook a look! I also bought your Udemy course for Diff EQ :)!!
    10
  5688. Maths is going to the gym for the mind.
    10
  5689. I still have my TI-84 Plus after all these years in EE. Used it to the point my batteries actually ran out after years of constant use through high school to university. They truly are exceptional in what they do and I agree they should be used as a tool despite the fact that my university has always discouraged us from relying on them. We couldn’t use them in our math exams for example.
    10
  5690. How is the camera being controlled? It's so smooth
    10
  5691. modifying this, procrastination can arrive from becoming jaded or worn down by all the trick questions or correct answers marked wrong on tests to regulate grades instead of focusing on education now widely practiced by far to many institutes of higher learning. I get around this by exactly what you said: Get inspired - Find something that I like about the subject and can actually understand and enjoy it, ponder it, memorize it, correlate it, try to apply it, anything else you can think of, since the trick questions and correct answers marked wrong obviously aren't going to go anywhere anytime soon.
    10
  5692. Whenever you feel like you can't go that extra problem or study just a little longer, imagine there is a film crew documenting you on your path to future success...
    10
  5693. Logarithmic Differentiation rocks! It makes monster derivatives look like a joke
    10
  5694.  @TheMathSorcerer  it's not that insane if you consider that in Germany you do calculus already in the last three years of high school. I remember we did differentiation in year 11 and integration in year 12, and some analytic geometry in year 13.
    10
  5695. 😂😂
    10
  5696. it is hard lol I appreciate you honesty I graduated lately I want to do phD but I am too scared to do it
    10
  5697. functional analysis by Rudin is grandpa rudin. Take a seat my sons, I will explain you math.
    10
  5698. Thank you for the video. Excellent advice about not getting behind in a math course. I rang in the New Year catching up on solving Quadratic Equations for my math class. Now that the holidays are over, I will be more focused and back on track.
    10
  5699. The reason why I keep spending so much time reading thick science books or practicing something is because I LOVE IT. I never actually have to force myself into doing anything. I can practie violin or play table tennis for hours because it is FUN
    10
  5700. I'v read this exact book. Mine even has the same cover. I remember the end of the book being difficult for me. I have read every page of this book!
    10
  5701. This is the most detailed and understandable video I've seen through all of these equivalence relation videos. Thank you!
    10
  5702. "Wu Wei, Not forcing. It is not that you don't cut wood, but it is that if provided that you want to. Do it along lines where it is easiest to cut.", paraphrase of Alan Watts.
    10
  5703. I hope your right cause I have crossed that bridge with math and hope its not just a phase. But ive always loved learning, just never applied myself or had much self discipline . I think viewing everything as a game helps.
    10
  5704. The Feynman Lectures are always a great read.
    10
  5705. My biggest piece of advice for any course, math especially, is that every course seems hard when you HAVE to learn the stuff right before the next test. I have always had the luxury of being able to ENJOY math by virtue of the simple fact that I can start something, play with it, wade in gently or jump all the way in and I go at MY pace before I move on. I can do all the example problems, look up more, reflect on the ramifications of a point to my minds content as well. If you have to learn vectors NOW because there's a test next week, AND because everything from this point onward depends on vectors (and it probably will) then this course is going to suck for you (especially if everything depends on some minor mastery of the material you only just encountered ever-so recently). My opinion.
    10
  5706. I wish I know which mathematics to study in order of difficulty. Previously, I didn't hear of precalculus before I embarked on studying calculus. I don't know what abstract algebra is. Everyday, I am exploring branches of mathematics, writing down jargons in little notebook, deciphering symbols, etc. It is like learning new languages. Only 4 math books in my home library, I understand 75% of James Stewart's "Calculus, Metric Version." If I have that covered, I don't know what next book to read. Probably, linear algebra.
    10
  5707. That snicker was so classic. Whenever i saw my math professors during office hours, they automatically said, "I'm just gonna give you the answers."
    10
  5708. I wonder if you are teaching any class in college?
    10
  5709. It seems like students were given inspirational books a hundred years ago, or so. A classic German book is "Vom Punkte bis zum vierten Dimension" in Denmark students were given "The Adventures of a Danish Student" and in Sweden "Ungdomens Ingenjörsbok". That doesn't seem to be the case anymore.
    10
  5710. I am an engineering undergrad I have been watching this channel since my high school days, My february was good just because of you Guru Ji !! will make my March even more better.
    10
  5711. Math 💜
    10
  5712. YES, I HAVE AN EXAM TOMORROW. Btw, the video is very helpful, thanks!
    10
  5713. I'm 70 and I started studying math again after watching "Learn Mathematics from START to FINISH". When I was in college, I got as far as Integral Calculus. Since then I've tried to continue but family and work were always a priority. Now that I'm retired and only working part time, I'm trying again, starting with Susanna Epp's Discrete Mathematics. Your videos really inspire me and your book suggestions and reviews set out a great road map. Thanks for all knowledge and inspiration that you share!
    10
  5714. As someone with bad grades I know I have been rejected from job opportunities based on grades. I think they matter and those who deny it were either people with high GPAs who did not acheieve as high as they thought they would or people with low GPAs who managed to succeed. At the end of the day, I look at internship and new grad positions that require a 3.0 and I see a clear answer that grade do matter.
    10
  5715. I passed grade 11 pre cal because of you thank you so much
    10
  5716. Introduction to Partial Differential Equations by Olver is terrific. It is in Springer's UTM series. I've read several of the Dover books which were helpful, also. Strauss's book, btw, has a second edition. There is a pdf out there that serves as a solutions manual.
    10
  5717. Harvard graduate students have an average IQ of about 128 ( SD 15 ). My IQ is as high as most university students but I couldn't get into Harvard.
    10
  5718. Math was discovered but not invented -my thought
    10
  5719. I'M HOWLING RIGHT NOW. I lost it at, "blueberry pie", and "Larry is a tall man." Switch the instructor to a 79 year physical chemistry prof, and that was the fresh hell my senior year. Thank God we had to do it in the flesh. The class was total nightmare fuel.
    10
  5720. MIR (or мир in russian) means a) peace b) universe, planet
    10
  5721. out of all the videos... you were the best at explaining each step
    10
  5722. The Crazy Math Sorcerer is at it again guys
    10
  5723. Haha the illustrations look exactly like tarot card illustrations. Perhaps that's not coincidental...
    10
  5724. I agree. What he does, he does better than anyone else on the internet, from what I've seen of the internet.
    10
  5725. Four traits of successful mathematicians summary: 1. Hard work 2. Practice and solve tons of various examples/problems 3. Accept failure as a normal thing 4. gather as many papers/books/sources/researches/references as possible on a topic
    10
  5726. Do you have any book on topology to recommend for a undergraduate student?
    10
  5727. Amazing the beauty of quadratic equations🤯🤯
    10
  5728. Got up and ran 6.62 mi in the cold this morning. No better time than the present. Thank you sir!
    10
  5729. Absolute lifesaver! I've been stuck on this problem for about an hour and this helped a lot!
    10
  5730. Really loving the outdoor backgrounds!
    10
  5731. Engineering is also the most fun!
    10
  5732. Oh wow, seeing factoring sine threw me off but its actually really easy, thanks!
    10
  5733. Geniuses embrace simplicity - Terry Davis
    10
  5734. It's similar to the book in the schaum collection called "advanced mathematics for engineers and scientists"
    10
  5735. "it does take hard work" -- well, there you go -- that's why I'm not getting better at math LOL
    10
  5736. and if your friends are indeed ahead of you, there's always some of them who have the ability and willingness to help you get to their level.
    10
  5737. Today, I failed calculus. But this video is a signal from good, I'm going to study more and I'll pass it.
    10
  5738. I can relate to it. I live in a quarter with only math books of various fields from abstract to linear algebra to real analysis to pdes odes,theory of computing, logic . I do optimization problems, statistics and just have only one plate to eat, a few clothes and thankfully I am not even on social media.
    10
  5739. Hey professor I've been following your full lectures on Calc.1 and I've been learning a lot . I would highly recommend you if possible,to post some other full lecture playlists on some classes that you teach maybe precalc,college algebra or trigonometry.I think information is explained in more detail in such videos than in short youtube videos.
    10
  5740.  @Bollibompa  Just to make it even more fun. And no calculus was needed so thinking it that way it's just way easy compared to the Calculus problems.
    10
  5741. Combining technical with fundamentals is the way to do. Fundamentals tells you if something is undervalued. Technical analysis can tell you if the price is ready to start to move up. I'd rather start a position in a stock that is undervalued and about to move up (not that technicals & graphs are gospel) than buy an undervalued stock that has another 25% down move over a six month period, or more.
    10
  5742. Hello from 2022! Plus thank ya a lot
    10
  5743. Despite my issue with Dyscalculia, I will never stop trying to improve my mathematics.
    10
  5744. The master Yoda of math has spoken. You make the world a better place dude!
    10
  5745. I got through Baby Rudin just fine, once i got the concept of compactness the rest is fairly straightforward. Right now I'm struggling much more with Complex Analysis. My self study life goal is to master Measure Theory and then hopefully eventually Functional Analysis but it seems absolutely daunting
    10
  5746. Some community colleges here in California don't even require a GED or HS diplom. You simply take a placement test. Also, you don't necessarily need an associate's degree to transfer to a 4yr institution. There's some sort of agreement that allows CC students to transfer with only the required courses needed for whatever major you want to pursue at the 4yr institution you want to go to. But as the math sorcerer said, all this varies from state to state here in the US.
    10
  5747. Wouldn’t it be more rigorous showing both sets are subsets of each other to confirm the equality?
    10
  5748. This is a mechanical system. The stock market runs on fear and greed. It is a psychological framework. Not criticizing.
    10
  5749. That was really great man...thanks
    10
  5750. I upgraded my home office to a bigger desk and been doing a bunch of studying to not fall behind. As far as I’m concerned, the rest of spring and the summer are going to be online learning which’s something I’m not a big fan of but have to live with it
    10
  5751. Love your book review series because I also love collecting math/physics books!
    10
  5752. Used Book of Proof for my Intro to Proofs class and LOVED it! Read it cover to cover, well, mostly. The author does a fantastic job explaining concepts to a beginner but still preparing you for further math
    10
  5753.  @TheMathSorcerer  They certainly are. You do deserve the amount of notoriety you get. After all, your channels number of subscribers doubled this year.
    10
  5754. Real Analysis is the hardest for me .. i dont know what to do about it and same with its relatives - complex, metric, topology ... so i always focus on other courses like algebra , differential equations etc 😅 ..
    10
  5755. "YOU SHALL NOT PASS!" Gandalf ... and my Calculus teacher
    10
  5756. This is insanely simple but helpful bruh thank you.
    10
  5757. I don't like to memorize formulas, rather stick with basic principles. Let 10^s = x and e^t =x. So, 10^s = e^t. Next, I simply took the natural log of both sides. s(ln 10) = t and finally the ratio of s/t = 1/(ln 10) . Basic principles has always worked for me. Maybe it takes a little longer on a test, but then again I don't have to memorize formulas like the log conversion formula. Love your videos and in particular your series on Differential Equations.
    10
  5758. Still waiting for another episode of your bookshelves' row book tour right here... lol keep up the good work
    10
  5759.  @prilk1704  Methemetics is choice bro!
    10
  5760. Such a wonderful book. The first time I read it, it seemed to drop straight into my subconscious, and I could barely remember anything in it, but I suddenly got better at solving maths problems. Then I read it again. Unfortunately, I couldn't find a buyable copy and was using my university library's copy. I really should get another copy, and yes, it is applicable to a lot more than just mathematics. BTW, I have a copy of Einstein's "The Meaning of Relativity". A little paperback that you can fit in your back pocket, and I did. The intro by AE is amazing, showing his mind pondering why classical physics is not enough, using simple thought experiments that show that even special relativity is not complete, and then jumping into tensors.
    10
  5761. Absolutely love this video. Reflection is an INTEGRAL part of a peaceful life, it allows you to understand yourself and the world for how it is and how you can improve on all things related. Thanks for sharing!
    10
  5762. I cannot imagine troublesome students ever seeking good references from their professors. In Youtube, I am astonished to see the scales of activism and classroom disorders created by hostile students who harass professors, scream into their faces and make their lives miserable. It is unbelievable. For their antisocial behaviour, how can they ever expect good letters from professors? I have always believed in treating everybody with respect. Nuns in convent schools had taught me that and humility too. In a shop where I work, I treat every customer with respect always, even if some are criminals. When respect is given, it is sometimes surprisingly repaid.
    10
  5763. Oh my god! I was trying to multiply the power series together. Thank you so much!
    10
  5764. Its just so incredible how mathematics are explained and teached in the exact same way around the whole world. Just learnt this a few months ago in my university, the UTN of Rosario, Argentina. I'm impressed lmao. This is one of the reasons why I love maths haha
    10
  5765. Sir, I just love it when you solve math problems on paper. I could smell the pencil from here
    10
  5766. Just FYI, there is an "Extended Edition" of Halliday and Resnick as well, and it's as ginormous and comprehensive as any of the other ones you cited here. And as long as one is willing to settle for an older edition, copies can be had relatively inexpensively. For example, I see at least one copy of the 9th edition from 2010 for sale for less than $10 right now.
    10
  5767. US highschools goes a lot easy on their students then in other countries. Which in my opinion is great. It gives the students a lot more breathing ground.
    10
  5768. Thanks for this story. Kudos to her for not just giving up but finding a way to do it. That is encouraging.
    10
  5769. Seven months later we still in quarantine... My professor isn't having zoom lessons so The Math Sorcerer, you are my savior
    10
  5770. Looks like a good candidate for a Dover publication.
    10
  5771. It was definitely my hardest class. I loved Calc 3 and Diff Equations - but just because I could use the tables to find most integrals. I graduated 20 years ago and have been a professional engineer for the last 10 years. Calculus 2 is very valuable though - it gives you problem solving skills needed for higher level engineering courses. And it helps you gain confidence to do well if you want to pursue professional licenses later on. I have a few textbooks - going to used Book stores is a godsend....I have the Stewart text. And yes, I still like to work problems to keep my problem solving skills up to snuff in general, even though I review plumbing engineering drawings for a living. Mathematics is the Queen of all STEM fields - the language of STEM and thus more invaluable than you will ever know until you get out of college. God Bless you Daniel! And yes - I got a C in Calculus II - it is the time in your life in college that can make things challenging.
    10
  5772. you're the best, if i could start math all over again, i would follow your advices from the beginning and wouldn't waste time and getting frustrated
    10
  5773. Thank you for showing more of Thompson's books. Yeah you can't really leave the limiting process out of Calculus. You should check out Calculus: A Genetic Approach by Toeplitz too. Thompson does mention the limiting process briefly in "Calculus Made Easy" where he talks about "different degrees of small-ness". Thompson's books are good if you want to quickly learn techniques without the "full treatment" of all the underlying theorems. I liked his explanations of e, partial fractions and differentiation. I still have my copy of Stewart from high school, and it's actually very solid. Clear explanations, covers the theorems, plenty of problems and examples. You get Calc I, II, and III pretty much all in one book, I just barely started integration and I am attempting to read the entire book. This Theory of Substitutions stuff is really cool btw, please do a video on that!!!
    10
  5774. Angle grinders work alright
    10
  5775. Mir Publishers has some of the best books ever. Its sad that the new publishers these days don’t let anyone take the books….its all subscriptions.
    10
  5776. Man, this helped me A TON. Gonna memorize this for entire life! Thanks!
    10
  5777. every one starts somewhere
    10
  5778. Keeping up with your lateral raises?
    10
  5779. After an incredibly disheartening try at school, I’m back in it working on my BS in Data Science. These videos make me feel way less isolated in this time and I’m grateful for that.
    10
  5780. When I was a student, I had to do all of the homework, and study the posted solutions after submission. Attend class and office hours! When I need to learn new stuff work-related, I have to go through the details of a derivation, and do problems, if I'm reading a textbook.
    10
  5781. That is a respectable collection!!!
    10
  5782. Thank you for the review. I was wondering about this book. He has a YouTube playlist that accompanies the book as well.
    10
  5783. When I look at a process described by math, like the motion of a simple pendulum, this is what makes me think it is both. It's amazing that we humans create formulas that so accurately predict phenomena. That last sentence really has 2 things in it. We create the formulas. And the formulas PREDICT the phenomena. Now turn THIS last sentence around and you can also see that the phenomena CONFORMS TO the math. It "follows the rules". Why would it do that unless there is some intrinsic intersection between math and the universe.
    10
  5784. wow the first Mir Publishing book you have reviewed that is not available at internet archive.
    10
  5785. Gödel's incompleteness theorem suggests you might need to change the title of this video 😛 there's no finish 😂
    10
  5786. Calculus for Dummies is more my level
    10
  5787. Great word of wisdom from The Math Sorcerer
    10
  5788. Thank you sir for this motivation
    10
  5789. I think the best part of failure is that you know your weaknesses, for example I have and exam tomorrow of Algebra II and a week before I was like, oh yeah I think it's easy, but when I went to solve some doubts with the teacher, then I discovered that I knew just a bit. After that feeling of failing and think I was wasting time, so the good part was that since tuesday I was studying a lot harder and focusing what I didn't know and well, maybe I will fail tomorrow but at least I worked hard and the solution it's study more and be more efficient. Math Sorcerer, just a question, what's the best form to study maths in general? First going through the theory and understanding all the propositions, theorems, and their demonstrations, and then exercise, or going for exercises first, try them and then study? Or for example make schemes or something like that. Thank you!!
    10
  5790. I love this video. Learning and teaching is such a "human" effort, even with something as abstract as maths. The beauty of it is that it's scaffolded by definition; each theorem works because the theorems it's based on work. It's liberating to finally break through and realise it's not like other topics; doing comes before understanding.
    10
  5791. No entendí nada de lo que decías pero, logré entender el procedimiento XD
    10
  5792. Something that is related to what you mentioned on this video (which I don't know if you mentioned on any other of your videos) is the effect emotions can have on learning. I've been struggling with a rough situation, and I can see how my focus has been reduced, and, therefore, my ability to grasp some abstract definitions and examples that might be key to understand a subject. Taking breaks, as you said, has been fundamental to make up for my apathy towards academic related stuff; making the best of how little time I can use to study productively Summing everything up, breaks are great for any kind of circumstances. Furthermore, they're incredible if you can be at your best for learning all time
    10
  5793. I bought the book! Printed in 1956 and never opened — a gem. Still haven't found the definitive meaning of Mathematics, but I'll be reading it all summer.
    10
  5794. I just wanted to add that having a learning disability does not mean you have low iq. And it does not mean that you can not be good at math. I have dyslexia and math was always my favourite subject. So much that math became my major in university.
    10
  5795. THANK YOU! What a simple and brilliant explanation.
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  5796. For me i would say it was/is Algebra 1 (aka commutative Algebra). I‘m a mathematics student in Germany studying in my 4th semester in my bachelors degree and this course is by far the hardest yet. Our professor is himself a pretty well known algebraic geometer and is lecturing algebraic geometry 1 next semester and is using algebra 1 this semester to lay foundations for that lecture which makes this lecture pretty hard.. I‘m still motivated tho and am not doing as bad as i thought i would so i will keep on building my mathematics abilities and master this course. Edit: This course is about commutative Rings, Moduls and homological algebra
    10
  5797. I got a 6/10 in my linear algebra exam back in June but let me tell you it was harder than these hahaha also: the second question part a) says unless B = 0 or at least that's what the solution is using anyways pretty interesting video, I also thought the 80's one would've been harder, at least sounds intimidating
    10
  5798. 2 engineering degrees here. Is this supposed to be funny? This is EXACTLY what half my classes were like.
    10
  5799. you can be worth for society in any place (any carreer equally useful), maybe that idea can help. Maybe can help seeing it as challenge so to strength your weaknesses
    10
  5800. I choose to be happy
    10
  5801. Best comment 😂😂
    10
  5802. It's so true. I remember being 14 (I'm 15 now 😂) and looking at integrals for the very first time, thinking "I want to do this too" and after learning about it I wanted more and more maths, that's crazy
    10
  5803. Being a little older is like a superpower. Less stamina but less distractions. Don't feel YOLO as much
    10
  5804. Buy High Sell Low, that's how I roll
    10
  5805. If your passion is real, your current performance does not matter at all. The more you commit yourself to your work, the better performance you will attain.
    10
  5806. I love that you’re passing on the joy of mathematics to people who want to,learn. What could be better?? 🎉
    10
  5807. Where is the review of Abbott's Understanding Analysis? 😢
    10
  5808. Thats sixth form i think I did international a levels Not from britain but now this syllabus and examinations are offered all over the world That was my highschool education We had pure maths 1,2,3 and then you could choose between mechanics and statistics for the applied math portion
    10
  5809. Can i use James stewart calculus for my exams?
    10
  5810. Teaching things yourself really does help a lot. I did this myself and knew the material so well that my calc 1 professor actually thought that I had already taken the class before.
    10
  5811. It must depend a lot on the teacher because I really liked it. The teacher was really good. It was like going to the zoo for math so skip around to new ideas a lot.
    10
  5812. Have you looked into Kline, "Calculus: An Intuitive and Physical Approach"?
    10
  5813. This video taught me more in 5 minutes than I learned on my own in 3 hours
    10
  5814. Man these kids are lucky, I wish I had your class! I bought your Udemy courses and they are great!
    10
  5815. MIchael is studying multiple appendices simultaneously. Gastroenterologists only study one at a time.
    10
  5816.  @TheMathSorcerer  nice, thanks! Even the MAA reviews says that this book is dangerous because how well written it is.
    10
  5817. That is cool.. I am from Saudi Arabia as well. There are not many Saudi mathematicians. Mainly because higher education in Saudi Arabia is about two generations old.
    10
  5818. Symmetry about the diagonal is a quick way to determine commutativity as well.
    10
  5819. I used Leithold for three calculus courses beginning in 1969 at the University of Missouri but it was the first edition which is significantly different in organization and format--it didn't highlight key equations, for example. I found the material quite difficult but that might partially have been the instruction, typically in massive 100+ person lectures. Or maybe I was stupid. However, I actually did well in the differential equations course I took after calculus, and I apparently learned something as I had a successful career as an engineer, ending up as a technical fellow. I did use calculus at work maybe every other week although typically it was integrating or differentiating polynomials or exponentials so not super complex. For engineers, I thought Leithold emphasized proofs of the underlying assumptions too much and focused too little on practical applications and the types of problems an engineer would need to solve. Calculus was taught by the math department in the College of Arts and Sciences rather than the College of Engineering which was a mistake, I think.
    10
  5820. Got so stuck on this, this was a really well-done video on the question! Thanks, heaps!
    10
  5821. Wow this is the exact book I used in my Basic Concepts of Mathematics course during undergrad. If I'm not mistaken some answers in the back say "exercise left to the reader" which I remember was so disheartening 😅 ahh good ol days
    10
  5822. The content about math you put out is incredible! You are an inspiring person and full of wonderful wisdom!
    10
  5823. Good talk
    10
  5824. Your book reviews are very good.
    10
  5825. Thank you so much for this, letting go off the things you don't get right away is okay. I came back 10 years to math and was the best decision ever. The funny is that now I understand topics much better than I did a decade ago.
    10
  5826. no dislikes say it all
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  5827. Nice to see a Brazilian here. I'm a agriculture engineering student in Brazil. It would be nice an episode with a agriculture engineer. The field is very multidisciplinary.
    10
  5828. This sadistic professor 😖🤯🥵
    10
  5829. Harder problem.
    10
  5830. Interesting. As someone who is okay at math, Grimaldi's discrete mathematics book seemed very approachable. It and "book of proof" helped me not be so scared of less "computational math".
    10
  5831. Spivak might have the best problem set in any “Calculus” textbook. 90% of the exercises are worth your time and always a step ahead to make you think without falling into triviallity and tedium. Doesn’t hold many punches, but that’s how you learn more in the end
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  5832. That is really cool!! Makes me want to compute great circle distances now.
    10
  5833. Physics books in Spanish would be great for building vocabulary, too, since they usually have even more text to read than math books.
    10
  5834. I'm according total with you, engineering major is much more intense than other courses, so sometimes i think that we are going to much time involved in theorical activities e don't go to the practice, to make, commit errors and learn with them. It's a little frustrant because the undergraduate courses apparently demonstrate that you dont learn necessary competencies to solve the problems of the real world or become the type of professional that the market is looking.
    10
  5835. Haha oh man
    10
  5836. I just finished my class, and couldn't understand my doctor explanation. This is way better, so thank you SO much ❤️❤️❤️❤️❤️❤️❤️
    10
  5837. I believe that, when students skip going to class, they are being extremely disrespectful to the professor. Also, skipping class puts students at a disadvantage because they miss important information and announcements. 🙁
    10
  5838. Being good at math is really a god- gifted thing
    10
  5839. I tutored Calculus 2 (Integration) for 3 years while in college over a decade ago and to this day I can vividly remember each semester having to tutor the integral of secant cubed multiple times! Every semester it was a challenge to remember the integration by parts trick. It's introduced in a section covering all general forms sec^n*tan^m, with different rules if m & n are odd or even. But the one situation where n is odd and m is even (in this case 0) was always the toughest!!
    10
  5840. Thank you, Jeff Bezos with hair!
    10
  5841. Very true indeed! There's always a lucky bloke who's solved the difficult questions of a test just the previous night. At the same time, a regularly studying guy misses that question 'cause he did not solve that earlier. Almost nothing we can do about that
    10
  5842. Trump,You need to hire this guy!
    10
  5843. I don't know why, but I laughed out loud all through the video!! 😂😂
    10
  5844. I'm training myself to be a polyglot. Trying to see how far I can push my brain.
    10
  5845. Greetings! Wanted to enquire whether the 2 tomes of “Differential and Integral Calculus” by R. Courant are good, what is your personal opinion?
    10
  5846. MS? You never cease to outdo yourself!!! You give the best math study advice that's out there! You're my go-to math guy!!!! :) :) :) :)
    10
  5847. Your videos have been a life saver for me this semester. I would definitely not pass my discrete math tests without you
    10
  5848. I love how the math looks like it makes sense but I’m reality, it’s complete gibberish. Especially how there’s one that’s a function of x and y while there’s no y in the function. Fucking gold
    10
  5849. Analysis = Calculus + Topology. Topology, that's why analysis is so difficult for the beginner.
    10
  5850. Calculus with Analytic Geometry by Howard Anton (3rd edition) was the book I used in HS and college years ago.
    10
  5851. I think clearly some people are smarter than others, but I also think that two things dominate raw ability: work and experience. You talked in the video about hard work, but could it be possible that your friend was better at math than you, at least for a while, because he'd done more math than you at school? Or maybe he'd been home tutored and had already covered some of the areas you were doing then? I see this all the time in programming - it's always much easier to write a particular type of program a second time compared to the first. There's this myth of the "10x programmer" - someone who's 10x more productive than other programmers. I feel happy calling it a myth because 10x just isn't a reasonable factor to apply to a human activity. But it is true that some programmers are much faster, but when that occurs it's usually because the person has a lot of experience in the area they are currently working in. Throw them some novel problem and they wouldn't be much faster. Anyway, my advice to the person with the question is: do all the problems you have time for. Familiarty is the key, not some notion of talent or smartness.
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  5852. It's an amazing video. Thank you very much for teaching this nicely 😊. It helped me a lot. I really enjoyed watching it. Hope your channel grows greatly.😄😊
    10
  5853. Imagine how much easier and interesting math learning would become if everyone could sharpen their own mind like that pencil whenever it went blunt.
    10
  5854. Funnily, I'm finding that learning abstract algebra, real analysis, and the like is easier than calc or ODE because of the proofs. I thought Discrete was one of the easiest classes to understand, because instead of throwing equations and algorithms at us, we were given the tools to understand why the equations were what they were, and why they work, based on fundamental axiomata.
    10
  5855. 2:36 You clearly haven't met me
    10
  5856. Never heard of the ratio test but you explained it so well
    10
  5857. After my first career as a radiochemist was governed by employee evaluations, as an automation consultant, I dealt with a continuous stream of routine contract audits. Live with it. As D&D players know, rolling 18 is easy. Progressing to level 20 is godlike. (:
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  5858. i love maths that all matters
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  5859. Thank you so much for making this video. This is a very good morale-booster for not just students but also for anyone who needs to sit down and learn in order to reach proficiency in a skill. Such as language learning, military tactics, sports. The best thing about this video is that the lessons don't just apply to math, they pretty much apply to all skills in life. And as someone with an MID (Mild Intellectual Disability), hearing you explain about your students with learning disabilities was very reassuring. I've always had a hard time learning in school throughout my life and had distressing experiences with learning as a result. I gained a mental barrier from my insecurities and an aversion to learning complicated subject matter. I still dislike learning but I do it anyway because I want to grow as an individual, I want to become someone that I'm finally proud of. You can't like everything that you do in this life, but you're gonna have to do it anyway. Not everyone can be talented and a genius, but we all can decide to improve ourselves one day at a time. Thanks a ton for this video, sir!
    10
  5860. Hey sir ,could you upload a question every day of olympiad mathematics??plzzz plzzz
    10
  5861. I hope you have videos on proofs for beginners! 😁 I'm not a math major, and Im not in school, but I believe I can learn this material fairly well before enrolling!
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  5862. That was my book when I took statistics back in the 1980s. Statistics was for me, one of the harder math classes. To be honest, I realize its importance, but I really didn't like statistics that much.
    10
  5863.  @user-og9nl5mt1b  ty for suggestion 😀
    10
  5864. things who sound nice but are stupid => dangerous things who are smart but not nice-sounding => are going to be ignored (dont get their deserved attention) thing sound nice + thing is smart => powerful stuff it´s nice to see videos where someone is still able to focus his attention on to something "little/short" for me than 2 seconds - this is something rare today, thank you.
    10
  5865. Can you do a video on college curriculum? What topics for undergraduate and graduate and in what order? That would be nice
    10
  5866. Blessed be Mr. Sorcerer. I don't even bother showing up to conferences, I just search in your playlist. Blessed be.
    10
  5867. you mean the top 0.001%
    10
  5868. volume is kinda low
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  5869. only video i could find that was actually like my problems
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  5870. Dear Math Sorcerer: Thank you for the energetic lecture on limits. It would be fantastic, if you could do a lecture or demonstration on the Epsilon Delta definition of limits and the associated proof. Many of us who are either taking calculus or have taken that in the past do not have a thorough understanding of the concepts. Thanks again and I look forward to viewing the material that you have posted.
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  5871. Just want to say I'm really glad I found your channel! My school didn't teach me math properly which made it difficult to grasp some math topics in high school and now in college. Your love for math motivated me to self-study and to rebuild my neglected and flawed math knowledge.
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  5872. When you just see all the work on the page it looks insane but once you actually get into it it’s just a lot of book keeping. Great video! Thanks for the help
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  5873. Not only that, but I feel like being able to joke about math classes and math in general can make math seem less intimidating as a whole! Being able to relate to falling asleep like in the "Online Math Classes Be Like" video made me appreciate that other students probably feel the same way sometimes with learning about math for an hour or so and that it can be difficult feeling like math is a this big scary subject when looking at all the equations that you have to complete for a class. Thank you for the goofs and gaffs, can't wait to see more comedic videos on your channel!
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  5874. conjecture: any given math class including and beyond precalculus is the hardest math class that most of the class will ever take
    10
  5875. Making a difference, one homogeneous linear differential equation at a time. Thanks for sharing these, they really help! 🐴
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  5876. I just finished two Cal 2 test and like you said it will get worse 😂 but, I like it .
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  5877. Germans as well :D
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  5878. This is a good question. Well I studied at UCLA and I met different type of physics and mathematics students. The majority were Asians. Some were average but work hard for their courses and some were very smart. Same thing for Indians. I think in the US we have more flexibility in highschool and to be honest is not a mystery that the money is in the sport and entertainment industry so many students in the US don't really care about learning much mathematics and school must adjust requirements for graduation. So when US students start undergrad college course the consequences of a weak background starts to reflect. Greetings and keep up with your videos they are very interesting.
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  5879. Sometimes, I actually experience people getting a bit hostile when math is brought up as the subject. Like all of their traumas from high-school or college emerge... I don't know. Do that ever happen to you? Also, i've done my fair share of work as teacher substitute in math courses for adults at high-school level and I've definitely met a lot of hostility there.
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  5880. wow you blinked only 23 times #respect
    10
  5881. I love this professor he seem very happy when explaining he really love his job not like others ,wish he teach me ,and thank youuu i really understood it .
    10
  5882. This is one of the best “confused and frustrated” impersonations I’ve ever seen... I was practically in tears watching this 😂
    10
  5883. Cut the stack in half and replace it with Physics books. Sometimes, too much is a little useless. You always need to know what you're up to. Not just read read read and read and ended up being a futile.
    10
  5884. Can you review the book BASIC MATHEMATICS by SERGE LANG
    10
  5885. Oh my god, I am watching this while having breakfast, MADE MY DAY!!
    10
  5886. today is my birthday 💗💗💗
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  5887. Thanks sir. This helped me sm i was literally so confused while solving a maths expression. I couldn't figure out how the square root of 18 is 3√2 , But luckily i found out this video and you have explained it quite easily. Tomorrow is my maths exam. Tysm
    10
  5888. Borrowing pens from his student? AGAIN? and they get extra credit for it. Notification squad.
    10
  5889. the best lecturer I have ever seen!
    10
  5890. I think that you can not equate the amount of concentration and focus one gets while being really involved solving a problem,writing a proof or triying to grasp an idea,and sometimes if you are lucky you get it,and this euphoria comes you,and sometimes you don't,is just a question of time and perseverance to get it!
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  5891. Hi could you please do 7.2 inverse transforms and 7.3 transforms of derivatives and 4.9 solving linear DEs by elimination. I wish all proffs can teach like that your videos helped me so much in DE thankyou!
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  5892. 42
    10
  5893. Your videos really help me understand these concepts very much! Is there any reason on why you didn't cover section 4.2 ?
    10
  5894. Thanks for keeping up the positive videos and the humor
    10
  5895. I fail a lot and hope to get better and do better but not sure what else to do or say. But hope to see more and understand this more. Thank you.
    10
  5896. You got ninety factorial. Wow!
    10
  5897. I studied graphic design in uni, and working professionally in the 3d industry now, i realized that i love math while using trigonometry in a 3d software, i am following the order of your book recommendation I'm studying calculus now math is very addictive i love it, for me it's more entertaining than art.
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  5898. It's interesting that you say physics was the class that made you feel dumb. I was the top physics student in my year and I always found math to be challenging. I ended up pivoting from physics to pure math precisely because math was challenging me in a way that physics never did.
    10
  5899. Honestly you make the best content man! Your DE lectures are amazing and you have the enthusiasm that most professors lack. On top of that you’re a motivational speaker!
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  5900. I started your algebra course last week and at the same time, started working through Blitzer's College Algebra and Trig 4th edition textbook. I just started complex numbers and so far your course progression has been exactly the same as the textbook. Even the word problem section matches up. They seem to compliment each other very well. Did you plan it this way? I should note that I am doing every example in the book as well as in your videos and not moving on until I am sure that I understand "the what and why" of each example problem. I'll recommend your course too anyone wanting a solid foundation in algebra.
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  5901. Omg, why are you so cool. I admire Mathematicians since I was a child, Math was always the hardest subject and gave me countless nights crying because of how difficult it was for me to solve it. But I've noticed that when I practiced more Math my life became more easy and made me able to tackle others subjects with not too much difficulties. Sadly Math here is a synonym of accessing to a career in engineering to take your family out of poverty and not for fun. So glad having the advice from this man who looks like a mixing between Jeff Bezos and Isaac Newton, you are the kind of person I imagine when I think on the top US Universities, a true Math genius who shares his wisdom with us.
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  5902. I believe you spelt "thicc" wrong in the title and thumbnail
    10
  5903. I bought that book a few months ago. Worth the $10!!!
    10
  5904. A free online digital version of this book can be found at the internet archive website. It's not very high quality but it's good enough and readable.
    10
  5905. I am a homeschool mom and found your video while searching for vintage arithmetic books. I am using a curriculum first published in 1912 with my 6 year old. The history of math education is so fascinating to me. As a millennial parent, my perception of math education was that it was static until the 80’s or so but really we’ve been going back and forth on method and content since the 19 century. Parents have been complaining about “new math” since then.
    10
  5906. It's kinda funny that this book is written at a similar style as Calculus made easy in terms of structure. I bought and read the calc made easy book that you recommended. Awesome Book !! ! Ifinally understood partial fractions !!!!
    10
  5907. its a bit weird but I get the exact same impression; for example whenever i have a period of doing lots of maths, I seem to be better at philosophy and generally think quicker
    10
  5908. Please continue making these videos I really need your words
    10
  5909. Thank you; this is exactly the video I needed! I have taken some post-graduate maths courses, and I have a PhD in another field. I've been trying to fill in some of the gaps in my maths knowledge through self-study. Figuring out what I should study next has been the biggest challenge.
    10
  5910. Amazing!! I can’t wait to learn how to write proofs so I’ll be able to read a book like this one or the real analysis books.
    10
  5911. Thank you so much for this video
    10
  5912. Gonna take your advice mate. I'm still on time :)
    10
  5913. Thank you for your teachings and advice in mathematics. Cheers!
    10
  5914. Do problems as many as you can; read the book from A to Z, and then from Z to A repeatedly, and try to solve some more problems. Looking different examples from different number theory books will help. That is how I studied mathematics in high school and college.
    10
  5915. I am an 11 grader and facing difficulties in maths plz make a separate video for how can develope problem solving skill and when I understand the concept and easily solve the problem but after some days I forget the concept and the numerical . So how can retain not memorise after understanding the concepts
    10
  5916. I am a disability student and unfortunately plagiarized on my Psychology paper last year. It does not stop you from reaching your goals. Dont think its the end for you. It certainly didnt stop me and Im doing much better now. Also I switched to math and stats coz thats what I wanted to do always.
    10
  5917. The math sorcerer's sister
    10
  5918. If your school has a class with Differential Equations and Linear Algebra in it, like the school I went to, then that would be a totally different argument. I would say I’d prefer calculus 3 before a class like that, but if you’re talking about just DE, then I don’t think you would have to take calc 3 before it.
    10
  5919. Your shirt matches the books behind you pretty well.😄
    10
  5920. Super saiyan
    10
  5921. Applying this study method right now... So far I've read about 4 chapters out of Boyce and diprima, and everyday starting at the beginning-ish of the book, chosing one or two problems from each section up to the section I'm currently at for warm up, so that everything stays fresh! It's been a fun way to try to beat the feeling that I'm always forgetting stuff
    10
  5922. I struggle with explaining this when people ask me "so, where do you use this stuff?". Maybe I don't specifically use that specific stuff anywhere (or maybe I will). Math, rather, is an exercise in problem solving. The final answer doesn't interest me as much as a detailed solution does. Finding a solution to a problem is the interesting part. It just so happens that in math we express ideas and statements as arrays of various symbols, because it's convenient, but principally, I don't think there is much difference between a math exercise or solving every day problems. Given the mathematical training, though, I have faith in solutions to my every day problems being sufficient or well-founded.
    10
  5923. good
    10
  5924. Классно!
    10
  5925. Could you do a couple of transition videos from video #3 to this one? This is so much more challenging.
    10
  5926. Can u make a video on integral.. To find the are under a graph why we use it's antiderivative. What does area under a function have to do with its antiderivative..
    10
  5927. None. Pick up your books, go through them and do something with the knowledge. Unis don't deserve our money anymore.
    10
  5928. What is your opinion on P=NP? At the firm I work at we mostly have people with a engineering/cs/math background. The general view in the office is that P!=NP. I think this would be a great topic to cover, and I would like to hear some of your reasons behind your conclusion. Also great book review!
    10
  5929. I have been stuck on a problem like this for hours, this helped so much!!!
    10
  5930. I’d be nice to upload more lecture style videos, maybe it’s the way I’ve been taught. Who knows.
    10
  5931. I know for some teachers, the freedom to make monstrously difficult tests is a big factor of the enjoyment. This is why you don't want me to become your teacher.
    10
  5932. Going to have to say that Python is the better language to take up. Used both R and Python in a statistical machine learning course and it was extremely difficult to understand the R examples, while it was very easy to understand the Python examples.
    10
  5933. This resonates so much with my own experience. I have lost relationships and sacrificed other stuff for my passion in math and programming. I’m still in college and came to the same making-social-corcles-is-essential conclusion myself. Thank you for this video
    10
  5934. This make so much sense and meaning and can relate to it a lot and understand a lot from it. Thank you.
    10
  5935. I use "University Physics with Modern Physics 15th Edition". I also have a book with solutions to ALL the problems. Highly recommend.
    10
  5936. this guy is a legend, still replying to comments
    10
  5937. Perfect timing, my upcoming test has this topic
    10
  5938. I suggest to take math major and go for applied math all the way, you can learn fluids, solids, computational science depending upon your interest
    10
  5939. You're great man. This helped a lot. :)
    10
  5940. I thought this was going to be super complicated, i easily understood it, thanks
    10
  5941. I mention this book in the first lecture of all my CS courses. For me, this book was like watching the Matrix, the real one. Not only I knew how most math we need for programming was made, but it is homomorphic to source code. And, source code is isomorphically transformed into machine code, as stated on the Red Dragon Book (Aho). Beautiful, indeed.
    10
  5942. His name sounded like my name 😄😄. You gave great advice. Sometimes studying for 10-12 hours and becoming unmotivated comes with the territory. There are times I look at a math proof problem for my class for 45 minutes and still don't have a good idea how to prove it but that's ok and maybe expected. Like you said, it's a sacrifice made for a short period of time (2 years, 4 years etc.) So, I think, make the most out of it and study long and hard and as the math sorcerer has said before, don't look back 10-20 years later and have regrets about how your studies turned out. Good luck.
    10
  5943. Sometimes supplementary texts help. For probability, the Blitzstein and Hwang book is really good. For statistics, we used the DeGroot and Schervish and the Casella and Berger books at RU. There is the balance of taking the time to read other books and economizing on time. That is why it is best to start early in the semester and be diligent every day.
    10
  5944. I didn't watch the video yet, but my guess is 1) they practice more and do more problems 2) they've been exposed to math from a younger age 3) they find maths interesting all of these factors help people learn math faster but the most significant one is the first one
    10
  5945. Attending physician, same here.
    10
  5946. Can you do a review on "Plane Trigonometry" by SL Loney
    10
  5947. Lol ahaha
    10
  5948. En algunas ocasiones dejo de estudiar porque me desanimo al no entender todo al 100%
    10
  5949. Finally it's here !
    10
  5950. I need advice on a major! I have to declare in 2 weeks and I'm torn between math and CS. According to US news my University is ranked #13 in the country for CS and #16 for math. My career goal: I want to go get a Ph.D., work in research, and stay in Academia. My research interests are in the theoretical side of Computer Science, or anything dealing with major honestly! I feel like I'm more passionate about Math. I'm pretty bad at programming and got into CS because of my love for math. However, I'm still fairly new at doing proofs. My advisors say I can't go wrong with either of these choices and it seems like everyone I talk to is telling me both work. I just can't choose! Both can lead me to my career goal. I'm more interested and excited about math but worry it's not practical enough :/ Can anyone offer me advice on which one to major in? If I choose CS I will JUST be getting a CS degree but if I do math I will minor in CS. I don't have the time to double major. Courses I'm taking regardless: Programming 1, Programming 2, Calculus (1-3), Linear Algebra, Discrete Math, Cryptography, Numerical Linear Algebra, and Combinatorics. Courses unique to CS major: Programming 3, Intro to Computer Engineering, Machine Organization, Algorithms, Mobile App Development, Software Engineering. Courses unique to math major + CS minor: Real Analysis, Abstract Algebra, Elementary Topology. So yeah, CS requires more classes than the math major + CS minor. There are fewer courses for the math major but I'm worried about how I'll handle those 3 proof heavy math courses. I wish I had more time to decide!
    10
  5951. I miss college algebra. It was my first math class in college. I remember having to go to tutoring for it but once I felt more confident I did well in the class. Soon enough I was convincing my friend to take calc 1 over the summer, he was afraid we wouldn't pass because of the time restraint but I knew we could do it. We then had that same teacher for calc 2 and diff eq. We still keep in touch today. My buddy went on to work as a chemical engineer for a paper mill and now I'm in graduate school for applied mathematics. That was a cool problem that brought me back to those days. Thanks for posting
    10
  5952. I barely got an A- in pre-calculus last month😌 It was the trig that made it so hard. I have the 9th edition of Sullivian's algebra & trig, as well as a pre-calculus book by Stewart, Redlin, and Watson. I credit those books for helping me keep my head above water. But clearly, I need to do some independent review before calculus this summer, and these books will definitely help me get ready. Thanks!
    10
  5953. Shadow wizard money gang
    10
  5954. No numbers were abused in the making of this video
    10
  5955. I set a number of pages to read everyday. It's my goal to read every page of a book. I write down the date on a notecard everyday I read. Limiting the pages I read keeps me from burning out and reading to much in a single day. It also helps me predict when I will finish books. When I get excited about math after reading for the day, I look for new books and applications. I have successfully completed over 50 books with my method. It took me years to be a successful self studier.
    10
  5956. It looks a lot more complete than online lessons.
    10
  5957. Don't judge a book by its cover. Smell it! 😀
    10
  5958. For SICP try out Racket, it's a Scheme that comes with a neat little IDE and it also has a SICP mode.
    10
  5959. It is also important to do math not because it's necessary, but because the level of difficulty is stimulating. I cannot express how satisfying it is to reach the solution to a difficult problem, especially when the solution is compact and elegant.
    10
  5960. Isn't there a glut of PhDs in America today? Esp. when you can "buy" two or three from India or China for the price of one American PhD?
    10
  5961. you are a god tier professor
    10
  5962. Hello
    10
  5963. mid terms are coming up
    10
  5964. Not very ethical for that instructor to let everyone see everyone else's grades.
    10
  5965. I would say the main thing undergrad research can (sometimes) provide is the understanding of what research feels like and can therefore help you decide if grad school is right for you. I think it often seems much different than what one might expect as an undergrad.
    10
  5966. Me trying to understand logarithms back at high school
    10
  5967. Corona brought me here 😂😂😂
    10
  5968. I took this last semester and already forgot about it. When I saw the questions I almost got PTSD LOL
    10
  5969. lol he doesn't have the lazy eye. so he's better looking than Bezos.
    10
  5970. Interesting, my university in the USA never allowed us to use calculators for our math exams. We were always encouraged by our math department to not do so during our lectures and discussions. Needless to say, they made sure the math was doable by hand.
    10
  5971. Thank you for this video. This video spoke to me. After failing my test i was devastated. I looked for books to learn math from on YouTube and found your "learn math from start to finish " video in 2020, bought some books and since then i learned an incredible amount of math, now math excites me.
    10
  5972. In 1998 Scholes' firm Long Term Capital Management, lost $4 billion in six weeks. ( BBC April 28, 2012)
    10
  5973. lol, im in software engineering at my university second semester ever doing computer science anything. We're learning C right now and it kind of blew my mind how integral C is to every modern language and still plays critical roles in the foundational structures of operating systems
    10
  5974. Thank you! I've been having trouble remembering but this made it so easy! My Statistics midterm is tomorrow; this video helped the concept of boundaries 'click' for me. Much appreciated!
    10
  5975. Este se ha convertido en mi canal favorito para practicar inglés y para aprender sobre temas útiles para la vida diaria.
    10
  5976. this is super helpful! thank you!
    10
  5977. I have a math book collection too so your book review videos are a boon. Thank you MS !!!!!
    10
  5978. thank u. this almost 4 minute video just saved my grades 😔✊
    10
  5979. One day we'll raid his library and live in it! Mwhahaha!
    10
  5980. Just in time! I’m preparing to apply to grad school. Thank you for this!
    10
  5981. The following program you learn in Germany at undergraduate level in mathematics: Linear Algebra and Analytical Geometry I and II Analysis I to IV Applied mathematics, mostly numerical mathematics and a computer course, often also stochastics and linear optimization.
    10
  5982. To achieve a goal, write down all the obstacles between you and your goal. Then knock the obstacles down one by one. When you have knocked down the last one, you have achieved your goal. OBSTACLES ARE THE SIGNPOSTS TO YOUR GOAL.
    10
  5983. I want to learn math logically and conceptually. But in my school, they only want good marks and make me learn formulae and practice book questions only without any concepts. Learn the formula and put it in the question. I want to learn whole concept about what numbers really are!
    10
  5984. Getting high on Calc is the best
    10
  5985. I took topology before doing multivariable calculus, and I think it was absolutely the right move. Topology might have been a bit easier to do after or at the same time as, but multivariable calculus is so hard on its own that any advantage is well worth it.
    10
  5986. the stamp on the 3rd book is in Chinese, it says " SiChuan University, Department of Computer Science, Books and Documents Room" which is like a small library resides in the CS separtment of SiChuan University in Chengdu, China.
    10
  5987. I admire Elon Musk, I like his work ethic, he is very determined to achieve all of his dreams
    10
  5988. A pen?! C'mon, I use sand and a stick
    10
  5989. Searcing for half hour
    10
  5990. I think you should write a math book. I’ll definitely buy
    10
  5991. Beautiful Simple, that's math
    10
  5992. Love your channel, I’m doing math as my second major (Im taking it as a hobby), you motivated me to go back to university and study math! Thank you
    10
  5993. You spelt THICC wrong ;) lol
    10
  5994. THE CROSSOVER OF THE GODS
    10
  5995. Me doing calculus: Limits ✅ Derivatives ✅ Continuity ✅ Basic algebra ❌
    10
  5996. With math I always have impostor syndrome....Same with advanced programming classes
    10
  5997. Hello Professor Can you do a video about advanced mathematics that is studied after PhD
    10
  5998. This is probably the best differentials lecture I've seen
    10
  5999. That's true
    10
  6000. I'm a med student who's learning math extensively through self-study. How weird is that?
    10
  6001. THATS ALL I NEEDED TY
    10
  6002. The I don't even know how to do the homework is the most accurate work
    10
  6003. Please keep making more of these as there is very less material for stats compared to maths
    10
  6004. Yess more videos like this please!
    10
  6005. I feel bad about this, too. Got my bachelor's degree at 25, and I'm 32 now and still don't have a master's degree. I wonder when I'll get that... and when I'll get my PhD! Had life been perfect, I could've started studying something new altogether! But hey, that's life! Maths is not the only thing I love, but it's what I love the most. Nowadays I'm being fascinated by medicine and was wondering if I should apply for an MBBS in the future, after I get my PhD in maths. And I also love language and literature, chemistry and history/archaeology! Life is too short for everything! I think your "it's not too late" advice works if somebody only has one goal in life, but if you are crazy like me and have multiple passions, then a lifetime will most likely not be enough. My advice to him would be to not waste a single second and start autodidacting university mathematics until life becomes smooth and easy. Today with YouTube, you can rapidly learn a lot more than what BSc Maths students learn during their four-year degree programme! So, don't worry and start working! Sorry for all the negativity, but i just wanted to be frank!
    10
  6006. How do I ask professors to send 10+ recommendation letters without pissing them off? lol
    10
  6007. Thanks mate. You have just given me an insight that I am capable of doing a few topics in Math while not losing out my self esteem & self confidence for being bad on many other topics in the subject. Your words has given me hope to return to Math (in graduate research work hopefully insha-Allah) in future after completing the current undertaking. Todah Rabah!
    10
  6008. So much this.
    10
  6009. linear algebra is always an interesting subject. I got into it and took a course on it because of quantum mechanics but I still don't fully understand vector spaces
    10
  6010. He should get out of that customer service job and into something technical where he can gain some working experience for his new career goal. Not only can he make up for the lost time, but also obtain some perspective along with his new studies so when he graduates, he can show some experience as well. I'm five years older than him and that's what I'm doing. It's very exciting not only to go to school, but also go to work everyday!
    10
  6011. The elements entered the chat...
    10
  6012. great video! Helped me on my quiz. Hope you have a good day Professor.
    10
  6013. This is the only math channel I subscribe to, not because there aren't others I really like---there are---but because this is the only one that doesn't trigger extreme anxiety whenever I see a new video in my list. I'm not sure why that is. The material is no less difficult. But the presentation is somehow gentler.
    10
  6014. For the longest time I struggled with the very concept of math. I knew that math was very important in regards to life, and that if I wanted to get a career in a STEM field then I will have to learn it. But I couldn't grasped the concept when I was in High School due to the classes making the subject very unappealing while the teachers themselves were not very helpful in any regard. This in turn had lead me into developing a fear of never understanding the concept, which sucked a lot considering that I am highly curious and always desiring to get into the STEM fields in the future. A field that I could not enter because I would get anxiety over thinking that I will never be proficient in math to the point where I can apply as a STEM student. But despite my anxiety attacks and fear-induced stress, I kept trying to do my best to find some way to conquer my fears and finally begin to learn how to comprehend the subject. Fortunately, at the old age of 25 years old, I am finally at the point where I can see how beautiful and fun can be. Which is great because I am planning on taking some classes at my local community college. I haven't really decided what degree and career path I want to take yet (that is why I am going to my local college in the first place after all), but I am feeling like this is the right time to take some math classes and possibly pursue a STEM degree. So thank you Math Sorcerer for making this video as this is just what I need in order to pursue the degree that I always want to get. Sincerely, A Prospective Math Student
    10
  6015. Thanks for the video! I can’t help but feel that math is somehow incomplete without being able to divide by 0
    10
  6016. No entendí nada, pero es exactamente el problema que me dejaron, gracias!!!
    10
  6017. That's what makes it fun ^♡^
    10
  6018. Etiquette: As a former TA at GA Tech, my greatest bane was horrible handwriting. Students with poor skills should at least learn to write CAPITAL LETTERS legibly. The very first thing I do when I open a new textbook is go through it page by page and look at the pictures, about three minutes. Then I go through the book again and read everything that is a title or is written in bold letters, less then ten minutes. I would speedread the entire text in the third pass, about 15 minutes. All told, less then 30 minutes. My best friend at GA Tech was stripping her way through school as a math major. She had been a coke addict for 6 years with multiple hospitalizations. Her overall strategy was to be the biggest pain in the ass that office hours allowed. Profs, TAs, study groups, she extracted all she could from each. She graduated summa cum laude, and her first job was designing minefields for the US Navy. (:
    10
  6019. No i didnt knew that
    10
  6020. You know you're in for some serious life/math advice when Sorc makes a journey to the woods :) Well said, thanks for another great one Sorc
    10
  6021. I needed this. I recent failed my first math exam after 2 years in university. I had a nearly perfect score, but this one bad grade not only brought my grade down but also my ambition. I kept on procrastinating on reading the coming week’s chapter, and I couldn’t be bothered listening to the lecture. I finally garnered enough motivation to just START. I can say my focus has never been sharper. I’m coming back to the top 📈. Thank you
    10
  6022. You look radiant today, sir! ✨
    10
  6023. That was awesome to read.
    10
  6024. I am 26 and will be starting my bachelors next year. You are not alone. A few years are nothing compared to our lifespan ...
    10
  6025. Very inspiring to read all the messages above. I am 30 and always dreaded math during school. I dropped out of math during my college and never took it seriously but math kindled my interest 4 years ago and now I am deciding to keep my career and focus on this great, rewarding subject for some time.
    10
  6026. You just increased the capacity of my heart. What a true legend
    10
  6027. In Soviet Russia, theorem proves you!
    10
  6028. “Why is undergrad maths harder in non-US countries?” The level of exam is so hard for high schoolers in my country that not more than even 10% make it through for the top colleges. Yes I’m talking about JEE Advanced.
    10
  6029. My mans getting huge!
    10
  6030. My favorite goes always to Analysis book. In french system math major, if you choose "pure" math, you have to take Real Analysis (Analysys 4), Differential Geometry, and Abstract Algebra. Calculus is mandatory in 2 first university years. Your great math books remind me my university math battle and joy: doing math everyday ... many hours a day.
    10
  6031. I’m 33 and going to college for my very first degree. There are things I want to understand and bigger, cooler projects I want to work on.
    10
  6032. pls sir can you suggest books for improving olympiad geometry
    10
  6033. What really makes Math genius people distinguish from normal math people is proof writing and the construction of the proof itself.
    10
  6034. I think previous exposure to mathematical thought is also essential. It is difficult to get a lot out of a formal math textbook without knowing the language, having experience with proofs, and being able to conceptualize math in your head.
    10
  6035. Definitely, a mixture of the 2. Mathgeekmama has a good page on 5 examples of Mathematics in nature. Further point, your videos are excellent!!
    10
  6036. You're getting pretty strong man nice to see
    10
  6037. You should make a video on your take on the question “is math invented or or discovered?”
    10
  6038. You seem to have been reading my mind as of late. >.> Thank you for the encouraging videos. (:
    10
  6039. Who’s Genesis? Shes so cool!! Hahahaha
    10
  6040. Thank you for this. I am getting a BS in Accounting right now, but I am self-studying math as well, because I plan to pursue a bachelor's in Applied Math to supplement my Accounting degree afterwards. You have inspired me to self study and retake up a subject I loved in high school but was too uninspired to pursue in higher education or as a career. I currently have the Intermediate Algebra book from Blitzer and Precalculus by Stewart and I am learning that on the side so I can build my way to more advanced topics and be ready to get that Applied Math degree in a few years. Thank you again for all you do with this channel!
    10
  6041. I liked business calculus before I took regular calculus. The trig in calculus would have been overwhelming at times. However, taking business calc first had my brain already trained for much of the work in calc with trig so I was able to focus on the trig rather than having both take me down. Since you already have plenty of electives in any degree, take business calculus as an elective which makes your elective serve a much more useful purpose than just a way to pad your GPA or get a no brainer class so you can study other things.
    10
  6042. Nice, I thought you’d do the same old sqrt(2) proof.
    10
  6043. “I make a video on every single homework problem” if we had teachers like you for every course we wouldn’t need to be watching your YouTube videos ❤️
    10
  6044. 2:30 I think it's other way around. People are good at something because they like it. IMO there is no better motive to push you to the end than love
    10
  6045. He Maxed mind now he is leveling strength.
    10
  6046. I'm always glad to see color being employed as a pedagogic tool. The obsession, in some quarters, with 'rigor', reaches pathological levels. Every mathematical proposition whatever is a new event. 'Rigor' squeezes out sideways thinking.
    10
  6047. Thank you for mentioning how attaching a story to a book acquisition is in fact an actual activity/hobby lol. Seeing the world teaching math and visiting libraries is certainly the dream. Best of luck to you, and safe travels! Looking forward to cool adventure stories \m/
    10
  6048. solving problems is nice, but what about a little intro telling about why on earth one should be interested in the problem you are about to solve? that would make it all much more appealing... anyway I like your channel, keep it up!
    10
  6049. Calculus 1 was probably the easiest math class I ever took, even easier than pre Calc surprisingly. The math classes that I’ve taken are calc 1-3, linear algebra, ODE’s, complex variables, and PDE’s. PDE’s was definitely the hardest though, it basically took every single math class I ever took previously and jammed it into one course, along with new material being presented.
    10
  6050. First of all, good on you for seeking focus and clarity away from drugs. Second, Stewart and co-authors have a textbook about algebra and trigonometry that is much longer and better than the appendices in the calculus book. Get this book, work through the problems, and save your work in a three-ring binder as you progress so you can refer to it as you do more advanced math. Analogously, get Schaum's outline series books about your math subjects, and work through those problems, saving your work papers in three ring binders. This may seem like a lot of extra work, but it will instill personal discipline and form an excellent reference record for future math studies and homework.
    10
  6051. Lol at the end of the video when you said "hi I'm professor heisenberger and I like hamburgers" 😂🤣
    10
  6052. Hola hechicero :)
    10
  6053. I don't see anything wrong with leraning Lisp with this book, for the reasons the authors give: it presents useful constructs absent from other (contemporary) programming languages. If you are new to programming, and your interest is not primarily instrumental, then working through these languages in a chronoilogical manner could be a really cool way to approach this subject.
    10
  6054. 5... is that all, I could give you 25 reason. for the record my undergrad is Math. hahahah
    10
  6055. Great video! Apart from what you mentioned, I'd like to add a few comments. In physics, people also study Hilbert spaces, especially in quantum physics, though not in a very formal way. Group theory is also crucial across all of physics because many phenomena involve symmetries. Topology is important too, with topics like topological insulators and topological quantum theories making use of it. Finally, differential geometry plays a key role in general relativity.
    10
  6056. Talk A++, music F-😂
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  6057. I have a first degree in maths but as an average student chose a career as a software engineer. I think you missed one important trait. Every successful mathematician uses the right half of his brain. After all maths is an arts subject. Of course, it is true as you mentioned that there is a lot of hard work involved and for the most part the research involved requires logical thinking and deduction. But the final insight invariably comes from the imagination. Archimedes wasn't sitting at his desk when he discovered the displacement of water, he supposedly jumped out of his bath and ran naked through the street. Hamilton solved his puzzling problem with hypercomplex numbers while crossing a bridge with his wife. Ramanujan claimed his formulas were given to him by divine guidance. This last is a little fanciful but I have experienced something similar myself. Nothing very spectacular. On you tube I had recently been reminded about the story of the young Gauss adding the numbers from 1-100 within a few seconds. The method is very well known and taught to most ten or eleven years olds. I woke up the following morning with a completely different method. I was well aware that a number of methods exist to add sequences but this method came completely out of the blue and I had never seen it before. I think most school kids could have some success and satisfaction with maths if they were actually allowed to do maths, rather than been forced to learn pointless formulae. I also disagree that you don't learn maths by doing a lot of examples, you learn maths by understanding what you are doing and why. Probably one or two examples per subject would suffice.
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  6058. You are teaching fabulously sir and plainly teaching 👍👍
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  6059. I work as a data analyst, started my career in the late 90s. There is no patience in industry. Everything is a "Sprint" nowadays to defeat the competition. Automation and customization are tools to drive this, even when commerical software is sufficient. A mentor of mine early in said that "the road to knowledge discovery is always under construction" and this could not be automated, as it requires a human decision maker in the loop. So, even if an employee wants to be patient, that will not be tolerated Even in some courses, we are starting to see this way of doing things, as the corporate america is encroaching.in the universities to the point I have seen math disparaged in the internet and social media. The old, "what can you do with a math degree" trope.
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  6060. Thanks for making this vid! Another great book that was recommended by you and which I am currently studying (set theory, logic, plus proofs) is The Book of Proof by Richard Hammack, free PDF to download!
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  6061. Spivak and Apostol live rent free on the back of my mind.
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  6062. I had this going through all the school. And now in college I don't attend the class if the teacher is grumpy , angry . Neutral Teachers are great.
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  6063. I have Serge Lang's A First Course in Calculus, 5th edition. It's around 600+ pages long and covers the basics (only single variables). I think it is a great book for beginners. I like it how he covers very important topics from elementary mathematics because students don't know them as a rule. Yeah, I know they all say that they studied precalc and that they don't need such topics, blah-blah-blah... I think they do need it and they don't really know it! I also think that most Lang's books are very good. You can hardly go wrong with them. They are indeed a good choice and can also work as additions. Of course, if a student plows through Stewart's Elementary Algebra and Trigonometry which is around 1000 pages and then focuses on Stewart's Calculus, it's even better than doing Lang's A First Course in Calculus. I just don't think that's realistic for 99% of students. They would either not have time or will to do that. So, Lang's books are kinda shortcut to get the gist. I guess, Lang's approach is very smart and good for teaching people without crowding them with too much information or tough problems.
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  6064. Do you think this book and Abbott are good to prepare for my first class in real analysis next semester? I already know how to prove things since i took a rigorous linear algebra class (with Axlers book) and I am kind of familiar already with epsilon delta.
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  6065. you have to watch The Man Who Knew Infinity, I know you're going to love it
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  6066. I think these are very wise words. I didnt socialise at University (UK), and despite academically succeeding, I regret the stance I took. There was also no internet in the early 90s !
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  6067. It’s sad when satire becomes reality...
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  6068. Lol i like the background music. Funny vid!
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  6069. I'm taking his algebra course as well. I'm more than halfway done. Good stuff, recommended!
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  6070. this video deserves thousands of likes, thank you so much.
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  6071. ‘This is not a text book, you can actually read it and learn from it.” Lol. That was awesome 👏
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  6072. it looks like a really good book, I always look for the newest books because they are the newest. I know its a bad habit and other people have as well. This goes as a perfect example that old books are still useful and should still be used for learning. This book seems really interesting. On another note I'm enjoying the calculus 1 class on udemy. Keep up the video's you always do an awesome job on them, you have made math seem fun and interesting when before every other teacher that I have ever had has made it boring and difficult
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  6073. Thank you for these short videos where you solve a problem - more like this please!
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  6074. Lol I remember when I ran into this book thinking it would be the type of algebra I learned in highschool. Boy was I mistaken 😂😂😂
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  6075. Thanks for the video.
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  6076. Thank you for the video! I was having trouble breaking down each component to prove it, and the order in which you approached it made it so easy!
    10
  6077. Watching this now because my professor doesn't explain it nearly this well! I'm so happy you have a Calc 3 lecture playlist! Thanks:)
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  6078. This make so much meaning I do get the explanation from you and what is meant.
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  6079. Since the late 80's, pilots have been taught a concept called aeronautical decision-making (ADM) to reduce accidents caused by pilot error. At its core is a decision loop called the DECIDE model, which stands for: Detect the problem, Estimate the need to react, Choose a desirable outcome, Identify solutions, Do the necessary action, and Evaluate the effect of the action. The chapter about ADM used to be the last chapter in the FAA Pilot's Handbook of Aeronautical Knowledge, but they promoted it to chapter 2 in the most recent edition.
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  6080. Things that math professors have never been told: to choose a good looking haircut...
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  6081. I think the main reason this test is challenging to most students is just because of the broad range of material covered. I think I could do pretty well on this although I'd have to brush up on some of the technical things about sequences and taylor series. My calculus 2 final was at a similar difficulty with the broad range of topics and it even included some early calculus 3 stuff.
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  6082. Professor please make a video how to master calculus to Advanced level ❤️
    10
  6083. This video feels very hidden, 200 views despite 500,000 subs
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  6084. Merry Christmas ❤
    10
  6085. Maths Sorcerer claims he has an ordinary IQ yet gets an A in Modern Physics 😂
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  6086. Yeah, that was fun. I would have gotten as far as the Change of Base because whenever things get tricky with Logs we ALWAYS have to whip out the change of Base Formula. But I've been working on my writing lately and if one is even a little bit rusty with Math one begins to forget to check Domain and we should ALWAYS remember to check Domain with working with Rational Numbers.
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  6087. This may sound weird but I find math more easier than trying to date a girl in America
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  6088. This is exactly what I needed , thank you master 😊
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  6089. I'm the first. Like always, thankful for you thoughts! Take care :)
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  6090. ... A must read book for any math learner. Thx 4 posting it.
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  6091. You deserve fields medals ....❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤ math sorcerer 🎉
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  6092. I'm using Thomas Calculus . I find it a great read.
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  6093. You should add a little bio on Serge Lang. He was a teacher at Yale, also had some controversial opinions on issues extra-mathematical. Like his view that HIV does not cause Aids.
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  6094. You are not tapping out. Take a breather and clear your head.
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  6095. MAJOR help for my college alternative to Calc 3! Thank you soooooooo much <3
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  6096. Great vid! I took a course in Discrete math as an undergrad and we used a wonderful textbook called Discrete Mathematics with Applications by Susan Epp.
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  6097. Life is about making mistakes It's also about trying to be great — Machine Gun Kelly
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  6098. All of my favorite books are old, with a few exceptions. Be it the original manuscripts on solid state physics, to general electric circuit manuals or the math books from the 1900s, they're almost always clearer and better explained.
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  6099. I love these short videos. Very informative and doesn't spend 5 minutes on stupid non-related talk.
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  6100. I'm a visual learner, and was really burnt out from college maths. Discrete mathematics for me was a total "WTF is this?" I got the book "Discrete Mathematics with Ducks" It's got some great visuals with some great diction. Really helped me get a visual representation of what sets and groups had to offer.
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  6101. Nice video. It's just natural to assume that x,y,z are distinct, so the mistake is easily understood. But variables being variables means they can certainly be equal :).
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  6102. Thanks for a timely, for me, video and kudos to Jose!
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  6103. That's called moving sir. When you are a kid you don't have much of a choice.
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  6104. Lol...me too. I am the best procrastinator in this world!!!
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  6105. I’ll prob use this as a review lol.
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  6106. I love your channel!!! Greetings from Argentina
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  6107. 0:46 Pengineers 🌝🌝🌝
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  6108. I'm new to self teaching math. Videos don't work well for me. I've always been more of a reader so your channel has been a godsend for recommendations. The thing I've been most surprised by is how good most math books are at explaining new concepts. I expected them to read more like dry reference books.
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  6109. The best explication
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  6110. 2:50 "L. E. Elsgolts Differential Equations and the Calculus of Variations Publishing House "Nauka" Moscow" ("Наука" is Russian for "Science", and it's pronounced "Na'oo'ka".)
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  6111. This is my problem I can't stand not understanding a concept. Usually I have to study for the test rather than internalizing the material. I'm doing fine in calculus 3 but I feel like a fraud.
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  6112. I like the Fraleigh, I've tried many books, coming from an eng background and many were hard to understand. This one worked best for me.
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  6113. The other day I was getting a CT scan on my shoulder. I’d never gave it much thought and knew it sliced the image like the area under a curve the volume of a 3d shape. It hit me how calculus really is all around us and we don’t give it much thought.
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  6114. Love that line-free paper. So much easier to look at.
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  6115. Sticks Thermometer in couch! We're fine! EVERYONE Here is FiNe!! me breaking down before analysis test!
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  6116. Im a math and physics major and let me tell yall it is hard. I breezed by high school and freshman year of college without studying but i screwed up my gpa sophomore year. You need to practice like crazy!! its like building muscle, you need to spend several hours in the gym each week and eat healthy foods. so for math and physics its reading the textbooks and doing as much practice as possible. I even started skipping class just to practice more and it helps. i dont recommend skipping classes but just said it worked for me.
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  6117. congratulations
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  6118. Got a book for xmas. Deep learning by Goodfellow, Bengio, and Courville. Lots of math, very well written, very dense, great print.
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  6119. Agreed to what you said there at the end … math is just beautiful ! Thanks for motivation 💕
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  6120. We appreciate your videos. They really help us out a lot.
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  6121. That looks like a fun text; however, the thin books can be kind of scary! I used "Vector Calculus" (2nd edition) by Marsden & Tromba.
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  6122. The world needs more people like you. You're doing a great job.
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  6123. 2:05 almost writes whole word examination, leaves the dot of the i and covers it with an open parenthesis
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  6124. I personally think there's levels of math: - Computational Maths - Having courses all about a specific space or a specific type of mathematical object such as mostly the real,natural, complex numbers etc and functions defined on them. (calculus, analysis, number theory etc) - Generalize, whole study about types of spaces like groups, rings, metric spaces whatever. - Combining knowledge of all these types of spaces to make even more crazy math , do some more hardcore analysis on these type of spaces So the 'level' is in generalizing and making more abstract.
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  6125. Best teacher ever! Thank you for your time
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  6126. Thanks for the quick explanation, helped me lots.
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  6127. We appreciate your content. Keep up the good work.
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  6128. Just by watching the book from your video, I can tell it's way better than the Grimaldi book.. Wow.. the content presentation looks very easy to read and very engaging as well as the exercises..not to mention it has solutions at the back..and I really like the part of the book you showed on digital circuits.. it's very interesting to have something like that on a discrete math book.. am so excited to check it out myself.. thanks for this video
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  6129. I’d say that the content it’s even more psychedelic than the cover. Crazy stuff happens after Galois theory in commutative álgebra and algebraic geometry. Everything is developed itself in pure beauty just like in a painting where every color has its own purpose..
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  6130. Lets go gymmath, healthy mind in a healthy body. Making it look easy.
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  6131. Oh, these are treasures. I still have Linear Algebra by N.V. Efimov (got it for $1 dollar) and Mathematical Analysis by Bermant and Aramanovich (for $2).
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  6132. I have this book. Takes me back to my engineering days in the mid 2000's
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  6133. This is the exact video that I need to watch right now. I lost most 4 years because of that. I'm 23 years old.But i didn't give up. Right now i am learning mathematics from start and my aim is going to one of the best universities in Turkey. I am sticking with math and english. Every hour in a day i tell myself what you do in that hour. Btw i have ADHD
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  6134. You are quite correct, the 3rd edition of Baby Rudin now has Dedekind cuts in the Appendix. I have all these books btw! My treasures!
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  6135. The correct answer is engineering. EE has been a challenge and a blast. Love the vids and the library man
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  6136. That cover-up method is awesome!
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  6137. As a pre-med student I did not expect this video. 🔥
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  6138. Awesome video, almost like a therapy session.
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  6139. bless your heart you've saved me thanks so much
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  6140. Your channel has become my main source for everything Mathematics. From your fountain of wisdom the gems on here are many and worth every minute. I hope to someday share that same inspiration you share with us to my students . I myself was once that scared little boy that hid behind the words, "What's the point of all this Math, if I'll never use this again". I was very wrong, but eventually I decided to face my unnecessary fear and make a friend and a career out of it. Thank you for sharing your passion with us. Oh btw, any Mathematics note taking strategies or software you recommend? Is LaTeX worth learning?
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  6141. Your content is awesome Keep going 🔥🔥❤❤
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  6142. 56:14 OMG!!!!! it has been about a year
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  6143.  @TheMathSorcerer  7 months later, but I hope you still don't wipe the board with your hand and then grab your face. . . lol
    10
  6144. Speaking in generalities, when I was in college, girls tended to like math majors, they thought math guys were pretty smart, but they were not math majors themselves.
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  6145. This has to be the greatest video that i've ever seen in my whole 57 years of life😀
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  6146. I really needed to watch this. I’m getting a math degree and I felt like I was on the verge of switching. I truly forgot why I chose math.
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  6147. Simple proof: Since an ellipse is a flattened circle, the volume generated would be equal to the volume of the sphere of radius 'a' times b²/a². Required volume equals 4/3 pi a³ times b²/a² which equals 4/3* pi* a*b²
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  6148. Sir, your words motivate me and give me the strategies to go the extra mile Thank you very much, please continue being great!❤️🙏
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  6149. When I was in college taking Number Theory, an early chapter expressed Fermat's Last Theorem as unsolved and unlikely to be solved in the near future. Book was published in 1970's. Anyway, the teacher let us know that there are many unsolved problems. I found that fact really amazing at the time. Of course, the solution to FLT was found. It is cool to see a collection of unsolved problems.
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  6150. Bro's gonna be doing Calorie and Rep calculations instead of trig and calculus notations
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  6151. I love your books. I have some book recommendations for you - Linear Systems and Signals by Lathi, The Fourier Transform and Its Applications by Bracewell. Both use modern notation and are well written at an intermediate level. If your trying to escape the standard class mathematics classes you could consider spectral analysis books. Spectral analysis could be described as regression analysis of time series using statistics.
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  6152. Earning while doing masters in mathematics from a reputed and regular university is very hard. I am from Kolkata, India and currently doing my masters in Mathematics from Presidency University. Attending university is important and students don't really want to travel to the tutor's home or study online. Even if students come over at the tutor's home, fees offered is less here. Mostly they want the tutor to come to their home and the fees offered is a little more for that.
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  6153. I agree with you professor. To some extent, self-discipline plays an important role but I think CLARITY and ENJOYMENT in math are more than important because when we have clarity about something we automatically tend to develop self-discipline and focus. Thank you.
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  6154. God, you saved me a whole day of scavenging for explanations, thx!!!
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  6155. Thank you for this message. I was never the best in class at any time, but at 46 going back for my MS while working full time I've especially struggled. It's been hard seeing all the other gifted students that seem to pull it off effortlessly, but at the end of the day I'm getting my MS. I took Complex Analysis last semester and I passed. How many people have done that? I especially enjoyed residue calculus, even though I was by no means great at it. Now looking forward to my last semester with PDE.
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  6156. My advice in addition to what you've said would be , eat well, sleep well, go for a walk, the body and mind is one piece.
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  6157. What I lack in IQ I will make up for in persistence and caffeine.
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  6158. i was searching for this solution for so long and when i finally found ur video i was almost at the verge of my tears...thanks for saving my day
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  6159. This is a very well-written, well-made, organized, comprehensive book WITH ANSWERS. I see the reason ppl ask you to review such a good book.
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  6160. I might have to get a bigger bookshelf for all these amazing books! Like you mentioned, something about the older books and the terminology the use just clicks for me, compared to the modern written texts. Just ordered a copy for under $5. I'm beyond ecstatic.
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  6161. Great timing, I was looking for something like this as a foundation!
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  6162. Thanks for changing my approach to math. I do an integral every day now as I prepare for ODE. I plan to continue doing math every day for the rest of my life. I love math with my whole heart.
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  6163. I can say that once for all, thanks to your video and to your gift to explain things in a so clear way, I now understand something I had learned in school about 24 (TWENTY FOUR) YEARS ago. Thank you. Thank you, really.
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  6164. thank you very much! it helps me a lot! God bless you~
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  6165. Hey sir,I find your videos motivating
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  6166. I think that your answer, "it depends" is right on. I remember years ago reading an essay about how number theory was a beautiful subject, but totally worthless for applications. Wow, how that author turned out to be so wrong! Your comment about linear algebra sounds like something from Professor Strang at MIT. Linear algebra could very well be taught at the high school level as an AP class. Its level of importance is right up there with calculus. One area of math you kind of have to learn on your own is Spherical Trigonometry. It use to be taught years ago. Topics come in and out of fashion, I guess.
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  6167. I love this book, used it during my first semester at engineering along with Earl Swokowski's Calculus. Great review, thanks.
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  6168. "al que madruga dios lo ayuda" thats what we say in spanish.
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  6169.  @TheMathSorcerer  and if I were to add to my answer, now I teach other people Calculus! Teaching is my passion!!
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  6170. Thanks for the suggestion!
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  6171. have you considered doing a video on game theory? A bit more applied than what you usually talk about, but I'm interested to hear your thoughts and recommendations. cheers and big fan!!
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  6172. Omg you dont know but you did all my homework, love you <3
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  6173. I just started studying physics and I thought I needed to hear this video.
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  6174. Going back and relearning my maths at 60+.
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  6175. Awesome, works perfectly!
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  6176. Ohh so thats how you combine
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  6177. There is a quote by Bruce Lee, a legendary martial artist and it says: "Empty your mind, be formless. Shapeless, like water." -Bruce Lee I have been trying to apply this quote in my life and I think you should. It helps you to quickly adjust to things and different situations more easily. Like entering math competitions, walking inside the exam room, or really just about anything. The main point is to free the worry and the nervousness. I hope that helps to anyone out there! 👍
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  6178. If you couldn't have gone into Mathematics, what would you have studied instead? My favorite Philosophy Professor told me he'd have gone into History, which makes sense because of his passion for political theory. I'm still just trying to study everything I can. Great disciplines feel too much like my own children; I could never choose just one of them over the others. But if my college didn't have Philosophy, Psychology or Mathematics, I'd probably have chosen something like World Literature or Linguistics.
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  6179. That's also true for doctors....you just need patients....badabing badaboom....I'm here all week, try the veal....
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  6180. I agree it is a great book, but some of its problems are hard, I could not solve them all.
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  6181. Perfect timing! I was actually looking at amazon reviews this week. While I'm currently a grad student in economics and have done well in calculus/linear algebra/probability/proofs etc. I struggle sometimes with new proofs that have some algebra 'tricks' that my professor's mention is 'basic highschool math'. sometimes I haven't seen the trick in 7 years and since I didn't care about math during high school and the start of college, my foundations are shaky at best.
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  6182. dude you're awesome man, i'm starting soon for software engineering and of course it's essentially a wall of math. I absolutely loved calculus and am currently reviewing before I start school. You're advice is excellent and always realistic which makes it very valuable. Ty for doing what you do
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  6183. Good April Fools prank. I assume all of this means nothing...
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  6184. Great book, I hope I'll be able to find one here in the Philippines. Great video too!
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  6185. The pen thing about engineers is spot on! I use kuru toga only for math.
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  6186. Love from India ❤
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  6187. Great vid!! One thing I'd add is to really look profoundly at the sample problems, or example problems, that are solved in the textbook. Take them apart, see where the concepts which the book is trying to make fit in within the scope of the problem/example. It doesn't always work, but you can at least see where the problem/example lacks clarity, and you can approach your prof and ask them questions. You'll have a place to start...
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  6188. I am a budget collector myself too :) its really fun to hunt down books but sometimes you really can't pull the trigger because of some moonprices
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  6189. your like a hero, some of us really need to hear the things your saying idk why but in my country the teacers act like you enemy ,never give you hope ,never try to inspirate their students and thats the reason why i love see your videos motivation /math both of them . i just want to say thanks !! regards from colombia :D sorry for my bad english :c
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  6190. His worked examples with the therefore symbol and the 'Let...' are absolutely beautiful! now I want to do some exercises!
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  6191. Munkers was recommended to me to from one of my friends
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  6192. Sir you are really amazing, you dont know how much you help others!! You are the BEST! Amazing channel trailer
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  6193. I am looking at all the books in your library. I am trying to see the books' titles. I love to see you show your favourite collection of books in any of your forthcoming videos. I see you have got a lot of books on calculus. I am interested in those vintage books on the right side. Are they on maths?
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  6194. Such great information here! This one of my favorite things about your channel!
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  6195. I really needed this, thank u!
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  6196. We had this in our beginners lecture and i was so confused. Thanks to you i finally got it :D
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  6197. During maths exams years ago, I drew boxes around my final answers. My teacher suggested classes to do that. Boxed answers quickly draws examiners' attention and speeds up their job of examining. I scored A's.
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  6198.  @_mr_z_  LOL, even a bird can do it!
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  6199. Sometimes I'm reading proofs and then out of nowhere another symbol is used that wasn't used previously and I'm like what the hell is that
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  6200. I just got this book delivered today. I was looking out my front door and noticed a large brown envelope on the front step almost completely hidden under a heavy layer of damp autumn leaves. Fortunately the book within didn't get soggy or damaged. Its a large book and filled with lots of great stuff from cover to cover.
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  6201. Sir can make videos on integration including greatest integer function and periodic function. Please sir.
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  6202. 0:49 well if I get "out there," wouldn't I be studying less as I typically study inside a building? Jokes aside, this is great motivation!
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  6203. I'm a math major who loves your videos and my main hobby is stonks so it's fire to see a vid about this book since I agree it's the best! A book which I think rivals Graham's in terms of value (pun intended) is "Why Stocks Go Up and Down" by Pike. While Graham provides the framework (which in itself is sufficient for passive investors), if you wanna invest actively then doing the due diligence requires fluency in accounting; Pike's book is similar to Graham's in that its language is neutral and the overarching focus is on objectivity. In my opinion Graham -> Pike -> crack open some 10-K/Q's of companies in your circle of competence -> read while referencing Pike -> manage your portfolio while referencing Graham yields the best risk-adjusted results which is ultimately what really matters.
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  6204. No. Physics is the hardest because you have to have the deep pure math understanding of a math major, and applied math skills way beyond what engineers use (unless you're in engineering research). And then there's all the actual physics on top of it. Learn quantum mechanics, quantum electrodynamics, and general relativity, then report back.
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  6205. I have also unexpectedly gotten very interested in theoretical physics lately, the math behind it is so tasty (for lack of a better term). Good luck on your journey!
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  6206. Happy New Year! Your channel is a breath of fresh air, I thought I was weird for liking to sit down in my free time and pick up a math textbook to work on. I relate to everything you said, and just to add a few things from experience: What I did by self-study the past few years wasn't necessarily studying something else. I'm in my last year of high school, but since two years ago I made a habit of going ahead of class with my own learning. I'm more of a "see it once and remember" kind of person, and my teacher likes to dive right into the hard stuff from the beginning. So it started as a necessity, but then I got back my passion for Mathematics when I taught myself the basics of a topic and let institutionalized learning take its course. I've always been this way to some extent, and always wanted to know what the next big thing we're learning about in Math will be, next year or so. That's how I understood the concepts of calculus (not able to solve the problems, but had the logic) before high school. Now, my next goal is taking up Linear Algebra and Advanced Calculus to make it easier in university. Wish u the best, sorry for the long comment lol Edit (I struggle with this too): if you're one of those people who can sit for hours on end and just do math, amazing. But remember to take short breaks every half-hour or so! Helps a lot
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  6207. Math Sorcerer, one book I like is 'More Precisely - The math you need to do philosophy " by Eric Steinhart. Discusses ideas in a pretty lucid way.
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  6208. Thank you so much this was helpful
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  6209. Is there a proof that df = fx * dx + fy * dy is the total differential? Or is that just the definition? It does resemble the one variable differential dy = f'(x) dx.
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  6210. 😂😂😂
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  6211. I concur
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  6212. It seems like you didnt justify this statement "when you add two natural numbers you get another natural number" Shouldn't you prove this?
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  6213. When you have time, you are relaxed, so your mind works better but when you have time limit, you are unable to concentrate well making maths difficult because maths is not history.
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  6214. PDE's is much more difficult. It is hard to find a good book to learn from.
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  6215. I actually like allowing to use Mathematica. Not while learning integration (or whatever), but later, when using it to do other things. I think using it to solve a tedious integral can be highly efficient and appropriate. Just like we often use calculators to do multiplication and addition and such; it saves time and silly mistakes.
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  6216. "Eleven, how weird...it's like two vertical lines!" - hahaha lost it XD
    9
  6217. I like this upload and I agree. Imagine if Goggins comments under this video "You don't know me, son."
    9
  6218. I've had this for a while, and I highly recommend it. If every book did this well at explanations, I would have had a degree by now.
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  6219. Sir I am a big fan of yours 🙂,,, I keep watching and learning from your videos I request you to make a video on how to quickly read a math book and remember all the equations,theorms and formulae in the book,,,
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  6220. I'm 31 still going to college doing mechanical engineering if you think you're too old 😮hell noo😂 probably I'll finsid college in mid of 2023 😮😅😅👏👏👏👏👏 you have long way to achieve many things 👏👏👏👏👏👏
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  6221. Thanks for this video and the words of encouragement and wisdom. I'm telling the story of a man who is learning math and physics one problem at a time. I thought I wouldn't be able to understand the kinematic equations for one dimensional motion in both a physical and mathematical way. But this week I've been doing problem after problem like two a day. And I'm beginning to understand physics a tiny bit and how the equations are used but I know more problems need to be done. But I know I'll get to the next step with time and patience. This video spoke to me to keep on learning. Again Thank you and keep up the awesome content :)
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  6222. We appreciate your videos. Happy Holidays. God bless you.
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  6223. I want to mention that he also used S.L loney book for trigonometry
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  6224. I barely managed 3 hours to get myself into self study. My advice would be, don't ignore your surroundings and the people who are close to you. You never know what you may lose, a friend, a girlfriend, more insights from others. Besides you will never know everything regardless how many hours you put in. Second advice get a mentor a coach to help you escalate in your journey and try please enjoy life
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  6225. Self learning in spaced repetitions so our brains can soak up the material....very key insights into succeeding in Math...great upload!!
    9
  6226. I'm literally studying for my general chemistry 2 exam for tomorrow 😅 what crazy timing!
    9
  6227. My current stats teacher refuses to go over this stuff in class. You just saved me a ton of time trying to work with him. Thanks!
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  6228. Wow! What an artifact. He was talking about functional analysis before the term was even coined
    9
  6229. I wish that I discovered your channel earlier. I love your teaching style. I don't even get recorded or zoom lectures for some of my online classes right now >:(
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  6230. The professor's laugh😂😂😂
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  6231. Ah...College Physics... This is when I learned that a science class and a math class are not the same thing just because math is involved in both. There were so few people by the end of it. I guess it was a wake up call for a lot of other people too, maybe even in that very particular regard. Funny thing is I remember a lot of stuff from that class; forces, friction, how they interact. It really did give me a better understanding of the Physics of the world.
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  6232. Learn from others, compete with yourself! Especially in math, so many people are hurting themselves because they are afraid to feel stupid compared to their peers: - People don’t ask questions because they think they’ll look stupid COMPARED to the other people who don’t ask questions (While on reality everybody thinks this) - people rush homework assignments to seem smart compared to their peers, while not actually taking the time to understand the questions - sometimes people even stop doing math because they feel stupid compared to others
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  6233. The advice here lines up with that in the book Make It Stick, about effective study habits.
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  6234. You weren’t kidding about the price lol. The cheapest used book is 443 dollars and to buy it new around 1000
    9
  6235. My nearly perfect text-book on Fourier series is by G. P. Tolstov (although the book's name is Fourier Series, it actually deals with orthogonal polynomials). Very clearly and concisely, right-to-the-point written presentation.
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  6236. The lighting is WILD on this one homie. Look like a high elf powering up a spell lol
    9
  6237. Yep, figuring out a prove on your own always gives you a great sense of accomplishment. I, my self, am very passionate about the process of building rigorous mathematical theory :)
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  6238. It always annoys me when people say I am "gifted" because I learned high level math and got a math degree. I don't consider myself gifted at all. It all came through years and years of study and hard work. I try and explain that to people but they insist that I must be "gifted". To me "gifted" downplays all the study and hard work I had to do to get where I am today. I always felt that anyone of average intelligence can accomplish what I did if they devote the time and effort
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  6239. I did this a different way that was way quicker: I turned that integral into the negative integral of e^x from -infinity to 0 (because of the nature of inverse functions). That's very straightforward to evaluate, and you get the same answer: -1
    9
  6240. Our linear algebra professor actually did give us an opportunity to correct ourselves in a post-exam conversation. Not necessarily to make up for all lost credit, but at least partially.
    9
  6241. I love these videos where you go through a stack or shelf of mathematics books. So many I haven't known about and it is great to get introduced to them.
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  6242. I knew you would do this one after the analysis one. Proof is in the pudding 😄
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  6243. ur thumbnail is different from the proof u do btw lool
    9
  6244. Got my final tomorrow and I'm going through all of your videos as a review! Thank you so much for being such an enthusiastic professor, you make me enjoy my study time.
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  6245. Dude I keep buying the books because of your videos! This one looks great. I love the compactness of it. Had to get the 1953 version, just as you presented. Dover reprints are great, but nothing better than an old-school math book.
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  6246. Picked up a masters degree in applied mathematics at 60. It started when I decided to take some online MOOCS related to math and played around with Khan Academy. Then I decided to take a basic Calc 1 class at the local community college. Enjoyed it and did well, so took the next one. One step leads to another and a few years later had a second bachelors degree in applied mathematics so kept going for a few more classes until completing the masters - actually think age was a benefit for me. No way I would have had the discipline at 18 or 19 years of age.
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  6247. Lots of pencils & paper! My first College Physics Professor hammered it into us that working through the examples and problem sets was critical to learning the material. Just like learning music, sports, etc. learning Physics & Math (and other hard stuff like this) requires practice ... lots of practice!
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  6248. Thank you. It’s one of those problems that looks tough at first but can be busted and beaten down to dust and ashes
    9
  6249. I took some time off from school a little while into covid, and your videos have really helped me stay motivated to learn math on my own. Thank you!
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  6250. Omg- ty so much I was stuck on a problem for MINUTES you’ve saved me ty lol
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  6251. Thanks Sir for your submission❤
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  6252. The problem itself seemed to be elementary at first but definitely taught a lot 👍👍
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  6253.  @TheMathSorcerer  your cesaro summation limit video helped me big time Great stuff dude
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  6254. The Math Sorcerer is our Roads Scholar.
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  6255. Sir I believe that old books are much more better than modern books because I think it concerns with theorical mathematics alot whereas the new noes I think they have made easy books like Stewart precalculus,Blitzer, Sullivan... So I suggest you if you share me the same opinion to make a one full video about mathematics from zero to advanced level but with old books recommendations Alot of love from middle east ❤️❤️
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  6256. Para os brasileiros que veem o canal: Troquem o Álgebra Linear, do Elon, por esse. Além do Elon cobrir muito assunto desnecessário num curso de álgebra linear, ele também é bem difuso em várias partes - por exemplo, a matriz mudança de base. A tradução pra português é horrível. Lutem com o inglês mesmo, que nesse livro não chega a ser uma tortura.
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  6257. I just finished my first semester with a 4.0!! Let’s go to summer classes to grad faster!
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  6258. I subscribed after just 1 minute of listening. This actually helps me. Thank you.
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  6259. Here's how I keep an open mind. I recall Albert Einstein's motto and ponder its meaning: "Imagination is more important than knowledge." Almost everyday, I exercise my brain's muscles by resisting paper & pen and visualising things inside my head. I do that often for maths, art, Gregg shorthand writing, etc. It is EXERCISE ONLY, great for pulling brain muscles. Resisting paper & pen forces the brain to work harder.
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  6260. Cover Al-Kwarazmi please if you can. He is important to me.
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  6261. Great explanation
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  6262.  @TheMathSorcerer  She did.
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  6263. Wow, I wish I can just record my students while I teach, but minors...enough said. However, they always want to appear in my vlogs for some reason. :)
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  6264. This question and its responses are focusing a little too much on the individual and missing out on the institutional and societal level of what makes mathematics and a lot of the people in it elitist. Also for what is explained, I don't think elitism is the best term either. Oftentimes, you may have the potential to be great at mathematics (or anything really) but the demands of our lives often take a greater precedent over studying mathematics. Being able to sit and study for 1-4 hours on a given day isn't something any regular person in the U.S. can do. Most people can't afford to sit for an hour to just study mathematics let alone 2 or more. The language of the books is mentioned aside. What feeds into the elitism in mathematics is the social standing of the people 'doing' the mathematics. You're more likely to encounter someone that managed to complete a university degree (B.S) who comes from a middle/upper-middle-class family or higher than someone who is low income. And a lot of the values from people in the middle/upper-middle is the perceived idea of, 'if you work hard enough you'll make it. This is, on one hand, sorta true(barely), but misleading. You can work hard while staying at your parent's place and not worrying over finances while they do that work, meanwhile, someone who isn't middle-class can't afford to do that, and coming home from work to study mathematics is rather exhausting. Often people search for an example of someone who was in that circumstance and made it work ignoring the dozens, if not hundreds of people that it didn't work out. To diminish elitism in this or any field would require more than modifying textbooks.
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  6265. That means he is a real Sorcerer.
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  6266. i would like a teacher as you
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  6267. This video just randomly popped up on my feed. Different than what I usually watch, but great insight here. I wasn’t the best at math in school, but I tried and passed. Thanks for posting!😀👍🏾
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  6268. Your videos move around college math always (Calculus, Topology, Groups etc...) but you should also consider olympiad math and appreciate resources used by olympian kids (ocasionally!) I suggest you to review some Titu Andreescu's Books or MAA journals. Waiting for your next video.
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  6269. uff the last point about having a focus nearly slipped me. This is a really big point.
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  6270. that's really helpful thanks 🖤🙏🏿
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  6271. Math makes me happy sometimes, and sad sometimes. It can really mess with my confidence, but now and then I'll understand something and it pushes me forward. Right now I'm struggling with learning proofs. It just feels like pushing symbols around to me, and seems kind of pointless. I get that it's not, and it will eventually make sense. I know that when it clicks I'll feel like a wizard. I kind of think of math as a shitty boyfriend. At first you're really unsure whether he even likes you. Then you have a breakthrough and you feel amazing. HE LIKES ME!!! Then you get to harder material, and he ghosts you! And just when you have finally decided to kick him to the curb, he shows up and is all, "Hey babe, I love you!" and you're like, "Oh my God he's so sweet! Maybe I'm the problem!" So you stick it out a while longer, and he bails again! And that just goes on forever. I'm a math major, but I don't have a deep love of math. I just want to make math my bitch. Then I think I'll love it. And it will love me back.🥰
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  6272. Honest question: what is the difference between “Algebra and Trigonometry” and “Precalculus” textbooks? Honestly, I don’t think there is much of a difference.
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  6273. Thank you so much I can do my university assignment after watching this here in Korea
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  6274. It took me years to decide what I truly wanted to do, it took some soul searching. I always had an interest in coding but I didn't think that would be something that I would be able to learn. but eventually after waiting years of working entry level jobs i decided that I was going to learn code in my spare time. After studying that for a few months I started developing a few small games in Unity using c#. After realizing this was wanted to do, I decided that I wanted to get a degree so I could have a good way to get into the development industry. I wasn't the best Student in high school because I didn't take it that seriously because I just wanted to be done with school, So anyways over the past few months I had to learn algebra 1 and 2 on my own and now I'm using your video tutorials to learn calculus. It's amazing how fast you can learn something and what you can accomplish when you put your mind to it and give it some effort. The whole point of the story I'm trying to make is that it's never too late to decide to learn something new. I'm 29 and have been able to learn an incredible amount in a short bit of time and I think that anyone else can too. After you get that initial momentum going its a lot easier to keep it up as long as you don't stop. Never give up on your goals and chase your dreams
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  6275. I took Newtonian Mechanics and Differential Equations last semester. I gotta say physics was super intense
    9
  6276. That last one of P.C load letter was hilarious 😂😂 These is our reality nowadays
    9
  6277. I absolutely appreciate your book reviews. They're the best. Thank You so much
    9
  6278. I think its dangerous for mathematicians to be publishing any material on April 1st.... 🤨 😁
    9
  6279. Can you do videos on the exercises in these books?
    9
  6280. Thanks! This helped me see why integrating sinx from 0 to 2pi leads to an area under the curve of 4 and not 0!
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  6281. My favourite book is “Memory as a Programming Concept in C and C++” by Frantisek Franck. The chapter on multidimensional arrays was very helpful for understanding pointers to pointers. I found the author’s style very enjoyable and informative.
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  6282. Thanks for this review of this book. I put it in my Amazon shopping cart. It always bugged me that I was not better at Real Analysis. I was an engineering student firstmost and when I reached my junior and senior years I was engaged in other high-powered courses. Later in graduate school, I got involved in higher mathematics; frankly, I didn't have a well-grounded background in it. So here is another reason to buy this book: how about an old guy who has a score to settle and an itch to scratch. LOL.
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  6283. Thanks you explained this better than my math teacher
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  6284. Hello, awesome solution to a u substitution problem in calculus. I utilized another method that involved letting u= x-4 and du=dx. However, I rearranged the problem where x=u+4. Substituting x=u+4 (outside the cube root) and x-4 for u (within the cube root), I replaced the integral with integral of u+4(u)^(1/3) du. Then I distributed the terms to get the integral of u^(4/3)+ 4u^(1/3) du. Then through the power role I got 3/7(u)^(7/3)+ 3u^(4/3)+C. Substituting u=x-4, I arrived at the same answer of 3/7(x-4)^(7/3) + 3(x-4)^(4/3) +C. It is awesome how many options u substitution has. It can even allow the user to avoid using partial fraction decomposition on integral problems which helps save a lot of time.
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  6285. Easily understandable with the example, thank you so much!
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  6286. Really cool! I am currently studying electrical engineering, and it feels good to know some of the concepts :)
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  6287. I shouldn't have watched it in the public bus. Me going "Wow, it's so thicccc" was not appreciated and earned a mean stare or three)) Also, Serge Lang probably is a person who has a more or less good grasp of the context of the book... Though as somebody who has never written a math textbook or even a paper, I can't say how much a writer of such literature understands what they write about, though it's probably a lot
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  6288. Superb video! I am a high school senior currently taking AP Calculus BC. I'd like to eventually get a PhD in theoretical physics. Your videos are a tremendous inspiration!
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  6289. I'm a chemical engineering student. Why should I buy this book? Ah, why the hell not? Just clicked on your link and bought it :P
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  6290. Thanks teacher, I love maths and English, I improve my listening skill with your videos, thank You very much teacher. Greetings from Venezuela
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  6291. 5:14: "I eat quite a few eggs. I probably shouldn't". This is why you should look at more up to date materials. The claims that eggs are bad for your cholesterol are outdated.
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  6292. Differential Equations is really getting to me. Thank you for your videos!
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  6293. I like most math I just don't like computing integrals :(
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  6294. To all the loners who complain about having none or too few friends, AREN'T YOU LUCKY that you don't have wrong people in your life? Aren't you glad that you don't have dangerous criminals for friends, those who bring troubles to your doorsteps? Consider yourself blessed that you haven't got parasites for friends, those who use you for your resources and even your place as a drop-in hotel. Count yourself lucky that you don't have silly, fickle friends who waste your time with their lengthy phone gossips.
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  6295. Finally a book to get you started. This book feels a lot in theory, But hey. You Reading a book is better than Those boring lectures. You can Always exercise in workbooks But it is a Great book to Link stuff and begin with. Plus, Always Read Books with patience. To enjoy and really understand what is going on.
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  6296. this is one of the coolest explanatory that helped me ever, thanks a lot!!!
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  6297. you dont know how much I needed to hear this today. Thank you!
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  6298. Horace Lamb wrote a number of books that were Dover reprints. As I recall, Dover reprinted his book on Hydrodynamics and another on the Dynamical Theory of Sound. In the English language, my favorite early calculus book is Higher Mathematics for Students of Chemistry and Physics by Mellor. It is very readable and a pleasure to read. It is now somewhat dated. There are French calculus textbooks going back over 50 years earlier than Lamb. There was a very early book on the Theory of Fluxions dating to the mid-1700-s.
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  6299. Henri Poincare' devoted 4 hours a day to math, 2 hours in the morning, 2 hours in the evening
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  6300. Great video! Needed to review on limits since I am taking Calculus II, could you do a video like this one, but taking the limit to infinity instead?
    9
  6301. Procrastinating my homework by reading Wikipedia articles on math way behind my comprehension ✅
    9
  6302. Everyone has a different method of learning and understanding the subject. I constantly take notes, underline important definitions, draw pictures to make things more clear for me.
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  6303. Sometimes you just need better feedback. But aside from that, you have to accept the delayed gratification that's part of any great project of learning and problem solving. This is even more true for things that are very novel and require creative insights.
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  6304. Does this mean howard was actually the smartest of the big bang cast
    9
  6305. I'm transferring to UMD this fall and Denny Gulick is still teaching there. He's 86 years old.
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  6306. if you go to a competitive graduate program and you need to be an assistant you must tell them in advance cause the positions are limited and are not open for long. make sure you know the cost of the program and plan ahead for the particular requirements (courses and thesis) so that you don't run out of money if things get tough and you need to stretch the time spent there by a semester (also part-time or full time alternatives). good luck.
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  6307. What a pleasant surprise!. My masters degree is in mathematics, but I've spent my professional life investing for others using the principles of The Intelligent Investor and its older and thicker companion, Security Analysis (including closed-end stock funds). Well done!
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  6308. I like these videos walking through proofs. Thanks!
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  6309. Jesus man, more people should watch your videos. Just stumbled upon your content, and I gotta say, great advice!
    9
  6310. Man, this is pure philosophy
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  6311. there are other things he says I don't agree with either, but overall it's a pretty solid read
    9
  6312. You are still a survivor. Here in Ireland, all schools and colleges have closed on account of coronavirus. When you begin to feel a little funny inside, something like a tick, that is precisely the time when you SHOULD start buying vitamin C and D and please take them in advance.
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  6313. Bro congrats your nearly 100k keep up the good work
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  6314. Hi,i follow you from Algeria 🙂
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  6315. Today well lived makes every memory of the past a good one, and every hope of future a blessed one 🥰😇
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  6316. Thanks!
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  6317. I also used the technique where you write the formula being used for that type of problem from memory. I found that using that approach in conjunction with a large number of problems really helped hammer home the formula. I also would derive the formula. For whatever reason, I could never remember formulas so I would always ask for extra paper, where I would derive every formula or value I would need. Hope this helps.
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  6318. 00:01 📜 Cryptography's historical context and relevance. 01:11 🔐 Recommended beginner-friendly book and importance of cryptography courses. 02:08 📘 Topics covered in cryptography, including number theory. 05:44 🌐 Cryptography's role in data protection and password importance. 08:50 🕵‍♀ Explanation of cryptographic concepts and security goals.
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  6319. good question
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  6320. Do not be afraid of hitting your head against the wall until you solve it remember: math is hard but your head is harder
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  6321. True 👍
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  6322. This video came at a great time. I just started my sophomore year at college. I currently have a 4.0. So far so good up until today. I only missed one question on today's quiz and it turned my whole day for the worse. Instantly became stressed and began to worry immensely. I came to the conclusion that as long as I keep my gpa above 3.5 everything will be ok, right?
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  6323. Maaan I'd love to have you as my analysis teacher 😍😭
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  6324. 2 I'd recommend for the UK viewers are engineering maths by either Bird or Stroud. They do the foundation stuff as well as more advanced such as Laplace etc depending on which you get. Only really the more advanced statistics they are missing out on. Really good explanations, worked examples and answers
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  6325. I recently graduated with a BS in Applied Math and I am considering teaching High School. Thank you for the video
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  6326. Salam from Philadelphia, USA 🇺🇸
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  6327. Maturity and motivation can rule the day.
    9
  6328. No way I'm this early! Staying up to do math paid off
    9
  6329. this is so true man
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  6330. I remember I had got this book during my first semester of college and my professor very much intrigued by the book due to its simplicity and its explanation. Great work book and made my mind going! I am glad you are reviewed it and liked it! Cheers.
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  6331. Absolutely love the new outside theme!
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  6332. I went through some long problems on my Multivariable Calculus homework two nights ago. I kept typing the wrong answers on the last problems. Took me like 3 to 5 hours with breaks just to get it all done. I started asking questions in my head like why I am doing this for? And why do I keep doing this to myself? hahaha After I was done, I felt like I didn't learn much or understood the material is well as I should. But then I thought about the nights Einstein spend trying to write the proper equations for his theory of general relativity. I didn't pull all nighters but I felt as if I was like 0.000001% close to the time and energy that Einstein and other scientists and mathematicians put into trying to get something done.
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  6333. All hail the sorcerer
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  6334. My acadamic record of the past year has been really good but I still feel like this. By now I learned that if I really put in a lot of effort I'll pass my exams and most of the time even with good grades - but then I see other people in my courses that seem to have a much easier understanding of everything than I have and that stresses me out again. Like you mentioned I'm a perfectionist and the thought of not being as capable as someone else bothers me to an unhealthy extend sometimes.
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  6335. Letters of recommendation are SUPER important. I would say only grades in upper division math classes are more important.
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  6336. And then you realise your back testing didn’t include commissions
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  6337.  @TheMathSorcerer  Borrowing math books from the library is a good idea.
    9
  6338. I cant belif i finally watching stuff like this
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  6339. Wow I wish to have a small book like that.
    9
  6340. “You don't study until you get it right, you study until you can't get it wrong.” I don't know why he thought he was the only person who realized speed is important while taking tests, but he's right.
    9
  6341. To lose patience is to lose the battle. -Mahatma Gandhi 👏❤️❤️❤️❤️❤️👏👏
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  6342. slayed
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  6343. man I wish I had this video for my Discrete math 2 class. Good video btw.
    9
  6344. I teach myself mathematics on my days off. I also take the chapter test at the end of each chapter. I must score 70% or higher before moving on in the textbook.
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  6345. Just the words I needed to hear! Always a pleasure to see more uploads from you!
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  6346. "Math 24-" (small, pencil) was written there by a used book seller; it means it's from the Math section and was offered at $24. This info used to ring in the purchase at the cash register.
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  6347. Nice camera quality! Love this look!
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  6348. As someone who self-studied, I learnt calculus with awful algebra. I didn’t know how to FOIL, but as I learnt more calc, I learnt algebra because of the exercises and examples in the book.
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  6349. Not a math major but currently work often, in an academic setting, WITH math majors. I've interacted in broad spectrum with many across all disciplines and worked in teams where Kineseology students were working every day with ChemE and Stats students. In my experience there certainly are math elitists, but the correlation is not necessarily in how much rigor they have in their studies or how much they know about a certain subject, but rather how often they have worked with other disciplines and other people in general. I've met math undergrads who frankly seemed to be elitist out of clear lack of self-confidence and drive to be great, and math post-docs who intently listened to me talk about boring engineering project-related subject matter to the point of taking notes(which really blew my mind). Those who tend to be more personable, empathetic, and easy to work with always have a sense of wanting to know more. Those who tend to not listen, criticize, and are hard to work with always seem to think there is nothing more they can learn. The Dunning-Kruger effect might be totally pseudo-scientific but it is certainly useful to have something that describes this phenomenon :)
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  6350. This was posted two years ago, and I got this same exact problem on my AP CALC practice exam. I had no idea how to do it and after watching this video I understand it completely! Now I’ll be ready for my real exam thanks!
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  6351. I was a junior high student in 1968
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  6352. This advice came in such a good time to me, thanks brother
    9
  6353. I still think you look like Sir Isaac Newton.
    9
  6354. "The object of life is not to be on the side of the majority, but to escape finding oneself among the ranks of the insane." - Marcus Aurelius
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  6355. ''Mathematical Habits and Calculus with Physics'' The way you do the work gracefully - I am very proud of you. Thanks for going through the trouble and it's worth it. You have the absolute power to rise above any situation or struggle and transform yourself into the strongest and most beautiful version of yourself ever. The secret to happiness is doing what you love and learning to love what you have to do to get it. Congratulations and best of luck for your promising future. Great job, you are amazing, you are important, you are special, you are unique, and you are valuable! Never give up, go ahead, fight for your dreams, everything will get better for you, I wish you good luck.
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  6356. My professor gave detailed answers two minutes after you post the question 🤣 Man this is hilarious
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  6357. Today is my birthday and this is a great gift! ;)
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  6358. The Auxiliary problem (7:10) is a good technique. It's like how I once read in a book about Zen, digging out a thorn with another thorn.
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  6359. So what math is math no matter how basic it is.Dude has a math channel.
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  6360. You hear my thoughts
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  6361. This helped me a lot now that im taking online classes and we're always having asynchronous classes. Thanks!
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  6362. Forgot "Please feel free to use Chegg for the answers." :)
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  6363. Thanks I really needed this 😭
    9
  6364. I love the videos where you give advice. ❤
    9
  6365. Math chad
    9
  6366. Beware, in this video, the Math Sorcerer is practicing hypnosis magic.
    9
  6367. I find DEs so interesting!!! Soon I’ll teach them myself. I plan to use Zill‘s book and Saff and Snyders DE Book simultaneously
    9
  6368. Math is so beautiful. I study while watching the videos about math that you upload. Please always review math books.
    9
  6369. Newton in the forest again!
    9
  6370. Business calculus books don't skimp on minima/maxima because that's the raison detre of calculus in economics. Most have a really nice treatment of lagrange multipliers in constrained maximization and will even establish an independent purpose for the multiplier (e.g., increasing/decreasing returns to scale), whereas a lot of full calculus books treat the lambda as a throw away variable.
    9
  6371. That optimization one really hit me
    9
  6372. The fact that I've been struggling all week to figure this out. And it only took 1:55 to make me finally understand.
    9
  6373. How would you take the derivative of more complex absolute value functions like f(x)=|x^3-2x^2+3x-5|? Do you follow a similar process?
    9
  6374. I'm just trying to prepare for BS in education with specialization in math by taking online non degree classes. I'm also hoping the online non degree classes will cancel out what a horrible student I was and help me be accepted by the university. I actually think its a great idea to take non degree classes before actually applying to the college. Its going to allow me to get an idea how well I might do in the BS education program and it will allow me to decide if I really want to try for a BS in education.
    9
  6375. Just wanna say your videos kept me motivated and grounded this semester in my calculus 1 class. I got a 48 on the second test and was feeling like I wasn’t smart enough but I watched some of you videos and I decided to keep trying and I ended up getting a 100 on the third test and a 95 on the final. Ended up with a B in the class and I probably would’ve dropped it after that second test if it wasn’t for your videos.
    9
  6376. Just finished advanced calculus as an applied math major... man that was rough
    9
  6377. i think a lot of people avoid math because they fear discovering that they aren't as "smart" as they thought they were. It seems counterintuitive but in my experience, in order to put in your best effort you have to learn some humility and accept that some things won't come easily to you.
    9
  6378. Where do you teach at
    9
  6379. It hurts to see you in this position and living in such a small place.. I am very dissapointed that people like you are not valued in the society..sorry brother..Have a good day
    9
  6380. I am from north Africa and i remember a very popular book series of "Landau lifchitz" and Feynman lectures they were recommended by our professors when we were students 15 years ago .
    9
  6381. You know what I think? You sir are filling a very important void in the communication of mathematics by making videos like this. I have never seen the emotional and psychological components of learning mathematics being addressed by anyone. It can be argued that these components, if properly dealt with in students, is all that is needed for academic success. In a sense the rigor of mathematics is not the issue, but rather it is the emotional and psychological state of the student that needs to be nurtured.
    9
  6382. The math of the electrical engineers!! :)
    9
  6383. Stroustrup did the same (pronunciation) thing.
    9
  6384. Just like Popular Science magazine brought science to every home, Popular Mathematics magazine would be a good idea. Printed magazines still have some use cases.
    9
  6385. What's the mathematical theorem on this? I wish there was some formula on how to live, maybe one day it'd be possible to quantify happiness
    9
  6386. You might say this channel's content is repetitive, but it is so helpful to hear the positive messages about studying math and learning how to learn more effectively repeated. Thanks again.
    9
  6387. I was hoping for an explanation as to why the integral of 1/(1-p) would be negative! Thanks. I enjoy how you don't tend to repeatedly say the same word four times.
    9
  6388. I remember when I first took a analysis book, and was this Papa. Man... I was really scared, thinking "omg, a I've learned nothing from high school". And then, my advisor explained to me the difference between non-brazilian graduation and national system.
    9
  6389. Math socecer plis read this. Keep uploading these random calc2 problems. You have not idea how much this means for me. I haven’t started yet calc2 and I already know about 80 of the material thanks for you and prof leonard. U are a true legend Wwwwwwwwwwwww (I used to be a dommy and now look at me taking calc2 and I passed calc 1 with a B 💀💀💀) Again thanks u so much ❤
    9
  6390. The SwoleSorcerer
    9
  6391. its like one of those never-ending zooming fractals
    9
  6392. It helped to have an engineer as president. Cf. Iran.
    9
  6393. Ironic
    9
  6394. Excellent book. It is the one I kept turning to when learning Discrete Mathematics (two others I own mostly stayed on the shelf).
    9
  6395. Most of what I learned about mathematics was not in the classroom. It was learned in self- study before the age of the internet.
    9
  6396. Thank you for this! Mathematical Analysis is this for me.
    9
  6397. So cool! Love your videos and great personality!
    9
  6398. I got the notification while I'm studying electricity physics, that's really cool. + can you make a video about Academic accumulations? It can ruin everything for months, it's really a hard thing while being in highschool
    9
  6399. Very well explained, I don't speak english, but I understood
    9
  6400. I kind of have another perspective of seeing it, which also includes time. The way I see it is you can be considered very good at something with more experience you have, and you can get that with more time you put in. So for example, my introduction to programming class was actually the very first time I've tried any kind of programming. There were of course many others like me. Now, I did really well in that class that many of my classmates thought I was a natural, but I disagree. The thing is I was putting probably 27 hours a week into learning the materials. When I asked how much hours of work my classmates were putting into their studies. It sounded like they were only putting in about 6 hours a week on average. So by the end of the semester, which would be about week 18. I would have about 486 hours of experience whereas my classmates would have about 108 hours of experience. We started on the same day and ended on the same day, but because I've put more time in between I ended with more experience. I guess I also had the advantage of really enjoying the class as well. :)
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  6401. I never knew these Calculus book exist. Thank you Math Sorcerer for sharing these amazing books! More books to add to my collection.
    9
  6402. Math.
    9
  6403. We all hope to see more informative content like this. Keep up the good work and may God bless you.
    9
  6404. Another great video, Math Wiz! You always give very helpful tips :)
    9
  6405. Velleman's book is a gem; the book is straight forward and has a lot of great examples
    9
  6406. I agree with this
    9
  6407. There is no other person like you! I really appreciate your work here on youtube, and I really wish that I could have had you as my teacher back in my school days :D
    9
  6408. When I was tutoring Highschool kids, as a Junior Math Major in College, I would always emphasize rewriting the entire line of work for each step. For me, I’ve found this does several things... 1.) Provides pride in the assignment because it just LOOKS like a lot is being done, and makes you feel smarter, giving you the confidence you need to move forward. 2.) Allows you to follow the math slowly to better understand each and every process 3.) Reassures that you’ll catch a mistake if there is one Take BABY STEPS with each new line of work, even if all you accomplished from one line to the next is just something you can easily do in your head. Doing simple math in your head is not what math is all about. Following logic through to the very end for supportive reasoning is what math is all about. ❤️ Plus, the more baby steps you take when working out a problem, the more daunting it will look to someone looking at your work, giving them the impression that you’re smart than you actually are! 😂 Lots of reasons for baby steps! Thanks for your continuous GREAT uploads good sir!
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  6409. Not always though :(
    9
  6410. I'd say to take calc 3 before diff eq though they don't really overlap other than slightly with partial derivatives
    9
  6411. No wonder i suck at math, i m lazy asf
    9
  6412. Loved the “it’s all on you” bit!!
    9
  6413. bro the lightning is terrifying
    9
  6414. Please make a video on how to understand maths.
    9
  6415. Emmy Nöther was the very first female teacher in Gotinga (1917), by an invitation from David Hilbert. Emil Artin was her best disciple and together they were the founders of the modern absrtact algebra. These books can be considered classics.
    9
  6416. Hi Math sorcerer, can you please create a video on all various branches of mathematics and how those are related.
    9
  6417. Review some books on Combinatorics . 😊😊
    9
  6418. yes I know, but my wings are tied. I can't find a job. Money problem...
    9
  6419. Hasta que encuentro alguien que hable español
    9
  6420. Maybe in grad school, one can get away with this, but I never had time to self-study or to let the information I was being forced to study marinate. Advanced math for me was just an extension of “plug-and-chug.” I’d learn whatever technique or memorize whatever proof I needed to pass and that was that — very little deep understanding. That’s one major complaint I have with the way mathematics is taught in the university setting.
    9
  6421. I just finished my 4th semester pursuing a PhD in Electrical Engineering and recently turned 50. I have a prior bachelor’s degree that provided some background but not all that was needed. This has led to some significant struggles and, at times, made me question my decision. My biggest piece of advice that I can give is that when your feeling exhausted and possibly want to give up, just tell yourself that you need to finish the semester first and then reevaluate that feeling. My experience is that you will look back after the semester and want to stay in the fight!
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  6422. Thank you for your wisdom! ❤
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  6423. There are patterns in everything. The color in light, the reflections in water... in math, these patterns reveal themselves in the most incredible form. It's quite beautiful srinivas Ramanujan Just because we can't find a solution it doesn't mean that there isn't one. Andrew Wiles
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  6424. It's funny how integrating trigonometric functions was a pain to solve when I learned calculus in school. Now, it's not as painful as I remembered. Good video!
    9
  6425. Great job. Just found out about your videos. Keep up with the good work.
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  6426. In my opinion,I would do the things I love because that I what is going to push me everyday,and the work will never be work for me ,bez I am having fun.But overall it's ONE LIFE BABY! So Take a wise decision.A decision that will make you proud when you will back in your life....
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  6427. The idea posited in yesterday’s video was pro-competition and now it’s against competition... I’m confused 🤷‍♂️
    9
  6428. The girls were in a sorority, and their sorority collects and stockpiles any and all exams taken by members. They studied those past statistics tests together. This happened to me in numerous science and math classes at Berkeley (but with guys and frats). I was always confused by how these very (relatively) average guys were scoring so high every time. I only learned about this years later.
    9
  6429. Regarding the pencils you link to in the description, I found that Dixon makes a 3 sided pencil called the TRIconderoga. It's larger diameter than the #2 Ticonderoga and its shape makes it much more comfortable in the hand during extended study sessions. Caveat: I found Boston and Arco adjustable hand crank sharpeners at garage sales and they work perfectly with these bigger pencils. The included sharpener has a single blade and didnt work well. For pens, the Pilot G2 fine point is perfect, but somehow my proofs still sometimes have errors :/
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  6430. That tabular way of solving i absolutely loved it 🖤 i didn't knew it before. 🥰 Thanks sir 🥰
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  6431. Crystal clear!
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  6432. WOW!!! like, seriously amazing videos! Bro, you're like my hero, and my hero was Batman! so consider yourself supremely awesome, since Batman beat super man, and you're greater than Batman, then you can beat Superman! LMAO! Seriously tho, thank you very much, you're videos explain the small subtleties that the book doesn't. Needless to say, you reference back to why such justifications are true to each statement. Which can be taken as something easy, but when reading through a bunch of dry text, letters, symbols and so forth, needless to say attempting to put together a coherent picture from such abstract concepts, it can be very difficult! At least for me. So Thank you for all your hard work! keep it up! 10-4 out! ....Skatooosh!  Math RULES!
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  6433. This video seems kind of sus
    9
  6434. Holy crud you're awesome, I love your energy!
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  6435. A long long way to US overseas, but among the first to watch. That's cool. From Senegal. Thanks for all!
    9
  6436. The mantra "I'm never stopping learning new things, no matter what" which is 100% true in my case, helps me with my confidence
    9
  6437. 7:27 The typography for the "G" is called "Fraktur". It's an old German typography.
    9
  6438. the boss 🚬
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  6439. You are THE BEST! Your D.E lecture videos are what got me through this semester. Your passion and enthusiasm is absolutely one of a kind, and you made learning this class not only possible but enjoyable. You are an absolute gem of a teacher and please never stop doing what you do. I'm not even one of your "students" but you are the best math teacher I've ever had! Thanks for these lecture videos, the fact that they are free is absolutely amazing.
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  6440. This is the library calling, we seem to have located some very past due books in this video.
    9
  6441. Hey Dave, glad to see you're moving on in a positive way since your time in Van Halen. Didn't know you loved math so much. Thanks for the memories and this video.
    9
  6442. Dam these advice videos are so motivational. Time to do some math😈
    9
  6443. Stewart is one of the best math authors. His textbook problems are really exotics. One year left to finish my math bachelor.
    9
  6444. The most discouraging thing for students is low grades for hard work. Smart professors won't grade their students smartness but their overall understanding of the subject.
    9
  6445. Disk method is OK. Shell method is trickier. Nevetheless, both are not that hard after doing 10 + practice problems for each.
    9
  6446. I can't believe I'm the first comment. This is really great. This playlist is really helpful. Thank you!!
    9
  6447. Thanks prof: Sorcerer, you often mention a homework in your lecture in DE playlist, could you please kindly tell me where I can find it?. Thanks for your prompt response.
    9
  6448. I really need to do this to increase my math skills. Always struggled with math.
    9
  6449. i'm taking PDE next semester! what ODE topics do you think we should be solid on to be prepared for PDE? thanks!
    9
  6450. this is ME! im absolutely obsessed with maths and its the only subject i actually enjoy even though i dont ace the subject every time…which is weird but u saying that its “common” made me feel like its a regular thing lol
    9
  6451. I'm a Physics geek and have had a number of Professors & TAs whose first language was not English, but their speech patterns were very fixed: their accents of syllables and pronunciations of diphthongs, etc. were always the same, so they were easy to decode. PS: go to their Office Hours!
    9
  6452. Idk why I’m here...I’m a history major 😂😂 Great vid tho
    9
  6453. Thanks for this, one question, is it valid to go further in the inequalities and write that 1/m^2 + 1/n^2 <= 1/m + 1/n so the epsilon expression is easier to find usin archimedian principle as well?
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  6454. My thoughts exactly 😂
    9
  6455. Halo music is great for studying
    9
  6456. Thanks for the advice! Last week I made the decision to study for math gradschool at University of Utrecht (Netherlands), 250km away from my undergrad university. 😁
    9
  6457. A book which is something between "Calculus" and "Real Analysis". A great book, and the problems were amazing!
    9
  6458. Thank you for debunking the myth we have created around the elite, be it writers, musicians or the ultimate one THE mathematician. We have created these myths merely because as usual, we alway want to say, well I am better than you are( I have inherited talent that you lack). How many of our students have we fail because we have said to them "Maybe this isn't for you!", even though we knew that a nineteen year old has no concept of this ratio (K,P,t) ! I thank you for being an inspiring professor and articulating what are the most important parameters in achieving one's goals.
    9
  6459. Thanks budd, here had the idea of doing that but not sure if was like that, now gotta go to beat some Differential Equations and save the world thanks to you
    9
  6460. Bro, can you suggest a general math book for beginners❤️🙂
    9
  6461. Unfortunately one cannot post an excellent cartoon on how numerate individuals approach the market so let me try and summarize: Panel 1: A clearly numerate individual in front of a computer says, "I'm numerate and know about mathematical modelling....." Panel 2: He says with a confident look on his face, "the stock market is about numbers so I should have no problem making money......." Panel 3: Same individual looking somewhat nonplussed, "Whoops.......where did all my money go.........." 😂😂😂 I agree that Murphy's book provides and excellent overview of TA that captures the emotional ebb and flow of the market. By the way many simple TA tools are behind the scenes simply digital filters - even the humble moving average - applied to price fluctuations.
    9
  6462. You also need to differentiate between high standards and unrealistic expectations. I saw an interview with a high school senior. She had applied to MIT. She said that if she didn't get in, she didn't even want to go to college at all. MIT was her life-long dream. If you set the standard for yourself that every class or undertaking is worthy of your best efforts, you can't help but be successful. Maybe not in every class, but you will in life. I don't know if the girl got into MIT or not, and if she did, if she even graduated. Plenty of highly successful people in STEM professions went to state universities. Outside of the academic world, once you're established and proven yourself, nobody cares where you went to school.
    9
  6463. That's so true
    9
  6464. I did it thus: 27 + 27 + 27 = 81. Then I looked at the available answers till I found one that equalled 81. My maths is really poor, so as usual, I went the long way round.
    9
  6465. Start to finish meaning when we get done here with all these books we’re basically mathematicians
    9
  6466. Man, coincidentally or not, I was talking about it with my professor a couple days ago. I do Statistics here in Brazil, and I was talking to her about how being passionate makes all the difference and often I described myself as just an effort guy, but when you said that for just being here watching these videos I'm already quite passionate that made me rethink what passion means, passion perhaps is to keep going forward, struggling with calculus or linear algebra but knowing deep inside that math above all is a language made to describe the world with numbers, why not a kind of poetry, that's why, like poems in general, if you know the language that it's written it doesn't mean you're gonna understand the message; so math has a message and maybe it's up to us to find it out, to feel it, with passion, as you do with a poem.
    9
  6467. Kudos! Thanks for sharing!
    9
  6468. Majority of books are terrible at explaining too much theory
    9
  6469. What he said at the end about us neglecting the "story" side of math, made me smile, I'm the type of person who like to know the story behind the evolution of something before getting deeper into it. Thank u so much for this amazing interview.
    9
  6470. Professor today is my Calculus exam and you and your content are my lucky charm ♥️♥️♥️
    9
  6471. "People think you can solve all their problems" as a software developer I relate to this on a spiritual level haha.
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  6472. I have been using Thomas Calculus Early Transcendentals 13th edition and I've really loved it for the most part. I would love to know how they compare. I've heard a lot of good things about these older, original versions by the actual Thomas. I've been thinking about getting one of them, especially if they could be similar enough to utilize alongside the modern versions. It would really really make my day of the great Math Sorcerer could compare and contrast these older versions with the new Thomas calculus books if you've ever used them!
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  6473. "it's about how bad you want it"
    9
  6474. I used to dream of getting a PhD in applied maths from Princeton while I was sleeping in classes at UNF in the early 90's. Concerning the size of the department and your personal career goals, a larger (theory group) will usually give you much greater opportunity to get you work published.
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  6475. How did you know I am watching this at 2020? 👀
    9
  6476. You are awesome!!♥️♥️♥️
    9
  6477. I am that fellow's age, and I began over the years to figure out why I had struggled with linear algebra and differential equations. About seven years ago, I found the answers. Over the past two years, I've spent much time trying to plug the gaps I had in calculus and its prerequisites. I wish I'd had the internet around 1977 when I gave it up. I intend to use it for other purposes instead of a degree.
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  6478. I inadvertently became a collector of math books. After a career as a trial lawyer I decided to take time when my kids were young to get the science course credentials to sit for the patent law exam. (I majored in history undergrad). I couldn't fit the science courses into being a new mother as easily as the math courses and ended up falling in love with math. Long story shortened I became a secondary math tutor specializing in work with students who really struggle particularly those who are defiant and hate school. (I come from a tough background and they knew not to mess with me but I also really liked them.) Anyway, I started buying math texts that offered different approaches to various topics to offer varied explanations. And the collector in me went a little wild for a while. My most prized books include Arithmetical Problems E.L. Dubbs and Company (1893) and The American Intellectual Arithmetic John L. Stoddard 1849. Bought at yard sales and junk shops for super cheap.
    9
  6479. I have old copies of Schaum's Operations Research and Numerical Analysis. Really good stuff in the whole series. Do you plan on doing any book reviews on the topic of Operations research or Management Science/Analytics? It's basically applying advanced math (not upper-division math like topology, more like basic discrete math and some calculus) to problems involving optimization of how to allocate resources in complex systems. The Lieberman/Hillier book is the most popular, maybe your audience would benefit from seeing some reviews on OR books or books on other "applied" math subjects.
    9
  6480. This video is everything I never knew I always needed, to further my self-studies in mathematics. Thanks so much!
    9
  6481. I need daily motivational videos like this :))
    9
  6482. I'm studying Mechatronics Engineering and finishing i plan doing a Masters in Artificial Intelligence and a Phd in Theoretical Physics. Is it possible to enter Physics Phd after Engineering and Artificial Intelligence? Is it worth it?
    9
  6483. I haven't taken linear algebra and could answer a couple of these.
    9
  6484. Thanks for the video.
    9
  6485. >Not uses Time New Roman. That's why I don't like sometimes how old books looks hahahaha,
    9
  6486. 3:00 that is so me, I always smell nostalgic books, takes me back in time.
    9
  6487. It doesn't matter if I'm better at math than a tall man from India, it only matters that I'm working to be better today than I was yesterday. Keep up the good work!
    9
  6488. My plan is to take multi and diffeq classes to get to digital signal processing, but maybe I should just get this book.
    9
  6489. Just do both! They overlap like 3/4th of the requirements!
    9
  6490. I started getting into the schaum's books doing self study to stay sharp. I'm a BS in ee and starting doing nothing but problems from the basic electrical engineering. Almost done with chapter 3 and nailing most the problems and understanding almost all. These books go beyond what I've seen, but definitely interested to get into higher math in time. I like knowing I have the answer and not in the dark with schaum's and it gives me more confidents do problems. Self study like all my hobbies is a time hog if I want to be good, but definitely has more benefits than most my other hobbies.
    9
  6491. "The C Programming Language" this book more like a technical manual, and recommended for someone who already familiar with programming. there was a text book from Gary J. Bronson "A First Book of ANSI C (4th Edition)" is recommended for fresh learner's. this book have a lot of exercise which can help student to practice and understand problem solving technique with any programming language.
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  6492. What subject would you recommend studying first after finishing an advanced calculus course?
    9
  6493. I've just started working through an undergraduate abstract algebra textbook (Introduction to Abstract Algebra by Thomas A. Whitelaw), proof writing is so fun and learning so much already, on day 3 and nearly on chapter 3. Maths is such a beautiful subject, especially the art of proofs.
    9
  6494. For me, the smell of a book is almost as important a buying factor as its contents. I tried to impress this 'smell of knowledge' on the kids in my primary class when we visited the local library as a means of engaging them... We did get some funny looks though... 😆
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  6495. Data science seems interesting to learn. May you continue to receive more blessings along the way.
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  6496. I am on a PhD program right now and I know I am not as smart as others in the program, however, I am doing fantastic. How? I work hard, I prepare 3 times harder than others and I do it because I know I need the extra effort!
    9
  6497. Your channel is so inspiring.
    9
  6498. Watching you and the students banter is so fun. It's especially fun when you greet the late students so enthusiastically. If I was in your class, I would always be late lol.
    9
  6499. This book is a bridge that helps a person gain confidence by asking questions. It ought to be mandatory reading for school leavers on which ever path they find themselves on.
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  6500. There were some things that I agreed with (e.g. test correction opportunities, giving full credit to homework that was at least attempted) and some things that I disagreed with (e.g. just using the calculator and Wolfram Alpha to get the answers without showing any work, attendance not being mandatory). Also, I just completed a course in mathematical modeling and another one, which was based on writing proofs for things like recursion, relations (my favorite!), and number theory. Both of them were A's!
    9
  6501. Having a good knowledge of topology as well as calculus of several variables is essential for starting to learn differential geometry since we have to study manifolds there.
    9
  6502. As someone wh is getting back into math after over a decade of not doing anything I cannot say how much I appreciate you for making these videos with the patience and pace that you do them.
    9
  6503. Math Berserker
    9
  6504. 1) I skip classes (practicals) and lectures regurally (I sometimes miss half of the particular course). The reason is that I usually don't remember the proofs that are taught during lecture. In order to remember the ideas and key steps I usually have to go through the proofs on my own, make notes on what and why I have to do, draw pictures, explain it to sb (usually myself) etc. This is the way I learn theory and since it takes enormous amount of time, I usually decide to skip class in order to study. When it comes to practicals it often seems useless to be in the classroom because tutors usually work too slow on the easiest examples or spend way too much time on examples that are worth going through theory-wise but are completely irrelevant for the exam. Therefore I rather work through it on my own and if I don't understand something I discuss it with my friends. Furthemore, complete solutions are usually part of the problem sets. The thing that probably hurts my grades the most is not practising ENOUGH, so even though I might know all the typical problems, some of them can be rather tricky (especially the ones that are exam difficulty). 2) I always do homework, but tend to forget what the content was. However, most of the hw that I am assigned is theoretical, and although it is valuable experience for learning how to write proofs, it really is useless prep for exam imo. This is not a rule ofc, sometimes I get hw that consists of content relevent to the exem, but I feel like in most of my classes it is not the case. 3) I always study for tests (prep takes 1-2 weeks). I have never failed an exam, but I have recieved a lot of C's (least possible grade in order to pass).
    9
  6505. In India, Gyan Publishing still publishes a decent copy of this. The unabridged volume is over 1000 pages long. Never bought it though. I can't digest this book.
    9
  6506. Give us a tip on how to practice actually and not give up. How to learn intuitively all by yourself.
    9
  6507. Yesterday I broke down crying in my teaching mentor's office because I was lacking confidence in my teaching ability and feeling overwhelmingly stressed. She reminded me of this: "You know the math. Go in there with confidence because this math is easy now." Remembering where you came from certainly helps boost confidence to keep pressing forward.
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  6508. I’m glad you are questioning the term “real world” like a philosopher, other terms that deserve same questioning include “normies” and “moderates”.
    9
  6509. that audio came straight from 2000's even though EE is hard i think itd be a great experience for those who love learning, though still painful. (Im in intensive math and physics classes, hard but fun too)
    9
  6510. The swag sorcerer back with great advice
    9
  6511. "Fire is the test of gold, adversity is the test of strong men." "A gem can not be polished without friction, nor a man perfected without trials."-Seneca "Time is still the critic. Patience is the best teacher."-Chopin
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  6512. Thank you for your suggestion Math Sorcerer Sir. How do this book rated in terms of easeness for beginners to learn compared to Intermediate Algebra by Robert Blitzer that you have reviewed before?
    9
  6513. I once found a book from 1905, in my college's library, it was a table of logarithms and trigonometric functions written in german. I couldnt check it out though, it was so dusty that I had to put it away because Im allergic to dust
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  6514. I first fast for three days, then bathe and fumigate my hands with holy incense, sprinkle myself with holy water, then I put on a mantilla, kneel down, prostrate three times, then I open the book, ,,,,,👀 and take notes in my vellum roll. Then I realize I’m still not admitted to be an Illuminati , and will apply in 2030 again to join the Illuminati’s.
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  6515. To introduce you to Analysis, I think the best option is Spivak´s "Calculus". To go deeper into the subject Rudin´s "Real and Complex Analysis". For an introduction to Abstract Algebra, with all the common topics and a good introduction to Galois Theory , I find Lang´s "Algebra" is the best option. For a good introduction to Geometry, I think everybody should read Artin´s "Geometric Algebra".If you are interested in Functional Analysis , like I am, the two references are Rudin´s "Functional Analysis" and specially a quite unknown book "Theorems and Problems of Functional Analysis" written by two Soviet mathematicians, Kirillov and Gvichiani, which is really a jewel. I´ve their original Russian version and also its French translation, but I presume it was also issued in English. Postnikov´s "Lectures in Geometry: Lie Groups and Lie Algebras" is complete and readable about this subject.
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  6516. I thought you were only going to show that sqrt2^sqrt2 is irrational and it would only be a proof by example, but the ending was great! Thanks for sharing
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  6517. im taking calc 2 chem 1B and a real estate class over the summer. I know only pain.
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  6518. Estoy casi segura de que Javier es de la facultad de ciencias de la unam jajajaja, todos andamos en las mismas. Anyways, thank you so much for sharing this video, im in the exact same situation and things like differential equations, electromagnetism, etc. are being really difficult for me as a physics student who lacks a lot in what is required in math. I often feel lost because i dont even know where to start but this has given me the idea. Thanks again so much for your videos!
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  6519. For me it was attending mass, in person or online, and praying, and fasting
    9
  6520. when your homework is in youtube, you will never forget it
    9
  6521. Nice video about the mental or psychological aspects which are relative to solve any problem or deep thinking❤.
    9
  6522. Indian mathematics👏👏
    9
  6523. Crack 10/10, thank you so much, this was very helpful for me
    9
  6524. I'm just finished calc 2 and solved it pretty easily, though I think that I would have definitely found this challenging if this was on a test in my calc 1 class.
    9
  6525. In mother Russia, you don't solve algebra problems, algebra problems solve you 😎
    9
  6526. Book review and a cool problem. It's Christmas. Thanks Doc!
    9
  6527. Just a heads up. You can also order used math books from Advanced Book Exchange as well as from Amazon, sometimes a lot cheaper. I just ordered Saff and Snider's book, 3rd ed for $8.55.
    9
  6528. This is so interesting! I never learned this in trig. Just went straight to radians. This series is really fun I love it!
    9
  6529. That's funny I am actually reading this book right now. I just finished Chapter 2. The exercises are fun and challenging. From what I understand C is still quite popular, and the amount of programs being written in C even surpasses C++.
    9
  6530. Finally you doing video on Mir publication, this books are best.
    9
  6531. I seriously love all your videos and recommendations! I'll definitely look into getting this book. I collect textbooks too so it would be nice to add this to my collection.
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  6532. When I went to Berkeley there were three levels of complex analysis offered: 1) For sissies engineers; 2) For math majors; 3) For honors math majors. I took #3 and got absolutely blown to smithereens. Calculus seems like a walk in the park.
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  6533. We all have 2 effective assets in math learning, and in life in general: Mind and Time. Time means Patience. Why Patience, simply because math is a gradual discipline. And through our Mind we should know the nature of math in order to learn it adequately. Unfortunately, most of math teachers forget to emphasize on the nature of math. Patience, perseverance will be rewarded.
    9
  6534. Oh my gosh! You thought better than my professor! I love that you repeat everything multiple times and show where you got it from!
    9
  6535. Hey, I'm from Brazil. When you mentioned that I was like WOAHHH I really appreciate what you're doing. I'm not currently studying math because I don't have the time (I'm writing my thesis for my undergrad course in psychology). But once this phase has passed, I'll start diving headfirst into math, and your videos are establishing the proper setting. So thank you!
    9
  6536. Obviously being a prof and a veteran of grad school you have it ingrained but man...you have just got the math professor verbal cadence absolutely nailed. 👍😂😁
    9
  6537. Well said!!
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  6538. Currently learning this stuff in my theoretical foundations class haha. Good stuff man, you always put out great content. How did you feel about these when you were first introduced to them?😅
    9
  6539. So this is where the magic happens 🧙‍♂️
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  6540. No sé ingles pero aquí estoy tratando de entender :"v
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  6541. Interestingly enough, in (East) Germany spherical geometry - and its applications in mathematical geography, navigation, celestial and nautical computations - was one of the main problems of the centralised written mandatory math Abitur exam (= end of secondary school exam / university entrance qualification exam) from 1946 until the late 1950s. And because there was no calculator, the pupils had to do all logarithms and trigonometric functions with "Rechenschieber" (slide rule) and "Tafelwerk" (book of tables). I do not only have the exam questions but also the "Musterlösungen" (sample solutions), and some of them were almost 3 pages long! In the 1960s the math curriculum changed and so did the exams: less long convoluted problems, but more topics and more shorter problems, e.g. spherical geometry was replaced by analytical geometry and vectors.
    9
  6542. Just when i think i didnt understand anything from my abstract algebra prof, you always pull through! Thanks a ton Mr. Sorcerer!
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  6543. When I was at the first semester at university, I watched a lot of master's dissertation presentation. In one of this works, one of the judges was clearly tired, but energetic. When the student finished, he said something that I've wrote at my real analysis book (my main difficulty): "it's a lot better a well seasoned fried egg with rice than a horrible filet mignon". I took this as a advise: take the time you need to make a good job. Even if you need to present for tomorrow, do something basic but good.
    9
  6544. wholesome channel
    9
  6545. You forget about saying that generally, they HIGH IQ and almost all of these traits in your list, are strongly correlated to that. But yeah, in general, is a good list.
    9
  6546. Just in time for a new semester. Thank you Math Sorcerer. 😇
    9
  6547. I am so grateful that you created a mathematics channel; you say a lot of stuff that math teacher don't say. I have been very benefitted from your channel.Please keep sharing math videos
    9
  6548. There are Student Solution Manuals for the Thomas' Calculus books as well.
    9
  6549. The one you linked isn't available. The product picture shows a dust jacket. If you click on the author's name, you get two results, the second one looks like what you were showing us.
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  6550. Out of all the advanced math fields (Advanced Calculus/Real Analysis and beyond) I’ve always wanted to learn differential geometry most because of how it ties into general relativity. I’m not at the mathematical maturity to study it as rigorously as a mathematician would. I just took a basic proof writing course meant to prepare you for Advanced Calculus. I would probably have to self study Advanced calculus on my own before I’m ready for that and I don’t know when I’ll have the time for that. But hopefully I can start learning about both of these fields relatively soon.
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  6551. Not every students who did their homework are good at math. But I never see a students who are good at math didn't do homework.
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  6552. You're such a cool mathematician, Mr. Sorcerer! Some can be arrogant and discouraging: "well if you're having trouble, maybe you should major in something else".😝So thanks for all the inspiration and positivity!!! :goodvibes:
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  6553. if you believe that we are only using a small part of our brains, maybe you should stop believing in yourself.
    9
  6554. My brother got a BA in mathematics so he could work in computer science.
    9
  6555. I wish I had a math teacher like you. Great video.
    9
  6556. Thank you . I was seriously about to drop my Advanced Calculus class .
    9
  6557. Thank you kind sir
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  6558. As someone who isn’t going to college but is still learning math your lectures are huge! Really helps to have a person write stuff on a board and be in a classroom environment. There lacks a lot of energy from black screens and colored lines in other math lectures. Don’t get me wrong, they are helpful but there’s something I like about seeing a person express themselves. Thanks!
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  6559. Love the extra explanations and how you didn't assume a ton of knowledge. Every math video should be like this one.
    9
  6560. Generally, the hardest class is the required one that you most hate having to take. For example, being required to learn a second foreign language to earn a graduate degree might be high on the list. Other candidates likely are members of the list of most often failed college classes.
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  6561. This is amazing, amusing and very educational. I am always happy to attend these recorded classed.
    9
  6562. Reduce your brightness sir :glasses-purple-yellow-diamond: Still, I love the tech upgrade!
    9
  6563. I love lean Only the chosen ones will understand
    9
  6564. I don't have this and that's probably a big reason why I struggle. Thanks for opening my eyes to this
    9
  6565. A few of theses lines I absolutely believe in!!
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  6566. Love this book, will be using this along side my Analysis II course this semester
    9
  6567. Nice video, explained brilliantly!
    9
  6568. This is the book I used to learn real analysis! Its honestly amazing, the explanations are so clear and this guy has a great sense of humor
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  6569. I did my PhD at Charles University in Prague, now I am a postdoc. It is interesting that our curriculum was kind of different from the one in USA. In particular, our first year at university everything was already with proofs. The first year involved analysis (1 and 2), linear algebra (1 and 2), discrete mathematics and everything with proofs. So we were really forced to learn how to write proofs in the first year and it was very tough in the beginning, but it paid off. Also during the high school the university organized a distance seminar in mathematics for high school students. The organizers would send out (not only) olympiad-style problems, but we would have roughly one or two months to solve one set of problems, so it was less stressful and one could think about it at home for a long time. This was basically about writing proofs. Also, some problem sets had accompanying text which would introduce a university-level topic (group theory, graph theory, probability, combinatorial geometry, etc).
    9
  6570. I feel that it's also important to make sure you learn as much as possible from each time you fail by reflecting on all the mistakes you may have made as well as positive things that you should keep up.
    9
  6571. I know this channel is about math, math books and inspirational messages for people who have a hard time with math. I really appreciate your way of speaking, it seems sincere and I think you really care about helping other people. Have you ever thought that many, not all, but most of your messages apply to other subjects like physics? About having a model, I never thought of that. I admire many scientists. When I was a teenager, I admired Leonard Euler (I still admire him.). Today, someone I have a deep respect for is Carl Sagan.
    9
  6572. Yes, Schaum's outline/reviews generally pretty good (though in public libraries and bookstores they are jammed against competitors from other publishers).
    9
  6573. Your joy for mathematics, knowledge and physical books is infectious, Sorcerer. And always an inspiration.
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  6574. This book was used in my foundations of theoretical math class, but we used the 7th edition. It's a good book. Plenty of exercises to practice from. But it was quick to jump into the math topics. The book wasn't strong in showing the variety of proof methods to use. I learned how to write proofs, but I wish I practiced knowing when to use different kinds of proof methods - contradiction, contrapositive, etc. Because of my limited knowledge of convenience thinking about how to strategize solving proofs, I actually did all my homework using only direct proof, which was painful yet intellectually enlightening.
    9
  6575. Sounds like me learning graph theory!
    9
  6576. Absolute legend, this is way better than how my teacher explains it. Hope you doing well!!
    9
  6577. A simpler way to solve it would be simply to multiply every term by by (bdf.../ace...)^n = k^n. This can easily be seen as the correct thing to multiply by when one thinks about trying to get the ratios given. All that is left then is (p(k^(m-1)/b)^n + ...)/(p(b*k^m)^n + ...) = k.
    9
  6578. well I've read in book "Brief history of humankind" that evolution didn't give us any power to remember numbers, bc 2 mil years of evolution it wasn't about numbers, it was about survival. Only recently (30000 years ago) we started to care about numbers, but all of us had hard time remembering them, that's why we came up with idea of writing them down so that we don't have to remember them. Maybe because of the same reason we started generalizing things, just bc we had hard time working with those numbers. Also don't forget that math is like 3000 years of history and there were many people spending their lifetime on it, and came up with brilliant but yet difficult things to understand. So yeah, math is hard. One thing I read about 0 in a calculus book (Cambridge university was publisher I guess) that 0 comes from time when people used to calculate numbers with piles of round stones on sand (those stones have specific name which translated to Latin is calculus, but it's a hypothesis) so when the pile was removed, there was nothing left but a round mark on sand which is out 0 (it's also a hypothesis). PS: my English is terrible, also I haven't done research on what's hypothesis, theory, theorem etc... One more thing)))) I bought Calculus by Michael Spivak)))))) will be working on it during summer))
    9
  6579. Lots of love from India sir ❤❤❤ Pls bring a university level mathematics course A small request from your student❤❤❤❤
    9
  6580. I'm just self studying math so I can self study physics too. I'm not a genius. I just saw the beauty of math and physics too late in my adult life. Just trying to reteach calculus 2 material to myself right now. Just love this stuff and I majored in English in college lol
    9
  6581. Thank you! As someone who’s had an Achilles heel for mathematics, these videos truly help me out. You’re a godsend, sir! 😊
    9
  6582. only mildly interested in calculus, etc. no application in the kind of work i do, but i do love the passion you have for math- only person i ever saw who collects these books with such enthusiasm, that's why i follow your channel!
    9
  6583. I am still young myself, but my advice would be: Think of what you want in life, it does not matter what it is, but just think. Even if your answer is to not set a goal right now that would be sufficient, it is just important that you thought it well out in some sense. If you want to learn some sciences, especially math and physics, then try to do your best. You should think of your capabilities and not of the others. Comparing is fine to know where you stand, but when it comes to your goal and accomplishments it's just important that you tried to do everything you can, if that's what you want. So in short, think, know what you want and do your best, try to be the best you you can be of yourself. And if you don't want to set a specific goal, if you don't want to push your limits, if you don't want to be the best of yourself, that's fine. Just know what you want, or don't, but keep it in mind and think about it. However don't lose yourself too much in thought and still do something you like to do, or even anything for any reason.
    9
  6584. My favorite will always be Brown and Churchill
    9
  6585. Saving a Brazilian 5 years later... you explain it so nice, that it helped me a lot! Thank you so much!
    9
  6586. While this is a math channel, I come here for general advice as a graduate student in another field. All the tips you give apply to any field in my opinion. You're one of a kind. Nobody else has been through this path and is willing to give their wisdom and lessons.
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  6587. She is one very important mathematician that I don't understand why Stephen Hawking failed to include in his famous book God Created The Integers. In fact, there isnt a female mathematician in that book. I just feel sad about that. :(
    9
  6588. I feel like I have an opportunity to thank you for your channel, you helped me to change my habits and I feel that my life is slowly becoming better, thank you for everything
    9
  6589. I don't think anybody is born successful. One has to follow his Passion and workout.
    9
  6590. As an Internal Medicine resident, this last year has been incredibly tough. Taking care of so many people with COVID-19...the long hours, the endless stretches through weekends and holidays... you burn out, but you have no choice but to push through. I've always loved Math, and videos like this give me hope that when this is all done and I have the mental energy again, I can finally sit down with a book on Abstract Algebra or Analysis or Topology, and achieve that "Mathematical Happiness" XD. Thank you Math Sorcerer, and others like you, that keep my passion for math alive! P.S., love your textbook reviews! :) Merry Christmas!
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  6591. Excellent printing , without error . Errors in mathematical notations are very common even with modern books
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  6592. You're da best sire
    9
  6593. Holy cow. As a college freshman that was placed in Calc 1, a book for calculus that I can just simply read like an interesting novel sounds soooo appealing. Definitely getting this and will supplement it with extra practice problems from my regular textbook.
    9
  6594. These videos are starting to feel targeted man! Surreal.
    9
  6595. Having just done Linear Algebra, I'm probably going to be doing a lot of abstract algebra over the summer because it feels like the natural next step. I'll probably be beginning with Gallian's book and, once I get through that entirely, I'll probably return here to find another book to look at.
    9
  6596. It's not about knowing any particular thing, it's about developing the skills to solve problems.
    9
  6597. Should get a more comfortable chair for these types of videos 😆
    9
  6598. Math Prof: This is not gonna be on the test Translation: You bet your ass it's gonna be on the test
    9
  6599. I wish my professors would tell me what build to go for a carry 😂😂😂 Also if the professors would actually go support once in awhile instead of juggling the whole game, That would be nice too. 😂😂😂
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  6600. Check out Mathematical Methods for physics and engineering by Riley, Hobson and Bence sir!! An amazing book with clearcut explanations.
    9
  6601. GREAT SCOTT, MARTY!!
    9
  6602.  @suspendedsuplexchannel1000  yeah, didn't you know? It was a Mulan type scene. The physics community wasn't willing to learn calculus and physics from a woman, so Isabel Newton had to create herself an alias "Isaac Newton" thought it was common knowledge smh.
    9
  6603. Have you ever had somebody fail a test and still pass with an A? I'm currently a freshman in college and this is my first time taking Pre-Calculus I, and so far the first chapter is taking a toll on me. I've reached out to my professor about how everything feels like a jumble of equations and problems and he just mentioned to keep pushing and it will get easier. This online stuff is not easy, especially when none of my professors teach via zoom.
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  6604. So I'm neither a Math, nor a Logic student , but I find those symbols and formalism kind of aesthetic and meaningful. Where should I start (given my undergraduate engineering studies) if I want to understand and USE all that?
    9
  6605. thought I was the only one lol
    9
  6606. The one and only sorcerer is here 🫡
    9
  6607. Can you do a video on the "common core" era of basic math?
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  6608. Every time I watch one of your videos I always say out loud “I hope YouTube is not gypping my guy The Math Sorcerer out on his RPM.” You never see math channels talk about those metrics, but you guys really do an incredible service to the world. I think this every single day because we really need all of you to help us grow as individuals.
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  6609. Thank you so much for these!! I had been serious in Math for this year. Im doing great so far.. i do ask someone sometimes and talk about what i do in Math too😇👍 God Bless sir😇👍
    9
  6610. I will try to do the best I can.
    9
  6611. I have been feeling overwhelmed since I’m almost done, but I sure needed this reminder. Thank you! 💗
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  6612. Dont's stop doing videos like this man!
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  6613. omg are you serious ? why there aren’t many views video is really good and short, thank u i really enjoyed it!
    9
  6614. Very helpful.
    9
  6615. You should definitely consider making podcasts. I really enjoy the advice you give and could definitely listen to this type of stuff for hours.
    9
  6616. Him: what do you want to eat. Her: anything. Him: let's go to Don Julio's Her: in what world did you think anything meant Mexican, again! Him: the same one that lets [sqrt(x-1)]/[sqrt(x-1)]=1 Her: whatever pick something else Him: that's what math said
    9
  6617. The partial fraction decomposition technique is pretty cool actually! It's essentially Heaviside's cover up method. You set up the equation as per usual, A, B, and P in this case. You multiply out all the denominators; on the left only the numerator remains. Then notice; you multiplied out (x+1) from A / (x+1). Now it's next to B and P. By setting x = -1, the B and P terms vanish since (x+1) = (-1+1) = 0. Now just do some basic arithmetic to figure out what A is. Similarly, calculate B by setting x = -2. From your equation you have after multiplying out the denominators, x = A(...)(...) + B(...)(...) + P(...)(...), just throw the terms involving A and B to the left; substitute A and B for the values you calculated and multiply out the associated parentheses (this is how he gets the cube terms). You know P is going to be a polynomial of order 1, so assume (x+1) and (x+2) are factors in the factorisation of the cubic expression in the numerator. Come up with a third root, cancel out, and you're done!
    9
  6618. I like that your advanced calculus professor couldn't help you with partial differential equations. Definitely true that no one knows everything.
    9
  6619. he was one of the finest mathematician of all over the world and one of the self taught mathematician
    9
  6620. SUS
    9
  6621. Passion in physics & will be a great scientist god willing ♥️ Love you man ♥️
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  6622. These are really fun to watch, it’s always great to see another person’s approach to a problem! Nice work!
    9
  6623. I would love to have a collection like you in the future! Keep up on making video. I love them!! ✨
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  6624. If physics is king then maths is queen👌👌👇
    9
  6625. Props for the added intro.
    9
  6626. it's kinda bizarre watching this historical document showing people learning in a group setting during the "normal" times.
    9
  6627. I think the best thing about finding your "gift" or what you're particular good at is it allows you to accept the weaker aspects of your self
    9
  6628. The hardest classes that I have took are hands down Magneto Fluid Dynamics and Solid Mechanics. I seriously hate applied Mathematics (espacially the subjects related to physics). Apart from being challenging, the amount of approximations and handwavy logic was deriving me crazy.
    9
  6629. I think the advice you gave was pretty good. One topic I would add to this discussion is that the Medical School admissions process is very competitive. When attending community college, prioritizing getting the best grades possible and developing strong study skills should be the priority. The average cumulative GPA for a student that gets accepted into medical school is about 3.75. The MCAT is a big hurdle for many students, it is arguably the toughest standardized test for college aged students. Many students who finish college with a high GPA don't do well on the exam. The average MCAT score for an accepted medical student is about 512 (83rd percentile). On top of needing to maintain these high academic standards, premeds are encouraged (pretty much required) to engage in extracurricular activities that show admissions committees commitment to the field and that reflect their reasons for wanting to become a doctor. Some of these extracurricular activities might be volunteering at a homeless shelter, volunteering at a hospital, working part time in a clinical setting as a scribe or nursing tech, joining a research lab at your undergrad institution, shadowing physicians, etc. Many premed students routinely rack up hundreds, if not thousands of hours in these activities on top of the time they spend studying. Lastly, the process of submitting the application is very involved and EXPENSIVE. You must fill out a primary application that includes your personal statement + ~15 essays. Each school you apply to may send you a secondary application, each with their own essays/questions to fill out. If you were to apply to 25 schools, it would cost approximately 3600 dollars just in application fees, and upwards of 80 essays to write. Preparing for the MCAT alone may cost you multiple thousands of dollars if you are looking to pay for a prep course. Like you mentioned, this process can be challenging and discouraging. The classes can be hard, the path can be intimidating, but also the pressure of needing to maintain a high GPA while seeking out enriching extracurricular activities and setting time aside to study for the MCAT is very stress inducing. These factors coupled with the financial stress of applying requires a lot of grit to power through. I would say that this student should follow the path you outlined (finish highschool/GED --> community college --> transfer to four year university --> apply to medical school) while keeping the above information in mind. This student should also relentlessly research this process on their own time and develop a basic plan and a projected year when they might be ready to apply.
    9
  6630. 25 years ago I decided to drop the math PhD thing, forget about math and do something completely different. (After all, there's so much other interesting stuff out there...) Didn't work. Ideas just kept bubbling up from the dark depths of my brain beyond my control. And I wasn't disciplined enough to not check them out and look things up at night. Meanwhile I've completely rewritten differential geometry according to my taste, I'm 55 now, and it still doesn't stop...
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  6631. I have that book in a Dover paperback reprint! I haven't looked at it in a long time, but I believe he defines an analytic function as a function that can be defined by power series. That's the reason he starts off with them first.
    9
  6632. This is a different and fascinating approach from what I've seen in most American universities, which is calculus with analytical geometry.
    9
  6633. When I was a kid I really struggled on the "5 minute" math quizzes in elementary school, even though it still really basic multiplication tables and division. I just could not for the life of me finish on time, I was getting the answers correct but I just couldn't get them all done. My Mom sat down with me for hours and simply cut the time down by 2 minutes, and as I result I became able to do thing these basic things so much faster. Although I didn't do this later on in higher level math classes, I realized that because I already had a strong foundation and SPEED in these most basic things, every exam became so much easier, because instead of wasting time triple or double checking basic calculations I could instead focus on the methods I used and making sure everything else was correct.
    9
  6634. Amazing, I was waiting for a review on another physics book!!!
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  6635. Hi Math Sorcerer! Great video as always. I am thinking to get the book "Mathematics: Its Content, Methods and Meaning", as I have heard of it from a favorite writer. Are you familiar with it? If you get the chance to do a review of it, that would be great!
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  6636. ​ @tanishqdaiya  +1
    9
  6637. Take notes, take notes on the notes you took, rewrite the notes you took and make them look super nice, then get a blank piece of paper and act like you're teaching your notes to an empty audience. This got me from a 45 my first time taking calc 3 to a 99 in differential equations. I also love how you talked about study groups. Pick up a tutoring gig at your school (even if you aren't 100% confident on your ability) and you'll see the more you teach it the better you get at it yourself. I also love
    9
  6638. Enjoyment is important. You are never too old to enjoy the art.
    9
  6639. He looks like newton
    9
  6640. Learning is not about the destination it's about enjoying the journey
    9
  6641. Hello math sorcerer! Do you ever plan on doing some tutorials on topic: graph theory proofs? have a hard time finding videos that cover these and just wanted to know if you have them in mind. best regards
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  6642. I met some guys once that were working on their PhDs in chemistry at Caltech. I asked them what is was like -- Caltech vs other universities. He said, "Learning at Caltech was like trying to drink from a fire hose."
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  6643. Really helpful professor 👍🏻
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  6644. Here is some advice for someone who wants to become an engineer: Study hard and focus on math and science: Engineering is a field that requires a strong foundation in math and science, so it’s important to do well in these subjects in school. Take advanced courses in calculus, physics, and chemistry if possible. Get hands-on experience: Engineering is a practical field, so it’s important to get hands-on experience through internships, co-op programs, or research projects. This will help you apply what you’ve learned in the classroom to real-world problems. Develop problem-solving skills: Engineers are problem solvers, so it’s important to develop strong problem-solving skills. Practice solving complex problems, work on puzzles and brain teasers, and participate in engineering competitions to hone your skills. Be curious and keep learning: Engineering is a constantly evolving field, so it’s important to stay up to date with the latest developments and technologies. Read industry publications, attend conferences and workshops, and take continuing education courses to keep your knowledge current. Work well in a team: Engineering projects often involve working in teams, so it’s important to be able to work well with others. Develop strong communication and collaboration skills and be open to feedback and constructive criticism.
    9
  6645. The Knuth set is largely irrelevant today in CS academically and applied. I came into the field back in the early 80s and already it was losing practical relevance for teaching much less most areas of practice. It was more a rite of passage than anything else. The SICP, "Structure and Interpretation of Computer Programs" was much much more important.
    9
  6646. Now that's what I say "Honest talk" !!💯
    9
  6647. Been there! Just got a math minor instead - business major worked better for me 👍
    9
  6648. I am still learning the one fact I've had no excuse to not lear. That I am alone. It's been hard when I am needing advice or friendship but liberating when I get time to myself. I know you meant this as "don't think everyone is passing ill judgement on you" which is TRUE, people are not thinking about anyone more than themselves, as we all do as humans. We all are struggling, it's a superpower to see this and help others before we ask, "what about me". Though it's a in us all to find love for ourselves and to not let failure defeat us. Failure is a blessing, in that it's a lesson you NEED to learn and now you have too. It's not dark, it's beautiful one you embrace it.
    9
  6649. Mathematics Its contents, methods and Meaning (Aleksandrov, Kolmogorov, Lavrent'). This is the holy Bible of soviet maths, in 3 volumes.
    9
  6650. Dude, I really appreciate your videos, they are a great contribution to my education. Thank you very much, and please keep going, your work is excellent!!!
    9
  6651. Um... Why did you use integration by parts? Don't you need two functions to be multiplied for that? I don't think dx is a function or maybe I'm dumb.
    9
  6652. I love all the people who rock the specific fields. Engineers/myself would be nothing w/o them. THANK YOU!
    9
  6653. This is a good question. And, now that you mention it, writing a valid mathematical proof is a bit like writing a valid computer program, except that you can't test whether it works by running it.
    9
  6654. Great video prof, I’m in a situation where I need to realize that it’s okay to not be productive. We just had kid me 3 just gotta focus on survival
    9
  6655. "If you get tired, rest, don't quit."
    9
  6656. Very helpful advice. Some school counselors don't provide this advice. People need more exposure before making decisions about majors.
    9
  6657. Follow your Passion, but also be open to finding your Knack. Theoretical Physics is my Passion. The Four Food Groups of Physics are my favorites: Classical Mechanics (chaos), Electromagnetism (RF/microwave Engineering & Plasma Physics), Quantum Mechanics (atomic spectra), and Statistical Mechanics (condensed matter physics). However, my Knack is in the realm of Experimental Physics and Test Engineering. I learned that about 35 years ago. Follow your Passion, but don't be surprised if you come across something that you're better at than what you're passionate about.
    9
  6658. I respect your hardwork sir By the way nice explanation :)
    9
  6659. Things Mathematics professors NEVER says: "It's okay, you can make mistakes as long as you learn from them." 🤣🤣
    9
  6660. Cultivating a growth mindset over fixed one. Form a community of fellow students and even find a mentor. Yoda - "The greatest teacher, failure is." Coffee helps too.
    9
  6661. Good thing my sad English still allowed me to understand what you were saying, this is the first video that appeared when i searched for the explanation and big THANK YOU :)
    9
  6662. Yes sir. I am lock in 🫡
    9
  6663. I read some stuff out of it shame they didn’t use it for my undergrad class a lot of the material is much better explained and the probs are cool too!
    9
  6664. Try the Schaums Books..cheap and comprehensive
    9
  6665. Great advice from many I see. MIne is pretty much the same for any chapter in almost any math course: Your brain synapses lack the memory muscle and like most other subjects, you think you'll memorize it like you did some other class, or with a mnemonic, and many do that I suppose. I couldn't really. I didn't start to sight read that and think that way until I worked a zillion problems. Get intimate with the unit circle, seek out every problem you can find. You need to see through and past the identity and how to use them. You will see them like you should see commutative and associative in the language of life, not just on a math problem where you are told "identify which property of . . . blah blah with your answer" :) good luck!
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  6666. Love your videos Sorcerer .. but I totally disagree that Technical analysis specially the one on that book should ever make you money on the stock market. And by that I mean, Yes anyone trading Must know Technical analysis to understand their Immense Limitations on forecasting! No one ever made money on Technical analysis, on the contrary. Trade based on that book and you will be among the 95%+ of independent traders that Loose Money. And there are many reasons among those: Most of the trading these days is done with Options, and you Are Betting Against the Options Trader. Technical analysis has described on that book will make you play into the hands of the Trading floor. Technical analysis is the tools for you to see What the Market is doing Right now, they are Not tools to forecast market moves. Saying that the book shows Exactly what is happens in the market is truly misguiding. A Brief test of Any technical analysis technique displayed on that book systematically Fails on Real Data. If that was not the case almost everyone in the Stock market would make money. The reality is that almost all loose other then those with very very great financial capability that can move the market, aka "Institutional" players ...
    9
  6667. This is awesome!
    9
  6668. I didn’t think I’d sit through this but omg… it helped so much thank you
    9
  6669. Life is like Maths, if it’s too easy then something’s wrong
    9
  6670. May you please make a video on the complete syllabus for a wanna-be mathematician. Like 1. Pre-algebra. 2. Algebra... Until the real analysis?
    9
  6671. Superb video for starters or for those who were out of touch with maths for a long time. I think this video clip is a highly valuable one because, no textbooks seems to focus on the notation much. Thank you for your great explanation.
    9
  6672. In other words use rate my professor *
    9
  6673. Thank you! I really needed this today. I am doing a BS in Electrical Engineering and everyday gets harder and harder. Days off don't exist and I study extremely hard but still get average grades. I think the important thing is to never give up but sometimes it can wear you down. This video picked me back up a bit.
    9
  6674. You always bring something new with each book review. It helps us build a good personal library.
    9
  6675. You don’t have to apologize when you give a whiff. We all 100% would do the same!
    9
  6676. Please @The Math Sorcerer can you do a video on how to understand data structure and alogarithm
    9
  6677. Your channel is best
    9
  6678. Fun fact: in French (and some other languages) the letter w is called "double v" instead of "double u".
    9
  6679. 0:50 Well a couple of my professors HAVE assigned us homeworks without checking in advance how the questions are actually done, occasionally assigning insanely difficult questions by accident, so....
    9
  6680. Wow amazing
    9
  6681. Perfect. Exactly the explanation I was looking for.
    9
  6682. Can you please make a video discussing types of math you will need for different majors? Like, math used for biology, chemistry, ect?
    9
  6683. Hey, did you know that Luis Leithold the guy who wrote the calculus book you reviewed also wrote college algebra and trigonometry/precalculus books. You may want to check them out.
    9
  6684. It’s hard for me to know when to stop and take a break when I can’t solve a particular problem.
    9
  6685. Accomplishments are functions of time. Mathematical achievements are not exceptions. Persistence and tenacity with mathematics yield successes and satisfactions.
    9
  6686. Coursera has a pretty solid course for beginners called "Introduction to Mathematical Thinking" by Stanford. Although I haven't finished it yet, it did help me with the basics of reading proofs, demystifying the succinct (and previously terrifying) symbols and logic structures. https://www.coursera.org/learn/mathematical-thinking
    9
  6687. Dude this is great. Love this vido
    9
  6688. Your videos are neat and your explanation is very helpful! Thank you so much,and Keep it up 👍
    9
  6689. What are the benefits of being an Algebra, Trigonometry and Calculus master?
    9
  6690. I love finding typos in problems. It keeps you on your toes, and it makes me remember the person who the book is human and makes careless mistakes like I do(but not as many)
    9
  6691. Congratulations Sir! Great Channel!
    9
  6692. Laughter is the best medicine after all, but it won’t cure my cold :(.
    9
  6693. This is good. I was looking for a straight forward video on how to write a piecewise function in terms of the unit step function.
    9
  6694. Brilliant sir👍
    9
  6695. I once read in a book.."Maths are the greatest collective intellectual endeavor/achivement of the human race". There's a feeling of satisfaction on solving math problems that no other intellectual activity can fill. There´s a feeling of wonderful joy on looking a notebook fill with numbers, graphs, ecuations and blots.
    9
  6696. Phenomenal video!👏
    9
  6697. I'm really becoming paranoid that you've been spying on me.
    9
  6698. Love your videos and your advice sir Can you make a video on how to make math notes , I am always confused about how much we have to do math problems and how much to study it.
    9
  6699. Thank you for covering this topic. I’m 61 years old, with an AS in Physics, getting ready to relearn everything from the beginning. My hobby is weather forecasting, and to really understand the dynamics of meteorology,?you have to be fluent in differential equations. I stopped at Cal 3. The truth, in my opinion, passing college classes is one thing, but true learning with comprehension and mastery takes place in self study. I never really grasped the concept, “e” and purchased a book on Amazon about e but never touched that book. You magically place a video online regarding that subject and want to thank you. Your philosophy, regarding exercise is of crucial importance and has been a lifetime discipline of mine. The scripture states that your body is a temple to be taken care of. I exercise run/ walk on an assault fitness curved treadmill ( new technology, it’s not motorized) for a hour duration and burn at minimum/maximum 600-900 calories in an hour. I’ve engaged in exercising my entire life and purchased this high tech treadmill 15 months ago, to avoid lunatic drivers and the elements. My hope at this age, simply is, if the correct exercise intensity (domain) is placed into the function your age (range) might exceed the average results in life expectancy, God willing. Thank you for your fantastic, tremendous contribution to the World greatest language and opening everyone heart and mind to it. My apologies for the poor grammar, run on sentences, was never my strength or interest.
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  6700. Lmao I bought this book too last week based on that one guys comment mentioning it!
    9
  6701. i missed the word "trivial" by the prof
    9
  6702. at the beginning of this semester I was so confused , but now I found my Salvador
    9
  6703. currently taking graph theory, thanks for the rec!
    9
  6704. Thank you 🌻
    9
  6705. Thank you for creating such informative and engaging math videos! As someone who is deeply passionate about mathematics, I truly appreciate the effort . I'm the student in under graduate in mathematics and I'm always looking to take my math skills to the next level, and your channel has been an incredible resource for me in my journey. I'm particularly interested in exploring advanced topics in algebra and calculus, and I'm excited to see what you have in store in future videos. Thank you again for all that you do.
    9
  6706.  @lacanian1500  ok I'll try that thank you.
    9
  6707. My approach of self studying Math or any technical subject is 1. Select a good book as per my requirement 2. Go one pass study and understand the theory (skip exercises this time ) 3. If i feel can't understand or interpret book then go to step 1 or Google 4. Once finished reading to my requirement give it a Second pass of the book but this time with exercises 4th step reinforces subject learned and in turn mostly reduces number of revisits to the book
    9
  6708. I learned C from this very book many years ago. C is still the most important language in the world. Most other stuff still runs on top of platforms powered by C.
    9
  6709. this was very helpful btw thatnk you
    9
  6710. I still have to work through the details on a second read, in order to *get it*. I would re-write my lecture notes, and was fairly slow with homework; however, all of the concentration and practice allowed me to complete most exams. My overall retention has held-up pretty well over the years; a lot of stuff comes back pretty quickly when I review something.
    9
  6711. You are cool as one can get.keep it up!
    9
  6712. Thanks that helps a lot
    9
  6713. The context of the course can determine the meaning of symbols. There is a finite number of symbols in math so that they get used again. For example the absolute value notation is used to find that in an algebra class, but it is also used for distance in calculus or order in set theory. Make sure you read your textbook or lesson introduction because that is usually where the definition is explained.
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  6714. Training your brain with solving problems :)
    9
  6715. Math Sorcerer thank you so much for turning me on to Felix Hausdorff. It seems he was a man of many parts--writing plays as well as writing philosophical commentaries on Nietzsche. He met a tragic end when he Hitler took power he remained in Germany despite being Jewish. By the time he tried to emigrate it was too late and he and his entire family ended up committing suicide! A biography about him has come out in Germany last year here's hoping it will be translated into English
    9
  6716. The First Course in Calculus has doubled in size after five editions. The original book shown here is now published as Short Calculus by Springer.
    9
  6717. I always enjoy your book reviews and frequently buy those recommended.
    9
  6718. The longest math video solution I've ever watched! Thank you for helping me do my assignments<3
    9
  6719. Best advice I have for math anxiety is to get involved with strategy/puzzle games (e.g. Sudoku, chess, Go, nonograms, etc.), because that is what a math problem essentially is, a puzzle. Math anxiety tends to dissipate when one realizes that the confusion is part of the fun.
    9
  6720. These two books are excellent and it's really a shame they're not cheaper because they could have been the standard introduction to Calc1, Calc2, Calc3, Linear Algebra, and Differential Equations all in two coherent volumes. I hope Dover Publications republishes these at some point.
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  6721. Theres too many different topics that are completely different form each other in engineering whereas maths the topics are somewhat related...
    9
  6722. thank you wizard man
    9
  6723. why do you collect math books? and is it just you or we have people who have been doing this as well behind our backs?
    9
  6724. You are literally a lifesaver. You're better at explaining the material than most professors! Love your videos!
    9
  6725. Love these types of videos, really meaningful
    9
  6726. Using Scheme was a deliberate choice since it's a very slim dialect of lisp - abstracting away from the unnecessary blot most programming languages have when teaching core concepts. It's unbeatable for tasks that demand minimum notation while preserving maximum precision. Also things like Meta-Programming would be difficult to implement without the functional programming aspects.
    9
  6727. Hi Math Sorcerer. Let me start off by saying I am 62 years old and retired from the work force. I worked in a big NYC law firm as a fiduciary accountant, handled taxes, administration and court accountings when I retired. So I always was involved with numbers and enjoyed working with numbers. My favorite subjects were always math related. Loved high school math. At one time I wanted to get a math degree but back in the 1980s colleges did not offer math degrees for night students. I had to work full time to make ends meet. So got my degree in Finance. But before I leave this world, I want to study math specially algebra, geometry, trigonometry, calculus, statistics, and probability. I did take the necessary 4 years in high school and took statistics and probability in college as a non math major (2 courses of each in college). So why am I telling you this, it is because I love your videos and watch them religiously on a daily basis. I agree with basically everything you have said. I started my collection of math books of which I purchased allot of the books you have suggested in your videos. My goal is as a hobby is to study all these great mathematical topics on a daily basis and master them to the point I can teach them on a high school and college level. In closing thank you for giving me the inspiration and passion to follow my lifetime goal of mastering the greatest subject know to man kind, mathematics! My passion for math is alive and well and thank you for giving me the confidence that I can achieve this goal because I have the number 1 ingredient to be successful in math, and that is passion.
    9
  6728. Man really this is the best mathematician channel ever seen.I am a major in computer science and I wish that this content retains till infinity.I am saying that because we as arabic people could be deprived of such prosperous content,thank you very much.🥰🥰🥰😍
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  6729. I needed this video so bad
    9
  6730. Sorcerer didn't open his book 😢
    9
  6731. Wow I always thought that calculus was pretty much the sole prerequisite for all of further math! This is pretty eye-opening, thanks for the video!
    9
  6732. The "easy" part of Calculus is its underlying Geometric character: one can draw pictures to visualize the concepts and theorems.
    9
  6733. You grow not at the moment you solve the problem, but during the hours you are trying to solve it. It's completely okay to be trying to solve a hard problem for a week sometimes. Upd: and never read the entire solution. Read it until the "ahh, that's the next step I haven't tried", and then try to finish it yourself.
    9
  6734. The best textbook I ever read is Introduction to Linear Algebra with Applications by Steven Roman. Unfortunately, I think it's been out of print for a long time. But it does a great job of helping students make the transition from calculation problems to proofs by having a mixture of both problem types throughout. Roman also motivates the material well by explaining the purpose of each section and how fits with its predecessors. There are selected answers, but no solutions. I do wish Roman had included complex numbers. But that's my only quibble with the book.
    9
  6735. I am not good at limits & continuity problems. Thanks for explaining & solving the problem
    9
  6736. Hey man, it's good that you're posting more frequently but I suggest spacing your uploads more. Instead of a few times per day make it once a day or something similar so you won't run out of ideas quickly and get more views on each video. Best of luck!
    9
  6737. I used Thomas Calculus by Hass, Heil & Weir in highschool ( for Single Varible Calculus ) and quite enjoyed it. But the problems seemed to be a bit too easy to allow for any sort of intellectual gratification after completing them. I have been using Calculus : Early Transcendentals by Anton, Bivens & Davis for the last three months and I have been nothing but impressed. The problems are better sorted & tougher, and the explanations are just as good if not better.
    9
  6738. You're so good at explaining and making it look easy Thank you!!!!
    9
  6739. I got this!
    9
  6740. Great advice, especially this one: "The most important math you can do is the math you want to do". I understand that this video talks about basic math but I'd like to share a story. I was/am fascinated by shapes, curves and surfaces, "rotating objects" and wanted to understand them rigorously. The materials and the books I referred used the language of Lie groups, smooth manifolds and related topics. I'm not a math student, I don't have a math degree, my day job isn't related to geometry but I study mathematics for pure fun. Having fun with math and putting in the hours is my motivation. Also, a few years from now, I want to explain shapes and geometry to my daughter (she's just 1.5 years old now). I realized that my analysis and topology background were relatively okay, but my abstract algebra was next to horrible. I picked up Gallian and Fraleigh and attempted a lot of problems in group theory. Fast forward to now, I am studying matrix groups and basic Lie theory (books- Matrix groups for undergraduates and Naive Lie Theory). I started this journey a week ago and it has been a joyride so far. Thanks a lot for this amazing video.
    9
  6741. Wow i’ll look into this one for winter thx
    9
  6742. Studying discrete math at midnight and this shows in my feed! Love the math motivationals! I have actually begun to consider double majoring in math and your videos keep me inspired and smooth whatever bumps are along the road!
    9
  6743. "You're responsible for your own success" This is your advice that has been stucked with me for quite some time now and it's really helpful.
    9
  6744. Proofs are often hard to follow and understand, and, of course, difficult to write yourself. But definitely rewarding when you "get it." So satisfying. A+ video sorcerer.
    9
  6745. Vector Calculus, Linear Algebra and Differential Forms: A Unified Approach Can you review this book?
    9
  6746. That outfit is awesome! Also, an extremely understandable explanation of infinite series ratio test. I love the energy!!
    9
  6747. I remember learning algebra and trig^^ a really good time, I learned so much and it finally got things going for me in math^^
    9
  6748. This resonates. Engineering has a great return on investment with a mediocre return on sufferings.
    9
  6749. you opened a light on the topic of quality old math books. i'm hooked on your content!
    9
  6750. Much love from México, Hechicero🙂🤜🏽🤛🏻
    9
  6751. With all due respect, you're out of your element when you start to critique financial books. I wouldn't a touch a book that will only guarantee things will work "some of the time" ... like a clock that's right twice a day. Ironically, its a firm understanding of mathematics and the stochastic nature of stocks, and subsequent derivatives, that will show the way to capital efficiency in pursuit of profit.
    9
  6752. Yeah If you are 18 years old and started solving these books then I am sure that u can definitely teach ur children a good maths
    9
  6753. Quick and straight forward, nice. Subscribed!
    9
  6754. Good advice Sir, socialising with other people in my Math class made me much better at Math, and drastically improved my grades.Some people give you motivation and help, and then you give some people motivation and help. By the way sir, many people commenting are bots who want to scam you.
    9
  6755. Memorize it. Internalize it. Have fun Walking around with it in your head. That’s when certain patterns, profound observations, connected phenomenon or epiphanies spontaneously hit you. Like any other discipline. Music. Writing. Learning lines in Theater. Math. Once it’s in your head you can flip it around and deeply understand it.
    9
  6756.  @TheMathSorcerer  no sir! I am doing math, and taking it slow with math. I absolutely love Math and I aspire to become a Math Professor!
    9
  6757. This is literally the Amazon cloud course on coursera. This made me laugh.
    9
  6758. I am currently reading Thomas Calculus I am finding it very interesting as calculus is my favourite, but in that book after every 3-4 pages there is 2-3 page of exercise and I am like "New problem set already?" but your suggestions will really help to actually do all that stuff because what I will achieve by learning calculus if I am not able to apply it! My question is: 'Should I solve all of them?'
    9
  6759. Could there be a slight inaccuracy in picking the value for delta? If delta=min{1,epsilon/5}, and assuming the case where 1 is the smaller of the two, then delta=1. But then |x+2|<=5 (weak inequality, instead of strong), and we're missing a strong inequality in the chain of transitivity, which leads to the final step of the proof being: |x^2-4|=|x-2||x+2|<=delta*5<=epsilon/5*5=epsilon But then we can deduce, at most, that |x^2-4|<=epsilon, while we require < instead of <=. If my observation is correct, then we should pick something smaller than one, such as delta=min{0.9,epsilon/5} and that would work. Am I missing something, or is there a tiny gap in the proof as it stands?
    9
  6760. I will say that that is true most of the time but it is also important to recognize that sometimes the teacher is at fault, last semester I took a class and the teacher did actually do a bad job, the exams covered things that we wouldn’t cover till weeks after them, they made little to no effort to properly answer people’s questions for “lack of time”, among other things.
    9
  6761. I have a few of these Soviet Era Physics books translated to English and Portuguese and they are my most treasured books. I love everything about them. The quality, the diagrams, fonts, looks and smell! Yes smell,😊!
    9
  6762. Hi man, I love your content, just a video idea: can you please make some video talking about the differences between the algebras? What is pre-algebra?, intermediate algebra?, collage algebra?, abstract algebra?, universal algebra?, what is all that stuff? Love your vids!, keep making content and I still sharing and watching :) And sorry for my awful english: ¡saludos desde México!
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  6763. You're developing a beard, which means you're becoming a math sorcerer even more. Are you planning to buy robes? It'd be cool.
    9
  6764. great as always instant anxiety with the "hey did you finish your homework?" like yeah and it's only available through a subscription model to my onlyfans account
    9
  6765. remember guys there’s always an online pdf version somewhere
    9
  6766. love this video , this is( approx) the same maths life i have thought to live . one of your admirer. thanks for the video.
    9
  6767. Author's surname was the first that caught my attention. It belongs to my ancient clan Mag Oireachtaigh that has variations of surnames. Garrity is an anglicised spelling.
    9
  6768. How do you guys read thick books ?
    9
  6769. Currently in Trig and wanted more practice with identities. Purchased this book shortly after watching your video!
    9
  6770. Why wouldn’t you want to be a mathematics professor or teacher? It’s not a worthless job. It’s the most rewarding job in the world.
    9
  6771. Somethings i noticed that not many people talk about self study is the importance of keeping a routine and being constant,not to mention the importance of always making sure to know FULLY well the basics before you can move on to the next chapter
    9
  6772. Thanks for the post. I'm currently completing a Python-esque coding program through Carnegie Mellon; specifically geared for aspiring CS teachers. I'll make sure to check this book out too!
    9
  6773. gandalf helped me once more !
    9
  6774. Thats pretty cool
    9
  6775. Lots of love from India 🤍✨
    9
  6776. Me too! Not only do I regret not having studied enough but I did not study deep enough. I just followed lectures and did the assignment, but I had not applied the ideas or toyed with them. Now looking back. I should have thought deeper into the math theorems and pondered about their implications, and appreciated more about them.
    9
  6777. Needed this video, thanks
    9
  6778. I actually bought a slide rule as referenced in that test. I have idea how to use it unfortunately. K&E N4081-3S, LOG LOG DUPLEX DECITRIG. Its is in fantastic condition in a leather case. It has a copyright date of 47' on the ruler and the little reference manual has dates of 44', 49. I will send you the slide rule if you legit take the test using only the slide rule! :)
    9
  6779. I would like to suggest a purple velvet jacket with a white shirt, white bow tie, and white gloves for the aesthetics :]
    9
  6780.  @ronni81231  All at the same time? Damn. The cello seems interesting. Because of covid though you pretty much have all the time in the world.
    8
  6781. What a title lmao
    8
  6782. A standard calculus book used by octogenarian mathematicians including myself is "Calculus " by C A Stewart.Regards Dr Sabapathy.
    8
  6783. see the famous essay "Notation as a Tool for Thought" by Iverson. the first few paragraphs contain a summary of thoughts of famous thinkers about notation. notation is trivial because we have decent notation that we're used to, but that notation exists probably because without it, expressing certain ideas was nontrivial. feynman diagrams, vectors, tensors help us package ideas to be more digestible, removing noise. even basic things like the order of operations didn't always exist, isn't strictly necessary, and has a surprisingly powerful simplifying effect on how math is written, allowing us to implicitly chunk parts of equations together. good notation can better highlight patterns and relationships. powerful notation can alter how we consider ideas and problems and even suggest new understandings. derivatives are sometimes written as an apostrophe, like f'. roman numerals are sometimes used at higher derivatives, which is a change in notation. that notation then might make you wonder, if integers can be used go indicate derivatives, what about rational numbers? what would fractional derivatives mean? what about derivatives with a complex degree? note that there's a parallel to exponents, and that we indeed found a use for exponents, even imaginary exponents. https://en.m.wikipedia.org/wiki/Fractional_calculus
    8
  6784. I'm taking real analysis in my second year of math major and I'm using Apostol and Rudin book of real analysis. Rudin is great for exercises.
    8
  6785. I'm "studying" English, and for immersion I sometimes watch your videos lol
    8
  6786. Thank you for these videos. they have helped make up for lazy professors during this time.
    8
  6787. This is fantastic I especially like the rudin book
    8
  6788. Same hahahh
    8
  6789. Me too kid me too
    8
  6790. Differential equations are more physics than math, so yes you can do it not doing calc 3, that its quite flexible course and can change the issues inside
    8
  6791. This make so much sense and get what your saying so I need to do much better than before .
    8
  6792. Gracias!!! apenas entiendo ingles... pero las matemáticas son el idioma universal y por eso te entendí todo!!! Me suscribo!
    8
  6793. I bought this on ebay a few weeks ago just to add to my collection.
    8
  6794. The programming books are like this... you can just read them, cover to cover, if you do the excercises.
    8
  6795. These intro videos are so great, thanks a lot
    8
  6796. I actually think that your answering of the few questions that you can is really valuable. Many times I've gotten thought provoking points in your answers or they allay some deep down concern I've had, but was unable to articulate until I heard the question and your answers. Sometimes the lightbulb moment comes from the comments section. Anyway, great placement of the dumbells close to the mathematics textbooks. My takeaway? A good daily workout schedule should include math 'exercises'👍
    8
  6797. My hero! I now finally understand how to use this lol, I've been a bit confused, but now I can walk with confidence. Thanks!
    8
  6798. This a super solid explanation. Thank you
    8
  6799. You need to bring more Physics books <3
    8
  6800. I started with maths in my last year of high school when I was no understand what means the tangent at a point. Take the Analytic geometry of Shaum's and I started self study all the book, meditate every definition, conclusion, and think of many ways to solve a same problem. Then take a course of combinatorics and this help me to decided study maths in university. Pd: Please dont kill me for my grammar, i'm learning english.
    8
  6801. Yeah! I really appreciate that! Super informative, I'm really excited to eventually start doing real proofs, these bits of notation are so appealing to the eye now that they're not foreign concepts! I'm just about done with Calc 2 and I've gone through all of Calc thus far 100% on the internet, so I was never really given a lesson on HOW to read some of the magical math runes they use in my textbook. I just saw them and was like " ahhhh I'll look up a Kahn academy, black pen red pen, PatrickJMT, or maybe an Organic Chemistry video to figure this one out." Now I think I can just dig into the text book for reals and learn the stuff without too much contamination by the simplifications usually present on a youtube video. Because I'd rather make it simple myself, you know? It's not fun if it's digested for you ahead of time. Well salutations, I am probably gonna binge this series as soon as I finish up my final. The goal is to become fully engrossed in math, and now that I know I won't run out of it... well it looks like I don't have to procrastinate to keep math in my life! I'm gonna be so ready for Uni come August! I'm so friggin hyped to have a REAL instructor! I picked a Calc 3 class at like 7:30 AM on M,W,Th right next to my dorm, and it's just gonna be the best! Ahhh!!! Please COVID-19, don't mess with my studies!
    8
  6802. I found maths in order to gain deeper understanding of physics
    8
  6803. i feel the guy's pain. i used to dread math and frankly, the people who have good memory do really well early on in life. however, they usually are the ones who don't give a rat's ass about how it's used practically, they just care about the SCORE. from my personal experience, I can say that financially and career-wise I'm doing better than all the peers that I know when I was in school who performed better than me in mathematics. most of them were not very ambitious. i have come to realize that learning mathematics is not just about the grade, but it's about thinking; math teaches you how to think and it requires an enormous about of sacrifice to achieve mastery. i hated mathematics when I was younger because I always found better things to do with my time, but as I grow in my career and gain more nad more skills in programming I realize that everything boils down to problem-solving. it is the most efficient way to add value to a company; to listen and recognize a problem, solve the problem, and to even create your own solutions. i owe a tremendous amount of gratitude towards mathematics because I'm only beginning to understand the value of problem-solving. a lot of the things you learn in school only scratches the surface, but once you start working long enough and you're pensive about it, most people will agree that patterns start to emerge and you can use the training from mathematics to help you overcome problems, invent your own solutions, and ultimately add tremendous value to the world. math is truly beautiful, but the process it takes to learn how to think is not a pleasant one. it's usually arduous and requires a lot of struggling and persistence. in today's age with so much distraction it's even harder. it always pays off in the long because problem-solving is a sarce quality that all businesses need. if you're struggling with grades, don't let it deter you. math can also teach you persistence and grit, I find that this is transferrable to sports like grappling, climbing, and long distance running. it will also make you very successful in your career as well. don't give up. remember to study hard and rest sufficiently before tackling it again.
    8
  6804. I was a math major from 1965-1969 and pretty well took all the same courses in Canada.
    8
  6805. What do you think is a good real analysis book with great theory and tough problems? I really don't enjoy solving repetitive type problems!
    8
  6806. Love the unique content - Your channel provides real value
    8
  6807. This was such a delicate solution mate, thanks for the video!
    8
  6808. Great news! I just passed my intermediate algebra class which gets me into my major classes. It only took two failures.
    8
  6809. Good! They all are good at math. :-)
    8
  6810. I see a lot of people making fun of Indian Edition books. Lol. I am from India. Is the difference really that much?
    8
  6811. I'm 39, I have Bachelor degree in Economics and in a few days I'm starting with postgraduate studies in Applied Math in a field of Mathematical Modeling in Economy. It's never too late.
    8
  6812. What?? D.E is much more hard than Calc 2, for me, in D.E, is very hard to understand the demonstrations or proof of the theorems.
    8
  6813. This was a couple decades ago almost, but I thought I was surrounded by really bright people in 4th year honor's psychology undergrad classes, at a fairly high ranked school in Canada. I can't even imagine the level of intelligence in a mathematics graduate program at a great school.
    8
  6814. Im doing an Independent Study in Modern Physics with my university next semester, so i decided to purchase Schaums as a companion text. Thabks for all the vids wizard!!
    8
  6815. Nice explanation. But what caught my eye more was the way you used your pen. Very unique way of holding it indeed !!!
    8
  6816. What is surprising is that sometimes long after I have studied a topic and think I have forgotten it, I will encounter a problem and realize I know how to solve it using some concept I learned months or years ago. I thought I would never have a practical use for Gaussian Elimination to solve a system of linear equations, but one time I wanted to find the equation for a parabolic trajectory given 3 points on the curve. I realized I could substitute the 3 points as coefficients in 3 equations and solve for the unknowns using Gaussian Elimination. I work with 3d computer graphics so Trigonometry and Linear Algebra are always useful.
    8
  6817. he knows too well your No.1 enemy in math is falling asleep and the No. 2 is about understanding.
    8
  6818. Would be very interesting to hear your thoughts about Werner Greub's "Linear Algebra" I like it a lot and I absolutely LOVE his "Multilinear Algebra", an essential read if you are to delve into Differentiable Manifolds IMHO. No book in my collection is so heavily underscored as this.
    8
  6819. Math is good but u should do applied math like engineering or computer science.
    8
  6820. I can already for-see how much I'll be using your videos for my online calculus class, I really like the way you explain things. Many thanks from California!!
    8
  6821. Great explanation on limit and derivatives at the start of the video.
    8
  6822. The day I stop longing for learning I'll die for sure. I'm that thing that people call Jack of all trades and I'm ok with that. I also say the same thing to people, time will pass wether you learn something or not.
    8
  6823. You don't know it, but you're like a close friend to me. 🫶🏻
    8
  6824. I have all the 3 books of Baldor. Almost every Latin American high school student knows this book. Its not uncommon that a father, a son and now the granchild learns math with this books.
    8
  6825. the only useful video on this topic on youtube
    8
  6826. Goggins of mathematics
    8
  6827. I think it is really important to really cover the topics you are super interested in! You'll get more enjoyment that way, but of course, you might want to touch up on other branches of math just so you do know what is out there and you're not always focused on one thing. Once you get to university, you're gonna have to take many different maths at the same time anyways, so might as well at least know the foundations! Knowing the foundations will help you a ton. You don't have to cover everything super deeply, but I would recommend touching on the basics of a lot of different things and then focus on really learning all the things you just love to learn about!
    8
  6828. I think a genius is the man who devises new patterns of pondering, so you probably can't think like a genius, but you can definitely think like a professional in specific field.
    8
  6829. Awesome explanation Sorcerer, I'm taking Calculus at Engineering School as a freshman student and I love this briefs explanations of yours :)
    8
  6830. Could you make some recommendations/videos on differential geometry?
    8
  6831. Mir (Мир in Russian) had translated many mathematical books into Arabic as well.
    8
  6832. Academics are giving me some weird existential crisis. You do your PhD research for years and years whilst you dislike it, and for what? You end up with a paper no one could care less about, only your ego cares about being able to put some title in front of your name. I wonder how others feel about this
    8
  6833. I have all my books in my room 😄
    8
  6834. There are a lot of good C books for beginners out there. Looks like a thick book (>670 pages) ! The K&R book is a classic, a thinner reference book. The preferred first computer language these days seems to be Python; you can start slow but you can do more with it out of the box.
    8
  6835. Is math a concept? If so how do I learn that instead of just remembering math problems?
    8
  6836. Dear sir you solve this equation very smoothly anyone can understand. Love you sir 💗
    8
  6837. Same here!!!! Last night I was working out just a quadratic equation book and I had problems. The author position the problems in ways I never seen. I got so upset. Lol. I am going to take a stab at it while I am just now learning calculus. So basically I am studying algebra, trig and calculus. I think the best way is to prove the answer is right after we are done. Although frustrating.
    8
  6838. I am using this book to teach myself calculus and I have to say , it’s a very good book and I agree with you. Some of the problems can be difficult , but with Alittle patience and algebra as most mathematicians put it you can figure them out. I’m glad I found your channel ! I have a lot of options now to grab more knowledge and awesome math books !
    8
  6839. Warning: Long comment, I am currently a third year undergrad student in Amsterdam and I’ll go by what was taught to me per semester. Semester 1: Introduction to mathematics: In this course we covered the basics such as: formal proof methods, equivalence relations, elementary number theory, cardinalities of sets, construction of number systems etc. Basically the basics to follow any other math course. Real analysis: In this course we covered sequences, epsilon delta proofs, bolzano weierstrass, sub sequences, continuity, differentiability, mean value theorem, intermediate value theorem, integrability of functions, equivalence of riemann summs compared to Darboux summs etc. Linear algebra: matrices and properties, determinants, vectorspaces, linear maps, isomorphism theorems, quotient spaces, dual spaces, eigenvalues and eigenvector, jordan normal form and generalized eigenvectors. Stochastics 1: We started off with a “rigorous” treatment of probability spaces, sigma algebras etc. Covered random variables, discrete and continuous, as well as multivariate discreet and continuous random variables, moments and moment generating function and some limit theorems such as law of large numbers, weak law of large numbers. Then a computational math course, here we learned programming in python, the basics. Second semester: Multivariable analysis: We covered some point set topology in this course, partial derivatives, total derivatives and went up until Taylor polynomials of functions from R^n to R^m, inverse function theorem, implicit function theorem and lagrange multipliers. Group theory: Definition examples of groups, subgroups, cyclic groups, cosets, normal subgroups, quotient groups, isomorphism theorems, group actions, burnside lemma, automorphisms and semidirect products, classification of groups, Jordan holder and Sylow theorems. Introduction to graph theory: Just the basics, definition of graphs, Euler and hamiltonian graphs, some algorithms, colourability max/min flow algorithms etc. Introduction to logic: Just propositional logic and up until completeness and soundness with a small introduction to predicate logic. Numerical mathematics: Here we learned some algorithms to find fixpoints of functions linear maps, singular value docomposition, polar value decomposition and dyadic number systems. And this was just the first year, it was hard but fun!
    8
  6840. To be honest, loving your reviews alot I wish there was a Mathematics Book Subscription Service where they deliver Math books bi-monthly I’d love to read different Math books consistently 😢
    8
  6841. Right after you quoted Seneca on fleeting time, an ad appeared. The irony is real.
    8
  6842. Find new hobbies that breaks up monotony in your life.
    8
  6843. Your perspective as someone who has helped so many people, is priceless.
    8
  6844. The Math Sorcerer thank you so much , that clears it up 😁
    8
  6845. why cant my textbook explain it like this
    8
  6846. What a coincidence! A few weeks ago I found this book in my grandma's house (a lot of my dad's books are still there, we haven't brought them home). I couldn't believe my eyes: it was actually the ahlfors book! Now I won't have to struggle with buying it (but will probably struggle with the book, lol). Such a great find (I still have a long way to go until I'm able to understand it, but still, I think having it is pretty rad!)
    8
  6847. You can also just take the natural log of both sides and solve for x: x = ln(3) / ln(36). This is equal to approximately 0.3066.
    8
  6848. Hey Math Sorcerer, I recently made the recommendation of reviewing AOPS Calculus, now I have found another book I would be ecstatic if you reviewed. It is Real Analysis by Titu Andreescu, a Professor who has made several good books for competition prep and was even the Leader of the US IMO Team.
    8
  6849. I have been searching for the exact same topic and this video popped up in my notifications I want to prepare to advanced algebra & geometry before college I have around 3 months thanks for your amazing content :))
    8
  6850. Nice explanation Love from India ❤️🇮🇳🇮🇳
    8
  6851. I usually don't watch any maths class video for so long. But this video hooked me up. Sir, i enjoyed your teaching.
    8
  6852. This was my undergraduate quantum textbook at University of Pennsylvania in the late 80s!
    8
  6853. My summer vacation with ny family in Italy is going on now. My wife doesn't understand why I prioritize studying in the mornings while here. I understand this video very much. I'm obsessed!!!!!
    8
  6854. Amazing advice from "The Legend" himself! Thanks Math Sorcerer!
    8
  6855. Not bad, but Mood, Graybill and Boes « Introduction to the theory of statistics » is better. The only bad thing about this book is the lack of insights about convergence in law, in probability and almost sure. Casella and Berger « Statistical inference » is better for that.
    8
  6856. Set theory. After all, every thing else in math follows from set theory.
    8
  6857. Loved the podcast full of great advice from an amazing all around stand up guy! ❤
    8
  6858. Good advice, that thing about not setting unrealistic schedules is so true. Set a nice minimum that you can achieve consistently easily, and then when you have the energy, do more.
    8
  6859. Super duper🤜🤜🤜🤜
    8
  6860. Springer is currently running a 50% off sale including Lang Algebra code B2S22 (until August 29th) also eBooks
    8
  6861. Thank you so much, your videos have been helping me so much, and your Udemy courses on Calculus have been so helpful, worth every penny! I'm so happy you also make videos on Linear Algebra! Keep up the awesome work!!
    8
  6862. The Math Sorcerer could you give me advice. I am a high school student and I study math but I have feeling that I want to understand something but I don't know what. I can solve many high school math problems even though I am struggling with basic things like why when multiplying fractions we multiply numerators and denominators, intuitively I know that it is right but I kind of doubt it.
    8
  6863. the smell of a book, whether with or without dust, is always great. I'm currently reading a book on vector calculus to apply to fluid dynamics, Spiegel's Vector Analysis, and I'm completely in love with it.
    8
  6864. I did not know you were programmer but now it all makes sense 😂
    8
  6865. I think I'm watching jeff bezos
    8
  6866. Most people don't flunk Calculus because of Calculus but because they didn't LEARN ALGEBRA.
    8
  6867. No. Even people who had Trig struggle. Especially with no Algebra 2? Bro, no.
    8
  6868. I keep failing at everything I do, and even though I enjoy studying math, physics, and chemistry I am still terrible at them, I have to spend more time studying than others do. Will I never escape the vicious cycle of failure, even though I sacrificed many things and really do my best? I asked this kind of question myself but about another topic 3-4 years ago. My answer was that it doesn't matter whether or not I succeed at pursuing my dreams, they are all that matter to me, so even if I fail in the end, I will have known in the end that I did my best following the most meaningful things to me. But still, unwillingly that question pops up in my mind sometimes. It is not that I am expecting someone to say " Oh, you will succeed", because it is not going to change much in the end, but I wanted to share that with you, because I like watching your videos.
    8
  6869. Any reason the Discrete Math book by Epp is no longer in your video? I bought the Epp book based on your recommendation. Thanks!
    8
  6870. Be wary. These books aren’t the best way to learn computer science. They are quite difficult to get through.
    8
  6871. This man is so interesting and diverse
    8
  6872. Wolfram Alpha, yeah!
    8
  6873. Your story is inspiring to me. I dropped out and got a GED after failing out of my running start program. After I got my GED, I took a web development job which I hated. Now I'm 25 and I'm back in school working on a bachelors in computer science, though I'm gravitating towards math courses since they're where I do best.
    8
  6874.  @TheMathSorcerer  NAILED IT!
    8
  6875. Abstract Algebra is a killer, man. I breezed through my Calcs (not without lots of hours per week, though!) and really any computational class came easy to me. I don't think I've gotten anything better than a C in the proof classes I've taken. My brain isn't as talented for mathematical proofs as it is for some people. Taking Abstract this semester for the second time; some of the concepts are familiar from last semester but it's still a little difficult getting a full grasp on the big proofs.
    8
  6876. He has talent. Watching from🇧🇷
    8
  6877. Whenever I find some math discipline challenging, I make it a goal to understand it.
    8
  6878. I can say this for sure... My life has been full of failure! Failure in every way possible So, in order: 1. NEVER GIVE UP! 2. If you believe in something, you must at very 1st believe in your self. 3. Physical fitness is the number one thing. In fact, look at the drop down that occurs whenever you are in the airplane. Make sure that oxygen mask is applied to yourself before you help others. 4. Set priorities for yourself. Priorities you set ALWAYS trump everything else. 5. When you find yourself in an impossible situation, believe that time is on your side. It always is. 6. Always keep moving. Movement is how one gets past ALL adversities. 7. NEVER GIVE UP! OK .. pretty banal stuff, but this is how I have managed to keep up with this thing we all call life, and living
    8
  6879. I needed to hear this. Thank you 🙏
    8
  6880. Thanks for this, I am a 33 years old math student... Learning online sucks
    8
  6881. I really appreciate all the work you have done! I also have one question. For someone who have taken up to calc 3 (using stewart's books) but have some (not a lot) of experience with proof writing (in theoretical cs courses, and also i have taken a course on proof writing), do you recommend spivak's calculus, abbott's understanding analysis, or tao's analysis 1 to self study rigorous calculus/real analysis?
    8
  6882. Yes ...I am obsessed with mathematics now. but I try to love mathematics and learn it properly.
    8
  6883. Wow you help me a lot with my homework Thank you :))
    8
  6884. You'll get there
    8
  6885. Wow, you were a CS major? I never would have thought! I am also a CS major, but i'm not as passionate for math as you are. To be honest, you seemed to me like the type of person who would've decided to be a math major from the first day of college haha. It would be cool to see a video on your academic background, you're a really interesting person. Keep up the good work and happy new year!
    8
  6886. Wow this book has so many topics that it made me feel like a pseudo-mathematician 😊 I am excited to do real analysis in the future, and I will definitely get this book.
    8
  6887. How much math do we need to kill the corona virus?
    8
  6888. Most significant video for maths student... Thanks sir🙏❤️
    8
  6889. These books are amazing for people like me, who forget everything almost as soon as it's read, you can flip back if you can't answer a problem, reread, and everything you need for any given problem is explained in very sufficient detail. This author illustrates the night & day difference between someone who knows how to write and someone who doesn't.
    8
  6890. I really appreciate this kind of video 👍
    8
  6891. Invincible!!!
    8
  6892. Calculus by Piskunov.
    8
  6893. Dear Math Sorcerer, I'm really loving this new focus of your channel. You are 100% correct. 🙂
    8
  6894. "You always want to group your exe's (X's) together" mmmhh.. not something you hear often :)
    8
  6895. I love seeing these videos pop up in my subscription box! :)
    8
  6896. Who knows? He probably used this.....
    8
  6897. The first time I saw this video I was DOWN bad. I didn’t believe you. I’ve recently just had a crazy awakening and I’m just doing everything I should have done over all these years and it’s easy. I what made it hard all these years was the lack of self belief.
    8
  6898. Fluxions is calculus pre-dating the modern axiomatic foundation of limits and the continuum.
    8
  6899. I have friends who had to drop their other courses for calculus or take only calculus for the next sem after failing it. They had poured their heart and soul into it, in order to pass, and pass they did. Every sinlge piece of advice given in the video is absulotely true. However, its important for people to know how much course load they are able to handle. You don't want to be stressed out about other classes while doing your calculus HW, it really messes with your ability to learn. Thank you for this video, I love your content.
    8
  6900. Hmm.. seems easier to say it’s the set of all points where x is not equal to 2*ln(absolute value (y)). It looks better in latex or on paper!
    8
  6901. Amen! And I liked it when you said ”burrrrrds”. :D
    8
  6902. I have tried self study. I would suggest no music, and write, write, write.
    8
  6903. I find the best time for used books on Amazon is after the Spring Semester when some or returning rented books or re-selling their books. I look for books above acceptable or Good condition. If it is an advanced subject, I will typically purchase new books, unless that ever-so-often-used book comes along. ONE BIG NOTE, I like to buy books that come with solutions manuals.
    8
  6904. Good advice for people who know what they want to and do have an end goal. Not so good for people who just don’t know what they want. For me it helped NOT to focus so much on the eventual result that college will bring me, but setting general personal goals: “I want to be a person that works hard” “I want to be a teammate that others can count on” “I want to be a person that pushes through hard times” If you change your result goals to these kind of growth/personal goals you will: - not feel unmotivated if the endgoal seems unreachable - not stop being a motivated person once you reached your goal - have the ability to update your goals instead of having the same end goal (for sometimes years)
    8
  6905. e is fascinating…
    8
  6906. humility is necessary in mathematics (but not sufficient) only hard work AND curiosity are both necessary AND sufficient....subbed!
    8
  6907. i wake up everyday at 5 in the evening.
    8
  6908. I think math could help you visualize sentences. for example the statement “a square is a rectangle, but a rectangle isn’t necessarily a square.”, you could imagine a subset of a set which is faster than repeating the sentence in your head. There are all sorts of other diagrams, translations, ways to organize information that we could just apply to everyday life and think faster. Edit: another example (inspired by geometry) would be to visualize people’s opinions as points on a line or a sphere
    8
  6909. Thank goodness for simplified and reasonable educational content. No more than it needs to be 👌🏻
    8
  6910. My rule of thumb: Tell nobody about your ambitions or goals, until you have achieved them. Otherwise, if you fail at something, you will dread unwanted questions by your friends or neighbours; you may also face ridicules by jealous people with Crab Bucket syndrome. That goes for interviews as well. Tell nobody about interviews you're having. Tell only when you have won a career. At home, I don't ever tell my family my ambitions. I tell only when I have achieved my goals. When they catch me studying anything and ask me about it, I just say "I am only browsing" or say it is just a puzzle or hobby. Sometimes, I say maths puzzles are better than boring crosswords or Candy Crush. In my small home town, nobody (except few) knows what I am doing privately and quietly. I get no nosey questions and so I have peace. I like it that way.
    8
  6911. I love simplifying trig functions
    8
  6912. Duuuude! I didn't know you needed PENCILs for math! I used my blood to do math, and it was getting inconvenient to cut myself every time I wanted to write something, so thank you for your advice! And PAPER? Who would have thought of PAPER to do math? Dude, you are life-changing!!!
    8
  6913. The problem I find with mathematics is it is hard to learn and understand yourself.. Hard to self learn
    8
  6914. Great video! It reminded me of Professor Tao's post on his stages of math: https://terrytao.wordpress.com/career-advice/theres-more-to-mathematics-than-rigour-and-proofs/
    8
  6915. Your collection is truly amazing. Whoever gets them after you will be one lucky person
    8
  6916. can you please make an interview with a student from Electronic Engineer background
    8
  6917. I started doing maths in middle school. As an electrical engineering student, maths is important. Your video MOTiVATED me to reflect on my maths, understand my maths, and most importantly (in my field), apply my maths. I've realized with each step I take farther into my degree, my maths were taking the backseat. I've now taken a step further; engulfed my head in the rabbit hole of mathematics, with the INTENTION of COMPREHENSION before APPLICATION, expanding my own ability to interpret the sorcery of maths and its stake in physical understanding.
    8
  6918. Wow. I was just looking for a refresher on integrals. What a coincidence. Thank you so much!
    8
  6919. LOVE the reference to Office Space as well as the video!
    8
  6920. Have that book as an electronic pdf
    8
  6921. Hey The Math Sorcerer, i have a question Do you remember most of the math classes you took? If yes, could you make a video on how so?
    8
  6922. Everyday everywhere Math, Electrical Engineering and Electronic Music are food for my Brain 🧠
    8
  6923.  @mohammadreza5038  haha!! I wish I had one but it just never happened. Math was my one and only Achilles heel. (Still is, unfortunately)
    8
  6924. That was so accurate it’s scary
    8
  6925. WHO'S GONNA CARRY THE BOATS
    8
  6926. I learnt one more thing 😃 today "Not to try hard, try different" if you got stuck somewhere !! 📚❤️
    8
  6927. Oh man those MTG cup holders really caught me off guard Magic: The Gathering, I've found, is really appealing to smart people, or what do you think? Amazing content btw, you've never let my love for math die, even though I'm not currently studying or working in such field. But one day, I hope...
    8
  6928. This really works! I got an A in macroeconomics at the graduate level by studying each topic we covered in as many different macroeconomics textbooks as our library had. I hadn't had macro at the undergraduate level. The instructor was so annoyed by that, he wouldn't even talk to me or help me but he was honest and gave me the A that I had earned.
    8
  6929. That looks like an excellent book. I used to struggle to find challenging problems for my high functioning students, so I tended to build the problems myself in order to ensure it would challenge them. I love helping students with rational functions, complex expressions, and overall using graphs to understand solutions. I'm so glad you're providing all these recommendations for good books. Thank you so much for your efforts 😊
    8
  6930. I was taught disk and shell method in calculus I :(
    8
  6931. Randal Carlson lmaooo
    8
  6932. 6:08 Slap that book like Uncle Roger slaps his bags of rice
    8
  6933. I will use your videos to learn math yay
    8
  6934. Just went back to school full time at age 31, it was hard, but so far it's been great! big up swing for me in life, and I'm happier where I am now than I was last year.
    8
  6935. hi i have a test tomorrow i will come back in 10y (28yo) to see if i failed
    8
  6936. When I was in college, my freshman grades were pretty bad. I had a 2.7 GPA my first semester. That was also the year where my notebooks were basically carbon copies of the blackboard. Later on, as I took more interesting/advanced courses, I found that the fewer notes I took, the better I did in those classes because I spent less time trying to copy down what was being written down and more time focusing on the content. Although I only got an A- in one particular course, I felt I learned much more than in basically any other course prior because at the start of the semester, the professor handed out bound copies of his handwritten notes. His lectures then consisted of him going over his notes with us and explaining the content. Everyone was on the same page (figuratively) because we all had the same page (literally). Questions in the course became very useful, asking for clarifications on how we moved from one step to another or where a certain bit of real-world design intuition came from. Indeed, I managed to develop a pretty strong intuition for the function of various communication circuits and design techniques during that class.
    8
  6937. Legend 🧟‍♂️🧜‍♂️
    8
  6938. You should make a list with books on every level and topic with full solutions. I am sure that such a video would do well. Plus you can link them in the description.
    8
  6939. I think elitism is present in any discipline, and it's most noticible in especially difficult or challenging disciplines. Math is no exception. I also think any type of elitism is always unjustified, and any discipline would benefit from less elitism about it, because it's so often used to gatekeep and prevent others from practicing the discipline. I think math is a great example of something beautiful that gets disregarded by newbies because the people entrenched in mathematics don't take enough time to introduce newbies to the coolest parts.
    8
  6940. The best tutorial to understand Archimedean Property Thanks a million
    8
  6941. "It's easy to see" As students are furiously jotting down and at the same time trying to understand why they can't see while hoping by studying their notes back at the dorm room they may encounter an 'ah ha' moment.
    8
  6942. 1.25x FTW
    8
  6943. For most people math is the problem
    8
  6944. When you write the recall statements why do say some integers instead of all integers?
    8
  6945. I hate pure math man it is not easy. Respect to all mathematicians
    8
  6946. I come for the Maths, but I stay for the on the low Mobb Deep references.
    8
  6947. Please review the OpenStax Calc textbooks!
    8
  6948. It's the same story with me, but it's the abstract Algebra prof.
    8
  6949. This is great!..thanks for making these videos. This book is incredible and reminds me of Konrad Knopp's problem book on the same topic
    8
  6950. When there's an impossible assignment, I just stare at it and overtime it slowly makes sense (like every hour).
    8
  6951. I´m not a mathematician, I recently depeveloped an interest in learning Topology (math in general) and indeed the book mentioned in 2:28 is complex for me, so I found "From geometry to topology" by Graham Flegg, I recommend.
    8
  6952. This saved me so much time on the last question on my assignment thanks dude. Simple and quick explanation, love it. :)
    8
  6953. Agreed.. It is a great book indeed!
    8
  6954. Very good, clear and detailed!
    8
  6955. Thank you for this. As someone who is interested in learning more about Topology, this is such a 💎 gem. More math book recommendations videos.
    8
  6956. I like to imagine math sorcerer llifting all his books for workout and reading some of them at the same time. Absolute chad
    8
  6957. Yeah, when I was a little kid I wanted to learn how to fly an airplane. So I bought all the books. When I got old enough for the lessons I already had all the solid background knowledge and theory. I think you are right about the idea of Self Reliance and just getting the personal habit of having faith on one's own abilities. Taking the Initiative in things is much easier if it doesn't seem like such a risk. To the thought "what if I fail?" you can answer yourself "well, I never failed before and that stuff was supposed to be difficult too".
    8
  6958. If you have hope, you can fail as many times as it take!
    8
  6959. Mathematical immersion expands and bolsters math learner confidence by noticing the structure of math, the patterns in topics, and the essence of perspectives. I like the example used here to convey the message.
    8
  6960.  @pinedelgado4743  honestly, I have bought like 4 this month he recommended.
    8
  6961. More CS videos pls 🙏
    8
  6962. We need a review about calculus by Howard Anton.
    8
  6963. Please please please continue introducing books! I have discovered many brilliant books thanks to you.
    8
  6964. Lol perfect timing
    8
  6965. I had an analysis book once (Gave it away). What I didn't like about the book was that the author would prove easy stuff in detail, and leave difficult proofs as exercises, with no solutions. An example would be: A sequence is convergent iff it is Cauchy. Ok, he would start by assuming the sequence convergent, then show that the sequence is Cauchy. Pretty easy. Then assume the sequence is Cauchy, and leave it to the reader to give the proof the sequence converges.
    8
  6966. Your Entire Life = Today(Repeatedly). I do not remember where I did read it, but it is very nice.
    8
  6967. Way to go doc
    8
  6968. What are the pre requistes to read this book?
    8
  6969. I would say you would at least complete an introductory course in Discrete Mathematics but I think Mathematical maturity is an important prerequisite for Number Theory.
    8
  6970. Question was: Why some people have easier time learning math? Your answer: It is just that some people need more time. But the fact that some people need more time to learn math is the reason for our curiosity. You just answered a question with another question. We see that some people need less time and we ask ourselves why do others need more time. Nevertheless I believe that every individual has the same potential for math (or other things). Every math problem is a combination of smaller problems each of which requires a specific skill to solve. At the time of solving this problem some individuals have the fortune to posses an exact combination of skills to solve the whole problem meanwhile others don't - they simply did not encounter problems that would develop the set of skills they now need. Another aspect is psychology - perseverence, inner motivation and self-esteem are important among others. And lastly time. If you do not practice and by doing so invest time, you will accomplish nothing. More productive time you invest, better the skill.
    8
  6971. Okay, quick background -I never took calc in high school, never saw it once, NEVER EVER. I had to start my (college) academic career in elementary algebra and go through a few classes before I could get into Calc 1. I am currently taking Calc 2 in what is probably the worst time to learn something (All online because covid). Here are my thoughts... Calc 1 Hard if you're disorganized (like I was). This class forced me to write neatly. This class got me to start doing my homework. This class had me changing my life habits on the real hahaha. That being said it still felt doable. Sure it felt like a lot of work sometimes but you could see the light at the end of the tunnel. Just take your time and show every step. This class taught me patience. This class also had me dyslexic for some weeks when we started learning about antiderivatives lol. Calc 2 This is the class where you can just see a problem and literally feel your world slipping away from you lol. In this class you turn the page and go, "...seriously?.." This the class that make you start staring at walls on your days off. A reason? (Hint: starts with trig). Calc 2 be like: hope you remember everything. Ok I'm tired, gn
    8
  6972. Yes! Especially teaching yourself. I am largely self-taught and, by the time I was able to formally attend school, I was so far ahead that I was able to start working on graduate material as an undergraduate. But I've been absolutely terrible at the 3rd suggestion. (For self-teaching yourself Algebra, I would really recommend Dummit and Foote or Algebra: Chapter 0)
    8
  6973. My message to the OP, Listen man, I'm so sorry this happened to you and this is how you felt. I was in a similarly situation in the past, and what I realised that how you do in a test is not a reflection of your abilities or your identity. From your message I'd say your preparation was inadequate. Why did you do the homework three times? You should have done that homework once, looked at what was hard, and only re do those questions. You then should have find further problem sets in an escalating difficulty. Whenever you prepare for any test, you need to do questions similar to those questions in your preparation. That's what makes the difference. Effort alone is not enough, it's must be the right effort. Please don't allow that exam to define your self worth. That exam only measured your preparation not your mathematical ability.
    8
  6974. just do long division lol
    8
  6975. I did the basic stuff at school and was given an A* GCSE Maths Award after completing the course which normally takes 2 years. I then studied "A " ( Advanced Lavel ) Maths on my own, which was considerably more in depth and covered a vast amount of mathematics. But I found it so fascinating. Not easy ! Then I purchased my first Undergraduate Maths Textbook - again for self study. It was utterly rediculous. But I`m pressing on.
    8
  6976. infamous = well known for something bad
    8
  6977. My man you look holy
    8
  6978. Brazilian elementary math books usually have all the answers There's a calculus book collection from a brazilian author called Guidorizzi which have all the answers as well, iirc.
    8
  6979. If you like this book you would like Courant & Hilbert, Methods of Mathematical Physics. My teacher for an applied math course was a Dr. Brown who was a grad student of Courant who was a grad student of Hilbert. History matters.
    8
  6980. As one of the folks who recommended this book, I'm glad to see that you found it worthy! If you had reviewed it and concluded "this is garbage", I would have felt like a complete dunce. :-)
    8
  6981. Thought you were going to talk about how mathematicians pare problems down to their essential structure through abstraction. You search for a certain "minimal" version of the problem, which can yield broad insights.
    8
  6982. Hard, A biggg yesss! Fun nevertheless! Thanks for the info!
    8
  6983. 4 weeks till I start my physics masters. I hope we wont have to do online courses again. The mental stress actually brought physical pain.
    8
  6984. Your a genius sir
    8
  6985. Maybe you've done one already, but a video on how to manage your time extremely efficiently? I live in awe of my CS friends who are done with their work by 5 and still get straight As in their classes.
    8
  6986. Because that would be odd...
    8
  6987. But after real analysis there’s complex analysis... and then foundations of analysis with all the scary measure theory stuff
    8
  6988. Sir, I'm super interested in math. However, if I can't do well in analysis and algebra which I'm taking right now, do you think I should give up pursuing a math degree? (because maybe I'm not talented and I don't want a low gpa
    8
  6989. Moreover he's the only channel in enitre youtube who really suggest and compare math book than give lectures about maths.
    8
  6990. It is true that adjuncts are severely underpaid. I attend college in NYC where we have a public university system that houses 25 different public colleges which consist of a majority of adjunct professors because low funding cannot afford full-time faculty.
    8
  6991. I like math, but geometry no I just don't like it.
    8
  6992. That book should be shipped with a magnifying glass included 😅 Very cool!
    8
  6993. Awesome 2nd edition! 😀😀😀 Although my math library is far less comprehensive (my focus is more on physics books), I own quite a few books mentioned here. However, I have some additional suggestions not mentioned already, which I‘d like to share 😊 Perhaps, Math Sorcerer is going to buy some of them…? 😂 Alan Baker, A comprehensive Course in Number Theory (great, but probability not for beginners) Adams/Goldstein, Introduction to Number Theory Davenport, The Higher Arithmetic (imho great for beginners) Burn, A pathway into number theory (written in guided discovery style) Pommerheim et al, Number Theory (more breadth than depth, but truly a piece of art!) Bogart, Combinatorics through guided discovery Shahriari, An Invitation to Combinatorics Roe, Elementary Geometry Meyer, Geometry and its Applications Adams, The Tiling Book (he is the Knot Theory grandmaster, this one is his take on tilings - a beautiful book, the math combined with looots of very pretty pictures :)) Houston, Complex Analysis Butler, Lectures on Abstract Algebra Cummings, Proofs Cummings, Real Analysis Taboga, Lectures on Probability Theory and Mathematical Statisticas Riley/Hobson/Bence, Mathematical Methods for Physics and Engineering Krantz, Differential Equations. Theory, Technique and Practice
    8
  6994. This is why I'm taking a break this coming semester to rebuild my tenacity so I can continue my math journey to the best of my ability. Thanks for the video :)
    8
  6995. Would there be any way that you could be able to upload the solutions? Thank you
    8
  6996. His hair is the secret to his math smarts. It shall not be cut.
    8
  6997. thumbnail is super scary
    8
  6998. Exactly what I need for this advanced calculus. Glad the Math Sorcerer was so forward thinking and knew I’d need this 7 years after he posted it. Thanks.
    8
  6999. You have sold me in quite a few books. This is one of them. My bank account is smaller because of you.
    8
  7000. Professor you are awesome (⁠ ⁠◜⁠‿⁠◝⁠ ⁠)⁠♡
    8
  7001. the best tip, i ever got: 1) play around with the definitions/obects. 2) listen to your own inner voice
    8
  7002. It’s interesting that’s exactly how I get highly motivated in the beginning of the semester than I start hating doing math towards the end of the semester. Good advice though.
    8
  7003. Thank you professor. It was really helpful 🙂
    8
  7004. The future me will have read that book — that is my mental visualisation or positive thinking.
    8
  7005. Has he ever blinked in these videos? Is this a humanoid robot?
    8
  7006. Thank you so much for these book recommendations. I have some time before I start college and Definitely want to excel at the math part. Also it is way cooler than I thought it was.
    8
  7007. Hey this was good topic, have you done similar vids about geometery, statistics & probability, trignometery and cal etc. Please consider doing series of videos about them as well.
    8
  7008. I LOVE the analogy of AI being like a textbook full of problems complete with answers. If YOU want to create something, AI will be a powerful tool to teach you and help you become better, but it won't replace you as the intelligent human being that can come up with new ideas that make you relevant to your peers.
    8
  7009. I’ve been watching asmr for 6 years or so…Pleasant to see my favorite mathematics enthusiast take a crack at it. Not bad 🤣!!
    8
  7010. Why do so many math textbooks include answers for only select problems? It’s frustrating for a lifelong learner like myself who isn’t taking classes.
    8
  7011. Oh I’d be remiss if I didn’t also mention this. Eric Weinstein (famous “math guy”) is very vocal about his struggles. How he was an “oddball B- math student who somehow got into Harvard.” He also talks about having learning challenges and dyslexia so bad that he needs to use LaTEX to help work through the symbols when doing math problems. On the plus side, he has a very unique way of approaching things. At any rate, he is at least one example of someone who has significant challenges that didn’t stop him from excelling.
    8
  7012. O my! It took me way more math classes and thus going over more math books than what you have to get my BS in pure math. Those are just half of the math books I have. 🤯
    8
  7013. Hello, Do you know How to prove it - A structured approach ?
    8
  7014. Cons of Self-Study: 1- Makes you feel stupid once you don't understand anything. 2- Lack of focus because you have too many ideas. 3- Self study can make you feel lazy and unmotivated and can make you worse if you don't do it if you don't get your goals done.
    8
  7015. pure GOLD for upcoming end of the world, or recession, or depression, or deflation, whatever I'm scared ;)
    8
  7016. I used Dover Publications for learning real analysis, topology, and linear algebra before taking those courses. Now, I just buy old textbooks from Thriftbooks.com.
    8
  7017. My favourite from one of my algebra professors : "Welcome to Linear Algebra 1. Here you will learn the basics about vector- and matrix calculations. You should already know from school how vectors and matrices work, so we'll skip that trivial stuff and jump right into the advanced topics."
    8
  7018. FEAR: Face Everything And Rise or Forget Everything And Run the choice is always yours beautiful people...
    8
  7019. As an undergraduate I studied economics (couldn't switch cause sunk costs were too high) and now I'm doing a Masters in economics. For the last 3 years I've been trying to find a way to switch to mathematics and start over, that is get a bachelors in math and work my way up to a PhD. But its near impossible because universities in the US don't want students who already have a bachelors degree so I'm stuck and now I'm trying to save money so I can study in another country. Might take me years before I save enough, already 24 and the years are going by quick.
    8
  7020. The way I like doing math is definitely being consistent and also putting time goals instead of "# of exercises a day" goals. It works much better for me that way. I just sit there and try to learn: whatever I can as long as I'm learning and thinking (the problems, definitions or theorems) thoroughly. Like you once said: Focus on learning! Love from Mexico!
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  7021. That's some real sorcery
    8
  7022. 0:55 hahahaha, I'm dead
    8
  7023.  @TheMathSorcerer  Ah I'm from Havana as well, I asked just out of the possibility that you were one of my mom's long lost friends, the guy also became a mathematician.
    8
  7024. I believe in PRACTICE. First, I watch videos and re-watch them few times. I read books as well. I often do all that during the quiet times of trade inside a small shop where I work as an assistant. Afterwards, I practise lots of maths by solving problems in the exercises. Sometimes, I give maths a few hours' break and do other things like practising Gregg shorthand.
    8
  7025. Sosis from Turkey 🇹🇷
    8
  7026. Thanks for your videos
    8
  7027.  @TheMathSorcerer  , That hairstyle though. I am attempting to learn to code in C now. I am going against convention, having listening to most pundits of programming on YouTube, saying it is not the best language to first learn. I consider it the best language to learn first after doing research on its evolution and origin. I took a programming class decades ago, can’t remember what language it was. It was a one semester course. At the end of that course I became the computer lab programmer. This was before YouTube, frameworks I do not think exist, libraries no concept of that. I was automating my own functions. Floppy disk were still in use.
    8
  7028. Hey, it was a fantastic review, seems like it's worth a try. Anyway what's your opinion about Shifrin's Multivariable calculus text?
    8
  7029. This guy really helped me
    8
  7030. I have my own rules. Once I decide to do it. I'll do it even if it takes years. I've decided to make games, so I'll do it even if it takes time. It's not like I can do it or not. It's simple. I'll do till I make it, so I won't lose because I'll keep going till I win. That's one of my rules.
    8
  7031. neighbors lighting up the block at 5:59 lol
    8
  7032. I’m taking Discrete Math and It’s more difficult than Calculus. In my school it is called Discrete Structures and it is a 3 unit class. However, the Professor said it should’ve been a 5 unit class.
    8
  7033. I'm disappointed. My college's senate decided to reopen the college and return everything to normal, even though absolutely nothing is normal right now. Even in the least manner of sense. Hope you all are safe out there
    8
  7034. Due to Covid-19, studying math in university has sadly become self-studying, with the diploma, of course...
    8
  7035. at my uni in grad school we go everyday from 8 am to 2 pm.. we must take 5 courses each semester and we have only 2 exams for each course.. no assignments no projects no teaching whatsoever... it's only a piece of paper that allows the instructors to judge if you're a good student or a bad student.... and when the first year of grad school is over and you passed the 10 courses you get to apply to the second year and some students aren't allowed to complete their masters because their grades are " not enough"... while you should've been trained and taught to think like a mathematician the system force you to act like a computer program who devour info and spill them in a test...
    8
  7036. I like to sit by the fire with a cup of coffee when i am ready for a light relaxing read and break it out LOL just joking ! great stuff almost there
    8
  7037. Hi Math Sorcerer. Can you suggest me books to self-study mathematical logic leading to the foundation of mathematics?
    8
  7038. A couple more years of YouTube channel growth and I look forward to your Terence Tao interview:)
    8
  7039. I was hesitant to take my profeciency test so I can skip Calc 1 [I had already taken it in high school] but this motivated me to do so! I'm gonna watch this review and I hope I pass and get credit for it!
    8
  7040. You are the best! cheers from Argentina, thanks master!
    8
  7041. I would love to go back to school and go back for a math degree. The problem is so many math courses are so difficult and I flunked out lol. Oh well maybe another life.
    8
  7042. I'm already super good at Calculus!
    8
  7043. I was studying Mechatronics Engineering but changed to Psychology and Software Engineering because they didn't have laboratories. I changed from a public to 2 private universities, i've been developing hardware and software projects and i want to do neurotechnology (mix psychology and software) aswell as design videogames.
    8
  7044. I can even smell it from here too
    8
  7045. Not using this piece of advice for math but am using it for studying foreign languages.
    8
  7046. Thank you Sir for all your suggestions! Every one of them arrive at the right moment of my life!
    8
  7047. Good point thank you!
    8
  7048. In Greece we get all textbooks for free😁
    8
  7049. Insanely good.
    8
  7050. Hi I bought this book. If you're starting to self study maths but have solid school basics (around 9 or 10 grade), it's not a great book. It's like a course book so you'll be bored. But if you're not sure of some really basic stuff and it's been a long time you've been at school then is good for you to get back in math
    8
  7051. What are the math prerequisites for abstract algebra. I'm taking that spring 2020
    8
  7052. Bless you birdie 0:13
    8
  7053. Every time you write "obviously" imagine you are the professor and an student in front of you says "I don´t find it obvious".
    8
  7054. That is my Linear Algebra teacher this summer :(
    8
  7055. This video needs more likes
    8
  7056. yes it's actually happens when the teacher doesn't know what answer is.
    8
  7057. I can't believe you sniffed the book, lol, such a nerd thing to do.. (I concur). I really enjoyed this review.. May delve deeper.. :) Ty
    8
  7058. Wait a minute...you are at 120k subs?? Congrats man!!! It feels yesterday that I subscribed, and you had like 70k... Now that I think about it it was just a few months ago. The channel is growing fast! That's because of the great work you are doing with each video, keep it up!!
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  7059. I have this book. I received it from my uncle. He received it from my grandfather who used it in grade school. I have another leather-bound book from my grandfather, too. It is on Lagrange or something similar. Cool old books. It is nice to see how the subjects were presented in the past. Thx!
    8
  7060. My autism/disability is The enemy of my success and I don’t know how I can possibly pass electronics engineering in community college. I’m having to many doubts about where my life is going to go and I tend to overthink that my intelligence is the reason why I can’t find my true passion
    8
  7061. Doing robotics homework while watching this and hearing you speak Spanish caught me off guard. love your videos I always feel smarter by just listening to you talk.
    8
  7062. Wow. I wish The Math Sorcerer was my professor for every math course. This guy is incredible!
    8
  7063. We will always support you. We hope to see more content like this.
    8
  7064. 1st viewer 🥰
    8
  7065. That's clear and without mathematician arrogance. :) Thank you!
    8
  7066. Book of proof by Richard Hammack.
    8
  7067. Hussain Ismail He might be happier where he is. Advantages: simple lifestyle, low maintenance, low debts, fewer worries, no salespeople calling to door, no junk mails, no superficial friends, no burglars, etc. He probably has more peace in a caravan than in a mansion or castle. A nice house with a beautiful garden only attracts unwanted attention from burglars and pesty salespeople. He can always get another tiny house of whatever size that suits him. There is the GoFundMe and Math Sorcerer has over 40K subscribers, if they consider gifting him money as their tokens of appreciation.
    8
  7068. We appreciate your insights. Keep working hard.
    8
  7069. When I see the Math Sorcerer refer to Variation of Parameters as messy math, I feel a bit better knowing I felt the same way in my ODE 1 class 🤣
    8
  7070. This one was the simplest one I have seen lol. Perhaps you can make videos on higher mathematical concepts like Number theory?
    8
  7071. I have a 13e Thomas (the non-early trans version) that Im using to teach myself calculus ahead of taking the course. The book my college uses is the Larson book. I thought about getting an older version of that book, but Thomas was cheaper (i found my copy for $26 on Amazon and its in pretty decent condition) and Ive heard more about it. Another book I picked up recently is Calculus by Morris Kline. Its a very fun book to read and has nice exercises. Its in print, but its a reprint of a text that was last revised in 1975. So its interesting to see how Calculus textbooks were written 50 or so years ago.
    8
  7072. "You know what, don't worry about it this is not going to be on the test" The Test: 3 questions, 2 of which are about that topic
    8
  7073. Indeed I use this to teach myself calculus and now I'm studying maxima and minima in that book very interesting
    8
  7074. I actually prefer the harsh teachers to the soft ones, because I feel bad about asking difficult questions to the soft ones, so I learn more that way
    8
  7075. Thank you for this simple video it's easy to follow
    8
  7076. Haahahaha! That's the exact same process I had. Philosopher because they're all really cool people who I wanted to be like, oh wait that doesn't seem fun. Theoretic Physicist because that was fun and full of really cool people, very math heavy as well. I had a wee moment of insanity where I thought Engineering was a good move, my friends kept badgering me to try and make actual money in my life. I then was like, oooo actually no... engineer!?!? Gross. I didn't want to do labs, and I found my math buddies were all my best friends. The coolest people are the mathematicians. CS is a nice thing I might tack onto my degree, but maybe not? Depends on if I can fit in enough classes each semester for scholarships to not hate me.
    8
  7077. Quite dark mathematics
    8
  7078. Sos un crack, me salvaste en plena clase xD
    8
  7079. It’s been about 3 years since I took a class in ODE’s. Variation of parameters was one of those techniques i forgot how to use, so this a great refresher. And I’m surprised to hear that someone used this technique in PDE’s, I got stuck using the method of undetermined coefficients a lot.
    8
  7080. You're the proof that a mathematician can be more motivating than all those BS motivational speakers! Great job!
    8
  7081. I do exactly what you suggest. I study Physics online. I use everything that may help me improve the best of math and physics. Thanks.
    8
  7082. Surviving lol 😅
    8
  7083. I got Swokowski. It has a tad more proofs than standard books like Stewart and Larson but not as many as Apostol's text has. I also like the book Calculus: A complete course by Adams and Essex. It's different because it also contains some challenging problems that standard STEM books (like Stewart, Swokoski, Thomas's) completely lack. It's interesting to note that Calculus by Larson is arguably a tad easier than Stewart's or Swokowski but Larson did include a very small handful of challenging problems (Putnam challenge problems) here and there. I got Larson too. Paid 100 bucks for it eons ago -:) Nowadays I often prefer used books in excellent condition. I got tons of them in electronic version. By the way, I bought a Swokowski really cheap more than ten years ago--paid like 15 bucks for it in excellent condition :)
    8
  7084. Love your book reviews, going to buy this book! Perhaps it will help me decide to do Masters first, or jump into the Ph.D. program right away!
    8
  7085. This would've been useful in my exam.
    8
  7086. pure mathematicians never get hung up on the "why" because they're hung up on the beauty
    8
  7087. I’m a 26 years old commerce student. Now I’m still not fully qualified in my field yet but I feel that I’m not enjoying my field of work. Now I too wanted to learn math and I started learning trigonometry, partial fractions, remainder theorem, synthetic division, differentiation and integration, inequalities and complex analysis. so far I've enjoyed my study sessions but it takes my time alot. When I decided to study math as a hobby, I thought that I would study only for an hour or two everyday. But what happens is that when I start a topic, I couldn't stop it till I'm really tired, so it takes most of my time, every day I would study like 4-6 hours countinuesly. This math addiction causes lot of trouble in my personal work and my office work. I couldn't concentrate on my work and I couldn't do my household chores, all the time I keep thinking about math problems. Now I don't iron my dress for work. because I don't have the time. I'm also unmarried and my mom wants me to get married. Even I want to get married. But I'm confused whether I should continue my math studies as a hobby or should stop this and concentrate on my office work. and plan to get married or should I just be in the job and enroll into a bachelors math degree. I'm really confused, people please help me make a clear decision.
    8
  7088. Thank you for the video
    8
  7089. I love your content brother
    8
  7090. I hate math but love this channel, see it can always work.
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  7091. Really nice vid MS !!! It would be great if you could make a review of "How to read and do proofs" by Solow and "Linear Algebra and Matrices" by Salzmann. I got the latter book a few months ago and I thought you could do maybe do a full review of the book sometime. Would be awesome!!!
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  7092. Me speeding this video up to 1.75🧠
    8
  7093. Lol
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  7094. 1:33 sounds like something, an engineering professors would say.
    8
  7095. If you record the video under 59 seconds facing up and down the other direction, it will become a "short" which can get thousands of views. Thank you. I took small steps today. My Biology instructor emailed homework for the first day of class next week.
    8
  7096. Saludos desde Nicaragua. Gracias por los consejos y la motivación.
    8
  7097. Couldn't have said it better myself.
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  7098. I just wanna say that I have watch a decent amount of videos on this subject and tons of theories were explained. But no hard examples showed why addition would fail in any case. I really appreciate the video as you simplified it to a point that was kept alluding me.
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  7099. thank you! very helpful.
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  7100. My God, this is the only video that made sense to me. Thank you!
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  7101. Spot on. Life is hard and full of obstacles, surprises and problems. The key is to find all possible solutions and options . Math helps with mental health too because it teaches how to think logically. In my humble opinion , Pure Math, Physics, Chemistry and Ancient Greek language learning are probably the hardest subjects to master. If you can excel at these, then you will be on the right thinking path.
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  7102. The workout I personally go for involves training the muscles in separate groups. Monday: Chest, Shoulder, and Triceps. Wednesday: Back, Lats, and Biceps. Friday: Legs, Obliques, and Abs.
    8
  7103. Fichtenholtz' series on Real Analysis is really nice but I don't know if it's available in English (I have it in German)
    8
  7104. Yes, I am learning Real Analysis from it as of now. I do think it is a great exposition of that subject. Abbott talks very less and gets straight to the point -- but mind you he doesn't miss anything. edit: do all the problems
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  7105. A few days ago I started to learn how to do improper integrals. It was easier than it first seemed!
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  7106. My huge gratitude for the math sorcerer. In these critical moments,this video came in the right moment where I needed it to realise to never give up
    8
  7107. Thanks for making these videos... Set proof videos are very hard to find on youtube. I am a high school student in India. Can you recommend any book on set proofs?
    8
  7108. I was never big on the whole mental aspect of it, I just wanted results. The more I mature the more I understand that mental health is the most important!
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  7109. Heyyy i really loved your teaching.Can we also get the homework questions for practice? 😃
    8
  7110. What we've all been waiting for.
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  7111. omg!! how du know the exact question im doing now :) damn mage power btw again where is ur damn face during lecture ,it boosts our mage power
    8
  7112. My biggest problem in learning Math is understanding how and when to apply it to solve real world, unprepared problems. Most of my effort goes into learning theorems and solving hundreds of equations.
    8
  7113. Math PHD Bob Donelly wrote that he goes to math lectures. Completely lost within ten minutes. Yeah math is hard.
    8
  7114. I know it's been a while since someone has commented, but OMG!!! You explained this perfectly. There are so many variations on this. Most importantly, there are incomplete explanations on this as well. Thank you, sir.
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  7115. My respect to Dr. Lang.
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  7116. Yeah, SPEED. Yes, my Professors would deduct points for not labeling everything and not using all the notation, but the deductions were always small. You could get the lions share of the points for the problem just using bare slap dash as long as the work showed you weren't cheating and the answer was basically there. SO that is how I would do each problem, and if there was time after I I finished the test like that I would go back and fill in the labeling and the notations, you know, wait until the end to dot all the i's and cross all the t's.
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  7117.  @TheMathSorcerer  you didn't start until you was 24? Damn. I feel inspired right now.
    8
  7118. This kind of videos are amazing
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  7119. Love your channel. Are you a professor at a uni?
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  7120. I was in great confusion but thanks to u now my confusion is gone. Thank you very much❤
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  7121. I agree. I used to think I wasn't "math oriented". However, I became really good at math in high school in calculus I, and part of the reason was that I the teacher made us go back and right a paragraph for every question we got wrong and another paragraph explaining why it's right. That helped me learn math much better and faster than doing dozens of problems.
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  7122. Hello Math sorcerer, Make a list for Master's courses for mathematics
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  7123. My natural talent is with spatial relations and 3-D geometry, so the disk and shell methods were candy to my eyes. I also didn't have a problem setting up word problems and that's probably because I actually majored in physics. I did have a lot of problems with the infinite series, but I think part of the reason for that is that I simply wasn't interested in them and basically saw them as a waste of time when I was studying them in college. I might view them differently today. I just didn't see a practical use for them at the time. I wasn't studying as a pure mathematician. I was studying as a physicist, so if I didn't see a real-world application i found it difficult to get interested in what I viewed as having little practical value. The disk and shell methods were obviously quite practical and useful both in concrete applications, and also in an abstract geometric sense.
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  7124. Hey, that's the Interest formula Then we get the principle
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  7125. I love the book club we have going. <3
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  7126. I feel like I'm watching someone teach illegal math in a basement somewhere.
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  7127. Oh man, I am really scared about the result of my final exams. I hope everything will go well tomorrow.
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  7128. As Vince Lombardi, the famous mathematician for the Green Bay Packers said, "It's not whether you get knocked down, it's whether you get up."
    8
  7129. Very good at playing a guitar.
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  7130. Great stuff! Thank you!
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  7131. Abstract algebra nearly made what to give up mathematics, but I'm still holding on.
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  7132. Kreyzig is a “GREAT” book is an understatement! The newer editions include chapters on numerical analysis. It saved my backside countless times both at the university and in my professional life.
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  7133. hey sorcerer, you should do a review on "a mathematician's apology" in the future :)
    8
  7134. I believe in myself, but math problems don't. They don't respect me. They insist that my solutions are not the right ones.
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  7135. That's interesting because I found Complex Variables easier than Real Analysis. Note: I said "easier", not "easy".
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  7136. I was giving a test today and I couldn't get the paper! It took me 20 minutes to access the paper(due to glitches) and I was completely screwed😭 The good thing is that it was a trial test, they called it a test test, as in testing the test lol, sounded so weird P.S: I'm learning Spanish Hola, me llamo Rat Puppet Mucho Gusto Buenas Dias!
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  7137. Yeah this was the standard for a while, not sure if still is since I think some of the authors have died. I used the 7th edition of this book for fall semester 2005, my first semester in college. This brings back memories, lol. I remember thinking this class was hard when I took it but quickly found out this was nothing compared to what would follow as a physics and math major. After a year with this and it's corresponding lab we had our modern physics course with "Modern Physics" by Serway for a semester, followed up by a year of E&M using Griffiths "Introduction to Electrodynamics," a year of classical mechanics with "Mechanics" by Symon which was already out of print in the mid 2000's when we used it for our class, a year of quantum with Griffiths "Introduction to Quantum Mechanics," and a semester of thermodynamics with "Classical and Statistical Thermodynamics" by Carter which is also out of print now, and our experimental physics and computational physics labs were one semester each with textbooks made by our physics dept. That was the core that every physics major had to complete, we had physics electives too, I went with a year of astronomy and astrophysics using "Introduction to Modern Astrophysics" by Carrol and Ostile which we called B.O.B. (short for the Big Orange Book), for those that took the "night" lab where we set up with telescopes and did things like measure the angle of separation of suspected n-ary star systems with a bifillar micrometer or setup CCD/CMOS cameras to take pictures of something we had these manuals created by the professor.
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  7138. Single-variable calculus --> Linear algebra --> Multivariable calculus
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  7139. SICP- Structure and interpretation of Computer Programs. One of the great books of CS of all time.
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  7140. Think fast! Are there any non-Albelian groups of order 49? As always, excellent math advice.
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  7141. I studied this book last summer and MAN, this helped me filling a lot of holes I had regarding math in general like convolution integral, step functions, Dirac functions, nonlinear system of equations, Green’s Functions and finally Fourrier Series a. I just learned so much. It was definitely a very productive summer. The solutions it skips are all the proof problems, you can get them all on Sladder though.
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  7142. ha! I just searched your channel's name on youtube for the sole purpose of finding book recommendations, lo and behold your most recent video covers the topic! Your online presence is a blessing to the world.
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  7143. I go to college and it basically is self study 😂
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  7144. What do you think about Spivak? For 1st year undergrad students?
    8
  7145. What's up with the crazy grind, you've uploaded like 20 videos in the past 15 hours :-0 go sleep lol
    8
  7146. Thank you from Israel😃
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  7147. I would recommend spending time on problems you don’t understand , trying to connect where and how it’s bringing the solution & testing yourself with different problems.
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  7148. This guy. TBH, he actually motivates me with his kind words, his commitment to encouraging others to keep going, and great tips for better success. I listen to one of these uplifting videos daily, has made a huge difference in how I approach my classes.
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  7149. I remember sitting in a lecture hall of about 100 with only five of us students in the Cosmology class at a college in Dublin.The subject horrified me and solving the unsolvable seemed to be no chance. My lecturer who was a few years older than me waltzed us dimbos through this material at a breathtaking pace and made the material accessible and presented us with a few questions .By the time I had ridden home on my bike my brain had leaked all that work and those questions seemed impossible and had to be in the in-tray next day. In the presence of our lecturer we felt invincible then reality slapped us in the face we really were and are dimbos. Of course that was a million years ago and our pathetic lecture notes were our pathetic attempt to remember those few seconds in the moment of genius.
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  7150. That is fantastic advice!
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  7151. These have helped me so much. Thank you!
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  7152. Great list! #10 is very important: a) It gets you out of your own head. b) In the real world, you'll be working with other people.
    8
  7153. How is the book on Abstract Algebra by Hungerford?
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  7154. Hegel's last words btw: "There was only one man who ever understood me, and even he didn't understand me."
    8
  7155. This is my favorite channel about mathematics. This video is an inspiration.
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  7156. 2:50 /3:20 /4:47 When dinosaurs roamed the planet xDDDD I love the humility. These are starting to click for me and it's exciting to mess with algebra like this
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  7157. I love Emmy! I'm always glad when people talk about her groundbreaking work. Sadly the story of female mathematicians or scientists working for free is almost ubiquitous for those who did their work before around 1930, and those were the ones lucky enough to be committed to historical record
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  7158. Thanks a loooot professor! The lesson was really helpful! I have never heard about tabular method, i regretcnot using it. I wish I had a teacher like you!Best wishes!
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  7159. I love daddy❤❤
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  7160. These thumbnails bruh i cant😂
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  7161. You may also want to look at Webster Wells' Advanced Course in Algebra. I recently completed a 2,500-page rewrite with full solutions. It is a great algebra text that would cause many mathematics students to scratch their heads.
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  7162. These are going on my reading list. A few months ago, I was watching a physics video that referenced the book "Lorentzian Wormholes" by Matt Visser, and I was immediately intrigued by the title and incredible cover art; I had to get a copy. Well, when it arrived, and I opened it up for the first time, it was like hitting a brick wall! Far beyond the purview of my computer science/mathematics undergrad degree, to be sure. But it is still a beautiful book, and it has sparked a personal quest for me to learn enough to actually be able to read it. A little intro to analysis could help!
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  7163. I have been self studying pretty actively this past month and I have no regrets! I had some pretty bad migraines but that feeling when I understand a concept makes it worth it.
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  7164. If the most notable (supposedly positive) features of a book is that its "really tough" and "not for the faint of heart" and "takes a lot of effort" to read, perhaps the elitism criticism isn't very far off… We live in a culture where being challenging and unapproachable is apparently a positive feature. These are not the goals of education. They're the goals of elitism.
    8
  7165. Job security in America is rough. I'm a dishwasher with no degree that makes $12 an hour, and I have CS friends making $95K at entry level positions
    8
  7166. Someone make a book sniffing compilation
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  7167. I really like that book. My instructor wanted to throw it out the window, because the answers were often wrong. But I figured that,if I was thinking about math, it's good. This book has a lot of vignettes about mathematicians from the past, and I really liked that.
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  7168. Good advice. I'm in software development and I think a key thing is not solving certain problems YET. I will figure it out but to totally fixate on it and obsess, like you said has been bad news for me. I like also focusing on different problems, as there is such a thing as momentum in our work, once I solve smaller sub tasks I'm able to tackle many others.
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  7169. People: Read the book Math sorcerer: Smells the book
    8
  7170. This was phenomenal advice!
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  7171. me: sees how he introduces himself also me: like
    8
  7172. Stewart has a vector calculus book too. Very similar to his traditional calculus book. Also, did you know Zill has a book titled Advanced Engineering Mathematics?
    8
  7173. Just bear in mind most engineers work in 3 crews 2 shifts schedule, which means 12 hrs in a working day. Its a hardcore job especially when you're not in a 1st world country
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  7174. If I had somehow bought like 5 or 10 bitcoins for a couple bucks at 2009 and hadn't spent it since then, I'd be rich right now, and thinking about that fact drives me nuts, even though I was only 11 at that time and had relatively no idea what was going on in the world.
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  7175. I was listening and thought I recognized the first author. Sure enough, I have the Dover edition of Introduction to Analysis by Rosenlicht and Number Theory by Andrews. I got curious and counted 11 Dover books, mostly on subjects that I did not take in school.
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  7176. i swear man ur channel is a gem!
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  7177. After all the abstract algebra books you have reviewed, if you had to recommend only one book for abatract algebra, which one would you choose? Also, taking in consideration that I have studied linear algebra done right and real analysis(baby rudin) so I guess I have developed some mathematical maturity
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  7178. I completed my masters in maths this year and I agree with you that learn math by dealing with failures. I stuck in various thereoms in algebra but instead of giving up I took help of teachers, friends and youtube to solve my doubts...and especially friends are very helpful to solve my doubts and keep me motivated in math.
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  7179. Great video! I remember having similar insecurity when I started university. I went for Math but was afraid of not being smart enough. I took some computer science courses and fell in love with them. More than 10 years later, I still love computer science, and it seems that I was always meant to be a computer scientist.
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  7180. thank you for this! my professor always explains stuff in an unnecessarily complicated way and this got me to really understand what's going on and not just blindly following how he does it.
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  7181. I can't believe this. I was talking with a math friend about 30 minutes ago, and suddenly the topic of homework showed up. He told me that he had the best grade in every task, and then he suddenly says: "But let's stop talking about me 😎, how about you?" when I literally told him yesterday that I had bad grades... And I asked him for help!! It's just like if he saw this video and decided to do everything to make me feel bad!! It sucks. I was feeling very upset, and the finals (where I live) are coming, so it gets worse. But thanks to you and this video, now I feel better :D
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  7182. Once someone showed me the power rule for differentiation, and the inverse for integrals, I had to take calculus.
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  7183. After seeing one of your "reviewing books" videos, I got Larson's Calculus and I really really really like it.The 11th edition is really modern, well written, instructional and intuitive. I get really excited when I find mathematical books that are written with a "good educational perspective". To you have any similar recommendations like Larson's for the rest of the "major" topics (probability theory, linear, etc etc)?
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  7184. There comes a time in later life when the thinking process slows but it doesn't stop. Memory might not remember what was learned when younger. Memorizing formulas becomes difficult. BUT it doesn't mean you can't still learn. Maybe having some reference books for previous courses will help. Doing it in smaller chunks might be needed. So What? You are only in competition with yourself.
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  7185. We appreciate your effort and hard work. God bless you always.
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  7186. Dear Math Sorcerer: Thanks for the great book review. Hay, one of the math classes I would love to take would be Calculus of Variations. There is a great book by Robert Weinstock that has all sorts of great problems and examples. check it out. Take care Rick.
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  7187. The sorcerer says, Be patient!!
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  7188. I don't play this game but I'm willing to learn it with you sir:):):)
    8
  7189. After I finish my manneging major few years later I started re - studying operational research mainly linear algebra. Is pure fun but also challenging
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  7190. $10-20? Application fees now are $60 💀.
    8
  7191. OMG OMG OMG!!!!! I just found you!!!!!!!!!!!!! LOVE YOUR TEACHING PROF!!!!!!
    8
  7192. You might like a room with whiteboards or blackboards covering all walls floor to ceiling.
    8
  7193. Math Sorcerer: "You will have to learn algebra at some point" 10 year old Me: "You underestimate my power!"
    8
  7194. ”Intelligence is hard work in disguise” When we see our peers get an A on the most difficult exam we envy them and think they’re naturally talented, but we don’t see the amount of hard work they’ve put sitting day and night
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  7195. ass. 🤣🤣 really much funny....i watched again and again....😁
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  7196. This was amazing. Can't wait for Episode 2!
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  7197. You are the one because whom I started to do self study of mathematics and physics from zero You were the one who gave me motivation to do so thankyou sir ❤❤
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  7198. I gave both books a try and really liked them, in particular the examples after each definition. But the lack of solutions for the exercises is kind of a letdown. Especially when the proofs for some propositions and theorems are swapped out as exercises. Sometimes, some authors are demanding to much from the (even advanced) readers.
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  7199. Love from India.
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  7200. Very interesting proof! Thank you!
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  7201. What a great teacher you are bro like this
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  7202. Wise saying....
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  7203. This lesson is not just for math. It's every life pursuit in general. If you want to develop skill for something, you have to rigorously practice it until the the basics are legit so commonplace to you, you don't even worry about what they are. You're too busy pondering the higher level ideas, or mastering those trick shots in soccer/basketball/golf/ etc. Artists make lavish art because they practiced drawing/painting/designing portraits that are healthy mixtures of all the details that go into such grand work. It's not new to them. Because they practiced. It is the very air they breathe. Getting started sucks. The will power to keep going is what separates success and failure. It helps to focus on your occasional improvements which are results from having practiced.
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  7204. I wish I have 48 hours in a day for studying my passions. 😕 I only have mostly 5 hours each day to do my own thing. The rest of hours are mostly work and sleep. I am self-studying animation and maths.
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  7205. I find your videos very, very helpful, keep going!
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  7206. Great book reviews. I am embarking on physics studies from home. It is difficult to find good books for beginners like myself. This video helps. Thanks.
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  7207. Currently self-studying calculus and realizing (as it seems with most calculus students) that the actual calculus ideas are relatively easy, but I'm making trivial algebra and trig mistakes that are holding me back. That's why I appreciate these somewhat more basic proof videos - It helps to really solidify the basic concepts that I've forgotten over the years!
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  7208. Man... I wish I was paying $20k for this guy instead of my profs
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  7209. Bro you summed up every class I took...
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  7210. Its been a couple years since I did a straight maths module at uni... when you dont have the stress of exams it is such a satisfying subject
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  7211. Why have I never found this channel before?! You have so much awesome content! I noticed you've done math book reviews. Have you ever heard of the "Life of Fred" series by Stanley Schmidt? I really like it and I've been studying his undergrad-level books during quarantine.
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  7212. God is still randomly pressing the digits of pi after decimal.
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  7213. Now I want some of Larry's wife's blueberry pie.
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  7214. 0:42 best moment
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  7215. things that helps me a lot in learning maths is to seeing nature in mathematical way and taking an interesting problem in head and try to solve while sleeping.
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  7216. Coming from one retired math nerd to another, I really like your channel. Keep up the good work.
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  7217. I actually can’t wait to take the really hard math classes I don’t even need for my major 😜
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  7218. These books are surprisingly nice. I have the Algebra and Geometry books and they are awesome as well
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  7219. What other methods are there to prove equality of sets?
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  7220. I went back to community college at the age of 24. While I worked 50 hours a week, I took 2 night classes a semester. The hardest part was gaining self-confidence and being able to self teach. I discovered how I learned and I made it through community college before transferring into a university. The hardest part is not giving up, loving to learn, and making efficient use of your time. Being in your mid twenties at any level of college gives you an advantage. Often you're more motivated, dedicated to succeeding and you know what is at stake. I am currently finishing my degree and I know a lot of young people who are very distracted. Being older and more mature is a good thing.
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  7221. Ain't the internet great? Before the internet, the only way I could learn what textbooks were popular on some subject was to visit a college or university campus and go to its bookstore. Even then, I might be prevented from buying a book without proof of registration for the class that was using the book. Not only that, but even the used copies were very expensive. So yeah, things are much better now for collectors of textbooks.
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  7222. Thanks a lot! This video really helped me out.
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  7223. Actually math is easy because of the 4 major operations. It just hard when youre battling with yourself to study it
    8
  7224. This was a cool problem to watch.
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  7225. This was way too real. I've been out of university for 7 years and this gave me all sorts of flashbacks.
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  7226. A numerical analysis video would be great. Especially with something related to engineering like out of Kreyszig's Advanced Engineering Mathematics
    8
  7227. lookin fresh and giving fresh advice
    8
  7228. Cheating presumes the existence of a game. If the fixed point of a game involves cheating then it will happen. Designing a game without an incentive to cheat is hard (but possible).
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  7229. Sounds like a good setting to work with if you're doing those interviews where the person being questioned is a witness to a crime, shot in silhouette, and wants to disguise his/her voice.
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  7230. How do you get internet though
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  7231. THANK YOU SO MUCH. THIS HELPED ME BY A TON! I am now subscribed!
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  7232. you're saving my ass during this pandemic, I love you sir
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  7233. I just got a 10/10 on a final exam an hour ago But there are many to come, good advice!
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  7234. This was the first math book I've studied, since I decided to learn math.
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  7235. Thanks, Sorcey
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  7236. Good luck Simon! Go for a variety of experiences in your education. I teach at a school where I was also a student. It's fun, but I had a hard time going from Prof. Smith to coworker Smith. It took me 5 years to get to the point where I called one of my professors by his first name. Best to make friends at another campus. 😀
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  7237. I've heard Vinberg's book on algebra also has a similar approach, but maybe it has a better index!
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  7238. That's so neat! Perfect! I always had a hard time memorising these identities. Notice that once you get the first two identities, you can just replace the y by -y and you can get the other two identities without having to start from scratch.
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  7239. أحب الرياضيات❤I love math
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  7240. ...bruh
    8
  7241. This is great! Greetings from Sweden.
    8
  7242. Thank you! That was explained beautifully
    8
  7243. They should add this guy to Borderlands. He'll be epic!
    8
  7244. Thank you for explaining something my math teacher at PENN STATE couldn't do very well!
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  7245. My man has read Eckhart Tolle's "The Power of Now" and I am here for it.
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  7246. Long time ago in graduate school, overheard a young undergrad asking another instructor if she could "come over this weekend and walk your dogs to raise my grade to a C", and if you had been there, it was clear that by "walk your dogs" she meant something else. Don't be that student.
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  7247. I've spent some seconds searching for the narrator on the trees
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  7248. Thank you so much, this is the exact question that we have lmfao and you answered it❤
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  7249. Thank you for this video. ❤
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  7250. I didn’t know there was a “finish” to all of mathematics.
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  7251. what books do you recommend for learning math from start to finish all the way from the basics to advanced? love ur videos 👍🏻
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  7252. First comment let’s gooooo!
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  7253. 😊
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  7254. Can you make videos about physical science books pls, it would be interesting and fun since I am a fan of physics 🙂.
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  7255. Thank god you posted this, its been keeping me up at night.
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  7256. Thank you for your advice. I have to wait for my first linear algebra books to come in the post next week, probably tomorrow.
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  7257. I'm self-studying math and your videos really serve as a motivational source to me.
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  7258. Always remember, that great science does not have to be advanced to be profound! Great Physical theories should be easily understood by everyone. That is what makes them great!
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  7259. The gist of my experience as well as that of my friends at school and university is that school and later higher education concentrates more on the solutions to math problems and not concerns itself much with in-depth conceptual comprehension. At school there are so many questions that teachers are not even qualified to answer. University provides a little bit more understanding. But real understanding comes after university(Phd or whatever reason that may be).
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  7260. It's impossible to precisely know without having good knowledge of major engineering streams. Thanks for sharing! Seems like a gem...
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  7261. This is so beautiful worded... Wonderful video!
    8
  7262. I never read Sheldon Ross' Intro to Probability but I read his Probability Models which was great for studying Markov Chains and their use in queuing and renewal theory.
    8
  7263. LOL, I hope that professor at least disinfects the thermometer...
    8
  7264. One of the big reasons people fear math, is because schools and colleges use math courses as "Gate Keeper" courses and "Safety Valves" for enrollments. Got too many Med School applications? Throw in a Calculus requirement. Too many businesses majors? Add an intro to Geometry. That'll cut down the admissions. I was once teaching at the college level, a trigonometry class. I asked the class if the local medical school dropped trig as an admission requirement, how many would drop the class. Every one's hand went up. They all wanted to be doctors, dentists, nurses, physical therapists, etc. College Algebra and Trig was designed to keep their numbers down. When I was teaching high school, I used to have coaches call me all the time and beg me to pass this or that player getting a D or an F, so they could stay eligible to play sports. Even on occasion the principal. I remember once at lunch, after a loss, I told one of the coaches that I was going to have to restrict a couple of his players from my Algebra I class until they started winning some games. Couldn't have "looser" basketball players in my Algebra class, even if they had good grades! You should have seen the look on the coach's face with the tables turned!
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  7265. The guest speaker mention taking 5 Engineering classes, last semester I took 11 and this semester 9. I study Electrical Engineering but still have to do courses in Statics, Dynamics or Fluid Mechanics. The Curriculum feels old and I believe we do not go as deep as we should when we do those courses. I am from Nigeria BTW
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  7266. i feel bad for the camera
    8
  7267. 고맙습니다 덕분에 고민거리가 풀렸습니다. thank you.
    8
  7268. I am also on the verge of giving up but trying not to🙃
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  7269. I recently started learning math again at 35 to go to business school, which is how I ended up here. I truly appreciate everything you do. Thanks so much.
    8
  7270. I'm from India, Love to see your videos as it's reaching out to people. I would love to see a detailed video about math concepts needed for computer science domain. That would help me as well as other people out there. Thank you❤
    8
  7271. I'd be interested in mathematician/physicist biographies. Would that be something you would be interested on making?
    8
  7272. i, like so many others before me, once thought that the math could sometimes lie. little did i know that indeed the math does not lie.
    8
  7273. Sir please make a video about books that open the doors to higher level mathematics.
    8
  7274. Congratulations! You always have a wide range of math contents and videos which I really enjoy👍
    8
  7275. Thomas was my Calculus & Analytic Geometry textbook from back the 1970s. If I remember right. That was a long time ago. ps, I have that textbook smell addiction, too. lol
    8
  7276. "We live in 2020, google the concept" My professor: You are not allowed to communicate with peers in any way, no online materials may be used for homework or exams. You may only use my script I made and our class notes. Story of my proofs class
    8
  7277. My concentration dwindles at some hours of day. I would hate that to happen on my exam days. Well, I am studying maths for myself, but not for exams.
    8
  7278. You are the reason why i want to be a math wizard
    8
  7279. Really appreciated this video. Online university has me completely lost, didn’t realise how much I relied upon the physical lecture theatre. This video, and others, have really helped me in feeling like I can actually compete with some of the others in my course. Thank you
    8
  7280. I love the enthusiasm in your lectures! Keep up the good work!! Can you please upload your lectures of pure areas of mathematics, i.e., Analysis, Abstract and Linear Algebra, Topology? YouTube clearly lacks good videos for these topics.
    8
  7281. Jeff Bezos is hosting today eh?!
    8
  7282. Why is this video so heavily downvoted? 19 likes and 186 dislikes. Strange.
    8
  7283. You don't know how much I needed this video, thanks a lot for this.
    8
  7284. 13:25 "Functional Analysis - Yes, in theory, you could learn this stuff." Carefully not showing too much confidence in front of a functional analysis book - wise.
    8
  7285. This man's walls are math books. It is amazing!!!!
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  7286. I can't thank you enough that you helped in my differential equations if you haven't made videos on it I don't know how could I prepare myself for the exam thank you so much keep making these videos <3
    8
  7287. We all have to climb up the Learning Curve.
    8
  7288. I was considering a double major in computer science and mathematics but considering the fact that my ADHD impedes my learning process in maths... (I really like math so i put a lot of effort) I think computer science is suits me more. :)
    8
  7289. Man, I would like to be independent soon so that I can have a math bookshelf like that.
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  7290. bless me
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  7291. Hi thanks for the vid it cleared up some concepts for me. But i'm a bit confused because i think i've seen some cases where say, people write ln(x) : R --> R Wouldn't this be incorrect notation because we need every element in the domain (R) needs to be mapped to something in the codomain but obviously since ln(x) only takes positive inputs this is impossible? So would this mean that ln(x) isn't a function from R --> R but actually R>0 --> R (positive reals to reals only) ? Thanks!
    8
  7292. "It is easy"
    8
  7293. Well... sometimes you have no choice. And learning how to deal with the inconvenience of a bad teacher is just as good for one’s growth. But yeah... If u can select at least a few good ones at least you lower chances of several bad ones
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  7294. I'm a grad student and I reference this book just about every day. Absolutely mandatory for anyone going into pure math, especially functional analysis. The authors have a pretty clear bias towards analysts, which is great for me! It is my second favorite book on my shelf, next to Christopher Heils "A basis theory primer."
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  7295. Thanks MS for another question. You see once the shift gets over, I definitely need these type of questions to refresh myself.
    8
  7296. Waiting for the video entitled, "Getting Jacked at Math!"
    8
  7297. Yeah 110% correct. I had a friend which was an odd one in my classroom and was bit kind of genius. Talk too less and always found to be solve math problems. He passed RMO(Regional Mathematics Olympiad) and selected for IMO but failed in it. But still he is trying. This is urge of most successful people
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  7298. Super clear.
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  7299. Your passion for mathematics is inspiring!!! I'm going to start a masters course in math, i'm scared...
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  7300. please don't response this is awesome haha
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  7301. Sadly it is too expensive here.
    8
  7302. Basic computer operation knowledge starts with machine language, then advances to assembly language, then to C language, and then on to higher concepts and languages. Musicians may start with intervals and notes when beginning music theory study at a piano keyboard, then advance through skills, ideas, and compositions to the higher levels of musical accomplishment. The analogy with mathematical set theory is no accident.
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  7303. Interesting that the Math Sorceror mentions Halmos. Some years ago, "I read I Want to Be a Mathematician: An Automathography in Three Parts" by Paul R. Halmos. One of the things that made me pause was that although Paul Hamos himself made contributions in mathematical logic, he seemed to be somewhat diffident about the endeavor. Not sure I can put my finger on his uneasiness with it. He seemed almost apologetic about it. (My memory though may be foggy here, and in any case, Halmos mentioned it in only a few sentences.) At some point, the study of logic becomes less about mathematics and more about philosophy, IMHO. While we are on the topic, I really liked Susan Haack's Philosophy of Logics. (It is a philosophical question whether there is just One Logic, or whether there are multiple logics!)
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  7304. As a computer programmer, I hated how a language or a platform was not necessarily created for the betterment of computer science, but for the betterment of the wallets of the stockholders of that company: Microsoft, Sun, Google, etc. There were constant changes made for the purpose of enabling a competitive advantage. Some found these changes exciting. I considered most changes as a pain in the a_ _. When I switched to teaching math, I told people exactly that same thing. Math never changes. How many areas exist today in STEM or in the medical field where the content is the same (at the undergrad level) from x years ago?
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  7305. I don't know much about higher level math but what makes it cool for me is there's a level of perfection (Which most other subjects seem to lack) in it, ye know?
    8
  7306. OMG it's a video about me
    8
  7307. Thank you because tomorrow I have an exam in engineering analyzes in Laplace’s Laws and now I understand Laplace’s Laws 🌷🌷🌷🌷 from Iraq
    8
  7308. IQ is just a kind of knowledge. We can all acquire knowledge.
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  7309. When I decided to start learning math again and needed to review everything, this is one of the books I used. I love all the "Everything You Need To Ace" books. I'm thrilled you gave it a shoutout.
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  7310. was looking for something like this ... thanks sorcerer ✨
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  7311. started watching your videos now i cant stop everytime you upload new videos. keep going :D
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  7312. There is another text with the same name by Smith, Eggen, and St. André. The publisher is Cengage. Be sure not to mix them up.
    8
  7313. do you know if hes going off of a specific book, my prof rn isnt teaching and expects us to learn from the book and i think this guy might be using the same book lol
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  7314. So clear and this function is so cool I wonder y people give respect and attention to trash like Kardashians but not this super cool mathematics
    8
  7315. 'Jump in and swim with the sharks!' - new Nike slogan.🦈🦈🦈
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  7316. The title "Finite-Dimensional Vector Spaces" sounds a little threatening: "When you're done with this, get ready for INFINITE-dimensional vector spaces."
    8
  7317. Great video as usual, no problems with the streaming. Best channel on Youtube M.S. thank you.
    8
  7318. Exactly.
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  7319. I think being a genius is (a little bit( made up. I’m a teacher, so maybe I’m biased, but I’ve watched my kids excel and struggle with different topics, and while some of them pick up things very quickly, all of my kids are able to pick them up eventually. Some people have sprint smarts and some people have a marathon smarts. Both are good, of course, but I like it when we highlight those with marathon smarts.
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  7320. I'll get there one day
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  7321. My copy of Basic Mathematics actually just came in today, fresh from Springer. I did a full calculus series in college 20 years ago, but time has not been kind to my math skills and they have fallen embarrassingly low. Am hoping to work through first this and then Langs "Short Calculus" to get back up to snuff!
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  7322. Finally !! This was the sort of video. I was looking for
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  7323. I absolutely love this book, I've got the 9th edition which includes some sections on numerical methods, statistics and some probability. It is a very very handy book fors elf-study and reference for general undergrad engineering students :)))
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  7324. "Get tons of books, they are super cheap..." is that some parallel universe?!
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  7325. Sir let tell you that i live in Egypt and i study math at faculty of education and i take 6 math courses plus 3 Educational courses (cuz im a teacher) and i am a full time student the system here is soooo dumb i barley keep up its just too much to handle
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  7326. Greetings Mr.Professor, Thanks for the Sincere Efforts in bringing out the Overview of Mathematical Expert Applicant Exam from U.S Navy. Good one.. Take Care.. With regards, RanjithJoseph (R.J)
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  7327. I can improve my maths from start to finish but All I need is Time .
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  7328. Awesome happy life! That's how every mathematician should live.
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  7329. How am I supposed to know that y*2 + x*2 is a circle?
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  7330. Good book but I still prefer Rudin if you are somewhat familiar with the intuition behind analysis for the sheer reason that there are virtually no solutions available for Tao’s texts. This is problematic as Tao leaves a sizable amount of material for the reader to prove. He is, however, great at building the intuition.
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  7331. I watched your video and decided to get the book for myself. I can not explain how giddy I was when I got it. It was the first workbook that I began using the day that I got it.
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  7332. respect to you sir you always make things clear all the way from Africa
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  7333. Someone should translate this awesome book in English. It would help thousands of students practice the harrowing algebra problems.
    8
  7334. This was really easy, should I feel proud I pulled an A from my scholars Calculus 1 course at my CC? Which rises the lingering question are CC underrated?
    8
  7335. Suggest me some good books on statistics and probability
    8
  7336. Okay, this inspired me to start studying Mathematics from the start again. Like literally from the very basic multiplication up to the hardest topic. However, I'm currently enrolled in online school and two online class (coursera). I don't know when can I start but I hope I'd find time to finally do this.
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  7337. Just love watching every video you make...
    8
  7338. Thank you for this review !! Now i'm even more excited for my copy to arrive ^^
    8
  7339. Is it just me or is the background is overly crooked.
    8
  7340. RIP ears I was wearing headphones
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  7341. you are the savior to people like me who study for exams in the last minute
    8
  7342.  @joelentrup1246  he only scored 125 because of the language section in the test which he did not have great aptitude for
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  7343. Hello math sorcerer I don’t think you will read this but I have seen you show books on many topics, however I haven’t seen you show many books on geometry and none in geometry that is above high school. Could you show some books in differential geometry or in fractal geometry someday?
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  7344. hey I love this vlog format because it has a lot of math in it (not sure why I was expecting otherwise in this channel though) and I also like your method of grading
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  7345. I have a test in 45 minute, you are a life saver. I don’t know you but I feel like giving you big hug 🤗 for your helpful video. Thanks a lot
    8
  7346. Both Calculus and Analysis by Apostol are all perfectly written. They are so good.
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  7347. not only american students your words can be apply to all students around the world.
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  7348. very good video there are very few ppl who explain this with a easy speech pls make more math videos !!
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  7349. fun means doing 3-d projectile motion in polar coordinates.
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  7350. How can you get in trouble for turning in the same homework for maths?! Like, how do you solve a math problem "in your own words" or show any kind of individuality beyond just the way you write?
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  7351. Yeah that's the way it works at my school too. I took chemistry 1 and 2 for my science credit but in hindsight I probably should've taken physics since I feel it's more "mathy" than chemistry is. Still was fun though! It's important for a math geek to know a little about the other stem fields.
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  7352. This is good solid advice. I'll just comment that the tricky thing about calculus, is if you are good at algebra , trigonometry, and know all your functions and graphs. Then you will make your calculus journey less difficult. If you know just 2/3 of the preceding math subjects you've taken. It will make calculus a bit more challenging. So yeah, its best to master algebra and trigonometry techniques. Makes the math life nice.
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  7353. I failed calculus I and II after repeating both classes I couldn't believe why I failed in the first place, it took me 2 trimesters to get that
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  7354. I could use this advice. I love engineering dynamics because I have a strong foundation in calculus. I hate solid mechanics because I don’t understand like the basics. Stuff bend and idk what to do. Stuff moves and I understand that! 😂
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  7355. This is it.The legend teacher.
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  7356. could you share you opinion about Serge Lang's Algebra book ?
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  7357. I m currently in university taking analysis II and I m struggling so much, I m so bad, I dont even know how I passed analysis I in the first place. This motivates me that if I work hard I can still manage to get through this course... Its just really rough when you re unable to do harder derivations and integrations and don`t understand 95% of the lecture...
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  7358. Nice work. I enjoy this approach because it shows "out of the box" thinking as opposed to simply rolling out the normal methods. I'm not sure if Marco Lopez here is hinting at this.... But yes, it is quicker to simply go straight to the DI Method of Integration By Parts by differentiating x^2 and integrating xe^(x^2). Math is fun!
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  7359. I made myself a maths 'Zero to Hero' syllabus to aid my career, using your book review videos This time round it doesn't seem as daunting but I'm going to be consistent and do a lot of exercises I'm excited to see how it enriches my work! Very cool that your first language is Spanish )! Thanks for all the resources and encouragement ) Don't give up!
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  7360. Do you have any recommendations for a student about to take ODE and Discrete structures? Really want to stay on top of things just having trouble on where to start before the semester begins.
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  7361. I will go to the ends of the earth to protect this man.
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  7362. I posted a comment a month or so ago about studying math 1 hour a day, Inspired by you, sorcerer, and Dr. Lex Fridman. I think it was day ~70 at the time. I just wanted to let you all know yesterday was day 101! I haven't missed a day yet! See you all on day 365!
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  7363. Getting a B in PDE’s. That class was a nightmare lmao.
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  7364. My greatest regret in mathematics is letting other student's successes be my failures. My grades suffered since all I could think about is how far behind I am compared to others. I'm shifting away from this mindset and beginning a Masters program in math in preparation for another round of PhD applications. Hopefully with an acceptance this time😁
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  7365. Thank you- My lecturer took 1 hr to explain this and failed. You took 1min to do so. Really appreciate it.m
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  7366. I miss the positivity from your class. Definitely feel like this video was aimed at me. Thank you for making this!
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  7367. Hi @TheMathSorcerer. Would love a video about the pathway you recommend for learning Math. Learning math by myself, already finished Real Analysis, and currently doing proof-based linear Algebra. Thanks!
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  7368. I will try my best to not say “I’ll finish this later” for this video
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  7369. Most of the topic in this book is taught in high school in India.
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  7370. That's a good logarithmic problem you picked out to work through. Mr. Baldor would be proud of you! We kind of blew through logarithms in my first college algebra course so didn't spend alot of time on them. I did learn an applied mathematical application of logarithmic function is the Richter Scale to measure earthquakes. Thanks for another great video, and the workouts are paying off 💪🏼
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  7371. purchased a ton of your classes on Udemy. You're the best teacher ever
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  7372. A technique that works for me is that when I self-study math by watching videos, then I will turn on the closed caption and write down what the professor is actually saying. I obviously have to stop and replay the video a lot, and watching a single video may take a few days. But it works for me. I've been doing this with Dr. Gilbert Strang's MIT Linear Algebra videos, and have been learning more on my own than when I actually took the class at my university for credit. Now I feel like that all I did was throw away money when I took linear algebra at my university.
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  7373. Thank you for emphasising the hard work that goes in, there's such a societal discourse around "maths geniuses" that really affects the perception. Such an interesting video and comments. I worked so hard at GCSE maths (exams age 16 in England) and wanted to get the top grade but couldn't (and I get quite bad 'maths anxiety'), my husband on the other hand barely had to put any work in to get the top grade and he took Maths A Level (17-18yo) early. I find it so interesting how these books look like they're written in a different language but if you can't read a book in a foreign language you'd never say "oh you're clearly not smart enough" we'd say "oh you just can't do that yet but you could if you wanted to". Similarly people who aren't good at English Literature (like if they find it hard to write essays on books for example) don't get told they're not smart enough (not commonly anyway, I'm sure someone somewhere has been!), It's just "oh they're not very interested in that". But if you keep getting questions wrong in maths it's like that says something about you and your value intrinsically as a person. Anyway I'm still not good at Maths (I find fairly basic algebra hard tbh) but I'm still trying, just to try and learn something new.
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  7374. I'm Physics major undergraduate student in South Korea and in this semester I took 3 clases in Mathematics. Your video really helps me to get better. Thank you!
    8
  7375. So glad I subscribed! :D
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  7376. One day I wish to own as many math books as you
    8
  7377. Also want a videos for chemistry.
    8
  7378. albu obscure I painted my wall with a special paint that makes the wall becomes chalkboards, and I do my math there when I teach some of my class mates cuz I guess they understand by someone of their age, also I do leave my chalkboard full of the equations hahaha
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  7379. The best advice I've heard in quite a while!!! Thanks lots, MS!!! Your sorcery is the BEST SORCERY!!! :) :) :) :) :) :)
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  7380. It's the numerical answers that are needed so you can check you've got the sum right right. Not so necessary for a proof / derivation as the answer (the thing you're trying to prove / derive) is stated in the problem. From a UK perspective, the only thing that counts is the end of year exam, not progressive assignment grades, so there is no incentive just to copy an answer to get a good homework grade. (in my experience, UK books normally provide all the numerical answers). Also why sell separate solutions manuals to instructors? If they are so f***ing clever, the instructors shouldn't need them.
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  7381. I hope I knew this 5 years before.
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  7382. well i like long lectures i enjoy it and this was definately the feast for me thank you so much❤🧡
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  7383. The book I used to learn real analysis was understanding analysis by Abbott have you seen this book before?
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  7384. I believe it is about passion. I used to suck at science and math but as soon as I started appreciating and getting more interested I started learning faster. I think people who are smarter have more of a passion for the subject and topic and no one is born smart or with a brain 200x larger then everyone else’s. (I hope you see English is not one of my passions from my grammar)
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  7385. I relate to a lot of what you said. I also remember bizarre things about the books I've read. Like when I was self-teaching differential Geometry and the author said "this formula looks complicated but to convince yourself that it isn't and how useful it is let's use it" to which I replied "sure" and then did it and it was very cool to me
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  7386. Im in love with math literally for no reason ❤️
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  7387. Used a number of MIR books at A-Level at school in Northern Ireland in the 1970s because they were cheap.
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  7388. Awesome advice. One thing I've learned about trying to live up to parents' expectations, is that their expectations for you are formulated as if they're playing a Sims game. Usually very idealistic and very unrealistic. Always best to advocate for your own limits and abilities.
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  7389. Your upload came at a great time for me. I had to drop out of my math class and I m going through some personal issues. I'm happy your video for inner peace came at the right time. Thanks for another inspiring video. Keep it up! =)
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  7390. Math Sorcerer, thank you for this. I’m revisiting math at a late age 67. It’s a great subject and I’ve learned a lot from you.
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  7391. I've struggled with Math since I was younger and I feel like this really helps. Keep up the good work.
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  7392. I am grateful for watching this video. Because I think I am a very stupid person because I need a long time to understand mathematics
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  7393. Series were hard in calculus 2 because they came toward the end of my fall freshman semester, not because the math itself was inherently hard, and it was just a lot to keep in mind with all of the other science classes. Once they came up again in differential equations, they weren't that bad, and in complex analysis, they finally made complete sense as I had more experience writing proofs and doing page-long calculations with inequalities.
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  7394. You are a funny man. Thanks for help with my homework!
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  7395. I have that book as well as Gilbert Strang's. Strang is also a professor at MIT. Strang's book is more humane, plus he has a whole LA course using his book on YouTube. For myself, I've always found that getting an understanding of concrete examples and computations first, made learning the abstract ideas and proofs easier. Trying to understand the abstract first is much harder. One thing I've noticed about H&K. In the Jordan decomposition section they put the generalized eigenvectors is the opposite order of most other books, which causes the order of the Jordan blocks in the Jordan matrix to be different. Another book on linear algebra I just got, uses n×m matrices, rather than m×n. So, in the SVD A=USV*, you get U as an n×n, S as a n×m and V as a m×m, instead of the other way around. Stuart's book from 1973, even has the SVD as A=VSU*, which can be really confusing. Here I used S for capital sigma.
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  7396. recently got gifted a calculus book. it's way thinner than i expected! probably because i'm in the philippines and this book was intended for students on a budget but it's four hundred pages compared to the stewart books at our library which were really thick like thousand-page books. still have to finish studying algebra and trigonometry though because i don't get the first few chapters and the exercises
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  7397. I must say I deeply appreciate your video's. I have a simple question, what if your curiosity spans many fields, how do you narrow down your intellectual query into a manageable and profitable endeavour. Sometimes what we love the most are not viable.
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  7398. Quality content my mans
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  7399. This is funny. I remember playing Yu-gi-oh cards with my friends back in the day and it is my favorite anime. And while I love rewatching the card game matches on the show, I thought about how can math be as fun as a card game or board game where you use mathematical ideas to outsmart your opponent. I think math really needs a game to help it come alive for everyone.
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  7400. 15:50 this book changed my life.
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  7401. PhD student in Philosophy here. I'm teaching myself calculus, and I found your channel to be one of the most useful resources!
    8
  7402. Now make a video on books of mathematical logic!!
    8
  7403. Just want to say that this video is absolutely fantastic. It is concise and well explained! Good job!
    8
  7404. This is a fact😅every student needs news like these
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  7405. Whoever disliked this video is gonna have to take it outside with me!
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  7406. dear great math sorcerer, how to find zero of x^2+5x+6
    8
  7407. you factor...(x+2)(x+3) therefore the zeroes are negative two and negative three.
    8
  7408.  @generatorrex484  I was a chemistry major but eventually got a degree in Math, I also played Varsity Intercollegiate soccer at Cal.
    8
  7409. First of all. Fantastic book. Secondly, the struggle is real. We had baby Rudin. That might as well have been written in Chinese when we started the class. But we all developed extremely far by the end.
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  7410. really enjoyed your teaching sir!. We want you to upload more of your lectures. May God bless you.
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  7411. I really love self studying and I had having classes. Of course, since I like studying I do well on my tests, I may not be the best student but I tend to remember for a longer preriod of time. Usually I tend to overthink problems and on exams we have a very retrictive amount of time, at lest in economics, and I really hate it. I do love studying math, and I've studied from Linear algebra (formal Linear algebra) to Fuctional Analisis or Topology and Abstract algebra all by my own, math is the only subject I've taken that can give a real feeling of satisfaction (coding also feels quite good). I have a racional love for economics and a passional love for math . (I love my boyfriend too, but that is another story)
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  7412. Just focus on working hard every day, forget about the noise, each person follows a different path and that is what makes life worth living. Stop comparing yourself to others and just focus on yourself. Now, ask yourself this: Will I regret not taking this decision in the future? Will improve my life? If the answer is yes, go for it!
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  7413. My dad has the book by John Beachy in his bookcase!
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  7414. Yes... This is my favourite book♥️ 📚
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  7415. Another one in my library. Made many a purchase from Dover over the years. Only use as reference. Complex Variables is one of my favorite courses I ever took.
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  7416. There's probably a time limit due to time constraints for any given class. Unfortunately, there is always a class after yours that needs the room, so letting students take more time that what the class allows for would be awkward while the next class begins.
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  7417. I bought the 4th edition of this book based on your review! It's sooo cool!! Even though I've only completed Calculus lll, and I'm in Linear Algebra right now. (Btw my copy of Klaus Janich Linear Algebra got delivered yesterday!!) I studied Ch.1 "Logic" of "Transition to Advanced Math" by Smith, Eggen, & St.Andre all on my own, everyday, like the Bible, then I took an "Intro to Logic" Course in the Philosophy Dept actually!!!! (AND I would highly recommend that to anyone who struggles with proof-writing!! Believe it or not.) We used "Intro to Logic & Critical Thinking" by Merilee H Salmon, 6e in there, and, also on my own, I watched EVERY video by Jim Pytel of Columbia George Community College on Logic Gates, Karnaugh Maps, Sum of Products, Products of Sums, and it all stuck. I have no interest in Computer Science or Physics, I worked as a CAD Tech in Industry and as a Draftsman back in 2003. (I was also a music major lol, Bass,) but yeah, I'm in this for the Pure Math experience!! But you know what frightens me? Logic and Matrix operations are very easy for me. I want to work on something infinite and curvy (and stretchy maybe,) with NO practical applications in the "real world." That would be awesome!!!! But I suppose I would be happy if I could shed a little light on any branch of Math someday. P.S. I also got "Differential Equations & Linear Algebra" 4th edition (1book) by Stephen W. Goode & Scott A. Annin. (I like Matrices, but I miss Derivatives & Integrals) Gotta go, my Zoom class is starting. Bye!
    8
  7418. The helps me a lot !! I used it and pass my math exams
    8
  7419. This book is pretty much a meme (in a good way) in the internet programming community. I always wanted a copy and couldn't anywhere in my country. I'm glad I was able to recently get hold of a copy of this book with the ANSI C version. And yeah, it is a tough book. I unfortunately couldn't 100% it, but it is still great to own a copy. Every programmer should have a copy.
    8
  7420. Suggest us the best books for compiter scientists and specially for C++
    8
  7421. I have the Woods and Bailey books on Calculus, they are also very good if a bit more technical than this one. All 3 are excellent, with the addition of the contemporary "IEEE Calculus tutoring book".
    8
  7422. I have Math PTSD
    8
  7423. I have had good luck using Alibris. The stated condition has always been accurate. In fact, sometimes they are in better than stated condition. Also, the local used book store. I just found a copy of Calculus and Analytic Geometry by Thomas, Third Edition, Second Printing for less than $10 US which I wouldn't have picked up except I saw your video.
    8
  7424. This channel is literally the best channel for math. Advices, courses, damn this guy goes hard at math and I'm loving it. Thanks for the videos man, really appreciate it.
    8
  7425. Thank u sir. your videos are very informative for me as a 1st semester MSc Math student❤️.
    8
  7426. Inspirational!
    8
  7427. Talk about India old mathematician And and Indian Holy books inside Mathematics ❤
    8
  7428. Finishing my degree in physics, I also needed to hear that. It's uplifting
    8
  7429. U look like newton
    8
  7430. OUR plane is the best plane <3
    8
  7431. Beautiful collection! I have many math textbooks as well from my college days. My oldest one is from early 1900's by G. H. Hardy called A Course in Pure Mathematics. The problems are quite challenging.
    8
  7432. Needed to hear this--A lot of math going on right now and God do I need a break
    8
  7433. Really cool proof,I really enjoy it when you actually do these problems,hopefully you can do more problem solving examples from these books that are no longer in print,really appreciate it,Thank You!
    8
  7434. I greedily guard my Apostol books. His work with The Mechanical Universe television series and the MU text got me interested in Mathematics.
    8
  7435. I lot of my role models are dead physicists, especially Paul Dirac since he reminds me of myself a lot.
    8
  7436. Conversely, you can consider this "The TA's guide to working less and having quieter office hours". Disclaimer: method application may or may not be also proportional to the number of death threats received per semester. Great video :)
    8
  7437. Calculus = Integral and DIfferential Calculus, on Reals or Complex Numbers. Real Analysis = the Analysis of Real Numbers. It contains Calculus of Real Numbers but goes far beyond (eg. it discusses the construction of the Reals whereas Calculus just assumes their existence). Measure Theory = Analysis (especially of the idea od "size") of arbitrary real sets (one can see how this neatly relates to probability theory as in larger = more probable).
    8
  7438. Boom this is how the pros do it! Love it. 😂❤
    8
  7439. Colleges are in business to make money. That's why you have to take classes that have little to do with the degree you're going for. Books and other things you need for class add up to thousands of dollars real quick. The full time commitment you have to put in to homework makes it difficult to have a job. My advice is to go right out of high school if possible and live with your parents. Hopefully you can get a job that's worth it after your schooling is completed.
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  7440. Did she get her Ph.D. in biology or math at 60?
    8
  7441. I think the answer to which is harder, DE or Calc 2, is, that depends. My first impression of Diff EQ was that it is a bag of "tricks" and "guesses" you had to pull out of your hat to solve the equations. To a certain extent this is true. If you knew the trick, you could solve the problem. If you didn't, you were out of luck. When they got into existence theorems and application derivation it got hard. It wasn't until later that I learned that most Diff Eqs can't be solved in closed form, using elementary techniques! Most are solved using sophisticated numerical techniques on a computer, which is another whole subject in itself. So, Calc 2 is harder, until they get into the existence and uniqueness theorems, in my opinion.
    8
  7442. If you want to study something you really love take the risk and you will be happy , i did not risk . I study economics . Not my first choice but i was accepted there. I really wanted to study Statistics and Financial Mathematics but the uni is very far from my hometown . So you have to consider not only what you want to do but were you can study , the cost of living and the uni. I wanted so much to persuade my parents to go there but i was very shy.
    8
  7443. I studied mechanical drawing in high school and that helped me understand trigonometry. Mechanical drawing helps any student think trigonometry outside his or her box.
    8
  7444. How to stay focused when nothing is going right?
    8
  7445. It's official. He is now the rep sorcerer!
    8
  7446. Hey Math Sorcerer, sorry for the off topic question, but what texts do you recommend for Multivariable Calculus? I'm heading into that course for the first time this fall and I want to rock it!
    8
  7447. Who's watching in 2024? 🎉
    8
  7448. Beatiful video, for the past 3 months i worked on pre algebra, college algebra , geometry and trigonometry. I moved on now to calculus and its quite alright 🤞 This videos do help out a lot
    8
  7449. Now, I am here revising studies of derivatives this week. 🙂
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  7450. This is so true! I loved my calc classes, my prof made them so great. But when I took linear last semester and I had this same issue because it became a class of “here’s a book, email me with questions” since we were technically “online”. I passed but I still don’t feel confident in it, so now I’m trying to catch up and teach myself linear to a point I’m comfortable while learning diff eq and a whole mess of other classes.
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  7451. Indian engineers left chat😂😂
    8
  7452. Vladimir Arnold book is also pretty good. It is a bit too rigurorous so it is not good for a first course, but i recommend it for everyone
    8
  7453.  @TheMathSorcerer  I don't disagree especially if he came to see the modern mathematics with all its glory.
    8
  7454. Was checking intro to calc vids and stumbled across a very new video lol keep being a great teacher for my georgia tech journey these next few years!
    8
  7455. I talk to myself does that count..?
    8
  7456. Thanks professor. I'm a 2nd year undergrad and I'm slowly realising that this is one of the most important things to do with math. Great advice!
    8
  7457. How I love these genius video series you make. The advice you give is literally the best.
    8
  7458. "I want you to write an essay on your feelings towards algebra."
    8
  7459. One hing to keep in mind; there is no book, which will greatly help any investor. In my view, I would say, learn some financial economics, and investigate issues which drive financial markets whether or not you will use them. The "think for yourself" part is good advice not only for investing.
    8
  7460. Three weeks ago I found your channel and since the very begining I loved it. I think that this video is pretty good, even if I'm not studying to become a Mathematician, but a Physicist, indeed will be awesome if you do a video like this but dedicated to physics. I understand that maybe you are not expert on that, but maybe you know someone that can helps you with that.
    8
  7461. This channel is definitely a godsend! ❤ Thank you!
    8
  7462. Have you done a collection of books covering basic to Advanced stuff specifically which have answers in the back?
    8
  7463. seen this on my math sheet and said oh hail naw
    8
  7464. I study math every day so that I don't regret
    8
  7465. please make a youtube series or a udemy series on calc 2! that would be so beneficial to a variety of calc students. thanks!
    8
  7466. cheers mate
    8
  7467. Extremely interesting comment.... Thank you.........
    8
  7468. Your videos on epsilon delta for multivariable functions saved me on my calc 3 quiz today so I have subscribed.
    8
  7469. Thanks a lot for this video:) But one question how would I prove this formally, any hints would be appreciated. Thanks again
    8
  7470. That's what my eyes saw too. I was like wtf! Lol.
    8
  7471. I've been stuck with an ODE all day, and this really picked me up!
    8
  7472. "I have to smell it' instant subscribe!
    8
  7473. Lmao stop dating. Date math
    8
  7474. Please guide me so that i can study mathematics atleast 2 hours daily
    8
  7475. I was just trying to study with zero motivation right now 🫶
    8
  7476. Off topic, but is the math sor. getting jacked?
    8
  7477. this was the video that finally made me learn this, thank you!
    8
  7478. At my school, we have a linear algebra course for engineers and a linear algebra course for math majors. The latter course uses Fried, Insel, and Spence, and it is known to be a very notoriously difficult intermediate course at our school lol. About half the class drops out. Of those half who have survived, half of the people either get F or D, and less than 10 people receive an A in that course.
    8
  7479. Please don't give up! I gave up on my physics undergrad and its my biggest regret. You are already so far to give up now, you're a part of the top echelon of people in the whole world, KEEP GOING!
    8
  7480. Also . You are authentic. In my life I see lots of fake people. I’m in retail as you have already guessed and I see about 50-300 people a day. The amount of bs they produce is incredible to me. The authenticity is hard to find. Thank you. You are a gem. Like a real gem.
    8
  7481. Merry Christmas everyone. God bless you all.
    8
  7482. has to be mathematical proof, ever since highschool - for me - math quickly got very unintuitive, but studying a mathematical law proof or proofing a certain mathematical relationship makes it so much easier to grasp and work with
    8
  7483. Is this book on "Discrete Mathematics" a self-contained book (everything you need to know is already discussed in the book) or do we need to understand certain other topics that are not discussed in the book but are necessary to understand the topics that are discussed in the book? To put it another way, what "outside knowledge" not discussed in the book did you use when you were studying the book?
    8
  7484. Are expensive graphing calculators still necessary these days, or are free apps and websites just as good?
    8
  7485. The camera isn't quite focused enough for me to read the titles of the wonderful books that you have in the background, although I know from other videos what to expect since you went through them. Still, it's fun to see them.
    8
  7486. Great video. I have a Plane Trigonometry book, my grandfather's, from the 40's, when he worked at Union Carbide. No cover, just pages of the book. Very delicate.
    8
  7487. funny how education actually closely works like this even without jeff as the head
    8
  7488. This isn’t related but I hate how I’m so academically smart but I have literally no emotional intelligence, social skills, or wisdom
    8
  7489. All hail the math sorccer !!!!!!!!
    8
  7490. As this video is coming out I found out I got an 80% on my calc 1 limits exam
    8
  7491. Thank you sir I really appreciate you sharing your knowledge it is helping me grow in my mathematics
    8
  7492. I feel like one final statement is missing after solving the limit. I truly believe my math professor would have taken a point away 24 years ago for not stating something like: “since P = 1/2 and P < infinity AND P != 0, we can say that the infinite product converges to 1/2”
    8
  7493. So most math professors check a few of these boxes, but I had a calc 4 peofessor the litterally did everything described in this video, and he was even worse because his hand writting was completely illegable. After 2 weeks almkst no one bothered to go to class so he started doing in class quizes to force us to come. I remember one day he ranting about how we all think he's stupid but he's not. I said, smart people don't have to tell others that they're smart, whike his back was turned and the whole class started laughing at him. I think he knew it was me who said it, but surprisingly he didn't do anything.
    8
  7494. I'm willing to use black magic and even weird crystals, anything you want. But I wanna get better, that's for sure
    8
  7495. The Central Science
    8
  7496. I LOVE vintage books, old-schooled stuff. I saw PDE mentioned in books and sites. Only now, I know it stands for Partial Differential Equations. I will buy few PDE books after Christmas, probably in February or March.
    8
  7497. Whichever you can write faster with
    8
  7498. Someone lend me a book with almost the same cover, in Spanish, when I had to pass a History exam at the university in Argentina, years ago... That book was impressive and I got a 9 (scale 1 to 10)... Old beautiful soviet books...
    8
  7499. I still remember the passage in the chapter about series where he compares two similar series 1) Sum of 1/n*ln(n) and 2) Sum of 1/n*ln^2(n) first of which is divergent and the other is convergent. Then he compares 1) Sum of 1/n*ln(n)*ln(ln(n)) and 2) Sum of 1/n*ln(n)*ln^2(ln(n)) where again first is divergent and the second is convergent etc. And then he says (I don't remember exactly, it was long ago) "One might think that there is boundary between these two families of series but actually there is no such thing." I didn't know how to react to and what to say after this because it was both inspiring and disappointing at the same time!
    8
  7500. Cal 1: A Cal 2: A Cal 3: A DE: B+ // Biggest Factor is the Professor. However, most math professor are very good and genuine people. //However, some professors(mostly physics) are out to get u.
    8
  7501. Another excellent video. I'm the wrong side of 50, being made redundant in two weeks and have had enough of working in jobs I have zero interest in. I'm going to change it.
    8
  7502. Math sorcerer the man that lives with zero regrets.
    8
  7503. the smarter you are the harder you work and in fact you should work! i have known much smarter people than me (both professors and fellow students) and they were never exempted from this - not to confuse effort in achieving good results with time invested in learning. at the very least you should work hard to make sure you are right and not missing nuances let alone the obvious!!!
    8
  7504. You don’t need solutions for questions that are proofs, you will know it’s correct upon finding the proof. This ain’t computational algorithms class
    8
  7505. I needed this, thank you. I have a tendency to over exaggerate the amount of work I need to do in order to do well on a test. This discourages me from actually doing the work because it's such huge a mountain to climb. When in reality, that mountain is just a hill.
    8
  7506. tu canal es genial y único, llevo viéndolo desde que empecé el grado de matemáticas y sí, I wish my teachers made jokes and stuff like that because there's room for everything in class and math is also a lot of fun at the end of the day
    8
  7507. 4:53 “Size does matter” Me: Damn… 😔 The Math sorcerer: …for graduate schools Me: So you’re saying there’s a chance…
    8
  7508. I started studying calculus in 1967, before this book came out. That must be why it was so awful hard. I did pass though and later found partial differential equations a lot easier than "limits".
    8
  7509. A perfect Vector Analysis book from the same era is the one authored by Davis and also the same size!
    8
  7510. For the love of all that is good, don't forget Pinter's Abstract Algebra.
    8
  7511. It's not unusual for me to work through a longwinded and complicated problem, get a sensible answer that works, but then have absolutely no idea how I got there. This is a bad thing.
    8
  7512. "Surrounded by Smart People". How do you define "Smart"? You can be very good at what you are doing and still be stupid!
    8
  7513. We call this the "sandwich rule" in spanish 😊
    8
  7514. The week before my first public high school teaching job, they passed around a form asking what classes you would like to teach, and what ones you'd rather not teach. I put down that I didn't want any geometry. I never liked it in high school. Had to take a college geometry class for my credential. Didn't like it then either. Well, guess what? Two class of Algebra I, and four classes of geometry! Anyway, after the first semester I over came my fear and loathing for geometry. The admin was having a little fun sticking the new guys with classes they didn't want to teach, I guess. Well, they actually did me a favor. Interesting how things work out.
    8
  7515. Sir,you are the best maths professor I have never seen in my life,and your thoughts are really beneficial, thank you soo much sir
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  7516. doesn't matter how old you are....math is math....spot on ms!
    8
  7517. Just to think if he never wanted to do Physics he would have been an amazing entertainer. Highly suggest you check his interviews and lectures out.
    8
  7518. Thank you for kind and very wise words. I am a Buddhist and I will give another Buddhist perspective why we need to be kind to others. None of us can escape aging, illness and death. And one of the biggest question people have on their deathbeds is “did I live a good life”(not true for psychopaths perhaps). The answer to that question almost always comes in the form of how we treated others (friends, family, co-workers and even people you met only once).
    8
  7519. This video was incredibly beneficial. I have a final coming up and needed help. I appreciate this so much. Keep doing great things. Thanks.
    8
  7520. Super helpful.. Way better than my Calculus teacher. Thank you very much
    8
  7521. Albert Einstein once said, "If you cannot explain it simply then you do not understand it well enough." Richard Feynman will hand a pen and paper and will ask the "expert" to explain to Quantum Mechanics as if you are explaining it to a five-year-old. Instructors matter a lot. Teaching, like acting, is an art. Everyone thinks they can do it but only a very few skilled ones can do it.
    8
  7522. I speak from an experience here. I have a bachelor's of electrical and electronic engineering. I find math major way harder because we only used specific topics in physics and math.
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  7523. Hi, math sorcerer i hope you haven't forgotten about my request on book for learn math start to finish but more affordable line of books elsewhere especially in india
    8
  7524. Epsilon-delta :)
    8
  7525. The quality of the typesetting is impressive for a textbook printed in 1888.
    8
  7526. I started writing "SPEED!" at the top of each math homework page. This is a reminder to move on and complete the rest of the assignment, rather than burn an entire day on one or two challenging questions. I think I will add, "Math Sorcerer!" as well because of the inspiration coming from these videos. Thank you.
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  7527. I do math in the gym
    8
  7528. I have had so many “cumulative” finals that turned out extremely painful to study for. I basically trust what I learn and only study the new stuff. Works well.
    8
  7529. Wise ol' Newton in the woods again...! Thanks!
    8
  7530. I 100% agree with your advice as for using more textbooks. I failed calculus in high school, in part because I wasn't studying enough. The second time around, I used multiple textbooks with more challenging problems and fully worked solutions. In this way, I was able to crush the class. I applied this approach with great success to many other advanced Mathematics classes at University. I majored in Applied Mathematics if provides anymore context. Thanks for the video
    8
  7531. I think it might be good idea to start only by two subjects then increase or decrease the number of subjects according…. It also could be helpful to look to courses in some university and just follow their syllabus…
    8
  7532. Wow that's pretty awesome getting to work in compiler research. That's a dream job for me as a cs grad.
    8
  7533. "Mission failed, we'll get em next time"
    8
  7534. Thank you very much....it came at the right time 👍🏻
    8
  7535. U better call Saul!
    8
  7536. Another valid technique with the same result is to use matching coefficients. k^2x^2 + (k+2)x +1 = a(x + t)^2. I won't go through the detail, but expanding the right side and matching coefficients you get three equations with three unknowns (k, a, t) and the solution does produce k = 2 or k= -2/3. However, the easier and quicker solution is as you presented and solve for the discriminant equal to zero. Great video as usual!
    8
  7537. Whoa and that's only the second volume! Do you think this calculus book was meant for a post-graduate program back then, or are calculus textbooks today just really diluted compared to what they were expected to learn back then?
    8
  7538. Thanking the most high for aligning my YouTube with videos my life NEEDS. Not distraction. Thank you for this msg, in a way it’s confirmation to my Big Dream coming to fruition. 🎉
    8
  7539. I am a musician and you are one of my greatest teachers in music despite you are teaching math. Thank you very much, I hope I will be a trustworthy student of yours.
    8
  7540. I give my students the same advice as well. The only new things here that I did not consider was speed of the "nirvana" that you speak of. I will use this video as part of my syllabus assignment when Spring semester begins. You nail all the key aspects of success.
    8
  7541. I think the trenchant topic to consider is brain energy, not age. Having a good exercise level, weight control, adequate diet, and plenty of sleep will optimize the brain's environment for better mental performance for math, languages, music, employment, etc.
    8
  7542. Your lessons are fantastic, learning more from you in one lesson than I learned all year.
    8
  7543. Some other recommendations to add, but it could be a little over the top, are books of machine learning. Pretty good free books, that can be downloaded free (and legally) are "Elements of Statistical Learning" of Hastie, Tibshirani and Friedman: this one requires advanced mathematics, similar to the requirements you mentioned for the Mathematical Statistics book, and is THE book to learn machine learning. But there are other book of the same authors, "An Introduction to Statistical Learning" of Witten, James, Tibshirani and Hastie that tries to be more about application of machine learning with less mathematical deep. Still is really good
    8
  7544. The great Richard Feynman
    8
  7545. Kreysig is the author of the most popular Advanced Engineering Mathematics text. Said text is an excellent text and reference. Eventhough Kreysig's Functional Analysis text was published in 1978, it seems to me to be the most accessible functional analysis text for beginners . The edition shown in your video is an international student's edition. The domestic edition is a brown text, for those looking for the text. As an added comment and heads-up, there are some great more contemporary texts on advanced linear algebra, including considerable functional analysis.
    8
  7546. Yes I am constantly challenged with this theme, it seems. So this video came at the right time. Thank you ✨
    8
  7547. i just found your channel and i just wanted to thank you. you’re an inspiration.
    8
  7548. I studied using the Complex Analysis text by Ablowitz-Fokas in 2002 at college, I applied to a Complex Analysis course then I remember studying a lot of contour integrals from that textbook. It was so amusing! :)
    8
  7549. I bought these two "One big fat notebook" after you mentioned both of them few months ago. Really great and cover a lot of topics. I currently self study mathematics by using the book "A Graphical Approach to Algebra and Trigonometry" by Hornsby, Lial and Rockswold, that you recommended in your video "Learn Mathematics from START to FINISH" from a year ago and I bought it after watching that video. Your most recent video, 4 month ago, on the same topic doesn't mention that book but I don't regret buying it, it complements very well your Udemy class on College Algebra. It helped a lot and was worth the price tag. Sometimes I feel I could spend hours watching your videos every day instead of actually self-studying mathematics 😂 I simply love your channel ! Thank you so much the Math Sorcerer 🙏
    8
  7550. Hii math sorcerer....😊
    8
  7551. I am about to start doing this!!!
    8
  7552. I'm in fucken tears right now. I've been working on my math homework for 6 1/2 hours today. Since 11am. Thank you so so so so much. I love you.
    8
  7553. Great advice as always. It never ceases to amaze me when students, myself included, don't take the opportunity to utilize their Profs. office hours. Not all of my/your Profs. are terribly useful but you've got to try and feel them out. Just saying it's a place to start. Cheers.
    8
  7554. Every waking second you are choosing what to do or think, and every choice you make is a vote for the type of person you want to be. You become what you vote for most.
    8
  7555. Thanks for all of your content. Helping me tough it out through Calc II in a 5 week summer semester.
    8
  7556. Another great video! An video idea: "new year Math resolution/goals" ideas of habits, goals and maybe your own habits/goals for this year
    8
  7557. I wish I had this in college.
    8
  7558. Why is the question from this video on my math homework
    8
  7559. Hey thanks for the method man I’ve just been googling these whenever they popup because I couldn’t properly formulate the question to look up; glad I did now this works perfectly
    8
  7560. Drop/Withdraw and take it with another professor.
    8
  7561. gracias amigo sigue subiendo videos , me ayudaste mucho
    8
  7562. Your video saved me hours of work. Thanks.
    8
  7563. I passed calc 3 right on the minimum acceptable score and it was one of the best days of my life
    8
  7564. this is probably the main thing stopping me from achieving my full potential. in my experience the only times when I don't get distracted/have any desire to do something else are when I'm stuck on a problem (often on a dumb mistake) that I know I can solve because it's part of an assignment or whatever, and I stay laser focused on it until I solve it. although when I solve it I go back to not being completely focused haha also sorry for the comment now you might get distracted by checking it
    8
  7565. Great book! Combines conversational and motivating language with hardcore rigour (at least if it's for a first course in calculus). I only studied the first 12 chapters during one of my summer breaks of university, didn't manage to get farther than that... Maybe I'll pick it up again in the future :)
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  7566. Thank everybody for sharing im almost 19 years old and I haven’t start my academic career yet, I was so stressed about it specially because a lot of people around me and my family believed in me and have high hopes for me, I won’t give up even if I have financial difficulties thank you guys for helping ❤️
    8
  7567. How about something like, I want to read this math book and understand 90% of the material? Another goal could be I want to understand this concept.
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  7568. "Life is a journey and we all start somewhere." To the person, take a look in the mirror. You are you. You, though similar, are not your friends. Don't compare yourself to them and think "it sucks". Use them as role models and ask yourself questions like "hmm, how can it improve in calculus? (or whatever X thing you are working on)". Having friends ahead of you should be a motivation, not a burden. As a math teaching major who in fact just finished my first year of university, I agree on a spiritual level that things get tough. I am proud that you found your love and passion for these subjects, so don't lose that joy by comparing yourself to others. The feeling of "being behind and never being able to reach a more advanced point of study" is harsh, I agree. It may feel like it takes away motivation. However, you need to remember that this feeling is temporary. Learning is a process and it doesn't happen overnight. You are already past the hardest step, which is the first step: getting started, so keep going. You will see yourself smiling when you do math and science eventually. Don't stop. This feeling is trying to push you to bring out your best. It is trying to bring change to you. Discipline is key, moving forward (especially self-studying as I will say more about that later). The feeling of "oh I am not good enough when I don't understand something" is something I dealt with all the time, whenever I encountered a new topic. It only stopped less than a year ago. It is common, but not good. You need to be patient with yourself. It will be a tough battle, and you will struggle a lot, but you will get there. When you don't understand something (especially a new topic), it isn't you being "not good". The act of struggling is simply your brain using a lot of power trying to digest the new concept. It isn't a bad thing, it just takes time. For example, I hear about a topic for the first time on Monday (for example, the concept of chain rule). For the first like 6 hours, I may be like "What is this? What do I have to do again? ... ". I read through more examples and discover patterns slowly over time and sometimes, I still have no clue the next day. But there will be a eureka moment, where it just clicks. DON'T TELL YOURSELF YOU'LL NEVER GET THERE. Don't say to yourself things like "I will never achieve X" or "I will never get to X level" in math or anything else. You have the ability to motivate yourself in a way that is unique. Keep going. You got this. The pain of discipline is a lot sweeter than the pain of regret. I got a gift for you. It's a legendary quote that my best friend (and gf) tell each other whenever we are struggling in math and that is: "You are stronger than calculus." Once you start believing in yourself and the good things in life, you will pop off and skyrocket, trust me on that part. :) Self-studying is a cool thing as I self-studied for AP Calc BC (as my high school didn't offer it). It was a unique experience. I have mixed feelings about it but I'd say in the end it was a worthwhile experience. Don't treat self-studying and studying (like after school) with the same mindset. Self-studying is like a relationship. The key is not intensity, but consistency. The key is not to do a lot in a day, but to do some every day. A concrete example, DO NOT solve 50 problems a day because it will get very tiring, tedious, and frustrating. Instead, do like a small handful (like 10) a day. The numbers I used are just to show the ratio, that's all. You should aim for an amount of daily learning that pushes your limits just slightly. You should feel like you are proud of yourself at the end of the day. This challenges you to become better. I cannot tell you what that amount is because you finding that amount out for yourself is part of the journey. Too little and you'll feel like you did nothing meaningful. Too much and you'll feel burned out. It is a marathon, not a 50-meter sprint. I could go on for hours about this, but I feel like I have said enough. In the end, I want to say that I am proud of you. You have the courage to already start, and that courage is admirable. All the best to you. Hope all is well in Montreal. In a few years, you will see yourself looking back at what you've done and saying to yourself "It is time to start another journey". With care and support from Toronto, o7.
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  7569. I wish ya put this one up before Christmas so I could have thrown this on my list aha
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  7570. the feynman trick was an abusive math.. abusive disclaimer: ABUSIVE
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  7571. Still useful after 6 years Thanks
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  7572. ❤🎉
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  7573. Hi! As someone just getting into advanced math, I've been noticing small problem solving tips to prove exercises like perhaps recalling past theorems and looking at proofs mentioned before in the textbook, constructing new functions or objects that can help simplify your problem, and other clever techniques that help one come to a proof. Over the years, I'm sure you too have amassed general methods to prove statements, so I would love if you did a video on your favorite problem solving strategies!!
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  7574. This is so good, I will share it with my children and students, thanks!
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  7575. You are 100% correct on the exposition & treatment of its material. It was the 1st Calc Text I ever bought & by then it was famously known as 'TCWAG' > (I got the complete sing/multi-var version). 40+ years later, it's STILL in my arsenal beside my cherished Anton, Swokowski & Larson collection as secondary faves...LOL
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  7576. really clear and simple explanation on something i thought was hard to understand. thank you!
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  7577. Amazing channel. I hope many people will support The Math Sorcerer!!!
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  7578.  @spaceracecorporation6884  It is better to learn 1 book for each topic than to learn like 3 books for each. Not everyone has time.
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  7579. Hi i am korean fan. At first, sorry for my poor english my goal is to strictly understand Road to reality and solve exercises in that. I already read it many times. But still i cannot solve exercises, rigorously. I Planned to study 6 basic books Abstract Algebra, linear algebra, basic analysis, topology, complex analysis, calculus on manifold. Maybe enrolment at university is the best choice but I am 26 years old. To late to start Getting degree in korea IN SPRING of 2020. I spent evening of 2days for proving de morgan's law 😄 😭 in set theory. It's been about almost two years. Now..I prove almost evey theorem in three basic books. abstract algebra, linear algebra and introduction of analysis. Yesterday. I finished chapter1 of topology book( metric space part) and Started to study topological space. Thanks for recommendation about gamelin wish your good year end and a happy new year I realy enjoy your videos
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  7580. Thanks so much for these awesome videos. As a first-year math major, all of this stuff is so new to me (and it can be pretty complex to understand at first), and sadly there are very few places to get help with it. The Math Stack Exchange is great, but having videos like yours are fantastic! It's as if you're sitting here and helping me through the problems step-by-step. Keep up the great work! I hope you get to 1/2 million subscribers soon! That'll be an awesome milestone. Cheers!
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  7581. This problem solved in 10second .. 😊😊from India
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  7582. Am the first one here
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  7583. Congrats
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  7584. It is nice to see this video about the only PDE book I have.. I like a lot the first chapter of recap of some concepts of Calc III, because I was (and still I am) week in multivariable calculus, and helped me a lot to understand some concept.
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  7585. life saver
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  7586. I really love your videos. They are give me a lot of motivation in my daily struggles, and help me be a better version of myself. Thank you 😊 Regards from Poland 🇵🇱 Grzegorz, Mechanical Engineer ⚙️
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  7587. Very rigorous. This is real maths! Well done.
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  7588. thank you!!
    8
  7589. First! I’m gonna add this to my list of books to study from.
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  7590. Your mic sounds brill. Crystal clear, podcast-level audio!
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  7591. I love your math library!
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  7592. I read an entire chapter on this and your video was the first bit of info I actually understood, thanks for helping all of us out!
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  7593. Thank you. It makes perfect sense now. You are awesome.
    8
  7594. Tutoring is a great gig while in school! I did it mostly freelancing, but also as a an employee of the Physics Department.
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  7595. For gradute level complex analysis, and slightly more modern book, I would recommend "Complex made simple" by David C. Ulrich, the problems are really hard, but fair. Like dark souls.
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  7596. Hey great message, I love how you encourage people to dream not just big but huge!!!!!!!....thanks!!
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  7597. Hello sir , could u please make a video on how u study , practice and read calculus. I am 15 years old and i want to self study calculus. Hope that made sense 😅
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  7598. I guess out there in the world when you see the average person, they have their own skills but if you've done university level math then its likely that you know more math than them, or even that you have a capacity to learn and come up with mathematical ideas which some people would struggle to come up with. And I guess I should be grateful for that to an extent. But its difficult to feel this way when you're in university and surrounded by so many extremely good mathematicians, everywhere you turn there's somebody whose much better than you. You think you have some level of skill, until you step into university and then you realize that you were a fool for thinking this and in many ways your world is thrown upside down and you feel in a state of chaos as you realize that the world is extremely massive and complicated and that maybe you're limited in your capabilities to some extent, maybe you'll never be great or come up with truly great ideas. Maybe your life is destined to be banal, mediocre and boring. It feels really easy to get nihilistic in certain environments. And I know its wrong, I'm relatively young and I should be aspiring towards the future, I should get inspired by seeing the great minds around me, I should feel a drive to move forward, the same drive I see in my successful peers, but instead the more I learn, the more defeated and small I seem to feel. I guess I really need to start changing my mindset.
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  7599. I love these wee videos, your inspiring words got me through my 1st and 2nd year engineering maths courses! Thanks so much and keep up the good work 🧙‍♂️ Ps 1st!
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  7600. awesome thank you dude, youre a lifesaver
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  7601. I am majoring in Micro and Molecular Biology and I am taking trigonometry, and it is the first time ever I genuinely enjoy doing math.
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  7602. I appreciate this video and the perspective it gives. I have interpreted what you said as being akin to taking responsibility for your own learning. So many people I've met have said things like "the textbook is terrible" or "the professor is unintelligible" and promptly let themselves do poorly in the course. Whose responsibility is it at the end of the day for your success or failure? Yourself. Now you must be kind but firm with yourself as well. Consistency and quality of study time will see you through to success.
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  7603. 0:55 must have been funny to record.
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  7604. Unfortunately the way things are set up in higher education we have to be able to balance between taking it slow and also speeding things up. It is also ok to go take an exam not feeling 100% prepared, because maybe that's how it is set up to be. Another thing to emphasize is how taking it too slow can harm you, more than help sometimes. Not seeing progress can be very frustrating. The take away is to take it slow when needed but bounce back when ready.
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  7605. No matter how intellectual or introverted you are, don’t neglect or give up on personal development and growth. It’s essential for a fulfilling life and don’t think you can’t change just because you’ve always been the “smart” one.
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  7606. Can you cast a spell for me to learn calculus 2
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  7607. This is an elementary algebra book. The best I remember is the polinomial divition and the factrization chapter. Take a look to the miselaneous exercises at the end of the chapter.
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  7608. Wow. My Spanish knowledge pretty much stops at "¿Dónde está el baño" and "Mi nombre es Felipe", but I still want this book. Maybe it'll serve as motivation to pick up some Spanish lessons!
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  7609. love these textbook videos! super useful for my continued selfstudy/review
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  7610. lmao what is going on here, how do you guys know each other?
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  7611. I have a suggestion for a book review, I’m not sure if you’ve had it on here before but Math Magic by Scott Flansburg is an excellent book on basic math and non-traditional ways to solve problems, it has been a really helpful read that prepared me for some of my math classes throughout college.
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  7612. Wish I did this sooner, thanks!
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  7613. As a research science mathematics student, I want to ideally make every assignment, from every chapter, from the particular book given at the particular class. Also the exams are being viewed by me not as self-testing but as a quick method to prove everything I should already know, is being understood, because I studied the complete structures of every and all assignments belonging to the examined questions. Also I argue that if one is going to write a mathematics book; and one would like to make assignments accordingly, that one should check if he can make those assignments according to the theory one has provided himself. A true mathematician wouldn’t be too lazy to do such thing. Furthermore, mathematics professors must get rid of their fear. Real mathematics students will want to do complex mathematics by understanding, not by copying without comprehension. Regarding the "nonsense" about the so called struggle. The only reason here could be that people are just jealous. Because one did so long to comprehend something, one apparently cannot bear that someone else can then with the knowledge provided learn the same thing in significantly shorter time, therefore getting ahead of the one who provided the initial solution in the first place. As long as this poor behaviour exists, it will take years to build bridges. As they say in the US Seal Teams: “Nothing is done alone.” Therefore as long as answers aren’t provided because some ego issue of the writer of such book, real motivated students wouldn’t be able to study the particular structures of the solutions. Only to test the theory, but that would be half work, therefore a waste of time. I argue, books should have solutions for all practice exercises, but separate solutions for the exam exercises; only provided to universities to prevent exam answers being spread. I hereby rest my case. For people who are learning mathematics and are in their starting stages, I strongly advise to study the structures of the solutions, not necessarily the fastest way to the answer, but the way that you yourself can comprehend and therefore makes you able to perform maximally to achieve total mission success in explaining your own solution, while giving the right answer with it.
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  7614. You’re probably way too busy for this, but have you considered doing a lecture series specifically covering spivak’s calculus, kind of like how the physics guy did a series on Serge Lang’s basic mathematics? I think it would get a ton of views compared to normal calculus lectures.
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  7615. im taking a break and looking at something entertaining, but my parents don't know just by looking at my screen when they pass by
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  7616. Distracractions!
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  7617. Can you make a video explaining exactly what the hell Functional Analysis is? It's referenced a lot in discussions about PDEs, but since my mathematical maturity is quite low I don't understand anything
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  7618. I hate all approximation methods in calculus, those burn me out in a single problem, Trapazoidal rule, Simpson's rule, they're all disgusting and I never wanna do them by hand again. Luckily they lend themselves very well to being automated, but I hate cranking them out so much... then the other thing that burns me out is when I can't get a consistent answer to a problem, and it turns out they're all wrong, right? It's such a burn out moment. Uh I had a chain rule problem I was doing when I first was learning it right? I did it over and over and over and over and over and over again on a whiteboard, and it wasn't until I whipped out the ol' pencil and paper that I realized what I was doing wrong. I was very burnt out by then I think, I felt real good about myself after that burning out turned into success though, so I was fine with it. I never stop until I solve that really really hard problem, then I'll take a break after I'm done with it.
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  7619. This was extremely helpful after weeks of struggling. Thank you very much. :D
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  7620. We will always support you. Keep working hard as always.
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  7621. I was an unremarkable math undergrad student. I felt firehosed in college. Although I struggled, I loved it. I'm happy with my current career trajector as a data programmer, but I feel like I want to learn and understand the things I studied and the things I never studied
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  7622. I've never studied calculus before. Despite the fact I may not know what's going on with the integral, your explanation seems so easy. Challenging myself to learn all the math I can is less scary with your explanations.
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  7623. 5k subs for a cool dude, it’s not something you can do over night. You have to start easy like read into physics books and then you can move you way up to more complex books.
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  7624. This video explained better it than my textbook did.
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  7625. I think some time allowance should be made for revisiting and reviewing some of these books, adding newly discovered favorite subjects, and enjoying some of the popular literature about math.
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  7626. I've always been in favor of unlimited attempts for homework. If students are allowed to make corrections for full credit, then the stress of getting a good grade is removed, and students can focus on learning. The goal of homeworks should be to practice the material and to learn the material. Having a limited number of attempts at assessments is reasonable, since the goal of an assessment is to see where students are, not to teach students or offer practice. When homework is treated like assessments, students get stressed out. This also encourages some students to cheat, since they will only have limited attempts at getting a good grade.
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  7627. There's nothing more frustating than wasting time on a problem with a typo
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  7628. What if my dream is too big, and I'm not interested in anything smaller? Regardless, I will work toward it even still.
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  7629. Do you think getting just a bachelor's in math is a good idea if I just want to make a six-figure salary?
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  7630. I always recommend my students to read the sections before we cover them in lecture. The student who tried this were very successful. There's just something about reading it, then seeing it again that helps it stick. I think it is similar to what you said about studying calculus beforehand. Though, if that is not an option (Spring semester around the corner for many colleges), then reading each section before class and trying the examples out can be a major boost in prepping them.
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  7631. As a first-year maths/physics student, would you recommend for me to learn a course using a textbook before I actually take the course so that when I do end up doing the course it's mostly just revision?
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  7632. You mentioned typos A typo in a math book (also just the existence of unknown (to the student) typos) is a big problem for students that are struggling to understand each jot and tittle which are important in math books. We need a database where people can find all the typos in a book so they can read with assurance. THIS WOULD REALLY HELP EVERYONE
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  7633. Friedberg, Insel, Spence >>> Hoffman, Kunze this is the hill i will die on but its true
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  7634. Phillip Wong, it's not the size of the blackboard but how you use it.
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  7635. A pre-Bourbaki book, finally
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  7636. Karl Friedrich Gauss was one of the three greatest mathematicians of all time, and it is a shame that anyone, let alone a mathematician, should not know how to pronounce his name. In German, the "au" diphthong is pronounced as we in English pronounce "ow" such as in "How now brown cow?" or "ou" such as in "loud"
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  7637. Awesome! This book really beats the hell out of all the ones I used in college, in terms of material and substance.
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  7638. Broooo, that's genius! Edit: Btw, I heard you can get rid of most spam bots in your comment sections if you disable links in the comments. Because most bots post links, their comments will be auto deleted.
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  7639.  @robertmorrison1657  Mine is actually Beethoven. I love moonlight sonata. He was a crazy genius. Watch the movie Immortal Beloved :)
    7
  7640.  @robertmorrison1657  That’s awesome! I used to play the cello, French horn, piano, and trumpet. I haven’t played in forever though.
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  7641. Related query: How does one do mathematical research?
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  7642. shouldnt people also learn arabic; just askin
    7
  7643. Amusing how some millennials and their younger brethren consider 1961 “a very very long time ago”. Ah, Children! How would this gent characterize in time the moment of the Big Bang?
    7
  7644. "i'm being abusive here" 😂
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  7645. This was the first problem of our homework. Our teacher didnt care to ever bring up the ratio test.
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  7646. The bottom line! PS how you explained Kurt Cobain and Nirvana made feel soooo old 😅
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  7647. Where exactly do you teach. I see some of your classroom video and it looks like you are a fun teacher. I like your approach you don't seetto try to go over the students' heads.
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  7648. Just because you mentioned it, I’m going to start writing my name in all of my math textbooks from now on 😂😂
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  7649. I have noticed that the more advanced the math book is, the fewer pictures it has accompanying its text. So, it's important to have a clear understanding of the math material with whatever mental images that can be created to accompany the problem solving or proving. Some of these images may be "videos" of what one understands while moving through the dimensions of a solution.
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  7650. I first paid attention to the word tenacity when I heard my mother use it as part of my father's eulogy. I thought it was a polite way to indicate bull-headed stubbornness. A useful balancing characteristic is perceptive curiosity, which, in either math problem solving or ocean wave surfing, can build strength toward greater satisfaction. Keep paddling out to meet well-chosen waves, and enjoy the ride back in. Skills, abilities, and satisfaction increase apace.
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  7651. Thanks a lot man. Had been Looking for a concise , to-the-point video and this video has it all. Amazing work, Keep it up
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  7652. tommorow I have an exam and still procrastinating
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  7653. Related to this is the famous spiral of Theodoros, where all irrational roots are constructed as consecutive hypotenuses, as you start with an orthogonal triangle with sides 1,1. The spiral is attributed to Theodoros of Cyrene and is discussed in Plato's dialogue of Socrates with Theodoros' student, Theaetetos.
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  7654. Yes, any practice will do something. Those McMullen books and 10 minutes you can get something out of it. Realistically 30+ minutes would be better. Do not let deciding time stop you, just start with 10 minutes a day and go from there.
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  7655. Wow
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  7656. I used to enjoy math. One bad teacher completely killed my motivation. Never took math or science since then.
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  7657. Thank you for this. Last year I struggled with mental health issues and I failed a crucial math module and CS module... After making some big improvements to my mental and physical health, I'm feeling confident that I can excel this time. (Also practiced lots during this 'break') Ironically though, my CS lecturer sent me an email just before I saw your video, recommending me to drop. However, I have/had absolutely no intentions of doing so. This video helped confirm my decision, and I'm feeling more motivated than ever. Thank you
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  7658. FANTASTIC VIDEO!!! Getting my BSEE was a pain in my ass because everything felt rushed. One minute you’re rushing through Complex Analysis then you switch over to Probability Theory then back to complex analysis. When you self study, it’s amazing how much information you can absorb. For Electrical Engineering, we had to remember formulas and tables such as the Laplace and Fourier transform or the stupid gradients of a transistor without sticking to the fundamental understanding of the formulas.
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  7659. Even though all of this is basic things to follow and incorporate in life, the fact that most people still don't do it, is concerning. Things that we've been told about since our early ages, yet many of us still can't properly practice them after all this time. The key is that its not about actively doing all this simultaneously, its about doing it regularly, it is also how you've acquired the little knowledge that you have right now, stay consistent, disciplined as you were often told.
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  7660. If you can pass a graduate course in Algebra, you can most likely do well in Physics also. I am reading three books on Physics right now. Nuclear Physics, Quantum Mechanics and a solutions workbook in Lorentz Mechanics. I don't want to just be a passive observer of these things, I want to be in the fight! So what I am saying is- do your own research, and come up with something original. Don't just be a passive observer. I want to be working like I am un undergrad student , taking 5 courses. By the way I am 46. Too old? Just old enough!
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  7661. oh there arent any
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  7662. Man I really hope you hit the waves my dude, you hair's looking for some serious curls. I don't mean the mathematical kind, or the hair product kind. I'm talking about some sick waves on the beach. Saaaaawwwh duuuuude.
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  7663. I think people are not prepare or were never told that when going on a math journey, the feeling of being on a never ending desolate road is a common thing.
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  7664. As a aspiring software engineer, I just want to say thank you for these videos. I love this podcast and always in tune ❤
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  7665. Thank you
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  7666. That book definitely meets the size criteria of having encyclopedia in the name! Also, I’ve been enjoying your question-answers series, so I decided to send one in. But I’ve kind of noticed that there must be a backlog of questions since there have been countless questions before my own, so I was wondering just how long this backlog really is lol.
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  7667. You don’t know how am grateful to you I totally forgot all the math because of working as a pharmacist for the past 10 years and now I wanted to make a carrier shift as software developer so I needed to learn basics math again before algorithms and data structure
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  7668. Could you please make reviews of some mathematical-physics books? 🙏
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  7669. I recently determined to rework the entirety of my calculus book, stewart, but after finding spivak on scribd,( along with almost every other book you reviewed, which is a thrill of its own) , I have set my goal on climbing mount spivak. Like so many others, I did enough to get by in college, but could not invest proper time the way I wanted to. anyway, I love the work you do here. Cant thank you enough!:washhands:
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  7670. So many of the fun and interesting topics that a lot of us missed out on are lumped together under the banner of "discrete math". I think many of us missed out on some of it because by the time we are deemed ready to learn it, the material was sometimes deemed too "elementary" to be worthy of inclusion in our course of study! They often teach elementary combinatorics and the binomial theorem in grade school or junior high. But fancier counting with Stirling and Bell numbers isn't taught until CS (for those of use who take it). Same goes for algorithmic graph theory (spanning trees and shortest paths). Number theory is for egg head mathematicians! We physics guys - at least back when I was in school - worshipped at the altar of mostly centuries old continuous math, basically vector and tensor analysis, orthogonal function systems arising from linear differential operators, and then the complex plane (mainly just for residue tricks to do definite integrals). I was never required to take a discrete math course (and didn't really know what it was), and only started learning some topics many years after I finished school because I wanted to understand algorithms. Then one thing led to another, and I'm really enjoying the landscape.
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  7671. Mathematicians: "Hmm, what kind of method can we use to solve this problem." Engineers: *tabular INTESIFIES
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  7672. i just sit on the computer watch math videos with a notebook and pencil all day- works for me.
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  7673. I am living for The Math Sorcerer sniffing all the books.
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  7674. “Close pc load letter”😂😂🔥🔥 Keep up the good work
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  7675. I'm a first year econometrics (undergrad) student, we don't cover calculus but went straight to real analysis. However, our math students do cover calculus and go to analysis at the end of the year. I loved math but I hate it now, real analysis is so damn hard if you don't have any college math experience..
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  7676. That's cool. I could use some Geometry practice.
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  7677. Hi Mr Math Sorcerer, have watched your videos and thus far I find them very informative. Could you please do one video on Imposter Syndrome? For context, I am a scholar in my country, and so far, I haven't been able to perform as well as my other peers academically, this difference has been gnawing at me for the past 3 months and I feel that I am digging myself a deeper hole.
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  7678. My mind always gets wrecked into a wall as soon as I see proofs even about basic math. I can't understand how I have to set my thinking.
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  7679. This was free a few months ago as an ebook, glad I waited to pick this up. The current book I'm using right now, Linear Algebra by Hwei P. Hsu, is obscure, but it seems pretty decent so far.
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  7680. Very helpful! My professor has not shown us the natural log trig formulas, so this helped a lot! Thanks👍🏼
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  7681. I have been working on my BA for 32 years, I am just finishing up a term and I will be able to graduate early next year. Then I am going to get a PhD in Maths and this comes from a person who was scared to death of math for years and years. I turn 50 in a couple of months. So I say nope, it's never too late no matter how long it takes, if you want it keep working at it. Don't focus on how long it takes. Focus on your next stepping stone. Such as I am finishing my current term this week and starting a new term next week all while waiting on a major surgery. Just believe in yourself and you can do it. But set goals and try for them. I want to have a PhD by the time I am 60. I want to graduate and work for a few years then start my journey back to school...plan, focus, one step at a time...you got this!
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  7682. I disagree. It's best to understand everything we care about or want to contribute significantly. If we don't care, then fine, just memorize it. In particular, I won't lose time practicing what I don't understand since I refuse to be a machine. When we truly understand a topic, we can even detect typos and other errors people make. And we don't lose time trying to solve problems that aren't real but only other people's pride.
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  7683. I was born in 2005, and am now here as a calculus student myself. Even though my school doesn't use Mr. Serge Lang's books for class, this video has persuaded me to get one. Thanks for the recommendation!
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  7684. I have this book!!!! Well the 11th edition😅
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  7685. I love your books reviews! Please continue!
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  7686. This is how everything in life works... You only "learn" when you do not know something. For example, think about times tables in basic multiplication. If I ask "How much is 8 x 7?" you will probably answer 56 without even thinking. That is because you already know it. There is "no learning". However, think back to the time before you knew how to multiply. You did not know how much 8 x 7 is. You had to memorize the times tables. It took time. It took repetition. You did not understand the underlying concepts. Given enough time though and enough "usage", you worked through the "frustration" of not knowing and today you cannot learn your times tables because you already know them. Everyone only learns from their mistakes. That is where learning takes place and not when you already know something. So, in learning, it is a matter of how many times it takes "you" to learn whatever. IF you don't get it after the first time, second time, third time, for example, and you decide to quit because it is too hard, I don't understand or a myriad of other excuses, then you will never learn it. Instead, even if you don't get it after the 4th, 5th or however many times and you keep on persevering, you will eventually "get it". You will learn because you keep trying. A baby keeps trying to "learn" how to walk. That is why everyone can walk. They learned how to do it. If babies quit learning how to walk... think about it... it is no different with math. Keep doing. Keep persevering. Eventually you will get it. As an aside... I am 62 years old.... and I am still "learning". I had gotten my college degree in accounting, but, I wished I had gotten a degree in Mathematics because I am passionate about it. So now, at the age of 62, I am still "learning". Throughout life it never stops until you are dead and in a box.
    7
  7687. The author of the topology book was my Differential Equations professor eons ago. I thought the name was familiar, then the jacket confirmed it.
    7
  7688. I'm also thinking of switching over to math in order to improve my mathematical maturity since our CS dept. is lackluster in math and honestly quite terrible.
    7
  7689. Creating content as I sign up for classes on subjects? Nice.
    7
  7690. I bought a 13.3 inch e-reader and I'm loading it up with pdfs of books you recommended! Thank you!!
    7
  7691. Reading a bit of ‘Men of mathematics’ and ‘significant figures’ or sometimes other biographies helps a lot. Pizza is welcome to the show as well 😇.
    7
  7692. Haha, I have this L shaped desk and have like 12 study references open, while I have my Laptop like 8 feet away like its a sports-match at a bar, that way I can tune out while he talks about bob and lerry's mystical cat adventures. But they have this INCREDIBLY annoying feature where you have to "engage/interact" every 15 minutes or it escapes you from the Zoom chat and you can't rejoin, and ofc "attendance" to bob and larry most excellent adventure are part of credit! (its the equivalent to Norton Anti-virus: Are you there? Are you sure your there? Are you absolutely sure you here? Hey just checking up been 8 minutes, click me!!!) It's hilarious when they have the 'clicker' questions in E-lecture and seeing the # of people that voted fluctuates as a function of pure boredom and dropped students from the lack of engagement in the lecture as time progresses!
    7
  7693. Thanks! Such a simple explanation!
    7
  7694. This is a wonderful achievement. My sincere congratulations. If possible, help other people.
    7
  7695.  @alan_marx  Thank you! I will post some of my tips as comments on future Maths Sorcerer videos. Also, I'm currently supervising my own PhD student. :^)
    7
  7696. awesome vid man learning this and the extreme value theorem rigorously right now
    7
  7697. Thoroughly enjoy these book reviews! The smell test makes me want them more
    7
  7698. I like these math videos. They keep my mind in math, and if a person watches enough of them, they add up help a person.
    7
  7699. My trig book had tables for the basic trig functions, and a rather short section of log-trig values, too. Trig was fun, but the class in high school was very small. One of the few books I can't seem to find in my library. I think it's in my sister's library. When I say "library," I don't mean a public one. I mean my personal array of books. And as for my sister's collection, it's larger than some small public collections. ☺ Some solid trig would be nice to see on this channel. It has far-reaching applications, both modern and historic, especially in the realm of navigation. Love the review! Never stop learning and teaching!
    7
  7700. i'd say this goes beyond just mathematics. lets all take this as a life lesson as well
    7
  7701. Thanks for this video, I find this very interesting. My native language is French but I mainly use English because while learning computer science, I realized that many high-quality resources were hard to find and often unavailable in French. I did school up to a bachelor's degree in computer engineering all in French but decided to use almost only English in order not to be left behind. Now that I want to get back into maths, I realize that the things I learned in French are not yet in my vocabulary in English. I have then decided to use English as a pivot language but give myself the freedom to learn in any language, after all the most important is to grasp concepts. I also speak Spanish and am learning German as my fourth language because I enjoy learning languages. If I put my hands on an interesting math book in any language I understand, I will happily use it and worry about how to say this or that in another language later. You mentioned a Spanish channel of yours, can you please share the link? Wish you success in this podcast you are starting. I'll stay tuned.
    7
  7702. Your structure for presentation and talking reminds me heavily of the best characteristics that Patrick Winston highlights in effective speakers. Thank you, MathSorcerer for encouraging me, and countless other aspiring or established mathematicians/learners to be our best selves :’)
    7
  7703. This dude make life inspiring
    7
  7704. I took the approach of "I'm not here to get A's, I'm here to truly learn these concepts so I can use them in my career". Looking back on this 20 years later, I've done very well in my career from this approach, and I still absolutely adore mathematics and have never burned out on it once.
    7
  7705. Well, the mileage for the teachers of high school varies a lot depending in what country you live.
    7
  7706. Thank you so much!! I'm studing real analysis this semester and it all seems so theoritical, it's hard to draw a picture like that. Your videos really help with understanding the material, thanks again.
    7
  7707. I am an undergraduate physics student. I am planning to learn advanced calculus on my own. Is it possible to learn on my own?
    7
  7708. I'm learning calculus right now from this book. Really good book for newcomers.
    7
  7709. Ou yeahh , the Indian formula ....❤️❤️❤️❤️❤️
    7
  7710. The Jacked Sorcerer
    7
  7711. I am in awe of the prodigious output of authors like this.
    7
  7712. "Methods of Theoretical Physics, Parts 1 & 2" by Herman Morse, Philip M. Feshbach is THE heavy artillery of Applied Mathematics in the context of physical applications. It's old, out of print and expensive, but it is the best. One can find PDFs as well.
    7
  7713. It's so groovy that you are so positive and, I hope you don't mind me saying, spiritual! 😃:goodvibes:
    7
  7714. That is an amazing book
    7
  7715. i checked the book and i love it thank you
    7
  7716. “Named after Elon Musk” made me chuckle!
    7
  7717. I haven't taken Calculus 1 and 2 since high school, and have to take Calculus 2 for my major this upcoming semester. So, it's been over 2 years since I've taken a calculus course. Would watching this lecture (along with working through practices) be enough to prepare me for my upcoming Calculus 2 course?
    7
  7718. The book is so popular to the point where it allowed the author were able to purchase a $30 million CAD house which was designed by Frank Gehry. The house is designed in the shape of an accordion and has an indoor theatre with a siting capacity of 100 people.
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  7719. I have the 4th edition. It's an excellent book. Standard calculus books have 1000+ pages but vector calculus and multiple variables are not as deeply and comprehensively covered as in this book. Multiple variables are of course a much more advanced part of calculus. This book nails it providing comprehensive coverage. It's just like ODE are not covered deeply either in calculus books. You need a separate book for that. Unfortunately, they are not that many good books on vector calculus. This is a must-have book for those who want to gain a superior and advanced knowledge of calculus. It blows out of the water any standard calculus book when it comes to multiple variables and vector calculus (Calc 3 and 4). This book is my top recommendation for those who want to master calculus very deeply at a serious level. However, there's no ODE in it but Boyce DiPrima's book solves that. By the way, Colley has some good book recommendations at the end of her Vector Calculus. It's not just a haphazard list of books. It's a well structured recommendation of important math books. It is worth mentioning that analytic geometry has been severely reduced. Its remnants are now part of calculus. However there's a good separate book on analytic geometry too. It's by Douglas. It's also very expensive. Analytic geometry should precede vector calculus. Luckily, there are electronic versions of books nowadays and ridiculous price tags can be avoided.
    7
  7720. about 1.5 yrs later and still a great explanation. Cheers!
    7
  7721. I can't say how much I appreciate this reference. I work in a HS as an in-house math tutor, and after reading just a bit in, already am thinking about what I can do better, different, to help my students. Also going to buy your Calculus Udemy courses. I've helped students right through calculus, but never sat and watched a teacher teach the classes. The sample lessons tell me that it's a great step to take.
    7
  7722. Thank you for this :)
    7
  7723. Whenever i saw this kind of videos . Inner me : bro maths is easy just playing with no.s and playing with maths concept. In reality it comes while studying it's all gone.
    7
  7724. Own it! Go to the dean and negotiate. You won't escape consequences but you could expunge both the class failure and the cheating violation from your record in exchange for a truly massive sacrifice. DON'T MAKE EXCUSES. Handle the process with integrity. When a job interviewer asks for your biggest learning moment, this delivers on a silver platter. (:
    7
  7725. Thank you. My lecturer is confusing.
    7
  7726. Math Sorcerer, is it common to be able to do some pretty high-level stuff in intermediate mathematics---say, Laplace transforms---and be totally thrown by some pretty basic algebra material, eg, rational roots theorem? It's pretty humbling
    7
  7727. I have a love/hate relationship with trigonometry, but I do think it's a lot of fun, especially verifying trig identities. I was using Larson's Precalculus Functions and Graphs textbook to review trig, but I'm not satisfied with it. I'll look into the books you recommended. Thanks!
    7
  7728. That was brilliant! Thank you so much for that happy visit with some well-loved books! ❤
    7
  7729. I am loving linear algebra, and it is a great expansion on the things I'm teaching in college algebra. I will check out these books once I find some free time, and once I buy a bigger bookshelf!
    7
  7730. I went to a small university with an even smaller program. We were stuck with bad professors if that's what it came down to. If you can switch to another professor then do so. After watching this video it seems like you had ONE bad experience. If it really bothers you then switch professors, but bewarned, you may not be better off with a new professor. Do your homework on this new professor, (no pun intended).
    7
  7731. Useful Video Sir .
    7
  7732. I'm lucky to have found this channel!
    7
  7733. I just VTI and chill.
    7
  7734.  @Hi_Brien  hahahahahaha 😂
    7
  7735. imo mathematics is a lot closer to philosophy and music than to physics and chemistry or engineering
    7
  7736. Physics, it's a "Blast". Budum Tshh.
    7
  7737. I like that you made this video in the forest. I think that nature, and walking, is a powerful food for a person's spirit to keep them grounded in life. After that, I'd say as a retired person looking back about life that if I could have a redo, I'd rate Mathematics Professor at the very very top.
    7
  7738. this is so true. literally just having fun solving a super difficult problem. but 30minutes literally felt like 5minutes
    7
  7739. why psychedelic, just the cover?
    7
  7740. Hello Mr. Sorcerer,! I am about to finish my undergraduate degrees in Mechanical E and Math. My Uni does not offer topology or complex vars. Instead they are offering Number theory and Combinatorics which i do plan on taking with abstract algebra and advanced calculus 2. I was wondering if this would be a problem for graduate schools do you think they would care? any help is appreciated!
    7
  7741. Good morning Sir. 🇵🇭 Good to see you again! Great advice I need this.
    7
  7742. Gilbert Strang is of the opinión that you do not need to know so much to start doing DE.
    7
  7743. That was such a valuable piece of advice. Thanks so much sir. I am a physics major and I hope I benefit from your life experience! Thanks for sharing all this info with us, sharing is caring.
    7
  7744. Review Scott Steiner Math on youtube , i think he should be a math mathematician
    7
  7745. You have no idea how much help your videos are in offering direction to those of us doing self study. Thank you so much. From google translate.: The stamp on volume 3 says Shichuan university library, department of science.
    7
  7746. This is the BEST advice I've heard this week which makes THIS video among my high favorites of those you've done so far!!! Thank you lots for producing this video, Math Sorcerer!!! :) :) :) :)
    7
  7747. Maths is the fundamental of everything. That's what helped me to become passionate in maths.
    7
  7748. Ahhh, I can almost smell those pages through my phone screen! Love taking a good whiff of old textbooks!
    7
  7749. I used the Ellis and Gulick book in 1979. Glad to see it get a good rating!
    7
  7750. Plan's change😂 the interesting thing about life
    7
  7751. Thank you ! I was confused what the meaning behind bounded was
    7
  7752. Mir Publishers are well known for their amazing catalogue. Sadly their books are very hard to find nowadays. Congrats for that valuable acquisition
    7
  7753. Oh God, i hate this, but i really want to stop having chills everytime it appears "proof", "demonstrate" or, worst at all, "non-euclidian"
    7
  7754. You're my favourite wizard.
    7
  7755. I am obsessed with these book videos as a computer science student. I am about to graduate and need to pursue an internship… But I love studying more than just doing manual work
    7
  7756. I’m going back to college after 5 years gap. This video really inspires me so much. Thank you Man
    7
  7757. Your videos have helped me so much this semester, thank you!!
    7
  7758. So much of this is reflected in Miyamoto Musashi's the book of the five rings. The path to genius has not changed in millennia. "Once you know the way generally, you know the path to all things."
    7
  7759. chuckled at 1:37 because my sense of humor never developed past the 6th grade
    7
  7760. These shorts videos really good and refresh my memories, hope you will keep uploading them
    7
  7761. Thank you
    7
  7762. I have a Question But first of all I love your content it's really great <3 So my question is I'm in 9th grade and want to learn more math and physics (I already understand higher priciples but can't really 'use ) The problem is in school I understand things better when I have the whole picture of a topic Understanding simple topics is easier when I know the whole complexe one Which books would you recommend me to master everything for school and beyond that Not only in math (I think the video about studying math from start to finish is really good) So for math you would probably recommend me the books from this video So which would you recommend me for physics (maybe a new video about learning physics from start to finish) Again thx for making great content <3 Sry for typos and lack of clarity (english isnt my first language and I never ger to the point)
    7
  7763. The light is funny
    7
  7764. Amazing work no one can explain it better than u in this short period of time.
    7
  7765. I’ll be going into my last year of undergrad in the fall. Do you have any advice of getting letters of recommendations from professor’s? I’m sort of in a unique situation, I transferred to the school Im at last semester so I don’t really know that much of the faculty. I’ll be doing research with a professor next semester, so that should help me but I need at least 3 recommendation letters.
    7
  7766. Many moon ago, when I took my first uni course in linear algebra, we used Robert Messer's "Linear Algebra - Gateway to Mathematics" as a textbook. I have very fond memories of it, as it was really pedagogical in explaining the reasoning behind abstractions and so on.
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  7767. I think theres a relationship between video games and studying and its that they both involve brain power which is why I dont play games as a way of taking a break because ill just be, in a way, "studying" game mechanics or puzzles. I remember studying Calculus then playing Elden Ring only to get frustrated and guess what? I had to return to studying while frustrated. I was angry-studying lol.
    7
  7768. Woooo dude, how much weed was smoked before that video 😂😂👊👍
    7
  7769. Paul Shin I know exactly what you mean. It’s not so much grades that stresses me out but the fact that you only have so much time in a day and in a semester. You have to rush to master the material which is stressful.
    7
  7770. I was looking to remember how to do these and google led me to this video, only to realize it was YOU my college math professor! You're such a great teacher, never change. Thank you so much!
    7
  7771. I learned so much is such little time. I’m great full for people like you!
    7
  7772. I wasn’t expecting this, but awesome! You should do more collaborations.
    7
  7773. depends, I think the schaums is actually pretty good! I have that one and I've referenced it and read portions of it. It';s laid out nicely too.
    7
  7774. David Hilbert of course, the great German genius, along with his incredible students with names such as John von Neumann or Richard Courant, who was responsible for modern mathematical cultures around the world and who has ushered us into an era of mathematical physics, functional analysis, abstract algebra, and so on. The book is titled "Geometry and the Imagination".
    7
  7775. Seems like the content on this channel has been gradually getting better over time. We hope to see more videos like this. May God bless you.
    7
  7776. Mathematics majors are clearly masochist.
    7
  7777. Random thoughts from someone who is good at programming but sucks at math: You do NOT need to “get” math to be a good programmer. Math homework has only one path to a right answer. CS homework has lots of paths to the right answer. That’s not strictly true, but in the context of school homework it is basically true. This means you can play around a lot more in CS land and have more fun instead of getting stuck in math land and constantly feeling like you’re wedged in the trash compactor and the walls are closing in. If you naturally love math then you will not feel constrained by math thinking. But if you hate math, CS can be extremely liberating because so much is possible in the solution space for any given problem. There may come a time where you feel like you’re just not understanding math even after hundreds or thousands of hours of effort. But maybe you’re really understanding programming. Do not beat yourself up over the math struggle. It’s okay. You can still live a wonderful, fulfilling, and useful life. You can create millions of dollars of value by being a good programmer who doesn’t understand math. Don’t give up on math, but if you find yourself desperately struggling even after massive effort, you should mostly abandon math and start honing the skills that come naturally to you! We believe in you!
    7
  7778. Hey Mister Math Sorcerer!! I just want to say a big thank you!! Your statistic videos helped me out during my stats course. I appreciate you! Wouldn't know what I would've done during the course. Glad I stumbled upon your videos. Big thank you!!
    7
  7779. Oh Yes there are worse things than being alone but it often takes decades to realize this and most often when you do it's too late and there's nothing worse than too late. - Charles Bukowski
    7
  7780. Right, I enjoyed math until trig. I think I just need to alter the way I think about it. I have been quite lazy with my math learning, as I am not sure if it is for me. But I have lived long enough to know that not everything is so easy. So I shall try to learn trig- once again.
    7
  7781. Your channel was weird for me at first. But after a couple of videos I enjoy it very much. Congrats on half a mil, very well deserved. Also, I was wondering, do you have any book recommendations on math or pshilosophy logic?
    7
  7782. 1:17 Loved this quote from the video: "Don't waste time on things that don't benefit your life, and the lives of those that you love, and the lives of those around you that you care about!"
    7
  7783. I learned topology before proofs and it was absolutely difficult
    7
  7784. The Leithold book is still heavily used in Brazil, it is nearly as popular as the Stewart book. The Brazilian edition has an additional chapter (made by brazilian authors) on differential equations because they wanted to "complete the curriculum". It is divided into 2 volumes, because it would be too big as a single tome.
    7
  7785. I don’t, my teachers force cameras and I’m actually dedicated to my work/profession
    7
  7786. i feel i'm complicating it too much by thinking hard.!!!! keeping it simple from now on.
    7
  7787. Thanks ... Maths sorcerer!!
    7
  7788. Math Sorcerer is amazing :)
    7
  7789. Instead of coffee try caffeine pills. And only "nipple" on them. I used 2-3 caffeine pills a day (400-600mg). After some experimentation I now nipple on one pill for about 3-5 hours. Due to the spread of caffeine absorption the efficiency is much better. I now use hardly more than 300mg a day and my focus has improved drastically. Also the negative effects of caffeine like nervousness or irritability and sleep difficulties have vanished completely. Also you do not need to go to the toilet often...For this method caffeine powder would even be superior, and is way cheaper..But dosing can pose a problem
    7
  7790. Thank you for the clear explaination. Helped me a lot! Cheers.
    7
  7791. Bro im from brazil, and I always watch your videos, thanks, you help me a lot ❤
    7
  7792.  @TheMathSorcerer  you should make more videos or another channel on your trading id love to see from the perspective of a mathematician how you enter trades and what goes through your mind
    7
  7793. Does the book have solutions?
    7
  7794. what if the absolute value is on the denominator? is it still non-removable or removable?
    7
  7795. you are a real good teacher who do not read textbook
    7
  7796. The question I would like to ask is how has this book help you trade. Since you understand math in a more profound way than others then i really think trading might work for you. So since reading this book how has trading gotten better for you?
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  7797. YES ITS FINALLY HERE!!!
    7
  7798. Awesome. I've been drowning in my class and was praying you'd upload more real analysis stuff. Your videos are seriously the best out there for this course, thank you!!
    7
  7799. All college math-learners should expect to solve non-standard math problems. Otherwise, test = mechanical repetition with different numbers and letters.
    7
  7800. Nice video. I'll soon be buying a copy of Terry Tao's two Analysis books. Although Terry Tao is of Chinese descent, he's actually from Australia, which may partially explain his excellent exposition style in writing. Another reason is his high intelligence and mastery of the subject matter. This brings to mind another master that wrote very readable Calculus books a couple generations ago: Richard Courant. His two volume Calculus set is a real gem. His second edition of the set was co-authored with Fritz John, but these volumes were not as much a pleasure to read.
    7
  7801. I genuinely can’t express how helpful these snippets are. Feeling inadequate is so commonplace in STEM. You’re a rare beacon of light in all the negativity
    7
  7802. I have a math test today and my notifs for this video came up… oh no
    7
  7803. A great vid as always
    7
  7804. what is the property called for: a^n * b^n = (ab)^n
    7
  7805. I'm the 4th commenter, I'm the 4th I swear, whew. Edit: I liked my comment as well.
    7
  7806. No views yet, but already has 5 likes. Interesting. Five is a new zero !
    7
  7807. You can almost smell the scent of an old book when you read "Transformation of Coördinates" at 2:53 :]
    7
  7808. Because of Math Sorcerer I ended up doing 2 hours a day for a year. It changed my life. I'm excited for you beginning your journey !
    7
  7809. I just wanna let you know that I really enjoy your videos. My calculus professor doesn't explain things very well so you've been helping me get through this semester and better understand my course.
    7
  7810. Another awesome video. Thank you.
    7
  7811. Muchas Gracias amigo me estas ayudando a resolver mi examen final :D
    7
  7812. I solved this using your last video tip, which was the sum of roots should be -b/a and the product is c/a
    7
  7813. Thank you for these videos, and these points of view, coming from a person who’s failed trig and college algebra 3 times, I feel like I’m inadequate and there’s something seriously wrong with me, but when I see people like you struggled as well in your own ways I feel like I can pick myself up and keep going if I just put more time to it
    7
  7814. I always tell my students that Albert Einstein was kicked out of his maths class because his teacher said he was useless at maths " he wont amount to anything"! If you have a passion follow it.
    7
  7815. This remember me my first day at college, when I accidentally watched a Calculus IV class that was a semester in course already. Also I got late. Considering that my schedule indicated that my class should be Statistics 1, I was VERY confused.
    7
  7816. Best luck!!! Look at his udemy courses and i may be able to give some calc TB pdfs
    7
  7817. If you know what you want to do, it's better to establish maths in you everyday life during some years (if you work) before taking any decision at all, the rest will come naturally. (As an adult). Whatever, GOOD LUCK TO YOU ALL !!
    7
  7818. thank u sir u literally saved my ass 💀♥️♥️
    7
  7819. My first test 75% I'll see the results for my next test in a few hours 🤣 wish me luck
    7
  7820. This is really cool! Now I can tell all my friends how gnarly group theory is. On a serious note, very clear and very concise!
    7
  7821. You seem like such a chill prof
    7
  7822. Excellent advice. I would add that anything valuable and worth learning takes effort. Want to learn calculus? It's going to take effort. Want to learn French or Spanish? It's going to take effort. When I was teaching college algebra and trigonometry part-time at a university, more than one student approached me and asked if they bought this or that expensive programmable calculator, would that guarantee that they would pass the class. I responded by saying that in all honesty, no. Actually, the least expensive scientific calculator, with the basic trig functions would be far simpler and better. Most had not done well in algebra and trig in high school and were taking it again because their chosen program required it. My job was two fold. One, give them confedence that with effort, they could and would succeed. Also, maybe teach a little math thinking and logic on the side that could help them on their way. Kind of like the guy at the gas station telling you your destination is "just down the road away, you can't miss it."
    7
  7823. I have "proofs" by Jay Cummings. It's a pretty good book.
    7
  7824. Yaar Thora बड़ा लिखो
    7
  7825. For me the fastest way was to watch a youtube course. I only started to use books instead of lectur notes when I had a bit more reading experience.
    7
  7826. Thank you ​ @TheMathSorcerer 
    7
  7827. Thanks Math Sorcerer Sir. Your advices helps me a lot. I have an average speed in understanding calculus but with your advices, I think I can understand Calculus twice faster than previously
    7
  7828. Math teacher is looking yoked!
    7
  7829. Wow, I´m trying to study a physics and a math degree ´cause I am amazed with how things work, though I´ve always been the one who doesn´t know how to do math and is very bad at it, so i´m trying to improve but I wonder If i´m able to
    7
  7830. When I was in grad school, I didn't care about grades, as long as I made a 'B'. My office-mate didn't care about grades, as long as she made an 'A'
    7
  7831. The example of "cognitive weight lifting" is very poinant. The most unbiased assessment of IQ is generalized pattern recognition. At the more practical level, people will often believe being good at math is being a Human calculator. So if one can perform arithmetic on a set of integers, even ones of excessive scale, large or small, we think, "genius." It's another matter to look at symbolic manipulation (terms in equations) and identify patterns and various symmetries. In terms of language, this is akin to syntactic (grammers) vs. semantic (context/meaning) structure.
    7
  7832. Life is not a competition. Sage words my dude. At the beginning of my undergrad I was totally that dude. If I shared anything, it was to flex. As we got past the core classes, and the material diversifies, you realize how much of a team sport it is.
    7
  7833. Serge Lang has some great publications. I never got it, but I hear his graduate level text in abstract algebra is a very popular text. Sadly, I didn't become interested in math until college in my computer science major. I had really great math professors who really pushed me to fix my math weaknesses and learn the beauty behind mathematics. I was able to get a ton of old books from professors in computer science and math professors after they cleaned out their offices. Feels great to be able to pick them up and read and learn from them.
    7
  7834. The more math is painful, The more exciting it is.
    7
  7835.  @TheMathSorcerer  Perhaps, I'm reading Basic Mathematics by him to relearn though, so eventually I'll have to note, maybe after a reread. We'll see how the journey goes. Also, I can completely relate to the enjoyment that comes with that aged book smell!
    7
  7836.  @silvermine2033  The history behind maths is very intreseting right
    7
  7837.  @ArchietDev  It is quite time-consuming to prepare the full proofs and the lecture in general. Even when you master the ideas, making all the steps in a straightforward manner needs time and some memorization before the class. Writing the proof in the class with the student will take a lot of time and may cause confusion to a lot of students, the program of the semester is long and doesn't allow such a thing. So as teaching is not highly motivated in university by the system altogether in contrast to research, it leads eventually to this lazy attitude.
    7
  7838. Great video. I can relate. I graduated 15 years ago with my bachelor's in mechanical engineering. I just started doing math again 9 months ago with the goal of learning real analysis. I also thought I was good at calc. I got As in 1thru 3. Well I have been going thru Spivak and this is not the calculus I learned 15 years ago lol. I will think I have a proof correct and then when I look at the solution I see that I forgot to do a case or made a bad assumption somewhere. It's frustrating but it's also so rewarding when I get a proof right. And my understanding and ability to do proofs using epsilon and delta arguments has improved so much and I have really come to enjoy them. I got a long way to go, but I have made progress, and I'm enjoying the journey
    7
  7839. You are a treasure. Thank you for your encouragement.
    7
  7840. Much motivation can be derived from studying the history of Mathematics. Over the centuries, great minds have struggled with the subject. Some unsolved problems remain so, some were solved and some where shown to be unsolvable. Some entities were once considered nonsense like zero and Complex Numbers. Now they are taught in elementary and secondary school.
    7
  7841. What the FUCK! This title describes my case and it cames to me. The case of the guy on the vid is different (actually, my case is a bit worse) but the title and the moment that its came to my life match perfectly
    7
  7842. Merry Christmas sir🎉
    7
  7843. This is the same book my Calc 1 professor used and is what I'm using for calc 3 right now
    7
  7844. Totally agree. It helped me break through calc struggles and my mental health
    7
  7845. The cardio you probably do, have linear effect on both your health and the proportion between shoulder to waist, live long Matematika
    7
  7846. Dude, you're shredded! I didn't know that.
    7
  7847. thanks...just a small request, please keep the camera a little far , you looked too intimidating in this one.
    7
  7848. Would love a video on economics, statistics, digital marketing/marketing books
    7
  7849. What a relaxing and contundent video, your content hit me directly, I need to focus to get better learning programming.
    7
  7850. I chose to solve it by expressing it in exponential form. X^1 = X^(1/4) Since 1 and 0.25 are not equal, the only possible solutions are zero, which has no value, or 1, which reproduces the same value, for all powers, positive or negative (assuming we count only real solutions).
    7
  7851. It's never too late...
    7
  7852. Thanks for this! I just bought this book. I'm going to put it under my pillow at night and see if I can learn by osmosis while I sleep!
    7
  7853. I would recommend studying proof writing as soon as possible. You don't need to dive straight into analytic number theory, but getting a grasp on the process will be useful in all maths classes. I find "How To Prove It: A Structured Approach" a good introduction, although it wasn't what I used when I started out. Also, while you don't need to start with number theory, a nice side effect of studying proof writing is you will quickly learn how the natural numbers, integers, rationals etc are defined.
    7
  7854. Maths or Computer Science? Easy! Physics! :D
    7
  7855. I am an eletrical engineer who got destroyed by abstract algebra in error correction code :))
    7
  7856. it is a basic requirement for anybody to pursue a phd in stats or applied math i believe.
    7
  7857. What other books would you recommend to study Analysis?
    7
  7858. I'm rooting for you, Stranger.
    7
  7859. I take the professor's advice and go over the notes, homework, midterms, re-read the chapters and go over all of the extra problems at the end of each chapter.
    7
  7860. Woah it has Frechet derivative and Homotopy?
    7
  7861. Discrete math might be the best class I had.
    7
  7862. Thank you so much for these videos.
    7
  7863. this is almost exactly what i spend the first class talking about to my students, except i make it like no big deal. math isn't hard as long as you learn some rules and practice.. you'll know as much as i do. (attendance/attention/HW practice)
    7
  7864. You're my inspiration :) I want to get into machine learning , so maths is something I need to be extremely proficient in despite at the fact that I suck with it.
    7
  7865. Identical I swear! Lol!
    7
  7866. My comment was deleted for some reason :( I just want to say how much I appreciate your calculus courses. I survived calculus 2 because of you. (I got A+ for calc 2.)
    7
  7867. I just started my masters program in Mathematics, but my undergraduate is in secondary education in Mathematics. I am really struggling with feeling like an impostor or like I'm getting the wrong graduate degree. Thanks for the timely video!
    7
  7868. Lol this is awesome! 😂 I can’t get over the music. And the voiceovers really are hilarious. My favorite line was “hello I’m calling to see when I will be getting my acceptance letter” that was pure gold!
    7
  7869. Getting above a 3.5 semester gpa
    7
  7870. DO IT! JUST DOOOO IT! Don't let your dreams be dreams! Yesterday you said tomorrow, so JUST DO IT!
    7
  7871. I've been tutoring for over 10 years and while doing a lot of problems of course helps, if you don't understand what you're doing, then it's just rote memorization which won't make you any better. It might get you through the tests. If that's your goal, then fine. But if you really want to learn math in a way that will allow you to solve almost any kind of math problem by analyzing the problem properly and applying the necessary theorems, rules, and formulas, then you have to spend the time learning why and how certain math concepts exist.
    7
  7872. This is a very helpful video. Another reason i'd like to add which is related to that " limited time to study math" you mentioned is always seeking for reasons and asking 'why' in math. Well, when i started high school i was full of joy, because i thought of it as a new start of getting to know the science world more but little did i know that the journey will be very much harder than i thought. Well, i started asking many questions because i didn't want to simply memorize the formulas, luckily sometimes i could find the reasons by thinking about it for many many hours by myself but when i couldn't, i asked the teachers and you know this one time my teacher got really mad at me and called me dumb and worthless and that was it. I thought to myself "why can't i just be smart like other kids who get good grades without having to ask so many whys?" i wad hopeless and badly failed my next exam and couldn't get my grades up anymore. I once thought about a question for 6 hours straight. I was frustrated. My parents called me so many things because of my grades and after a while i didn't know myself anymore. The once enthusiastic kid was now someone who just couldn't help but always cry and barely passed the classes. Years have passed and i do see myself in some kids around me, i may not be someone who could give others an advice, but i hope you can still see this as a simple recommendation from a friend. To understand math, you need time. You can still get really good grades in high school without completely understanding things (I got an A in math the last year of high school) but that'd just make math very boring.. So don't beat yourself up just because you want to know the reasons. It was the last year that i realized nobody in our class except a few students actually knew why things work in maths. It was our physics teacher who asked a question which required you to fully understand a certain concept in algebra 2 to answer that question and only 3 students could answer that. You need time, everyone does. Don't blame yourself for feeling like your time is not enough. I struggled A LOT but i hope you don't go through the same thing. Take care and have a lovely day💕
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  7873. yeah and it's so pricey. :(
    7
  7874. The video was helpful. Thank u👍🏼
    7
  7875. I studied complex analysis about 10 years ago and I forgot so much!
    7
  7876. nice video
    7
  7877. is this a subtle attack 😂
    7
  7878. Someone by the name Elon insist we move to mars for a “longer” day. Maybe he knows something about math?
    7
  7879. I learnt C from this book during my college days. Later I worked in VLSI industry and now I am a police officer. Even now I use this book to develop software for improving police system in India.
    7
  7880. Great and sussy video I'm subbing
    7
  7881. 3:00-3:08 Here's my advice: use chatgpt and prompt it to explain the concepts clearly as if you were in grade school. Because a lot of math books are indeed very confusing to read with all that technical math jargon.
    7
  7882. I'm in grad school right now and really needed to hear this.
    7
  7883. Lol that laugh, followed by “ and I get haters and stuff”
    7
  7884. Thanks!
    7
  7885. Sir pls make a video on Ramanujan one of the legendary mathematician like many others as u said
    7
  7886. I'm sorry you got that man, hope you get better and keep on doing maths
    7
  7887. So basically killing curiosity for idiotic grades. Cool
    7
  7888. Agree about color in the books. All my intro books were very colorful and had lots of pictures. But many were pictures of students having a good time at college. Not really helpful. I knew that my education had got serious when I was assigned a text in just black and white (Wackerly's statistics). Color does help for certain diagrams but its as if, once they go with the expense of color, they go too far and make it distract from the content. Though many students at my university used Stewart's, I ended up with Adams & Essex. Its the one with a desert on the cover. Adams was also into typography and it shows on every page. I think they only used 3 colors through the entire book.
    7
  7889. Yes! Fantastic book and material is explained in clear terms yet very comprehensive
    7
  7890. Anyone else pause the video at 3:27 and read the 5th & 6th line? Dude, you should... it's pretty metal! 🤘
    7
  7891. Im going to be working on beginning learning spanish soon, and Im a math major, so this seems like something I should have in my arsenal. Glad you posted this video
    7
  7892. Old books are amazing. I feel that they teach better than new books!
    7
  7893. The correct answer would be 5×sqrt(2)×|c|×d^2
    7
  7894. Hey Math sorcerer, how are you! I have a question. I am studying a data science degree and also I am working in the informational field but I really enjoy maths. So the question is, after finish this degree should I start the maths degree or can I study by myself maths, just like as a hobby and because I would to create new math, because I don't really take care of the title as I would have one. Gracias por tus videos 😉.
    7
  7895. Thank you for the detailed working, I appreciate it.
    7
  7896. You've been cranking the content lately!!
    7
  7897. True, but it’s 30 years.
    7
  7898. Life is a dream ... just a man and his pencils
    7
  7899. I love it! He's hilarous at 0:06 "Oh, I guess I should make it harder, right? It's college" Meanwhile me in the background: nuuuuuu
    7
  7900. A ha!!!! Topology!! Such an intriguing field of mathematics on which I have many volumes of books in my private math library!! Thank you lots for producing and for posting this one, MS!!! :) :) :) :)
    7
  7901. Really amazing... fractions cause a lot of potential for error... this is super amazing.
    7
  7902. Nice to know it. Thanks 🙏🙏
    7
  7903. Another amazing installment! Would love a yearly recap of the book recommendations of the past year.
    7
  7904. "at the end of the day you will have to work" ... yeah, that was something I wasn't prepared for. I was coding since when I was young. And now I have to on an everyday basis defend everything I do against "opinions" of career developers who think they have to make themselves significant by declaring anything to be "bad code" etc, seeing if it sticks and they can finally fight their imposter syndrome with exposing someone. Wasn't prepared for that.
    7
  7905. your videos motivate me, thank you very much
    7
  7906. I’ve been looking to get into discrete math recently. Followed the link and bought it for $7. Thanks for the recommendation!
    7
  7907. If Jeff Bezoz was a mathematician
    7
  7908. Cheers man, and have a Mathematical Christmas!
    7
  7909. just exactly what i was looking for! thank you sir! 🙏🏻
    7
  7910. It's probably a great way to combat age-related cognitive decline. It's just good to have fun, enjoy it for its own sake anyway. You never know when and where you might be able to use it. You might even be able to pass on your knowledge and books to someone else who's just beginning their journey, too.
    7
  7911. Perfect timing, STARTED tonight and I'm going to become the woman I admire to be, With God I lack nothing, Im going to win by God's will. ( 6/3/25)
    7
  7912. Professor i really love u😭❤
    7
  7913. Pizza!!! Have you ever heard that exist some countries in the world that make chocolate pizza? It is strange, I know, but i liked it
    7
  7914. Ultimate setup for YouTube and teaching online 🤙
    7
  7915. A MIT faculty member probably knows the tricks of getting student noticed by employers. That member used a comparison of a student to David Hilbert so to give that student a leg up on a career ladder. Maybe I am wrong.
    7
  7916. I laughed so hard! This is great, I vote for more videos like this ahaha
    7
  7917. this channel has helped me so much, i was rejected by my school and they didnt gave me maths but instead a boring subject. With your help im studying math by myself to prove em wrong. THANK YOU
    7
  7918. What you seeing?
    7
  7919. How crucial is memorizing the multiplication table in early school? Is arithmetic a must??
    7
  7920. I gave up on my calculus II class this semester. Online learning isn’t my jam. Corona really screwed me this semester. But I’ll try again in the fall 👍🏻
    7
  7921. I use Fountain Pen
    7
  7922. I could listen to this guy all day, he's great hahaha
    7
  7923. Thanks, I needed this 🔥
    7
  7924. I just received my grade for differential equations and I passed!!! I want to thank you for your videos, channel, and advice it’s been so helpful.
    7
  7925. First , Please do one for Aspiring Aeronautical Engineers❤
    7
  7926. How did you guess I was going through this? I am having a lot of difficulties in Analysis.
    7
  7927. I had to solve a question like this without using the l'Hôpital's rule and I was so lost! This video saved my life, TYSM!
    7
  7928. Pretty good video, but it seems like you call f(x) values “y values” which can be confusing given the definition. The definition states that both x and y lie in the domain of f. What that means for the definition is that you can think of x and y as 2 different “x values” (by x values I mean domain values, as in they are defined by their position on the x axis). For uniform continuity, we see that the difference between 2 points is arbitrarily small (less than delta) and thus the difference between f(x) and f(y) is also small (less than epsilon). By small, I mean small enough to satisfy the definition of uniform continuity. The rectangle visualization is still correct though. When an f value (escapes) the rectangle, that would mean that abs(f(x)-f(y)) is no longer less than epsilon and is therefore not uniformly continuous at the point (y,f(y)). I hope what I said can help anyone who might’ve been confused by that. If it was just me who was confused than oh well.
    7
  7929. Soviet Union was excellent in maths. Yet couldn`t engineer a single decent car, Tv set , radio or washing machine.
    7
  7930. When I score 10 on the test, I feel the most intelligent in the world, but in the first exercise I encounter difficulties I feel insignificant again!!
    7
  7931. Another book that defines a topology trough neighborhood systems is Elements of Point Set Topology by John Baum. That's the one my topology i professor based her course around and it's pretty hard to find. There was only one copy of it on my school's library but I think it's a pretty good book. I'm not gonna deny it, I think that the definition trough neighborhood systems is a little bit rough and it took me a while to get the equivalence to the definition given by open sets. I believe it's a good insight on topology
    7
  7932. Fantastic proof¡¡¡¡
    7
  7933. Sorcerer does this mean you will do financial based mathematics in the near future or just stick with the current curriculum?
    7
  7934. NO FUCKING WAY I HAVE THE SAME BOOK PLS REVIEW AXIOMATIC ANALYSIS BY KATZ GOOD BOOK TRUST ME
    7
  7935. Não sei como cheguei nesse canal, mas o conteúdo é ótimo! Obrigado =D.
    7
  7936. All I've gotten from these surprisingly easy old tests is that I should have been born 30 years earlier haha
    7
  7937. My entire library is filled with math and physics books I don't understand. It's like a journey to one day open one of those books and suddenly realize "Hey I get it now!" Thanks for another awesome video. I'm curious. Which type of physics class is good for math majors? Is it General Physics (precalculus based) or Analytical Physics (Calculus Based)? My community college offers General Physics to math majors but I'm really interested in your opinion on the matter. Thanks
    7
  7938. Survival 😂😂
    7
  7939. Just got the book. Planing to finish pre-calc this summer, I thought this would really help since the high school textbooks are so dense and stupid.
    7
  7940. Love Dover! Still have a bunch.
    7
  7941. it really inspiring to hear from professionals about how to actually get better in the real world, and it seems to me the intelligence should generally incorporate open mindedness, creativity, collaborative skills, dealing in the truth and ability to motivate others all based on high personal standards. If you are a positive node in your network/job/group then to me you are very intelligent!
    7
  7942. I really don't know where to post this, but I just took my analysis final today. I dont think I'll pass analysis this time around, but atleast I failed the class knowing that I've done my best this time. Next year I'm taking the class with a distinguished professor in the field inverse problems... kind of intimidating but I think I can do it if I keep trying. Three times a charm right? In the end though, I got a job as a digital nomad with natgeo so, even though college hasnt worked out, I atleast got my dream job for the spring next year.
    7
  7943. Please sir..... Never feel demotivated because of views, likes and etc...because we do Mathematics as it is beautiful.......
    7
  7944. Yes!!!! I have a test on this Sunday!! awesome!! Thank you!!!
    7
  7945. I started reteaching myself pre-calculus at age 25 and now I'm taking a multivariable calculus class at age 30. How math makes time fly.
    7
  7946. I remember in on of his videos he mentioned that it just takes time and that some people understand math quicker than other people but don’t give up is what he said ! And I think that’s really awesome to have that motivation really great guy ❤️❤️❤️
    7
  7947.  @TheMathSorcerer  Are you from Guanabacoa by any chance?
    7
  7948. When an author titles a book "advanced calculus" rather than "real analysis" is it because there is a different approach to the subject? Also, sometimes in speaking or writing people will call calculus , "the calculus." Is there are reason for that ?
    7
  7949. Wow. What a perfect time to upload and share this video. I am currently feeling a major amount of pressure from school(currently taking calc 2), work, and internship. Thank you for this! Now. Going to appreciate math again.
    7
  7950. In my case, real analysis was really hard course. When I study math, I’m understanding meaning after making images in my mind at first. But in real analysis to prove those things using mathematical symbol, sign and languages logically was really hard for me. I think my major was an electronic engineering so I was not familiar with mathematical skills.
    7
  7951. The artwork, diagrams and graphs make this book absolutely a worthy purchase
    7
  7952. Early in my career I attended a "creativity" seminar sponsored by someone from the Walt Disney organization. He told us copying everything the prof puts on the board is a poor note taking practice b/c you can either be in "copy mode" or "process mode," meaning processing what the prof is saying ... OK, copy everything but after class you don't have any idea what went on for the last 45 minutes ...
    7
  7953. I had a 1.6 Star professor and he was arguably my favorite professor, he was just rated poorly because the majority of people who took his class just didn’t do the work... there wasn’t that much, but it wasn’t required so the people who didn’t do it just didn’t learn, but the exam problems were nearly verbatim from the hw :/
    7
  7954. I would say, never "run away" from a problem, like when you see a problem that is too hard and you don't even bother trying to solve it, never do that. Another thing is almost the opposite of the one above, it's to never mentally solve a problem, meaning, don't just look at a problem and be like "oh i know this, you do this and that" sometimes it is a waste of time because you truly know how to solve it, actually most of the time, but sometimes it could be a huge knowledge gap highlight.
    7
  7955. Its been 50 years since I had a math class. There is a very large difference between needing a refresher and tackling something entirely new to you. However, needing a solution immediately lis a problem. The memory works slowly. When you puzzle out a problem to a standstill, a good night's sleep can help you recall certain tricks or procedures, their existence, not necessarily the details. Wikipedia can help a lot if you know what to look for. Related techniques can help a lot. A sailor who has used celestial navigation has a head start on a cartographic problem. A geneticist may be able to help a physicist when the problem is the statistics of noisy multvariate data. The essence of math is applying appropriate tools to new problems.
    7
  7956. I passed my last test with 81,5%still it is so bad. I hope I can smash my final tommorow.
    7
  7957. Perhaps, but Spivak is not so much a calculus text as a basic Real Analysis or "advanced calculus" course text. It's something that should not be read until after you've covered writing and comprehending proofs.
    7
  7958. Your style is so good and simple that anyone will understand whatever topic you teach. I always share your videos with my friends
    7
  7959.  @TheMathSorcerer  , The advice given by most Youtubers is to study with the intention of working for Goggle and similar companies, so they advice learning Python. I am 62 years of age, not using my age as an excuse, have all the time in the world, and do not gloat about having a job with Google. Yea, I know, I am studying aimlessly with no goal in mind. Not really. I do intend to support my self study with some courses on Google coursera, so while I self study it will help my progress tremendously when I start taking online courses. That is the strategy I plan, so I will take as long as I need to self study, not just programming, but fundamentals of computer science as well, operating systems, databases, html, SQL, network fundamentals etc.
    7
  7960. What's the name of your bird? He or she is beautiful!!
    7
  7961. we need long philosophical video again, love you math sorcerer, may i know your name ?
    7
  7962. The math teacher I've always wanted... And now I have!
    7
  7963. Clean, great and simple explanation!
    7
  7964. I ALWAYS share in your enthusiasm over the math books you present and review on your videos!!! Thanks so much, Math Sorcerer, and all the best to you in 2021!!! :) :) :) :)
    7
  7965. Hey math sorcerer, it would be awesome if you take some interesting questions from toughest math exam like jee, putnam, Olympiad, gaokao, etc from all around the world and solve those and also add your thoughts regarding those questions at the end of the video..
    7
  7966. This paragraph isn't directly answering the question except in the case of missing something. With either a school where there's a teacher or studying alone, it seems like the goldilocks problem: school goes too fast, self-study goes too slow and as the questioner mentioned, in both cases I wind up forgetting more than I would like. I know this is somewhat to do with my horrible review regimen. But even with a good review schedule, the speed problem seems to still be wrong. My goal is 1 textbook per 6 months, not just 2-3 chapters, but the WHOLE book. Neither schools nor self-study achieves this amount of learning in that time frame. Couple of additions to what you said already: 1. Maybe not the best way, but I use one book for notes and put the name of the textbook and the date when I start a page. Then all the notes aren't scattered all over the neighborhood. 2. Random selection is fun, but for now, I'm focusing on my weakest area and trying to get through just 1 textbook on that subject to strengthen up those weak spots since I'm tired of seeing the same mistakes or having the same issues with every other subject. Again, just some ideas that maybe are done better by others with more skills than I have.
    7
  7967. Hello Sorcerer, how do those compare to modern books for someone interested to read the whole Lang's series?
    7
  7968. a Number Theory video perhaps Id love to see your number theory collection including rare items
    7
  7969. Comp Sci is assumed knowledge now, it is a must! Now most good programmers i know talk very little about what they learned in school but are constantly self learning from programming and networking with other practitioners vs taking more classes. but CS will not give you that mathematical frame of mind, I can at times see combinations or structure my work in more creative ways due to the theoretical math classes i have taken.
    7
  7970. I am from Pakistan
    7
  7971. I have recently decided to study math as a hobby after years of falsely believing I was bad at month. While searching Amazon, I found The Princeton Companion to Mathematics. That book opened my mind too all of the richness and vibrance of math. I also found this channel. All of this makes me excited to travel on this journey into mathematics
    7
  7972. I love when I think that I’m finally working a problem right but then get that the volume equals 0.
    7
  7973. I tutored Physics & Math both as an employee of the Physics Department, and freelancing. I also worked restaurants in the kitchen. My school was in a tourist town, so there were lots of them.
    7
  7974. I Love it can't get enough of your content.. Precalculus and beyond 🚀🛰🚀
    7
  7975. Great advice. I went through each of these problems at some point of my life but perhaps the main problem I always had is the lack of a quiet space. If somone here has that problem I encourage you to get a pair of those ear protection devices like the ones used by shooters or construction workers. They are fantastic for blocking noises.
    7
  7976. Taking calc 3 and linear alg next sem. Wish me luck, thanks for the encouragement fam
    7
  7977. Lovely !!!! Can you do more uf such videos ?
    7
  7978. Taking a 5 week ODE class starting january 3rd. Been watching your differential playlist and amazingly enough your class uses the same book as we do so I've been using your lectures as a way to get ahead so I can get an A. thanks so much for your time and effort.
    7
  7979. Short, to the point, and powerful. Awesome job!!
    7
  7980. Math Sorcerer, could you make a video for "Everything in Statistics" in order for someone to become a Statistician?
    7
  7981. You're one of the best people on earth Sorcerer. Peace 😎
    7
  7982. I actually disagree on the idea that there are alot of ressources available. As soon as you start to get deeper into a bit of a complex topic, it becomes insanely difficilt to find good content. Electronics is a good ecample, I tried to learn circuit calculations of components at high frequencies. It was virtually impossivel to find anything useful, i had to buy a 100€ book that had some partial answers to my questions
    7
  7983. Thanks!! I wasted 30 minutes in this problem and was about to give up questioning my life choice BUT you've made it easy!
    7
  7984. sus
    7
  7985. The trick is to associate failure with learning and mental growth. When I get any test back my first reaction is to go over questions I missed and try to figure out patterns in questions I missed. In programming we call it root cause analysis 😀. Highly rewarding exercise and slowly it makes you not even care about your grades. The only thing you look forward to is “debugging your mind”.
    7
  7986. Yup, this is a phenomenal intro to analysis - afterwards, or if it's too easy, check out Spivak's Calculus
    7
  7987. finally i got it it makes so many things clear thx!!
    7
  7988. this is literally the exact question I had and I had no idea what it even meant. Thank you
    7
  7989. Series are getting to me😅 for me it was cal 1.
    7
  7990. I was watching gay tik toks and I don't know how I end up here but thanks for the info even though my engineering is almost complete.
    7
  7991. 0:48 You can pick up this book and use it for a workout Is what went through my head.
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  7992. Here I come with some rambling nonsense. Discourse always appreciated. If I were to start all over again, I would definitely start with Discrete Math and a little bit of proofwriting! The early introduction to sets and logic is really important imo, and proofs diverge (no pun intended) from the standard “mechanical” problem solving that mathphobes bemoan; the creative side of math is sorely underrepresented in early math education. The basics of sets and propositional logic could be explained to a child, and they will be a great boon in nearly all the math you will study and in the real world. Multiplication principle and subtraction/addition are both very easy to understand, and they lead naturally into combinatorial proofs which can be delightful (cf Proofs That Really Count). Counting also leads naturally into probability, which answers the “I’ll never use this!” crowd. Bijection proofs introduce functions in a much more intuitive way, imo, than the graphic approach used in high schools, and are much more interesting than the dry linear functions they start you with in precalc. After that, I would start on elementary number theory for proofs and algebra. I would then take a historical approach to number systems, algebra, and analysis. They are so much easier to motivate in context, and it shows students how math is really done. Call me crazy, but I would also approach category theory from a very very very elementary perspective, again motivated by history. Then perhaps geometry, from Euclid forwards. Students aren’t interested in a topic when you just throw equations and theorems at them, and then send them right away to problems. They should understand how the mathematics arose and why. Most importantly, I think they should be exposed to the beauty of math as an art Calculus is interesting and very useful, but the only reason it’s so emphasized (hot take incoming) is the engineering/finance assembly line. I would argue we are doing students a great disservice by shoehorning them into this path.
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  7993. Hi, I hope you are having a great day. I am reaching out to ask for your advice as I am currently struggling in my math and physics classes. I find the material easy, but I am having trouble accurately reading and interpreting information from exam papers. For example, I sometimes see a "3" as a "2," and I often mix up the signs in trigonometry transformation formulas. This is causing me to make many mistakes in my exams. Do you have any advice or strategies that can help me overcome this problem? Any help would be greatly appreciated, as it would significantly improve my performance in these classes. Thank you in advance for your time and assistance and i really love the videos your subscriber since 200K
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  7994. Went through the book during my internship, not gonna lie, got me hooked in the subject instantly. Thanks for putting this up...
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  7995. sir its just a lesson that cleared the concept of cardinality
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  7996. I'm fascinated by these old maths books. Computers didn't exist when this book was printed. How were those perfect function graphs produced? Lithography was rare at the time, and I believe it was used mainly for colour printing. If the book was letterpressed, somebody -- or a group of people -- had to typeset that whole thing, including mathematical symbols and graphs. That must have been a ridiculous amount of work. And how were the graph blocks manufactured? What was the book's price at the time? It couldn't be cheap. A couple of weeks' wages? The printing quality is superior to that of many cheap-edition books of today, 120 years later. I find that amazing. Also, that signature on the first page was made with a fountain pen, not out of choice, but because it would be more than 40 years until the first commercial Biros were available. Very cool stuff.
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  7997. This textbook should be in a museum 😂
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  7998. I really love algebra! Thank you a lot for the video! Could you talk about the book Undergraduate Algebra of Serge Lang?
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  7999. 0:59 Omg! I fell on the ground! 😂😂😂
    7
  8000. Man I feel like this video came at the time where I needed it most. I've struggled not only with fear but resistance all throughout my educational career and I'm trying now to finish my degree once and for all.
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  8001. Hi, Prof! Thank you for the videos. If you have time, please create a video on how to be a respectable mathematician that self-learn, like how to involve in independent math research. Thank you again :):_old:
    7
  8002. I had the pleasure of having Lawrence Washington for Cryptography at the University of Maryland. One of the best professors I ever had. You could really tell how passionate he was about Cryptography.
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  8003. Sir, please make a video on Completion Theorem on Normed Spaces in this textbook.
    7
  8004. Another excellent book is BRIDGE TO ABSTRACT MATHEMATICS by Ronald P. Morash
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  8005. This seems more semantic than anything else. Homework is practice of what you have learned, which is often instructive in its own right. There may be practical hurdles you face when attempting to solve a problem, that you did not encounter when studying the material, which allow you understand and do more in particular scenarios where theory alone has not been sufficiently instructive. For instance, when reducing a matrix, you may have an understanding of Gauss-Jordan elimination, but you may need to practice to understand how to reduce in a way that yields a particular parameter in a parametric solution. Or, in physics, you might know to combine a system of equations in order to isolate and solve for a variable, but only by working out the algebra, can you understand that a particular method yields a particular trigonometric identity, which allows you isolate a single variable. This is something you can't understand just from studying the theoretical underpinning. You must work out the problem.
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  8006. You shouldn't be buying sugar. That's a bad habit!
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  8007. LIFE LONG LESSON
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  8008. Post-it notes (p.300) at 2.25 were marketed from 1979. So the book was used for quite some time.
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  8009. Helpful 🙂🙂🙂
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  8010. Very simple indeed
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  8011. Legend says some well-known professors found that some "obvious" proof in Lang's algebra wasn't "obvious" at all, and they even wrote articles about that. Of course by "obvious proof" I mean sometimes he just didn't finish the proof and just wrote "Obvious." as a filler. Just have no idea what's going on when he was writing 🤯 Also it's just ok to find that you can't understand Lang's "examples". First year graduate cannot to be expected to understand many of them.
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  8012. Say, what's your thoughts on using fib's on candlesticks on stocks?
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  8013. Ive been meaning to delve into esoteric Brazilian math, thanks Wizard 🧙🏼
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  8014. Nice proof. You can also prove it directly the 2nd part which to me is much simpler I think. If 11x - 7 is even then 11x - 7 = 2n for some n in Z, but then 11x = 2n + 7 = 2(n + 3) + 1 for some integer n + 3 which means 11x is odd together with 11 being odd, means x is odd.
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  8015. I'm self-studying chess at the moment. Unfortunately I've found out that my true passion in life does not involve any of the STEM fields which I've always excelled at in school. Fortunately I did find a passion in life, and for the past year or two it's given meaning where previously there was none. I've encountered all of the things you've mentioned, and for a lot of other things I've tried in my life they were barriers which I dealt with by giving up. After seriously starting to learn chess, I can confidently say that getting good at something more than anything involves not giving up where most others have. Every barrier you face in whatever it is you're learning - understand that a myriad of people before you have encountered it, failed and given up. The ones who mastered the field also encountered those barriers, failed, but they kept going anyway. When you encounter something which makes you think: this is impossible, sometimes it's important to ask: but what if I do it anyway?
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  8016. Same age,same situation. From the beginning! Let us do this!
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  8017. 21 is actually considered young in my country to start college, because there's mandatory army service and you only finish it at 21. Then you need to study for the psychometric (kinda like SAT but harder), and a lot of people travel and work and save money before starting uni, so it's common to start at 22-25 years old ^^ So it's just a matter of perspective. I started at 22 and now graduated with a math degree ^^ You can do it! <3
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  8018. So very true. I like to recommend that people "just start". The results are amazing.
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  8019. Everyone knows SPEED is important Paul Erdos was addicted to meth
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  8020. I had no idea you had full lectures on here. Just those short videos were already amazing but man this is awesome. Thanks
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  8021. Oh It feels very Strange to know that You got into Mathematics by Luck.(That's Very Rare I think) Here is my Thought about computer science.(In India) In India Students of class 12th work hard 2-3 years to get Computer Science in Most Prestigious Institutes for Engineering in India(Known as IITs) They put Computer Science on the top in their Priority List of Branches of Engineering. Because According to Them It has 100% very high placement guarantee. There's Is a Blind Hype for Computer Science but I think There is A new Emerging Branch Called Mathematics and Computing. I think in Few Years it will Overtake this Pseudo Hype Of Computer Science.
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  8022. I got to PreCalculus with ease. I am trying to study Calculus on my own and dont fully get it yet.
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  8023. Por favor/ Please
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  8024. I thought this was a maths channel. Now it has become a channel for motivation, book reviews, life advice 😞
    7
  8025. Amen! Your answers are always spot on bro! Your advice is an inspiration by itself. Take care
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  8026. Thank youuuuu
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  8027. My teacher sucks in explanation I'm in my 12 grade in India but PPL here are just behind blind formulas no visualization at all so once I asked my teacher y does actually Dot product work he just threw my book n said u don't know the formula I said noo then again he got angry on me and asked me to learn formulas that's when I got intrested in math n I decided not to go to engineering I want to become a mathematician I know it's too late but I know I'll succeed
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  8028. the older the book the better
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  8029. Funny skit? More like scary reality.
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  8030. Smh why didn’t I see this video before the summer course I just finished My professor actually mainly taught from Schaum’s outline and I bought Munkres to look at the pretty proofs.
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  8031. Thank you for this, sir. 🥺 Thank you for this channel. Please don't ever stop.
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  8032. I saw the title but read "Finding your Mathivation"
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  8033. Please make a playlist of logic books you have reviewed
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  8034. Amazon now has this one for sale
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  8035. I ran into a few classes that I thought were way tougher than my math classes: Junior level Classical Mechanics in Physics beat me up pretty bad, but from what I understand, the Professor was bad (would've liked to have known that before I signed up for it) and the book was an old graduate level textbook. Also Computer Architecture and Organization in Computer Science. The CS class was one of those classes where it felt like nothing related back to what I ever studied before. The instructor was fantastic, and a really good guy, but tough. I was happy to earn that B. We won't discuss the grade I earned in that Physics course. It wasn't pretty.
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  8036. Ok... I finally finished the "College Algebra" playlist, maybe I forgot a few things, but I learned a lot of new things that no one taught me beforehahaha, so thanks for this and I wanted to ask, Do you know any good youtube channel about physics?
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  8037. Thank you so much, honestly. I've worked on my calculus assignment the whole day and got really upset in the evening...^^ This is a beautiful reminder to keep going, because I really love this subject, as hard as it may be sometimes. Greetings from Germany!
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  8038. Very encouraging! Thank you, professor 😊
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  8039. I used this book to learn Linear Algebra, Vector Calculus, ODEs, PDEs, Compex Analysis and Numerical Methods, both for my Engineering Math courses and for an engineering competitive examination. In the competitive exam, I had limited time and needed to study 8 or 9 other subjects apart from Math, in a limited time of 10 months. But the exposition and revelations were so exciting that I ended up wasting an extra month on studying Math. Ended up scoring lower than I could. I don't regret it. 😌 Note: for anyone wishing to learn the vector calculus and DEs part, you'll need an introductory course in Calculus (Sequences, Limits, Continuity, Derivatives, Integrals and Multivariate calculus) to start working on this book.
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  8040. u saved my life
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  8041. I have a question about learning math. I’ve heard people recommending to skip questions if you are spending way too long on them and not making progress. I think the idea is that, once your understanding of the topic has deepened, you can come back to it later and it should be easier. When going through lecture notes or textbooks, I often find lines or logical steps in a proof that I just can’t seem to justify, even after 30-60 mins. As I get quite perfectionist with math, this sometimes makes me feel like giving up on the proof or the topic itself. I was wondering whether it’s a good idea to treat these things like hard exercises and just come back to them later? And if you do come across one of these logical steps that you can’t seem to understand in a proof, do you think there is benefit in accepting that step at face value and them continuing on with the rest of the proof? Do you find that these things fall into place in your mind later on? Thanks
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  8042. Jeff Bezos???
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  8043. Really very helpful video many concepts get cleared 🔥... Thank you so much..
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  8044. "I love solving all the exercises which were left for the reader."
    7
  8045. I remember getting 1 putnam math question right. I was over the moon! Cause I knew just how difficult those questions were.
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  8046. The early bird gets the worm, but the second mouse gets the cheese....
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  8047. I just came home after buying Schaum Discrete Mathematics by Seymour Lipschutz.... And then you post this... Please tell me that I bought a good book?
    7
  8048. I once rescued a copy of Calculus with Analytical Geometry by George Thomas from someone's recycling trash. To me it was like throwing out the Bible.
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  8049. Dear math sorcerer, why don't you write your own workbook? I think many of your subscriber would be interested of it because you always say that practice is the key to become 'math master'.
    7
  8050. They need to market design masks that have microphones installed into them to project voices to outside audio devices.
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  8051. 0 dislikes. Way to go who can dislike this professor? No one.
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  8052. Usually they are for PhD programs only, and in the rare cases where they are applied to masters students they get paid less. PhD students get priority.
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  8053. This was one of the better books I've read, out of all of them.
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  8054. This doesn't bode well for me; Calc 2 test this week and I'm already not doing great. Really need a B/B+ or higher. I especially hate that the grades are weighted towards over 90% for tests/quizes. This video feels like an omen.
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  8055. My friends think I'm insane to write my notes instead of getting printouts. But honestly writing notes helps to memorise better.😊
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  8056. Thanks for the video.
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  8057. Just to clarify ramanujan never struggled with grades in school.. he was exceptional in maths from a young age. He had mastered advance maths at the very young age of 15 and rediscovered many theorems. He only failed his humanities subjects for which he had no interest but as far as maths is concerned, he had natural intuitive mathematical style only founded in Euler,von Neumann and others.
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  8058. You never know, he may be the biggest trash talked on League 😅
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  8059. I'm going to say focus on producing the best results you are humanly capable of producing, throw your all into the universe and the universe will throw itself into you.
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  8060. Doctor is there a possible way to share the notes with us here :D ? Thanks a lot.
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  8061. Being comfortable with not understanding something is the hardest part
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  8062. you’re amazing i’m grateful i’m able to watch you
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  8063. Congratulations, this is great!
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  8064. I smell not only old books, also pine timbre like your table. I love woodworks. I will order that book next and also those on ordinary differentiation equations and partial differential equations. I am collecting maths & physics books for my home library. At present, I have roughly 15 books. My mother despairs seeing my book collections. I am almost finished with James Stewart's "Calculus, Metric Version" and Susanna S. Epp's "Discrete Mathematics with Application." I got them after your book reviews. Last week, I received 7 books in the post: one on applied mathematics, four on physics and two on respectively classical mechanics and quantum mechanics. I am starting physics from high school level and gradually pulling up to university level. I will consider other branches of physics in 6 - 24 months time, those like thermodynnamics which I have explored at Wikipedia and Open Library. I leave the hardest to the very last.
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  8065. Caffeine isn't the only stimulant Erdos used...
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  8066. I'm argentinian and one of my role models is Adrian Paenza, you can google him, is one of the best maths disseminators i've ever seen.
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  8067. I just found out another book on algebra "undergraduate text on algebra" by Serge lang. Please suggest which one is appropriate to choose as I am at undergrad level! Your suggestion would be appreciated.
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  8068. Hey, a small suggestion if I may ! After having finished compiling your list and making the video why not add the list to GitHub and the community can refine it with time ! In fact, a great idea would be to point out the best videos (or courses) that delve fully into each book/topic so that there would be something along the side ! Thank you for your contribution <3
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  8069. You must be very smart :)
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  8070. You missed one curious detail: Allyn J. Washington was a descendant of the first president.
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  8071. classes are remote, i pay attention to class figure out what the topic is and the afterwards come straight here to actually learn , this channel should be given to all stat students
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  8072. Hey man, great elaborate video and insight! I have a question for you that you might be able to shed some advice on if you don’t mind answering: I’m doing a double major in Aerospace Engineering (BS) and Mathematics (BA) with a minor in Philosophy. What do you think my chances are of going to grad school in math? After some industry experience with an internship and seeing how the pandemic has affected the economy, I feel like grad school is something I definitely want to do, but I don’t want to make the wrong step toward a disastrous endgame. I love learning so much, but my grades began slipping when both majors became difficult (average of B’s in math classes). Is grad school right for me? And can I get in with only a BA in Math? Thanks!
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  8073. This video make so much sense and meaning and I can relate a lot 2 it but wish to learn more that is so good. Thanks.
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  8074. Great video! I agree with everything you said! Not only is learning to teach yourself math a key to confidence and success in school, but it will ensure your pleasure in mathematics after schooling as well. Another thing I’ll add, related to how people react to you being a math major, is people who aren’t into math often don’t realize how vast and how abstract it gets. So to a lot of people you’re “the math guy” but this basically just means to them you’re “the numbers guy”. People would make remarks to me about doing this or that with numbers and I’m thinking “I haven’t seen a number in weeks, the last time I did mental arithmetic was to tip the pizza delivery guy, and that was a month ago because I’m too broke to afford another pizza delivery”
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  8075. Could you please review that graph theory book right behind you? Also, congratulations, I just realized that you reached exactly 30 000 subs when I am writing this :)
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  8076. And I'm sorry if this sounded really stupid, I dont know if I was able to convey it properly through literature, there's just this intuition in me that is hard to pen down, or it's just that im dumb 😂
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  8077. Wow that was so simple! And I was over here overthinking it. Thanks!
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  8078. First
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  8079. Many of these training books were just off-the-shelf academic books reprinted in paperback for the US Army. The book from which I learned astronomy ("Astronomy" by R H Baker, went to many editions) was used to train navigators in WW-2.
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  8080. 4:25:27 No bro, you are the cool one here. You made me LEARN and LIKE calculus. I couldn't thank you enough!
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  8081. Not only in Maths, the time factor applies to all fields of study in my experience. It's more so in case of Maths because of the abstract representation of the subject as compared to other subjects such as Physics. Many-a-times I have passed subjects with good grades but when I look back I haven't really understood them. And the only reason was that I didn't spend enough time with those subjects. Another great hurdle in understanding in any subject apart from time, in my opinion, is finding a book that resonates with your way of comprehending and understanding things. Once I get a good enough resource, time is the only barrier to get a good grasp on that subject.
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  8082. I use the Portacle IDE for Common Lisp and I've been reading Paul Graham's "ANSI Common Lisp". The only reason I'm interested in Lisp is because it was an early programming language used for artificial intelligence research. I think there are specialized PCs called Lisp Machines which might be valuable collectibles.
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  8083. I have taken rudin recently, will surely try this after starting with serious topology :)
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  8084. You've helped me more than my university could ever hope to. I wish I had a teacher like you.
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  8085. Nice book cover
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  8086. As an undergraduate taking calc I, enjoyed the class, I understood it well. But good god can some profs make the exams a living hell, I can’t even see how it is possible to get an A+ on an exam that has an average of 50% besides them curving the class. Any advice with university level math would be great, thank you so much love your videos ! 🖤
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  8087. Sir please make videos on logarithmic inequalities.
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  8088. With math, I can study ridiculous parts of the day away. It doesn’t feel like studying, I love the material. Of course I work out in mornings, and have morning and evening routines to keep my mental health good. I go to sleep at a specific time and I wake up at a specific time. So it’s not like math is destroying my mental health or physical health. Also, I take breaks whenever my brain becomes mush.
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  8089. From the foreword of the book: "Pascal is for building pyramids -- imposing, breathtaking, static structures built by armies pushing heavy blocks into place. Lisp is for building organisms -- imposing, breathtaking, dynamic structures built by squads fitting fluctuating myriads of simpler organisms into place. The organizing principles used are the same in both cases, except for one extraordinarily important difference: The discretionary exportable functionality entrusted to the individual Lisp programmer is more than an order of magnitude greater than that to be found within Pascal enterprises. Lisp programs inflate libraries with functions whose utility transcends the application that produced them. The list, Lisp's native data structure, is largely responsible for such growth of utility. The simple structure and natural applicability of lists are reflected in functions that are amazingly nonidiosyncratic. In Pascal the plethora of declarable data structures induces a specialization within functions that inhibits and penalizes casual cooperation. It is better to have 100 functions operate on one data structure than to have 10 functions operate on 10 data structures. As a result the pyramid must stand unchanged for a millennium; the organism must evolve or perish." Google "SICP BOOK"; find the free online open access text at mitpress dot mit dot edu slash sicp
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  8090. Trigonometry is the only good thing that exists in Maths.
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  8091. Dang, fast and right to the point. I have my calc 3 final in an hour thanks
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  8092. I guess this is what Jeff Bezos would look like if he had gone into academia.
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  8093. In The Legend of Zelda, there's a money-making game which costs 100 rupees to play. You choose one of three boxes and get either 1 rupee, 20 rupees, or 300 rupees. The expected value is (1)(0.33) + (20)(0.33)+(300)(0.33) = 107 rupees. Pretty mediocre.
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  8094. Neither choose Physics lol
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  8095. thank you so much for this video, you saved me from a mental breakdown lol
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  8096. I am thankful to you! I am your new follower.
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  8097. First of all, thanks for the video everything is more clear now. Today I had my first exam at college and I had to proof that if A is a countable set then so is A^n by induction. Can you make a video of that?
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  8098. Thank you for this video. I have a little request: I studied economics in high school, where the math was really simplistic, I learned some basics of calculus, and analysis of progressions (That's what we call it in our country, I don't know if it is correct); however we have not studied complex analysis and many other interesting math fields. I am getting my degree these days, and I am looking forward to learn math on my own, I enjoy solving problems and I am ready to do every exercise that I can find, but my main concern is that I may neglect certain fields that are interesting. I am currently trying to study the basics of trigonometry as they were not included in the calculus I learned. I would be grateful if you were to make a video explaining how would you go about learning math from scratch (well, we'll assume that scratch means we can solve equations and do simple arithmetic), and what are the resources that you would use. I saw a similar request to mine, I just wanted to share my situation and perhaps make your video a little bit more specific for my case. Thank you again for your videos, although I do not understand most of them, I am looking forward to the day where I learn enough math to be able to understand everything here.
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  8099. im very bad at math and my lecture just talks and doesnt explain so im actually completing my worksheet rn, and i am so grateful and thankful for videos like yours❤🌻
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  8100. You might consider George Simmons calc with analytic geometry 2nd edition. Non rigorous but makes everything “very difficult or impossible to doubt”. Has very good exercises that focus on understanding after the computational problems
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  8101. I thought that too^ It's so sad to see that.. People who do right stuff for community they mostly suffer
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  8102. Here's how I approached writing my masters thesis, and my doctoral thesis. I started by writing very informally, like I would in an email to a friend. You can make it more formal later - but don't overdo it! Clarity is much better than formality. I wrote anything that I felt needed to go somewhere in the thesis, without worrying about how to structure the document. You can add structure later. If I thought of something but wasn't ready to write it yet, I just added a note.
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  8103. Love from india❤❤❤🇮🇳🇮🇳
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  8104. This video helped so much! Thank you!
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  8105. We now know people being tall and named Larry have wives who make the best blueberry pie.
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  8106. it's very hardcore !!! I wonder what the calc 3 would be like.😲
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  8107. True..math does make you confident..and gives satisfaction and pleasure
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  8108. sir please more class lecture of topology
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  8109. just did this problem in my textbook and it decides to recommend this video after i struggled through it 😂
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  8110. you can choose your own destiny! i believe in you
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  8111. ....the richness is in the knowledge of mathematics which few people attain.
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  8112. Mate what books can i get on financial mathematics, that includes options and other financial derivatives. That also has math a lot of mathematics
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  8113. Hey , did you by any chance study in an Indian college ? your name seems Indian and the experience is similar to what my Brother went through when he was doing Bachelors of Science in Mathematical Sciences from an Indian College . If yes then what was the primary real analysis book you used ? Was it from M.D. Raisinghania and Shanti Narayan ( S Chand Publishing ) ? Thanks in Advance Fellow Indian on YouTube struggling through Undergraduate Math
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  8114. Dude you're about getting me into another udemy addiction circle
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  8115. Check out Partial Differential Equations for Scientists and Engineers by Stanley Farlow. An excellent book that treats the subject in a clear and precise manner with good references at the end of each chapter. It also has good problems with solutions. Very readable indeed!!
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  8116. You deserve it, love you man
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  8117. When I was in high school in South Africa (admittedly, a long time ago) algebra and differential calculus, as well as introductory integral calculus were part of the high school (last 2 years) mathematics curriculum. First year university mathematics was pretty brutal compared to what is covered in most US universities (from what I can see) - very proof heavy.
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  8118. I often see my friends advancing faster in math , noticing that I feel like a loser and I feel that I am fit for nothing , thanks for the motivation❤️
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  8119. I knew the proof started falling apart when the Order of Operations was violated lol
    7
  8120. Yes he is
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  8121. Amazing advice!
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  8122. congrats for 1M
    7
  8123. I just wanna say CONGRATULATIONS on over a million subs! 🎉
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  8124. I could have sworn I had already watched you review this book. Is there another really similar one, or are you updating your review? (Or am I truly losing it this time? 😛) Side note: can you recommend any good numerical methods or analysis books, or is that pushing your expertise?
    7
  8125. Wow! This looks like a terrific book. I just now ordered it. Thanks!
    7
  8126. Hey math sorcerer! I bought Calculus by Michael Spivak after watching your video and really enjoyed it. Can you do a review on Calculus on Manifolds as well?
    7
  8127. Love the new intro!
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  8128. Thank u sooo much...It was same question in my assignments and I got confused at last steps..this was really helpful..u r the best thank u 👏🏽✨
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  8129. Yes you're right! 3 months ago I couldn't understand every single thing about logarithms,but now I come back to it,it becomes a lot more easier than b4!
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  8130. Havent watched it, but thank you in advance ^^ your videos have helped me a lot
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  8131. Big fan of revisiting starting with the parts you know. Ditto on never underestimate the power of practice. I see, you have a later version of my old calc book. Looks like they split it into two textbooks. It was really thick back in 1971.
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  8132. I think this is a useful book for self study too. When I visit my aging mom, she likes to go to thrift stores ... and finding math books at them is the only respite (hehehe) - I found a copy of this one. And yes, ruined another shirt ... proving mathematicians use ink pens. Cheers, Christopher
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  8133. I've done math for adventure
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  8134. You have been super helpful with all this videos!!!
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  8135. Lang was SO prolific. He wrote entire books on so many topics in math. I can't understand HOW he did it, but I'm glad he did. You have probably encountered Halmos too, what did you think of his stuff?
    7
  8136. I feel you 100%. I know what you are talking about. Happened to me too. That feeling when you say: ''if they can I can too''. We just need to be calm, never panic and try our best
    7
  8137. Day 1 of asking for a MathSorcerer lifting video
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  8138. Why Do I Have To Know This? So you can learn to think logically and get better at solving problems, because life will throw at you difficult and unpleasent problems you don't wont to deal with, but you will have to. This would be my answer.
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  8139. Hi math sorcerer!! I just found your channel and watched some of your videos, you are GREAT!!! I wanted to ask you a question that has been bothering me for a long time, can everyone be good at math or is it just for people who are actually born for it?
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  8140. Do you speak Spanish? I ask because you pronounce the words Ecuador perfectly well.
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  8141. Can you give tips on how to improve speed at math? Thank you ❤
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  8142. Can you imagine how many students need someone to tell them this? 3:43
    7
  8143. Great reasons. Basically it's: No pain, no gain! You'll never become a mathematician by looking at the back of the book for answers without putting in a LOT of TIME & FOCUS trying to solve it yourself. This forces you to THINK on your own. The worse enemies of a math student (and everyone in general), are Lack of Time and Discipline.
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  8144. Hello, sir. I am from Indonesia. may I make a suggestion? for there are subtitles in Indonesian. I majored in mathematics education. I really like your video
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  8145. Always enjoy the book reviews
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  8146. Wow, it took me about an hour and several failed attempts but to my surprise I actually got it. The messy algebra made me doubt but when I graphed my results… Eureka! So proud of myself!
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  8147. Sir ! you have to be a MIT teacher. your way of teaching is outstanding. thanks btw
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  8148. Timing.
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  8149. In my opinion being familiar with how difficult problems are solved is essential to learning how to solve them. It is for this reason I am a strong advocate for having solutions to problems, especially the more difficult ones. By observing and understanding how these difficult problems are solved , one would build on a knowledge bank of strategies for solving them. This approach fosters a need to attempt and seek more difficult problems, since an individual would then gain access to a multitude of strategies. The caveat being one would need to practice these strategies on similar problems first in order to actually learn them. Also,with enough practice one may even come up with his own strategies and insight to solving difficult type problems.
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  8150. Clarification: He didn't die of malnutrition, he died of some illness.
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  8151. Sir your energy and passion for mathematics is in another level but most important is simplicity. Thank you!
    7
  8152. Hey Math sorcerer can you make a video on books on Mathematics from the very Basic Foundation to all the Theories and Paradoxes and Algorithms discovered recently
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  8153. Im so glad your more than a math teacher
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  8154. I love doing maths and I wanna be mathematics proffeser n iam in 3rd year of my undergraduate degree .I love ur videos all over from india. I hope we will meet n have chat about maths n science keep uploding video
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  8155. Hello Sorcerer! Greetings from Ecuador! Thanks for the content you upload, it has been useful for me as a Math undergraduate student. I wanted to do a request: Perhaps you could do a review of the Art of Problem Solving series or others alike that develop mathematical maturity instead of really advanced topics? Thank you very much :)
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  8156. General certificate of education is like a highschool diploma (by age 15 or 16) after which you either leave school and go to work, or study further (for about two years) for your "A Levels", which would allow you to enter university and your acceptance to university, or not would depend on your A Level marks. So, that book would have been used by 14 / 15 /16 year olds. (So, in the USA that would be 8th, 9th, or 10th grade).
    7
  8157. It’s easy to get blinded by the magic. Think of it your a level 20 Paladin and your teacher is a level 50 Mage. I’m just trying to make a Final Fantasy reference. If you did something everyday for decades of course it’s going to look easy. If mathematics is repetition then every year, decade, that person is so efficient at the task, everything that is superfluous is deleted, it’s all about practice and confidence. Don’t let it get you down. If you work hard enough and practice it’ll be instinct.
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  8158. to be honest I owe much of my English to youtube; it isn't my first language too.
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  8159. As a major in Mathematical Statistics this is extremely beautiful
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  8160. Cool I’m watching this one day before my calc I final exam and it really made me happy because I did try my best throughout the whole semester just to ace tomorrow’s exam. Also one of your videos made me fall in love with logic and proofs, which has made my life so easy in terms of maths. Thanks for that too :)
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  8161. No sé si Princeton es una buena universidad pero sí sé que en el Instituto de Estudios Avanzados hay grandes investigadores de física y matemáticas. Conozco un par de personas que trabajan allí. Bueno uno de ellos ya no trabaja allí pues tan solo tuvo una residencia de 6 meses. La química de joven me apasionaba. La física también, pero no la entendía al 100%. Ello no fue obstáculo para sacar las máximas cualificaciones en mis pruebas SAT en dichas materias Ello me permitió escoger la universidad que quise. Una cosa tenía clara y era que los miedos no me detendrían en mi elección de estudios. En España el primer año de estudios en ciertas uniiversidades tenía la gran ventaja de que todas las facultades tenían las mismas asignaturas durante el primer año y por lo tanto permitían cambiar de estudios tras los dos primeros semestres. Yo tuve la oportunidad de cambiar a estudios que más me apasionaban pero finalmente no cambié no por miedo sino porque en el primer año descubrí que mi pasión no eran ni la física ni las química, que me resultaban extremadamente sencillas. Encontraba más retador las 8 horas de álgebra durante 2 semestres o las 6 horas de cálculo también durante otros 2 semestres de mi primer año de estudios. COLORARIO nunca se sabe si lo que te apasiona es lo que realmente te gustaba o si en el futuro te seguirá apasionado o si en el camino de la vida te vas a encontrar con nuevas pasiones que te retten con más fuerza. Hay gente que prefiere más un casio que un rolex. Sobre gustos no hay nada escrito.
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  8162. Great advice, I think sometimes we rush through practice and try to get to mastery only to frustrate ourselves from the goal. I guess that's why "slow and steady wins the race" is such an enduring proverb. Wonderful view by the way, stay safe and keep up the great videos Math Sorcerer
    7
  8163. Complex Analysis, Discrete Mathematics, Graph Theory, Operations Research
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  8164. This question is very easy....... I think any highschool student can solve it easily
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  8165. I just wanna say thank you, your videos not only explain everything in detail but also saved me a huge amount of time.
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  8166. Wait so does this work for every function or only injective functions?
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  8167. Like your videos. Explanation is very simple, which helps people not to overthink about topic
    7
  8168. I failed. My. Eight grades math I mean who does even failes at eighth grade
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  8169. Sir you're helping me Everytime improve in math. Thanks
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  8170. Let s_n be the n-th partial sum. Then one can also consider s_{2n}-s_{n}>=1/2 for all natural n to conclude that {s_{n}} is not Cauchy. So we know since R is complete this is equivalent to {s_{n}} being divergent.
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  8171. Apostol's book Mathematic Analysis is also an excellent book and as rigorous as a math book could possibly get.
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  8172. Needed to hear this, currently grinding through my Diff Eq class.
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  8173. Teach Yourself is famous for their foreign language self-study books. I like those a lot (especially the old ones). Didn’t even realize they did other topics!
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  8174. Your videos inspired me to request math study rooms in a gamer oriented mental health discord I'm casually in. This turned into me becoming an unpaid undergrad professor of honors math, freaking out over the fact I don't have a bachelor's, then realizing I'm a professor and I can just make my TAs do the lectures and grade for me :)
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  8175. EMERGENCY MEETING! WE HAVE AN IMPOSTER "AMONG US"!
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  8176. Awesome and inspiring, Thanks Professor ❤
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  8177. I recently purchased your Udemy Calc 2 and 3 courses. Will you add assignments to those as well at some point? By the way so far I am loving the Udemy course. Huge value and resource before going into Calc 2 college class!! Ohh and if you’re able to answer, have you considered reviewing the OpenStax textbooks? Especially since PDF’s are free for everyone but I would like to know how they measure to other books?
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  8178. Me too, cool! I'm halfway through the first chapter of that Discrete Mathematics book and it's really interesting. I think I'm going to follow this "curriculum", study for like half an hour everyday and see how far I can get Strangest hobby I've had so far lol
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  8179. I'm in first year engineering, currently using James Stewart early transcendentals 8th edition to learn calculus. If I wanted to learn more about calculus would this book be good? Or would you recommend a different book
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  8180. I love these videos but I find that I get more out of you physically being in front of the camera, something about your presence that makes it much better. Thank you again.
    7
  8181. My local library sells all textbooks they receive in the donation bin for $1. I found an older edition of Stewart's Calculus a few weeks ago. Now I'll go out of my way to check the library at any town I visit.
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  8182. Hoomans don't share exotic ideas , atleast they never share anything in straight forward manner.. they will probably give hints.. Because 1) working on something builds multitude of skills and builds character (reaching peak of Himalayas by helicopter vs reaching the peak by climbing with gear facing deadly atmosphere +the adventure experience ) 2) they want to filter out lazy impatient , weak ,who are not persistent , have low self-esteem and not confident..( those are traits of one kind of people based on psychology ..*forget it..) , the only source to find information is books , articles , scientific papers , lecture notes , for example you read some xx book you got an idea the author in last page gives reference to other source book and author names of that idea sometimes they just write a name and nothing.. (quick tip : if you are going through e book you probably have the opportunity to use key words to search certain things you want or keys words that are closely relate to your need ) you can even use Wolfram database , etc to find more keywords tags .. END... it's tempting to get a quick solution , if your idea has something to do with your promotion and assuming that you are the only greedy human in your office you share it with your colleagues they might give you a quick fix.. Ideas are like guns they can protect you , when you give it to others entire picture changes and moreover damage is not limited just to you.. With knowledge comes power with power comes responsibility..
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  8183. Begorrah, you were asked that by someone who probably thought you had dyscalculia because you are a female? 😁😂 That probably happens sometimes, but don't let worry you. Just smash bias by showcasing your skills.
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  8184. 3 semesters of physics! I just want my 1 semester to be over already (though it's mostly the teacher, she hates her job). Where I'm studying the first semester is common to all STEM majors and I can't wait for it to be over. You had to do stats? If I remember correctly I don't think I'll have to do that.
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  8185. I think i have level 1 now but I need repeat this level 1 material, cause I forgot some theorems and proofs in geometry . This video is motivating so thank you for this content 😊. (I have written this message by my voice)
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  8186. ...The nice thing about these kinds of Trig problems is that they can sometimes be solved in different ways with the same solution. In this case 60(deg)-45(deg)=15(deg) can also be applied, and then using the same formula cos(60-45)=... as The Math Sorcerer in the video... I like Trigonometry
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  8187. Great advices. I've experimented with mindfulness and it is very good for the mental health.
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  8188. Can you later talk about toxic math snobs and how to deal with them? They really hinder enthusiasm around their peers.
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  8189. Thank you bro you help me a lot
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  8190. I can feel your enthusiasm of encouraging people like me. Thank you indeed professor!
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  8191. As a computer scientist who literally sucks at maths, this video saved me thanks 😁
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  8192. “until you know the definitions cold…”- currently in a Real Analysis course and my professor harps on making sure you actually KNOW the definition of something before moving on. I guess these definitions are just that important as a mathematician.
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  8193. This looks like a lot of work. Too much stimulation for me! I'm from the seventies.
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  8194. Thank you for this excellent video.
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  8195. My philosophy relative to worry: If I can fix IT I don't worry about it, If I can't fix it why worry about IT? (I don't)
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  8196. Yup, and it's directly related to more advanced stuff like differential forms
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  8197. I'm not where I want to be yet, but I am enjoying the scenery on the way there.
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  8198. I bought the 8th edition from a drift store in Montreal; I really relish this book as it is an excellent and more comprehensive reference than most single variable calculus textbooks while at the same it does omit some of the extraneous details from a purely multivariable calculus textbook. Personally, I like applied mathematics for engineering differential equations and machine learning applications, while I am not too fond of abstract proofs lol.
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  8199. Literally thought the same thing.
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  8200. I really appreciate the content of your channel ❤️
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  8201. I just ran a 5k and this feels awesome to hear
    7
  8202. I think we need proof of these guitar and singing skills!
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  8203. Man the number zero really is a complex number.
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  8204. I will give a like for the C++ Programming book on the bookshelf.
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  8205. I think what really makes self-study an op tool is: you're not supposed to do it the system is made around people that just stick to the minimum and pass classes barely, that's when someone who really do put the effort shines and make everything he/she wants just knowing the sacrifice, effort, consistency and discipline it requires it's really amazing and I love it
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  8206. Maths is great subject, well my interest is in practical geometry section and quadratic equation section.
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  8207. Good luck from California, USA!
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  8208. Can you imagine I'm in the 2nd year undergraduate doing Aerospace Engineering in Chinese? 😭😭😭 It sacks cause my Chinese proficiency is too bad. Engineering 100% sacks compared to Maths and Physics.
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  8209. I don't even have math classes but it's so good I just kept watching it.
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  8210. Saving the day again... just come work at UCF in the spring, will ya?!
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  8211. Learning is all I do. I am not worrying about grades, as I have no exams and I am not in college. 😁 I just love learning mathematics. At Open Library, I borrow math books digitally. I return books quickly, whenever I see queues of people waiting to borrow them. I consider students in college as priority.
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  8212. Genius is 1% talent and 99% percent hard work. -Albert Einstein
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  8213. In China we take analysis in first year without learning Calculus. In fact, we are combing two courses into one. Usually we will take 3 semesters to finish analysis courses. This kind of teaching method gives students solid foundation, but it really makes lots of people quit studying math because they feel so hard to follow.
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  8214. Lookin rough, Still out there ♨️
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  8215. Is that thumbnail AI generatedddddd
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  8216. I loved learning learning stuff as a kid and things came pretty easy all the way through high-school. I took calculus 2, organic chemistry, and advanced physics in 12th grade. I got AP credit for statistics and didn't even take a statistics class in high-school. My freshman year of college as an electrical engineering student wasn't too bad. Calculus 3, Diff-Eq, and Engineering physics 1 and 2 were fun. Linear Systems and circuit theory weren't that bad. Then I slammed up against electronics 2, electrical instrumentation lab, electromagnetic theory, control systems and microcontrollers all in one semester and it broke me. The stress drove away all the joy for learning I used to have. I graduated in electrical engineering, but it ended up taking me 6 years to do it. 15 years later am I finally getting back to my old way of learning. That fcking engineering program gave me serious post-traumatic-stress-disorder.
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  8217. I am preparing for jee advance
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  8218. Love your videos man. Very motivating to keep pushing through difficult subjects. Keep posting!
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  8219. Watching
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  8220. Regression, and more braodly Linear Models are the foundation applied statistics. You can never know too much about them.
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  8221. This make so much sense and can relate to it but hope to understand more
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  8222. I freak out and cross my fingers.
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  8223. You're awesome 😂😂
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  8224. That is one thing I can understand or actually solve everything else is so hard maybe because I didn’t take calc yet
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  8225. Thanks for the recommendation...love from india❤
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  8226. Hey what's the name of the technique that you use here 2:44 to make 1-5/y+3? I want to know the name to investigue more about and practice it! Great vid!
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  8227. Thank you. I have another introductory book on Topology (Mendelson). Should I buy this too? It looks much more interesting and not so dry
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  8228. Yes it is a simple and honest life. It is a noble profession.
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  8229. I’m a current engineering undergrad student, and I’m not saying that it is or isn’t the hardest major. But, I don’t necessarily think it’s what engineering student learn that’s the difficulty factor but rather the work load they face, I have to take 6 classes a semester which all demand for constant assignments, projects, labs, quizzes, etc. It’s more so the constant grind of getting things done and maintaining a understanding of the difficult topics.
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  8230. Love from IRAQ
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  8231. I just spent about 4 hours trying to understand how to change and find the six ways of making the limits of the triple integrals. I did it all just to be able to solve one problem on my calc 3 homework I legit was about to give up until I found some YouTube videos that explained it in a way I could grasp and I worked on a practice problem I found and I was finally able to understand how they got all of it. It was awesome. My brain hurts so I'm just gonna take a complete break for an hour before I go back to my homework but at least now I know I can finish it :). I'm sure it's nothing compared to needing a full day break from the amount of math you do though lol. Can only imagine.
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  8232. I NEEDED THIS SO BAD
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  8233. I see Princeton tends to keep the number 1 spot in math. I think the movie A Beautiful Mind and John Nash's accomplishments alerted me to the prestige of Princeton. Would be great to go there probably, depending on circimstances and possible advantages of other universities.
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  8234. Just make sure you don't start building bombs (if you know the reference)
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  8235. Thanks for making this video. I started practicing from 'Pre-algebra, Algebra 1' notebook series after watching one of your videos reviewing it. And that book has really helped me to refresh my math basics. Also Essential Pre-Algebra is an incredible book for practicing pre-algebra there's so much exercises in it! Thanks again for making these videos and igniting our passion for Math.
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  8236. Have you ever come across a book called "Calculus without Tears". I found it in our school library and it is what I used to teach myself Calculus. It is very old but was an amazing book. So simple and well explained. Can't even find a reference to it today. It should be reprinted.
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  8237. Did medieval people consider mathematicians as wizards and sorcery? Like alchemists?
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  8238. Immediately bought the new edition of this great book!
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  8239. To be fair, for Calculus, once you understand how limits work, it sort of makes sense to see how some things can be simplified easily. The people that took Calculus in high school had no problem understanding anything that the teacher said. I never had the luxury of taking calculus in high school, so I had trouble my first try. It's just tedious trying to prove something in Calculus.
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  8240. Sir, meditation is great for staying focused. Something that helps is the consumption of honey. In Karnataka there are a certain tribe called Jenukurubas, Jenukurubas means they are honey shepherds. Sometime ago I had the opportunity to live with them for a while. There diet is something like this: First thing in the morning, one bamboo glass (3/4 of a litre) of honey, and that's all for the whole day. After that they go to the forest, in a day they walk at-least 30 to 40 kilometre, and they climb a minimum of 50 trees. They do this for almost the whole day. Their main stable diet for the whole day is honey. Consume honey in warm water (not boiling water and please do not cook honey). Just a glass of warm water mixed with 3 or 4 table spoons of honey in the morning will give a lot of energy. What I mentioned above works for me, it might for you as well :). BTW, sir I took Norway Mensa IQ test and got 145 or more, and then I took Finland Mensa IQ test and I got 140 (because of time limit), and then I took Sweden Mensa IQ test and got 145 or more. This really gave me confidence and showed me that I have the potential to learn math. I have decided to start from the basics, work hard and mostly self study.
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  8241. Making breakfast in class is a legendary feeling.
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  8242. Hi, I really want a option on something! I have a master in theoretical physics (string theory so I have a lot of advanced mathematics in non formal way, like differential geometry and topology ) and my main objective is to get to a PhD in mathematical physics (I want to do research on fivebranes and knots). So I want to do a master in pure mathematics first to get some math experience. Do you think that I have enough background to complete a master in pure mathematics , with relative good grades, with my level of degree? Thanks for your help!
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  8243.  @TheMathSorcerer  lol
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  8244. Thank you so much! I couldn't understand this in class but this helped a bunch!
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  8245. 😂😂😂😂😂😂😂h😂😂😂😂😂😂😂😂😂😂😂😂😂😂😂😂😂😂😂e😂😂😂😂😂😂😂😂😂😂😂😂😂😂😂😂😂😂😂😂😂l😂😂😂😂😂😂😂😂😂😂😂😂😂😂😂p😂😂😂😂😂
    7
  8246. Start with Lang’s Introduction to Linear Algebra. The first edition is only 170 pages and a really good way to get a first (geometric) feel for the subject. You can start it before calculus.
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  8247. Thank you very much for this review! I really need to get acquainted/somewhat comfortable with calculus, and I unfortunately do not have time to learn trig at the moment - so this is perfect!
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  8248. I buy the cube shelf bookcases because you can double your shelf space by using the front and back sides, as long as you don't have one side against a wall.
    7
  8249. Please don't goooooo
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  8250. Interesting motivating vid -thanks
    7
  8251. Just imagine the sheer joy that person who first saw a Telescoping series must have felt. Uch, my heart when I first saw one of those! The leap of thought that took something intractable and made it simple.
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  8252. As a guy who has a successful career in a non-math field, this channel has been wonderful. I am now in the process of going back for a computer science degree and understanding math better has been so helpful. Thank you!
    7
  8253. Do you know a similar book to All the Math You Need, but specifically of statistics? Thanks!
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  8254. I'm self-learning math as a hobby. I am still studying from the Stewart, Redlin, and Watson precalculus textbook. I was thinking of buying a copy of Vellman's How To Prove it. Would it be too early for me to start working on that book too?
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  8255. I'm 37 and going to back to attempt to finish a bachelors in mathematics. I'm nervous, scared and afraid of failing but I always come back to finishing my degree so I will try to not give up this time.
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  8256. Excellent video. This has been one of your best. Please do a video like this one about mathematical modelling.
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  8257. ​ @TheMathSorcerer 😎👍
    7
  8258. First, you identify yourself with your inherent capabilities. Then, you express them by creating circumstances in your life that allows the satisfactory manifestation of your inner talents.
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  8259. 2:24 I’ve heard this too many times
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  8260. ooh can you do a video on sinh, and cosh? What are those? LOL they saved me a lot of work in calc2 so I'm grateful, but I have no idea what it is or what they're about LOL
    7
  8261. My favorite is Complex Variables with Applications by S. Ponnusamy and Herb Silverman. The best part about the book is its conceptual questions which I have never found in any other book. Another book which I liked is by Needham.
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  8262. Learn well! Play well, eat well, and rest well! The Math Sorcerer Style is with you!
    7
  8263. Hmm... what about a review of Apostol?
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  8264. "comedy theory"
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  8265. someone said: a math genius never questioned whether he was a genius or not Me: what?? You: ....
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  8266. Can you make a tutorial just on "the online aspect" of taking the test? PLEASE? 🙏🏻 (Cuz now I'm scared!) I'm taking Linear Algebra after miraculously passing Calc III, I'm crushing homework probs like a boss, but this has me rattled. I wanna do it right. I got the Math down cuz I watched ALOT of Linear Algebra videos before taking this class to be ahead... (I like Linear Algebra a lot.) (Also, it's only been 2-weeks since my break up, so I need a "win" ...bad.) Sorry. omg, that was so lame. ANY-WHO... everyone has 1 class they know they'll ace & this is supposed to be my A, but: "this just in... 'online Math tests be like.'" Lol. made me laugh though, so thank you.
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  8267.  @nottsoserious  I think linear algebra is highly underestimating how much of what actually goes into the word algebra on master level, you have functional analysis (inf. dim. linear alg), group/ring theoy, algebraic structures, commutative algebra, algebraic geometry, representation theory to name a few big chunks of areas, which in themselves takes courses to just scratch the surface of.
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  8268. Thanks, ordered. Merry Christmas!
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  8269. As somebody who is currently trying to self-learn higher (proof based) maths, this kind of material is an FSM-send. You literally could not make too much content on this topic, as far as I'm concerned. And especially stuff at this "my first proof" level. There are books out there on proof writing, of course (I'm going through Kevin Houston's "How To Think Like A Mathematician" now) but even those sometimes seem to assume some things about the reader and their background. Proofs done at this level are a huge help for people who are just starting to write proofs and especially ones who are doing it on their own and don't have a teacher to ask questions of. In other words: "more, please'. 😊
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  8270. 541 views 2 comments. Hmm
    7
  8271. While growing up I always thought that Baldor was an 1200's Arabian dude...
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  8272. Knowledge Over Grades is my channel name. As you can see, I agree with that advice to focus on learning. I had my own experience that made me come to realize that the knowledge is more important, no matter how long it takes you to get it, we should all be out here trying to learn and not just pass. Because what's the point if you get out of school with a degree and don't know anything and can't back it up with knowledge?
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  8273. I would love to see a video about what is abstract algebra... I still don't understand what it is about :O
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  8274. Thank you
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  8275. Jeff bezos ?
    7
  8276. By the way, I might add that greats like Napoleon made good use of mathematicians. Fourier, e.g., was largely in the employ of Napoleon.
    7
  8277. Awesome !! I'll add reading this book, to my things to do when high list!!
    7
  8278. I’d say grades matter for graduation and getting into the grad school, but not for the industry. Engineers and IT specialists need many skills and abilities that are usually not reflected fully or emphasized enough in colleges’ curriculums. That’s why their interviews are quite extensive and relatively difficult. Honestly, the industry doesn't care about University at all! Academic currencies like Harvard, Stanford, MIT, publications, honours and awards almost means nothing there. You just have to know how to get the job done, as simple as that.
    7
  8279. There is yet another unique book for Calculus by LV Terasov(by Mir publishers)...the book is written in a dialogue between the teacher and student...
    7
  8280. My professor of Calculus let me gave class because he saw potential in me through an answer i gave. I showed to my classmates the geometric visualizations of algebraic cubics and Calculus concepts. I am working hard to get an A in this class.
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  8281. Kind of forced into it. I failed several times single variable real analysis, so I needed to learn deeply this course. Otherwise I would have been kicked out. After I passed this course, math seemed to become more and more fun and it got somehow easier over the time. Maybe our professors just wanted to kick out a lot of students in the beginner courses. The abstract algebra course was easier to manage than the regular linear algebra one, which is weird. Since then, I read more math books and papers and I got somehow attached to it.
    7
  8282. I’m currently taking Cal 3, diff. Eq. , Linear Algebra, and a Programming class. It gets really busy except for Test weeks Bc there’s no hw due. It’s been a ride.
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  8283. I'm teaching myself math atm and you help me so much orginizing everything and assembling a syllabus so thank you so much!
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  8284. What about the GPA ?
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  8285. I graduated high school at age 17, then went to college and got my two-year degree. Then at 35 I went back and finished my four year degree. In my view, the trade off is that at 17 I still absorbed facts like a sponge,but had no discipline. When I was older, it was harder to absorb the knowledge, but I actually had developed the self-discipline to do the work.Finding the balance is the hard part. I would advise anyone, including my 17-year old self, to take a couple of years and experience the real world life so that you can see the point in doing the work.
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  8286. These supplementary videos are so important thank you for the kind support I’m struggling through applying math and EleE
    7
  8287. memories of my Calculus class. My prof was really difficult to understand. On top of that I had a row of students below me. I student could speak English and the rest could no, so he was translating in their home language. I became very confused and distracted. It was so hard. I should have tried to switch my section. I would recommend this. Because, what killed me was that I lacked confidence in the subject and the inability to understand my prof was my undoing. And now, 40 years later, I still think about how not passing that class affected the course of the rest of my life. So, do try to take another class. Though the suggestion of previewing the material ahead of class would really help you. I still which I switched and took the Dr. Steward class (yes, the textbook dude....he apparently was great). We had tutors, which was exceptional, but with that guy, I don't know the medical condition, but he smelled really bad, and I could not tolerate it. But I do remember it was so packed with students desperate to pass the class. Good luck to you. Get together with a study group. That also will help a lot!
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  8288. I think it is a matter of trying the tools you have on the next idea or concept. If it turns out they don't provide a satisfying answer, then backtrack until your toolkit is better. But mostly don't be afraid to aim big and fall flat. I am currently working on something in Knot Theory, with colorability that is providing me with humbling experience after humbling experience. but cheers, and good speed.
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  8289. You are actually a math sorcerer, awesome :)
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  8290. Thank you for the explanation, Zybooks is garbage at explaining the steps.
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  8291. Wow this is very interesting!
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  8292. For me ... it's same for all the other subjects
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  8293. You can never have enough books on abstract algebra or pure or applied mathematics...
    7
  8294. just got back my final grade for calc 2 this summer. I passed!! Easily the hardest I've ever had to work in school
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  8295. I think really smart people find more challenging problems (like literally find harder problems or study harder/deeper subject) while the "normal" people like me struggle to finish the assigned problems.
    7
  8296. Haha, he said he picked the statistics book at random, which is funny to me.
    7
  8297. Can I recommend a number theory book?It’s called “Number Theory” and it was made by George E. Andrews, It’s understandable and covers interesting examples.
    7
  8298. can I major in watching cartoons ?
    7
  8299. 6:26 Hi Sorcerer, please be gentle when turning pages, ouch that hurts 🙂
    7
  8300. Great video as always, cool that you've been lifting weights! That's awesome, I've started both learning more math and lifting within the past few months and it's made a big positive change in my life
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  8301. 🥉 Loving your content sir♥️♥️ Love from India!
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  8302. Actually in Sweden we are kinda required to take a master's before a phd since we need 4 years of credits but all programs are 3 years and we have no equivalent to an honours degree.
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  8303. We appreciate your videos. They've always been helpful.
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  8304. I had this particular book as well as tens of other math books all from Mir publisher, I bought it very cheap, less than $2. Demidevic was another one, all problems from hard core math. Back then USSR was cradle of the theoretical science. One advanced Heat Transfer book I remember that was all math and was a reference textbook even in western schools. Thanks
    7
  8305. i took a year between calculus 2 and 3 and this book really helped me. very good summery of the topics.
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  8306. Helps me really think logically and win arguments hehe
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  8307. Mannn you've helped me so much to understand this beautiful sum in the integration I've ever found
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  8308. I was hoping you'd derive it : ) thanks for the content.
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  8309. Again,, I would really enjoy if you make a video about Whats Mathematics, by R. Courant, haha. Anyway, thanks for this video!
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  8310. My advice ... Before starting to do maths bro... Cool your brain 🧠 ... If you r frustrated nothing gonna go in your mind.... Also,before starting any topic first revise the definition s or the formulas,........ Might help you...😀
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  8311. Thanks! I really benefitted from your youtube videos and Calculus 3 udemy course. One thing I learned too late (but better late than never) is to have someone who can work the problem alongside you. If you don't, then at least have multiple resources at hand to check the various interpretations of the concepts (and perhaps imagine the author(s) sitting next to you to cheer you on your learning).
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  8312. I think something that comes across as elitism in mathematics is that among many mathematicians there is kind of an unspoken agreement that if you explain every detail of something to a beginner, not only will they get bogged down by all the details, but they will not build mathematical maturity by filling in the blanks. There are times when this is more or less appropriate but there are also times where it is not. There is also nothing lost by explaining to someone that you would prefer not give all the details because you think there will be pedagogical value in the other person figuring it out.
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  8313. How hard it will be , of course, will depend a student's preparation in undergrad. So if a student grad math class pre-requisite is Calculus 1- advanced Calculus and that students did well in those courses at the undergrad such as being able to do most of the problems in their undergrad text and similar text (and only on their exams/homework), then they likely will be fine at the grad level, provided they apply themselves well (such as the an advice that was given on this site, as you said do problems from different books at the grad level, take notes, practice before class and spend much more hours per week ). Of course grad school will and should be harder, as students are now with math major only or students who likely obtained a 3.0 or more in math at the undergrad level. Students just have to work harder as you have said in a previous video.
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  8314. Nice !!! u helped a Brazilian student thanks !
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  8315. I couldn't agree more. I think more than everything, math makes you more logical. So you'll try to behave and make decisions less based on emotions.
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  8316. Did he just say a professor sent him a copy of the test while he was having a brew with the Bois?
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  8317. This really needs more views. I felt like this was very necessary advice for newbies, math majors and anyone considering this rewarding field of study. I remember when you had less than 100k subscribers and I’m so happy people are listening and watching your channel. By the way, I’m just a regular guy and no genius at all, too. Love the content!
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  8318. You ignited my interest in Mathematics. Your videos are highly motivating.
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  8319. Honestly there is so much importance in those videos of yours, not just because of your thoughts, but because I start to feel not kinda alone in my math struggles, so thank you
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  8320. The Great Depression resulted in several US School Districts economizing on their services. Generally, cutbacks were made in Secondary School so that many people did without High School Diplomas. When World War II started, the demand need for Soldiers educated enough to take and interpret orders made catching up on educational shortcomings a priority. This resulted in the invention of GED ( General Educational Development ). You have just stumbled into the rich treasure trove of the History of US Military Education. I invite you to look at several training videos that the US Military released to the public, in particular Private Snafu Cartoons. I know you are a Math Prof, but as a Teacher with some interest in History, you would be interested in this sidetrack when you take your coffee breaks.
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  8321. that dude who only partially completed the easy parts of the homework was a genius at optimizing his grades
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  8322. An interview with Jay Cummings is mandatory 😉
    7
  8323. Memorize definitions.
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  8324. How hard is a course on this topic typically going to be for undergrads? If you had to retake 2 of your calculus classes, would taking it as an elective be overwhelming?
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  8325. Here's a very simple tip every math student should follow: Read ahead in the book (going through all the examples in the lesson) before each class. Then make sure you attend class. That way, you can just follow the teacher/professor during class without having to take notes (or minimally so...only when you don't recognize something (s)he said compared to the reading). The result is you get good exposure to it during your read-through, then you get to watch it in action (with little/no note-taking distraction). This is very powerful. On a more general note, the problem most people have with math is they try to study it the way they study other subjects (memorization, flash cards, etc and they associate a procedure with a given type of problem...then they forget it a week after the test). The way you have to study math is by making sure you really UNDERSTAND it...meaning you could come up with the procedure on your own...without having to look at an example. That requires not just doing the procedure to solve a given problem, but really thinking about WHY that procedure works...go over it in your brain till you really GET each step and why it was done. I'm 58. This is the way I learned math and I've never forgotten it after ~38 years since taking the courses in college and never having used it after graduation. In the past few years, I've tutored my sons in (college) trigonometry, pre-calc, calculus 1, 2, and 3 and was able to do every bit of it like I learned it yesterday. (FWIW, I am a scientist by training, but my actual job has never required the use of calculus...maybe some light algebra here and there, but that's it.)
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  8326. Lol you willing to sell any of those?
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  8327. if I had a dollar for every time he said the word “time”, I would probably have $11. I’m not sure though, I’m bad at counting.
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  8328. because in the definition of the order of an element in a group it is said that smallest positive integer
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  8329. Man i wanna say big respect for how you teach! I didn't understand anything about DE before I came and saw your videos. You are awesome and should get more recognition.
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  8330. Now do you miss teaching in classroom and miss that student Luke who comes late to your classes?
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  8331. I have several of those books in my library; completely invaluable books to have at-the-ready.
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  8332.  @TheMathSorcerer  reeeeallyyy would looove this ideas of you working out problems :)
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  8333. It is good to know that, the Soviet Union encouraged higher education. During the Stalin era however, highly educated people were often sent to work camps in Siberia. This video is very enlightening and interesting. Thank you for showing it.
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  8334. As an engineer switching to pure math I sometimes doubt my ability to do as well as others who have a bachelors in Math. Thanks for your words of encouragement!
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  8335. thanks so much man :) my teacher, nor my textbook could explain it as well as you did!
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  8336. Heh. Yes! That's the exact book I'm using, albeit a different version. Mine is the Sixth Edition, "Extended" version. I decided to start working through it because Physics was my First True Love before I discovered Computer Science anyway. And now that I'm on this journey of math (re)discovery I thought it would be beneficial (and fun!) to work on something that applies the math I'm studying. It's sort of a way of helping to motivate myself and stay inspired. Plus I just like Physics. The original plan was to major in Physics in school, but then I fell in love with computers and switched to C.S. Now, 25+ years later, it's fun to go back and dive into Physics again.
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  8337. Thank you for the encouraging words, Math Sorcerer!
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  8338. I love you 💜
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  8339. Expecting a reply from you💙 Great video Professor.
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  8340. Wow those appendices are awesome! I have never heard of Topology without Tears but it looks great. Two other recommendations for anyone interested: I really enjoyed Introduction to Topology by Bert Mendelson, it is rather concise but I have always enjoyed that so perhaps others will too. A bit of a different recommendation is Arxiv 1006.4131 titled A Pedagogical History of Compactness. This is a great read to gain some familiarity (and more importantly intuition) for compactness! It also gives some insight into how math is actually done.
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  8341. When I was in high school (I am from Oklahoma) we were really only required to learn basic algebra and trig, but we had the option to take Calculus with approval. I had an internship and one of my mentors was from India and he was telling me how when he was in high school that during his last year or so that he had the option to choose a focus "computer science" which could be a reason why students have more skills in other countries.
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  8342. This was exactly what I needed to understand what was meant by the union of any elements must also be in the set for it to be a topology. You're really one of my favourite sources of info when I find something I'm learning in class unclear. The example of what's not a topology feels equally important as what is.
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  8343. that is so impressive that she went from a 40 something to a full blown A. and pre-calculus is pretty challenging. Most people enter pre-calculus have never once taken a single trig lesson. When I took calculus 1, half the class never took trig or even pre-cal. They eventually all dropped. also, his Udemy courses are amazing. I’m about to sign up for his diffy q after my physics 2 final next week. assuming my man offers diffy.
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  8344. You're like a wise Kermit the frog. I'm Australian, and I only just realised why you seem so familiar to me, it's that you sound a lot like Kermit! Love your videos, I watch every single one that comes out. I was home-schooled and am studying mathematics now, and by far the most useful advise anyone has given me, has been from you, it's "Don't spend too much time on a problem." My biggest problem is that I can easily spend days on a problem, but I can't seem to switch off from it. It's a work in progress, but I'm getting there. I have a physics exam tomorrow, so wish me luck!
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  8345. Si los problemas fueran fáciles no serían problemas.
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  8346. Finally someone whom I could understand the proof of compact sets being compact. Really appreciate all the proof writing videos on topology that you do. Thank you
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  8347. Thats my biggest problem If there's a problem i can't solve i'll keep thinking and making attempts for hours until i get it Even if i have an answer sheet my ego just doesn't bring me to look but i realized its not a good idea
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  8348. This is so true!! I’m in calculus 3 and if I tried to truly understand not just learn the concepts, material, and patterns, I would a lot more clueless than I am now.
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  8349. I am currently in the "Gymnasium" the american equivalent would be something like High school and I have advanced physics and advanced math as subjects and it is really hard. Upon that I also have Astronomy which is even harder. Idk if I'm the only one but I just love all 3 subjects but I am so mediocre at them its so annoying and frustrating. And I have 9 hours of school every day so I dont even have much time to study anything and catch up. Its really really hard to push through but I got a B in physics last week so I guess I'm doing somewhat okay although I wouldve liked an A oder A- at least.
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  8350. Thank you, for the explanation
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  8351. Often that understanding takes time plus it helps when the prerequisite knowledge has become automatic. And a certain mental maturity. I took Abstract Algebra 40 years ago and did poorly - it made no sense and seemed impossible. But I kept that old text book and now, being retired, I read it and have no problem with most of the exercises and actually enjoy it. (I just wish I could find a complete solutions manual.) Just stick with it and give it time.
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  8352. I'm going through an intense (for me) math course and this seems like great advice
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  8353. This is an easy question. You figure out what works for you an go from there.
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  8354. It's interesting to see an old edition of a book. It allows you to see what was cutting-edge for the time.
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  8355. Nine minutes and six seconds better than read a book of hundreds pages of motivation. Focus on my present wil be my first goal. Thanks sorcerer
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  8356. Actuarial mathematics or statics would be math branches that could lead to well paying jobs.
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  8357. I’m gonna get this book as well, seems it’s easy to finish.
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  8358. No wonder Calculus took a year of classes. I forgot about some of those topics.
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  8359. By the looks of it this book could help you self study the first 2 years of studying EE. Not the last 2. Also since that book was published the amount EE has changed is insane. It looks like a great starting point, but there is no one book that can fit all of EE into it. The internet is barely big enough for it.
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  8360. I use one of Serge Lang's book Undergraduate Algebra, it's a nice introductory to advance on the subject.
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  8361. Is analysis harder or easier than calculus?
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  8362. I don't even know any book, just work with YouTuber tutorials, thank you for your content....
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  8363. I found a 1940 differential equations books from him here in brasil, I imagine people had to import such kind of knowledge back then
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  8364. Really cool video! Thanks!
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  8365. I could get used to these videos that come out often. I tend to struggle a lot but the aspect of learning and possibly understanding is keeping me going :))))
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  8366. I agree with following your instinct. If it doesn't feel right in your heart, then it isn't right for you.
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  8367. I am going to take ,physics major,any suggestion for me MR SORCERER....
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  8368. I like your idea of using paper without lines on it. I was a math major and in school I favored using an art sketch book for taking notes. No lines, large pages, and it worked very well for me.
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  8369. Calc 2 is currently killing me, and im loving every bit of it!
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  8370. I bought this one a few years ago. It's very thorough.
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  8371. You must get e review on zuckerman number theory by wiley publishers
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  8372. Merry Christmas, thank you for all the great videos
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  8373. In Australia the highest level of high school math covers basic proofs including proVe root 2 is irrational, inequality proofs often related to the AM GM inequality and “language of proofs” with the existential and universal quantifies as well as if, thEn statements. I hope this will serve me well when I start my math degree!
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  8374. You are totally math sorcerer. I love your films! Its easy to see, that you are real enthusiast of the math! Its nice to watching you because of that, and you can clearly show theory and examples. Greetings! :D
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  8375. Math is the best subject
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  8376. These videos are really interesting! Thank you Mr. Math Sorcerer!
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  8377. This is what the internet was invented for! 😃
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  8378. Your videos are quite helpful for me Thnks for the efforts 🌟
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  8379. My favourite part of maths is writing proofs 😍😍
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  8380. The irony here is that there are many huge puzzles in math that have never been solved, problems which demand years of careful attention to even crudely attempt. The real world of charting progress in mathematics is very slow. It’s only an artifact of our education systems that have imposed the spurious idea that one must race through computation. Nevertheless that is the reality as a student. I have always been a slow and careful thinker, sometimes it has hurt me-I likely wouldn’t fare well in an Integration Bee-good advice.
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  8381. There is a third edition of the book from 1995
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  8382. Thank you Math Sorcerer!
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  8383. I like this advise. I avoided studying math for years (I was a bio major), but now I'm feeling huge gaps in my knowledge. I have enrolled into undergraduate math courses here in Australia to study over the next year and a half, before I attempt going into an MSc in Biostats. My first course starts in a few weeks, but I have begun studying the content on my own already, and I am quite enjoying doing it on my own. I think it gives me an opportunity to really dig into the parts that I don't understand easily yet.
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  8384.  @hmorseth30  From my experience in math I feel like I got robbed. I took up to Calc 3. I only got to take Linear Algebra 1 and Discrete math and stats 1. I feel like if the university had taught math with from a CAS perspective I could have taken 2x more math classes. When I got in the real world I felt like I didn't know enough. Subjects like Tensor Calculus, Advanced Non Linear Algebra, Abstract Algebra and Non Linear Systems are what you really need out there to succeed. Had we not wasted time solving problems by hand, we could have learned 2x as much. The bottom line is Math professors have never had real jobs. I have worked in Engineering since the late 80s. I have never seen anyone do math by hand in 32 years of working in high tech. Even in the 80s and 90s we used MathCAD, Matlab or programmed in Fortran and C to solve problems. I think maybe up to precalculus you need to do problems by hand. After that you should use a CAS. Not to mention 90% of Integrals and 75% of PDE and ODEs can't even be solved by hand. so why bother bother? WASTE OF TIME learning by hand. It is robbing students of real Math knowledge. Then add in the egotistical professor who likes to punish students by putting crazy hand problems on tests to stoke his ego. It's a lose lose for the students. Some times in life knowing what is possible is more valuable than knowing how to actually do it.
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  8385. Good job. Now I'm so distracted cos I can't unsee it. 😒
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  8386. That serious stare is enough for me, LETS GET IT DONE!!!💪👍
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  8387. Could you review the autobiography of Halmos, 'I Want to be a Mathematician'? I suspect you may have read it because in one clip, you mentioned Halmos' studying habits, which leads me to believe that you have read the book. Thanks to you, I started reading it and I am having lots of fun. I think the book is a must-read for people who study math seriously. I know it is not the kind of books that you usually review, but I really want to know your opinion about the book. So if you have a copy and read it already, please consider it. Thank you for everything!
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  8388. adding this to my wishlist right now!!💫
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  8389. Nice video sir! By the way sir, my exams have been POSTPONED! Now I can peacefully watch your videos!!!
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  8390. Thank you once again for helping me do my assignment:D
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  8391. Does it have problem sets?
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  8392. Simple,yet good to recap!!!
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  8393. I landed 138, but many of the questions I had seen before through math education. I knew some tricks and had some practice solving those types of questions. It felt like cheating a bit. On top of that, some people are strong, some others are nimble, some others are agile and all of that is included in physicality. A hunch: intelligence must have a similar level of fragmentation. I know people I admire as "Intelligent" that have scored lower than me. Some of them are good writers, artists. IQ tests don't measure that very well.  I know of their scores because I would brag about mine like a douche. I'm no longer too proud, knowing that those people I look up to scored lower than me though my intelligence looks up at theirs. Hell... Feynman, a super-hero, didn't do better than me?... hahah way less proud of that score after learning that.
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  8394. Third year into my computer science degree right now. Personally I chose the degree both because it’s a well paid field and because I have an interest in it. Would I recommend it to students that don’t know what to major in? I would say yes and no depending on who you are. There are some other students around me in my earlier classes that got into CS because of the job prospects but ended up dropping out or changing majors because they simply did not like it or it was too hard. Like any subject, CS may or may not end up being for you. However, before majoring in ANYTHING, I would highly recommend looking up job prospects of whatever major is in question and seeing if there’s a good chance of a return on investment in your major. There are a lot of useless majors out there that will likely not land you a job. For example, gender studies lol. Stay away from stuff like that. College is a huge investment in today’s day and age and you don’t want to go in debt for a degree that won’t do anything for you.
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  8395. Yes lol👌😗❤
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  8396. Yeah, 💌without effort to email you , i also got an answer to my problem🕺 Love from india 🤌🤍
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  8397. I knew that
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  8398. This is an excellent point... Thank you. Actually when I read the title I wanted to comment that what makes math fun for me is when I reach the full and clear understanding of what I read, i.e. when all things make sense to me. But now I you added those little "fun" points during the process of understanding and struggling. So these "discrete" fun points should lead to the full fun "continuous" graph by connecting them. My main problem though is when I meet an understanding deadlock reading something, I start doubting if the writer has the ability to explain it, and then I get frustrated.
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  8399. It's crazy to think that when this book was first published, nobody knew what a quark was. I THINK, and I could be wrong, protons/neutrons were thought to be point-like particles. On a side note, many of my professors would make a point out of saying something like, "we think electrons are point-like particles," just in case one of their students later discover they are not point-like particles.
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  8400. we need book reviews pls, your book review on Calculus Made Easy helped me so much, I used the book to get introduced to calculus and I have such a good fundamental knowledge of calculus now, thank you so much
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  8401. I'm 66 and a retired NYC Fireman. I am about to start my journey in 7 days towards an online Math degree. 1st up is Discrete Mathematics (The 1st Math course I'm taking). I love your videos Math Sorcerer. You're a Great Inspiration !!! Thanks
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  8402. Uk coming to your channel is like really going to a maths sorcerer, a place of wonder magic and absolute bliss. Its the feeling that it gives me that makes me wanna keep coming back. The stories, the experience, the drive to engage people and fall for Maths like its the absolute ultimate truth of life. I love your passion. It's like visting your grandparents to hoard a lot of wisdom all at once and you just never wanna stop going. Idk im a teenager, that's how it feels❤ Hopefully I'll meet you in the future someday.
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  8403. speaking the language of the gods
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  8404. Briefly speaking, I like to think of myself as exuberant at maths: everyone thinks so within my class! I'm in set 1 for everything and I am currently in year 10! I speak several languages and was born in a country where maths was learnt at a fast and efficient pace. Ever since I was 3 years old I understood what basic addition and subtraction was in which they were questions such as: 5+19 and 24-19 etc. My personal record within algebra ( both basic and higher tier) was 120 questions within 58 seconds in which I got every single question correct. I remember the people around me and my class in general being like "how are u so smart", "how did u finish so quick" the people next to me were similar and also started questioning how my hand could right at such a quick and efficient pace. After taking this into consideration, it could also be that because some people were taught maths at a younger age and have practiced over time they progressively had gotten better at the subject. It's the same with every other subject: whether it's science or history in order to achieve high marks and have a faster mentality rate etc u can then connotate it to a phrase which may sound familiar to u, "Practice makes perfect"
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  8405. Like you I love older books, I just got one from 1962: "Operational Methods for Linear Systems" by Wilfred Kaplan. I also have a copy of his "Advanced Calculus".
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  8406. How to Design Programs (HtDP) is a textbook by Matthias Felleisen, Robert Bruce Findler, Matthew Flatt, and Shriram Krishnamurthi based on this book. Gerald Sussman wrote Software Design for Flexibility the next step of the SCIP.
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  8407. Greetings Mr.Professor, Thanks for the Wonderful Share of Ramanujan,The Magnanimous Mathematician who is Way Ahead in Past, Present & Future Period in The Mathematical Expertise in all aspects. With regards, RanjithJoseph (R.J)
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  8408. I think happiness just comes when it comes. You cannot choose to be happy because if you do that then you are artificially happy. If body i healthy and one does thing which one loves then it comes
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  8409. "only 200 dollars" lmao
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  8410. "Fun" fact: in my high school book the part where you deal with the unitary circle is called goniometry, while trig is defined as goniometry applied to triangles
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  8411. “Good” grades are a necessary but insufficient metric for success (provided your professor is fair in terms of difficulty). Personally, I got an A in a point-set topology grad level course, and the professor assigned difficult problems and graded fairly hard, but I didn’t come out of it confident with my understanding of topology. To this day, I’d say it’s the weakest subject of mine that I’ve learned about. Overall, I’d say grades are important, but that one should never use their grade as sole evidence that they properly understood the subject matter.
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  8412. Me too, dude. I made my schedule so that I could go up "into the stacks" of the library to work my problems. I suppose we all are a little OCD or a little autistic. Who else gets degrees in math?
    7
  8413. Let me tell you, grade school teaching is completely different. There is no freedom and the students, parents AND faculty at every level (peer and above) can be incredibly difficult to deal with. Constant new required training, curriculum changes and policy changes that you have to keep up with all while meeting society's demands for giving hundreds of kids the best education in the world. At the end of the day, your salary is pretty low, and you don't get paid for grading or planning. You really have to find joy in educating young minds in order to find any value in the job. It can be extremely rewarding, but it's a demanding job with tight expectations.
    7
  8414. is this EVERYTHING i would need to know to be able to do calculus? like this video covers everything right?
    7
  8415. Calculus by Michael Spivak (4th ed.) is "good." That's for those with interest in Pure Mathematics. For those crazy about Applied Mathematics, Calculus by J. E. Marsden is "excellent" Noel from Nigeria!
    7
  8416. Hey there, thanks for all the great content. I was wondering if you could please do more basic proof writing (direct proofs/proof by contradiction/contrapositive)?
    7
  8417. "how do i do it? I just memorise them" .......................
    7
  8418. Omg I can't believe how useful your videos have been to me I search a lot of stuff about complex analysis and I find you in almost all of my searches. Thank you for these videos
    7
  8419. Yes, less is more kinda of studying. Lots of goods things comes in small packages too. It was awesome experience. I am not sure if studying grammar is helpful to others. I started doing a few math questions every day in 2019 and ever since because of the book Atomic Habits by James Clear. I wanted to learn maths again because I used to be good at maths at school and college but I didn't really know what my teachers were talking about. I learnt maths for a wrong reason, it was a drill, it wasn't understanding maths conceptually. I used to be able to solve maths questions while not understanding what they were all about. I started studying English Grammar in Dec 2021 - basic, intermediate, advanced because I wanted to write things better. A few years after I first started in Maths. In so far, studying grammar has surprised me when I read maths questions, I can see how it has changed myself when I read questions. My understanding of maths questions have became crisper, clearer and sharper. It has reached to a point on how I love how the questions were written, and I even hand-copy each question, and one day I want to write my own questions.
    7
  8420. Sir I really like your videos on calculus.
    7
  8421. Math is the only place where truth and beauty mean the same thing.
    7
  8422. Practicing trigs right now, thx i needed this.
    7
  8423. came hare to see the first video know the chennel from the video mathmatics start to finish
    7
  8424. You could also mention that many majors share much between them, the STEM in particular have a good chunk of material that is common between them, it's not like someone who likes physics but majors in mechanical engineering would dislike it.
    7
  8425. it's so rare that a math tutor/teacher lets you be confused and tries to actually understand what you're not understanding. That's where the magic happens, but 99% of the tutors I've worked with just do the problem for me. It's like they're showing off that they can do it and I can't
    7
  8426. The Iceberg Meme: the portion above the water is what people see; what's below the water is the effort, blood, sweat & tears expended to get there.
    7
  8427. That smell is called Bibliochor.
    7
  8428. U have awakened mathematician in me, now I will work hard, 10Q
    7
  8429. karen being karen 😂😂😂
    7
  8430. Thank you very much from Colombia. I´m was freaking off with the same exercise till I saw your video... Good job (Y)
    7
  8431. When you mentioned having a calc professor who never actually did an example, I was like yes! I can identify (unfortunately). All I get are PowerPoints with the steps (and videos where he reads the steps from said PowerPoints) and he never actually does all the work and all the algebra associated with it. That is why I come here to actually understand it instead of memorizing the formulas to get an A. BTW I learned in Spanish 2 that the nap Spanish people take is called the siesta, it's a 20 minute nap after lunch (their largest meal) to sleep it off. In your words, extra knowledge!! Thanks:)
    7
  8432. great video, these videos help me daily on getting things done. i find myself procrastinating more than i should but these videos are giving me the attitude i need to achieve the goals i want to achieve. thanks
    7
  8433. I used to watch videos about maths or science as an intro to the topic , then i go inside books and fun begins...
    7
  8434. Very nice. I appreciate you working out the problem as an example. I have not worked these types types of problems since 1977 when I was in a DE class. It brought memories. Thank you
    7
  8435. Wow thanks so much bro great explanation & energy
    7
  8436. thank you so much! I'm from México and your video helped me a lot for my homework 💫
    7
  8437. ur explanations are always so clear thank u
    7
  8438. ​ @TheMathSorcerer  : He eventually stopped grading my assignments. I did them anyway and just kept them. Showed them to my prof at the end of term. He just glanced through them and counted them all good. :) He was an excellent prof -- one of my favourites. He was (East) Indian and listened to Indian classical music. Playing some for me he said 'What she is doing is creating a continuous function with her voice'.
    7
  8439. The Instructor's energy is awesome! thank u so much
    7
  8440. The McSquared book looks like a hoot. I ordered one.. and my George S Carr book should arrive today.. so hopefully that will be fun.
    7
  8441. I know that grade matters. But I hate that grade matters.
    7
  8442. Hello sir, can you please make a review of the book higher algebra by hall and knight? Thanks
    7
  8443. got online qualifying exam coming up this month lol
    7
  8444. I had a question that has been bugging me for a while. Should I work on Advanced Calculus textbook by Woods or Calculus by Spivak? I mainly want to solve problems, not necessarily to relearn calculus. Although with Woods I can learn the new stuff he covers in the later chapters. Perhaps you can give me your opinion on this matter. I am a Freshman by the way at UofT (Toronto).
    7
  8445. Collecting books is a wonderful obsession, especially math and science books! That's cool that you are a collector of other things too. My book collection is not as large as yours, but someday it will be! You're an inspiration!
    7
  8446. I wish I could win the lottery, quit my dumb job and watch all your videos. Math is not just an engineering tool, it is a beautiful world unto its own. Thanks.
    7
  8447. Great advice!,now i "just" have to get a schoolarship lol
    7
  8448. I'll say it again, you are doing God's work Thank you so much for sharing this amazing kind of content and interesting books God bless you man
    7
  8449. Congratulations math sorcerer for 500 k subscriber 🎉💐
    7
  8450. Thank you so much. It really shouldn't be as hard to explain as some professors make it seem.
    7
  8451. I can’t imagine the stress of getting a second bachelors. That’s why, in my first year of college, I’m so worried about making the right choice.
    7
  8452. Discrete math was one of my hardest classes bro
    7
  8453. I have zero idea of what topology even is, but I watch your videos anyway, so I get more comfortable with mathematical subjects and language.
    7
  8454. Lol this channel’s fan base is, pound for pound, the most active and engaging I’ve seen on YouTube.
    7
  8455. Excellent books....!!!👏🏻👏🏻
    7
  8456. Woods along with co-author Frederick H. Bailey (also of MIT) wrote: Elementary Calculus. It was meant for first year students.
    7
  8457. Just a tip: you can get a small blue halo around the mouse pointer so that one can see what your mouse pointer is pointing at. I saw that on a course once. any questions, just ask me.
    7
  8458. Hi man! I am really far away here in Brazil, but you just got the same feelings that all my math teachers had! Thank you for this! And no, I am not a math man, I am the IT guy, but I love math haha
    7
  8459. you have no idea how your videos really help me , so thank you so much.
    7
  8460. It's extremely easy to follow this textbook. All you need is a familiarity with metric spaces and metric topology. It's the only possible choice to learn Functional Analysis even if you don't have any knowledge of Lebesgue Integration. I love this book. Kreyszig has a great ability to simplify complicated subject matter. His textbook on Differential Geometry is also quite good.
    7
  8461. laying on the floor reading books. i can relate!
    7
  8462. I don't think you need a high IQ to excell In maths. I have an IQ of 128(would have become part of mensa if I got 129 lol) and my friend got 102. Despite this he always gets the highest grade in the class and I am usually 3rd or 4th so I don't think that IQ is a factor.
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  8463. 1:32 > "operator calculus" if you are introduced to this in right way, it's the most engaging part (after algebraic geometry) in intermediate maths i got to say. to me, this is like the VSEPR theory in mathematics. A simplification of existing complicated concepts, but with uncertain backing (at least when it started). And now, woah, it has got at least 2-3 basis as its backing (src: please pardon me, but its wikipedia :sweat_smile:). Awesome. thanks a lot khan academy for you videos on "DE: undetermined coefficients" which unintentionally led me to discover this particular name on my own.
    7
  8464. Definitely felt this way a couple times in undergrad.
    7
  8465. Sir consume vitamin D, and Cod Liver Oil Also, Homoeopathy is very effective. Obviously, what has to happen is in God's hands, these are just precautionary measures😊
    7
  8466. Can I learn Math from textbooks without taking a degree ?
    7
  8467. i loved your advice videos, and now i also love your math videos, great channel for us early mathematicians
    7
  8468. Thank you sir your videos really helped me , can you make one for mathematical induction , my induction proofs are mostly wrong . Please help.
    7
  8469. Love it or hate it: test taking matters. Good scores on your Subject and General GRE carry a lot of weight. Building a good rapport with your faculty is also critical.
    7
  8470. Another great book is "Higher Math for beginners" by Zeldovich & Yaglom.
    7
  8471. Great vid as always
    7
  8472. I think of all the things I learnt in the earliest days of returning to maths the most "mathematically useful" was transformations of functions. (So how to shift the "basic function" by using f(x-2) to go in the + direction, or f(x+2) to shift it left, and then the way functions scale and stretch, invert, reflect, etc.) The idea of a function as an object that can be handled as a single entity was something it was once important for me to get into my head. Or let's say that's what seemed more obviously "mathematical" at the time. The idea that trig was the rule of a set of numbers might have had deeper significance. (I'm digging around in what are now quite old memories, so the impressions are a bit sketchy now, but I think this is how it was.) Why mention it? I suppose it might be a good direction to send other beginners in. Trig was hard-ish, but I have a quite good memory (or had; it doesn't work all that well these days), so the memorization aspect wasn't too bad. Among the strategies was to not be too "mathematically fastidious" about how you remember the things you need to have ready to hand when the exam comes up. If some kind of image of a pork pie covered in Rat Salad is what it takes to make some pi-number stick, just use that. Understand why with one half of your mind, and when necessary, remember by tricking the part that could be trained to sit and fetch a stick. "Don't be too proud to also learn "sit!" and "fetch the ball!" ".
    7
  8473. And here I am with my libgen PDFs
    7
  8474. I write ALL my math problems with Bic Round Stic pens. "[Writes 90% longer. . .]" 😉. I bought a box of 60 when I started a couple of years ago, and I've drained four of them so far. I keep all my spiral-bound notebooks as I fill them up. The ink gives me a permanent record of every STUPID mistake I make along the trail. 😆
    7
  8475. Marcus Aurelius The Great Roman Emperor Also One of the Greatest Philosopher Of all Time .
    7
  8476. Back then textbooks weren't filled with useless stuffs to make textbooks bigger and more expensive
    7
  8477. You have a natural ability to teach. Really good work here, thank you for putting this up.
    7
  8478. The guy here on YouTube who wrote the car engine simulator comes to mind, such a cool thing that sounds super realistic just from understanding the building blocks deeply. Also Pianoteq models the sound of a piano super well. I imagine a lot of beautiful mathematics there. (Am I being ignorant and maybe the term is physics? But isn't it just math? Lol) Absolutely love the channel by the way, you're awesome!
    7
  8479. I’m going into calc next semester so might as well get ahead, you are a great teacher I subbed!
    7
  8480. I love all these book commentary videos. The more the better. You could do more extended commentary for each book, just thoughts or impressions, I’ll never get bored.
    7
  8481. Man, I didn't even finished this lecture yet, but it's SO GOOD! Most energetic professor hahahah
    7
  8482. I love how this was uploaded the day I did my Calculus 1 final.
    7
  8483. FYI Sheldon Ross has written two different books: (1) Intro to Probability and (2) Probability Models. The latter one is somewhat more advanced and assumes you already took a course on probability theory. Not sure how prepared you are on the finance knowledge side, but assuming you're not well versed on the topic I suggest you start with Bodie/Kane/Marcus's Investments. Fairly comprehensive, includes a lot of mathematical explanation of important theories in finance and investing. After you read that cover to cover (highly suggested), then move on to Hull's "Options Futures and Swaps" to learn the fundamentals of derivatives (the finance kind, not the calculus kind).
    7
  8484. Great books! Mendelson's Introduction to Topology is yet another good book
    7
  8485. All those courses which you did during the 1st semester of grad school (MSc) are requirements for the bsc in every university in my country. My 1st semester was representation theory, spectral analysis and ergodic theory and this was way too much.
    7
  8486. thank you, living in the moment and keep going. start immediately. one step at a time.
    7
  8487. Thank you. Any thoughts on getting an engineer degree with below average math skills?
    7
  8488. i scored Maths the lowest in my graduate exam and now look where I am.. Maths video on Youtube omg
    7
  8489. Would you recommend taking college algebra or pre calc in college? I am going into engineering and I don't want to be behind but I don't want to struggle either. I took calculus in high school and I struggled with it due to the algebra.
    7
  8490. I think time is really important. I understand many math concepts better now many years after I graduated from school because I spend a lot of time reading different math textbooks. I only understood the surface when I was in school. It really takes a lot of time for the information to sink in.
    7
  8491. This is the book Is amazing and there is a terrible translation of it in persian😅😆
    7
  8492. How lucky to find this video. The third edition is available on Amazon.
    7
  8493. There is a special feeling of joy in how ridiculously cheap used texts can be sometimes.
    7
  8494. why?
    7
  8495. Unfortunately, I'm most inspired to do math during my working hours, and then after work I always have chores and errands. As a result, I almost always do my math just before bed, where physical exhaustion is the only thing to make me put my pencil down. :'(
    7
  8496. I think you dropped this, King. 👑
    7
  8497. I’m just an idiot apparently
    7
  8498. one of the things i've learned while studying math is learning the rules instead of the methods to solving equations and then thinking about why the rules work makes math easier.
    7
  8499. Thanks teach.
    7
  8500. You know you're a math person when you have multiple books on a subject, e.g. more than one calc book, more than one LA book, more than one DiffEQ book. Much of my personal library is math, languages, physics, chems, bio, biochem, crafting, music, cooking, and baking. And it's dwarfed by my sister's larger-than-some-public-libraries collections on a broader range of scholastic and non-scholastic topics. Slide rules. Abacuses. Cards. Dice. You name it. All a tiny fraction of my world, but one in which I choose to show my children. And my daughter LOVES math! It's her favorite subject, and she's in second grade!
    7
  8501. Yeah, in USSR we have so many great physicists-teoretics like Landau, Zeldovich, Tsiolkovsky. But now there are very few good physics books published even in Russian.
    7
  8502. thanks man for your work, really understood what are limit points!! keep it going support here from Portugal!!
    7
  8503. This is something I have thought about. Math is about tackling problems over and over until you figure it out. The frequent struggles we overcome before finally grasping how to apply the formulas/techniques. Our minds are so overwhelmed with frustrations that eventually we get used to it. We get used to the notion that things don't always work out the way we want/expect and that we may have to think of other approaches. We understand that mental struggle is temporary. That things will work out if we just keep trying. People who write off math as too difficult for them and is "only for smart people" do not enjoy this benefit we enjoy. If they will learn that lesson, it will be from some other part of their life. Or they can just drink their problems away (read: run away). Studying math helped me to develop a sense of inner peace. Not only for the reasons above, but also for its consistency. It's like a Bible. I faithfully study the topics and work with them. Knowing that what I learned thus far will almost assuredly agree with new things I learn.
    7
  8504. this channel is beautiful
    7
  8505. Sus
    7
  8506. I like your ideas on complex numbers changed to polar coordinates
    7
  8507. My hardest was non-euclidean geometry. I had been out of math classes for four years. Topology was fun. Thanks for your channel!
    7
  8508. So funny. Your video makes me smile though the clip was edited for your purpose. There are just two dog students, and you get paid? lol. Let me play with your dogs, I don't need good grades though.
    7
  8509. BLACK COFFEE, BACON & BESSEL FUNCTIONS!!
    7
  8510. Thanks man the explanation was excellent I understood better from you than any other video because I am preparing for an upcoming exam this really helped out a lot
    7
  8511. Calculus 2 is the hardest math class I have ever taken and I did my best in it. You have little knowledge going into calculus 2 and a little knowledge coming out, but once you get past that you can call yourself pretty knowledgeable over math. I decide to continue beyond this calculus game.
    7
  8512. The tech lead just makes it look easy to be a millionaire
    7
  8513. This is cool, thanks for sharing
    7
  8514. 30 min a day....but for how many days?
    7
  8515. Sir I am so thankful for your videos, going through some tough time and unable to focus on my work and studies. Keep making the awesome content, thanks again sir.
    7
  8516. Three of the most powerful words there are: I CAN LEARN.
    7
  8517. Beautiful. The counterintuitive nature of how "berating ourselves for self-studying badly" causes us to ultimately discourage ourselves out of self-studying is huge. Reminds me of my recent studies in the dangers of "overimportance" and how we can reach things easily by "imagining they have already happened". Vadim Zeland and Neville Goddard ideas. The beauty of these approaches to the future are they "inoculate" you against causing damage to your own self-belief when you inevitably want it too badly and in your own "wanting", you cause yourself to lose faith in your new venture. The common thread in our unconscious reactions to new ventures is... of course, since we never did this before, our minds will predict we will fail. And it wants things to be predictable and for you to be right. So it predicts that you will fail and convinces you of this. And then, you quit! To counteract this, we use our imagination and give ourselves the triumph of accomplishing our goal now. And with this new juicy memory, you simply can live into your already-experienced future. You are not struggling towards your future... rather, you are living into your already-certain future.
    7
  8518. Your Discrete math professor reminded me of my Discrete math professor, he was/is a great teacher, he used the marker and projector method too, and he used to grind every simple concept down so you can absorb it just listening to him. one of the best I've ever had.
    7
  8519. Jeff bezos’ long lost twin
    7
  8520. Fascinating review as always, and you're lucky - actually you know where to "dig" - that you got his personal book and notes! Can you do a review of a modern similar book: "Mathematics pocket book for Engineers and Scientists" By John Bird?
    7
  8521. This is the complex analysis book that I have
    7
  8522. Cabal of Mathematicians
    7
  8523. Watching your videos keeps the blade of proofs sharp. This channel isn't nearly as watched as it should be.
    7
  8524. Hardy himself said that ramanujan was better than him
    7
  8525.  @sohybali2696  mate, math is like a spider web where everything is interconnected. Every single advancement in the field has been important. EVERY SINGLE!
    7
  8526. I completely agree with you word problems are a nightmare in math everyone in my high school thought that Pre cal was the hardest math but I found it the opposite it was the easiest for me because of less word problems but it’s weird Physics is the only class where I can do word problems because of how easy I understand the concepts and it’s what interests me about it the most
    7
  8527. Thank you so much sir
    7
  8528. Thank you, this was extremely useful!
    7
  8529. How to study maths ? Let's start with the PENCIL!
    7
  8530. In Linear Alg. Right now, working on subspaces right now, perfect timing to pop up on my home page.
    7
  8531. Haha this is great
    7
  8532. Great video, sorcerer, as a profitable trader using mainly TA I was extremely surprised that a reputable person like yourself would actually vouch for TA. Of course, many theories in this book are extremely outdated and pretty much obsolete it still covers the general gist of what modern day TA is. Remember that TA is sort of a bi product of human behaviour, statistical observations and patterns that occur because of factors which drive the market.
    7
  8533. Very clearly explained, thank you!
    7
  8534. As someone that was forced to take use Rudin way before I should have, I found Bartle's book and it really was written with care to guide someone through the process of learning analysis.
    7
  8535. oh my gosh this last week I had been feeling the exact same thing!! I am studying for my placement exam into calc I and had forgotten everything from my college algebra and trig! I had been on a gap year and was kicking myself for not going further, let alone loosing all the skills i had. Thank you for this video! I try to motivate myself by remembering how St Thomas Aquinas was called a dumb ox by his classmates- but look what he went on to achieve!!!! You may take more time and seem like a "dumb ox" to everyone else, but you can better understand what has been done before (Aristotelian philosophy) and build upon it to make something even better (Dominican philosophy and theology). I doubt someone would call him a dumb ox now, and just because he was called one then, that was never his identity! He wasn't dumb before or after he wrote the summa, because his works never determined what/in who his identity was to be found in.
    7
  8536. Congratulations sir! Well achievement. Thanks a lot to make me doesn't hate math for my lifetime💯💯
    7
  8537. This is great! I'm currently self-studying math for the first time in my life! Previously I've coasted by with just a natural aptitude for math but I realize that I have some gaps in a completely rigid understanding and so I feel that I need to sharpen my skills. I currently only study for about 30 minutes every day but I am just starting out so I want to go slow before I jump into 1-2-3 hours of studying. Thanks for the terrific content as always!
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  8538. Was the π delicious?
    7
  8539. Good evening ^^ nice vid again ^^
    7
  8540. Sir again coming with like this old book 😅📚 review.i like old style writing books.love from Nepal 🇳🇵
    7
  8541. Math motivation, and a reminder to hit the gym. It's a one stop shop here!
    7
  8542. Thank you, I really needed this right now.
    7
  8543. I'm currently in Engineering Statistics right now and am feeling all of this emotions cause I can't seem to understand this stuff. While everyone in my class is figuring it out (answering the professors's questions in class), I'm falling behind and it bothers so much cause I can't figure out how Stats work and have been feeling nothing but anger and zero motivation. It does help me a bit finding this video cause I know what I have to do but feel empty right now.
    7
  8544. Good evening!
    7
  8545. we finna hit them streets wit this one 🗣🗣🗣🗣🔥🔥🚒
    7
  8546. I know this is really off topic, but have you read Lord of the Rings?
    7
  8547. He kinda looks like Stewart from The Big Bang Theory. With longer hair.
    7
  8548. Thanks! Saves me a lot of time!
    7
  8549. I recently purchased a book about set theory by Felix Hausdorff you were talking about in one of your videos and I love it, thanks for recomanding.
    7
  8550. Do you have any N. Bourbaki books in your collection? If so, it would be interesting to hear your opinion on some of them. Also, have you ever heard about Treatise on Analysis by Jean Dieudonné (a member of the Bourbaki)? It's a nine volume work, the first volume of which was intended to be a very advanced graduate analysis course (also called Foundations of Modern Analysis).
    7
  8551. Fingers crossed I get into at least one math graduate program this year
    7
  8552. The perfect crossover doesn't exi...
    7
  8553. You know you've a great following, when there are 0 dislikes (as of 30th Nov 2020).
    7
  8554. Yes. Please do a walk-through of your math library right behind you. That would be really awesome as I myself also become very interested in collecting math books lately
    7
  8555. I take a day off for every half hour of study. I'm a Year ahead so far 😀
    7
  8556. TLDR; He recommends maths books from beginner friendly to more advanced topics
    7
  8557. I don't think learning fast is a talent. I'd prefer much more to be that person that maybe takes longer to learn something, but then becomes really creative with it, you know, at least getting fazed by the learning material a little bit, not just throwing it into your universal light speed trash can memory to retrieve it during the test. That's no talent to me... things take time, so maybe you're talented, but just didn't get to the point where it matters yet.
    7
  8558. I went into a job I didn't love but didn't hate. I'm glad I did. I don't hate Mondays and I still have weekends off to pursue anything that interests me.
    7
  8559. So cool you posted this today! I’m taking a linear algebra course and calculus 2 this summer and started preparing for linear algebra yesterday with Elementary Linear Algebra by Anton
    7
  8560. The guy Is honest,and honesty makes you feel the need to learn more
    7
  8561. Ur channel is so useful and filled a long void tht was existting in maths education.... 💯✔️👌👑😇👍
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  8562. haha 😂 I like your shirt. This kind of shirt only exist in first-year calculus because it is still easy. If it is dressed on PDE or ODE course, I will distract. Counting the number of stars on your shirt for whole lecture😂
    7
  8563.  @TheMathSorcerer  Is the second edition of the only edition that you would recommend, or would any other edition be just as useful? I am entirely self taught if this factors into your answer. Thank you!!
    7
  8564. I am a procrastinator and this video touches me, but one problem is (and i know again excuses) that I don’t know what to start, it feels like i will start something and put effort then realize I don’t even like it. Sorry English isn’t my first language 😅 anyways great video
    7
  8565. What about the two volume, "Calculus" by Tom M. Apostol? It's up there right along with Spivak.
    7
  8566. I've failed real analysis thrice, but I don't think I've really tried...
    7
  8567. This should have been the first video for the New Year 😉
    7
  8568.  @TheMathSorcerer  I am sure you will be hired to play him as the actor :)
    7
  8569. Absolutely love that you're trying new things with your videos! However, I still do find your videos alot more relaxing without additive music. Anyways, keep these videos coming!
    7
  8570. I really like your energy. I am really motivated. Thank you!
    7
  8571. In my experience, my ability to achieve mathematical happiness was partially ruined by bad teachers and bad books.
    7
  8572. Reject humanity, return to math
    7
  8573. It brings me great joy to see your channel flourish. I came here for the book recommendations when your channel was new and stayed for the motivation and tips.
    7
  8574. A interesting book is Mathematical physics by Butkov, that is a very hard book for physics ! I would like you have review about that book.
    7
  8575. Thank you so much for getting straight to the point! Super helpful 🤩
    7
  8576. You are a champion
    7
  8577. The red mark you could not identify says Sichuan University (四川大学)
    7
  8578. Have we introduced the good ol' slap to your face? Every time I find myself not preforming at my peak, I slap both of my cheeks and open my eyes with this sort of renewed vigor, this sort of strange almost unwarranted confidence that "I've got this!" and I always succeed after the good ol' slap in the face.
    7
  8579. In my heady student days, long ago & far away, we had to produce quality looking Graphs & Maths for technical reports using Architect's Technical Pens, produced by the German Pen Company: Staedtler. These were very expensive pens which produced wonderfully precise, black lines using the little China Black bottle of Ink, supplied There was a whole system of interconnected parts with nibs ranging from 0.3mm upwards. The pens were very well engineered, and you could literally take every piece apart to clean out any lingering gunge! This was long before any of the CAD/CAM programmes like AutoCad appeared on the market, and everything had to be done by hand and we also used the rub-down Letraset font system to produce nice labels and titles. A very slow & labourious process. Oh Happy Days!
    7
  8580. Great points. I actually read mainly PDF books now and so the second option is out of it. Definitely agree with quiet and also the best time when my brain is hot and that's first thing in the morning. The last point is also great and I have been working on that on my own for a while now. Always plan before you start and do not deviate. For the second I am working on my self discipline: do not check emails and social media until a particular time and afterwards back to work. Keep it up
    7
  8581. Tha difference is that they are different symbols.
    7
  8582. Where can one buy it?
    7
  8583. Yes I learned to do not wait "Till You Feel like" That holds you back. I learned hard way but am happy to have realized this. Thank you 😊 New sub
    7
  8584. You should review noyce and dripema differential equations 9th edition and also sheldon Ross a first course in probability.
    7
  8585. you're completely right. i got a 63 on my real analysis exam, and the questions i missed were a combination of dumb arithmetic mistakes and failure to recall the theorems fast enough. i 100% didnt study enough for the exam and i completely owned up to it. i have a final tomorrow for real analysis and im going to study so much for it
    7
  8586. Terrific channel, yes.
    7
  8587. Thank you!!! My textbook is terrible and just skipped the whole step of adding the opposite value to keep it balanced. Then their online videos just skip it too. As an adult student I am horrified by the dismal quality of textbooks these days. They weren’t this bad a decade ago.
    7
  8588. I don't worry about my grades I only care about my mastery in chemistry, physics, and mathematics.
    7
  8589. Thank you very much bud your video was a life saver i was not understanding anything relating to this different notation as i entered university math math papers because i was used to the good old f(x) and domain and ranges being expressed as inequalities between two constants you just saved me from the brink of losing hope
    7
  8590. I agree with the environment. One of the underated factors in learning math.
    7
  8591. thanks, one thing which was hindering my math efficiency was not writing freely. having a lot of spare pages and writing freely on it without worrying about margins and font size really helped me.
    7
  8592. wow sir u r best
    7
  8593. Modern Analysis by Whittaker and Watson is also a book which includes several special functions and in general it can be called a legendary book as it way more information than a standard analysis book.
    7
  8594. Interesting. With the typical discussions of Stewart and Spivak, etc. one doesn't see Thomas mentioned much. When I was an Engineering student in the early 1970's we used Thomas Calculus 3rd addition. It was always easy to identify a young Engineering, Science, or Math major as they lugged around their light blue Thomas Calculus book. I think it might have been the most popular Calculus book at the time, but I don't know that. Of course as an Engineering major I probably didn't appreciate calculus as much as the math majors. I think I appreciate it more now.
    7
  8595. Your channel is amazing. I'm going to give you my two cents. You have exercises by discipline. Book recommendations. Book Review. The craftsmanship of study and learning mathematics. As an observation you can organize these materials by subject and subsubject. This channel grew a lot in content. Having a small glossary or a map of videos would help the practitioner get started. This became your hobby and your job at the same time. Never quit. Many people need this.
    7
  8596. Can you do a similar video for linear algebra, probability & statistics?
    7
  8597. This is exactly the kind of example I was looking for. Thank you so very much!! :)
    7
  8598. 0:31 my current situation right now with integration , feel like giving up man
    7
  8599. I think that 9999/10000 people feel the way this person does, atleast a few times. I think that confusion is sometimes is just a part of the process, unfortunately it happens to be the first step when this is the case, of learning difficult subjects.
    7
  8600. math professors are NEVER late wdym bruh?!?!
    7
  8601. It's like a math methods for physics but for mathematicians lol
    7
  8602. I think you are my main role model. When I see your love for math, it inspires me to awaken that passion that I have always had inside of me and strive to work towards developing that into a more mature mathematical ability. And your ability to start from the basics up to becoming a professor is extremely inspiring! I have noticed that ever since I started watching your videos, I have realized that math is something I want to learn and that I am not afraid to go into higher courses even if they may be difficult. Of course, I can revere Terrence tao, Gregori Perelman, Leonhard Euler, but I look up to you.
    7
  8603. “Early to rise and early to bed makes a person healthy but socially dead.”
    7
  8604. Studying math ❌ Talk about studying math ✅
    7
  8605. @TheMathSorcerer I really like your videos. Somehow they make me more motivated to learn something new on my free time instead procrastinating. I also got addicted to collecting books and doing research.
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  8606. Hey professor, I started watching your videos when I came back to college after a 7 year break and I was having a hard time in Calculus. Thank you for the encouragement and wise counsel :) I am finishing my associates degree summer semester and I have applied to a BS program to study Math this fall. My mentor is one of my best friends who happened to get a PhD in topological quantum computing.
    7
  8607. Is this your man's cave?
    7
  8608. I'm studying hard now, with the focus on proof writing.
    7
  8609. Showed this to a Thermal and Statistical Physics student today so they could understand an entropy problem and it was extremely helpful to them!
    7
  8610. i'm 41 yo i used to be engineer in mechatronics, due an accident that crippled me and instead staying at home i decided to get a second degree as software engineer, i'm a sophomore now and so dar so good
    7
  8611. Hope you do a few more of these type of videos. Very enjoyable! Nothing better than the shuffling of pages and the soft clatter of book board.
    7
  8612. You have to see an invisible one represented in front of the dx so we can get x by integrating. This also goes for integrating lnxdx where u = lnx and dv = 1dx
    7
  8613. Looks beyond my level, but because there's full solutions it really encourages me to give some of the problems a try. Thanks for the recommendation, I've been interested in complex analysis lately.
    7
  8614. I am still on my way to accomplish a lot (I hope at least). But so far, I am proud of learning calculus at 13 but still review to avoid forgetting just incase haha. I am 16 now and have always been learning as much mathematics as I can and will continue indefinitely.
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  8615. Look! The Math Sorcerer is jacked up!
    7
  8616. Dude knows so much he rarely even blinks LOL
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  8617. With regard to the procrastination thing, based on behavioral theory in psychology, that's simply a species-independent response to a fixed reward schedule, as you have fixed times when tests happen and when you get your reward (grade/points) so frantic maximal work tends to happen just before.
    7
  8618. Try applied mathematics areas as well, I think that seem more realistic, since pure math research usually requires a lot of high-level courses.
    7
  8619. I learned Calculus I and II in part from that book, but a french commercial version, back in the 1970's.
    7
  8620. I agree. The self-care part is really important, especially knowing when to stop and rest is crucial. Taking a walk after work is really nice after a chaotic day. Thank you :)
    7
  8621. tell about the math tutor website not about lecturer
    7
  8622. I have been struggling in D.E. lectures of my university since the last few weeks, but just one hour of your video(lecture) made things clear and approachable for me. Much love & support from Northeast India ❤️
    7
  8623. Thank you. It is really hard. I get too absorbed into a particular problem that I forget the amount of time I've spent. Thank you for the advice.
    7
  8624. Love your content, Math Sorcerer. I like playing your videos while I'm doing some of my math homework for engineering courses... it keeps me going.
    7
  8625. Lent my copy to a co-worker last semester (we were taking a bridge class). Had to order a new copy.
    7
  8626. You can prove that the serie is divergent by Cauchy's theorem
    7
  8627. 4:18 ‘I always think of dogs’ __ A Mathematician.
    7
  8628. This forest is awesome.
    7
  8629. Love you sir
    7
  8630. Price action is king. Actual price action, not what most people call price action. The free webinar Volatility Patterns for Day Traders and Scalpers by Chris Lori will show you just the tiny tip of what actual price action is.
    7
  8631. I will definitely check out books by Serge Lang. I love ANCIENT books for schools & colleges. I collect those on not mathematics, physics, engineering, academic writing, technical writing, Gregg shorthand, etc. If you want to keep dustmites away from your precious library, use lavender scent always. That deters them from mating and they die out.
    7
  8632. I love your channel so much! I don’t know why...lol
    7
  8633. In HS in BC Calc in 83-84 we used a sort of cut down version of this book called Elements of Calculus which I think had less analytic geometry and only single variable calculus, made specially for high school students. I really loved it. Plus, unlike all other calc books, it was more the size of a regular hs math book! Much easier in the backpack. We called it Uncle George.
    7
  8634. You are absolutely correct!I am a grade 9 student, but your channel is a source through which I found very good recommend books, which helped me guiding/understanding mathematics, the whole credit goes to you!
    7
  8635. intelligence for me, is an ill defined and ill measured concept. imo, it seems hypothetically, your performance on any task relies mainly how intrinsically motivating it is.
    7
  8636. I used this when I took Vector Analysis in the late 60s.
    7
  8637. Im in my third semester in Germany and i take physics 1, calc 3, numerical linear algebra, computability theory, stochastics and its completly insane. I spend 70 hours a week easily just on math. I guess its fine due to corona, but i am going insane soon!
    7
  8638. Thanks. These are REALLY enjoyable. Like a little daily stretch / exercise
    7
  8639. Libgen for ebooks lol, but hard copies are just better
    7
  8640. Learn math from start to finish Infinity symbol: good luck with that
    7
  8641. I believe calculus-based physics is the most important class in college. A great introduction to a difficult topic.
    7
  8642. I've found I dislike intro calculus, but i like multivariable and my favorite has been linear algebra!
    7
  8643. You've earned my subscription, these videos are much better than Khan academy and others. They provide enough information without going into the theory behind everything.
    7
  8644. Great answer to an excellent question. Listen very carefully to this guy. Quality suggestions. Math allows you more career options and is a great enhancement to most science and engineering programs. If in school, consider adding math to your degree program. I couldn't settle on a science, so picked math until I settled on a Geology and Geophysics and finished with a double BS. The math degree made me stronger in all sciences and engineering for my future. Math allowed me to understand the physics behind geophysics that made for a great career as an o&g explorationist plus utilize and write analytical computer programs and teach HS math.
    7
  8645. Math will never lie to you, it will never abandon you, it’s always there…waiting on you. Join us
    7
  8646. We appreciate your insights. Keep working hard.
    7
  8647. As a math person, I have an interest in astrophysics too.
    7
  8648.  @TheMathSorcerer  Subsequent editions (I have the 4th) use standard function notation.
    7
  8649. I want to thank you for reviewing such a famous book for us Hispanic people. Yeah, absolutely insane but after you finish one single chapter, there aren't any doubts that you learned and understood the topic in full. Mostly you'll have to go back in earlier chapters because maybe you missed or forgot something important and that can get you stuck, but in the end you'll be able to actually TEACH the subject to someone else. It's for people who want to MASTER algebra from start to finish. And something that's great about this book is that it doesn't give arithmetics for granted: it reviews basic math so you can actually start from here. Yeah, as long as I know there are other two books by the professor Aurelio, one is Aritmética and the other Geometría y Trigonometría, both have the same spirit of mastering each topic really deep, head first.
    7
  8650. lol, I love how you're putting out more videos inspiring all of us into math. I think people get better at math when they see the applications the math can be used for. Like if people like money, they use math to make more money, if they are curious about the physical reality of space and time, they use math to understand the latest physics theories and etc.. Thanks for another great video showing us that math is our personal toy box to play with
    7
  8651. Well, there's a reason they call you a professor; you truly profess the truth. Getting good grades, developing empathy, critical thinking and people skills equals a complete package that's ready for the real world. Because the real world resembles jungle warfare and you need many different skills to survive it.
    7
  8652. right now i'm about to enter my second year in cs and boy even tough its hard im having a blast!! really recommend it, you basically get the best of both worlds! programming and maths!!
    7
  8653. Patience is good because it is necessary to endure the extra time that is required to absorb necessary detailed background. For example, L'Hopital's Rule requires a lot of regular algebra and calculus to prepare for a different understanding of dy/dx.
    7
  8654. Look for "Mathematical Proofs: A transition to Advanced Mathematics" by G. Chartrand, A. D. Polimeni and P. Zhang. Really clear to read. Boa sorte nos estudos! Abraços desde RJ
    7
  8655. first viewer , love you 😅
    7
  8656. yep. Best way to start workin hard is to focus on the work rather than the goal imo
    7
  8657. Greetings Mr. Math Sorcerer, Thanks for Pure Nostalgic Moment in Learning Method. Take Care. With regards, RanjithJoseph (R.J)
    7
  8658. I learned a lot of my math from immersing myself into it. Thank God for YouTube which helped me learn a lot
    7
  8659. Man! You ought to do a deep-dive on Topology, the Field in-it of itself is fascinating. Anyway, have a nice day!
    7
  8660. This is taught as basics of integration in class 12 india
    7
  8661. Oh, I just got done commenting on somebody’s comment when it occurred to me that the following might be a good general point to make, that we can go overboard with taking Self Responsibility and imposing all kinds of expectations on ourselves.  You see, back in the Seventies while I was pursuing my BA in Philosophy I was into Zen and Yoga and Trips to India and all that stuff. Well, one time I was in this deep Meditation that went all the say into a Lucid Dream and I found myself sitting at the feet of this Celestial Guru and he said to me, mark this, "To be your own Master you must be your own Slave". Well, OF COURSE, I understood what he meant and instantly took the advice, not realizing that IT'S NOT REALLY A SPIRITUAL TRUTH UNLESS IT WRAPS AROUND INTO PARADOX. You see I figured that it meant it is a GOOD Thing to be a Master even if you victimize yourself along the way. It took YEARS before I realized that what was meant was that you need to work with yourself as a Partner, the Ambitious Ego needs to work with the Body in order to avoid early burnout. Aristotle used to advise Moderation in All Things.  Heck, Swami Vivekananda didn't make it past 40 years old. Yeah, he did a lot of fine work, but some of it did seem hurried.  The point is that you don't need to crack the whip on your own azz. Think in terms of rewards and allurements. Think more in terms of stuff like “If I do this math right now someday I'll be able to get a car that's a real Chick Magnet”, you know, WIN WIN.  But, yeah, again, remember that you are only young once.  Jeezus, maybe the video games 8 hours a day can wait until after your first 10 million, right?
    7
  8662. I love this video because it's so true.
    7
  8663. Motivational video please. How should students deal with stress when they are lagging behind the class. How to keep up
    7
  8664. I REALLY appreciate your clarity. Easy to follow along and very detailed. Thank you!
    7
  8665. But is it true though? I just had a math test this week and the result was so embarrassing, sadly despite my interest in Maths, I havent got what it takes :( .
    7
  8666. Man I really love these short videos where you give advice to us :') As a first generation student studying math at uni it has been an extremely tough challenge. No one in my family knows how the college life works, so they've never been able to offer me advice. I've watched several videos from your inspiration playlist and that has REALLY helped encourage me to keep going. I can feel totally defeated in a math class then watch a few of those videos and I'd feel so much better!! God bless your beautiful soul ❤️🌟✨
    7
  8667. this video comes at a much needed phase of my life
    7
  8668. Thanks teacher! xd I love your books!!
    7
  8669. Siii, al fin encontré la explicación a este ejercicio
    7
  8670. Mr Math I am ready. You have made math sound like an adventure embarking.
    7
  8671. This is kind of off topic, but I always prefer whiteboard and marker, instead of Computer Tutorials(Khan academy types), because with a whiteboard, it feels like I'm interacting with the teacher! Nice video as always sir!
    7
  8672. Schaum's is informative, but it is oh so dry...
    7
  8673. Engineering might be the hardest major but it surely isn’t the most math intensive. Physics and Math majors compete with the engineers when it comes to the amount of math they have to do
    7
  8674. anyone discovered this masterpiece in 2022 ?
    7
  8675. Thanks, this is often forgotten. Have you done videos on how to get unstuck with math problems?
    7
  8676. Hi math sorcerer Do you have any course on IMO maths?
    7
  8677. Hey Math sorcerer you should do a course on Number Theory
    7
  8678. a video that my 9th grade mind can understand after all those proof videos XD
    7
  8679. I have this book and I think it's adorable!
    7
  8680. Thank you, finally I was able to finish my homework. I couldn't figure it on my own
    7
  8681. I also find that how well a person understands the fundamentals will greatly reduce the time required to learn new concepts. For example I flunked calc 2 in high school, because my understanding of algebra and trig was very poor. I got a job as a math tutor and really gained a deep understanding for the fundamentals, I haven’t hit a wall since. Sure I still struggle with some concepts but I have been able to learn them in depth with enough time. I notice this same issue when I am tutoring, a lot of people who struggle in a certain course haven’t given enough time to understand the fundamentals. I think anyone who hasn’t is doomed to hit a wall and have to go back to the basics and actually learn them, instead of taking a course, passing it, but forgetting a lot of vital concepts.
    7
  8682. It is really nostalgic and for me the problem really felt like I was transforming my xy Cartesian plane by an angle to get new axes and then again finding a way to get the old axes. A classic example would be transforming my axes to +45 degree . 😅
    7
  8683. Thank you very much for this detailed explanation, i do understand it ❤️
    7
  8684. bro stop staring at me 👀
    7
  8685. Thanks you, nice explanation
    7
  8686. We still use four figure tables in Nigeria 😁 especially in the first year of high school The exam questions should be familiar to people that studied Engineering especially Civil and Environmental engineering.
    7
  8687. Thankyou very much Easily understandable
    7
  8688. You are such a good teacher, I struggled with this after reading it in Zill’s book.
    7
  8689.  @TheMathSorcerer  I do as well! No reason to not do so. No one is going to hand me Algebraic Geometry on a plate!
    7
  8690. I’m ass at math so here I am
    7
  8691. I completely agree with you. Grigory Perelman is the best example.
    7
  8692. What’s about edition?
    7
  8693. Is there any applications in the book?
    7
  8694. This ai guy looks so real
    7
  8695. Your enthusiasm is contagious
    7
  8696. This is actually crazy because I’m feeling burnt out as well and my name is also Andrew
    7
  8697. Great sir 🥰 I'm from India 🇮🇳
    7
  8698. L’hopital 1) it must go to 0/0 or ∞/∞ 2) the derivatives exist 3) the derivative of the denominator, g’, must not go to 0 on some interval containing the limit value except possibly at the limit value 4) if the limit exists, f’/g’ Then limit f/g = lim f’/g’
    7
  8699. Second viewer
    7
  8700. Best video thanks ❤
    7
  8701. Greetings master Sorcerer!, was nice hear about other latin viewer in this video! nice videos!
    7
  8702. Is there any reason to select hardcover? most of ur book reviews are hardcover version.. Btw this video helped me to select best books
    7
  8703. SICP gang represent
    7
  8704. THANK YOU FOR ALL THE VIDEOS. Could you make a video about how to self-study graph theory? Ps: I saw a Graph Theory book in the background, may i know its author?
    7
  8705. You don’t. That’s the sheer joy of embracing lifelong learning.
    7
  8706. Sir, I'm yet to watch this awesome video,will watch it in some time But I commented before watching just to remind you that TODAY IS π DAY! Also, I am sorry as I was not able to comment due to my exams sir
    7
  8707. Dear Math Sorcerer wish you a very happy and prosperous new year .. your videos are helping me a lot in my studies. Thank you so much..
    7
  8708. Can you make one video on how to make math friends I know no one who is interested in mathematics (and the concept of clubs is not popular here) (By clubs not being popular here means that many schools (1st grade to 10th grade is attended in one school and high school starts from 9th) do not have any clubs of any kind so some online communities or resources might be helpful)
    7
  8709. Great video, this book is truly a masterpiece
    7
  8710. As a mathematician and as a math teacher, IMHO there are 7 key initial abilities for beginners and 5 advanced research level abilities for math enthusiasts, math majors, or math professionals to truly have joy with math and witness its beauty. Instead of hammer it, you go into flow with it.
    7
  8711. Also nice library behind you.
    7
  8712. This is exactly what I have to learn for my economics major this is perfect thank you so much. It would be so cool if there was a similar book about linear algebra that can be used by business/econ major
    7
  8713. Revising it in this video not doing anything for years, now I finally understand how it works instead of cramming!
    7
  8714. I took an online exam but it was very, very difficult about Group theory.
    7
  8715. I’m using this book now. It’s very helpful. One good point is the size of the volume. It leaves some space on the work surface for your pencil and paper. Also, when you open it, it stays open, flat. Some other books are big and the pages flop around, so you spend more time wrestling with the book instead of wrestling with the problems. (Go ahead & mark up the book. You own it! I use highlighter a lot as I study. Pencil in comments, because you may want to remove them later.)
    7
  8716. India
    7
  8717. This came at a right time! I’m sure I failed my differential equations exam a few days ago but then I had to study really hard for my multi-variable calculus exam that was today! And now I have an engineering statics class and a chemistry exam coming up! I want to be an engineer! I have to think about why I wanted this large course load and what I want to accomplish!
    7
  8718. This was a very interesting video 🔥🔥
    7
  8719.  @tauceti8341  That's a big advantage. If you copy you learn literally nothing.
    7
  8720.  @IsomerSoma  || True, but sometimes you need to pass this class to move on.
    7
  8721. hello i am first comment person
    7
  8722. Coronavirus hates this man, find out why.
    7
  8723. Good practice problem in algebra. Vintage books are a tremendous source of challenging problems. On the topic of insane (by this I assume you meant challenging) problems, for a great source of ‘insane’ Integrals to show your audience, I recommend the book by Paul J Nahin called Inside Interesting Integrals. The integrals in this book go well beyond a standard calculus book but are within reach of a good calculus student.
    7
  8724. I retired at age 46. Success spans a spectrum of skill levels, from lifelong specialization to under a year. A semester of Roman architecture will teach you far more than you realize at the time you ace the final. Take risks. If you want to learn big, you have to be willing to lose big. This one is a toughie, I know. This is when you have to reach deep down and ask, "Are they brass? Or, glass?" Finally, have fun. (:
    7
  8725. Your videos are extremely insightful!
    7
  8726. Almost at 1milion Subs… keep up the good work
    7
  8727. Reminds me Bourbaki. Have you also noticed that old Calculus books are more analytical than the recent ones.
    7
  8728. Amazing videos mate, thank you!
    7
  8729. Beautiful video and great voice! Thanks for posting this!
    7
  8730. Currently facing difficulties with both of my math modules this semester and was feeling really dejected. After hearing this, I feel slightly better and have the motivation to get back and try my problems again, thanks so much for this assuring video!
    7
  8731. Can you explain why you’re replacing the 4 with a 1 instead?
    7
  8732. Please review, Topology by Hocking and Young. Also, recommend some advanced probability books. 😊 Greetings from the Philippines 🇵🇭
    7
  8733. I have the first edition. It came out in 1948. Churchill is the original solo author. Later editions added more stuff, but the original contains all the basics. I got my first edition, in like new condition, from a used book store for $5.00.
    7
  8734. Thanks for the short vids like this, good vibe!
    7
  8735. Beautiful advice I totally agree!! I still struggle with finding balance and your comment is really good, thank you!!
    7
  8736. I’m curious what your thoughts are on learning math via chat GPT?
    7
  8737. Fools rush in where Angels fear to tread: Grad School in a STEM Field!
    7
  8738.  @AnthonyLauder  That's an awesome memory and background! For me, I loved my programming languages course in undergrad making just a small interpreter. I got the dragon book and engineering the compiler books but never got time to try them plus a few others. I also missed out on a course in compilers at school. It was just an amazing experience learning all these inner workings of interpreters and a brief look at compilers. If I could get in without a PhD just having a bachelors id be very happy. Kinda a passion of mine in computer science.
    7
  8739. When I took Calculus II, I would separate each topic and do them. After I did them, I would combine them and do them again, but in a different order. For example, I would separate the purely integration question from Series questions. After I completed all of the integration and series separately, I would them combine the questions and do them again in no particular order. Hope that makes sense. I like your method because it is similar to mine.
    7
  8740. This makes it so simple. Wish I had this during calc 3
    7
  8741. Math Sorcerer, I can't stress enough how much you motivate me to pursue mathematics. I'm a junior in high school and thanks to you're great videos, I've gained the motivation to self-study proof writing this Spring/Summer (Book of Proof, which you recommended).
    7
  8742. Thanks for this video. I really needed it. I literally just got done doing a hard problem and was going to “call it a day” but this seriously pushed me to go further. Thanks math sorcerer you’re the best!
    7
  8743. I have this subject this year and my prof is on leave..my last hope is youtube😂😂
    7
  8744. Thanks a lot !!! Exactly what I was looking for
    7
  8745. Thank you math sorcerer
    7
  8746. You should collab with natural hypertrophy
    7
  8747. From complex analysis to abstract algebra to topology, you always have a video on a proof I need help with. Thank you
    7
  8748. You have just saved my life in Complex Analysis. I literally did a memory dump of summations after my A'levels
    7
  8749. Discipline=freedom
    7
  8750. Thanks for tips for those of us who don’t have friends who can serve as study/accountability partners.
    7
  8751. Gosh, you totally killed it within the space of two and half minutes. No long talk...just straight to the point.
    7
  8752. I love this channel.
    7
  8753. That's true we had a teacher that we really loved and she left our class to teach upper classes and when the knew teacher came we didn't like her teaching style at first but then we got used to it. And these are some really great tips for loving math when I was in primary school I hated math it was such a struggle I could barely even memorize the times table only the nine because it has a special pattern but now I'm obsessed with math I even signed up for classes to study math on a different level from school. So basically if you don't love math now who knows you might love it a few years later. Great video you motivate me a lot. ❤✨️
    7
  8754. Study some basic Set Theory first: the use of Sets and Logic are two fundamental tools used in proofs and problems in advanced mathematics. I learned this many years after dropping the second semester of an Abstract Algebra course. (I needed to learn Group Theory at the time, but fell off the Ring.)
    7
  8755. I am from Brazil and I love your channel!
    7
  8756. You don't have nearly enough likes. Thank you.
    7
  8757. Hey prof great video; I read the book called unscale unscale undcale and the one line I remember is the following: In the 1900s the fuel was energy and oil; in the 2000s the energy is now DATA!!! Thus math and coding being the beat majors
    7
  8758. The next question is are they isomorphic as rings?
    7
  8759. I think that's a great new genre for your channel. Thanks for the good content. I love your work!
    7
  8760. I requested this a week or so back and you said it was already in the works. So mostly posting to say thanks and drive up YT metrics.
    7
  8761. Looks like I picked the wrong week to stop sniffing textbooks
    7
  8762. In job interviews, some graduates reveal either their incompetency or signs of having cheated in exams. Experienced interviewers are very quick to catch out cheaters with tricky questions that only true graduates can answer. I believe in academic honesty and hard work. Persistence in studying pays off. On the other hand, some graduates forget what they learned in schools & universities. Watching tutorial videos in YouTube always helps the absent-minded. I keep myself constantly updated on things.
    7
  8763. i was already a minimalist from the get go, i.e. was poor/low-income growing up and im used to not having a lot of things at my disposal.
    7
  8764. Just the way that you explain these qualities is a form of genius itself.
    7
  8765. The kind of exercises we did in Calculus I ! (first chapters: Logic, Higher Algebra)
    7
  8766. I would love to see you go though The 48 Laws of Power by Robert Greene. It smells very nice
    7
  8767. Love your book reviews! It is rare to hear about all the little details these books carry, the 'back story' if you will. Advanced math books sometimes get a reputation as being 'dry' but you show this is far from the case.
    7
  8768. Also failed my first grad school exam!! You quickly realize that in grad school, you just dont have time to stop and dwell on the emotions of faiure, or you won't get the next hw in. And something from another class is probably due tomorrow so just suck it up. Although every hw immediately following a brutal exam has been easy because professors are nice and throw you a bone.
    7
  8769. Thank you for answering my question. This was definitely what I needed to hear. What I want to learn is far over and above what we were required to know in flight school. I have a lot of aerodynamics texts but now want to understand the equations rather than look at them "lovingly" and hope for the best. LOL Thank you TMS. You will always be my teacher.
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  8770. I also collect math books, FWIW. Well, OK, to be fair it might be better to just say that I collect books in general, but my math collection is a pretty big part of my overall library, and I have a particular interest in math books.
    7
  8771. What would you say are the prerequisites for this book? I've found a love for math in recent months, and after going a couple weeks ahead in my AP Calc (covers both AB and BC or college Calc 1 and 2), I've been looking for something to self study alongside my calculus class that won't interfere with it. Thanks! :)
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  8772. your stare pretty scares me 😂
    7
  8773. It is so enjoyable to see you showing these beautiful mathematical books!
    7
  8774. Please make a video about geometry books 🙏🙏🙏🙏
    7
  8775. Bro is getting into shape 👀
    7
  8776. I used to love math so much I still do but it used to come to me so easily but now in College I am struggling with just Calc 1 :( I guess I just need to study better
    7
  8777. I say a strong "NO" to the second degree, the life is too short !
    7
  8778. Is MIR Publisher still alive and still printing science books? I would like to own reprint of books from Soviet-era scientists.
    7
  8779. Dude thank you SO MUCH. My class/book made me feel like I needed to drop out of college cause I wasnt smart enough to finish. Then this video helped me understand the unit in less than 5 min. Incredible
    7
  8780. Needed this today. Thank you so much.
    7
  8781. Im dying to know who were you referring to at 1:32
    7
  8782. Equality x = 1 + 1 + ... + 1 (x equals adding x-many ones) only holds for natural numbers and the classical derivative operator (which can only differentiate continuous functions defined over real or complex numbers) is not defined on the domain of natural numbers...
    7
  8783. Hey!!! I have that book in my private math library!!! :) :) :)
    7
  8784. The “I don’t know how to do most of the homework” one was my calc 2 professor. He started every practice problem with “alright I’m gonna need some help with this one guys” and when we finally finished he would say “yup that’s probably right.” Love ya Dr Smith!
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  8785. Can you do a video on how to create effective math notes when studying from a lecture or a textbook?
    7
  8786. Thank you! Very easy to understand! I definitely needed this!!!!!!
    7
  8787. Computational software is great for plotting data and functions for lab reports and dissertations. It's a great way to learn and it will teach you computer science!
    7
  8788. In my freshman year in college, we switched books -- a common theme in every class, oddly -- and I still have the Arthur Simon book I used back in '83-'84.
    7
  8789. you are literally my hero lol i have been for the past 5 hours to do my homework and this question was making me lose my mind. THANK YOU OMG
    7
  8790. Thanks
    7
  8791. Starting and applied math masters in January, complex analysis is my first class. Pretty excited tbh
    7
  8792. The better you're in math , the better you can solve problems [including relationship]
    7
  8793. I've never heard of "etiquette" in writing math solutions. That's interesting. Although, in a complex analysis class, I remember the professor striking out the "explanations" in my proof. Lolz. It was in such a way that I felt his annoyance if not rage at my submission. In a linear algebra class, where I used a theorem from the assigned reading but was not discussed in class, the professor refused to give me full points because I should have explained the theorem in my submission. So I guess, there's different kinds of professors out there.
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  8794. Very important observations. Consistency is fundamental.
    7
  8795. In India, trig and calc are taught in high school. But unlike the topic wise book, we have to study the so called 'government regulated' text books for math. It's therefore hard to study in a long run. Yeah, several 'indian' good books are available in market, but most of them are purpose oriented. So the concepts, which are not cleared in lower classes, become pain in a**. We have to struggle a lot for higher studies in a third world country.
    7
  8796. I really love this channel. Would really love it if you can do some videos on books about Data Science and Data Analytics. Which combine both CS and mathematics.
    7
  8797. Wait, you're telling me those are just conspiracy theories?!
    7
  8798. Hi Math Sorcerer. Do you recommend doing math over the winter and summer breaks, like a few problems a day like you recommended here? I have a habit of studying my MATLAB book and learning how to code instead of doing proof related math which usually what I end up taking a class of. For some reason I'm fascinated by coding and MATLAB (Amos Gilat). Insightful video. I agree that homeworks and notes are very important for your success in math.
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  8799. Had a lecture on this today, perfect timing!
    7
  8800. Mathematical Analysis was one of the first courses I did as an undergraduate... It was strange for most of us because it set that boundary line from high school math ( which is mainly problem solving) to Undergraduate Math (which is mostly about abstract proofs )
    7
  8801. Great introduction to point-set topology here,
    7
  8802. Indeed I have heard of spherical trigonometry. I found a book titled "Heavenly Mathematics: The Forgotten Art of Spherical Trigonometry", by Glen Van Brummelen.The author is described as "coordinator of mathematics and the physical sciences at Quest University Canada and president of the Canadian Society for History and Philosophy of Mathematics." It was copyrighted 2013 and was published by Princeton University Press. I have not worked my way through the book yet. I will do so in the future.
    7
  8803. Yeah I've heard about those book....some of them are hard. Most of your books are graduate level.
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  8804. Hi Ki-seon, I am like you and have struggled with calculus 1. In my early career I was never particularly talented in the subject of math. In high school I was an average student and scraped by with C's in all my classes. By the time I got to college I had already taken pre-calculus TWICE, I then once again scraped by in Calculus. It was very difficult at first because the concepts were new to me, but with time and effort I became more and more familiar with the topics and the way of mathematical thinking(over-months and months). Fast-forward to today and I am a third-year mathematics student, I am doing well in all my classes and struggle is a daily theme. I have not given up, and that Is why I am here. Struggling through these concepts is completely normal. In some cases I say that Struggle is your friend, it forces you to alter your thinking and build tolerance to adversity. If you keep going you might surprise yourself about what you can accomplish. I never would of thought that I would end up where I am today, but I couldn't be any more happy about my decision to study math.
    7
  8805. God, I really love your Youtube Channel. This type of guidance would have been invaluable during my tenure in Academia.
    7
  8806. You make videos with good contents. I really appreciate that. I have this book, I use it for self-studying, it is good. One book I would also suggest, good for self-study, I use it the most, is "A book of abstract algebra" by Charles C. Pinter. It is wonderful. Also I would appreciate if you make a video about it, because I have a strong believe that Pinter's book will really help those who want self-study abstract algebra. Thanks a lot for these good videos❤
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  8807. I have that book in the Indian Subcontinental paperback edition!! After seeing that you've done a book review video on Lars Ahlfors' (of Finland) complex analysis text, I just might look through it again over the weekend! It's in my bookcase of historically significant math texts where I have Euclid's ELEMENTS, Fibonacci's LIBER ABACI and Whitehead's and Russell's PRINCIPIA MATHEMATICA to name a few. And any math book written by one of the VERY FIRST Fields Medals to be awarded has just GOT TO BE A WINNER!!! Thanks lots for producing and posting this video!!!! :) :) :) :) :) :)
    7
  8808. I took a class with the third book teacher Mr. Schulz and yes of course he is very smart but what made him special was his kindness and approachability. He just wants to share how beautiful math is. Top tier lecturer.
    7
  8809. This is more than what my highschool teacher taught me in 2 weeks of meets.
    7
  8810. Very nice video on Courant and Robbins book. There are many stories around this book (including an attempt of plagiarism) but l am not into that because Courant was a very controversial mathematician. However, there is something about Courant books, they are too 'wordy' so sometimes they require a lot of effort from the reader. Courant belonged to a group of mathematician that were against the Bourbaki style that took over the mathematics in 50 and 60 of the xx century, and still remains in some branches of mathematics (for example algebra). Somehow the book 'what is mathematics?' is an attempt to present mathematics as a language that develops from intuitive ideas and not as a formal theory developed from a set of axiom.
    7
  8811. It helped me a lot,sir Thanks
    7
  8812. Thank you so much. It helped me a lot!
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  8813. The whole idea of 'inborn talent' has been debunked. Among others by the 10.000 hours rule. We can all do anything, as long as we begin early enough, and put lots of hours in training ourselves, as long as we keep going to our limits! Ramanujan, although he was a genius, did not understand the game of mathematics. He thought it was about the results. He did not realize, that real mathematicians are not primarily focused on the results, but on the methods needed to reach those results. The theorems of mathematics are not the important things in mathematics, but the proofs are. They show why the theorems are valid. They often contain a completely counterintuitive method which, nevertheless, is the centerpiece of the proof. Just look at Euclid's theorem that there are an infinite number of primes. Would you come up with the idea to multiply all prime numbers up to the largest, and then just add 1 to this, to produce a contradiction? I have seen a fragment of a movie about Ramanujan. He sat in class. The teacher asked a question, and Ramanujan walked to the blackboard and just wrote the answer. No explanation whatsoever. The professor was rightfully upset about this! This is not mathematics! This is mathemagicianism! I learned this when I switched schools. A teacher asked me a question, and asked me to go in from of the class to give it. I did what Ramanujan did. I gave the answer, and the teacher said: 'you don't understand anything! SIT DOWN! I was so offended! This teacher had as a method that every time he saw a bad student, he asked him again and again. He taught by embarrassing his students. He made them study, motivated by making them avoid this embarrassment. So I knew that he would ask me again. And, indeed, the next time I had a math class, he asked me again. And then I started to prove every point! I filled the blackboard with every detail! At some point I stopped and asked him: 'do I also have to prove that the opposite anges of two crossing lines are equal?'. In almost panic he said: 'nóóó, please stop!' He never asked me to go to the front of the class again! If you want to be better than Ramanujan, I suggest, learn theorems and proofs from memory! And, to learn them, do it in three steps. 1: You just look at the theorem, to see if you understand what it says, and scan the proof. After having done that, 2: You go again through the theorem and the proof, and focus on the nitty-gritty details, and you test whether every statement in the proof has been proved either in the proof itself, or by previous theorems, which, of course, you must understand, too. Including their proofs! While doing this step, write down, copy the theorem and every step of proof on a piece of paper, and write down every step of the proof by hand! Do not just read it! Why? Because, if you write the theorem and the proof down, it helps you to not overlook anything. Habit makes us blind about our own ignorance. If we see something that appears similar to what we have seen before, we often overlook it. By writing it down, we might discover that it is something new. And then, after you have seen that you have understood every step, put the book or notes away, and then 3: take a blank piece of paper, and write down the theorem and the proof. I guarantee you, that even if you thought you understood everything, this last step is the real test! You will find that you have forgotten a step, or thought something to be trivial while it wasn't. I have done this so ofte, that whenever I see a math theorem and its proof, I feel my fingers 'tingling', ready to write! Just like I feel my fingers itching, if I see somebody play the keyboard. (I am also a musician.) If you have studied many theorems and their proofs, and you can reproduce them, you have acquired a lot of tools with which you can solve new problems. If you don't study the proofs, every time you have a new problem, you have nothing in your tool kit to attack them. Maybe impressive what Ramanujan did. But he has not helped mathematics much. In my eyes, he was just after showing (off) how clever he was. He was more of a mathematical sportsman. Great achievements in sports do not produce anything that helps humanity. Being able to produce many correct theorems, without showing why they are correct, is only a game showing how good you are, but does not help mathematics progress. I am focused on the most simple questions of mathematics. Like: what does it mean to say that a set is infinite, if we are not able to imagine anything infinite? Is this genuine understanding? What was exactly the struggle between Hilbert and Brouwer? Do they, maybe, show that there are more ways to understand than just imagination? What is the difference between analytic and synthetic mathematics? And now, after many years, I think I can answer these kinds of questions, and I am writing about my solutions to these kinds of problems, especially because they also have ramifications for fields other than mathematics.
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  8814. libgen and math stack exchange (and sometime math educators stack exchange) are your friends.
    7
  8815. Yes the arms come back=)))
    7
  8816. I feel like I watched a wiser version of myself
    7
  8817. I've got interested in maths lately in 9th grade by reading books about maths, playing computer games of puzzle related, and solving puzzles from the book called puzzles and curious by henry Dudeney, and now I'm interested to take specialisation in mathematical economics and Iam highly interested to research in game theory because I wanted to study games. And also it sparked my curiosity to learn anything because of playing computer games at early age like 4 or 5 years
    7
  8818. I'm starting maths at uni this year and I just noticed that we don't have a proofs class. What's a good one so I can learn it myself?
    7
  8819. wow posted an hour ago. i am searching for the same I used to be so good at, my son is on his 8th grade now and I fell like i dont know how to teach him now coz of the common core math lol.
    7
  8820. Went to the library and got myself a beginner math book and it is so interesting it even has a bit on the history of mathematics. Greetings from germany :)
    7
  8821. This is so simple yet so brilliant. Setting a reminder for tomorrow at 10.
    7
  8822. If you want to get off of coffee, do it gradually. Caffeine withdrawal is a real thing.
    7
  8823. taking linear algebra and real analysis right now and i'm loving em, although real analysis is extremely rigorous but i'm trying my best as always
    7
  8824. I'm from malta, we do most of the stuff from calc 1 and 2 and some basic differential equations and linear algebra at A level (which I guess is the last two years of highschool). We have real analysis as soon as we get into undergrad, tho they spread it out over 4 semesters: sem1: basic real sets and intro to logic, sem 2: sequences of real and complex numbers, series of real numbers basic topology of R (basically the defn of compact sets and some theorems relating them), sem 3: limits of functions, continuous functions and differentiation, sem 4: The Riemann Integral and series of functions We start abstract algebra in our seccond semester with a course on groups and vector spaces and follow this with a proof based linear algebra Couse in the 3rd senter. We do a calc 3 like course that's slightly proof based over two semesters in our seccond year and have some other introductory classes on topics like graph Theory and computational math. Then in our 3rd year we have to choose a field of math to dive deeply into, usually applied math, graph theory or mathematical analysis/set theory. Regards of what path one takes everyone does a class on metric spaces and complex analysis. (There are a few others but I forget). Finally we have a fourth year in which there are more classes on the selected stream and a thesis. Along with all of that we have to take another subject cos we have a double major or nothing system in our faculty atm (some single subjects are offered in science but math isn't one). One thing to note is you say that everyone who comes from these places are really good, but that's not taking into account the survivors bias, I'd say that every year 50% of the people in the class drop out of the math course (either opting for another major or choosing an entirely different batcholers) Hope this helps! I find your videos very interesting!
    7
  8825. I went to UCF in the 1980s and took several of Dr. Andrew's courses. He was fantastic! One of the best professors that I had ever met in my studies!
    7
  8826. You are amazing! :>
    7
  8827. Gonna take cal 3 in the fall, this channel is a hidden gem
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  8828. But majority of people follow US books for Math,Phy and chem,simply because they write in sympathetic way for beginners Majority follow US book then they follow some harder ,drier Russian book and begin to criticize American author for beign too Easy.I think that is the fact.....Can anyone follow Mir publisher Irodov without first attempting Resnick and halliday in Physics. So MY Respect to Author who made me understand the subject.
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  8829. A biggie is to have at least one friend in your life who is also a math enthusiast -- preferably more versed than you -- with whom you can sit with over coffee and have free-flowing chats about math, covering anything you are stuck on, or learned about and find really interesting, or whatever. This really helps to make math fun and exciting, and if it's fun and exciting, you naturally get deeper into it.
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  8830. Keep your confidence up. Learn from your mistakes and keep on going.
    7
  8831. That’s awesome mate. Keep studying. My mom always says don’t worry too much about the exam (that will keep you from doing well due to stress). Worry about learning as much as you can. Then your grades will get better automatically. Take care and good luck.
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  8832. Why do we have calculus 1,2,3 I don't get it PLZZ tell me
    7
  8833. One of the mathematical books that I came across while doing my graduation is mathematical handbook - elementary mathematics and handbook of mathematical handbook - higher mathematics by Vygodsky. Please have a look at it if you get a chance. It's a great book
    7
  8834. Hey Prof. I've been following your channel ever since I started studying Math at 26y/o, I would love to watch videos where you go through questions you find interesting like you did in the past.
    7
  8835. The smarter the lonelier, that's fine with me.
    7
  8836. The video is helpful for me, thank you❤
    7
  8837. How do you think it's possible has a student to evaluate how strong is his application to grad school?
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  8838. I must say that my High School teacher is the same. He teaches us the typical radicals exercises and I told him one day: what is this "sqrt((-2)^2)"? You just cross the sqrt and the square, don't you? (of course I perfectly knew the answer, I was proving him) He told me that yes, you just do that and the result is -2. I was shocked. In addition, he told me he had no clue about what a Riemann sum is and he is fck*ng teaching integrals to preuniversity students. In addition, I have to put up with him making us do lots of polinomio factorising Baskara formula exersices just doing an stupid "plug and chug" of the formula. I am in the previous year to the previous year to the last year of University and I for sure (I am not saying that I am good, I am saying that he is not good) know more math than him. He even thought that "two negative numbers multiplied are a positive" was axiomatic. The worst thing is that he has an engineering and math degree. For God's sake, these people must not be able to teach anyone. What do you think?
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  8839. Imagine studying all your life to be a wizard, only to die instantly in one hit by a dnd goblin.
    7
  8840. This is not a difficult problem but one I have not practiced in a long time. I recognized what to do but I could not remember how to do it.
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  8841. I can’t thank you enough. You are an amazing teacher. Great explanations. I’ve seen a lot of your videos and understand the content always (almost) right away. Thank you!
    7
  8842. Books written also for ongoing self-study by professionals are the way to go.
    7
  8843. One of annoying things about uni. Not enough depth into each subject
    7
  8844. Hello The Math Sorcerer! I was hoping to ask if you could make a video about how to learn math's for people with learning disabilities? Or just a way to learn math's dumbed down?
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  8845. My experiences were almost identical to yours. I always made an effort to do all the homework. I would occasionally skip a class but I would never skip a math class. Even in a non-proof based class I would always strive to try and understand the proofs of any theorems I would encounter. I was also the type person who would rarely ask questions although with a rigorous study routine I was usually able to get a firm grasp on whatever it was I was uncertain of. Asking questions would have been helpful though. With regards to the Calculus I probably found first semester Calculus 1 to be the hardest of the Calculus courses. Second semester Calc 2 and Multi-variable Calc 3 came easy to me.
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  8846. What about Proofs by Jay Cummings? Is it good?
    7
  8847. Very educational video, I'm an arabian so I don't understand all the prime stuff and "product" but I think the numbers did the nessecarry work, thank you sir
    7
  8848. I really liked this video. I look forward to seeing you do more proofs.
    7
  8849. I had to leave high school for various reasons. I couldn't wait to get my GED and get started on college. Don't give up and keep your eyes on the goal!
    7
  8850. this is very true, this is what keeps us back. but is difficult to understand and live as an experience.
    7
  8851. your book collection is beautiful
    7
  8852. Brother how come you don't blink?
    7
  8853. I got the definitions mixed up so I was like, "im sure this function is odd, yet the test says even" ah well. Nice video
    7
  8854. Thank you professor, I needed this…
    7
  8855. I love your videos, keep giving us tips🙏🙏🙏
    7
  8856. man you look tense
    7
  8857. Epic hair styles (including beards) contribute to perceived genius.
    7
  8858. Interesting. I learn elementary logic from Schaum's Logic by Nolt.
    7
  8859. I only ever made it to precalc. This explanation was very approachable. It almost makes me think I might be able to pick up some of this, even in middle-age.
    7
  8860. Great recommendation. I made mistake of starting with Rudin Functional Analysis...it all went over my head.
    7
  8861. I'm starting late like um 35 lol want a degree in mathematics
    7
  8862. Thnx, teaching myself from a book which needed clarification. Keep the magic coming.
    7
  8863. Thank you for your kind words! I really needed them.
    7
  8864. DUDE AFTER USING SLADER AND WATCHING THIS VIDEO I FANNYLLYLLY UNDERSTOOD IT
    7
  8865. German Stem books usually canot compete with their english counterparts. Take math books or physics books for university level from german authors and you will See that they are far from ideal for selfstudy. The Moment i used english books for self Study AT University my Grades improoved dramatically. And I am saying that as a german geophysicist. So go with the good english textbooks and you will be fine.
    7
  8866. Phenomenological.
    7
  8867. this video saved me from my stupidity
    7
  8868. Just got my quarterly report card - not so good. I've been studying hard for the past few months but it seems like it hasn't worked out. Thanks for the vid, it showed up at the right time.
    7
  8869. thank you good sir
    7
  8870. If I ever become rich, I will send you a cordial invitation to lunch.
    7
  8871. You are really teaching me more than any math teacher i've ever had and i'm a freshman in college! so thank you so much for your videos.
    7
  8872. I was having a hard time with DEs, but after this very class, it all seemed much more clear A M A Z I N G
    7
  8873. Hey MathSorcerer, Hope ur doing well, The next semester I'm going to take DF, what do you think about this book: Ordinary Differential Equations by Tenenbaum and Pollard. It's really cheap on Amazon (brand new). Thanks!
    7
  8874.  @ronni81231  Yeah, I actually learned the 1st movement of the moonlight sonata about a year ago and still proudly play it. Beethoven got me into music. I will try to then learn his 3rd movement of the sonata. Do you play the piano or some instrument?
    6
  8875.  @robertmorrison1657  No one right after the other. I have a cello I bought on amazon. It unfortunately doesn’t sound the greatest though :( I currently have covid! Lol. All I can do is sleep though. Maybe when I get better I’ll dust it off.
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  8876. Shouldn't it be the lim as capital N goes to infinity instead of low n at the end of the proof?
    6
  8877. The only thing keeping me from understanding it to the 100% is (k+1)! * (k+1), why is equal to (k+2) ?? I'm not well verse in factorial and tired of searching, if someone could explain or post an url, whatever that could help, thanks i advance.
    6
  8878. Sus
    6
  8879. Good grades in college are essential in getting a good job, bad grades= no job even though we learned alot.
    6
  8880. WE HAVE A LONG QUALITY LECTURE Thank you sir:)
    6
  8881. something physical huh? I'll remember that
    6
  8882. Love from , INDIA
    6
  8883. Just passed my final with 92% I love your videos! I accumulated 12h on the practice questions, repetition is key.
    6
  8884. I am forever in your debt, please accept my first born son.
    6
  8885. Yes. It is fine. It is a good "obsesion". I prefer calling it an activity. A task for life!
    6
  8886. Tiger King is a smart cookie, good vid, cheers.
    6
  8887. Thank you Sir. Useful video.
    6
  8888. I got this along with math and science books from Costco. I keep gifting these to my nephews/niece. In fact I have kept one for myself
    6
  8889. For me, I fear math when I feel that my performance in math reflects poorly on my intelligence. When I feel like I just can't solve a problem or do well in a particular class, it makes me feel dumb and as a consequence I fear having these experiences.
    6
  8890. "The impediment to action advances action. What stands in the way becomes the way."
    6
  8891. Thanks for the motivation. I am currently enrolled on a masters course in economics and the advanced math is killing me. I've always been average at math but I'm trying to get back to the basics and get confident with mathematics again so that I can conquer this masters course. Your videos are greatly appreciated :)
    6
  8892. The first time I did a derivation by my own I felt great. Then I realized that I was wrong but, you sea never ever I heard about it. It was great. You are great master.
    6
  8893. Since you speak Spanish it would be awesome if you collab with Pablo Lomelí.
    6
  8894. The Cal State Chico assignment at 4:27 was mimeographed. It’s like photocopying. I remember that from elementary and middle school in the early/mid-80s. Nice find! Also at 5:00 I used Salas’s Calculus; solid book.
    6
  8895. I think it's the uncertainty of obtaining your goals that make them meaningful! If you knew for sure you would achieve every goal you set, what meaning would there be to life? It's the uncertainty that makes life worth living.
    6
  8896. I read this great book in high school in nowhere Alaska whenI thought I was Mr Cool in math. I got the second highest score in the state on the little Math association high school test, even tho I skipped my Junior year. 800s of course. So off I went to Yale, just full of myself. I bragged to my Friend Richard Mann about my results on the MAA test. He asked my score then howled with laughter, telling me that my score would only have been sixth in his Long Island high school. I bragged to my two years younger classmate Cherlin about reading the Polya book. He said he knew about it and that he had spent time in the summer working with “George.” I got called up to the math Major league but I certainly couldn’t hit major league pitching. This is a really cool book.
    6
  8897. Great advice!
    6
  8898. That was a nasty looking one, but you made it so light and breezy! I could follow every step even though my trig identities are rusty!
    6
  8899. In the UK we go to university a year later than in America. Also in the British education system you specialise a lot quicker than in the American education system. For example in England by the time you are 16 you are only doing three or four subjects. This allows individual subjects to be taught in much more detail. Like in most other European countries, first year Maths students in the UK do Real Analysis, Group theory and multivariable calculus.
    6
  8900. That's so cool, I'll never forget it probably, the deeper you go into any field, the more "exceptions" you find
    6
  8901. Man, I am not even understanding how to correctly use or interpret logarithms but partly due to your amazing videos, I am not anxiously thinking "I will never get there". Thank you for your work, saving college students like myself from abandoning their hope of understanding university level mathematics.
    6
  8902. Flinders University, South Australia, uses Stewart Metric version. I have 6E with all the fully worked solutions in the two lecturer solutions manuals in Metric. I'm still amazed at how I was able to get those. My only criticism of Stewart, is the cynical money making exercise the publisher engages in. Why there needs to be an updated edition every few years, is a nonsense.
    6
  8903. You are absolutely right. Being able to do, and succeed in math is an ability to be grateful for. Thank you for this message. It makes me realize how fortunate I am to have the math abilities that, I have used to tutor students.
    6
  8904. Another Banger ❗️
    6
  8905. Oh this is beautiful and literally "phenomenal." It takes phenomena from every day and models it with Calculus. The basic Physics that appears is also delightful. I'm picking it up.
    6
  8906. You are geuninely saving my life right now! I really don't get this module (Group theory) but practically every question on my assignment you have a really well explained and presented video for. Not all heroes wear capes. You, Sir, are a legend, you deserve more subscribers, keep up the great work, stay safe my G.
    6
  8907. Do you have a paid comment section where we can ask questions?
    6
  8908. Abstract Algebra by Hungerford is my favorite book 😉🙂
    6
  8909. Thanks, been searching for this for 2 hours to do my assignment.
    6
  8910. If I fail in Math in the first year of undergrad in Math major, does that mean I am incapable of excelling in Mathematics?
    6
  8911. Learning fast in mathematics begins when you really understand the significance of it and learn how to love it. 😁
    6
  8912. wow easy to understand
    6
  8913. Thank you so much for the many views and advices. But one difficult part is about doing as many practice problems as possible. Of course, I know that solving a lot of problems is essential to learn math, but the sheer number of exercises provided by thick books like this is just too many. I work as an IT engineer, and math became my hobby (partly thanks to you), so I have no choice but to study in my spare time. So it would take me too much time to read a book like Stewart's calculus while doing "as many exercises as possible". I think I need some strategy. Any advice on this?
    6
  8914. I'm a math student in Brazil, I love your videos.
    6
  8915. Let me go grab my pencil and papers like now!
    6
  8916. Sir , you give me so much hope and motivation to re- teach myself math from scratch, so I can go to school to become a chemical engineer. I even bought some of the books you recommended for teaching yourself math from start to beginning( pre algebra , calculus , Algebra and trigonometry). I wish there were more Honest and sincere people like you who have a passion for math and want others to learn it.
    6
  8917. Love this video!!! I love how you lead your life, Math Sorcerer--a life like no other!!! Thank you for producing and posting!!! " :) :) :) :)
    6
  8918. you can demonstrate that n!>2^n for n>=4 by recurrence (prove that n!/2^n > 1 by recurrence).
    6
  8919. Math is hard, but more importantly, it is rigorous! I get called out on my occasional handwaving away of things. It turns out just saying something is trivial doesn't mean you get to skip explaining it!
    6
  8920. One thing that helps me with staying focused and disciplined is keeping a precise log of my activity. I find it very beneficial to be extremely scrutinizing with reporting everything that I do in a log. This log enables me to have a greater perspective on where my energy is being used and how I can improve the efficiency of my energy management. This will cure your ADHD if you follow it perfectly. You must log every single thing you do with great detail for it to be effective. It will also be very rewarding for your brain to log these things down as you gain more and more clarity over your energy expenditure. My log uses this format: Start time: Subject: Stop time: 2:33pm Replied to Mark 2:33pm 2:34pm Worked on music 3:25pm 3:26pm Took a poop and emailed people 3:33pm Etc. Give it a go.
    6
  8921. If I may interject and recommended playing a musical instrument between study sessions, also helps. It trains you to 1.focus 2.patience.3 confidence. 4. Practice.
    6
  8922. Indeed. It’s need a lot of hours for studying math.
    6
  8923. It's a very simple rule, but sometimes writing it down helps a lot for guidance. Thank you for the video!
    6
  8924. Many math instructors said they only understand math better when they start teaching. You become better when you teach something over and over. So, if you did well in Calculus 1, you will understand it better even if you were to teach or tutor only Pre-calculus. In other words, becoming better at 'lower level' math will help you to understand better the next level in that same type of math.
    6
  8925. Do you think research on your own is possible ? Because in my own country we only have lectureres in college and not full professor so we dont have opportunity to get research advisor in undergrad. Would you make a video on this subject ? Some resources and ways to conduct research on your own ?
    6
  8926. Happy Christmas
    6
  8927. How does it compare to Friedberg's book? I always found his textbook to be extremely readable (which we all know is a luxury when it comes to math books).
    6
  8928. I wish you were my professor. You're awesome!
    6
  8929. Some mind blowing expressions you made there.
    6
  8930. I miss the pencil and bond paper way. Btw can you make a lot of proving examples in abstract algebra. A shout out would be nice tooo. Thanks Math Sorcerer.
    6
  8931. As someone with a learning disability who is studying math it can be difficult but it is possible. I would love some tips if anyone has any
    6
  8932. A former professor of mine suggested the topology book by Dugundji. I haven't read it, but the table of contents looks straight forward. He only warned me that the problem sections contain some research problems, whose solutions would earn you the fields medal, and the author is not warning the reader about those.
    6
  8933. Great video, appreciate the content!
    6
  8934. I learned calculus at age 15 from the book Mathematician's Delight. Then I took a couple quarters of it while still in high school, tested out of two more quarters when I got to college, and was done with two years of it before the end of my first year in college. I thought it was easy. Now partial differential equations: ugh. That was hard. Admittedly, by that point I was losing interest in math and was drifting over to philosophy.
    6
  8935. This video came at a real coincidental time. I'm currently a ChemE major and over the past week I've really disliked my computer courses. I've thought about going chem or math because of how much I'm not enjoying the computer courses. However, I don't have to take that many so this video really helped me put that into perspective. Even though I'm not enjoying a couple classes doesn't mean I should change. Thanks, almighty Math Sorcerer!
    6
  8936. you da goat man! preciate yo hard work!
    6
  8937. Thank you so much, my professor shows us how to do integral of sin^2(x) and then expects us to be able to figure the hard trig integrals like this on our own.
    6
  8938. life saver honestly
    6
  8939. An alternative proof: Suppose P(A) is a subset of P(B). Now, A is an element of P(A) by definition of power set. By assumption then, A is an element of P(B). It follows again by definition of power set, A is a subset of B. We're done!
    6
  8940. Based on the video title I thought it was going to be Philosophiæ Naturalis Principia Mathematica haha.
    6
  8941.  @pinklady7184  because you can be an better sudoku or crossword solver if you use mathematical thinking properly for solving those puzzles correctly. Mathematical thinking requires using some maths topics like permutations and combinations
    6
  8942. thankyouuu teacher
    6
  8943. You are a life saver!
    6
  8944. Thank you for all what you are doing. Its always a pleasure to listen to you . 🙏
    6
  8945. Hi, enjoy your videos, can you give us your view on studying from actual paper physical books vs digital format? Thanks
    6
  8946. God I love intuition
    6
  8947. Thank you
    6
  8948. Thanks for all you do! I really appreciate your content. On an unrelated note, I think I’ve piped a question to you before, but it may have been lost in transit. :-) If it’s okay, I’ll just shorten and paraphrase the question here: how far do you think one could reasonably go on the path of an autodidact? E.g. do you believe doing meaningful math research is possible without college, or maybe with some high-level guidance in lieu of college?
    6
  8949. 2:00 You sure? I remember there was a simple problem that Wolfram Alpha gave the wrong answer to. I don’t know which one is it right now, I’ll check tomorrow.
    6
  8950. Oh no, you finally got to the worst book in the world. This was the textbook for Math 451 at UofMichigan, winter 1966. I have commented about my experience on one of your previous videos. The course was Advanced Calculus taught by Prof. George Piranian. I can still recite from memory the paragraph about “no pictures in this book”. I consider that a non-teaching attitude which complemented the haughty Piranian perfectly. I got a decent grade but decided to repeat the course, this time taught by Prof. Kessler. He was a great teacher who helped me understand that Goldberg and Piranian were the exceptions, not the norm. I went on to earn an M.S. in math followed by a 40 year career in the software industry. In retirement, I tutor math students, for free, in part to insure that my students are not demoralized by bad math teachers.
    6
  8951. I have always been fascinated by how many books you have... I mean you literally made them reach the roof when stacked on top of each other
    6
  8952. I want to get a phd, and teach at university. That’s my goal. I’m a first year master student right now. The courses are extremely hard, but I keep doing it, do my best, and will work even harder.
    6
  8953. Who was the smartest person you ever met and what made you realize they were the smartest?
    6
  8954. 11k new subscribers!!
    6
  8955. That's an interesting find!
    6
  8956. This brings back memories. I learned calculus from the 1st edition of this book. A very well written book then and seems to have evolved well. Thanks for the review.
    6
  8957. One great book from spivak is "calculus on manifolds". I ve used it on my "calculus 3" classes
    6
  8958. Thank you isn't enough to say for the content you're providing 🥺🥺 You're a life saver ❤
    6
  8959. Thank you, Sorcerer. If you had ever been my teacher in life I would not have dreaded math and done so well in it.
    6
  8960. We use spherical trigonometry in orbital mechanics. I used it when designing a satellite constellation for my senior project!
    6
  8961. Prank video : Linear algebra gone wrong
    6
  8962. I also found infinite series to be incredibly cool and my favorite part of calculus. It is just feels so incredibly different from most of what we were doing up to that point and it felt like it was touching on a lot of deeper math concepts. I also thought it was incredible how we could determine convergence on an infinitely repeated operation.
    6
  8963. I think a renaming to math angel is appropriate
    6
  8964. bless you this explanation is exactly what i needed keep up the awesome work!
    6
  8965. Omg, thank you!
    6
  8966. i smelt this book from my hindi math teacher fast loan smell of incese then need one again
    6
  8967. Well I am in my first semester and students studying math longer have said that math itself changes you as a person an they are right it changes you in terms that you are often exposed to hard and rigorous proofs which really challenges you no matter how good you thought you were in Highschool. In my case it showed me that I like to sit on problems which I don't get on first sight and the moment it all clicks is indescribable
    6
  8968. As an introvert the third piece of advice is the hardest to follow, need more instructions.
    6
  8969. Now I got it, not from my professor! Thank you very much!
    6
  8970. Thank you so much. I’m being asked these questions while studying chapter 6 and it makes NO sense
    6
  8971.  @TheMathSorcerer  wait ur like a math major just calculate the time 😎
    6
  8972. Also thank you so much for your proofs playlist! i'm staring proof based courses for the first time and it's a really helpful resource
    6
  8973. Im currently in the same spot in my linear algebra and proofs class. I tend to work myself out and then I go into a phase of hating math and then back to pulling an all nighter doing my math problems. It is really hard to set a control, I freak out before exams as I have not been getting all As in my recent exams.
    6
  8974. Glad youtube recommended this video to me.
    6
  8975. Fact: it was just the definition of Limit
    6
  8976. ​ @1Maklak  It's called straight-up copying & pasting from Wikipedia, lol.
    6
  8977. I think this made me realize how truly lucky I am to have my own damn place to just *exist*.
    6
  8978. Short, sweet, and to the point love this video and how you ended it lol
    6
  8979. I am a control engineer. Chapter zero covers years of materials that I studied. Linear space, Metric space, Banach space, etc. Thanks for introducing this great book!
    6
  8980. I'm really passionate about Physics. I used to practice a lot when I was in 9th standard.I always used to prepare my other subjects well so that I could devote the remaining time to Physics and learn new concepts.These days I'm not that good but still I'm trying.
    6
  8981. Yeah!
    6
  8982.  @TheMathSorcerer I’m taking my first step towards my goal. I’m taking College Algebra this next semester. It’s been a couple of decades since I’ve taken any math classes, but I’m up for the challenge and I look forward to this.
    6
  8983. I have listened to your video, regarding to what you have said, I will tell you my method to learn mathematics as I believe better, the method is to divide the math subject into many stages, and master the gradually, first take books like for dummies, then gradually study harder books, and eventually read the big thick textbook. By the way I want to ask you about yout opinion on a book called "Basic training in mathematics" by Ramamurti Shankar, in this book he tried to introduce briefly all the mathematics needed for undergrads to learn physics in just 450 pages. What do you think 🤔
    6
  8984. I am 18 and I think this videos do apply on me too. I am an undergraduate student and I feel so frustrating about my math. There are many incredible people that studying differential topology in my age in my college. I always wonder whether I am too late to study math. Yet I guess it is all about how do you feel about math. When I immerse into math, I just enjoy it. No matter I am 18 or 100, it must be the same—mathematics is the best and the most elegant language ever!
    6
  8985. Looks like mold to me, but I am no biologist
    6
  8986. Thanks for the video
    6
  8987. Thanks a lot, I had been reading my Complex Variable book for ages without understanding where we got 2Re(zw)
    6
  8988. Day trading with a firm with large capital and support, day trading at home is like saying I want to show up to a professional football game suit up and play Invest long term if you are young TIME is your best friend invest with your grand kids in mind and it will shock you how much money you have accumulated when you are 50 want to take risk great research trends and invest in those up and coming technology's or commodity trends , bond trends but again long long term outlooks
    6
  8989. Came for learning and developing confidence in Maths, stayed for collecting nice smelling math books :D Thank you for creating this channel. All the best!
    6
  8990. Students shows their futuristic 2pc , gaming cup ,studying with 100 of colour pen and saying it as a productive desk...... This is the real productivity desk just with a book , some novels, selfhelp , a clock and water of course.....
    6
  8991. I sucked at algebra until I started teaching it nonstop 8 periods a day. Now I suck slightly less at it.
    6
  8992. Also whats the difference between discrete math and real analysis and which one is harder?
    6
  8993. It would be amazing if you review Lang's Complex Analysis book!
    6
  8994. I love you so much. Thank you!
    6
  8995. Write a book bro
    6
  8996. Killing it! Applied Analysis Applied Regression Mathematical Statistics
    6
  8997. Sir. Can u do more books review?
    6
  8998. Thx bro 🙏🙌💙💪💯👌
    6
  8999. The best part is you love doing it.
    6
  9000. I would like to hear your assessment of common core math.
    6
  9001. suffering with online classes is, almost, inevitable. Lol
    6
  9002. You hit the nail on the head with this one. The interesting thing is that this can be applied to other parts of life such as running a business or carrying out projects in your career. The ability to not overstress and FOCUS on one thing is something I wish everyone pays attention to master.
    6
  9003. I am learning this subject! You are so funny!!! From sniffing the markers, the double points, Diet Coke references, three tuna fish sandwiches, and your younger self stories. Thank you so much for making Vector-Valued Functions fun. Hitting the SUBSCRIBE button. :)
    6
  9004. Sir, can u please make a video to prove that, "Z is a proper subset of Q"
    6
  9005. What a stupid question?? Why would you make a video on such a simple question. Why dont u try your hands on jee adv problems
    6
  9006. I have an integral calculus final exam in a week, I was looking for something like this. Thank you 🫰
    6
  9007. Very true. Although in the real adult world most people are not afraid of failing as much as they are of that failure making them go broke. So they settle. Settle for what is easy.
    6
  9008. I'm so amazed at Ramanujan he's different we're all different so don't compare your self to others. Just be yourself.
    6
  9009. Interesting topics. But you need bigger white board to talk to me and others.
    6
  9010. Sir what is your email id? it's not on the about page as u have mentioned in earlier videos it is urgent I need your help .
    6
  9011. Again, thanks for another informative video. I m reading a book called Shape of Space by Jeffrey R. Weeks. It reads like a textbook but its not proof based it is all about intuition of Topology and how it relates to cosmology. It even has questions in it with solutions. But I'm curious what are the prerequisite for Topology?
    6
  9012. Great! I hope you will create more videos about complex numbers, especially about complex planes. Thank you :)
    6
  9013. Thank you, keeping going bro. It is helpful.
    6
  9014. Bro, my god! I decided to try and do this proof on my own for practice, and I did it all by myself! This is the first proof I’ve ever done in my life, and man I’m so pumped. This isn’t the first time I’ve gotten hype over a math problem, but this feels extra special. I’m starting to get that transition into proof based math soon. Of course, this isn’t a very advanced proof at all, but it’s the first one I’ve ever done in my life. This is the starting point for me. Thanks, man!
    6
  9015. Nice overview of some classic abstract algebra books. Of the older books, I also like Garrett Birkhoff's Algebra book. His book with Saunders MacLane is more readable, but both are somewhat dated and without the applications in physics and other fields, and most important, without the great illustrations seen in contemporary abstract algebra books. Gallian's book seems well written and well illustrated. I'd advise getting a rather current edition as there will be more illustrations and examples of practical applications.
    6
  9016. 0:26 You need a negative sign since you have an odd number of flips.
    6
  9017. I used to be an engineering major. NEVER NEVER NEVER take more than 15 hours if you have any self preservation
    6
  9018. I really like combinatorics :)
    6
  9019. dude, i was here when u had 4000 subscribers. wow, congrats,
    6
  9020. How come for problems like c, we don’t plug the 2 into g first, and then plug that all into f
    6
  9021. The evolution of whiteboard pen-holding xD
    6
  9022. Much love from Nepal 🇳🇵
    6
  9023. I'm extremely slow doing math in ALL my math classes. Great, advice. Thank you!
    6
  9024. Just purchased my copy, and I want to say thank you, Math Sorcerer! 😊
    6
  9025. This video should have been 2 weeks long...
    6
  9026. HELLOOOO SIR!! SORRY for not commenting for this long, my internet had gone for a six due to an extremely severe cyclone in my region. (An insane Grade 5 hurricane!!!!) AND YES Math is also hard for someone like Rat Puppet And yes, whenever I'm completely exhausted by a problem, I go and relax until I'm fresh, and then I come back to that problem and solve it! EDIT: Wow, I watched your previous video after this, and you were saying the exact same thing!! Psychic!
    6
  9027. We appreciate your book recommendations. May God bless you.
    6
  9028. I heard these years ago from him on a podcast, so cool seeing you speak about that and how much you appreciate it! Powerful simple life advice, and not all "grind" but also how to cultivate good thought habits and help others.
    6
  9029. Love you dude 💚
    6
  9030. Thanks for this video man, I'm an econ major however I've always liked the idea to study pure math...I want to learn real analysis since its not part of my curricula, my goal is to finish Spivak Calculus and understand it. Wish me luck. Cheers from Bolivia
    6
  9031. Your motivational and advice videos used to be the most helpful to me, but now I'm finding your problem-solving videos to be even more fun, helpful and motivating! Thank you once again for everything! ❤️
    6
  9032. One day I am gonna come to your house and hug you for bringing me closer to loving math and I am going to be successful in my life I promise you remember me despite all my downfall and bad moments Thnks 🧑‍🎓❤️
    6
  9033. In the Everyday Calculus book Hernandez talks about frustums, which is neglected in pretty much every single calculus text. If you look closely, all restaurant cups are frustums and not cylinders. This is important when talking about rates of change and how they can be applied to the real world. McDonald's, BK, Wendys, Tim Hortons, Starbucks all use frustums for their beverage containers. *Just be aware there are mistakes in the hardcover that are corrected in the pdf version. (The pdf version is available through hoopla - library card is required)
    6
  9034. Isn’t this illegal?😂
    6
  9035. When I realised How stupid and subjective people are around me (not arrogant - just an observation) I started to search for something much beyond what people are involved in - Hence I realised math is seriously objective and man its the only truth I know its my church.
    6
  9036. Cool book! A bit diapapointing, given that the problems aren't that hard. The Art of Problem Solving Intermediate Algebra and The Art of Problem Solving Basics remain my fav books for fun algebra.
    6
  9037. What book for geometry?
    6
  9038. Through some symbol moving, i found a general solution for function f(x) and point (x0,y0). you solve for x1 in the eq f(x1)+f'(x1)(x0-x1)=y0 and your line is y=mb+b where m=f'(x1) and b=f(x1)-f'(x1)x1 Derivation: given f(x) and (x0,y0), we look for eq y=mx+b st y0=mx0+b and there exists x1 st f(x1)=mx1+b => b=y0-mx0 =>f(x1)=mx1+y0-mx0 notice that for the line to be tangent, m=f'(x1) =>f(x1)=f'(x1)x1+y0-f'(x1)x0 =>f(x1)+f'(x1)(x0-x1)=y0 plugging back in to y0=mx0+b, we get b=f(x1)-f'(x1)x1 Using your problem, we solve for x in x^2+2x(1-x)=-1=>-x^2+2x+1=0 which has roots 1+- sqrt(2) solving for b as and plugging into y=mx+b gives your two solutions heres a desmos link with a couple examples:https://www.desmos.com/calculator/txcm00l92g
    6
  9039. U are legend thnx bro.
    6
  9040. ADVICE FOR HIM! Please, I need to take advice from him!!! Young man, you can not see it now because you do not have the benefit of hindsight, but you are light years ahead of your classmates. To solidify and affirm your self-studies, get together with a " small " group of people ( not necessarily your friends) and join them in a study group. Cover the mathematics initial, that is pay slightly more attention to that before pushing the physics and chemistry courses. Laboratory studies are tough enough, but without the labs it's slightly more difficult. Also, scout out a sympathetic physics and chemistry professor. Explain your goals and objectives. Ask him/her if they can serve as a mentor in your quest. I wish that I had your initiative 40 years ago. Good luck.
    6
  9041. I like books with a healthy length. These are great for review especially considering the density of the equations!
    6
  9042. You can substitute math with all. You also forgot the part where they do the same thing in their office hours...
    6
  9043. "what's purple and commutes?" An abelian grape.
    6
  9044. Sir u are the best teacher and role model, I am watching U from South Africa.
    6
  9045. Big help and made this feel easy! Thanks!
    6
  9046.  @TheMathSorcerer  thanks, I can't wait to watch it!
    6
  9047. I am really loving your stuff. I have never been good or great at math. I am good at other stuff though! Still, it is great to come and watch your stuff and scratch my head and think to myself, “I have no idea what is going on here.” Still, I am trying to stretch my mind. It is helpful stuff. It makes me a more well rounded person. Thank you!
    6
  9048. I would like to add something to your list. Learn to enjoy the process and appreciate every milestone you reach. If your not enjoying the process then you’re studying the wrong subject. Passion is the impetus of self discipline, so study a subject your passionate about!
    6
  9049. Yeah! Advanced Mathematics!
    6
  9050. Thank you for your help.
    6
  9051. I am taking Cal 3 this semester. I enjoyed the disk and washer methods. Cal 2 seemed to be easier than Cal 1 in my opinion.
    6
  9052. Remember, he is a sorcerer.
    6
  9053. if you went totally bald, would you wear a wig.. with spirals based on The Fibronacci number ?
    6
  9054. Yeah, my favorite math channel.
    6
  9055. So I'm sharing what math major students would take in China. Kind of Soviet style I think. 1. How far we go in high school? (We choose between Science and literature, but I heard that it's being changed. I don't know exactly.) For Science student: Pre-Calculus stuff. Derivative, inequality, triangle functions, and so on. But Pre-Linear algebra is not a must. 2. In university, while other science/engineer students are taking their 'Advanced Math' (in fact Calculus), and then linear algebra, we math students spend 400~450 hours on the foundations. Analysis (1 - Differentiation, 2 - Integration, series, 3 - multivariable calculus). Advanced algebra (in lieu of linear algebra: 1 - Determinant, matrix calculation; 2 - eigenvector, orthonormal matrix...). Analytic geometry. 3. After that, math major students may study some modern analysis like ODE, real analysis (Lebesgue measure, Fubini's and something like that), functional analysis (big three for example), abstract algebra ( group theory)... Some of them mentioned above are on master's level. But if the school is not strong at math (for example some engineering-based school), they may not able to teach some much more advanced courses (Poor choice to major math in engineer school.). But in some top schools, things can be very cool. For example, when teaching linear algebra, the professor may tell you that this problem comes from some algebraic geometry's lemma, and I'll give you a simple introduction. 4. What if I want to get a master's degree (math) in China? Well, let's talk about the entrance exam. For most schools, students have to take some competitive exam on mathematical analysis, advanced algebra, and sometimes ODE, real analysis and functional analysis.
    6
  9056. Just wondering, how would you compare this book to "Book of Proof" by Hammack (if you've read it of course)? I have the Book of Proof, and I enjoy it, but I also like reading different material (but if it's just basically the same content then there's other books I could put my money towards lol)
    6
  9057. Hare Krishna Hare Rama. Thanks for your video
    6
  9058. God, I did not see that identity...
    6
  9059. He looks like Sir Isaac Newton
    6
  9060. Thank you so so so much for making these types of videos! There’s not really any math youtubers that give good advice for higher level math courses
    6
  9061. Sir, you never answer my questions at all It is so important to all of us and understand the subject properly and simple thing is people must start with basics
    6
  9062. Depends on what your goals are. For example, I am wanting to study etale cohomology, which requires fluent abstract algebra. This is reinforcing my having to study various abstract algebra books so that way if I come across something in any of those books or it's use in another book, it'll be rather trivial. Eventually I plan on doing the same with books on algebraic geometry. But etale cohomology or also probably work better based on solid algebraic geometry that is using a touch of complex analysis, to familiarize the algebraic geometry, thereby leading to a little extra breadth so I have a couple complex analysis books in my future planning as well. Like I said, it just depends on what your goals are.
    6
  9063. Hello! I love this kind of video. Can you (or anyone here on your channel) tell me which books were used in the Soviet Union for Calculus, Analytic Geometry, Linear Algebra, Differential Equations, Analysis, Algebra, Physics, etc? (I apologize for my English, hope I have been as polite as possible.)
    6
  9064. Do you trade yourself?
    6
  9065. How much algebra do I need to know to understand her theorem?
    6
  9066. it really did, thx for the clarification
    6
  9067. Maybe someone who was trying to understand the subject got angry and decided to poke the book using a compass.😅
    6
  9068. Especially when you don't have the identity sheets. Who needs those? You can derive them all from like what 4 equations? Hahahaha
    6
  9069. I really needed that, thanks for the advice
    6
  9070. First
    6
  9071. There’s nothing wrong with spending 12 hours a day working thru math issues. You have another 4 hours a day to do other stuff, like eating etc. The most important thing is to get a good night’s sleep every day, say 8 hours or so, to recharge. Otherwise you could burn out.
    6
  9072. Really like your book reviews, best of luck with your channel!
    6
  9073. I am just happy to be this early!
    6
  9074. you're literally the best teacher i've ever seen that explains math well i wish i had you as a teacher your students are so lucky!
    6
  9075.  @TheMathSorcerer  💗💚
    6
  9076. It's first time I hearing a teacher saying read in ur own language. Our teachers always push us for English
    6
  9077. I'm studying basic math at 37 !
    6
  9078. Please make videos on proofs
    6
  9079.  @TheMathSorcerer  thank you a lot!!
    6
  9080. I love your countertop.
    6
  9081. 9:45 absolutely crazy looking back now!
    6
  9082. thanks man
    6
  9083. Same here. My brain sort of freezes when i look at numbers. Would be really nice to learn how to work out percentages.
    6
  9084. wow i just rented the algebra book from the university library an hour ago
    6
  9085. I think that this method can work for any class, physics, static’s etc
    6
  9086. Engineers also need social and business skills.
    6
  9087. How do I get the answer to 2 decimal places please?
    6
  9088. Preciate it big dog
    6
  9089. Two of these books are sitting on a dusty old bookshelf in my High Schools computer science room, I had no idea they were of such high acclaim. I'll definitely be grabbing them ASAP
    6
  9090. Well the other book with a giant blue C is fantastic ("The C Programming Language") so logically this one has to be ace too.
    6
  9091. Lit
    6
  9092. If you were born before newton, I think you woulda discovered calculus
    6
  9093. Your videos push me and inspire me more and more ty very much, From tunisia
    6
  9094. I literally smell that real analysis book everytime when I pick it up Thanks🤗🤗
    6
  9095. Here in the UK (I dont know about anywhere else) We have a course called ‘mathematicians and computer science’, you get a masters in mathematics or a masters in computer science depending on which university (the course is about half and half) but I really don’t know if I should go mathematics, computer science or the joint course. Both sound ideal but it’s the fact that it is a 50% split that I don’t like. This is a tough choice to make!
    6
  9096. Hey math sorcerer. Can you please review Calculus on Manifolds by Spivak?
    6
  9097. It makes me remember of my chinese friend, he was very young like 19-21 years old and he was one of the best students of the faculty (Chemistry). He had A+ everywhere. I don't know what kind of education he got in China but I notice he had a very good memory and he memorise things very easy. He was so good and he went directly from the bachelor degree to the PhD. Now he is doing his phD in organic materials (polymers) and he is possible the smartest guy I have ever seen in my life
    6
  9098. First comment :D
    6
  9099. I really thank you and I am totally with you I am a medical student in Egypt and if you choose medicine you don't need math a lot in Egypt I wanted to study calculus (just for myself not required in my college) so I begin with videos I understand what they say but I forgot a lot even with practice also I found myself lost in the middle of ocean so I begin with stuyding what i have forgot in my high school algebra it took me so long to find the good source the only thing that worked for me is picking a calculus book and start studying even I don't know all the pre calculus required when I stuck in the middle I google it or find a video in youtube but really sticking with book and answering the problem is the best way
    6
  9100. Here in Ethiopia this book (famously called Ellis) was (may be still, is) standard calculus textbook. I was amazed when I realize it wasn't so elsewhere.
    6
  9101. Great, I am watching all your playlist of maths books.
    6
  9102. I wish i found you sooner. 10/10 video, gonna be using this method on my midterm for sure
    6
  9103. If you know of it, could you compare this book to Stein and Shakarchi's Functional Analysis? Also, a review of all four Princeton Lectures in Analysis series books would be appreciated.
    6
  9104. literally, I thank you from the deepest point ever discovered in my heart for your existence.
    6
  9105. thanks sir for the solution I was stuck on this question from last 3-4 hours. great help.from india.
    6
  9106. This book was also released in physical form again earlier this year, but with JavaScript instead of Scheme. I still really like Scheme (and lisp in general) for the kind of things the book shows, but at least there are alternatives now. A lot (moat/all?) of the early computer scientists were mathematicians/logicians, and they made a lot of awesome stuff. The creator of Lisp (John McCarthy, also known for naming the field of Artificial Intelligence among other things) were also a mathematician. He also has some really nice talks available on youtube. Edit: Also, Guy Steele (also mathematician turned computer scientist afaik, co-creator of Scheme with Sussman as well as working on numerous other programming languages) has loads of great talks from various conventions available on youtube. In particular I would recommend his "Growing a language" talk.
    6
  9107. Don't let this distract you from the fact that Larry's wife made the best blueberry pie.
    6
  9108. Now compare with another student at a different university which pulls less from homework when designing the test questions. You both get the same grade and go on with your lives... now in the eyes of society you are equivalent with respect to passing that particular course with that particular grade... But one must imagine Sisyphus happy right?
    6
  9109. The dark truth of becoming an engineer here in Brazil is that you will either end up in the financial sector or be driving for Uber.
    6
  9110. This guy needs to enter some staring competitions
    6
  9111. Irrelevant to this video, but you are what the society needs for all other aspects of life
    6
  9112. I tried reading this. It covers topics very quickly. Can you review Elementary Topology by Michael Germignani?
    6
  9113. Omg you’re blowing up. Your sub count has almost doubled in less than a month. Much love to you, man.
    6
  9114. It reminds me on how r/learnmath describe the subreddit itself: "The only stupid question is the one you don't ask."
    6
  9115. I would 100% agree. One needs to know the trigonometric functions, "cold". They will reappear everywhere in higher level math, like a bogyman, if you are not well prepared.
    6
  9116. wow i'm actually understanding so much!! love the positive energy as well! better than the prerecorded video my university is providing!
    6
  9117. LOOOL This problem was in my exam
    6
  9118. can this book be used by a person who knows nothing about math? (I only have basic math)
    6
  9119. Can you will review the books Curso de análise, in two volumes, from Elon Lages Lima??
    6
  9120. im more passionate for math, but i know computer science is smarter choice. idk anymore
    6
  9121. I don't know how YouTube didn't recommend this channel for me years ago!! Wonderful way approaching math and related stuff. My question is what is the right way to learn writing proofs? Where to find such a place where I can learn proving skills?
    6
  9122. If youre imagining solving problems right before you fall asleep. You're on the right track.
    6
  9123. Also, if you're having trouble with a subject, try another book or watch some videos about it. Often a different explanation of the same topic will seem much clearer to you.
    6
  9124. You really are a sorcerer
    6
  9125. I bought a few from Dover, they tend to be the bottom end in price range but you tend to get a lot of content for the money (At least here in Northern England) The Oxford masters series tend to be good quality and good value for money too. I hope that a lot more progress is made in areas like cold Rydberg atoms and some good books start coming out on the subject
    6
  9126. woah! this was the good one🥲thank you:,)
    6
  9127. I have a stupid question 🙊 why did you make the x a negative when you threw it under in the denominator?
    6
  9128. This makes me feel better. I always felt that today we have an unfair advantage with YouTube, internet, etc. and the "old school guys" were the rock stars. But I realized that even with all these resources available now, you CANNOT do well, especially on a timed test unless you know it. e.g. A person who knows his times tables by heart will always be faster than someone holding a calculator searching for which buttons to push. And even though higher Math isn't about memorizing, it's that inductive reasoning which still holds true when skipping steps & thinking ahead (as opposed to waiting for Google to give you 10 results that don't match your search for a partial derivative or the line integral of something lol.) I just passed Calc3 & I've finally completed all the prerequisites for Linear Algebra which has always interested me. I reeeeally hope to learn/"make it" to Topology eventually. I understand concepts & even the proofs in the appendix (which mosy students skip,) but I make so many careless calculation errors and it hurts me on exams. Sometimes the students I help kn group do better than me and they forget everything 1day after the test. What's wrong with me??? Make a video on that, please? I don't want to be a hater but people in Calc3 were doing better than me and some of them still don't know the limit definition of a derivative or the Riemann Sum that defines integration or even double & triple sums for multiple integration & it's frustrating because they don't even like Math and I do!! I like it lot!! ♡♡♡ So, besides careless mistakes, what am I doing wrong? And how can I avoid those careless mistakes????
    6
  9129. As a programmer,i drew the same conclusion years ago. Logical fields, take time to learn bcos I think the brain has to grow/change to accommodate the concepts. It just takes time. It becomes second nature after The brain has been absorbed it. Anyway,i feel maths suffers from some issues that impede easy learning.
    6
  9130. Is it just me or does this dude resemble what may be Jeff Bezos his long lost brother? And he has the youthful transformation to match lol how is this guy getting younger by the year lol
    6
  9131. F.R.S. means "Fellow of the Royal Society".🥰
    6
  9132. Good man
    6
  9133. I'm thinking of dropping out of my engineering degree because of math and physics so I can study Cognitive Science instead. But i have no clue what you do with CogSci Degree.
    6
  9134. The style and clarity of vintage books are the best— Math Sorcerer I really appreciate your recent reviews of some superb classics. Could you please review two great PDE books one by Farlow and the other by Sommerfeld.
    6
  9135. I'm going through Hungerford's book on introductory abstract algebra and it's fantastic. Attempting to prove all the theorems, if I get hung up the text's proofs are very easy to follow.
    6
  9136. And what happen when m give two equal values
    6
  9137. Contemporary abstract algebra by joseph gallian is better for groups, ring and field theory
    6
  9138. This could be a great video to make about maths and to show a real-world application of compounding interest! I also think investing is one of those things that everybody should get involved with in my opinion, even if it's just simple strategy of put any spare money you have at the end of the month into an ETF like the S&P 500
    6
  9139. Calc 3 tricked me this semester . The beginning portion was so easy and then al of a sudden the material had us wanting to have integration by parts in our heads as if it were second nature lmao . Fun class though
    6
  9140. Oh boy can I relate
    6
  9141. I can't thank you enough. You're the only video I could find explaining this and that includes videos from my own teacher who assigned this on a quiz.
    6
  9142. Me (26), was talking to my brother (36) talking about going back to school, the differences between the younger students, and able to deal with abstract concepts without your brain shutting down. I did late night uni classes, and was always humbled by the older students. They were the ones getting after it, no matter the time, no matter their schedule, Willing to talk and converse about problems, most importantly though, THEY WHERE WILLING TO SHARE WHAT THEY STRUGGLED WITH. this alone gave hope because even though they were getting after it, they still struggled. This on top of you mentioning math is hard, even for the 'gifted' students at some point. That's why I'm choosing a university to transfer to that actually has a LOW transfer of maths (BA/BS), I want to be in a room where there are not that many people, all struggling on their own quests, But having that engagement and personality with the professor when it re-opens.
    6
  9143. I like:"the first principle is that you must not fool yourself and you are the easiest person to fool"from feynman
    6
  9144. So thankful that I found your channel. I borrowed How to Prove It from my university's library and it's been a great help.
    6
  9145. "An exercise for the reader" really hits.
    6
  9146. thank you prof I'm also struggling from transitioning from undergrad classes that are mostly computational to graduate level like advanced statistics + chaos theory + partial diff eq. Thank you for the motivation!
    6
  9147. You are SO AWESOME, Math Sorcerer!!! I'm SO CRAZY GLAD I found your channel!! I already feel like I've known you for quite a while. I happen to have two six-shelf bookcases of general and popular math books and math textbooks at home in my private math library that I've kept updated and stocked for nearly six years. I also have a smaller three-shelf bookcase containing books on math history and historical works on math (such as Euclid's ELEMENTS and CONICS by Apollonius of Perga) on top. So, you clearly impress me, Math Sorcerer--BIG TIME!!! :) :) :) :)
    6
  9148. Gosh I had to read this 😢 thanks
    6
  9149. Check out Mathematical Apocrypha by Steven Krantz as well. A bunch of funny and interesting stories from mathematicians
    6
  9150. Reading the Stoics has gotten me through some tough times. Also a big fan of Absurdists like Camus
    6
  9151. I have to admit hearing you say it once took you a long time to write a proof makes me feel better. I think you are an excellent proof writer so I feel encouraged.
    6
  9152. Hey good video. Btw can u explain to me what does "preserving operation" mean? And can you give an example where operation is not preserved?
    6
  9153. The title has been changed to "Mathematical Proofs: A Transition to Advanced Mathematics". I do not know if the content has changed or not.
    6
  9154. Thanks for the help it was very useful!
    6
  9155. The Luminescent!! Math sorcerer😂
    6
  9156. What I needed to get across the finish line! Determined to get it and Master it 💪
    6
  9157. 😆😆😆😆😆 it's a beast. Thanks yo Gallian sir. I have his book for it.
    6
  9158. Primer comentario
    6
  9159. You're a legend for this. Thanks so much!
    6
  9160. Same
    6
  9161. THICC
    6
  9162. Thanks! I broke my head for 3 hours in this property, and at the end, is simple
    6
  9163. I'm not very optimistic or self-confident, but I wouldn't have a lot of the optimism and self-confidence I do have without your YouTube channel. You've seriously helped me develop a much clearer picture of the real opportunities and pitfalls that exist in studying mathematics, and I'm genuinely in your debt for that. Thank you so much!
    6
  9164. But hey, every person has their own type of learning. It's good to know your method
    6
  9165. Your videos are great. If you have time then please explain mathematics formula in detail so that new people in mathematics can get the skills of understanding the depth of mathematics formula. Wish you all the best.
    6
  9166. hey i dont mean to be rude but i believe the Archimedean Property is actually if a>0 then na>b
    6
  9167. Reminds me of the following. "I do not know what I may appear to the world, but to myself I seem to have been only like a boy playing on the seashore, and diverting myself in now and then finding a smoother pebble or a prettier shell than ordinary, whilst the great ocean of truth lay all undiscovered before me." - Isaac Newton "I know that I know nothing" is a saying derived from Plato's account of the Greek philosopher Socrates. It is also called the Socratic paradox. "A fool thinks himself to be wise, but a wise man knows himself to be a fool."  - William Shakespeare I think it's related to the Dunning-Kruger-effect: "Unskilled and Unaware of It: How Difficulties in Recognizing One's Own Incompetence Lead to Inflated Self-Assessments" In general smarter people are more aware of how little they know of the humanly knowable and maybe also of the humanly unknowable. Being aware of the fundamental limitations of the physiology of the human brain or how this physiology affects our perception of reality. Kant's "ding an sich" comes to mind.
    6
  9168. We also need a list by Indian authors. They have nice explanations tbh
    6
  9169. You have a great channel dude! Keep up the great work! Youve been a motivation to re-start my journey towards learning difficult things
    6
  9170. Well this is one approach... It seems very non standard. Mathematics education is not about understanding mathematics, it's about doing mathematics in the hopes that it leads to understanding mathematics. But even this isn't really expected. Perhaps there is this unstated belief by the community that doing the mathematics is more fundamental to the content of mathematics than its concepts; perhaps in the sense of believing that at some point words fail to explain what can only be demonstrated. I tend to agree with the author that it's more a phenomenon of teachers letting the exercises do the job of explaining what they lack confidence in actually knowing. And it wouldn't surprise me that this would be a recurring/continual situation throughout education history. Anyway, love the enthusiasm in the video, like the approach the author is taking.
    6
  9171. Yesss! I love all of your book reviews. Could you please put them into a playlist?
    6
  9172. Exactly what I needed as I’m just starting a course in advanced micro economics!
    6
  9173. It’s easy lift weights do math…
    6
  9174. I love these videos where you share your textbook discoveries.
    6
  9175. Love your work. Helps me keep going with my learning :) Thanks the recent splurge in proof math it’s really been lifting my interest in different areas.
    6
  9176. Starting my masters in applied stats next Monday. It’s fully funded but the only reason is because an outside company is covering it (professor they’re working w needed assistance w the work load and they agreed) .
    6
  9177. Could you review the book "Introductory Real Analysis" by kolmogorov and Fomin. and maybe a few alternatives to this book?
    6
  9178. Hmm not to sure if i agree with the thought that everyone can do reasonably well in college Math. At least in Germany almost everyone who goes to study maths in College was pretty good in Highschool and out of those only about 50% make it to the third semester. So if anyone is actually really trying in HS and not succeeding im not sure if going to College for Maths is the greatest idea. But if it really interests you go for it it is probably worth a shot.
    6
  9179. Fubini theorem
    6
  9180. first, love your vids mate
    6
  9181. Abstract algebra must have gotten extremely popular since you made the video because used books are in the 55 - 85$ range. Any reason why they went up so much?
    6
  9182. The Swole Sorcerer
    6
  9183. The 2 in question c means x=2?
    6
  9184. Doing math on a window or mirror feels so cool but so impractical at the same time lol
    6
  9185. It's not you working on a maths problem, it' s the maths problem that is working on you ...
    6
  9186. Mathematics is like a mountain. Accept the challenge and climb it if you wish.
    6
  9187. Calculus is the language of the universe. Physics uses that language to explain and predict. I'm sure calculus is not necessary to understand physics, but it sure helps.
    6
  9188. Thanks a bunch. Very informative. God Bless you, teacher
    6
  9189. Hi! Could you do a video on what you think cheating is? The examples you gave in the video seemed clear. No notes were allowed, but the students snuck notes in for the exams. But what about stuff like looking up answers in Chegg for homework problems that might only be worth 5-10% of the grade? Or going over homework with friends? Does looking up answers in order to figure out how to do the problem change whether or not it's cheating? Is cheating simply not following the professor's instructions? Thank you.
    6
  9190. What is that !? Is it really a " proof" , all my respect, but it doesn't seem to be a proof according to my humble knowledge the proof should be a general case describing why & when something be in " certain & very specific situation" then we'll match what is fit from many probabilities or cases . Yes your one show that "yes it's exists " but but it's a single value one cannot generalized your proof & if he want then he should go trying & figuring out numbers these could take FOREVER to know the the values that match . In the 2nd case you take "a" as a base rise to a certain power wich is not equal one ! . I highly appreciate what you do but I really want to get deep understanding don't misunderstand me take my words as a question & you yourself said" it's not like what you expected as a proof" . Thank you so so so so much , keep going
    6
  9191. Oh my gosh!!! I knew I should not have changed my major from Math to Business all those years ago, I could have saved $1k's on therapy.
    6
  9192. Am giving the text entitled "Concrete Mathematics" a peruse now and think it's well written so far. Congrats on the new shelves Sorc, always a good thing to see a sign of positive library growth :)
    6
  9193. "I'm not going to sniff this book." 10 seconds later "I'm just gonna give this a little sniff" Haha awesome
    6
  9194. I prefer the book by Micheal Sullivan
    6
  9195. My next semester will be the greatest !
    6
  9196. From my experience I can recommend Shaums differential equations, it's great book with answers to all problems ((:
    6
  9197. yoy now you start doing programming video. great job...
    6
  9198. i'm drunk, watching this video and thinking, i'm don't understands this matter nor how write in english (i'm brazilian), congratulations by contents!
    6
  9199. There are probably some people out there who have have read this entire book and have worked every single problem!
    6
  9200. Having this comment liked by The Math Sorcerer who feels famous by association for having interviewed somebody who commented on a book, would make me feel famous by association as well. 🤞
    6
  9201. Great video effects 👏 and superb video❤
    6
  9202. I did the whole book on highschool during the course of a year.
    6
  9203. Frank Zane taught math and chemistry to support himself. He and Arnold worked out in Santa Monica at a gym a couple blocks from the beach. Joe Weider and his brother Ben were originally from Canada and came to California in the 60's.
    6
  9204. Thank you so much! Do more something related to this. This is pretty useful
    6
  9205. If you'd send me a hard copy of that then I'd happily solve all of the problems in a month. 😉👍
    6
  9206. this looks like the most fun math class to be in! love the lectures
    6
  9207. The book you recommended looks awesome! Hoping to read some of it between the semesters in the semester break
    6
  9208. The best book is Elon Lages Lima- Real Analyses vol I and II, ex professor of IMPA (Institute of Pure and Aplication Mathematics) in Brazil.
    6
  9209. I AM the Master Procrastinator! Really.
    6
  9210. That's my college text you've got there. Took 10 hrs to review the first half of the first semesters. Starting to slow down in the differentials section. Thanks for the memory techniques for memorizing them. I had to learn them by discovery and tried to teach my students the same. Writing the formula first, how powerful.
    6
  9211. My favorite math sorcerer in the entire youtube has posted!!!!
    6
  9212. Your videos are incredibly impactful!
    6
  9213. Afternoon Math Sorcerer, it's your student who actually drew the horse on the exam.. I don't laugh nearly this much listening to my calc professor talk as I did watching this lecture! Great examples and hard concepts mixed with humor is the best way to learn! Thank you:)
    6
  9214. Thank u very much after watching this video I can easily solve my assignment 🙂
    6
  9215. Thank you for the explanation. Before watching the video, I spend almost an hour trying to solve the problem. I never realized that the inequality changes after dividing by ln(x). Thanks again
    6
  9216. This was in the test and it wasn't taught...
    6
  9217. Of course I'm gonna trust a guy that looks like and old scientist from a painting without hesitation!
    6
  9218. I think the way Ramanujan approached math was heavily influenced by the format of that book. He initially presented his work in a similar format, right? I think the specific format of that text combined with his ability and dedication was the perfect combo.
    6
  9219. It is always pleasure to me to find your math video. It is really enjoyable to visit every time in "Math Sorcerer".
    6
  9220. Dover books today are garbage. The binding is terrible. The paper is thin. The cover design is horrible. The blurbs are full of typos. The "corrections" introduce new errors. Do not buy them. It's easy to tell: if the ISBN is not on the spine, burn it. The one you're holding is one of the good ones though. They used to be great. They were sewn in signatures, they were (actually) printed on acid-free paper, they had great cover designers. Today they are trash. They even rewrite the back cover blurbs and introduce new typos like "modem era" instead of "modern era". They are barely one notch above Amazon's createspace print on demand garbage. And don't even get me started on Springer math books quality nowadays.
    6
  9221. thank you
    6
  9222. Very interesting, I really like old books, thank you for your work!☺️
    6
  9223. Are PDF of these books available
    6
  9224. Hello, I love your videos
    6
  9225. Yooo, holy shit. Thank you for making this video. I have been working on this problem for hours. My instructor literally did not teach us how to compute this when r is not significant. I could not figure it out on the TI-83 Plus. I had no idea what stat chrunch was before seeing this video. Thank you.
    6
  9226. I am finishing to study a 5-year degree in Physics, and I want to become the best theoretical physicist I can, focusing my research in the most theoretical and mathematical topics (without converting myself in a mathematician), do you think is necessary to study books of Topology? or is better to focus only on books like differential geometry for physicists, fiber bundles for physicists, knots for physicists, etc.?
    6
  9227. Churchill's text on complex variables may be considered a classic of sorts. A few generations of mathematicians were trained with his text. I used the grey edition and then a blue, which I recall was the third edition. These days, there are complex analysis books with more topology and many more illustrative graphics. Jerry Marsden authored a worthwhile text about 25 years ago, but it has probably not been updated. Visual Complex Analysis by Needham is a nice read and reasonably complete and modern introductory text. I believe Needham's text is a very worthwhile investment (of both time and the purchase price).
    6
  9228. Buffett is a value investor he's not a trader. That's apples and oranges.
    6
  9229. That's incredible, I love to smell all of thats books!🤗
    6
  9230. I wish I heard this 10 years ago. Solid advice
    6
  9231. 11:26 pm here, gotta study for test and I m watching this video because I needed this
    6
  9232. Around here the high schools use e-books not paper books. Another option. Around here the used book stores all seem to have high school math text books. I guess some students failed to return their paper text book and they ended up in the used book store.
    6
  9233. I'm taking both together at home! But it's hard to pull out time....
    6
  9234. I am taking Calculus II and Intro To Mathematical Proofs. I hope I dont fail lol
    6
  9235. 2:20 fantastic point "...even if its math you already know"
    6
  9236. this makes calculus so easy to understand! which is great because I'm really struggling in my class. the energy is everything
    6
  9237. Sir, I am a high school student from India. If possible can you please review the book 'What is Mathematics' by Balkrishna Shetty. This book introduces mathematics as the study of logical structure of patterns and uses quotidian approaches and stories as metaphors to explain mathematical concepts and their history.
    6
  9238. TheMathSorcerer, Great Video. The illustration and proof was perfectly supported by your explanation. Thanks for uploading!
    6
  9239. Thanks for all the book recommendations! 😃
    6
  9240. I often wake up at 4 am, so I read books or watch tutorials on Youtube. After that, I fall back asleep. I just steal whatever free times I can get for studies. I often do so at work where I am mostly minding the shop. Trade here is very quiet, but I don't mind since I'm not a business owner.
    6
  9241. Math Sorcerer 🙌 nicely done, I'm taking linear algebra this semester, so yeah, thank you.
    6
  9242. As a beginner it puzzled me, Could you just use Laws directly from Logic? Well looks like It is. Thank you for the explanation.
    6
  9243. Thanks. Sometimes it feels like life is backing you into a corner but we just gotta keep the goal in mind and keep at it.
    6
  9244. Thanks, I just started this material and I was really struggling. My class is too fast paced for my 41 year old self
    6
  9245. hey I am the first viewer.... :)
    6
  9246. Interesting spelling of coordinates as "coördinates" at 8:21. Wonder if that is how it used to be spelled.
    6
  9247. Have been following you since 2-3 months. Your videos are informative and guiding. Especially videos like this are very helpful to take several steps into something...
    6
  9248. Watching this while doing differential equations. What a moment.
    6
  9249. Do you think this could work for modern-day reading or is it too dated?
    6
  9250. First 😂
    6
  9251. Wow that's a really nice collection of math books! And here I thought I had too many math books....I saved all mine from my college days and built myself a book case for it!
    6
  9252. Mathematics is a divine thing .It is created by God.The reason i think so because when i look at the natural numbers i can find them in the nature.I mean you will never see 1/2(Half) or( 2 and a half)fruit on a tree it's only 1,2,3,4...... See it's so divine
    6
  9253. Salam from Germany :-)
    6
  9254. Salam from Georgia 🙏
    6
  9255. "You don't algebraically get an inside without and outside." paraphrase of Alan Watts. Wonder if that'd apply here speaking of the outside
    6
  9256. There is perhaps nothing more indicative of the times than having to hold up a heavy laptop for an environment check like Rafiki holds up Simba in The Lion King... 😂
    6
  9257. Very nice, thank you
    6
  9258. very simple and easy to understand, thank you
    6
  9259. Your cockatiel is so cute! I couldn't stop looking at him. You should include him in the videos more often :D (I love birds!)
    6
  9260. Lol, do at 11 am a homework that's due next week, must be grad school xD
    6
  9261. This was very motivating and helpful, this is the first time i actually see someone else talk about this phenomenon.
    6
  9262. Because they don't waste time on useless Gen Ed classes
    6
  9263. I never took any engineering classes. As a mathematics major I did take upper division physics courses, but that was by choice; it wasn't a requirement. Once in talking to some people taking courses for an advanced degree in engineering they mentioned that they were studying Lebesque Integration. That surprized me. But again, they were in graduate school then. One thing I noticed in working with engineers in the aerospace and defense industry; engineers were not the smartest people in the room. For example the best people in electromagnetic compatibility and electromagnetic interference, were not degreed engineers at any level but former technicians who had been promoted to an enginering classification, often having gotten a BS in some field unrelated to engineering such as psychology which they could obtain easier and quicker than returning to college for an engineering program. One firm that conducted advanced studies of ballistic missile defense systems would only hire physics majors, not engineers.
    6
  9264. For this type of content sir you make me fall in love with Maths thanks teacher. Watching this from Bangladesh.
    6
  9265. I tell my students that in future math classes their professor may only accept methods shown in class. This student needs to talk with his professor to find out what methods he wants to see on the tests. Instead of worrying about grades, learn the material. You are behaving like an independent learner by teaching the course to yourself. Take advantage of the fact you have a professor. Talk to him. Find out his standards and learn from the experience. You are in a class, not self study… even in Zoom.
    6
  9266. I have it as a Dover reprint!!!! 😊
    6
  9267. I'm 27 now & about to start my undergrad. I've completed a 3yr long diploma after my highschool-equivalent studies in my country, Tanzania🇹🇿, and due to a series of misfortunes I ended up spending 4 yrs in it. But I'm super excited than ever to finally get a chance to do my bachelor's degree and I'm looking forward to be studying with 19 & 20 year olds 😀😀😜 So there's never a 'could've been a correct path' in Life. The path one takes is the only & the best one that one could have taken.
    6
  9268. But the year is only about 5 minutes old.
    6
  9269. 4th time taking DifEQ this semester... I currently have an A in the class with less than 2 weeks to go! Your videos have helped a ton this semester, never give up friends
    6
  9270. Often with learning, the ability is not the hindrance; rather, it is the motivation.
    6
  9271. Your body is a temple of the mind. So you gotta lift these heavy ass weights!
    6
  9272. Never too late. Got my degree at age 39.
    6
  9273. I'm going to college at 48 :D I'm revising all the material that I'm going to study in the first year at the University. I'm aware that I need to be well prepared because studying math won't be easy, but I don't feel too old at all! In fact, It's quite the opposite! :D It's the best time I've ever had in my life! That's how I feel :D
    6
  9274. Its Wyershtruss :)
    6
  9275. I'm a high school student who wants to learn pure math. Now, I'm reading "Introduction to Graph Theory" by Richard Trudeau and I don't know what I'm gonna read later
    6
  9276. , thank you soo much for the marvelous content. I need your help in finding a good book about calculus and probability. I am doing neuroscience research and I know I need a good understanding about calculus and probability. my current knowledge limited (I studied undergrad level of calculus and almost zero probability)
    6
  9277. 0:35 my math teacher literally was hanging out at the local pub on fridays and he advertised it
    6
  9278. Yes!! I love mathematics now as I’m starting to see all the wonders mathematics has within the engineering field. I hope some day I can become as good at my math professor!
    6
  9279. Thank you for the help and is there a name for these types of equations? What should I refer to them as?
    6
  9280. Is it required to have studied a proof book before this?
    6
  9281. Any opinions on Dummit and Foote?
    6
  9282. I think I was the person who suggested that book (so thanks for making this video 🙂) . I used this book in a compiler course years ago and somehow I ended up with two copies. Someone once loaned me the earlier (and thinner) edition. I recall making some photocopies of several pages, because I want to say it covered some material that wasn't in this edition. In the course I took, we wrote a compiler, but instead of writing a compiler, I wrote a compiler-compiler which took as input a grammar for the target language and produced a compiler for that language. The prof was impressed! 🙂.
    6
  9283. Really great video!! Exciting to see a video on more advanced mathematics. I personally own the Gallian book after seeing your review on it for my second degree in mathematics. So excited for it to start !!! Also the title of the book almost seems like the author is trolling the reader 😂
    6
  9284. you're a great influencer math sorcerer, thank you for doing what you do <3
    6
  9285. How many equations are equal to pi lol
    6
  9286. Absolutely! Fermat’s Last Theorem took 358 years and the Reimann Hypothesis is still an open question. Mathematics is hard but the rewards of genuine understanding are worth it. Stay committed!
    6
  9287. Could you help me with a doubt? i'm a brazilian eletronics engineer, that learned through some university courses that my actual love is mathmatics, then i've engaged in a second gratuation in math, while doing my master in engineering (for financial reasons). But i really think that i was supposed to work with Mathematics, do you think is possible to be accepted in a PHD program in math even with a masters in engineering, or would it be necessary to do another master if a wanted to do so? What's the actual path to reach a PHD program in math?
    6
  9288. Stepping into a random field of study and realizing you're an insane pro. Why? Math.
    6
  9289. you meant meth(math) addiction? I guess ur right
    6
  9290. Are you actually like going through a math book and posting a solution to every problem? You seem to be uploading a lot every day. Not that there's anything wrong with it, just wondering. ps. I actually like watching these :D
    6
  9291. Any ideas as to why Spherical Trigonometry fell out of popularity?
    6
  9292. You know, my biggest struggle in math is not actually about understanding things, but not forgetting them again. I constantly need to re-understand things I did only a few months back -- especially proofs; if I can't recall the proof for something I don't feel I understand the thing anymore. And then I need to look up the proof again... which often involves other theorems the intuitive reason and or the proof of which I have forgotten. Then I need to look up the proof of _these_ things etc. etc. This is super frustrating and slows me down a LOT. Have you ever had that problem or know of other mathematicians that have this memorization problem and learned to deal with it?
    6
  9293. In India we solve it verbally in 10th grade
    6
  9294. Thank you very much MS. I have a question: will i become a Math Major if I study EXTRA HARD?
    6
  9295. This guy is either really short or he has very long arms.
    6
  9296. We will always support this channel. Your insights have always been incredible.
    6
  9297. Yes, there’s no comparable physics textbooks review on YT. Even on r/physicsbooks, it‘s just a small and poor community and infrequently updated.
    6
  9298. I have a physics test tomorrow time to study all of physics now
    6
  9299. Your voice is so relaxing and you solve the integral really calmly that is very soothing
    6
  9300. I used to play this game like crazy when i was in middle school xD
    6
  9301. anyway we can share math books with you to review/explore?
    6
  9302. What are the mathematical prerequisites to know before starting to learn Abstract Algebra?
    6
  9303. Anything published by Springer Verlag is bad-ass. It will fold new creases into one's cerebral cortex. I recall a volume of a similar size titled "Unsolved Problems in Condensed Matter Physics".
    6
  9304. So clear. Mind blown
    6
  9305. Very wonderful thing to do to help someone. The way you speak from your heart is very beautiful. You have my respect. 😊
    6
  9306. Hi math sorcerer can you make a video about the difference between applied and pure mathematics . Thanks
    6
  9307. i wish i had a child,so i had a good excuse to watch this
    6
  9308. Hi Math sorcerer... Would you like to come to Finland to give a talk on math for university students... I will cover your flight and accommodation...
    6
  9309. Linear Algebra bu Hooffman is really nice book (a gem) from an engineering point of view. I didn't offically read it but most of its topics were covered on a similar layout in our engneering linear algebra and linear system theory courses. It's sufficiently rigorous, clear, and practical in constrast to other abstract books : -)) Linear algebra books generally tend to be practical and applied though...
    6
  9310. Thaaank you
    6
  9311. I just wish this video was longer. There is so much that can be said about dealing with the past: our past failures in our math education, our teachers and their success and failures teaching us, our struggles learning math, how it all affects our outlook. But we have the present and the future to take care of. I, for one, will try to take care of my present and the future as I forge ahead toward my math degree. We all can do that as well in whatever we study, in our career, and in life 😊
    6
  9312. I have fond memories of using Landau-Lifschitz volumes 5, 8, and 9 as a grad student (in the US in 2010s.) I bought the books from Nepal I believe. Paid around $15 plus $50 shipping, much cheaper than buying them locally. I had a friend who was assigned their volume 1 in her second year of undergrad physics...she dropped the class and the major.
    6
  9313. You make math so fun, I am always looking forward to study with your videos!
    6
  9314. Man your videos are always great and easy to understand, keep the good work!
    6
  9315. He lost me when he said "on your own"
    6
  9316. The movie A Beautiful Mind, starring Russell Crowe, about Nobel Prize winner John Nash, has interesting window scenes, and some involve writing on the windows. It's occasionally funny, and good to watch.
    6
  9317. Summed up my current situation. Thanks for the pep talk 👍
    6
  9318. Thanks for sharing ❤
    6
  9319. This is beautiful. I wish all math books would have detailed, full explicit solutions (developed steps) for all the exercises (examples), so we can learn how to solve them and gaining mathematical skills in the least time possible. I mean, à la Schaum's Outlines. :)
    6
  9320. i self studied calc 1,2 & 3, and i think calc 3 is the hardest when grasping vector integrals such as line and surface integrals.
    6
  9321. One thing I try to do is when I've exhausted all of my resources and I decide to look at the solution: only look at a tiny part of the solution. Cover up the page or scroll very slowly. I want to see just enough to get me unstuck so that I can try to finish the rest of the proof on my own. I learn a lot more that way than if I look at the entire solution and see every detail laid out for me.
    6
  9322. Well your english is pretty good. Wish you luck!
    6
  9323. So here x 3
    6
  9324. if u call this A HARD problem then my teacher is the devil himself
    6
  9325. Hello Math Sorcerer I was wondering if you could provide a list of books from algebra to precalculus that explain the theory and proofs. I asked because I am working on algebra and trigonometry book, but proofs and theorems are touched very lightly. Also, why don't you make a video about who you are and how you started with math. Thanks for the videos. Much appreciated
    6
  9326. your hair looks so bonita
    6
  9327. This is a banger vid, saved my ass
    6
  9328. Thanks a lot! I totally agree with what you said
    6
  9329. Excellently explained! 😌💭
    6
  9330. Thank you Sir for delivering to us all your contents, greetings from Italy!
    6
  9331. As an industrial designer and ocasional, amateur writer... i quite agree with you, i might add that the potential to be creative is within reach of almost everyone, just set your goal and have realistic aspirations, well you have Explained this in many Videos. Also: "al que madruga Dios le ayuda" Oh tish... That's spanish 😂 Ah, forget about that (is there a similar saying in english? I think that is "the earliest bird catches the Worm first" you already know that) At any rate... I love to hear my mother tongue in this sort of Videos!
    6
  9332. Hey Math Sorcerer where do you buy these cool copies from? They don't really seem to be available at affordable prices on sites like Amazon. It'd be cool if you could share some ways to get hold of such collectible copies!
    6
  9333. 3 steps! 1) Practice what you already know. 2) Perfect it to the point that it becomes easy and automatic. 3) Challenge yourself with something similar to what you've already mastered but is still sufficiently different and novel.
    6
  9334. Came from economics to study math, turned out good :) I think its important to not underestimate math as a pure subject, because many subjects teach it to easy, without proofs and so on. So some guys from biology or economics might think everything is easy like the applied math in there subjects and studying math will be as simple as this. This will be a hard awakening
    6
  9335. The Psychology of Trading by by Brett Steenbarger is great too, he is (or was idk) the onboard psychologist at SMB Captial
    6
  9336. Yeah！This is a great book of linear algebra ！It is popular！( Especially for those who major in pure math. )
    6
  9337. You should review or recommend more geometry books for good. 😊
    6
  9338. +1 on this book. A classmate recommended it to me in graduate school. It's brilliant.
    6
  9339. He can easily go to the gym and make his day 10x more productive. I’m sure working out will not only make him feel better about studying but also make his mind sharper. If he has 10-12 hours a day, he certainly has 1 hour for the gym!
    6
  9340. I didn’t even realize I had this until now but is this reason why I’m failing English but not math.😂
    6
  9341. If I remember correctly, the first edition of this book was titled 'Theory and Problems of Differential Equations' and was authored by Dr. Frank Ayres Jr. in Schaum's Outline Series. It was the textbook that our class was taught from in third semester of our undergraduate Computer Systems Engineering degree course in Autumn 1987 here in Pakistan. It was a good textbook to learn about Differential Equations too. I still remember we were taught about topics like Variable Separable and Runge-Kutta methods of solving Ordinary Differential Equations in addition to other topics and methods.
    6
  9342. I can't believe I forgot about this! XD Thanks for the guide!
    6
  9343. I've never met anyone else who loves math!
    6
  9344. in our calculus lessons on integrals, instead of using the substitution method as u did in the video, we were provided with an integral formula which is the following: - For integral of sin(ax+b), the result will be -1/a cos(ax+b) + C - For integral of cos(ax+b), the result will be 1/a sin(ax+b) + C (of course with a differs from zero) I hope this helps. i also do enjoy your book reviews and podcast, they are absolutely amazing!
    6
  9345. You know what, synthetic division is something no teacher has ever taught me outside of YouTube. It is also WAY too important for that.
    6
  9346. Don’t doubt yourself. You’ve got this.
    6
  9347. A great vid as always
    6
  9348. I prefer books that have immediate exercise(s) per subject/concept compared to textbooks that (notoriously) pile subjects and leave the exercises at the end of the chapter. For me its better if things are presented and worked in small doses; especially if I'm just studying in 30 mins.
    6
  9349. I really like the first book in this sequence and I haven't really gotten to this one yet. The one variable book is great for getting a deeper understanding of a lot of the topics if you aren't prepared for something like Spivak. He went much deeper than most writers of "universal" calculus text authors did. After spending time wrestling with trying to learn proofs, his book Basic Mathematics and this one helped me understand, really, what makes and doesn't make an acceptable proof. He just asks you to show stuff about the topics in the book, and this is probably how it should be done. Edit: In that book, I really liked the section on using Taylor series to find limits that would be a nightmare to find algebraically. Kind of blows my mind how it doesn't show up in other books, except, I suppose, for it being a computer's work today. It's so straightforward, it seems worth mentioning.
    6
  9350. Amazing! Thank you very much! Old books are really magical!
    6
  9351. ❤️❤️❤️
    6
  9352. As a math professor, this is hilarious.
    6
  9353. Investments are more about TIME then timing if you are young get in there you are averaging anyway but I do buy every major dip if i have a little extra cash
    6
  9354. This exactly what I've been going through. I needed this, thank you.
    6
  9355. Thank you so much I love your vids bro 😊
    6
  9356. i’m getting my Art of Problem Solving Calculus book soon! I’m also getting their intermediate combinatorics book. Can’t wait to finally start calculus.
    6
  9357. You should try to look for Makarenko's ODE's book, has a lot of examples and problems. It's a really good book, you would enjoy it
    6
  9358. Your videos have been getting me through summer calc 1. Due to COVID, the class turned 100% online. Teaching myself math online was never in my plans. I'm a good student, but math has always given me anxiety. My professor has been assigning your videos as our "lectures." They have given me much relief and clarity. You're work has been a true God sent. I'm confident I will receive the math credit towards my Geoscience degree at Virginia Tech.
    6
  9359. Wow! 🙌🏼
    6
  9360. It's much the same in the US. In fact some people study math with the goal of going straight to wall street after graduation. And this is very doable with prestigious undergrads. Math is pretty lucrative overall.
    6
  9361. Its the same thing anywhere, mate. & I keep saying the same thing. But tge problem, seemingly, is: 1) lack of proper guidance regarding application of those math skills. 2) many math lovers rather just stick to pure maths & one doesn't make a lot of money there
    6
  9362. "One up on wall street". Make your research, find one great company a bit before most of people, put your money, let it do it’s thing for years. We had Amazon, Apple, Google and now Tesla who are no surprise to anyone following the tech scene. They all did 10X, 100X or more. Tesla will still 10X in the next five years. Something huge will happen with AI too. Microsoft, NVidia, TSMC are well positioned at the moment. Basically what the nerds are interested in now everyone will get on in the next 5-10 years. You only need to find one or two in your life. Charts can help too, it’s a way the emotions of the market speak but it’s a fractal and most of it is competed away.
    6
  9363. One way you become an elitist is thinking you're in some way "superior" because you're good at something. Writing a book and starting it by assuming the reader knows abstract algebra isn't that, it's just a practical decision about what audience you're focusing on in that particular work. Being aware you have skills X and Y and putting that to a useful purpose is perfectly OK, but you have to be constantly vigilant to not let get to your ego. Every human being who's a part of society is every bit as important as you. No more, no less. Never forget that.
    6
  9364. Can you make please a list of these discrete math books you used from beginner to advanced in order of how well the info is presented?
    6
  9365. Bro have white circles 😂❤
    6
  9366. Have you checked out Rosen’s “Handbook of Discrete and Combinatorial Mathematics”? (I’m not referring to Rosen’s famous book, “Discrete mathematics and its applications”)
    6
  9367. I want to be a mathematician really bad but the job prospects scare me. I would love to do research and teach at a university but it's a tough gig to land. Also, I don't want to be working like crazy to get way less than what industry pays for CompSci and other related jobs. I feel like it's luck if you actually end up in a tenure track position. I have a lot of respect for people that are willing to go through it for a math phd academia job while not knowing how it will turn out.
    6
  9368. I can agree with everything you’ve said. I try to make others happy when I can. Especially during these tough times. I enjoy all of your content. The joke videos you post are awesome and they definitely brighten my day. Also, very few people in my life are passionate about math. It’s nice to have a place I can come to see fun math content and a fun community of people who like this content too. Keep it up!
    6
  9369. Yes, this is a very specific problem which (most likely) has no direct uses and is what I like to call a "dead end" problem. However, whenever one finds themselves exploring a mathematical concept (like power sets) it can be useful to look at strange examples like this to build intuition. It's basically the mathematical equivalent of a silly hypothetical that might come up in conversation, that ends up being taken a little too seriously.
    6
  9370. PL/I is pronounced PL One - Programming Language One. I worked at IBM, where this language was created, and used it to program in house applications. For IBM software products, we used PL/S - Programming Language/Systems. PL/S is the language the PL/I compiler and runtime are written in. PL/S feels like a very streamlined version of PL/I. The folks who created the APL compiler and runtime worked down the hallway.
    6
  9371. I haven't seen "Basic Mathematics" but from reading an old copy of single-variable calculus by Lang I can endorse any Lang book enthusiastically.
    6
  9372. I'm taking DE's for the first time. I love math and I am so glad I found your channel! I love having good full lectures to watch and take notes! Also I love your other content. I really like math and think about pursuing it outside of class. Thank you for sharing all of your knowledge with us.
    6
  9373. I like your wig :)
    6
  9374. R is a subset of AxA?
    6
  9375. This great book is now in paperback, 2nd edition.
    6
  9376. I was always a good math student in the sense that i didnt have to learn much, and still pass. So my time commitment was minimal, thus i didnt really think learning much was necesarry. After the first exam i really had to prepare for i realized that learning does in fact work. But then the next problem arose, which i would say was a fear of commitment, which i struggled with last semester mainly. But after i realised that it is worth commiting (which happend last semester after i recognised, that a) Math is even more beautiful than i thought, through higher level courses and b) Math is generally a subject where you have good chances of financial stability) i now struggle way less with starting to study Also interesting math videos helped a lot to really see the beauty, and your tips were also very helpful
    6
  9377. All throughout highschool I just kinda shrugged off my grades, I always figured they be good enough, and it was so much effort to pull up the grade site for my school. Mighta been nice k owing when I was missing assignments, but I'm top in my class come senior year, so I guess it was fine. I just learned a ton
    6
  9378. Keep Going👍👍
    6
  9379. What are your opinions on people who say that expensive, prestigious universities are better than local ones?
    6
  9380. I remember a statistics course I once took. I had no clue. The lecture notes were of no help. Finally, exam time rolled around and I had 3 days to prepare. I took up the text book and sat down on the front porch and read for 3 days. I did no examples or exercises, and yet I got an A in the exam. This only goes to show, "READ THE BOOK!" An instructor may be a brilliant mathematician but still be a hopeless lecturer. It's a fact of life that being a subject matter expert is no guarantee that you can impart that knowledge to others.
    6
  9381. I have one in Arabic in classical mechanics but it way advanced abd one in french if I recall it's on relativistic electrodynamics 2 I guess anyways great video as always
    6
  9382. Just had to drop calc 3. Lol I needed this video
    6
  9383. This video helped me so much- very well explained
    6
  9384. Look ahead for the next school year math can also reduce math anxiety: the feeling of "deja vu" is psychologically effective for students.
    6
  9385. These problems you work out are still above my skill level, but I still watch them hoping to still learn something.:-)
    6
  9386. X**2 + y**2 = 4 in your head.
    6
  9387. Thanks for the video, I really needed to know how this works!
    6
  9388. What his makes me want to learn more differential equations
    6
  9389. Thanks for the video
    6
  9390. My theory is observation from early years. Learning how is made our environment trough playing from the childhood. Playing, running, observing animals, birds, insects give teach you maths. No just maths, even physic. You can understand concepts like series, trayectory, speed, similarity, areas, volumes, shapes, variable, amounts, forces, vertical, horizontal, perspective, increase, decreasing, all of them, playing or observing. That behavior is stimulated by the environment an mainly from others that do the same. Maybe a brother, classmates, parents, a film that inspired yourself. So more naughty you are from you was born and not just naughty in you behavior naughty in your mind your logical and maths skill will be better and better.
    6
  9391. New Title: 3 reasons to study math and why you shouldnt do it next to work and family
    6
  9392. Such a wonderful derivation... thank u sir 🙏
    6
  9393. I've not a lot to say, except that I completely agree with this. Complex analysis was one of the two times in my undergrad that I came close to achieving nirvana - and it was thanks to repeatedly going over the homework and the exercises from two text books. More importantly, I did the work throughout the course (normally I would get close to zero for tutorials/assignments and only put work in a couple of weeks before the exams). I try to have few regrets, but the fact I didn't do this for more courses in my undergrad is one.
    6
  9394. I'm a highschool student and while I do know that this is very easy for me now. I could not imagine being able to do this after 4 months of exposure to calculus. It took me about 8 months to finish all of BC calculus and 5 months to finish the AB section. But overall I think this test is reasonable for harvard. What would concern me though is seeing a diffeq or calculus 3 exam because I know those can get very tricky and tedious very fast.
    6
  9395. As a long time viewer of yours and somone going into the investment banking field, thank you so much
    6
  9396. I literally did a math test on statistics today lol
    6
  9397. The Sorcerer is correct. It's not too late. This video is really motivational.
    6
  9398. For Calc I and II, I used Swokowski's "Calculus with Analytic Geometry" in college back in the early' 80's. Still have it...
    6
  9399. Prof when will you be dropping a video about how to do math quickly? Love your videos ❤️
    6
  9400. That's actually true. People need different times to absorb information. My family often compared my younger sister and I. I was the faster learner and the high-achiever of the two of us. With regards to education, she needed more time and support to progress whereas I... was constantly left alone. I didn't even exaggerate it. They just left me with a textbook while she gets a full-on tutor (yes, I am jealous but it's all in the past now). However, I think genuine interest is more of a factor as well. I used to be so disinterested in math that my marks were extremely low back then. But, once I got introduced to the multiplication table and a new way to approach a problem, I had so much fun that my grades actually spiked an all-time high there. I actually do better in specific math subjects - basic algebra, analytic geometry and trigonometry - because I like solving them. Liking math kinda helps too.
    6
  9401. I'm so happy I made productive decisions about my finances that changed my life forever,hoping to retire next year... Investment should always be on any creative man's heart for success in life
    6
  9402. Don't listen to the haters man, I love your videos!! Just incredible!
    6
  9403. Can we just take a second and talk about how a maths author is named Dummit?
    6
  9404. Thank you for taking the time to spread this message. I want to fell in love with math. After 3 years without practicing math, all I do now is math... I will def remember this... PATIENCE...
    6
  9405. Yesterday I said tomorrow, and today, I'll just DO IT
    6
  9406. Begs the question : " why are we doing this", any clarification would be greatly appreciated and thanks.
    6
  9407. Would be nice as a channel intro!
    6
  9408. Damn man have you been hitting the gym
    6
  9409. Feliz Navidad, Maestro!! :hand-pink-waving:
    6
  9410. I bought the I EAT DERIVATIVES FOR BREAKFAST shirt!
    6
  9411. Does anyone else learn math, but very holding on and persistent on understanding the full concept of how it actually works from inside out. Or else you would feel very panicked because there’s just this little thing here that you couldn’t understand and it’s just bothering you. I do remember the procedures for one or two times, but I HAVE to understand what’s actually going on. So I often torture myself with excessive thinking. My brain hurts, but I would panic if I don’t think it clearly.
    6
  9412. Aurelio Ángel Baldor de la Vega (October 22, 1906, Havana, Cuba – April 2, 1978, Miami) I feel like learning Spanish just to read this book.
    6
  9413. We’re using that book in my proofs class! I’ve the 4th edition and it includes proofs in ring theory, linear algebra, topology, and with real and complex numbers! I really love it
    6
  9414. Atleast I am fortunate enough that I am able to do math at the postgrad level and building my math career.
    6
  9415. This is great!!! I would love to find a visualization of this derivation if you know of one please let me know, thank you so much!
    6
  9416. Please, make a video about the book "What is Mathematics" by Richard Courant. It will be great!
    6
  9417. I just found your channel yesterday man, you are really making the world a better place
    6
  9418. IMO the ability to explain something and break it down in common English is a good skill to have, as long as one is not being redundant. The inability to do this is what makes academics seem like inaccessible robotic nerds to the general public, which in turn reduces the ability of the general public to see such academics as useful for society or productive, which isn't really a good thing. Purple-crayon guy needed to understand this.
    6
  9419. To be honest, I am now in my 3rd year of physics and I have lost all passion as you describe it. I simply get exhausted already by the subjects that I have to learn so much so that I just lack all motovation to do more by myself. I simply don't manage anymore to sit myself down at the end of a long day of doing maths all day and just go into books on top of that. As such, I have hit a wall.
    6
  9420. first
    6
  9421. Love your videos
    6
  9422. Matt Sands was my Senior Project advisor at UC Santa Cruz; he taught me to write physics properly. (He went through a lot of red pens!) Matt did most the writing and translation from Feynmanese to English for the Feynman Lectures.
    6
  9423. People who haven't recovered till now but are still alive have a good chance to recover. So talking about their future really needs another way of doing the statistics. In total we could see around 97% recovering! But at the moment we cannot be sure.
    6
  9424. Most underrated math channel.
    6
  9425. My step father told me stories of his Navy days when he was a quarter master on an aircraft carrier. He said he barely made it through high school and basic algebra. He said that he was befriended by a highly educated young officer. The officer helped him learn math up through Spherical Trigonometry. This helped him in his job to track and plot position the fleet and other ships of interest. The stories gave me hope I could attain similar levels of understanding of math. I was in middle school at the time. I went on to learn what is now called STEM. I really enjoy your videos and especially this one as it takes me back to a seminal and sentimental time in my life. I am 57 now. Thanks
    6
  9426. Are the tuition waiver and salary only applied to PhD programs or master programs too?
    6
  9427. I agree with everything. This book is kicking my behind rn. My advice for anyone starting with this book is be very very prepared. It will not hold your hands. It will not babysit you.
    6
  9428. Knowledge
    6
  9429. Make sense sir ...i love u ...may god bless u
    6
  9430. I know this is an old video, but I cant stress this enough, you are mad helpful man, keep up the great work!
    6
  9431. Would this be any use to a 13 year old?
    6
  9432. Dam. I just got hold of a Discrete Mathematics book to start that path. Gonna need to Bezos this ASAP.
    6
  9433. Nice review, professor 👍
    6
  9434. try both 😂 I’m double majoring in both and crying inside
    6
  9435. bro is glowing with math energy
    6
  9436. Me eating nearly twice as much for homework: "yea I got this down to pat"
    6
  9437. this 'needing time' is also why its so so important to attend lectures; if you just read the book you'll read it quickly without understanding it fully/ storing the information in your mind
    6
  9438. Thanks so much! Literally, you're the best teacher! I've never seen the "I" placeholder used before, but it makes so much sense. This helped me with my homework! Longtime subscriber, your videos are helping me push through.
    6
  9439. How to fail math in one step : Step 1 : Being me Also, my role model is Galois and he died at 20 years old, on my way.
    6
  9440. No need to feel bad, you didn't missed out on anything. I am the type of the guy who goes out in parties, have many friends, kinda popular one in the group. And one thing I should say is, mathematics really does show how in-depth thinking a person is capable of and how much logic they could understand. Maths is important as it a universal language. For all the folks out there, please keep on doing, life is big enough to make friends. Even Friends respects those who make sense, and mathematics does helps one building it.
    6
  9441. Who are these people showing up more than an hour late???
    6
  9442. First! Miss u Sir.
    6
  9443. Hey Math Sorcerer, Just wanted to say I appreciate your videos on how to basically handle applying to grad school, what it's like, etc. Also your answer to my question below really encouraged me and made me believe that I actually had a chance to get into a pretty good program. And I did! (at least in my opinion anyway haha) I got into Purdue and I'll be starting there next fall! So that's exciting :) Anyways, take care, keep up the good work.
    6
  9444. Thank You! You made this theorem a cake walk. We really need teachers like you!
    6
  9445. Sir please make videos on logarithmic inequalities.
    6
  9446. Soo glad I found your channel!! Seriously you make proofs seem so easy! So helpful. Thank you!!
    6
  9447. Great video. Helped me a lot to prepare for my upcoming exam.
    6
  9448. I’m trying to get into the pta program this year at ssc, and your videos and classes helped me a lot with the math section on the teas exam; thankyou for being a great professor!!
    6
  9449. Greatest country to ever exist❤
    6
  9450. Sir Make videos on Geometry . And also give some tips regarding Geometry.
    6
  9451. Nice work.. I love to see more proof videos.. Thank you very much..
    6
  9452. You literally just saved my life, I will be forever thankful for this.
    6
  9453. I learned proof 6 months again, but I feel like I forgot most of the material 😔
    6
  9454. Very wise words expressed in simple words. In my humble opinion Intelligence has various dimensions or aspects. So linguistic intelligence is very different from quant / numeric intelligence is very different from artistic intelligence. None comparable with other. Even mathematical intelligence or abilities vary across subjects areas - measure theory, functional analysis, linear algebra, calculus, ODE, PDE, Graph Theory, Number Theory, Probability, Logic, etc. None can master all. None is bad at all.
    6
  9455. I am a college student from India studying math on my own at the moment.... I might take some math courses in the future.... but largely rely on self-study from books with or without lectures to go with it.... The question I would like to ask you is.... Can you explain how to learn math (or any other subject for that matter) using more than one book.... Like do I read all the books and do all the practice problems.... or just read one book and do practice problems from all the books.... or a combination of both approaches.... or any other completely different approach? It would be very helpful if you could answer this question either in a separate video or in the comment section itself Your videos have been very motivational and supportive in the past.... and I'm pretty sure they will continue to be so in the future as well Thank you so much
    6
  9456. Must have read my mind! Just started a new job in programming and trying to skill up a bit more while finishing my onboarding tasks. :D
    6
  9457. I believe Mozart had the same problem, and he could put in a 10 hour shift when required. How else could he compose some 800 major works in his short span of only 35 years? See the movie "Amadeus"!
    6
  9458. Viendo tus clases me entran ganas de estudiar la carrera de Matemáticas, pero aquí en España no es buena idea por el ego de los profesores. Bastante inspirador e ilustrativo, y más en mi caso que estudié los libros de NCERT de la India porque las matemáticas de los libros españoles lo complican todo para que parezca más importante.
    6
  9459. You should spend your whole life on a math problem.
    6
  9460. thank you
    6
  9461. can you make a video for people who hate math and get bad grades
    6
  9462. They wouldn't be majoring in Math
    6
  9463. The greatest teachers are storytellers.
    6
  9464. When I took Real Analysis, I had to do it as a self study, as it wasn't being offered as a class the year before my graduation (small college, small population... upper level classes weren't offered every semester. They had an every-other-year schedule for a bunch of upper level classes. I took Abstract Algebra before I got to Analysis. Go figure). I had to see the instructor at a weekly appointment that lasted close to an hour and we would cover 2 to 3 sections a week. I ran through 3 5-subject college ruled notebooks for this class alone. I think I slaughtered a small forest for the class. If Greta Thunberg was alive back then, she probably would have burned me at the stake. I used the Bartle & Sherbert book, but it would have been nice to have something like this. Any way, it was tough, but I still got an A. Since I've left college, I've obtained 3 or 4 more Real Analysis books. I'll be adding this one to my collection as well. Thanks for the heads up.
    6
  9465. Talking of books, I highly recommend 'How To Think Like A Mathematician' by Kevin Houston. Well written with quite a dose of humour, and the best end-of-chapter and in-text exercises I've ever seen.
    6
  9466.  @TheMathSorcerer  Excellent video.
    6
  9467. Soviets and Germans are unbelievably so good in Maths and Physics
    6
  9468. Thanks ! Super helpful 💕
    6
  9469. This was only the second video of yours I've watched. Your kindness is particularly impressive; it's a strength commonly overlooked in teaching. I am going to share this video in the hope it will help someone. Thank you.
    6
  9470. The best proof technique is the proof by exercise to the reader
    6
  9471. if Bezos didn't switch out of physics
    6
  9472. Love ur math videos from india
    6
  9473. Take one of those courses or workshops on how to take tests. My GRE score was 50% better than my SAT was simply by learning how to make better use of my testing time. It also reduced my test anxiety greatly.
    6
  9474. You are a gem for us seriously i mean that ❤️❤️
    6
  9475. You have so many videos covering my classes. Ty again as usual. True sorcerer energy.
    6
  9476. The talented Maryam Mirzakhani described herself as a slow mathematician.
    6
  9477. Love you man from Bangladesh. You're very inspiring to me..
    6
  9478. Happy New Year! Greetings from Colombia
    6
  9479. Every day I sit down and think for 15 minutes, and reflect on what my goals are. I have high expectations of myself and want to accomplish my goals. When I think about the future I get motivated about how I can improve civilisation even if it's a minor improvement to civilisation ill be happy.
    6
  9480. I've had an unusual love for terse literature from a young age. I don't know why. It just gets me excited like it was xmas eve. When I was an undergrad I used to visit the university bookstore daily, just to look at everything available. In particular the math section. And though I was a statistics/actuary major I was particularly fascinated by topics in pure mathematics and logic. (My logic fascination was largely satisfied by a minor in philosophy). The many texts by Springer and Birkhaus would interest me as much as they'd frighten others. Since graduation I've taken on the study of topics in math that I never got as part of stats: analysis, topology, abstract algebra. Honestly, I buy more books than I have time to read. But I thought that I had a lot of books until I saw this video. Thanks for the reviews.
    6
  9481. i have adhd and can't listen in class enough to learn anything. if i don't get the whole picture, i don't understand at all and i can't spend 80% of a lecture asking questions. not to mention they sometimes use a language i don't understand yet, i'm in a different country. all this, i have to learn everything on my own or i won't get anywhere. while it's been great these 2 years of uni, i'm getting to the point where i just don't get it at all. this video was a great lifeline, thank you
    6
  9482. I didn't know Probability can be used in such way ! Thanks Sir for let me know about this . 😊
    6
  9483. I love this channel so much, thank you! I’m in college for pure mathematics right now, and it’s so refreshing to see someone with the exact same love and passion for math as me. It’s people like you who really push me in the right direction, and whenever I feel hopeless, you give me the strength to go on. Math is sort of like art in a way, except to me, it’s a theory on statements. What is true? What isn’t true? What’s sometimes true? How do we prove it exactly? I feel like the subject gives me life
    6
  9484. Well said sir! I was feeling very tired and demotivated today, I needed this. Thank you Also sir, can you do a buff problem of an Induction Hypothesis Inequality proof? Those videos are very interesting😊
    6
  9485. You forgot real analysis!
    6
  9486. The only thing I can do for 15 hours a day is watch Internet Sorcerer You Tube videos.
    6
  9487. I just convinced my friend to take calculus! Of course I will be there for him!
    6
  9488. I have never studied maths in any university, but I am exploring what branches of mathematics that students are studying in universities. Yesterday, just out of curiosity, I went exploring tensor calculus to see what that is all about. It is all new to me and looks interesting.
    6
  9489. your classes are great! you motivate me for studying for my undergraduate in economics in Argentina
    6
  9490. Is this the book you recommend for beginners in this subject??
    6
  9491. 11:25 I was going to mention you forgot to distribute the 3 when you're substituting the (2x-3)^(1/6) for z and when you're the doing the same for the arctan function.
    6
  9492. Nice Book indeed. Although Aluffi remains my all time favorite.
    6
  9493. As a EE I would have to say there are other, harder, degrees. Aerospace, biomed, maybe chemical come to mind. Calculus and diff-equ was required but only really used in the electromagnetics course.
    6
  9494. yay i am the first one to commen
    6
  9495. You win a Lebesgue integral. Go solve one problem of that
    6
  9496.  @Kevin.7.  I'm a noob afterall😭 And thank you for the correction I get confused because spanish is the 7th language I'm learning
    6
  9497. Keep minding your build and building your mind! 💪🧠
    6
  9498. Calculus.
    6
  9499. Calculus
    6
  9500. What do you think of James Stewart's book?
    6
  9501. Very helpful video, thanks so much. Have fully understood
    6
  9502. Sir you're a legend (and surprisingly funny ;))
    6
  9503. Thanks so much! Really helped and was the exact information I was trying to figure out.
    6
  9504. good advice. I am going to try to do 10 math problems a day.
    6
  9505. Thank you so much! I have been going back and fourth through my text and notes for HOURS and couldn't find an explanation for class width! Finally I decided to google it and found your video which made it very easy to understand. Thank you!!!
    6
  9506. I try to do everyday. It really helps.
    6
  9507. Great video! Thanks! Liked the way you signed out... "Go do some math!" Lol
    6
  9508. Sir before I loved Math, I was not really obsessed with it. I mean I would try to be obsessed with it but it would never work out, it would just remain for sometime, and then, the motivation would go away. My obsession with math came after I started loving math. For many people, as you mentioned sir, obsession is the cause of them being good at math, and them loving it. For me,it was the opposite, first I loved math, then became obsessed with it:)
    6
  9509. 1 video on IMO International mathematical Olympiad
    6
  9510. Prof, thanx, i really needed that, if You ever come to México i Will invite you some beers and a good dinner
    6
  9511. Apropos your third suggestion, I suggest you watch the YouTube video from Tibees titled "If you get bad grades, you need better friends." She is an interesting YouTuber with about half a million subscribers, and lots of STEM course-taking experience. It's 8:43 well spent.
    6
  9512. I would like to recommend you a math book but I think it's only in Peru 😅 The name translates to: Basic mathematics by M. Lázaro C it has some logic, functions,set theory, axioms and Math induction it has good definitions :)
    6
  9513. Usually those who are good in Math , cannot do absolutely nothing else , not even run
    6
  9514. I have this book...love it! Given the paucity of critical thinking these days....more important than ever👍
    6
  9515. Idk, I thought real analysis was pretty darn hard
    6
  9516. I'm the same your situation. Good luck for your graduation, I know it's hard but you can do it 💪
    6
  9517. Teaching math at a Community College, I had several students who panicked from adding time pressure to fear of math. Doing math by stopwatch never appealed to me. When I gave a test, I let everyone know that I would take them over to the library to finish if they needed more time. It was just as secure as the classroom, with me monitoring. It seemed to help some, and some expressed gratitude at being heard. That last part made me sad.
    6
  9518. Thankyou for your help! Math is so much easier with helpful people like you. It means alot!
    6
  9519. Some men just want to watch the world ̶b̶u̶r̶n̶ laugh
    6
  9520. I would agree with you since took many math classes and I'm about to take cal3, I don't considers HW is studying, beside I have this kind of feeling HW is totally different from the test and as you mentioned for the test you need to go back and review what you have done, personally I didn't revisit the HW problems while I'm preparing for the test.
    6
  9521. We want long videos as you talking ! You are a wise man
    6
  9522. you answered my problem set thank you so much you've been very helpful :-)
    6
  9523. Yes. I had that when I was learning biochemistry. I graduated with biochemistry degree 📜. Feel like achieved something worked in my field for 7 years still feel like an imposter. Started my own business in furniture now feel much less of an imposter. Really.
    6
  9524. I did each of these three 💀 No wonder I'm a 1.9 student on his 4th academic suspension...
    6
  9525. I remember solving this book in high school for my college entrance exam
    6
  9526. The real and only Gandulf, that puts some light on black magic - the Math
    6
  9527. Interesting. I learned calculus from "Calculus and Analytic Geometry" by Thomas and Finney in 1983. It looks like the 9th edition this book is still available new. Maybe the publisher split this into two different versions now? I also wonder why Finney isn't included any more.
    6
  9528. Coming out of high school, i was shit at mathematics. I barely knew how to work with algebraic equations and often made mistakes. Afterwards when i got to uni, where we had Real Analysis first semester, it got even worse. I'm in the 3rd year and i actually managed to bounce back. The problem was that high school left me with a phenomenon dubbed "learned helplessness". It turned out that i usually gave up on solving a problem before i actually tried, since i never developed the confidence in my math skills. You can see how this affects making proofs in particular.Took me over a year to figure it out. I've also noticed this same thing with some of my colleagues. So i disagree that some people just take longer. I think that like anything other people work on, luck of getting it right the first few times snowballs into a career. Check this for reference, this guy explains it well : /watch?v=3LopI4YeC4I&t=637s I think this topic of learned helplessness would be a fun video idea and would help a lot of students. :p thought id mention it
    6
  9529. I really do feel happy and do like this picture a lot of what your teaching and can relate to it a lot. Thank you
    6
  9530. Please make videos about how to study some higher level math such as measure theory, functional analysis, manifolds, differential geometry, etc.
    6
  9531. Also, I believe it was Mark Twain who originally expressed this idea!
    6
  9532.  @therelaxlead676  I am Nepali. I studied in a Nepali university - Tribhuvan University to be particular. But yeah, Nepal and India are indifferent when it comes to highly exam oriented study. Many of the teachers have degrees which they got after memorizing everything for exams and that's what they tried to teach us. Never made sense to me, ever.
    6
  9533. Bro you are the Math Sorcerer! Why are you making these basic math videos?
    6
  9534. What about applied Math?
    6
  9535. The more focused you are on a specific activity , and really focus hard , the better your mind works on that which you focused on while you rest later. Not me , science ! Great inspiring video as always :)
    6
  9536. I think math might be more like a language somehow. You have to kind of feel your way into it to understand it. As well as nobody learns a language by just knowing the words and grammar rules. If you learn a language you will evolve a feeling for what is right and whats wrong. It's alike with math I think. 🤔
    6
  9537. Crei que solo hacia videos de matematicas jajajja pero me gusta este tipo de contenido que haces es realmente epico
    6
  9538. Thank you for advice, I have my maths test tomorrow:)
    6
  9539. Thank you so much !!!!
    6
  9540. Great! And logic for absolute beginners?
    6
  9541. i havent taken calculus 3, but i made an average grade of 80-something in calc 1 and am currently sitting at an average grade of 99.3 in calc 2 two weeks before the final. the concepts are way harder in calc 2, but the difference is that in calc 2 you’re coming from calc 1 so you already have a decent foundation of calculus and how the basic concepts work. in calc 1 the concepts are so vastly different than what you learned in algebra that if you are like me you’re going to struggle initially, especially if your trig knowledge is shaky. so if you didnt do too well in calc 1 like i did and are worried about calc 2 because everyone says it is harder, dont worry, the only things you really need to have down like a pro are integration/differentiation and trig.
    6
  9542. You saved me from confusion, thanks. This video was crystal clear, and very helpful.
    6
  9543. Hey Mr. Sorcerer, Thanks for sharing this :) This proof is also valid for even integers, right? i.e. every even integer is a sum of three even integers. PS: I'm an amateur math afficionado. Your videos are really helpful and inspiring. Thank you :)
    6
  9544. @10:58 I thought I was the only one who thinks some books just smell great 😀
    6
  9545. I really like you videos on math and it is very helpful.
    6
  9546. I was just thinking how to fix it
    6
  9547. isn't is +/-2i
    6
  9548. I heard great things about two books in LA: Linear Algebra Done Right by Sheldon Axler, who also has an accompanying video series on YouTube, and Linear Algebra Problem Book by the legendary Paul Halmos.
    6
  9549. No reason to write down stuff that's in the book. But if the teacher works through examples that aren't in the book, you're a total fool to not take notes.
    6
  9550. Yeah, I homestudied for Algebra and Trig and started to study Calculus a few times but was always circling back to Algebra and Trig skills. So my classes with Algebra and Trig went really well. I mean to be a Math teacher and so I didn't skip Algebra and Trig because I knew them well enough. The Professors did teach me some tricks and the interaction was invigorating (My Professors would laugh at Math Jokes I'd make up and the rest of the class would be wondering what was funny). But when I got to new ground with Calculus I, well, it was hard work just to keep up and then there'd be a test and it was about quickly moving on. Yeah, I got an A (it was dicey for a while but I had a great Final), but I really needed to go back and take a second look at what seemed like a Blur Going By. To really learn it take more time than the college courses are willing to give.
    6
  9551. Thank you! I swear my university just teaches in tongues
    6
  9552. What an awesome explanation!!! English is not even my mother tongue (spanish) and i understood this pretty well. This is quite better than my current teacher's explanations
    6
  9553. This is like my math notes when I take em XD
    6
  9554. I'm amazed people discovered all this interesting stuff about e: it genuinely boggles my mind.
    6
  9555. Is he the big guy in Plants vs Zombies?
    6
  9556. Hi Math Sorcerer. I'm a graduate computer science student at Ohio University. I tutor student-athletes in precalculus, and I watch everything you post. Thanks for being so inspiring. I'll be here.
    6
  9557. Another book I see recommended absolutely everywhere for beginners is Abbott's Understanding Analysis. The review by the MAA calls it dangerous because of how good its exposition is. For something at the level of Rudin, I think Pugh's Real Mathematical Analysis is a really good book too (tons of problems, and even a section on visualizing 4D). I also recently came across the three volumes by Amann and Escher, and they're probably the most advanced set of introductory books on analysis available on the market. They do things in a top-down approach regarding abstractness, which is the opposite of how it's usually done.
    6
  9558. Yes keep doing it. Philosophically accurate math sorcerer this time around.
    6
  9559. Foerster book is popular with homeschoolers because it's very self-instruct friendly.
    6
  9560. Reasons why I like this channel: -20% Awesome practical tips -80% this guy stares directly into my soul and beats the mediocrity and laziness out of it
    6
  9561. I remember when I was in 9th grade, that was the time I started to actually understand math lessons. Before that, I was just copying cuz I'm too bored to listen but in 9th grade, there was a circumstance that literally forced me to understand, listen and just take it all in. Our math teacher was a terror, she was so strict, I literally tremble when I'm in her class, no joke. And to make it much worse, we had a sitting arrangement wherein I was the unlucky one who didn't have a partner in my table. All of them were all happy while I was panicked. 'What am I gonma do?' 'Who's gonna help me?' The tables were so far apart and our teacher's eyes were so sharp. So I had no choice but to force myself to understand and study twice as hard, which I never did before. Looking back at it now, I should really thank my terror teacher. There's really a certain situation that will push your brain and actually use it.
    6
  9562. Calculus 7 lmao
    6
  9563. For me any future grades I get matter, any grades I got today and yesterday matter, but all the previous grades do not. I go to college to learn something. Grades reflect how well I'm doing. However, sometimes teacher shoving you a passing grade and telling you what you all the things you did wrong instantly makes you able to do the thing better and get a way better grade, but sometimes you just don't have a chance at correcting your mistakes. For instance, I'm sick and pressed for time right now, I have to study for a lot of different subjects, and I just got a passing grade for one of my engineering graphics homeworks. I was there where the prof was grading the thing and he told me everything I could've done better. I could probably ace the homework now if I had enough time and energy to do it again, the grade I got isn't a reflection of what I know, but what I knew or assumed was the right way to go about the task. Another thing is it's easier to get good grades in your chosen subject depending on the teacher and what they require, so it's not only different between schools/unis, but within each school/uni. Not sure how it goes with employers.
    6
  9564. Thank you very much, you've just got a new subscriber!
    6
  9565. Could you please make a video about differential geometry textbook？
    6
  9566. Can you make a proof on any set of vectors containing a linearly dependent subset is linearly dependent.
    6
  9567. Agree. The only way to grow eventually is through service to others. Counterintuitive when framing it in the short term viewpoint but totally makes sense in the long term telescope. Thanks for sharing.
    6
  9568. I wish this was my abstract algebra professor
    6
  9569. The words I was needing today, came from an unexpected source. Thanks Sorcerer, the maths Gandalf
    6
  9570. This is hilarious! We need to see Stanley meet math Karen.
    6
  9571. I feel like I'm the only one who doesn't understand in my math class.
    6
  9572. hmm
    6
  9573. Glad to be a First viewer
    6
  9574. I'd like to see more videos similar to this one! It's interesting how you're exposing different branches of math...
    6
  9575. Both at same time. They are very complimentary courses.
    6
  9576. Ok, i never thought you were that jacked
    6
  9577. Awesome explanation! Well done!
    6
  9578. great book i am still reading it
    6
  9579. Nice explanation sir Thank you 😊😊
    6
  9580. what are your thoughts about people that aren’t great at math but want to become a math major? do you have any tips or advice
    6
  9581. That's amazing! Good luck! :D
    6
  9582. I 100% agree! If there's only one kind of things you have ever collected, it'd better be math books :) ( I am no collector per se, but collecting math books definitely helps me not worry about where to learn mathematics from. Instead I can just focus on doing as much math as I can, referring to books is not a problem!)
    6
  9583. Damnn, this is crazy, I was just feeling this and this video's notification popped up!
    6
  9584. Wizard, always keeping promises! Thanks 🙏
    6
  9585. From fonts to typesetting. A one man Adobe
    6
  9586. As a 17 year old. I definitely agree!!! My passion for maths sky rocketed after watching inspirational math movies and documentaries about NASA. And I got an A in my recent exam!
    6
  9587. Oh and I bought Baby Rudin for $2.00
    6
  9588. The struggle is making me cry 😭
    6
  9589. Why doesn't he blink?
    6
  9590. good content man. thanks for the help.
    6
  9591. Keep making these please!🙏
    6
  9592. Thank you so much. I literally couldn't figure out my x^8 but by watching this video I figured it out. Wish my prof actually instructed us on this stuff.
    6
  9593. update: this called me out!! i would be in class studying trig but i’d be thinking about solving integration questions😬😬😬😬 i never noticed that about myself until u just said it
    6
  9594. News flash Lars Ahlfors is the de-facto book to Complex analysis and the author also has the distinction of winning the first fields medal. Rudin series is good though if you want a fast path to advanced probability/statistics and stochastic calculus, perfect for smashing idiot quants in finance that waste time and can't make money.
    6
  9595. You have forgotten one possibility: the author doesn't know the answers 😀
    6
  9596. About being lucky, you have to be prepared to accept your luck
    6
  9597. Dude, your channel has prompted me to get into algebra again, thank you 🥺 also, do you offer any programming courses?
    6
  9598. Handbook is actually a semi-loosely defined category used by publishers (depends on the publisher), that leans more towards a reference guide. But I like your definition better !
    6
  9599. I had recommended you to review this book in the last video. Thanks a lot.
    6
  9600. Best video on this hands down
    6
  9601. Amazing editing:) I would recommend you try Minecraft, it's such a chill game
    6
  9602. My guy, thanks for giving me suggestions for PDE. Hopefully I ace next semester.
    6
  9603. I am a mathematics education student. on my campus this is called real analysis. I learned it in semesters 5. Thank you sir for the video. I hope there is a translate into Indonesian. And i love all of your videos 💕
    6
  9604. Your fears hold you back. You say your anxiety holds you back and you claim being smart. Maybe it is a harsh thing to say but.. If you are what you claim to be, simply do not let fear and anxiety hold back. But how? Understand yourself better, your fears and causes of your anxiety as well. Know thyself is the saying. It seems to me you are your worst enemy at the moment. Nice clichés huh? The reason you not to act, basically "I don't do homework.", is that you think ahead of your time. You fear the incoming step where you do your homework but despite of that you still fail once again. So a potential possibility of the future, a bad case scenario holds you back. That fearful future has not yet to come, it can be altered. And that's your not ego. Telling that "it's my ego", is your ego. Which's feeding you lies to console yourself. Your ego is broken, it is hurting you, fix it. Ego should truly take care of one's self. Be what you claim to be. Step outside of this endless loop. And as the Sorcerer says, "just do it" and enjoy your trip. I am being intentionally harsh because I think you needed this, but I'd like to point out it's not malicious. I hope you the best Christopher, and good luck.
    6
  9605. I really hope that youtube starts pushing these as recommended videos.
    6
  9606. Here are some of my favourite complex analysis books (not that anyone asked): Ash, Novinger - Complex Variables Conway - Functions of One Complex Variable I Spiegel, Lipschutz - Schaum's Outline of Complex Variables Needham - Visual Complex Analysis Lang - Complex Analysis Bak, Newman - Complex Analysis Priestley - Complex Analysis Stewart, Tall - Complex Analysis
    6
  9607. I'm going to share this with my students, Math Sorcerer. There's some really sound advice here.
    6
  9608. i sent this video to a couple of friends that had that negative feeling towards math, "im not good at it" etc... even for me, this 1st semester, i took my first ever class for analysis and it was so alien and i struggled so badly i was up at 3 am on the nights where assignments were due cause i didnt know how to do it.... thoughts went through my mind, "im not good enough for this", "do i really enjoy maths'"? " maybe i should quit and take the eassier class" etc etc with lack of sleep it not a fun experience but if you continue strong and never give up, you can do anything
    6
  9609. You live such a virtuous life
    6
  9610. Literally just having you walk through this with me I just realized how easy this was. Thank you so much
    6
  9611. I mean... I don't know. I don't believe that most cheating is done by people with nefarious and ill intentions. These people can be competent, or interested in their field. I think it's done by people who feel as though they were given no other choice, just like how you felt you were given no other choice than to give your student a 0. I don't think they could be consoled out of it, because the truth is when something feels so bad that you can't stop thinking about it, it fills your days with anxiety. You will do whatever you can to cope with it. I'm someone who didn't cheat in any exams or tests, so there are differences in my experience. Despite this, I still feel failed by my school, which led to me dropping out. The classes that put me on academic probation were not classes I would have performed better in through tests-- it was core public speaking related courses. Despite these differences, I can understand how thousands of dollars and months or years of your life being on the line can make someone feel as though something has to give. Especially if you have taken on debt through loans to get this education. Imagine the sobering reality that a bad grade on your final would mean you'd have to pay even more money that you don't have. It's all you would think about. Even if you spent the last weeks or months studying, if the idea was planted in your head that you could just bring in an extra note and hide it and rest assured you could answer a problem you struggled with, you might not be able to get that idea out of your head. That doesn't come from malice. That comes from real, raw desperation. It may seem obvious that cheating will only make the situation worse. I more/less agree. But when people are in situations like this, they are highly motivated towards a positive action (doing something about it). Studying, cramming, or cheating, this same twisted motivation to cope with your stress can make you do them all. Both professors and students seem to suffer because of how higher learning is designed. Humans like to live by each other's happiness, and want to see each other succeed. The business side of College really seems to be the source of all this conflict.
    6
  9612. Wow, Sir! I suddenly miss the physical lectures and university life while watching your videos. I hope that this pandemic ends soon so that we could go back to the normal setting where the fun, exciting, and interactive lectures happen. You're a cool professor. I wish I could be in one of your classes. Greeting from the Philippines!
    6
  9613. I own the same edition. It was my first abstract algebra book. <3
    6
  9614. So this is the infamous calculator I've seen you use in your new calc one lecture series on Udemy. Great calculator. I have both the ti 84 plus CE edition and the ti 89 titanium. I use the ti-84 mainly because the screen is lit up and it takes usb charging. I like the split screen mode on this, where you can see the table and the graph at the same time. Good stuff. Ti-89 has its uses as well. I used it mainly for taking derivatives and integrals. I plotted some de field lines as well as solving some matrices.
    6
  9615. What's beautiful is that this theorem is actually a special case of the general theorem (Generalized Stokes Theorem), which, in turn, is a generalization of Fundamental Theorem of Calculus to higher dimensions.
    6
  9616. C O N V E Y O R B E L T. Lmao
    6
  9617. You are indeed a sorcerer
    6
  9618. Calculators are a tool just like what tools a contractor uses to build a home. My opinion is a student should know how to do the calculations on paper first then once they know how to do the calculations then use a calculator. This is a side note. I go to a store and hand an associate a $20 bill for a purchase for example $9.10 cents. Back in the day when we had the old fashioned cash registers you would take the $20 and count how much change to give back to the customer. Now we have cash registers that will display the total amount we need to give to a customer. I have in many instances helped the associate how to count the amount of money. I know it's elementary math but my point is if you don't know how to do the calculations then learn this first on paper then after you mastered this use a calculator. Sorry for the long winded example.
    6
  9619. He described it so much better then my math teacher!
    6
  9620. I HAVE ALREADY THIS AWESOME BOOK, REALLY IT'S AMAZING. YOU ARE A TRUE MATHS ❤️LOVER, I ADMIRE YOU FROM DEPTHS OF MY HEART. LOVE FROM INDIA.
    6
  9621. Lot of help
    6
  9622. Thank yoy for reguiding me, I was in the middle of a YouTube rabbit hoke when your new upload shifted me back into focus. Hope to solidify my skills in Pre-Calc before I start AP Calc in September. Good look to all those learning math!
    6
  9623. I went to the wolfram alpha page and copy and paste the tittle and there you go...besides giving the answer it gave some nice plots of the integral too...I mean...is it important to actually do it..or to know that when you take the derivative of an antiderivative you get the function back.
    6
  9624. Thanks for the idea; I'll be sure to offer to clean my math teacher's home on Tuesday at 6!
    6
  9625. this is becoming less of a problem for me as time goes on but a small thing that helps me get back on track during exams or while completing hard assignments is literally copying the question I need to answer in a separate piece of paper. It's dumb but it helps me focus on the type of answer I need to give. This is specially useful for my topology assignments for some reason lol.
    6
  9626. You give good pieces of advice! Thanks!
    6
  9627. One of the Dover books that I like is Hans Sagan's book on the Calculus of Variations. There are other books that are dedicated to the subject, but I found them lacking in rigor and clarity. Sometimes topics from the Calc. Of Variations are treated in cursory fashion in, say, physics textbooks, where one can get the impression that the subject is ad hoc. I read a while ago the novelization of the movie Charlie, which was based on the sci-fi story Flowers For Algernon. I was curious what the author would have Charlie Gordon studying when his brain had reached its peak IQ. One of the things was he was studying the calculus of variations. I guess that was the author's idea of the most advanced mathematics possible. I don't remember the other things Charlie Gordon was studying, except for grammatical subtleties in the Urdu language.
    6
  9628. Thanks. Good find. I'll scope for your old video.
    6
  9629. amazing video, I have been watching a fair amount of your set theory proof videos and I'm really starting to understand it all. Thanks!
    6
  9630. I’m sad because I couldn’t enjoyed as much as calc 1 because the pandemic everything is online and the method that my professor used to teach wasn’t great even though he’s very good
    6
  9631. Thank you for this video
    6
  9632. Congratulations and I hope that you are successful and enjoy yourself the whole time!
    6
  9633. SET THEORY??????!!!!!! I SO FRICKEN LOVE SET THEORY!!!!!! Thanks for producing this video on those two books!!! :) :) :)
    6
  9634. Hi and thanks from peru!!
    6
  9635. Wow fantastic to see another book review, sir I have a request for you, can you kindly aplod courses for topology andotermathmati braches and teach them to s
    6
  9636. I’m going through book of proof right now. I am enjoying it so much for self-study I wanna take PDEs, so I may refresh my ODE skills form that other book! Btw, I like ur hair!
    6
  9637. What an insane video to watch just hours after taking my second differential equations exam. I am not sitting well in the class and I really need to do well or else I could be academically dismissed. Since my first exam I have completely changed my lifestyle to focus more on school. There has been a lot that I have discovered within that span of time that’s helped me significantly, but this video has summarized almost everything I’ve learned, and hearing it all again is a comforting reassurance that I’m doing the right thing. Thank you.
    6
  9638. I just took Precalc final, and I think back to the rest of the semester and you helped so much to end up with an A. Maybe you didn't teach me math directly, but your inspiration allowed me to actually try in spite of a bad teacher and vague homework. Thank you so much for all of your insightful tips about math videos.
    6
  9639. Hello! I am new to this CH and I just subscribed because i'm 27, I have 3 lil one that push me to become a better for them. I've been chipping away at general ed in college and now I am facing the math part of it. I am completely nervous but determined to learn math as it will get me into a career that I will be fulfilled with be a part of. Thanks for this video as it gives me some motivation to learn math and keep learning what math is all about! thank you!!!
    6
  9640. Jeff Bezos with hair is a wise man
    6
  9641. I don't even have a shelf. All my books are stacked up on my dresser and desk. lol Love the collection, massive respect. (bows) I'm not worthy lol
    6
  9642. ... or from trying things out yourself. Learning from that is a very valuable skill and is pretty much the only thing that works once you get to the cutting edge.
    6
  9643. Hello, I recently bought Marshall Hall Jr's group theory book, how good a choice did I make?
    6
  9644. 5 out of 4 people think that anecdotes are evidence, and that 10,000 anecdotes are data.
    6
  9645. You know I never had a math teacher like this... must have lucked out
    6
  9646. Problem is not in the math; problem is in the trade business itself, where it is very difficult to assume anything based on what you are told by the lead players in the market. Just when you know that your assumptions about the market are good enough, some surprise proves you wrong. The stock market lacks the scientific honesty, so science is of little use to it. The biggest problem with stocks is it’s vulnerability to trading activities. More buys raises the stock value, while more sells drops it. A good stock is one that reflects real growth in the company, not mere inflated faith based on trading activities.
    6
  9647. Don't forget to look through the Salvation Army and Thrift Stores. They can be pennies on the dollar, are in surprisingly good condition and many of those books will likely be from former students of local colleges and universities. I have found materials from East Carolina, from UNC Wilmington, from local community colleges etc. I have acquired a full plastic tote of books for less than thirty dollars total from a couple runs to various thrift stores and the Salvation Army. I also still have my Sullivan Algebra and Trig book, which was used for College Algebra and pre-calc at Johnston Community College until the fall of 2010.
    6
  9648. sometimes i feel like most math books are written by autistic ppl, i don't know how else to describe this mix of pretension, boring language and total lack of empathy for the reader. i know the subject itself is extremely different, but some authors succeeded in making super hard math accessible, like jay cummings' 'real analysis', tristan needham's 'complex analysis' and john stillwell's 'algebraic number theory'
    6
  9649. I'm preparing for Korean sat and I had math anxiety issue And I agree with you When I was kid my mother abused me to study hard And I had low self esteem at highschool I seriously consider to drop out of highschool because I'm not a person who is special So I didn't studied at all... After graduation I played video games all day long and used internet I started to study again because I want to go to college and be semiconductor designer in America I felt math anxiety much at first And I still have some of it But now I know if I don't stop asking questions and being curious about math problems I'll get answers "eventually" Ps. I like your parrot! How he can stand still without flying away?
    6
  9650. when you spend 20minutes trying to figure out why your answer is slightly different; passing over your steps, then mine, then yours, then mine, until i finally see a mistake, only to let the video play 30 more seconds and have you realise it. rip.
    6
  9651. @1:50 aha! So sometimes you use pen! Do some mathematicians use pen and no pencil?
    6
  9652. Love your excitement! We need more Wizards!
    6
  9653. I'm going to say something similar, but word it differently. 1. Do you have the teachers solutions manual or are you going by the odd answers in the back of the book? True story, bought an out of print Calc book I didn't recognize at a yardsale and the very first answer in the first chapter (review of algebra) was WRONG. Pity the student who beats their head trying to come up with that answer! 2.In most math books every chapter starts with "What you will learn: 1,2,3,4. At the end of this chapter you should know or demonstrate knowledge of these things: 1,2,3,4. Go back and read them! As you are looking at each section it may have some things highlighted, in sidebars or whatever. This is what the questions at the end will be about. They assume you learned the previous chapter, so those skills could be needed too, but the excercise will be to show that you grasp THIS section or chapter. Most math books are organized the same and the chapters even have the same titles. Your bookstore may have previous edition. It will be the same (usuay) as the newest edition, only with different problems and errors that haven't been fixed. If there's 25 problems to solve in one, there will be another 25 in the other, different. Now you have double the problems to practice with. One more thing. Unplug your TV and ps5, Nintendo, Xbox, cancel your Netflix, etc. You don't have time for all that nonsense if you want to study math! :)
    6
  9654. Thank you! Quick and to the point
    6
  9655. Wow, this helped me so much. I felt so broke recently because I am a math major and its not so easy for me now, when I am taking higher level courses. So thank you. That’s exactly what I needed to hear
    6
  9656. Any to cast spells? Just dropped my Calc 2 course, finna retake it but I could learn some spells in the meantime
    6
  9657. Here, in Brazil, we have great math books that are extremely cheap, like 5-10 US freedom buck, so nice! I've bought a number theory book, geometry, analysis, combinatorics, and arithmetic.
    6
  9658. Thank you sir. Where can i get practice questions related to this topic?
    6
  9659. Some vids on multivariate calculus would be great :)
    6
  9660. what a great teacher. Im so jealous
    6
  9661. My teacher sent me here
    6
  9662. Off the subject thought. I wonder with this Coronavirus stuff, if there will be a reduction in international students, particularly from China, in graduate programs at US universities. This would mean a loss of millions in tuition, but it might mean it would be easier for US citizens / instate residents to be admitted to graduate programs, like PhDs. I remember meeting a grad student from Libya when I was in college back in the '80s. He was on a "free ride" from the Libyan government, as long as he kept his grades up. Everything was paid for up front, in cash. We had lots of international students back then from countries hostil to the US. Countries who hated our guts, but we're sending students here to major in stuff like engineering, math, chemistry, physics, and so on. And of course, we were happy to ablidge.
    6
  9663. If what you posted is accurate, then you are describing a dire situation. When I went to grad school several decades ago (physics, Canada), then funding was available at all levels. Not guaranteed, mind you, just possible, although much of it was TA work. There also the problem that a PhD program is much harder than a Master's program.
    6
  9664. This hit waaay too close to home 😩😩😩
    6
  9665. I am guessing before the end of the video. He will say practice/Do homework at least one of one of the main things to get an A. And maybe talk to professors and T.A's in office hours is another.
    6
  9666. I did not know that I was actually smart.
    6
  9667. Problem for me is a make simple basic elementary school mistakes while I do the harder concepts pretty well (assuming I learned them good enough lol)
    6
  9668. is this sphere center in origin (0,0,0) ??
    6
  9669. That was amazing Ty I searched up this coz I forgot
    6
  9670. This is very timely for me. Thank you so much!
    6
  9671. He's definitely a bibliophile--in addition to being a math sorcerer.
    6
  9672. thank you very much. I am never actualy gona use this but i need it for school.
    6
  9673. I am starting 8th grade tomorrow online and I have been watching your channel from quite sometime. This video is what I needed and this is probably one of my personal Favourite videos of yours.
    6
  9674. "Strange math you've never seen" aka "what I see when I look at the exam"
    6
  9675. I have been feeling down about not being good enough at math. I do not want to be behind in my major. I LOVE math but I am not always "good" at it. Your video(s) have inspired me to continue and try more and more and I am getting better bit by bit. :)
    6
  9676. I just love that image of a dog rolling around smelling the grass and us rolling around inhaling calculus. It’s just perfect. Since my dog always follows me wherever I go, maybe he’ll inhale some calculus too. 😅
    6
  9677. Success = Talent * Effort^Focus + Random Events. Effort and Focus are in one's control. Talent is revealed by the application of Effort. The second term can take on positive and negative values: life is like that.
    6
  9678. Great list! I’m a current math undergrad, and I love collecting older textbooks, so I’ll be on the look for these!
    6
  9679. First!
    6
  9680. Let's go old school. HP41CX
    6
  9681. Fun fact: half of us who are watching are here for same reasons
    6
  9682. I want to learn Number Theory, but I am studying Functional Analysis etc but hey, you are right! Once you do a master then you can pretty much explore anything by yourown
    6
  9683. Math Sorcerer, you should make videos of interesting historical math events that u know.
    6
  9684. Hey Professor, I took Calculus 3 and Differential equations with you a couple years ago. Glad to see you are doing well! Your videos are still helping me out to this day haha. Also you are really blowing up on Youtube, which is fantastic, you are an amazing teacher! Keep up the good work :)
    6
  9685. I love you man! Know why? Because you are making me so excited to engage in mathematics which I was always afraid of~
    6
  9686. I'm digging Visual Complex Analysis by Tristan Needham. This one looks good though.
    6
  9687. The question of ‘why’ actually really helps. Sometimes you would rather just chill than do work but when you realise why you need to put in the work, it can really motivate you.
    6
  9688. You look abit like Jeff Bezos
    6
  9689.  @TheMathSorcerer  I personally have a theory. I think mathematics is, at essence, a set of analogies and metaphors. The more you're aware of those particular metaphors/analogies of those particular math subfield, the better and/or faster you would excel in it. To be aware of those metaphors/analogies, you need to know more ' 'stuff' or deeper. There's basically two ways to that. 1st Method: You think of these analogies/metaphors through personal experience, which may include visiting new unknown places, putting yourself into novice situations that compels you to conjure up new ideas to get through it. Speaking of conjuring up things, Mathematics is an extremely creative field, to excel in it, you basically have to cook up things that's almost totally disjointed from everyday experience like nothingness, unity and infinity (0,1 and ∞). 2nd Method: You get these analogies/metaphors from others, which may include, reading books, listening to others, watching movies/tv shows, listening to music, get to know other cultures and their peculiarities, observing other animals while they do their everyday thing, etc.
    6
  9690. Budak's sons happens to be my Calculus professor (in a Chinese uni lmao)
    6
  9691. Ah yes, that was one of the Calculus book I used when I was an undergrad: Apostol, Spivak and J. Stewart (Early Transcendentals).
    6
  9692. I am like the turtle of the story if the race: I am cultivating a mindset of preserving regardless of my limitations. Eventually I will cross the finish line.
    6
  9693.  @TheMathSorcerer  yet*
    6
  9694. The crazier that hair gets the more math I feel I'm going to learn from just being in your proximity.
    6
  9695. I topped in college in my graduation securing first class Mark in Math, though, I was an Ass then. Love you from India. Thanks.
    6
  9696. Love it! You are the best!! PS Please avoid using the microagression "you guys" Some alternatives: everyone, you all, y'all, everybody, e'rybody, all you mo' fo's, every one of you children of ****/Adam/Satan/enoch
    6
  9697. Yes an exponential probability density function with mean theta=1/3
    6
  9698. you're like Jeff Bezos but wayy nicer and smarter and he actually knows what the cosine is this time
    6
  9699. thank you
    6
  9700. While proof books are a great approach for demystifying symbols, a more direct approach (especially for engineers) is to pick up a copy of the small book "Mathematical Notation - A Guide for Engineers and Scientists" by Edward Scheinerman. I originally picked this up for the same reasons ;).
    6
  9701. I'd heard the recent graduates 'knowing nothing' practical claim too. But I personally chalk that up to interviewers being ignorant of what graduates are bringing to the table. Sure, most comp-sci grads are not going to know linux-admin skills, and are not going to have git (version control) experience, in general, and will not be up to snuff with most debugging techniques and so on. Math grads might know how to construct hidden markov model algorithms, BUT likely won't be able to quickly work out how to apply it to the financial market datasets in use at the company. There will almost always be a learning curve and anyone thinking otherwise is just naive. And I see 'naive' a lot.
    6
  9702. Videos always good man, thanks a lot. :)
    6
  9703. Calculus ptsd!!! 😭😭😭
    6
  9704. I also think that the general high school level of mathematics is higher in other countries. Also I do think if you really commit to going to grad school in another country, you would only do that if you are very tallented or motivated, hence generally in the top of the class.
    6
  9705. im a 10 year old trying to learn this stuff ;--;
    6
  9706. So you've made a big progress. I agree that the art of proving is beautiful. however the fun begins with structures like groups and rings.
    6
  9707. Why'd the chain rule get all the love? What about the quotient rule? Or disk and shell?
    6
  9708. There are far better smart people than any of us. The field medals for example. But should we get frustrated by it? No. Mathematics is a way of life. There are always gifted people that teaches us the right path. Let us thanks OUR lord for such individuals that makes our carpentry of mathematics a really beautiful discipline.
    6
  9709. Of course it’s worth it! I’m doing Abstract Algebra online and it doesn’t feel so efficient with online learning!
    6
  9710. THANK YOUU!!!
    6
  9711. Well, I loved the video. I just want to leave one last advice: you must have a No Quit mentality. If you follow these advices, trust me, your life will change for the better, but expect to become much harder, because we essentialy don't like to change, and changes hurt, but when it does, remind youself of the advice of remembering why you are doing what you are doing, and just trust the process.
    6
  9712. WHAT?!? I do Algebraic Topology in my sleep! (in my dreams I mean :P)
    6
  9713. uff absolute masterpiece, y'all i got 49/50 ,thank you so much sir
    6
  9714. I proved that there are 2^n subsets in a set using permutation-combination and binomial expansion of (1+x)^n by myself out of curiosity without knowing that it was already proved sometime earlier. 😗
    6
  9715. I find the American higher educational system very confusing, with all your different types of schools, colleges and universities. Is a masters program at a graduate school different from a masters program at a university? Because here in Germany, there are only research universities and "Fachhochschulen". The latter typically don't do research and the curriculum is very practice-oriented, while curricula at universities are more theoretically-oriented. But either institution does both bachelors, masters and PhD programs and apart from the difference in focus on theory / practice and research / teaching there is no difference between them and the degrees they offer. Not all institutions offer master’s programs for bachelor programs they have or vice versa. But you do not need to go to a specialized "graduate school" to do the masters, if your institution does not have a program for it. You simply go to a different university or Fachhochschule. The system in the US seems a lot more convoluted. Also, masters programs here are ordinarily not so much more difficult than bachelors programs. In some cases even the opposite. Bachelors tend to be very theory heave and masters very practice oriented.
    6
  9716. I find more writing in old books. It's my belief that students didn't have as much paper many years ago.
    6
  9717. What does version 2 mean is it the same as version 1 or i have to watch both of them because i will start this course tomorrow and yeah i should know pls
    6
  9718. Calculus, Advanced Calc, Linear Algebra, Differential Equations, Number Theory, Abstract Algebra, Topology, Analysis.
    6
  9719. That upper chest though
    6
  9720. Few days back i have see a talk by H Furstenberg. He worked in ergodic theory and dynamical systems. He talked about steiner lehmus theorem. He told that when he was a kid he tried to prove that theorem and he struggled for three weeks to solve the problem. If he told everyone that he had proved the theorem in one hour people will believe him as he is a top mathematician. People will believe in whatever he claims. But we should appreciate he spoke truth. This quality makes some people extraordinary.
    6
  9721. Hello^^ so excited for another vid from you ❤
    6
  9722. Here we call squeeze theorem as sandwich theorem
    6
  9723. ❤ from Kashmir.... 😊🥰🥰 U r a living inspiration for me🥰🥰🥰🥰 How can I contact U ❤.....
    6
  9724. It is gratifying to experience the love you have for your books. Vous cultivez l'amour du savoir .... pretty rare ....
    6
  9725. Great Video Math sorcerer . Can you give some advice about finance, accounting or business-math related . Something about Data Analytics, data science, actuarial maths.
    6
  9726. I am now enjoying the exciting and inspiring books about the history of math , "The History of the Calculus and its Conceptual Development (Carl Boyer)" and "A Concise History of Mathematics (Dirk Struik) " , "Elements of the History of Mathematics (Nicolas Bourbaki)" , "A history of abstract algebra (Israel Kleiner)" and others, these books are giving me a background of math and a perspective bird's-eye view !
    6
  9727. thanks a lot for your words of encouragement, it help me to move on and to do more. wishes some numerous days to come maybe learning will be based on individual weakness to be spot out then delivery the solution to fill up the gap of understanding the core idea. maybe later in the future technology will help teachers to know well each student, in order for a teacher to be able to do that (new ways of teaching).
    6
  9728. Goldberg‘s Real Analysis was one of my many intermediate stages on my way to Functional Analysis and Measure Theory so I appreciate your presentation of this textbook. 😎 ☺️
    6
  9729. Common Core.
    6
  9730. I am in my last term in college. I do double major in computer science and economics. I have no interest in going for higher education. If I return 4 years ago, maybe I wouldn't go into college in the first place. It was slide reading simulation. Everything I learned, I learned them from books and internet. College did nothing for me. It was waste of time. Huge scam. And the college I study is one of the best college in the country.
    6
  9731. I managed to go to the toilet instead of doing it in my pants
    6
  9732. Hey thanks! I don't know if I speak for everyone but as a beginner in proof writing one nagging doubt I have is "how much is enough?" When books write proofs, or when professors write them, the written word is almost always skeletal and accompanied with verbal commentaries, like you said, to save on writing so much. But as a student who submits a proof (say, as part of a test), how skeletal can the written portion be, considering whoever grades the work won't hear you speak, for it to be mathematically complete?
    6
  9733. I'm currently using his "Developmental Mathematics for College Students" to build out my fundamentals. As someone who is self-teaching, the thing I love about Blitzer's work is that he includes all of the answers for the Review and self-test sections in each chapter. However, I'm not sure if he does the same in the more advanced texts (e.g., College Algebra and Precalculus.)
    6
  9734. Thank you positive influencer
    6
  9735. I don't understand why everyone can't draw. All you have to do is be able to draw a line to draw anything. I have no respect for IQ test. Sorry. I would suggest not taking a IQ test. I don't think there is anything to be gained from it. I also believe after someone has taken a test x amount of times that the person can no longer be tested accurately because the person has memorized what to say and do on the test. I don't like how schools divide children up based on IQ test, aptitude test, or those end of the year tests. They label the kids based on those tests. The y put kids labeled college bound in classes together, and kids they don't think will ever go to college in class together. I also think teachers judge kids based on whether they are labeled college bound or not. I believe teachers make no effort to teach kids that are not labeled college bound.
    6
  9736. Very helpful
    6
  9737. Congratulations! You definitely deserve it!
    6
  9738. Delightful video! "e" is a "red-carpet celebrity" for sure. So many intriguing roles; it's the Nicolas Cage of the number line. 👌
    6
  9739. Hi, I'm currently close to graduating with my degree in applied mathematics and this was a great video. I had just written a proof for this problem that took up an entire side of a sheet of paper; your 4 line proof was a bit better though haha. I hadn't thought at all about the definition beforehand so I essentially just rewrote my same proof twice with more wording haha. Thanks so much!
    6
  9740. The best part about an “or” statement. Only one ☝️ needs to be true. I sure miss proofs. 😁
    6
  9741. I actually got into mathematics from physics. After learning quantum mechanics, for example, I really started to love modern algebra, especially group theory, and operator algebra. I am trying to develop my mathematical background as much as possible while I'm still in my undergrad, so that I can understand nature at a fundamental level. I like this quote by Stephen Weinberg: “There is a spooky quality about the ability of mathematicians to get there ahead of physicists. It's as if when Neil Armstrong first landed on the moon he found in the lunar dust the footsteps of Jules Verne.” On the other hand, I think mathematics makes theorems about the universe more elegant.
    6
  9742. I think that deep understanding of a subject makes doing problem easier So i think that deep understanding of a concept comes first then doing problems is second , Is that true?
    6
  9743. 1st view!
    6
  9744. How much success have you had? if you don't mind me asking, I've read a book on investing that says trying to make financial patterns fit math is a fools errand and it's just better to go with obvious stocks that will do better in the future
    6
  9745. I didn’t send the email but this describes me for sure
    6
  9746. If you're going to fight in the rain, train in the storm.
    6
  9747. Also remember education should not be a race. If you want to learn math, go as slow as you need to even if that means taking one math class at a time. Colleges usually charge you per credit and not per semester so it is okay if it takes longer.
    6
  9748. A mentor (at least in my case) is someone who gets you ahead, whereas a tutor helps you if you are behind.
    6
  9749. What do you think about Artin's book?
    6
  9750. is this book really good ??
    6
  9751. Depends on how passionate you are about the subject. But math grad has to be harder than a lot of other majors.
    6
  9752. Thank you sir, for all what you do! Big final exam coming up in a couple days. failed it before but studied much better now🤞🤞
    6
  9753. I learn about taxi cab on this book more than in taxi companies.
    6
  9754. Self education is much more authentic and effective in compared of being forced to it.
    6
  9755. I'm finishing Modern Algebra this semester. I'm excited about Modern Geometry next semester!
    6
  9756. I love that the Math Wizard is now swole AF in every video
    6
  9757. agreed! My father, a retired civil engineer and former math/physics teacher is a true minimalist. I know where my mindset has come from!
    6
  9758. I got the book but in Spanish but it looks like it's smaller in English.
    6
  9759. People who quit math were said to be dead by paul erdos.
    6
  9760. An older Sears and Zemansky was my sophomore physics in 1972. Found a first edition in an old bookstore. It was a great book for a hard course; fortunately I had equally great profs and managed a solid B. Needed those 2 semesters of freshman Calc to do it.Thanks for the review.
    6
  9761. I am from Ecuador too! You are becoming popular here hahaha
    6
  9762. Springer next?
    6
  9763.  @TheAAZSD  Wow, I wish I understood the math needed for Knot Theory. I'm trying to self study math and physics. Best of luck to you with your work in Knot Theory =)
    6
  9764. I have this book on my shelf! I'm glad to see that I'm not the only one who appreciates it! 🤓
    6
  9765. talito plays 2 hours a day on complex analysis. Anything else just burns the fat.
    6
  9766. Where do you get all this books??
    6
  9767. Thanks so much, I have an exam on this tomorrow and this was a huge help. Keep it up!
    6
  9768. I plan to get this down the road because I'm working on re-teaching myself the very basics and then teaching myself high-level maths like calculus and stats (which I've never taken) and who knows perhaps even beyond that. I've always been afraid of math and very timid with it, I did take business math in college and got an A in it but it took literally almost studying all night long in order to do that. I've always struggled at math but I admit I did not have the best background in math, my teachers would put us up at the board and do these math relay races and it always took me so long to get to the answer and I'd get teased a lot and therefore, I learned to become afraid of math. But I really want to learn it and overcome my fears, when I finally understood a concept, I really enjoyed it. I also love the sciences and I know maths is a huge part of them. Thanks for all of your videos, they are so helping me to approach math without not as much fear as I've had in the past, they're helping me to see that math is fun and although challenging at times, but enjoyable!
    6
  9769. you have to be a special type of person, psychologically
    6
  9770. Was looking for a textbook for my Real Analysis Independent Study! Just the video I needed
    6
  9771. this video has motivated me to do my homework
    6
  9772. It was (FoG)(x). It helped, though.
    6
  9773. Took calc 3 in a summer: very blissful and pleasant experience. Tutored calc 2 in a summer: pain incarnate.
    6
  9774. Wizard, I know you talk about textbooks but any favorite calculators asides the mind?
    6
  9775. Senior year math major here. Even after many years of solving problems/theorems I sometimes get stuck and spend hours trying to understand a particular concept, so that's how math is, it doesn't discriminate between beginner intermediate and advanced. You shouldn't get dejected, quite on the contrary you should enjoy when you get stuck since it's an opportunity to rebuild your understanding of a particular concept/topic
    6
  9776. Halmos has a wonderful book on Linear Algebra through problems, much like this.
    6
  9777. …… title is super dramatic, i am relieved:face-green-smiling::face-green-smiling::face-green-smiling:
    6
  9778. great video completely understand thank you
    6
  9779. Dude seriously you need to publish your biography! The history of math is littered with child prodigies--but a high school dropout who becomes a professor of mathematics?!?!?! YOU NEVER HEAR ABOUT THAT!!!!
    6
  9780. Need motivation to study Math? Go make your own computer game WITHOUT a game engine (you may use OpenGL) in your favorite programming language. A 3D game. With physics. With realistic lighting. You will learn a lot even if you don't finish the game. And if you finish it, the it's a thing to show it at your job interview.
    6
  9781. It is very popular in Brazil also. Bur here its divided in vol. 1 and vol. 2. Vol. 2 starting with differential equations.
    6
  9782. This is the sign I'm going straight to the gym and then, programming time!
    6
  9783. haha my question is how you making this seem simple and interesting...THANK YOU SO MUCH for the help
    6
  9784. Self-study is hard, but that's what also makes it so rewarding. You'll have to find ways to be your own disciplinarian such as doing each and every one of the problems at the ends of the chapters, finding other textbooks with more problems when you want or need them, until you know you have it down solid. Having an important reason to learn the subject in the first place really helps too. I'm studying a subject called Optimal State Estimation to learn about how to build Kalman Filters. The book goes into more depth than will be needed for the application I'm working on, but it should also open up more doors to solve problems I haven't yet gotten to. Without self-study skills, not possible. Looking at the work of all of the greatest mathematicians and scientists throughout history, what I see as their most distinguishing characteristic is their ability to self-study. Thanks!
    6
  9785. Hi from university of Auckland
    6
  9786. Me entering in the examination hall remembering that you yesterday replied to my comment and feel even more confident !!
    6
  9787. I had so many ill advices when I was applying for grad school. It was like asking the road to mount Everest from a blind man. "Just do whatever research you will find a job later" was the best ill advice I've got. Though I got admission to a program, it screwed up my career later.
    6
  9788. this is actually the first book i ever bought
    6
  9789. If you don't mind, I'll give you a script, just a suggestion to be a God of Calculus, but this will take 6 hours in total, including the break. One chapter a day (no less, no more) Preparations: Get a clean table, with nothing on the table (NOTHING), an empty table, not even dust. Put only three things on the table: book, pen and a stack of clean sheets of paper (preferably paper without guidelines). Don't put anything else on (no laptop, no cell phone, no rubber, no watch, nothing else). FIRST TIME (1h30min) Objective: Read the entire chapter 2 times. - Reading 1: Do not waste too much time, try to have an overview, understand the central ideas, do not get caught up in details; - Reading 2: This time read everything again, writing down relevant things and highlighting things that were not clear. Visually follow the examples, step by step and if you don't understand, write it down. A better level of understanding is expected, but doubts are normal. REST (30min) Drink water and take a light walk (do not run or gasp); (Forget TV, Videogames, YouTube etc ...) Just a walk, water and a LIGHT snack. SECOND TIME (1h30min) You now have a reasonable understanding of the chapter and have some doubts. Now, focus on the key concepts and redo all the examples on paper without looking at the book (only look if you get choked). Make sure you understand the items you did not understand previously (write down the things that are still obscure). Don't waste time rereading everything, just focus on remaking examples and try to understand the things you marked in the second reading. Summarize key concepts using non-technical words, something that even your neighbor would understand. REST (30min + 30min) Walk more water in the first 30 minutes. Then, search the Internet for concepts that still have doubts. Eat something energetic. THIRD TIME (30min) Make all the easy problems you get within 30 minutes. Do it right on paper. Don't be sloppy. Then, take an itervalo not less than 5h and not more than 7h. FOURTH TIME (60min) Make as many problems as you can.
    6
  9790. I've been struggling with this issue for a while. I'm finishing off a math major and I've been employed in a role which requires statistical modelling. Problem is, I've never enjoyed statistics and the kind of stats I really need to know to do my job properly (principal component analysis, ordinal regression, multinomial regression, etc) are things I neither enjoy, nor find intuitive despite doing really well in the other math units I've taken in my degree like group theory and topology. It's a massive problem, for a person who enjoys maths, that statistical modelling is the branch of stats/maths that is overwhelmingly represented in the workforce and if you happen to not enjoy it while being good at other types of mathematics, your only remaining options are teaching and academic research, which unfortunately don't really pay the bills for most people.
    6
  9791. I'm a first year colleague student, I want some books to set me up my sire
    6
  9792. We both used Saff and Snyder and Fitzpatrick.
    6
  9793. Yeah, and another reason is to somehow get in touch with the ancients thinkers, like Euclid , Archimedes and so on. To make part of this paradise of possibilities and freedom. Maybe I sound too much romantic, but It's for real.
    6
  9794. One point about cheating that I believe you missed is that. If you cheat in college you are cheating yourself out of knowledge. you are paying hefty amounts of money to take the class and if you fail to pick up what's important that can allow the student to be unprepared in the future. It hurts the cheater to cheat more than they realize and will inevitably become a problem somewhere in the future if it isn't confidently addressed.
    6
  9795. Henry VIII liked being a Tudor
    6
  9796. You are the unsolved problem of mathematics :)
    6
  9797. This dude seems like a great teacher.
    6
  9798. Thank you so much! I was having so much trouble understanding this, and you explained it so clear and I fully understand it now! =D
    6
  9799. I completely agree! I feel like I should of had more textbooks, more resources when I was doing my masters to prepare me better for a PhD program. I just felt very overwhelmed in my 1st year for not knowing enough math to understand advanced concepts.
    6
  9800. wow this person hearts so many comments, let's see if they heart this one
    6
  9801. I don't like math that much but after seeing him i totally changed now math is my favourite subject!!! Thank u sir ❤
    6
  9802. My break for work is doing math in my free time
    6
  9803. The best part of being a math grad student is when your professors give you homework problems and they don't show you how to do it and you don't know how to do it, but then they somehow expect you to be able to do it.
    6
  9804. Thinking of pulling an allnighter to study for an entrance. Should I do it chat
    6
  9805. Your videos are always a masterpiece. Hats off to you man!
    6
  9806. Thanks for normalizing not understanding everything in class. It probably sounds dumb, but I never knew that was normal. I guess I was always lucky, or never took a hard class. I’m taking chem 101a in an 8-week summer course after not having done chemistry in 10 years, and I only understand about 25%-40% of the lecture. Nearly panicked and dropped the class a couple times, but then I remembered I’m learning, and that’s what it’s like to learn something new. I haven’t dropped it, and still have an A in it. I still don’t understand the lectures, and the new material hasn’t gotten easier. However, I can always do last week’s material well, and I’ve gotten better at handling the discomfort and anxiety of not knowing. Even the math sorcerer doesn’t understand everything the first time around, and that’s comforting.
    6
  9807. No Geometry? I heard that traditionally everyone in college had to study Euclid's "Elements."
    6
  9808. Let me share to all of you one of my best phrases: "a dumb but happy person understands life"
    6
  9809. i just found your channel, i just want to take a minute to say that some of your most recent videos have really been making me feel better about my situation as a struggling student trying to get through my engineering degree. I really admire the way that you speak, thanks for making these videos.
    6
  9810. Pretty sick
    6
  9811. did you ever reveal your name?
    6
  9812. Why does the Thumbnail look like you’re gonna make us a college offer we can’t refuse ?
    6
  9813. Iq is a pseudoscience developed in the 19th century inorder to classify races and establish superiority of a particular group. This may sound silly to a lot of people but that's true. A lot of research was done thereafter and till this day, we do nkt haveee a proper unbaised definition of iq. We lack behind a lot in neuroscience, but we are making progress to understand the brain. Till now, if someone asks tk define iq, it will go something like this, "ability to think critically under a given system, with a set of constrains, without prior knowledge of the system, such that, you are able to solve a problem in that system (optimal solution will be great), and any system so to speak".
    6
  9814. To be honest, I rarely read math books. I always do all the exercises relevant to my course, at least once over, and then usually again a couple days later to refresh my memory. Instead of reading the background information about the section, I just take very careful notes during lecture, and often watch multiple lectures on YouTube. I find that learning from many different perspectives really helps me to understand the subject better, and thus retain the knowledge longer. I also scour the internet for all the practice problems I can find, and compile them into a doc that I reference before exams. I guess I'm more of a hands-on person, because I only actually read the section about 1/10th of the time. Maybe it's an inefficient approach, but it helps me to actually enjoy math, and that's worth the loss in efficiency for me as of now.
    6
  9815. Again, an excellent video --- so much so that I have passed it (along with a pdf copy of the book) to a friend who teaches University Mathematics to students who slept through math in high school. I think she will really like it! Thank you!
    6
  9816. OMG!!! I have two separate editions of George Polya's HOW TO SOLVE IT!!!
    6
  9817. First viewer ❤
    6
  9818. I'm the first person to comment! Please reply
    6
  9819. Agreed. I really hate it when people start leaving because it starts getting so loud I start losing focus, or freak out because I'd think I don't have much time left.
    6
  9820. Damn, that was far easier than I thought... just applying the chain rule!
    6
  9821. "I really don't worry about your progress as much as that I walk out of the lecture looking like a genius which is so freakin next-level that you simply cannot understand my excellence"
    6
  9822. ❤❤❤❤❤
    6
  9823. Thank you. This really help.
    6
  9824. Watching this while reading general relativity for exams...MATH DEPT FTW
    6
  9825. Did he go meta and used the system the book explains to write the book itself?
    6
  9826. I would personally recommend Linear Algebra and Its Applications by Lay for beginners to linear algebra. The way Lay builds up the understanding of more difficult concepts like vector spaces and geometrical interpretations by early introductions to things like Span in chapter 1 and how he builds up this more abstract concept through concrete, simple applications early on is a fantastic way to help students transition from the more computational side of mathematics they are used to into the theory-based, definition-driven abstract mathematics.
    6
  9827. ¡TE AGRADEZCO MUCHÍSIMO! ME SALVO
    6
  9828. Thanks so much super clear !
    6
  9829. You forgot one - ask a classmate! As a physics student I used to find typos in published journal articles all the time and it drove me crazy!!! - still does!
    6
  9830. yes, exactly it is not the same book!
    6
  9831. Better not to try to relitigate the issue with this prof. Just be sure you know how he wants you to proceed on test 4. Finish the course, because you have invested 3\4 of the semester in it. The rest of this advice was good. Don’t let your age be a deterrent. I was pushing 40 when I went back to do my sophomore year. I finished 3 degrees , had my dissertation published, and taught history for 15 years before retiring. Here’s the math on all of that: When I started back, I had half of my life ahead of me. I’m 82 years old. It isn’t over until………🙂
    6
  9832. Greetings Mr.Professor, Thanks for the Insightful Words Masters is Mastery of Subject while PhD is complete devotion to Subject. Good Overview about Grants for Academia involving PhD. With regards, RanjithJoseph (R.J)
    6
  9833. Loved every minute of this video. As a mech engineer I can say I lived the same experiences. But it worth! Thank you!
    6
  9834. If you search for "Rudin Analysis" here on Youtube, there are a couple of good playlists of video lectures that follows the book closely. However, I have not yet encountered anyone that covers the later parts of the book (Chapters 8-11). It would be awesome if someone did though *hint hint*... ;) In particular, Ch. 9 was a highlight in my analysis course, in which Rudin covers the inverse function theorem and the implicit function theorem amongst other interesting results.
    6
  9835. Alot of topics clear by your YouTube video... Thank you for this great effort to make vedioes for us...
    6
  9836. Yesss!! I was looking forward to this video! Thank you very much :) Recently I have been discovering a bizarre thing happening to me. ( I actually enjoy learning math!!) I am a student with some learning challenges, but I also have some virtues. The most important virtue is not to give up, especially in education. When I was a child, many classmates, teachers, and even family members said about me, "stupid and never would achieve any education." However, Long story short, here I am, a student at the University of Toronto. This fall semester was my first semester, and I got A/A+ in all my courses. Including math! Where math was something that I didn't want to hear about. What made this change? I Stopped believing what was said about me and give myself the freedom to discover knowledge. Actually, I asked for this video because I have some basics I need to review. Thank you very much, Math Sorcerer!!
    6
  9837. Need singularities and residues after this, great content
    6
  9838. I literally did that and saw your comment so now I will watch the vid
    6
  9839. I am in a similar situation, retired and going back to college after 30+ years. When you look for used textbooks, see if you can get either the Student or Instructor solutions manual. Most textbooks have the answer in the back of the book, but usually the solutions manual will have a few of the steps to solving the problem. In the beginning, this will help especially when self-learning, after a while when you can do the problems on your own, the solutions manual may show you a different method to get to the answer. I took a Calculus I class before re-taking Algebra and Trigonometry. I struggled but got through it. I feel taking the Calculus class helped focus me when I took the Algebra/Trig classes. I ended up acing Calc II and III.
    6
  9840. Thank you for doing so many examples. I think I understand it now.
    6
  9841. Math Sorcerer: I want to respond to something you said about going to college to better your life. I have not one but three college degrees and work as a Security Guard patrolling floors. A degree is not needed to be a guard. Why work as a guard with such an impressive educational background? When I find the answer, I'll get back to you.
    6
  9842. First year math, I cannot study because I have to deal with assignments that are due tmrow..
    6
  9843. Sir can u make videos for multiple integrals..questions based green theorem, stokes theorem, gauss divergence theorem.. hoping for comprehensive videos on these topics as these things require good imagination and teachers hardly teach them in detail.
    6
  9844. Just started dynamic programming in my regular classes. My previous probability,calculus knowledge helping me to understand easily.
    6
  9845. We didn't have a proof class when I went to school. It would have made life a lot easier for me.
    6
  9846. This video is one of the funniest i've seen... the writing was good but also the way they were acted out 😂
    6
  9847. Looks like such an interesting book. I wish I could get books like these because whenever I resort to online pdfs i get distracted by youtube or videogames. I struggle finding these books in bookstores and i refuse to buy from amazon since i think they are an evil company and i dont like to buy things online in general.
    6
  9848. 2 questions... how did I end up here and why is newton talking about math?
    6
  9849. Thank You!
    6
  9850. You have no idea how much you are helping me right now. Thank you so much for All of your content. I am able to understand everything instantly. Keep doing what you are doing!
    6
  9851. First you're told dy/dx is not a fraction, but then suddenly the math professor proceeds to do stuff like f(x).dx = dy and you're like wtf?
    6
  9852. Love from India
    6
  9853. Dr. MS, I think that ANYONE who appreciates math books and the math that is in them will truly appreciate Dover math books and have at least a few of them in their possession as I have! I've got LOADS of them in my personal math library, :) :) :) :)
    6
  9854. HEY!!! I've got that book in my private math library as well!! Many thanks for all you've done, Dr. Prof. MS, in the services of math, the love of math and the dissemination thereof!!!
    6
  9855. Awesome! I've always been interested in maths but never loved it but your lectures made me love it because of the enthousiastic way you teach them!
    6
  9856. Subtitulos en español, por favor.
    6
  9857. Sir! What a video! I'm just checking calculus again and I was struggling I those concepts. Thank you!
    6
  9858. You just saved my life. Thank you!!!!
    6
  9859. All of the Math books that I come by cost more than a few $$ lol
    6
  9860. I'd like to see a video from you relating stock strategies to use of the "harmonic mean" in calculating arbitrage opportunities. I learned about that while studying for a Financial Math Actuarial exam a few years ago. It was a short single page example on sports betting, and when I dissected the calculations the harmonic mean formula came into play. It was used to accomplish two things: 1. Normalize "winning amounts" for all competitors the player bet on to make player indifferent to who wins. (E.g. 2-horse race where $100 is split into 2 betting amounts with one amount for each horse, and either horse yields winnings of $120.) 2. That singular outcome value was "favorable" in that it is higher than what the player started with. ($120 > $100) This is apparently possible whenever the harmonic mean for the set of betting odds values (for all included competitors) is greater than the # of those competitors. (H_n > n) In an oversimplified 2-horse race it boils down to: Is the 'product' of the betting odds of both horses greater than their 'sum' ? If yes, math can be done to decide the betting amounts to put on both horses to make the player profit regardless of who wins.
    6
  9861. At 78 yrs +, I'm a bit beyond excuses but I didn't learn math, but trying again, I reckon will be good for my mind, so I ordered the book.
    6
  9862. please make a book on what notebooks/sketchpads/tablets you use to write out your problems! thank you for your channel sir! :)
    6
  9863. Outstanding upload Professor.
    6
  9864. amazing video!!! 10/ 10 all day!!!
    6
  9865. Dear Evans, One piece advice of from my side don't think maths as subject for solving only problems think as that you are understanding the world with the most precise way of thinking. Solve physics problem if you stucked in mathematics and if you have stucked in physics then solve maths problem vice-versa. I always do that when I feel bored in learning topic I always think how it connects to real life problem like finance, data science and physics etc. Edit: Don't think that learning maths and physics require some kind of extra brain no it just require most desirable passion I mean the peers in your college maybe give extra time then you but neither they are ahead of you nor you are ahead of them. So just chill and enjoy maths.
    6
  9866. we should teach our children that the most important reason to study math is that it is an exercise in logic. they may never use math directly but the benefits will permeate all facets of their lives. unfortunately, math is not a vaccine against irrationality.
    6
  9867. Doing calculus work right now and this made me tear up! I'm always super hard on myself when it comes to my classes, especially calculus, so this was super nice to hear.
    6
  9868. I'm surprised to hear someone think the exercises in A First Course in Calculus are too easy. There are definitely fewer exercises than in books like Stewart, and whether fewer exercises is a good or bad thing is up for debate I guess. But I found the exercises (and the exposition) to be quite a bit more sophisticated than in most books aimed at the same audiences, with a focus on big ideas and guiding students to derive useful expressions, rather than on drilling. And it does more drilling than any of his other books I have looked at. It isn't as hard as Apostol as is, but if you leave out starred stuff in Apostol they are basically the same other than that Apostol includes a chapter on differential equations and some (very) basic complex variables stuff. I have the most recent edition of A First Course in Calculus (5th, published by Springer-Verlag), so maybe this was different in an older editions.
    6
  9869. Interesting! Please do a mathematics for economics book🙏
    6
  9870. I love this advice because this also applies to the professional world after you leave college. Be prepared before you come into work by covering what you did the day prior, and surround yourself with people that also care about improving, learning, and working as a team.
    6
  9871. I used to play video games for enjoyment. I still think it‘s fine and cool, but for me they lost their excitement at some point. Now I‘ve taken interest in math, and here I am reading books and doing problems, with a graphing calculator and a pen in my hands instead of a gamepad or a keyboard/mouse combo. At first I thought, how is this possible? But then I accepted it and just enjoy math the way I used to enjoy games and I buy books instead of gaming things. It would be helpful to enjoy math while still at school, but now, at 33, I don‘t have to do math and maybe that lack of pressure is the reason I can enjoy it. I even think that if I was forced to play some particular video games and get graded for it, I would hate games with the same passion with which most people hate math.
    6
  9872. Euler is actually pronounced "Oiler", like you suspected. Euler was from the German part of Switzerland, and in German "eu" makes an "oyy" sound.
    6
  9873. Teachers need to get out of the dark ages and stop making students solve problems by hand.
    6
  9874. what university did you do you bachelor/ master/ phd if you don't mind me asking ? also when you say advanced calculus do you mean like analysis ? like sequence limit theorem differentiations properties of real numbers and all because my school " advanced calculus" is just a multivariable calculus class with no proof just calculus in 3 dimension and people at my school said analysis is the hardest course ?
    6
  9875. Mathing
    6
  9876. Great and Every Intresting class to learn D.E .I like the way of Teaching. Thank you very much sir
    6
  9877. Another good college Algebra book is Elementary and Intermediate Algebra by Bittinger, Ellenbogen and Johnson. I have the 2nd edition but it is up to the 5th, probably not much difference given the subject. Not as many color pictures as your example, but I find those distracting to me. I never took algebra in college, I did take a precalculus class at my junior college between 11th and 12th grade and trigonometry in the spring semester in college since I graduated a semester early from high school so I was lined up to start Calculus the following Fall semester. I think I learned a lot of algebra in Calculus that I had forgotten from high school because most of problem solving errors in Calculus are algebraic errors. We didn't even have graphic calculators back then, lol.
    6
  9878. this is ballin
    6
  9879. One interesting way the Casino stacks the deck is by limiting bet size. . .
    6
  9880. Bro thank you so much for recommending this book. I've been grinding Algebra, Trig, and Geometry for a while and still have some work to do, but I was eager to learn Calculus and starting reading this book. I love it. such a good read so far. Cheers!
    6
  9881. Lmao I didn't know principles of mathematical analysis was called baby rudin... guess I still have a long way to go :P
    6
  9882. I'm sure you could easily find some real-life mathematicians with conspiracy theories about the Federal Reserve. 😆 (Note: I'm not a fan of either conspiracy theorists nor our profoundly undemocratic Fed.)
    6
  9883. He doesn t teach numbers that he can't lift
    6
  9884. Sir can you make videos related to application of matrices.
    6
  9885. With All respect “BUT” you gave a very silly reasons. Remember Euler got his famous formula when he became a blind.
    6
  9886. Professor Dad jokes!
    6
  9887. I failed math throughout high school. I took a different path in life and let go. My kids somehow became naturals at math. It's because they worked alone on it. It was their own path
    6
  9888. Yo that lawnmower sound got me tho.
    6
  9889. I 100% agree with the first part, but think of Feynman, one of the best theoretical physicists of all time. He allegedly had an IQ of 124 or 125. If that is true, you can make breakthroughs in science without a stellar IQ.
    6
  9890. I would take this guy's class in a heartbeat
    6
  9891. Thank you mate!!! I do really needed this video. Actually I have this problem. I want to practice my math skills but don't find time for it during the day.
    6
  9892. Hands down, the Anton book is really good. It prepared me not just for Linear Algebra, but also Differential Equations (I AGREE that Chapter 4 of the book is 👌).
    6
  9893. You really do live up to your name mate
    6
  9894. This is my textbook for the semester and my best friend right now! Well the shorter version with the first 9 chapters
    6
  9895. I am looking for book review 😭😭😭
    6
  9896. Nice vid
    6
  9897. Could you do an overview on the courses you took in graduate school?
    6
  9898. Thank you so much for this video. I didn't get a solid foundation for Math at school. A lot of the Math that I didn't understand during high school makes a lot of sense to me now when I do self studies. I was confused where to start. This video is so valuable.
    6
  9899. Bruh,this is exactly what i have to learn now in highschool!!
    6
  9900. these videos are excellent. a simple math problem solved with clear explanations. please upload more
    6
  9901. This was way too easy... I know i'm not the smartest person, but I doubt this was the actual test... (maybe practice?)
    6
  9902. Yoked arc starts now 🦿🦾
    6
  9903. have you ever thought about picking up Classical Mechanics- Taylor, Introduction to electrodynamics - Griffiths, and introduction to quantum Mechanics - Griffiths? they are the 3 main books undergrad physicists use if the plan on going to grad school
    6
  9904. OMG, just doing some random browse in youtube and suddenly there's Rob Halford talking about mathematics, amazing.
    6
  9905. You are fab🌸🌸
    6
  9906. I love Rudy, epic movie ! Love this channel, love your views !
    6
  9907. It’s pretty obvious when you’re doing long computations with like 20 steps and all your steps are identical with identical mistakes.
    6
  9908. Call me old fashioned but I like sitting down with a book or a magazine.
    6
  9909. Thanks professor ☺️
    6
  9910. so what are some good books for beginners on logic and proof ?
    6
  9911. Sir, you look a bit like Jeff Bezos (i am not insulting you).
    6
  9912. This seems also a great book for mathematical statistics. I also recommend 2 books, one is "Statistical Inference" by George Casella; and the other one is "Introduction to Mathematical Statistics" by Robert V. Hogg. I think they are also good for beginners. In addition, would you recommend some book for "Stochastic Calculus", "Stochastic Modelling" ? I am planning to study these topics, hope you may give us a book review for these topics.
    6
  9913. James Stewart? Yes please
    6
  9914. Sir do not worry too much! Just be cautious sir, and do check out ways to improve your immunity. We students and teachers have to interact with many people, so we cannot avoid public places. The best we can do is improve our immunity and pray to God! Best wishes sir!! Our prayers are with you
    6
  9915. Here's another Dover Book recommendation for you "The Philosophy of Set Theory: An Historical Introduction to Cantor's Paradise" by Mary Tiles. No exercises. This is a book you READ.
    6
  9916. I’ve gone through many books on systems programming,but never heard of this one. I’m 100% going to pick up a copy. To me learning how cs has evolved is essential to becoming a better programmer
    6
  9917. Love this 🙌🏻 my Calculus III instructor was good, but I took his class in the summer, so he had to skip a lot of vector calculus stuff. Unfortunately, that led to some confusion/frustration in the future, when I took Physics II, and PDEs I & II
    6
  9918. When professor gives questions that make no sence
    6
  9919. A Linear Algebra text from MIT that isn't Gilbert Strangs? Interesting.
    6
  9920. Try teaching yourself higher dimensional mathematics from home, we deserve 2 degrees 1 being our math degree and another being a degree in self teaching. I swear the teachers that suck at teaching in person, when you add zoom into the equation everything falls apart
    6
  9921. something I'm finding I hate with a passion is when the book can't seem to decide if I should know the reason behind a formula or not. I was panicking because I didn't know why simpson's formula alternated 4 and 2 but apparently I didn't need to worry about it, it just Does
    6
  9922. I like it. Keep it up!
    6
  9923. 2:01 My math teacher for my post-AP course literally just said this
    6
  9924. As one of the people who got it faster, All I did was ask the teacher over and over again for examples, explanations and tips. After 10-15 examples, if you analyzed commonalities between problems and any intricacies that can change the output you will understand it.
    6
  9925. My next challenge is to code a quadratic factorization algorithm, and test it on 100 digit numbers.
    6
  9926. I'm a mathematics teacher. This is fantastic advice, and everything said so very true. If I can add to your great points I would say that 'practice' is vital. Practice often. Mathematics is a language, and the best way to get good at a language is to practice and use it as often as you can. Mathematics isn't something that you can try leave then return to after days and days of no practice or exposure. It's something that needs to be continual. Thank you for your upload.
    6
  9927. Never been able to keep updating my collection because book prices are higher relative to those 5-10 years ago. I have the first edition of "All the Math you Missed..." printed in 2002. The 2nd edition added chapters on elementary, algebraic and analytic number theory as well as category theory.
    6
  9928. You make Great reviews on Math books and not only .. and this one is indeed an Epic Classic... also most of the books for other languages took the Exact same title like: The C++ programming language (Bjarne Stroustrup) , The Java programming Language (from the great James Gosling) and the like ... all those books were written by the Creators of the respective programming language. So one can say even the Title became a guideline, a kind of "TradeMark", to let readers know the book is a Reference Title on that programming language and made by the creators of the language. Note: 😀 You're forgiven on the jab about Engineers using only pen ..not pencils ... that was tacky ... the engineering world wants to tell you that Engineers use Both Pencils and also Mechanical Pencil ! Or Those Rotring Multipen things ... ok ?
    6
  9929. I cannot agree more math sorcerer. You choose whether you can do it or not!
    6
  9930. I think that cleaning physical space helps to clear out our mental space so that we can organize our thoughts and learn/understand more.
    6
  9931. I have rare disease that makes me unable to think for long and because of that I'm very poor at exams, I can't do them well but my mind adapted to such condition and it uses flashing thinking, instead of wasting time growing result of understanding it saves a lot of data from the environment and then compiles into supersmart conclusion. And this is why self-study is the only the only way to go, also, trying to make something new always requires research, even if is in the territory of well known knowledge.
    6
  9932. Great video. Thanks 🙏
    6
  9933.  @TheMathSorcerer  please make a review on openstax if possible :)
    6
  9934. Wow this makes so much more sense now !!! I had a similar problem on my homework and was stuck! Thank you so much great explanation
    6
  9935. does math ever get outdated as far as information and techniques
    6
  9936. THIS IS WHAT I'VE BEEN WAITING FOOOOORRRRRRR!!!!!!!
    6
  9937. me after reading title: WAIT... MATHEMATICS HAS ENDINGS😳
    6
  9938. I’m in the last year of my math degree and I’ve taken most of these classes, but because of my actuarial science minor I’ve taken a math course on interest theory, one on financial derivatives, and one on actuarial models instead of topology, complex analysis, and discrete math. But yea I completely agree with you on how difficult the mathematical statistics and real analysis sequences are, by far the hardest classes I’ve taken
    6
  9939. Wow, you speak spanish perfectly😮
    6
  9940. "Analysis of Numerical Methods" by Eugene Isaacson and Herbert Keller (Dover) is another good read.
    6
  9941. Wow I came across to this conclusion some days ago! Planning gives you more motivation since you see clearly what your objectives are and that's pleasurable, imagining acomplishing your goals. There is no magic in starting, one thing that can keep you motivated is breaking down the objectives into smaller goals, for reading a book for example, set goals to read chapters or skim the book and write out the hard theorems in a paper. Then just start doing it, the hard part is beggining, as soon as you start you'll get the pace easily, and the more you do the more you get motivated once you're seeing your paper with objectives being filled! Nice toppic, it's good to go to the youtube everyday and see a topic most peopel suffer but most aren't aware about the root of the problem! Most of these videos have been useful to me, keep making the videos!
    6
  9942. Absolutely love your videos, I recently started believing in myself, but it's hard to keep those high hopes all the time, getting these comforting words can really brighten your day, thank you very much!
    6
  9943. This video is old but I just came here after sitting here awake at night worrying about my future im failing algebra in 9th grade and I feel like my life is over if I don't pass this algebra class
    6
  9944. In Europe the level is pretty similar. However in France they have really good mathematicians as they do preparatory classes for the “grand écoles” especially polytechnique and normale supérieure (who only take 30 students per year on the whole Student population) who have produced the most field medals in math in the world (joint with Harvard)
    6
  9945. Unfortunately, I've never been able to make the whole "focus on learning, the grades will follow" philosophy work for me. I think the reason is that I'm unusually unproductive. In order to pass a course, you need to produce a minimum amount of work for the instructor to grade. I struggle to do that, despite the fact that teachers and my students are often surprised at my sophistication. On tests/assignments I show up for/complete I'm always at or near the top of the class, but my rate of completing work is abysmal ~60% (up from lower, so at least I'm improving). As a result, I've turned to self-study to supplement my education. Now, my actual knowledge is 4-5 years ahead of the curriculum, and still struggling to pass classes and move on to the next ones. Currently, I'm studying ~second-year(?) grad school topics like Algebraic Geometry, Algebraic Topology, Homological Algebra, and Harmonic-/Functional Analysis--I'm learn these topics (and learnt previous ones) at a standard high enough that I can easily do the problems I'm given years later when I finally take the associated course without reviewing any of the material I learned years earlier. So, I'm left wondering why I even remain in college--the answer is that if I drop out, then I'll actually be a high school drop out, because I went to uni before completing high school! I'm fairly well-off, financially, so I probably won't die young à la Abel, but it's looking more/less impossible for me to get into a good graduate school and pursue the academic track at this point. Who knows, though? Maybe I'll figure it out and turn it around; I don't think it's too late for that yet.
    6
  9946. LibGen all the way!!
    6
  9947. Really cool. I realy want to tutor when I go up to uni soon. I'm pretty confident with algebra, geometry, but man once I get to trig and the calc all over its kind of scary, I got the AI to pretend it was a student consulting help and I did pretty well.
    6
  9948. I am also a 40 year old Chris who is back in school. I am pursuing a CS degree with a Math minor. Its not easy and quite challenging at times. Its worth the work and it is never too late to go back. Just get used to talking to young people from time to time.
    6
  9949. An entire semester of me never understanding how to do these problems and guessing on them every single time. Untilll now! Thanks so much!
    6
  9950. Euclid famously quipped: "Sire, there is no royal road to geometry."
    6
  9951. Start a full real analysis course
    6
  9952. Great video, great books! Thanks for sharing! I have a 7th edition of "El cálculo" by Louis Leithold.
    6
  9953. Why are the book review videos getting more view's than other videos
    6
  9954. That's a piece of cake for Flipino High school students
    6
  9955. Thank you so much for the steps it really help me out on this type of problem
    6
  9956. The solutions manual for this book is sold as a separate book starting with the 4th edition.
    6
  9957. I have no idea what's going on but I just love watching your videos! Great content as always!
    6
  9958. Amazing explanation! That greater than substitution trick is quite nice!
    6
  9959. Two open sets to check: the whole damn Y and nothing. Preimage of the whole damn Y is the whole damn X, which is open. Preimage of nothing is nothing, which is open. We win
    6
  9960. Can you start differential geometry?
    6
  9961. Love this channel, it motivates me to learn more mathematics. I work as a programmer during day and self studying mathematics at night! Thanks for the free content
    6
  9962. I spent FOREVER looking for a video that explained these problems well enough for me to understand. This was perfect.
    6
  9963. Thank you so much 🙂. Book perfect ! ! 😍
    6
  9964. THANK YOU SO MUCH THIS TIES EVERYTHING TOGETHER
    6
  9965. I love your videos from Egypt 🇪🇬
    6
  9966. Thank you for the video! This explained so much better than my teacher in class much faster!
    6
  9967. Yes
    6
  9968. So I'm going to have more than 4 million people in my sample with cluster sampling xD, thanks for the great video.
    6
  9969. 1st
    6
  9970. I love ur upload schedule 👍 🥳
    6
  9971. Okay so we're missing the next part... WHERE IS IT MISTER MATH SORCERER PLS SEND HELP
    6
  9972. Wow nice book, Love from India ❤❤❤
    6
  9973. Just out of curiousity, what did your application to grad school look like (gpa, relevant courses, research experience, etc.)? I know you mentioned you got into a tier 1 school, so Im just interested in what you actually did to get into such a good school. Thanks.
    6
  9974. I remember I had a saying that goes like this the lecture is one kind the recitation is of another kind the exam is on another dimension go figure
    6
  9975. why does this man never run out of ideas hahaha you're superman! :3
    6
  9976. Do a video on all physics books please. Some dover books are not good because of the font such as thermodynamics and statistical mechanics by landsberg.
    6
  9977. Judge me by my size do you? Size matters not. For my ally is mathematics.
    6
  9978. I wish if studied this course with you
    6
  9979. You look like Jeff bezos I’ll believe it
    6
  9980. A very enlightening video about the career prospects of a math major that includes time for research, and also on how to get there.
    6
  9981. u have over 1000 views n no comments... but u still rock bro, this vid helped a lot thanks
    6
  9982. When I did my first proof I definitely felt like a big shot 😆
    6
  9983. I've had an organic chemistry professor who was so amazing, she made organic chemistry so easy
    6
  9984. Good
    6
  9985. I was inspired by you and bought some math books of my own. I ended up picking up 2 books by Morris Kline including Mathematical Thought from ancient to modern times (all 3 volumes!) Have you checked out that book before, I’ve spent a few weeks reading the first one and am refreshing with his calculus book before continuing into more of the second volume
    6
  9986. After my undergrad, I worked for 12 years in financial markets. Now I'm back doing graduate school part time at 37 in a discipline that requires lots of math. I was always a good student when I was "young", but I'm even better now. I love this channel. A major source of motivation. Thank you very much for these videos.
    6
  9987. I am not able to understand anything 😅😅 because I am only 15 years old but one day I will complete this book :)
    6
  9988. 😊 thank you for this!
    6
  9989. bro isnt just good at maths 💀💀
    6
  9990. Bruh
    6
  9991. Awesome
    6
  9992. You've great experience in math. That's what I came to know. Keep uploading 💜
    6
  9993. I love your videos. nothing would make me happier than seeing a top 10 calculus books according to your vision <3
    6
  9994. I think part of the problem with math is that some estudiantes hit the wall of misunderstanding, which I figure we all hit, and just freeze. It's usually best to push on as it's always possible to go back through the tough sections assuming that I own the book. I usually don't understand everything I read in a book because I try to restrict my time with any single book. Some may think it's crazy to not understand everything in a text. I say it's not crazy at all because if I took all the time necessary to learn every single thing, I could go back to the same book which I own, two years down the road and wouldn't remember everything I learned. So, two years from now I could be at the same place with a book as someone that was so focused on every little detail. We all forget things which is something that I learned to deal with.
    6
  9995. What a great explanation! Thank you!
    6
  9996. Very helpful! The exact problem I needed help with on my trig homework
    6
  9997. Getting all those Bs they’ll call you Buzzzzz. 🐝
    6
  9998. as soon as i got out of high school i started studying computer science for the same reasons as you did but i didnt like it however i notice that i really liked my calculus class and i did pretty well,so then i worked for half an year and the next year i started the math major.best desicion i ever did.
    6
  9999. I teach to induce the "aha" moment. It's happened every now and then. I hope to improve so it would happen more often :D
    6
  10000. Hi, question! So, I had an undiagnosed learning disability all through out school and I only recently got it diagnosed (at 21, my luck lol) and due to that my math, even the basics, isn’t exactly all that great. Like, seriously, I’m not even sure I remember how to do long division, or how square roots and fractions work. Basically, where would someone like me start in order to just get to a basic level in math?
    6
  10001. Sir, thank you for making this video. Seriously, I needed to hear every word that you said. Math is beautiful and I’m seeing that everyday. I do pray that I get better at it so I can fully experience the beauty of it. Thank you again.
    6
  10002. You are my motivation.love from India💓👍👍
    6
  10003. The author, Bernard "Bernie" Lindgren (1924~2012), was known for statistics and peanut brittle.
    6
  10004. Mr. Sorcerer; My wife purchased one of the older calculus books you had for sale and it arrived here in Midland Michigan today. I could not have been more surprised and delighted…especially with the wonderful inscription included! I have recently started studying math (Algebra and Calculus) after a 37 year break. Your channel was a big part of what inspired me to do so….thanks for all the great and inspiring content you post. A couple side notes…the book you sent up was originally used by a student at the University of Michigan in Ann Arbor in the 1950’s and now here it is back in Michigan only an hour North of Ann Arbor some 70 years later! Also, I attended Fredonia State University in Western New York in the late 1980’s and one of the professors there was Dr. Albert Polimeni who was a co-author of a book on proof writing you mentioned in one of your videos entitled “This will make you math strong”….small world. Thanks again for the book, kind words, and your channel! Tim Strom
    6
  10005. I'm so confused to why this was recommended 😅 is this a spiritual channel or a math channel??
    6
  10006. Keep up the great videos friend.
    6
  10007. gracias por el video! enserio sirve de mucho
    6
  10008. can you do some examples on series? power series, root, ratio, comparison? Can you make the comparison ones hard on purpose? Those ones always got me the rest I am fine with.
    6
  10009. Wow this just saved my life.
    6
  10010. Thank you my good sorcerer 🧙🏻‍♂️
    6
  10011. Sir I really like your math videos.
    6
  10012. I love this channel. It made me go from lacking a lot of confidence to actually enjoying math now.
    6
  10013. It is written in such a way that one can really learn the topics by oneself!
    6
  10014. I basically agree with your list. I was expecting some dedicated book on linear algebra, it's such a powerful tool.
    6
  10015. Hey! Have you got any recommendations for high school students that want to study maths? I mean, as in, what should they study before getting into college and so on? Jeez, I don't know if I'm making myself clear... Hahaha, anyways, for example, I've been studying calculus and proof writing. Is there any other subject that you find important/convenient to know beforehand? Thanks!
    6
  10016. Functional programing, no side effects, I love recursion. (:
    6
  10017. Wow, bro. That's insane. I have several math books. My calc book I used in college, which is the biggest, an ordinary differential equations textbook, a linear algebra textbook, and a few other books that I bought online - Set Theory, Intro to Topology, Discrete Math, and Proofs by jay cummings.
    6
  10018. On your advice I have been studying A Transition to Advanced Mathematics. Half way through. It is very satisfying.
    6
  10019. The matter of sorting is a serious dilemma. My collection is sorted by subject, and secondarily by book title. I feel it makes very little sense to sort math texts by title, for example, where would "A Friendly Introduction to Analysis" go? In the A section? F? I? It seems reasonable to ignore all words in the title before "Analysis", which ends up just leading to a sort by subject. However this presented the challenge of sorting my non-textbook math books. So now among my subjects are "History", "Pi", "Problem Solving", and "General Math". And then what of a book like Infinite Powers? It's about Calculus, so does it go in the Calc section? Or the general math section since it is a pop-math book? Or in the history section as it gives a nice history of the subject? The questions never end with sorting books, but whatever we pick, it's always fun to put a new book in its place! Awesome books as always, Math Sorcer! I've often had my eye caught by that Artin text on Galois Theory.
    6
  10020. Anyone else curious as to how dude’s teaching style might be? I’d like to see his math reasoning/logic on display! You’re awesome math wizard
    6
  10021. Yes grades are important because other people find them important. I also believe if you deeply learned the material, you'll also get good grades. However having good grades does not mean you learned the material (what does learned even mean?) There was a natural experiment done (by the naval academy?) where students were assigned to calc I teachers. One was known for being more difficult. Those students got lower grades on average. However in calc II those students did better than the other students. If those students dropped out then they would have just had the worse calc I grade. The point being that the grade was a measurement of "something" right at that moment. Another example is self-paced group vs traditional format. In the self-paced group students were allowed to go through material and assignments at their own pace (but still required to finish all the material). The researchers found that the self-paced group outperformed the traditional group. Furthermore both groups were re-tested after the midsem break and the self-paced group maintained or improved but the traditional group ended up doing worse that previously. What did those initial grades measure? Should the traditional group have their grades adjusted? Should students go through re-certification like doctors do? The broader point (now that I'm ranting) is that it appears to me that schools are not set-up for optimal learning. Unis with massive percentage final exams 50-100% are encouraging cramming which we know is poor for long term retention (is this what we mean by learning?). It's not a huge surprise to me when the conception of US education was centered around the idea that people's abilities were fixed and that testing was a way to filter people out (hence the Scholastic Aptitude Test etc), the point was never to educate. Anyway long rant, but this is an issue I've been thinking about. How should education change for the modern era? How do we handle testing (mastery? some public schools are trialing not moving people up grade levels [well really eliminating the concept of grades] unless they've mastered material)? What is the purpose of testing anyway?
    6
  10022. thank you
    6
  10023. "It smells so good, what an amazing book" - is enough to decide to buy the book some day
    6
  10024. this is the most helpful channel for my math I've ever had...really great advice
    6
  10025. This stumped me. Good explanation.
    6
  10026. I love you The Math Sorcerer!!! Please never stop posting, you're amazing. A true gem I found thanks to my YouTube algorithm. A hidden math guru that isn't just trying to sell their math courses :') thank you thank you thank you for making my world a bit better
    6
  10027. Greetings Math Sorcerer! I have been reading one of your recomendations Precalculus James Stewart at the moment I have a nice experiencie reading it, to me it is helpfull with the content. Thanks Again for show us another beautiful book about maths!
    6
  10028. my school explains math in long paragraphs with occasional numbers and 2 examples. I have no idea what's going on, each quiz I just take and no matter how hard. I study I get f. i give up
    6
  10029. I’ve been trying to do this myself with a lot of different things and not just with math. I think it’s an important thing to do, it helps give you the drive and confidence to find and follow new passions. No how familiar you are with it. It also give you a better idea of where you should focus on learning the new concepts and trying to learn the basics and where you need to start.
    6
  10030. Great video math sorcerer You have been great inspiration to reignate the fire of mathematics inside me. Now I want to take mathematical Classes in college. Thanks for helping evryone.
    6
  10031. 1
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  10032. Wow, fantastic book, thanks so much for recommending!! 🙏🏻 🙏🏻 🤩🤩 🧮 🧮 Good night and greetings from Madrid, Spain, Gema
    6
  10033. This is quite an interesting problem, cool property of ratios to use in other proofs!
    6
  10034. Hello Mr. Sorcerer.
    6
  10035. i love computer science book on this channel
    6
  10036. We appreciate the informative you've given us. May God bless you no matter what.
    6
  10037. Last year I started my Bachelor's Degree in Physics and Mathematics. However, at that time —and still today— I carry personal problems that have affected my performance and make me feel a lack of interest and passion for everything. You can imagine, then, that this has come to affect quite a bit my confidence in my abilities and my work. But it is difficult to express these difficulties and feelings to others without them being indifferent, seeing you as a crybaby or perceiving you as a victim. Thus, it is truly valuable for me to hear advice or words of encouragement and feel that, despite the difficulties of what you do, thousands of people before you have managed to overcome them and you can too. Thank you very much!
    6
  10038. very good
    6
  10039. Found the history and theory behind Hyperbolic geometry very interesting. I’ll go down the rabbit hole with that subject :)
    6
  10040. Self-study is also mission-critical for life after school. When you have a job, you will be faced with learning new skills (quickly!) as part of your job assignments.
    6
  10041. this book is very used in india
    6
  10042. To comment a second time. I really feel that linear algebra is underrated. It's importance to modern mathematics cannot be overstated. I might even venture to say that a knowledge of linear algebra is more important than calculus in today's world.
    6
  10043.  @TheMathSorcerer  I'm no math pro, but I use your Linear Algebra videos alot for Physics and Quantum Chemistry! It's really so well applied there too
    6
  10044. ....I like the collection of math books behind you....some of which are well thumbed. I'm structural engineer and have used a lot of mathematics to solve real time problems in the past. I'm now retired. After a lifetime of writing software and studying to become an architect, maths is just a hobby, like doing crosswords. I do maths for fun to stop myself becoming senile. Like your programme and your book collection. Power to your elbow....keep on doing....we can always learn and do more....as they say : have a nice day..do more !
    6
  10045. Started watching your videos a week ago.. Not a math head but loved the way you make your videos. I just ordered vol 1-3 and never heard of Knuth before! Thanks for sharing
    6
  10046. Thanks! (Ha. First time I’ve ‘tipped’ on YouTube. I love your approach, and how you share your knowledge)
    6
  10047. Functional Analysis is the basis for understanding Sturm–Liouville Theory, Banach Spaces, and Hilbert Spaces, in particular, and a ton of other stuff. I first came across Hilbert Spaces in the context of Quantum Mechanics.
    6
  10048. I completely agree. I failed that class twice before passing it and earning my math degree. In that class, most students are first exposed to what real math proofs are like. It was really hard because there are no templates for how to write a proof. One of my professors said that writing proofs is a "form of art"
    6
  10049. I definitely have felt Mathematical Burnout this semester. Thank you for this!
    6
  10050. I love self study. I take courses online without scheduled classes from a community college. I can study on my own pace. Luckily we have homework and tests, these are some sort of drive for me to stick to my study plan. I never felt I was stupid, sometimes we have to read the problems and books again and again to really understand what they are about. Also, there are SO many resources online.
    6
  10051. This is sage advice not just for math tests but for any kind of mental activity. As a programmer I see many parallels to my job. Everybody has a finite amount of mental energy available each day. If you can work faster and more efficiently, then more of your work will be done when you are fresh, and so your work will tend to be of a higher quality than if you had to go deep into your reserves. So working faster is beneficial even if you had unlimited time and no arbitrary exam time limit. Working more efficiently also allows you to think more deeply because you are able to explore more of the potential solution space.
    6
  10052. I've struggled with procrastination for a long time, and what helped me overcome it was a lot of "subconscious rewiring". Listening to guided meditation and affirmations to overcome study anxiety helped me become more relaxed and calm when studies overwhelmed me. I usually listen to them during bedtime or early in the morning.
    6
  10053. Wizard, I picked up The Forgotten Art of Spherical Trigonometry or Heavenly Mathmatics by Glen Van Brummen so far it’s a great read. If your into mathematics and astronomy its priced cheap as well. The Blitzer College Algebra and Trignometry text is really good as well.
    6
  10054. Can I become a mathematician considering physics as honours🙏🙏
    6
  10055. Another great Mir Publishers math book. A lot of them were written for Engineering students and for self-learning. I've been enjoying your channel for a long time. A very useful channel.
    6
  10056. you're the best math teacher I've ever seen with the way that you explain everything. you make it easy and I love the multiple examples given
    6
  10057. I just started studying Analysis. That was very clean sir.
    6
  10058. How bad do you want it ??..
    6
  10059. The best text for self-study is: Allan J. Sieradski's An Introduction to Topology and Homotopy
    6
  10060. Very valid and/or sound points as a Scholar Enthusiast/Hobbyist (Math being a primary major.). I thought "guarantee" could be also expanded to "optimize", like globally "optimize" chances to succeed as an example, including a guarantee if possible. Potential little calculus-double-take not intended.
    6
  10061. Thank you Math Sorcerer! As a matter of fact, one of my best friends returned to college at 28 years old after finishing his BS in Information Technology six years ago to obtain a BS in mathematics. Yes, he is having a hard time building strong study habits but I have referred him to your videos for motivation and proper guidance. Right now he is working his tail off in Calc 2 (advanced Sequence) and Linear Algebra. Please help me help him stay motivated and persistent by continuing to regularly post content!
    6
  10062. I was feeling a bit down just this week, and watching this video, I reread some quotes from Music of the Primes and David Goggins' biography, and I feel at peace again. Thank you, once again, Mr. Math Sorcerer <3
    6
  10063. I wonder what the future of Calculus books will be
    6
  10064. I bought a lot of my math textbooks at the Goodwill and they were like $3.00 each. A lot of my calculus and statistics textbooks came from my Goodwill where I live. Have a productive day :)
    6
  10065. I learned it fast because I thought of the formulas and ways to solve it and tried to make sense of it, instead of memorizing so much shit. Trust me, you can’t memorize everything in math, instead, you should learn it.
    6
  10066. The Math Hitchhiker
    6
  10067. e= Element Of Growth And Decay.
    6
  10068. Speaking of Ramanujan, I want to ask you, I know he is a great mathematician, but can we say that G. H. Hardy is a much more greater mathemtician? This has been always a point of argue between me and my friends, what do you think? can we say that Ramanujan is equal to hardy or littlewood or courant ... etc I am interested to hear your opinion
    6
  10069. Great mathematician
    6
  10070. This is my third video of yours and I strongly already feel that these videos apply not only to MATH. Thank you so much. You have motivated me today. I have looked at my competitor with a different kind of view. Why can’t I do that same thing ? Well actually my goal is not to be like my competitor. That’s why for the past 14 years I don’t shop in furniture stores I don’t even look so not to influence my personal style . But the idea that they cannot be better actually brings joy to my heart.
    6
  10071. One day, a math book, fell from the math tree, on the math teacher's head and he suddenly realized that a math map to guide the newcomers didn't exist yet 😁
    6
  10072. Study is going well. Thanks for the study session like this The bookshelves settings is looking awesome✨｡◕‿◕｡
    6
  10073. I love this, math at the beach. Speaking of beaches, Archimedes did some of his best math at the beach , carving geometric diagrams in the sand, before the tides took them away.
    6
  10074. What books do you recommend for fundamental analysis?
    6
  10075. I am in the same class as Owen. Can confirm that this was way more helpful than anything that came from my professor. Thanks so much!
    6
  10076. Hi, do you have a pdf version of the test, so that I can print it out and try it without pausing the video at every question? :)
    6
  10077. This is gold! Thanks Mr. Math Sorcerer. I love watching your book reviews, they are so relaxing.
    6
  10078. Read Point- Set Topology: A Transition to Higher Mathematics by Andre Yandi. The first chapter is all about logic, proofs, and sets. It helped me. Force yourself to do every problem. It may take a while, but it will help you build up confidence writing proofs.
    6
  10079. There are no hard math courses, only hard math professors.
    6
  10080. I got a depression recently but watching your video really give me motivation to move on and keep working hard.
    6
  10081. And he strikes again
    6
  10082. In india we learn this method as cross multiplication method
    6
  10083. YES! I understood it, and we are going to be dealing with these type of proof this week.
    6
  10084. As a software developer this video was so useful, very on point, tremendously applicable.
    6
  10085. Yes, this is one difficult part of mathematics. The other different part is the Abstract Algebra.
    6
  10086. Main thing, never give up! Only time you fail is when you quit!
    6
  10087. Susanna Epp's "Discrete Mathematics With Applications" is the best science/math textbook I've ever worked with. I went through it cover-to-cover to teach myself DM.
    6
  10088. Learning to deal with all sorts of people is part of growing in maturity. This will not be the last time you encounter someone that doesn't fit in your comfort zone. If you quit this time, what will happen if similar people cross your paths at more critical times? Will it have become easy to give up? I say, unless he has a gun, just stay the course and do your best. You will better conditioned for whatever comes next in your life.
    6
  10089. Hey there take a look a jee exam India pay??
    6
  10090. I used this book for a general course in PDEs over this semester and loved it when I could understand it. I did well in the course but would love to do a more in depth read of it now that im on break. Out of curiosity are there any other PDE books out there that give more examples in the sections? Kind of like how a James Stewart Calc book would read ?
    6
  10091. mathematical and weightlifting wizardry 😎
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  10092. Basically, I learned math on my own. For me, the most important tip is don't lose your motivation. Math is hard and it can easily overcome us. But you don't forget that behind any mathematical paper with complicated nomenclature, there is a simple idea. The problem is to change the bias of our minds to see the simple idea.
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  10093. I'm 16 years old and I'm really struggling
    6
  10094. Thanks to archive.org, I have this book, it's wonderful! I have a huge digital library with lots of interesting, some of them challenging, math books. :)
    6
  10095. THANK YOU MAN I GOT A FINAL TOMORROW AND I NEEDED THIS SO BAD!!!
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  10096. I love this kind of videos keep making them , because it gives me motivation and I need that because I will go to the college next week ( my major is CS ) and there are alot of math so wish my luck 🌹❤ Thanks you for that great valuable content 👌👏 I appreciate that 👍
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  10097. 2nd like!!!!!❤
    6
  10098. 5:37 You really surprised me when you said : "Did it help? I don't know.." Like how do you know what works for you and what doesn't if you don't know..what helped you and what didn't? Cool video as always btw!
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  10099. I gotta give it a whiff lol
    6
  10100. It's true. After a break, the mathematical insights come more easily. For example, instead of taking a break for two weeks, I thought I would take a break for a fortnight. Then when I returned, I realized the two spans of time were isomorphic. Or something.
    6
  10101. I know I suck! but it's like wall street everyone sucks too and you don't have to be the smartest guy to make money you just have to know who he is lol so just enjoy the ride lol!
    6
  10102. How he earn such lot of money ?
    6
  10103. Shoot for the moon. If you miss you will be among the stars, but you might become lonely out there.
    6
  10104. bro is jacked in mind and muscle
    6
  10105. As a math teacher, I thoroughly appreciate this advice.
    6
  10106. A lot of the math isn't that useful after college unless you're teaching math or doing explicitly doing math
    6
  10107. I thought "Rules for Radicals" was an algebra textbook.
    6
  10108. I have looked up names of mathematicians you've mentioned. Poor soul, Felix Hausdorff, RIP. https://en.m.wikipedia.org/wiki/Felix_Hausdorff
    6
  10109. Sir I am big fan of yours ❤❤❤❤
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  10110. Calculus is a race of the strong and persistent.
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  10111. I notice this about non-mathematical things too. When you read or study something, even if you drop it and don't remember much of it, it permanently becomes part of you in some unconscious way.
    6
  10112. This video is very positive thank you!
    6
  10113. Been a long time subscriber, has been great to see your fitness progression. Can really see a huge difference from 2-3 years ago. So important you have endeavours outside of academia. The more you pursue the more you see correlation and benefits between all your interests. Thanks for the help Prof 💪
    6
  10114. I love the design of the book! It looks like a handwritten notebook. Personally, I would love to learn from a book like that
    6
  10115. I like old books 📚. Thank you very much 💖
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  10116. I love your enthusiasm at the sight of vertical asymptote professor ! ! !
    6
  10117. I don't worry about my grades, but they weren't enough for me to get a monitoring funding, which is something I'm really, really worried.... But that's what I believe: knowledge first, grades after
    6
  10118. I have read that calculus is next to algebra. This shows the importance of algebra in calculus. I have also abserved that we do calculus based on algebraic functions.
    6
  10119. 3:07 I will probably solve cancer
    6
  10120. Thanks for sharing! It’s nice revisiting some old calculus
    6
  10121. Very nice hat
    6
  10122. Thank you❤❤❤❤❤
    6
  10123. Finally, I have been waiting for months, thank you
    6
  10124. I love mathematics especially numerical method but rarely people cover this topic.
    6
  10125. What a very interesting book. I might even consider buying it 😂😅
    6
  10126. Am first
    6
  10127. If I had to prove that a group is isomorphic to another group and I have no function provided, does it mean I have to make it up myself and then check if it fulfills the requirements of isomorphism?
    6
  10128. You are litterly God's messenger to me 🙏
    6
  10129. A Whiff never misses a Math Sorcerer's book review 😂😂😂😂😂
    6
  10130. This is the exact thing I needed thank you! (same book and everything) Can I switch professors? Lol
    6
  10131. my co-worker went to UNI to study geography. She's 40 now and just about to finish her course. Already she's working part time doing research for a private company.
    6
  10132. Just saw in the background a book with the title "Origametry". Maybe we can have a review? Wonder what kind of exercises that book may have
    6
  10133. I read it first casually then again re read seriously and then I think upon it a lot to be able to get it. Usually there is time between first reading and complete understanding
    6
  10134. This guy doesn't blink
    6
  10135. I used to compare myself to other people and sometimes that would demotivate me. I realized later on in life that everyone has something different to bring to the table and it's better to focus on your unique strengths.
    6
  10136. Would you mind doing videos on certain Taylor and Maclaurin Series (Cos(x)/Sin(x)/Tan(x)/Etc...)? Thanks!
    6
  10137. I think what really matters in the case of average people is their motivations. If studying math is enjoyable regardless of the difficulties along the way, hard work will never feel wasted.
    6
  10138. Still saving the day nov 2021
    6
  10139. This question is in all calculus book around the world, hehe Nice
    6
  10140. Great. I believe that when we have a pure mentality of just learn, without streess and the obligation of a test, that makes us have pleasure in learning!!!
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  10141. first
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  10142. The ebook edition of this book and Understanding Analysis is now able to download for free on the Springer’s official website. Check it if you’re interested.
    6
  10143. Sweet
    6
  10144. You can be a heckin' wizard is what you can be, that's what.
    6
  10145. So much great knowledge Could you also do a best of on statistics?
    6
  10146. I can't help but think that my comment about what someone should master mathematics wise before taking calculus inspired this video. Haha.
    6
  10147. Why does these things have to be so difficult for me still.. I just want a good math book to read and understand as a very early beginner, something that isn't advanced calculus
    6
  10148. 3:56 Nice conceptual move, lol. Deadpan humour at its finest.
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  10149. Thanks, this is really what I need, my fascination by Algebra will be finally calmed down by this list of books. Greetings from Mexico :D
    6
  10150. Precalc course please?
    6
  10151. Talking about tough math and I spot Langs Algebra looming in the background lmao 🤣 But in all seriousness I thought Calc 3 was way more difficult than 2, just my opinion though.
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  10152. 191 likes 0 dislikes. And that to on a math video... Amazing!
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  10153. Great video. !! I also own the book you showed, it helped me a lot with partial fractions and it was a very interesting read overall. Contrary to what other people in the comments have said, I do thing that math is very humbling assuming you have the necessary self-reflection to understand that everyone in math has to work hard not just oneself and that it is difficult for anyone even to those who seem to have an easy time.  I see this type of elitism a lot in my country where many people and even professors in math departments have this fixed mindset that you have to have some innate talent to study math other natural sciences when its just a way of boosting their own ego.
    6
  10154. Great recommendations and I like the "get after it" mentality as well 💪
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  10155. Tien-Yien Li, an influencial mathematician who is famous for Li-Yorke (Period 3 Implies Chaos), said, to be his PhD student, a necessary (not sufficient of course) condition is, having this book finished.
    6
  10156. I feel good when I see ur math books behind in the shelf😊
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  10157. Analysis paralysis
    6
  10158. Get a math degree if you plan to teach high school math. Get a computer science degree if you plan work in an office environment.
    6
  10159. EVERYTHING IS POSSIBLE EXCEPT DIVIZION BY ZERO :)
    6
  10160. Have Games for the Superintelligent and More Games for the Superintelligent by James F Fixx. I have had these for decades.
    6
  10161. Hey man, nice advice. I just want to say that previously I had requested a video about good multivariable calculus books for beginners and intermediate level. Also it'll be very helpful if you include the names of the topics(you can suggest some books about them too) which are prerequisites to read and understand the multivariable calculus books you're going to mention.
    6
  10162. This is a maths ASMR.
    6
  10163. First time I understand what the integration factor represents, thank you.
    6
  10164. Can you please make a video on how to prepare for the Math GRE and include what books and resources you have used if you decide to make the video. Thank you for your videos!
    6
  10165. Te amo, pero no más que a JulioProfe.
    6
  10166. I'm in the fifth semester of my degree in mathematics and I feel like I don't know anything :(
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  10167. By assuming that the exam is of the appropriate difficulty, the grading is done well and the student is learning with enthusiasm and has no problem working hard, I think the following: Grades are an assessment of the knowledge a student has about a specific topic in a specific moment in time. Usually in uni for example you would sign up for a course which will last a couple of months and then you will be tested via an exam. If you get a good grade this means you have aquired the knowledge and skills the course had to offer in those months, which is great. If you get a bad grade it means you have not done that however you are always free to revisit everything and learn it the way you were meant to even after the exam, in fact specifically for maths you would most likely have to do so if you want to progress. As you have already stated in a different video: everybody learns at a different pace and some people just need more time. So you should never feel discouraged or think that you are a failiure if you get bad grades you just need more time. Feeling bad about yourself will only make your learning more challenging. This is why i think it is very important to offer the students the option to improve grades at a later stage via another exam.
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  10168. Thanks
    6
  10169. The most difficult thing for me is when I find a statement without connection with the studied content or without logical support. In some cases, there are non-obvious sentences or statements, which require a more elaborate treatment, but the author treats it as if it were obvious. When that happens, I have to look for an explanation and I end up getting lost.
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  10170. It actually does make me feel happy.but on the other side grades give you that boost,in my case and the majority of my class(I study in Algeria ) mosty get bad grades for some reason we're struggling to even pass,in general I do enjoy mathematics and I find happiness doing it. Sorry for the bad english
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  10171. Me ayudó mucho, gracias 👍
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  10172. Thank you.😊
    6
  10173. I have a softcover of this book but I've found it difficult to get into. Part of my problem could be that books from that era were typeset in a way that I find distracting. I know, that sounds odd and trivial. But I can't really get over it.
    6
  10174. I'm 64 and a first-year student in physics. It's doable
    6
  10175. Thanks for the cheerful words :)
    6
  10176. This is great advice! I keep all my previous tests and assignments. Will definitely go over them again.
    6
  10177. Dudes having a blast
    6
  10178. I'm studying computer science, and we're using the new Javascript edition of this book for our first real programming course.
    6
  10179. Please review computer Science books also . Create seperate playlist for it🤩
    6
  10180. Thanks for the video man! It really made something click in my brain. For me, it was never the computation, but the notation that really confused me. Here's an explanation in hopes it helps someone. Think of z as a function that takes in 2 arguments, called (x,y), and outputs some number. Given an input (x,y), the symbol dz is itself a new function that takes in two arguments, called (dx,dy), and outputs some number. What that number is is the best "linear approximation" of the difference of z evaluated at the original input (x,y), from z evaluated at the incremented input (x+dz,y+dy). I would love some feedback and criticisms on this idea if anyone knows more about this than I do.
    6
  10181. this actually happens to me randomly 😅
    6
  10182. ? Projective geometry? Abstract algebra? Numerical analysis? Special functions? Tensor and vector analysis? Lie groups and Lie algebras? Formal ordinary differential equations? Functional analysis? Calculus of variations? Stochastic processes?
    6
  10183. This was very helpful and easy to understand, thank you!
    6
  10184. super helpful, concise and straight to the point
    6
  10185. My prof had 1hr and 30 mins to explain this topic and you nailed it within 9 mins. I understood your explanation better than my prof.
    6
  10186. Hopefully I can get an A in calc 3 with your advice:)
    6
  10187. I love this new look!!!!WOW!!!!
    6
  10188. I bought 2 Blitzer books: Introductory & intermediate College Algebra and Thinking Mathematically. Thinking Mathematically is basically pre-algebra. I thought it was something else, but its alright. I also bought a book on teaching math because I thought reading about teaching methods would help me understand a subject better. I ordered a Dover book on mathematical puzzles and tricks. I found several Dover recreation math books. These videos on this channel provide name of so many math books I want to read and do the exercises in. Too many books and not enough time. I found 2 different Stewart Calculus books. One said Transcendental. I wasn't sure which one is the proper one for a beginner of calculus or if it was 2 volumes or different editions of the same book.
    6
  10189. Thanks you sir ❤
    6
  10190. This was really helpful, I thought I could only use some of substitutions in a problem, but clearly it's not the case. Thank you for this "calculation showcase", it is interesting and helpful like every video of yours, please keep it up.
    6
  10191. This was amazing. Thank you so much. This is the 8th place I visited trying to find an intuitive explanation.
    6
  10192. Please also review Tom Apostol's Calculus book.
    6
  10193. Thanks a lot!! I really needed this
    6
  10194. A time when the author cared about educating their audience, rather than making a treasure trove off soon to be debtors. Oh and also now every professor has their own book. Oh and you need to buy a new one next semester because they forgot a comma, but in order to fix it they had to scramble all the exercise problems and solutions. Oh yeah and now you need this only code that's only $75 for one term for uhhh online stuff.. yeah.
    6
  10195. Thanks for this video. I used Kris Jamsa's 'Programming in C' book to first learn C language. Our professor used it to taught us an introduction to C language as part of the course Systems Programming II in final semester in 1991. I used Stephen Bourne's 'The UNIX System V Environment' book on my own in that semester as well. That book had a chapter about C language. I used Herbert Schildt's "Teach Yourself C" book later on my own to learn in detail comparatively also.
    6
  10196. You are wholesome. Thanks for the inspiration.
    6
  10197. Only if it was in my recommendation 10 minutes ago...
    6
  10198. I’m nearing the end of my 2nd year of college and I’m not gonna lie, taking both Differential Equations AND Linear Algebra this semester was probably one of the BEST decisions I’ve made so far. I’m not the best at either one, but I’ve learned that I behave more like gneiss than a diamond when under pressure lol. Not exactly the best, but tough enough to withstand the heat
    6
  10199. hey im having trouble with algebraic thinking (especially in applied worded problems) where can i learn the mindset, should i go to pre algebra or?
    6
  10200. What a coincidence that i just started to learn Computer Science as an extra and this vid showed up.
    6
  10201. I got Aatrox as a Study Budy
    6
  10202. Not buying it. No way this represents a normal day for you - I didn't see you smell a single textbook.
    6
  10203. But is there a general math book which describes all the math fields in existence, at least briefly ? I just want to understand general math structure which is present nowdays, and choose the fields which I want to study
    6
  10204. This is what you need for all math subjects Me : see thumbnail Me : burn all math books with fire
    6
  10205. This reminds of the “Humungous Book of…” by W. Michael Kelley. It’s possibly the same concept just a different publisher. Kelley’s books look like a text with margin notes written around them. I didn’t catch an author for the book you reviewed, yet it may be done in a similar pedagogy. Kelley has topics in arithmetic, algebra, probability, and calculus. I don’t recall the publisher.
    6
  10206. I really needed to hear this today. Great timing. Thanks.
    6
  10207. I have the Bad habit of reading math books but also I read another type of books.
    6
  10208. The real question is why are the names Rudin and Royden so similar. Confusing when speaking about it!
    6
  10209. Ugh I study this book. It's honestly kinda bulky to me, could be my teacher's fault though. But i find the proofs kinda convulated. Then again I'm talking about the 7th edition
    6
  10210. Perfectly encompasses my pain in math. Great video
    6
  10211. Preach 🙌 setting up a system that’s easy to sustain has been necessary for me. It isn’t easy to self-study and work full-time, but habit makes it easier.
    6
  10212. There's a voice maybe a character that stops me from doing anything. I've been lazy and scared for the last few months, I lost 3 kg bw, didn't able to get done with my goals. That voice really scares me. I tried therapy, meditation but it returns and stops me to study. I feel helpless. Idk how could I help myself. What should I do
    6
  10213. love watching your videos even though I'm not at that level at math knowledge yet
    6
  10214. I just had a test today. I did decent, around 80/100 but still i feel disappointed (i could easly get 95+), i didnt practice solving problems under test conditions. this course is (7)! credits out of 120.. I hope my checker will be nice :)
    6
  10215. One book to rule them all.
    6
  10216. Here in Yemen, all our power comes from sun, not because affraid of global warming or air pollution, but because we don't have any other source for electricity 🤤🤤🤤
    6
  10217. One place you can get free math books is from the dumpster behind Half Price Books! 😄
    6
  10218. 😂😂😂 i honestly wasnt expecting this
    6
  10219. Fun fact: the whole reason I am interested in math is because of calculus. If it weren't for me seeing integrals and the nabla operator 2 years ago I wouldn't be here. Either way, even though most of the time when I saw something in calculus I could understand it, I still took notes so I can go back to them later. Who know, I may never go back but better safe than sorry.
    6
  10220. The next edition of the book should perhaps be called Partial Calculus
    6
  10221. you can't go wrong with erwin kreyszig!
    6
  10222. These are DEFINITELY what Math students never say.
    6
  10223. Everyone should self study even when in college.
    6
  10224. Thx
    6
  10225. It's much easier to understand that way. I just checked out Morris Kline book by looking at the graphs and remembered it. Better than what young kids are getting. They're going by rote.
    6
  10226. FIRST!
    6
  10227. Do you Professor consider collecting past papers or recalls as cheating?
    6
  10228. Always appreciate your videos although I don't always comment. I like the variety...one minute it's higher calculus concepts, the next minute it's back to basics. In this example, shouldn't x be strictly greater than 2 and-8 ? Regards and cheers from the UK. Keep up the great work.
    6
  10229. Prepare each lesson by skimming the sections covered and grasp some concepts and the goal of the lesson. You'll get so much more out of what your professor teaches, and it will be easier to ask the right questions when you aren't busy grasping the basics. To be able to do this, always ask your professor at the end of a lesson what he/she will cover next lesson. Also prepare for the whole course. If there is a course description, read it. At the first lesson ask your professor what the course covers, what are the important things to learn, and what chapters it covers. After the first lesson, read the table of contents to get an overall view. Look at the pictures in the book. Are there summaries or sidenotes that you can benefit from?
    6
  10230. flipping hell,!! i quit alcohol 6 years ago. This is the first night i have been high since!! i feel a buzz. This is the most epic video ever made full stop! congratulations!
    6
  10231. I accept this video as a sign from the universe. Thank you, I hope I will pass Differential Equations next week 🤞
    6
  10232. Watched all of your videos. You're great and very inspiring. Thank you sir!
    6
  10233. No views in 20 seconds bro fell off 😂😂😂😂😂😂😂❤❤❤❤🎉🎉🎉🎉
    6
  10234. As an idea; work out the test problems and sell that as a supplemental book and sell it on Amazon. Maybe Dover books could republish the set since that is their bread and butter.
    6
  10235. Math for me IS a lifestyle. It's an endeavor and it is the reward itself. This is a craft that deserves a lifetime. It can't get more beautiful than this.
    6
  10236. Maaan i've been trying this for over two days and i couldnt solve it, now i know my mistakes, thanks :')
    6
  10237. I’m reading Fermat’s enigma. Makes me feel like I am part of something bigger even though I will never have a theorem named after me.
    6
  10238. I thought myself a singleton freak for smelling my books. Thank you for proving me not to be a singleton freak.
    6
  10239. Hi do you have any recommendations on a Collage algebra workbook ?
    6
  10240. I'd like to say thank you for all the math tips and suggestions given by you that are helping me so much. I dont find learning math difficult anymore at the age of 37. Cheers Mr incredible
    6
  10241. Chemical engineer here !!! The math was the easy part, chemical engineering was hard. All that thermodynamics and kinetics 😂
    6
  10242. This was fairly straightfoward my mistake would have been forgetting that b^2 was a !constant! accidently integrated as 1/3b^3 lol
    6
  10243. I spend so much time on questions that are supposed to done in 2 minutes but once i gain knowledge i am able to solve a lot faster than avg time and sometimes picking up the pen. But the problem is i don't really have much time and i want to do like 3 chapters a day what do you suggest?
    6
  10244. Available as an archive edition for free.
    6
  10245. In my Uni career I failed just once, at the oral of General Physics 1, I just started bad and when you start badly in an ORAL exam it is really hard to recover because the Professor will start to attack you on that "weak" point, this is how it works in Italy. The Italian university is a bit strange because you have ORAL exams even for STEM majors, it is rare to have quizzes or tests, normally you just attend the course and then at the end you will have a written exam and if you pass you go to the oral one where you get the grade directly at the end of the exam. And it is honestly hard because you have few but BIG subjects, like an average course is about 6-8 hours a week for a whole semester (or even for 2 semesters for the most important exams) so you arrive at the exam with a HUGE load of things to study, for example in Civil Engineering you have one subject called "Scienza delle Costruzioni" (Science of Construction) which is in fact, when compared to American universities, like Strength of Materials, Structural Analysis 1 and Structural Analysis 2 combined. So just imagine you have one exam for all these 3 and you will get it ORAL too, the oral in STEM subjects is on the blackboard because you have to write formulas, demonstrations, etc, while answering the questions, with all the class WATCHING YOU. I will never forget the stress of those days!
    6
  10246. Be sure you don’t accidentally go to the doctor’s for one on final math date.
    6
  10247. The thing with the derivative and the square root is fine when you're just looking for the extremal points of the function. I've seen that exact scene unfold before, so I just wanted to explain. :)
    6
  10248. Should I change from Math to Computer Science or Electrical Engineering?
    6
  10249. i think we should try to read and understand "hard books" also, books which don't try to make things simpler. This habit pays off in future when students go for graduate studies or PhD, where they have fewer easy books and more hard and dry books and research papers.
    6
  10250. Upload videos on proofs professor
    6
  10251. Great episode. Dover books are really good. Also, graduate level Physics.
    6
  10252. What I do is as I go through homework problems, I check my answers and mark where I went wrong with a pen. Then when I'm studying for a test I review the mistakes that I made and make a mental effort not to make those mistakes again. I can't be sure but I think it's working for the most part. P.S. I have a derivatives test tomorrow and I'm super stressed lol. Hopefully I don't screw this up.
    6
  10253. your content is great I consider myself a lifetime learner so I think I will always watch your videos for as long as you post them would be cool if you did more physics I am taking calculus through university for the first time later this year, after that I will be able to study more physics I like MIT open courseware for Quantum would be nice if I had a list of textbooks to order from ebay for next year
    6
  10254. took me 15 secs damn easy!
    6
  10255. Small correction: the Advanced Calculus Book states that it is NOT a 'course one's in analysis
    6
  10256. Nice! Do Bioinformatics next
    6
  10257. Body and mind 👍👍👍
    6
  10258. That helped a lot literally! Thanks a lot!
    6
  10259. Nice! You helped me with my homework
    6
  10260. I wish all my teachers had the same excitement and enthusiasm as you.
    6
  10261. Hi professor I am from 2022 I want to tell you that you have 400k subscribers in future
    6
  10262. Thank you for introducing us to this book!
    6
  10263. I learned Mathematical Statistics with the book of John E. Freund Fifth Edition in 1996, also an excellent book. Thank you for the video.
    6
  10264. Alright man, you convinced me. I’ll give it a go.
    6
  10265. Please do a maths for economics book
    6
  10266. i like your voice and tone. Makes me wanna listen to math lectures.
    6
  10267. 2:36 oh the elementary theory in one or several complex variables by Cartan. Im reading through the dover reprint of it currently:)
    6
  10268. I find that it's 5am just after i wake up for an hour and then eat and so 3 hours with 5 min breaks each hour... If i do that i can study about 8-10hours a day by doing 3 hours with 5min breaks evey hour and 1hr 30min break between the three hours.... I'm unemployed and not in school math helps me stay out of trouble
    6
  10269. With those biceps you are going to have to change your name to "The Math Warlock"
    6
  10270. Love the story videos
    6
  10271. Math was kind of an accident for me too. I don’t remember my relationship with math when I was younger; I guess it was kind of neutral / I didn’t want to do it because it was school. But I was homeschooled and a huge procrastinator, which resulted in me having to catch up every year to finish on time, and eventually I had to do my last 3 years of high school in one year. But I remember cramming an algebra textbook, and doing SO much work at a time, that suddenly I realized I really liked it. And I liked it because it was hard? Kinda weird, but I feel that way about a lot of things now. Eventually I went to university as a Bio major wanting to do Forensics. But the job opportunities weren’t fantastic. So I considered do something more flexible like math. In my Cal 1 class, one of my classmates and my professor told me I was good at math and should think about being a math major. I ended up pretty much deciding to switch that first summer. If you had told me 5 years ago what I’d be doing now, I’d have probably thought that was crazy. I don’t regret it :)
    6
  10272. Out with these 🔥🔥 inspiration. I’m going share that “Practice doesn’t necessarily make you perfect, it makes you better.”
    6
  10273. I'm so hyped up about this book, thanks for the dope review aand the recommendation!
    6
  10274. 1:04
    6
  10275. Aigean Thokchom Look up spaced repetition in Youtube and see what that means. Videos on spaced repetition are helpful to those who are forgetful or those with selective memory. In my case, I am forgetful and annoyingly absent-minded. Everyday, I keep a STUDY DIARY which is IMPORTANT to me, as I am terribly forgetful. I daily use a diary for jotting down titles of video tutorials, those I have watched at Youtube, Udemy, Khan Academy, Facebook, etc. On left margins of a study diary, I draw eye-catching symbols like stars or write abbreviations TH for "too hard" or TL for "too long." I use a star ⭐️ to mean "good," two stars ⭐️⭐️ "very good," ⭐️⭐️⭐️ "worth watching again." Days or weeks later, I review earlier pages and see what videos I need re-watching. Relearning them is spaced repetition. In my study diary, I jot down also the names of online ebooks that I am reading at Open Library or Amazon's Reader Cloud. I read Kindle Unlimited (borrowing up to 10 ebooks for €9 monthly). Open Library is WORTHWHILE VISITING for all students & graduates alike. In my study diary, I also write the names of vital websites: otherwise I forget them within hours. To simplify all my studies, I use digital SCRAPBOOKS replete with colourful illustrations, formulas, and notes. Scrapbooks are much tidier and more engaging than messy, colourless, handwritten note nooks. I create scrapbooks with Google Slides which is FREE and easy to use. Like sketchnotes, screenshots act as MEMORY TRIGGERS which hugely help any absent-minded person. I have roughly over 50 scrapbooks, 3 or 4 on mathematics & physics, others on programming, 3D softwares, etc. In my scrapbooks, I have SCREENSHOTS of tutors' writings on chalkboards, vital webpages like those from Stackoverflow, still images of videos from Youtube. On ALL pages or slides, I attach links to sources. On tablets, before taking screenshots, I remove icons on paused videos by clicking once anywhere on the video area outside them. I press together home button and power button to take screenshots, which are stored in gallery. For my scrapbooks, I go to Google Images and type keywords. There I find *LOADS of illustrations, especially colourful ones. Same at Pinterest. At Facebook groups, Quora, and Stackoverflow hubs, I always find great maths questions & answers. Immediately, I take screenshots of them, copy links and store them in scrapbooks. To edit pages/slides for scrapbooks, I use free open-source art softwares like Inkscape, MyPaint, Krita and Gimp. Honestly, every mathematician SHOULD have Inkscape on computer: a graphic software terribly useful for drawing geometry and writing math fonts. I add animation to slides. At Ezgif, I convert video format MPEG into GIF, trim areas of videos/animation. I screencast parts of videos in Youtube and edit them at Ezgif.
    6
  10276. Amazing video, I had been struggling to grasp the concept of metric spaces, yet you explained it very nicely with examples
    6
  10277. It's such a clear and on point explanation. Thank you so much!!!
    6
  10278. I realllyy absolutely totally love math but ppl keep saying that there is no scope in math careerwise and its not useful on its own and stuff like that. They try to make me question my decision of choosing math as a major since i just finished high school.
    6
  10279. Ummm I don't know actually anything about investing. Hope reading this book gimme informations I want. Thank you and may the lord bless you. Best wishes from Iran.
    6
  10280. You never forget to motivate me🕊️❤️❤️❤️
    6
  10281. Excellent collection of books! Definitely helpful.
    6
  10282. The actual proof !! Thanks man
    6
  10283. Hey, I'm starting Analysis 1 at my university, we're using Calculus by Spivak. Do you think this book is more introductory than Spivak's?
    6
  10284. LETS GOOOOOO first time watching a lecture of yours after watching many of your videos. I love your teaching style and would definitely vibe in your class
    6
  10285. Amazing!!!
    6
  10286. "You need to work hard to do math" My lazy ass: well fuck...
    6
  10287. You talked about pencil more than books😂
    6
  10288. I fucking love this channel coming from a family of computer science students my pops and uncles always told me graduate mathematics was the only coursework more difficult...and that cs was noyhing compared to their math classes...im glad we got a guy like u leading the way man lol keep it up
    6
  10289. Dear Math Sorcerer, (RIP Kobe) I wanted to ask this question in another graduate school video but I figured it'd share it here at 12:06 am 😭 I have a question, maybe it could be a video. About integrity in mathematics (ill explain). Suppose you have two students and they both have to do 20 questions in the week in their senior algebra class. They both WANT to do well but have two approaches to doing well (i.e one wants to prove to himself the other just wants the grade the fastest). So let me begin this hypothetical, support one student attempts all the questions struggles for days doing it asking for help sometimes from professor but NEVER or RARELY uses google for the answer but most importantly NEVER uses those websites that provided ridiculous solutions to everything, granted when it comes down to assignment they don't always perform the best but does put in the work each day, hour and minute (BLOOD SWEAT AND TEARS). And the other student (Student #2) attempts the question for homework each one about for 1 minute tops doesn't get the answer goes to google find that website with all the solutions learns the solutions and moves on swiftly to all the questions without any effort by memorizing answers well enough and extremely well enough for tests and exams. Now the first student clearly showed mathematical integrity but the other student doesn't. But grades wise if it turns out that the second student performs a lot better than the first despite not having the mathematical integrity to try but instead understood the system better and used it to their advantage, so it worth it to you, is mathematical integrity worth it? I bring this up because is it worth doing the homework intensely with integrity and grit if the mark is what matters the most. And secondly, most importantly how should a student use google for help in an ethical way beyond those websites that have solutions to all math books. I would love to hear your thoughts sometime. And good night!
    6
  10290. i learnt so much from this lesson, those quadruples integrals are just brilliant
    6
  10291. It takes me about 1.5 to 2 hours per page to read it carefully and understand new content
    6
  10292. What is your first language?
    6
  10293. Wow, looks good! I was dumb at maths at school; I was a kind of middling C person; everything was hard. When I was 25 I got on an electronics ONC course as my school maths was just good enough for me to be accepted. I balked at the maths, though, but I worked at it, and then in my first exam I got 100%. It went like that throughout the ONC, and then I did the HNC, but my maths dipped a bit, as I had so many subjects to learn, but I ended up with a Merit in maths. I always vowed to one day have a real good go at some maths, at leisure, without other subjects to learn, so I'm going to get this book, thanks! I have a hunch I can get my head around it, then maybe, I can start looking at some physics. That would be grand!
    6
  10294. i love your videos, i dont watch your actual maths ones because theres so many but the normal pieces of advice and reviews are great! Thank you for being here.
    6
  10295. Self sufficient. I thought about getting a solar charger for my laptop. Stay safe my friend.
    6
  10296. "Yes or no, place one reason"
    6
  10297. I love induction proofs, both the weak and strong forms. So, do some more of these The Z is Zahlen in German. The early mathematicians who developed set theory (like Cantor) used this letter. N for natural numbers,R for real numbers, Q for the rationals. Your proof was exceptionally well done. Two thumbs up
    6
  10298. Personally, I would not recommend learning physics seriously without calculus because the student will be unable to understand how the formulae work and how they are deduced. I think this kind of book are good only for those who study physics as a hobby and don't like math that much. Another book for this public which I found interesting is "Conceptual Physics" by Hewitt.
    6
  10299. This video brings up some pretty painful memories from my time as a teacher. Whenever I found that a student was cheating, it was pretty devastating because it shows that you care more about them learning than they do. They are cheating themselves out of learning something interesting, they are violating the responsibility of a university to certify that students are prepared at graduation, they are disrespecting the efforts of their fellow students, and they are spitting in the face of every teacher, TA, or friend that has been trying to help them learn.
    6
  10300. I used this book for undergrad (third year) Abstract Algebra - University of Chicago
    6
  10301. So true. The mood to keep working and not being sad of any fail. Is that, alright, I'm studying what I want, so in every class, let's try to learn something new! That works the most of times, but the bad part is on the exams. Me, an exam in an hour at 16:00 PM of topology, and I'm really relaxed. Cause, alright, I may fail, but I'll do my best, and try even, to have fun in that exam! xD
    6
  10302. First one, here in Malawi big fan
    6
  10303. Yes love the smell I just found an old perfect copy of "Set Theory" Hausdorff with library card taken out six times 1958, 60,69,70,88
    6
  10304. The 3 people who disliked the video are math haters.
    6
  10305. When you first learned proof by induction, did it feel like circular reasoning to you?
    6
  10306. that was amazing. im french and watching this at 2am! i really enjoy maths like this.
    6
  10307. love your videos man please keep going ! very clea and easy to understand !
    6
  10308.  @TheMathSorcerer  Thank you, and thank you so much for your help. It's a collection of professors like you who make videos to freely share their knowledge that got me where I am.
    6
  10309. I'm 22 and planning to go to Uni next year
    6
  10310. Sin(x)/x = 1 is always true haha
    6
  10311. Never mind. You answered it at the beginning; teach me to ask a question before listening completely
    6
  10312. I think I’m smart with language and abstract concepts but I struggle with working memory, picturing complex physical phenomena, and thinking in terms of pure math . I’m studying physics and hoping I can use my strengths while overcoming my weaknesses.
    6
  10313. Have an Abstract Algebra exam tomorrow, at 3:30 when you said "which might end up being test questions" and show question 3:11, that exact question showed up on the last exam! :)
    6
  10314. Greetings Mr.Professor, Thoughts : - Classical Algebra Textbooks shine with Mathematical Knowledge of Special Interest in all aspects. Thanks.. Take Care, Professor. With regards, RanjithJoseph (R.J)
    6
  10315. So agree can be difficult trying to find info on more advanced topics at post graduate level. Finding lectures and youtube videos beyond undergraduate level isn't easy. I study online so don't get to go to live lectures so have to rely on books, recorded course material... but mostly youtube. Here are some advanced topics that I've done during post grad study… I managed to download pdf online and didn't need to purchase them. I've found all theses topics to be really enjoyable. Lie Algebras and Representation Theory by James Humphreys (Lie Algebras first 3 chapters) Representation Theory is chapter 6 plus quite a few other interesting topics. Measure Theory (aka real analysis 2) - can recommend the free book by Terry Tao (Measure Theory) or Royden/Fitzpatrick book (real analysis) Mathematical Applications of Classical Mechanics - by Vlad Arnold Abstract Algebra - I. Herstein (or Algebra by Maclane/Birkhoff or Basic Algebra by Jacbonson/Freeman) Other sources of information - whether websites and/or youtube Prof Richard Borcherds (algebraic geometry, representation theory, galois theory, category theory) Dr Norman Wildberger (algebraic geometry, algebraic number theory, algebraic topology) - wild eggs & insights into mathematics website Dr Daniel Chan (category theory, manifolds, algebraic geometry) - website (UNSW) Bright Side fo Mathematics - manifolds, measure theory.
    6
  10316. Great video! really helped me to understand this property👌🏻
    6
  10317. This is one of the downsides of professionalization. One of my favorite passages in Plato's says "geometry is a dialectical art" or something to that effect. Men who view office hours as a nuisance are unlikely to agree with Plato's sentiment and do harm to our science imo
    6
  10318. Im going through the same experience . It takes time to process Physics and Math. It is a matter of keep trying more and more. Today we have technology to help like this channel We didnt have all that last century. It is motivating to study sciences nowadays.
    6
  10319. I had a group project in AP calculus BC back in HS. There was this german guy( he was a dual citizen who went to german upper level school til 16). He told us that in Germany, by the age of 16 most students who decided to go to university and not adult training school have mastered real analysis 1 and 2. And then by the time they graduate they have already learned and mastered tensor & vector calculus, abstract level linear algebra, Discrete Math, Graph and Number Theory, Abstract Algebra 1 (Rudin's modern algebra) ,Differential Geometry + Topology, manifolds, and last but not least Probability Theory and Measure theory. Apparently, most EU countries HS finish US undergrad level math by the time they graduate HS, so for them undergrad math in the US is just a review.
    6
  10320. perfect!!
    6
  10321. HP calculators are the BEST in the world. I started with TI calculators, but they failed after just a few months. I use HP 50g, HP Prime, and HP 35s calculators now. In the past, I used HP 41C, HP 18, HP 28, and HP 48g calculators. I think calculator use is good to a point, but they should only be allowed for one section of a test, the section with the truly difficult calculations. My last year in engineeriing school was when the HP 35 calculator came out. It cost $395, well out of my range. I used a slide rule through to graduation. One of our professors made us put whether we used calculator or slide rule at the top of the first page of the test. The slide rule students performed better than the calculator students.
    6
  10322. What wizardry! Many thanks :)
    6
  10323. Computer science is a very good branch for people who are mathematically inclined and who want to make money. People can work in things like coding theory or do research in places like Microsoft Research. Students who are too much interested in math and at the same time want to earn money computer science is a good option. They have to sacrifice some pure math and get in to topics like algorithms, machine learning etc.
    6
  10324. I have to over do it too. Especially to retain math. I have to do a lot of homework problems. I do every problem until I get a correct answer and understand how I got the answer. I would love to be math intuitive.
    6
  10325. This is EXACTLY the kind of video that I love the most. It's in order - this video is a dream come true.
    6
  10326. You should review a good book for self studying college algebra and one for trigonometry and one for basic geometry for college students.
    6
  10327. 10:20 same here. Abstract algebra was thé best class I've taken. At first, i thought thé best class I'd taken was calculus (probably because i loved Prof Herbert Gross's lecture séries available here on youtube) Then I thought, "no, linear algebra is thé best!" Again, probably because of some online lectures I found on LA by Prof. Gilbert Strang. Now, i think abstract algebra is the best.
    6
  10328. Can I have some pretty please?
    6
  10329. Here's a bit of my two cents. Short term goals might be something like front-end web development whereas long term goals could be something like full stack development because you have to know OOP programming backwards and forwards as well as database development.
    6
  10330. I'm curious about how many math books u have
    6
  10331. Thank you!
    6
  10332. he generalized the foctorization method
    6
  10333. It is because of the general education the US thinks everyone needs to take courses in. Where I'm from you can choose most of your courses already in high school and at university you don't take any courses that is not program-specific
    6
  10334. Hands down the best book for the beginner. A shame it isn't used more often, as any additional material could easily be supplemented in.
    6
  10335. This is absolutely amazing. I've been trying to understand this topic and been looking all over that internet and all of the recorded lectures of last years and I was just really struggling because my exam was in 2 days. This helped!!!
    6
  10336. You should review Gregory naber's topology, geometry and gauge fields, its a great book for physicists and mathematicians
    6
  10337. I'm not working on recurrence relations but I found the video helpful anyway. Keep making amazing content!
    6
  10338. You gonna be a wizard king some day sir.... I gather...
    6
  10339. I was the 2%😂🤣😂🤣😊🤣😊🤣😊
    6
  10340. I have been teaching topology using Topology Without Tears for the past decade. It’s a very nice (free!) book.
    6
  10341. Halmos' Naive Set Theory is a bit terse for beginners. Set theory, many of the definitions require proper interpretation of their meaning in the sense of what it means in English beyond the clutter of various math symbols. Perhaps a proper beginner text in set theory with examples and exercises would be better.
    6
  10342. This sums it all for me . Hard work for mediocrity ( sigh 😔)
    6
  10343. Insightful videos. How to overcome comparison and the fear of not knowing enough in a field?
    6
  10344. Thank you for encouraging words, 24 years old, attending CS at university and still not understanding calculus, but still working on it from very basic math 😉
    6
  10345. This is indeed a great time to practice math alone, and I'm making some progress in doing so. But I have to tell you that, as a newcomer to mathematics, I find it to be very lonely in general. I'm attracted to math largely because of how much I love playing with ideas, but I also love thinking out loud with people over a meal or while going for a walk. It's hard for me to do that in general right now with math, because no one in my life can really relate to me; they're either so far above or so far below my level that any conversations about math are awkwardly one-sided. Thankfully, I have a very supportive and curious girlfriend who lives with me and keeps me company while I work on my practice problems! We love reading together, and conversation has always been the glue of our relationship! I'm hoping that as I keep practicing and working though my books, I'll be better prepared to introduce her to this new world I'm discovering so that math can be a bigger part of our love life together. (I've always needed my life partner to also be my thinking partner. That's the foundation for the family I've always dreamed of having, where everyone's able to open up to each other about whatever's on their mind.) I'm also hoping I can keep growing enough to better understand the mathematical ideas of those who've already far surpassed me in mastering this subject, at least enough so that I can follow their thought processes, ask good questions and maybe even be able to provide input they might find valuable! Thank you for the work you're doing online! It really helps me stay focused and motivated, it gets me through many of my educational struggles, and it's one of the few things that keeps this early stage of my math journey from feeling too lonely! - Vince, Philadelphia
    6
  10346. MIR is a transliteration of Russian word for "World" and "Peace" and is pronounced more like "mere". The first book that I encountered published by them was the book by Kolmogorov and Fomin "Elements of Theory of Function and Functional Analysis" that we have used for my analysis course in undergrad! Immaculate book!
    6
  10347. Here's another one that was missed: "Don't be shy, there are no wrong answers in this class."
    6
  10348. U SAVED MY LIFEEEEE. THANKYOUUUUUUUUUUU SO MUCCHHHHHHHHH 😭😭
    6
  10349. thanks!
    6
  10350. This came up randomly after watching another Math Sorcerer video, so I'll comment on it two years later because I have this book and am working through it. I am an electrical engineer, so my Math department math ended with Calculus/DiffEq and Linear Algebra (and one proofs class as a prereq for a CS course). So I missed out on the higher mathematics courses that are less applicable to engineering. Even if I do grad school, it will be an MSEE and I won't have an excuse to take more math courses. This book is really good at giving you an overview that is a little deeper than the "Learn X in Y minutes" YouTube videos. I'm not likely to go through a whole textbook on a field I'm just curious about. But this book gives you the basic theorems that will give you a good taste of it to whet your appetite. Each chapter ends with a list of recommended books to learn more. This is a book that really fills a gap that I don't think any other book does and it does it well.
    6
  10351. HELLO SIR, PLEASE REVIEW SOME GOOD INDIAN BOOKS LIKE ALGEBRA BY RAM JI LAL ETC.
    6
  10352. I learned cursive handwriting in convent schools. Nuns used to teach not only cursive handwriting, also calligraphy. Someday, I will do tutorials on cursive handwriting and calligraphy, only if I find the time to do so.
    6
  10353. This is something i needed badly💝
    6
  10354. You made this so fun
    6
  10355. I'm still finishing the lecture, but thank you so much for breaking down the Yp's like that. Especially the last two. I have about 7 hw problems that are in that format, but we didn't go over anything like that and I have watched quite a few youtube videos with nobody doing examples like that. I'm going to finish the lecture then try to knock out the hw! The upcoming exam this week will determine if I drop the class or not...
    6
  10356. Holy Smokes! You wouldn’t joking about that price. $450 clams..it’s a gorgeous book though.
    6
  10357. So it's a choice... Self-Fulfilling prophecy is a good way to describe it, everything will then be as if it's magic as you move along. All in perspective!
    6
  10358. Sir any book for Advanced Calculus for Advanced learners....I had read Folland , Kaplan and some chapters of Rudin also....please suggest any other good book other than these...
    6
  10359. I was wondering if you could make a video discussing the differences between combinatorics and probability as 2 seperate electives that might be offered in an American undergraduate math program? context: Until college (and even in a college Discrete math course) for me combinatorics and probability have always been discussed jointly; we get introduced to some basic ideas about counting so that we can use them to compute various kinds of probabilities based on some information given in a word problem. Now that I am done with calc 3 tho, I have the opportunity to take a Probability course which has calc 3 as a prereq , and a separate combinatorics course that has calc 2 as a prereq (which from my understanding is not a conceptual prereq, but rather something that exists to ensure students at my college atleast share a common math background upto integral calculus before branching off into different math domains ). Both courses are considered to be similar levels of advanced material, and you're allowed to take both in any sequence or even concurrently.
    6
  10360. Merry Christmas MS!👍✌️
    6
  10361. And I am still trying to get 90 %
    6
  10362. Me: let's go for a walk corona: Me too
    6
  10363. "Thickness matters." - Math Sorcerer 2023
    6
  10364. I think the calculus series would have been much easier for me if I had professors who explained the broad concepts of the course and the best way to approach them. I think each step in the sequence represents a shift in thinking, and if you don't know how to approach the big picture you can get lost in the trenches.
    6
  10365. I went to a community college, where I earned an associate degree before transferring to a university. I was surprised by my experience at the community college. It was better than I had expected. The college was good at accommodating students of varying levels of ability. I took many math courses, including rigorous courses in discrete math and linear algebra. I had great physics classes too. The math and physics professors were really sharp and sincere. The community college I went to designed the transfer-oriented curricula based on the curricula of the nearest major university, which is quite a good one, and that’s where I transferred to. Community colleges have open admissions. All you have to do is sign up and talk to an advisor. Every community college offers two types of degrees: practical associate degrees for obtaining a specific job and transfer-oriented degrees for completing general education credits and beginning a major. The transfer degrees by necessity must meet certain standards — otherwise the four-year colleges and universities wouldn’t accept the students who have them.
    6
  10366. I kept failing in maths tests one after the other and so on, that's why l don't do maths anymore
    6
  10367. 5:30 Powerful.
    6
  10368. It’s about phalluses in mathematics
    6
  10369. Nice
    6
  10370. I went from thinking "oh man I''m seriously going to fail this course"", to "oh man this is kinda easy" in 5 mins, thanks!
    6
  10371. " when you try to Google something and nothing appears " 1) You are not using the right terminology Or 2) you have reached a place where handful of people have reached..
    6
  10372. Definitely calc 1 is so far the hardest for me. In calc 3, right now. Calculus was such a big different aspect to math that it was hard for me to grasp at first. After I started to understand it, the other classes were a bit easier. For instance, long derivatives got to me the first time. But when integrals were introduced in calc 2, I understood it easier because it was the opposite of derivatives. Plus, I realized YouTube really helps studying lol.
    6
  10373. Why would you burn exams? I'd never burn or destroy anything. They make perfect memories when you grow older... I'm already very upset because of all the books, papers, toys etc my parents threw away every time we moved from one home to another.
    6
  10374. Thanx for the video.. It help me to get idea about what my lecture taught in different language.. 😂
    6
  10375. After more than 20 years I still have my copy of that book, reprinted with corrections in 1988. Actually, I kept all my CSci books and have bought many more. In that book I highlighted up to page 470 and commented through the end of that chapter (chapter 8). It is possible the professor taught from his own notes at that point. What you did not touch on is the previous version was known [as] the "Green Dragon Book", whereas this version is/was known as the "Red Dragon Book". It is/was considered the standard in courses on compiler construction. I used the book in a masters level course.
    6
  10376. Cover Higher Mathematics For Engineers and Physicists by I.S. and E.S. Sokolnikoff, really great old book
    6
  10377. I cry because of the intro. 😭
    6
  10378. Nice I love math and math life
    6
  10379. Studying engineering is very different from studying mathematics
    6
  10380. You shouldn't even be pursuing a degree if you're going or if you're planning to cheat.
    6
  10381. The beautiful of learning how to use reverse CLT. Break up like terms and compare.
    6
  10382. Good morning
    6
  10383. Why’s this incredibly accurate though? LMAO
    6
  10384. Anyone that is discouraged thinking that they're the problem that they just can't understand math remember You are not the problem you're the problem solver! Math is hard but keep at it and you'll get it. Thank you so much for that video! You've just given me that needed push, thanks
    6
  10385. What I like about Dover Books is many include content that is no longer published in current textbooks. That content is not wrong (generally), but it is not considered as important by modern authors. Much like those movies where the team needs an expert in relay computers because the tech is so long obsolete. My favorite artifact in used textbooks is when the highlighting suddenly stops in the middle of chapter 3. (:
    6
  10386.  @TheMathSorcerer  Did you already do a video on topics that can only be understood after calculus? If not, that would be a really fascinating topic for a future upload!
    6
  10387. I discovered "How to Solve IT" In the Whole Earth Catalog" in 1973 or74. It should be a cornerstone in any serious library.
    6
  10388. Thank you prof.
    6
  10389. I was never taught this lesson long, long, long time ago when I was in school. First time learning about this problem. To you, it's uninteresting. To me, it's fascinating. Even at 35, I'm still interested about my favorite subject, and I hope that when you become my age, you do the same.
    6
  10390. Having an unquenchable thirst for learning, I have multiple interests, but I cannot afford degrees in them all. Right now, I am self-studying at home and also at my workplace (owned by parents). That is exactly what I am doing everyday, instead of watching TV, reading magazines, doing crosswords, etc. Presently, I am treating all my studies as strictly hobbies first, before I ever decide to attend universities and acquire degrees, but then I might not bother with college, should my career path ever take different directions. I recall many university dropouts like Bill Gates have established tech corporations. To them, degrees are just papers, while talents are everything. Well, I just see what happens for me in few years time. Right now, I am amassing knowledge & skills as quickly as possible. I always believe in taking shortcuts in learning subjects and saving time. I am self-studying maths for my other interests like programming, 3D animation, etc.
    6
  10391. Good morning sir and thank you very much from the India.
    6
  10392. One of the most simple and effective methods is to right down questions You can refere to them later and test youself The foundation should be understanding - not like being able to explain to someone but having a MILD understanding and even if not you can still use it Combining this with visual orgainizing method like mind maps, flow charts etc. is a great way to learn
    6
  10393. Im definitely a note taker! Also i find that although understanding proofs and concepts is crucial....nothing cements tye maths in my mind more than doing lots of questions and examples! Especially being a self study student.
    6
  10394. An applied math professor - with a PHD from MIT - said that people fall down in higher math because they can't do the underlying algebra. So I would say algebra.
    6
  10395. You are making my days happier! Thank you!
    6
  10396. Internet has made anything possible.. You can learn anything from home by self studying if you are really interested and have the time to spend. (This only applies for theory subjects)
    6
  10397. Really great video idea! Would you ever do one for grads students in mathematics?
    6
  10398. i wanna be the kyle of the class <//3
    6
  10399. There’s nothing elitist about these books, they are just attempts to present the material as elegantly as possible.
    6
  10400. Amazing!
    6
  10401. Please make a video on geometry books, love you from INDIA🇮🇳 🥰
    6
  10402. Me too. I take deep breathes and analyze the problems. Exams are like an MMA fights for me. Gotta go in confident after a long training camp 💪
    6
  10403. You should make a video on your rarest books:)
    6
  10404. Please make a one hour long video, maybe about reviewing maths books, or your maths journey, or even a storytelling maths video.
    6
  10405. Calc 3 definitely
    6
  10406. Success = Talent * Effort^Focus + Random Events. Effort and Focus are in one's control. The second term can take on large postive and negative values.
    6
  10407. But he's teaching growth mindset, not fixed mindset
    6
  10408. It's basically an informal introduction to Mathematical Analysis.
    6
  10409. Thank you for this. I don't mind the long explanations. It saves me a lot of time in the long run. This video helped me the most with this kind of problem.
    6
  10410. In university we called it magic math.
    6
  10411. Thanks for the video - enjoyed this. Recently found some of my dad's old electronics and mathematics books from the U.S. Navy (1950's/60's) ... really great bits in them ... Cheers
    6
  10412. Yes, Complex Variables and Applications is a great book. I found the second edition by Ruel V. Churchill, 1960 which must have been written before Brown joined writing it. It is amazing how cost effective rooting through old books stores can be. I have heard that Baby Rudin was something like $7.95 new, hardcover, second edition in 1964 to 1970. The last I saw, the third edition was $150.00 plus in hardcover. And now it may be out of print, or just in paperback.
    6
  10413. Anybody else here doubting becoming a math major because of struggles with Calculus 1?
    6
  10414. Congrats! I thought you're almost at 300k! You should get 3 of those!
    6
  10415. Is a GPA of 3.0 - 3.5 good to get into graduate school? What about a GPA of 3.2? Is that okay for math graduate school?
    6
  10416. Hi I'm a math student and my math exams are really hard they ask us for demonstration and thus helped a lot thank you sir
    6
  10417. Thanks for your advice. I'm from Colombia and I dedicate my time studying math and watching videos where solve problems in so many beauty ways that I just love it. Thanks again my Newton hairdresser v:
    6
  10418. Spivak: Calculus on Manifolds is hard but good.
    6
  10419. Why weren't you my high school math teacher!? Terrific explanation, thanks!
    6
  10420. Agreed. I'd add that people tend to regard math as some kind of monolith. Being a badass at differential equations and linear algebra didn't prepare me for combinatorics. Being good at calculus doesn't mean you won't feel lost in analysis. Most students don't really get a chance to look under the hood until they take a bridge/proofs class, and even then you find yourself revisiting topics you thought you mastered (technically) only to find them as or more challenging to comprehend from coming from a rigorous direction. Getting an early start helps tremendously.
    6
  10421. I will say, as a physics and math double major, abstract algebra counted as a required math credit for both my physics and math degrees.
    6
  10422. You are a great teacher because you only get to the point. Thank you
    6
  10423. Thank you for this video. Taking statistics online this semester due to covid, and I was so confused on how to figure out the difference between the samples, but you just easily clarified them for me😀
    6
  10424. This is, I guess, way off topic but I'd like to recommend a book on probability and statistics. It's titled "The Probability Lifesaver" by Steven J. Miller. I am not a teacher but I would say it's intermediate to advanced. It is written in a entertaining style with examples, exercises and Mathematica code. In a some cases he walks you through a solution to a problem in detail he even shows you a few plausible solutions to problems that are wrong and he tells you why they are wrong. The first chapter is about: The Birthday Problem, Basketball, and Gambling. As far as Partial Differential Equations the book I took a course from is fairly good: A First Course in Partial Differential Equations by Hans Weinberger. The first chapter analyses the one dimensional wave equation and it's pretty interesting. One topic that might be a little entertaining is to look up the topic "Can you hear the shape of a drum?" A normal drum is a membrane with a boundary - so it's a 2 dimensional wave equation. Hearing the shape of the drum means by looking at a solution you can determine the boundary. If memory serves, this is possible for 2 and 3 dimensional drums but not possible in higher dimensional drums.
    6
  10425. I really thought I was the only person that still goes back to review “introductory concepts” like MVT, well orderings….I feel better about myself now lol
    6
  10426. Hello teacher. I'm Vietnamese and it's easy for me. These formulas I learned in high school and should be familiar to college!
    6
  10427. On other topic, the Youtube Channel Math the Beautiful had an excellent presentation on tensor operations. The author piblished a book which was based on this series.
    6
  10428. where do you buy your textbooks?? i am looking on amazon and thrift books but they’re still fairly expensive!!
    6
  10429. I agree. What helped me the most was doing homework problems a couple of times and then solving other non homework problems from the same topic a day or two before an exam.
    6
  10430. We have been taught this in India before po Shen loh discovered it. I'll explain. Let α,β be the roots for a quadratic equation. Then (x-α)(x-β)=0 x²-(α+β)x+αβ=0 General form for quadratic equation ax²+bx+c=0 x²+bx/a+c/a=0 Then α+β=-b/a αβ=c/a Its that simple. He just used it first.
    6
  10431. This is your brain 🥜 This is your brain sniffing math books 🧠 Any questions?
    6
  10432. some are born talented called geniuses and some do hard work to reach great places and ramanujan was simply genius
    6
  10433. Thank your tremendous effort about your lessons
    6
  10434. Here immediately to see your video ^^
    6
  10435. I don't think that this is really about standards as much as it is about just having a base-line level of faith in yourself. It is true that you will miss 100% of the shots that you don't take.
    6
  10436. hey that is an excellent idea! selecting an advanced math book and reading it as you see it in a live stream or recorded. The first impressions you have of the proofs would be priceless!
    6
  10437. Truth. I'm going back to school. My math skills are very rusty. I also need to get evaluated for a math learning disability before,I take a developmental math class. I am doing self study in developmental math book. It's never boring.
    6
  10438. Hello sir I'm big fan of you . I am from India and i prepared for masters.one day i suddenly found your videos then your skills became me your fan thanks a lot
    6
  10439. why is this something i can see myself falling asleep too 😭
    6
  10440. Thank you for this
    6
  10441. The Hourglass & Scythe are traditional symbols illustrating the finiteness and mortality of human life.
    6
  10442. I love DEs!!!! Soon I’ll teach them myself. I have Zill‘s and Nagle‘s book. Which one do you think is better or better suited for self study?
    6
  10443. Awsome vid.. i know this is not relevant but. What do You think about downloading pdf's . I can't afford books haha. Like i'm currently learning at khan academy. Seriously thanks because of people like You i have education
    6
  10444. So everything I say is a tautological statement?
    6
  10445. I think what's more useful than just reading the theory in a book is trying to prove the theorems/lemmas on your own, doing the exercises on your own and understanding the examples. I have wasted so much time not doing this lol
    6
  10446. We need the second video:when he hits the wall
    6
  10447. That's neat since I actually just got delivered the first 2 of books, except for the Fitzpatrick I got the Advanced Calculus Second Edition, it looks different from your cover but same title and same author. I took an into proof course in the winter, where we studied on statements, logic, all the different types of proofs (direct, contrapositive, contradiction, cases, induction, etc...), sets and functions. However, I fear that I might not be as understanding of the material since it's been some months since I took that class. I plan on taking Real Analysis this upcoming fall quarter, and I have 2.5 months (10 weeks) which is a decent amount of time to go over the material again so I can be prepared. Could you please go over what basics, or knowledge we should have before we take the first Real Analysis class? Should I go over all of the class material? Are sets and functions necessary? Should I stick to just the logic and proof material (which is 1/2 of the material and not all of it). I hope you can answer this Math Sorcerer as others may potentially want to get a head start for the most difficult undergraduate math course they'll ever take as a brief text summary and potentially a more in depth video on it's on topic. Thanks! Have a great rest of the day / night!!
    6
  10448. Very helpful. Thank you!
    6
  10449. Even before listening to what you have to say I know it's not going to work for me. Yes, I'm that bad at memorizing math.
    6
  10450. Very inspirational, thank you.
    6
  10451. Excellent spontaneous exposition! The tip about researching housing early on is worth the price of admission. My suggestion is to research well-established mathematical professions in search of something interesting. For example, actuarial science. In demand, good pay, with a variety of applications (not just insurance), it could be a career, or a set of stepping stones back into academia (and perhaps a pay cut). Many people have multiple careers, so take care of yourself with something interesting. Maybe you'll be the next Tom Clancy, switching from being an insurance actuary to writing action and adventure novels. Keep your eyes open.
    6
  10452. hey, Just wanted to thank you from the bottom of my heart, I recently found your channel and I love your content. your videos have helped me a lot in realizing that the hatred I had for math was easy to overcome and adding to that I am almost addicted to it. There are times when I have creative burnouts and times when I feel discouraged from failure but I always try to keep up playing around until the insight strikes.
    6
  10453. Dear Sir, may I ask for your opinion about Gilbert Strang's book too?
    6
  10454. Thanks for the recommendation. I am currently reading "No Bullshit Guide To Linear Algebra." After that I will begin the all famous "Linear Algebra Done Right!"
    6
  10455. This was fun!
    6
  10456. This orientation was supposed to be in the first day of my university
    6
  10457. what you said was still enlightening nonetheless. thanks for sharing
    6
  10458. As an adult with dyscalculia I’ve struggled with Math my whole life … and although there’s certain things I can graps ( math concepts) there’s others that I always tend to forget & get so worked up on a problem that I get frustrated and give up … and it’s crazy to think that I don’t like math because I’m interested in going to the trades & become either : Plumber or Electrician But math is just an obstacle in my way … I wish there’d be more YouTube videos with tips or websites or something helpful that help with adults with dyscalculia …. 😓😔
    6
  10459. Do you go over the limit as h approaches 0 of (cos h - 1) / h in a previous video?
    6
  10460. I hope some day could be the programmer that I want to be. Thanks for the video.
    6
  10461. Thank you for getting straight to the point. I'm grateful for the short but helpful explanation.
    6
  10462. Finally I m in 11 now I understand this 😂
    6
  10463. THANK YOU. SO MUCH!
    6
  10464. Some times 2+2=1 ( GF3)
    6
  10465. I like your channel a lot and a great book that I think you should review, in case you have not done so yet, or maybe just take a look into it is ; Advanced Engineering Mathematics, Erwin Kreyszig ... I think you may like that one better. About the Engineers usage of writing equipment ... Engineers also like pencils and they like a lot those mechanical pencils ... actually their favorite writing Tool is the famous Rotring Multipen ... both mechanical Pencil and Pen on the same device 😀😀
    6
  10466.  @TheMathSorcerer  Thanks for clearing that up, friend!
    6
  10467. I hope I will be able to take it on physics when I graduate 😖
    6
  10468.  @TheMathSorcerer  wholesome moment :)
    6
  10469.  @TheMathSorcerer  u are one of a kind
    6
  10470. This is another data point to motivate learning the history of one's subject of interest. A lot of really smart people worked really hard to create/discover knowledge that is now wedged between the covers of textbooks and presented in a magical, self-evident manner. Learning about our predecessors' challenges makes our own struggles more human.
    6
  10471. All light that there is to throw on mathematics is contained hidden away in great books. Great insight is only to be found after hundreds of hours of deep thought, and these authors have graciously planned and laid out an efficient path to those insights. Deep understanding takes time, and it is through books where we attain this. I find Math Sorcerer's showcasing of older and newer books exciting because in all of those books there lies thousands of hours of potential mathematical joy.
    6
  10472. Was an arts student, now fate had brought me to computer science. Your channel made me realised what i had been doing wrong for years, i didnt put enough time in math. Also my part time job in sales was enlightening, i rather do 60 hours of math a week than do that ever again. Thanks
    6
  10473. The positive mindset one is absolutely true, since I've adopted a way more positive mindset life has become so much easier.
    6
  10474. Anna getting triggered over the smallest things.. ah yes modern women are so fun
    6
  10475. with my memory falloff, no more than 1 at a time.
    6
  10476. As a way of appreciation, I never skip any ads. Thank you very much, MS.
    6
  10477.  @robroberts1473  i was going to Say that i was going to Say that :( lol
    6
  10478. Thanks for the book review. I have never seen this one in the college math library.
    6
  10479. As someone who got in to the Johns Hopkins Applied Math masters program, I can confirm there is basically no funding at the master’s level, at least at JH
    6
  10480. Man, this prof.'s class looks fun! Its nice to have these videos, that make the concepts easy to understand and remember
    6
  10481. For your 1st video doing celebrity commentary, i must say it's pretty good
    6
  10482. Si fue un niño prodigio, seguro que puede aprender matemáticas por sí mismo, simplemente con buenos libros. Lo mejor es que estudie las áreas de las matemáticas que más le gusten, que más le atraigan. Que estudie por el placer de aprender, y no para aprobar exámenes o para obtener un título o un certificado. Que disfrute de la libertad que tiene para aprender como él quiera, lo que él quiera, y cuando él quiera. No tiene que demostrar nada a nadie, solo tiene que disfrutar. School can in some cases kill that yearning for mathematic pleasure and beauty that we all felt once. Forget about impressing someone else. Let mathematics impress you.
    6
  10483. where's the one by Pinter?!
    6
  10484. love your videos as usual keep it up
    6
  10485. That’s because they are worth it. They are not “ fluffy” entertainment books you find in the book store.
    6
  10486. pi by 2 is angle 90 And sin 90 = 1
    6
  10487. please sir, please explain this question: the Fibonacci sequence fn = fn-1 + fn-2
    6
  10488. I used Linear Algebra Done Right (Axler), Advanced Linear Algebra (Roman) and if you want to do proofs the easy way then use Serge Langs Linear Algebra and have fun with determinants. sheldon axler provides his book free online.
    6
  10489. I feel like experiencing every subject of math is necessary to become the best mathematician you can be, even if you don’t like those subjects❤️
    6
  10490. Pre-algebra is my best....
    6
  10491. Amogus
    6
  10492. Remembering it can be possible if we are better than trying.
    6
  10493. That teacher is awsome, i found that tabular method, thanks for the vid bro!
    6
  10494. It is nice for the book to have solutions. Nevertheless, I feel that for a math major it could be too soft... I would recommend it for someone in High School that is interested in learning some extra details.
    6
  10495. You are explaining these things in very well order
    6
  10496. thanks, it really helped me <3
    6
  10497. You have been so motivational lately... But I love it! 😍 Keep it up 🧙
    6
  10498. This is too good. I've completed this last year when I was I'm 8th grade.
    6
  10499. Why does this come up when I search for ASMR?
    6
  10500. Thank you, Math Sorcerer! It's true. Studying math and discrete math helps organize your thinking. I would also suggest picking up any old physics textbook and study physics with math. One subject helps the other. At some point, numbers and problems of everyday life will switch into Easy Mode.
    6
  10501. Glad to be one of them.
    6
  10502. I LOVE MATH AND I AM FIRST
    6
  10503. Thank you very much professor. I was looking for this video . I couldn't understand this topic clearly when it was covered in basic number theory class but now this topic is crystal clear for me. Thank you once again.
    6
  10504. Oh wow the Ramanujan whose math formulas I love so much?!!
    6
  10505. Thank you so much for the organized and clear explanation. Extremely helpful!
    6
  10506. I’m taking calculus 1 online at the moment and I can verify that this is completely accurate😓
    6
  10507. I wish that my city had a library where I could study in peace. The street where I live it's very noisy and annoying, and the structure of my house doesn't help either 😧. But i'm trying my best anyways.
    6
  10508. Merry Christmas!
    6
  10509. One of the best teacher ever
    6
  10510. Just a reminder that I ONLY like math because of my luck in having you as a teacher.
    6
  10511. I appreciate these videos so much!
    6
  10512. Uncanny timing! Thanks Mr math wizard.
    6
  10513. it was helpful to me
    6
  10514. We❤TheMathSorcerer
    6
  10515. Do you have any good book recommendations on measure theory/Lebesgue integration?
    6
  10516. It's pronounced PL-One. 😊
    6
  10517. In India the syllabus contains Calculus 1 and 2 in our highschool level (only continuity , differentiation, first and second order derivatives, integration as Inverse process of derivatives, substitution, by parts, definite integral, application of integration, differential equations) What a pain but also it's so much fun to do
    6
  10518. Just want to put this out into the universe: I went in to my calculus 1 final exam today with a 99.64% in the class and got a 38% on part 1 (it's split into two parts) of my final exam. I have been GRINDING in this course all semester and by the time I got to the final I was completely burnt out. The lesson I learned from this, studying is important but remember to take care of yourself too!!
    6
  10519. It's called dieresis. It's for marking when two vowels next to eachother that look like they might be one sound are actually two. For example, you might see someone spell coördinate, coöperate, zoölogy, reëlect, and it's also why naïve is often spelt like that (instead of naive, where the "ai" looks like it might be one sound, but isn't). It's been used by some writers in English since at least the 1600s, but it's never been widespread, afaik.
    6
  10520. Math Sorcerer>>> Master oogway
    6
  10521. True Words.. :')
    6
  10522. you should cover some of the aops books, if you haven't already.
    6
  10523. "It is pretty easy to procrastinate" 😂
    6
  10524.  @TheMathSorcerer  oh yeah! That's how I found your channel, this was very "Engineering professors be like" which is a very those channels thing to do XD
    6
  10525. Exactly
    6
  10526. Legend
    5
  10527. 5
  10528. Oh my god, I wish I had found you during my undergrad. HAIL!
    5
  10529. It's so good to see you doing these lectures again I miss them tbh.
    5
  10530. Thanks Sorcerer. Have you considered setting up a Patreon account? I wouldn't mind funding your work.
    5
  10531. "Embrace the struggle." Love that!
    5
  10532. Really nice series, I was thinking of Geometrie and Physics if exists...
    5
  10533. Homework is practice, studying is perfecting it
    5
  10534. was never really taught math (or much of anything) in school. (perks of being homeschooled in a red state haha) been trying to find a good place to start re-learning from scratch, and this channel seems like a good place to do so. thanks for making this content!
    5
  10535. Classical is key for sure! 💫
    5
  10536. Wait so you’re saying I should… go outside, and see, other real people? Like in the fresh air?
    5
  10537. I'm 51, and toying with the idea of going back to school for math. I grew up during a dictatorship and hated math, basically because the militaristic mindset of rooting out the weak was often taken on by teachers who either saw you as promising (the ones with a natural math aptitude) and kids like me who weren't. Math was always a crucible, something that was meant to be hard. I wish I had had teachers like the passionate ones I'm coming across now, who want their students to be good at it. I feel this incredible need to best the "bad" dragon of math.
    5
  10538. If only all school maths books and classes were this relatable to the real world
    5
  10539. when i do math i do it in sessions of 3 hours and between these sessions i do a 30 min break, but obviously 3 hours is a long period of time so like every hour or 50 min or so i walk out of the room after i've been really focused on solving a set of problems or a particular hard problem and i take a small walk around the house, stay on my feet breath for a second look out the window and such, but i always limit myself for a max of 5 min no more because i might get distracted and no phone!! obviously coffee really helps but its important to limit your self to 2-3 cups per day spread to the whole day, and yeah in the half hour break between the 3 hour sesh make sure to set a timer where u eat real fast in that 30 min and the rest of the time do whatever, its important in my opinion to not have too long breaks so you'll not get discouraged. (BTW hot showers help too! and post nut clarity XD u gotta do what u gotta do)
    5
  10540. I just realized you look like jeff bezos
    5
  10541. Here's a thing: the TOEFL is only valid for two years since you pass the exam, so it's very important to take it when you've already have an idea about what you're going to do outside your country, since is an expensive exam, at least in Mexico.
    5
  10542. Great video, I love all your book reviews!!!!!
    5
  10543. You should review his problem book in linear algebra
    5
  10544. That Blitzer book on algebra is one of the best books in the universe. If calculus books were written as well as that, more people would ace calculus.
    5
  10545. You look like Isaac Newton
    5
  10546. I've read my teacher's presentation about ph scale but I couldn't relate to the solving that's why I tried to watch tutorials here on youtube. And this was really helpful so a very big thanks to the creator of this video.
    5
  10547. Thank you so easy to understand
    5
  10548. Topology kicked my ass in undergrad.
    5
  10549. Do these recent stock trading videos mean we're getting videos about stochastic calculus soon? 🎉
    5
  10550. Greetings Mr.Professor, - Wonderful Textbook to navigate through Pure Mathematics in Scientific World Perspective for Academia. Thanks. Take Care, Professor. With regards, RanjithJoseph (R.J)
    5
  10551. Thank you bro, can i get a heart on this comment D: ?
    5
  10552. :-)
    5
  10553. I have a complex variable book that is I think exactly 100 years old
    5
  10554. Your videos are saving my life right now
    5
  10555. How do you feel about using online resources such as Khan Academy over books like these to learn math? Is one better than the other? At the moment I'm very behind in math and am trying to rebuild my foundations so that I can hopefully study computer science in the future.
    5
  10556. The truth is that you don't need these books to become a senior software engineer
    5
  10557. Yeah software engineering != Computer Science
    5
  10558. Differential Equations is the math class I forgot immediately after graduating, even though I had a spectacular professor.
    5
  10559. University in the UK was free (at least up to Bsc(Hons) level) when I went to university in the 1980s and you got a student grant to live off. You had to get good enough A levels for a university to accept you and there were only places for 10% of school leavers, that was the difficulty. Now there are much more places, but you have to pay no matter how poor you are. You don't have to pay upfront though. You can get student loans and if you never get an high enough salary you never have to pay the loan back. It gets written off after 30 years I believe. That is what I think but I'm not an expert on the current system.
    5
  10560. Make a video about how calculus is easy but people make it harder😅
    5
  10561. Thank you for all the content you have been sharing with us, so my question is do you have to solve all of the exercises when learning thick books like these??
    5
  10562. Thank you for this. My abstract algebra lecturer talks as fast as she can write on the board, and I can't keep up mentally in real time! It's nice that you can take your time and explain as you go..I was able to keep up and even able to see how the proof was going to unfold once you got into it. That was a VERY good feeling, I never manage to do that in a fast paced lecture!
    5
  10563. Nice
    5
  10564. We find your videos helpful and informative. Keep up the good work. God bless you and your channel.
    5
  10565. That thing about the AI and using to help. AI is not really AI but rather a very good search engine, so if there are less content of it on the internet then it will be less accurate. the AI is faulty for anything above calculus because it cannot think
    5
  10566. Thank you
    5
  10567. Mir books are great at every level.
    5
  10568. I need your recommendation, I need a good book to study permutations and combinations from. I am learning in STEM education, so I need a good source that contains simple explanation + lots of problems in different levels (life apps problems of course.)
    5
  10569. You can find Franz's volume two Algebraic topology on libgen.rs Just look up his name and his book should show up. The book is written in a terse manner. It is a good book for study review but not as a first time around.
    5
  10570. At the high school level, I know of students who physically and/or sexually assaulted their teachers, and yet somehow didn't fail. (Although they were often arrested and didn't graduate.)
    5
  10571. What is the second partial derivative ?? And how this to find
    5
  10572. So what you're saying is - if you want to get a degree in your passion, you must be emotionally mature enough to confidently prioritize that passion despite the risks? Wish I would have known this sooner.
    5
  10573. The indian guy wants to become sucessful trader in option and futures
    5
  10574. thanks for your persistence
    5
  10575. 1) You need both the players handbook and the dungeon masters books to complete courses AB and BC
    5
  10576. Better than my professor
    5
  10577. Discrete mathematics
    5
  10578. Funny. I study languages as a hobby and watch math videos in Spanish to learn the vocab. I only have enough now where I can teach Spanish speakers how to add fractions with different denominators but don't anticipate ever having enough vocab to explain finding the derivative of a function.
    5
  10579. Paul Halmos also mentioned Axiomatic Set Theory by Patrick Suppes in his book Naive Set Theory in addition to Hausdorff's book
    5
  10580. Haven't you shown this book earlier?
    5
  10581. This video is so good, I wonder why no one comments this?????
    5
  10582. Logic is key, also kind of neglected by many mathematicians
    5
  10583. Is it possible to teach yourself basic mathematics like algebra, trigonometry, geometry, calculus, differential equations, physics, probability, and engineering mathematics?
    5
  10584. Damn it, because I hadn't internet the last month I couldn't see any video of yours. Your videos are inspiring, thank you Mr. Sorcerer
    5
  10585. I really like how this book is laid out. Super dense and concise with no fluff. It makes me want to focus and learn.
    5
  10586. the case with math is similar to that of a forbidden foreign language. those who dare seem smart by those who don't. math professors, even the smartest ones, fall into the same pitfall (pun) other people do.
    5
  10587. just started learning matrices today, god-like timing
    5
  10588. Thank you man, is the same exercise of "Equações Diferenciais Vol. 1 ed.3 - Dennis G. Zill e Michael R. Cullen, Page 362, Ex.37" Thank you so much, i have lost 1 hour for this exercise.
    5
  10589. great words, which inspire a feeling of confidence. its very hard not to compare, as other people are always on your mind, but one must remember these words and others. Thats why its useful to write things down.
    5
  10590. I’m taking mine in a few weeks . I clicked so fast when this video popped up on my feed …. I was like - great !!! advice on GRE from the great math soccer. I have been studying for months and could use some guidance…Only for you to say , just relax! haha your so cool ! 💕💕💕
    5
  10591. Life Saver - I looked all over for this proof
    5
  10592. First
    5
  10593. Thanks so much, you really made it fun to revise!
    5
  10594. I needed this today professor
    5
  10595. I did check to determine if there were other copies available from other sources. Walmart is offering a leather bound copy from SN Book World out of New Delhi. Priced at nearly $49/copy. So buyer be aware, online orders with Wal-Mart is a crap shoot.
    5
  10596. I have that book!!
    5
  10597. IQ may vary wildly at times as well. So you could have days where your cognitive performance is significantly better than other ones
    5
  10598. I've been needing an affirmation like this, thanks 🙏 back to triple integrals now🤙
    5
  10599. Hi, if you live in a noisy street like me I recommend using noise-cancelling headphones without music. In the hot months, I use the ones that go inside the ear. Cheers!
    5
  10600. Thanks man, these videos are great
    5
  10601. "Strange Math You've Never Seen" -- just pick up any book covering advanced Algebraic Topology (or Algebraic Geometry). 🙄
    5
  10602. This video really hit me. The same principles apply to any frustrating focus skill. It's a good reminder for my programming journey.
    5
  10603. Excellent
    5
  10604. Great advice. I would also add that a student should try to get information(video, reading, online, etc) before taking the class on what is calculus and why is it so important to learn.
    5
  10605. This was awesome! U just saved my 10 pts on exam 2morrow!!!! THANK U!!!!!!!!!!!!!
    5
  10606. I absolutely love how professional your videos are! :) Instead of just solving the problem, you explain even the stuff along the way to solving it. You even mention the interval of convergence here. It´s amazing!
    5
  10607. nice video ...but i have a confusion...why 1/(n+1)<1/n or 1/(n+1)=1/n? In which case is it possible to be 1/(n+1)=1/n?
    5
  10608. I really love this channel :') , this channel is a gem.
    5
  10609. thank you math sorcerer
    5
  10610. This is helpful! Nicely explained
    5
  10611. You should write a book and I will buy it. HaHa
    5
  10612. Jeff Bezos ?! Is that you??
    5
  10613. Generalize this please? Prove that if n is a non-negative integer, then sqrt(n) is either an integer or irrational number.
    5
  10614. Even though my field is computer science this video helped me a lot. It’s my final semester for my integrated MSc degree and the need for self learning has woken up and with that so is the “dark side”. I did a lot of self digging and the words the sticked out the most were the ones you mentioned, “stupid”, “unfocused”, “lazy”, “lost my charisma” and all of this because I didn’t accept that some things are just difficult. I realised that if the expectations from yourself are above the limit you can’t think right, instead of thinking creatively to solve the problem your thoughts are filled with negativity and disappointment because “it was supposed to be easy”. I keep a lot of things from your video and sorry for my low donation, I wanted to show an act of gratitude.
    5
  10615. I've learned this through my calculus, never give up! Thank you!
    5
  10616. None, moreover, I would strongly suggest taking them simultaneously
    5
  10617. As always. Top tier content hahaha
    5
  10618. Ok man I appreciate the grind is real! I will rock this exam on Friday!! differential equations and calculus 3 will NOT DETER ME! Thank you!
    5
  10619. I thought the best one was made by Piskunov.
    5
  10620. whoever disliked this does NOT have swag
    5
  10621. Sir, thank you so much.
    5
  10622. “I will not sniff this book… *explains how sniffing book is dangerous*… oh I’ll risk it anyways *snifs book*” you may be addicted to sniffing books 😂
    5
  10623. CSE is the most sought after course in IITs too.Average compensation for them is like always nearly twice than that of mechanical engineering students.At present CS seems to be dominating almost every other major when it comes to jobs
    5
  10624. Beautiful session looking for more similar sessions on calculus 3 😀
    5
  10625.  @TheMathSorcerer  Bruh, I have real analysis now not later. By the time you make a video on them. I'll have a family, 10 Grandchildren, and an island in the Cayman.
    5
  10626. thank you ❤
    5
  10627. I know this book, Heard- many good things about it!!
    5
  10628. wow I really like your teaching style! I wish I had you for my calculus professor
    5
  10629. Linear algebra.Linear algebra is everywhere.From topology to quantum mechanics,from calculus to biology.
    5
  10630. Abbott's Understanding Analysis first edition has answers (online but published by Abbott) to every single problem!
    5
  10631. Woah this is some content that I usually research! How'd you suddenly post something so relevant to what I like??
    5
  10632. Thank you for this video. I just returned to maths after 15 years away from school. I hope to go further this time then I’ve ever gone before and this was the perfect video to guide me :)
    5
  10633. Wizards? Biggest clickbait in youtube history. Haha. By the way, I am starting to write a middle point between an essay and a textbook in basic mathematics for maeby a future publication in my country, wish me luck I will need it.
    5
  10634. Loving the book shelf! I do want to tell you that my husband used your recommendation for intro to topology by Gamelin and Greene and got me the book for our anniversary. So thanks for recommendation 💕
    5
  10635. Make a video on aerospace engineering books. It will be very interesting ♡
    5
  10636. Thank you bro
    5
  10637. 30k subscribers congratulations 🎉🎊
    5
  10638. please do review of linear algebra done right
    5
  10639. That square root derivative problem solving cracked me up so bad, that is exactly how my teacher failed to answer my question... this made my day. ROFL 3:25
    5
  10640. You are such a nice teacher ,so expressive and jovial as well as you explains everything very well . Which class students are these people ?
    5
  10641. You're lectures sure are the best in my opinion! I love how engaging and enthusiastic you are, and it really keeps me tuned in! With I could have you as an actual teacher because you are one of the best to me!
    5
  10642. Is it a good idea to take Mathematical Biology and Astrophysics, instead of Quantum Mechanics and Astrophysics for elective papers in MSc Math, if I want to explore different fields.
    5
  10643. “The homework is just good to do” hit different
    5
  10644. hey i am doing undergrad on CS and as of interest i am also studying aerospace engineering can you help me with finding authentic structured syllabus and which books to read of aerospace engineering. sorry my english is bad.
    5
  10645. Merry Christmas and a happy new year, sorcerer!! ❤💝🙌🙏🙌💝❤
    5
  10646. Boy am I glad I tested out of these classes just so I never had to do their never ending homework
    5
  10647. Before attempting a goal, it seems like I can foresee every scenario and predict every eventuality. Seeing those scenarios play out in my head convinces myself that the effort is not worth it. Sometimes you just have to act a fool and go for it anyway. Smarts isn’t always an asset. It makes you cynical but we know ignorance is bliss. So attempt to be ignorant sometimes.
    5
  10648. This really helped, thank you
    5
  10649. Thanks sir I found the answer that i need The diagram representation.
    5
  10650. What courses did you take for A.I.? I'm an intermediate learner interested in many things. I am self-studying.
    5
  10651. Congrats Amy! That is a beautiful achievement! That inspires me to keep going.
    5
  10652. "There are no grades in this classroom...do your best you will get an A in this class." Perhaps math professors never say this since it's a contradiction.
    5
  10653.  @TheMathSorcerer  Sir, I would definitely encourage you making a math book for these college courses. Like a study guide that they usually have for high school subjects. I feel it would garner more interest around math because your style of explanation is absolutely spot-on that even my friend in 12th grade who was studying with me could understand this. Thank you for your time sir!
    5
  10654. In 10 years from now "how to upload all of math into your neurolink 2.0"
    5
  10655. I like the short format showing simple solutions to everyday math calculations/problems.
    5
  10656. Wow, it would probably be more accurate for me to judge if I see his facial expression and vocal tone but based on what you've exposited this guy seems really tongue and cheek. Giving this praise and then saying sorry we cannot accept. Do not know whether the praise was genuine and he was sad in declining your application or he was pretentious.
    5
  10657. Sir, u r not replying.... Why?
    5
  10658.  @Math.secrets  okk sir
    5
  10659. "It's going to get messy now. It's going to get crazy." Sicko: "Haha YES"
    5
  10660. Prerequisites for all classes must include CAP 8550 Load Letter Theory w/ Lab and Discussion
    5
  10661. I remember a related concept of "adherent points". A set is closed iff it contains all its adherent points. The proof is almost the same. I think the only real difference is when it comes to the singleton set, {x}.
    5
  10662. "He must be having a good teacher."
    5
  10663. Thank you so much. You are indeed an invisible teacher. Your educative videos save me a lot of stress.
    5
  10664. Great Calculus lectures! You have a way of making your classes interesting and full of energy. Your style of teaching is engaging. Just saying because we are grateful for having access to educational materials such as these. I already took a lot of Calculus classes before but some things are just clearer in your lectures, and they help me refine what I know. From Philippines, Southeast Asia
    5
  10665. I actually had a professor that had voluntary homework. The tests were basically the medium level questions from the homework over again.
    5
  10666. Y el especial 1 millón de subscriptores?😢
    5
  10667. First!
    5
  10668. Out of curiosity, do you still have the document explaining the Epsilon-Delta proof? I'd love to read it. Thanks :)
    5
  10669. To be honest I like your videos, they motivate me a lot, I think you are a genius yourself
    5
  10670. cover MULTIVARIABLE STOCHASTIC CALCULUS pls Have u taken course in it?
    5
  10671. This series of posts has been great. I love the coverage of a healthy, holistic approach to a journey in Mathematics.
    5
  10672. I'm a college student and I've never experienced a math professor before cuz i am asleep the whole time
    5
  10673. I did very very well in Calc1 &3. I think what helped me a lot is that I had read and worked several times a book called "precalculus demystified" which is not considered as a textbook but I liked it so much. I think it helped me a lot even I didn't understand calc concepts but I had a solid algebra and precalc background. So when I was trying to understand when I get stuck in a problem I only had to deal with calculus concepts. for example : when you solve a limit of rational function. You don't try to understand how to factorize the polynomials... You only deal with the idea of taking the limit of the fraction of polynomes with higher degrees... Or to use de l'Hopital rule ... or when to use squeeze theorem ... But for people who have already started their semester it is better to focus on your Calc book and solve as many problems you can. Try to find in which step you get stuck and try to formulate the name of it and you can look it up on internet. Once you can solve problems with no mistakes try to develop a way to check your answers without looking at solutions. And time yourself when preparing for your exam and try to go as fast as you can without making mistakes. This will take you from 70%-80% to 90%-100%.
    5
  10674. What if we have (fog)(0) instead fog(x). We replace the x by 0?
    5
  10675. As soon as I saw line three, I realized that this was going to diverge. After all, you can't defer -п to the end of an infinite series. 🤔
    5
  10676. I'm not a math major. I'm an engineer by trade. I just dont understand proofs
    5
  10677. Wow this is so cool!!!! I wonder why I never came across this in my undergrad courses. What a time saver. I kind of want to see the proof of this method to see how this works.
    5
  10678. It was excellent, This video was helpful, I'm in the high school, just one more year and let's go to undergraduation in pure mathematics, I've been studying real analysis, linear algebra, metric spaces, python, number theory, It's pretty cool and beautiful, the part more important for me was: "The test is a just detail", damn, it might be a theorem (LOL), anyway, I was never care about test and my grades are great, so guys, don't do math for good grades, do math because all of you love it! -A friend from Brazil 👍
    5
  10679. Thank you
    5
  10680. This is very helpful thx Got a math problem for it and wasn't sure what to do lol 🙌
    5
  10681. Thank u for your social service.
    5
  10682. Hah! Had this text in my Analysis I and I walked away very bruised (and withdrew from the class that semester)! English is my second language and this book just smeared me! Intro to Analysis by William Wade went infinitely better for me.
    5
  10683. Please keep uploading these videos they inspire me
    5
  10684. My pet hate is the phrase "it can clearly be shown that". Every time I see it or hear it there's a tiny scream in my head because you just know it will take hours, days or even months to be able to say "yes".
    5
  10685. I once had this math professor who was super jacked that you remind me of
    5
  10686. what a legend.. thank you
    5
  10687.  @theseusswore  new and old! Used bookstores smell like a home away from home, I'm glad I've found myself in cultured book smelling folks here hahaha
    5
  10688. Right, I go for old-fashioned exams.
    5
  10689. Melt my ❤️ 😊
    5
  10690. Great video! And great YT channel!
    5
  10691. The greatest failure is to never try again.
    5
  10692. My friend just got his forth girl in a row... That's 0.0625 probability 😅.
    5
  10693. God bless you
    5
  10694. I love how active he is he uploads video almost everyday and has changed me a lot a true legend
    5
  10695. Hey. The books you mentioned here are obviously good and standard texts. But I suggest that the book that is easier and more intuitive would be the Topology book written by K D Joshi. Just have a glimpse over it. You will find it in the Internet. Thanks.
    5
  10696. My multi variable calculus professor said that the epsilon delta proof was too hard to prove there exists a limit for a multi variable function and we are just proving there does not exists a limit instead. Well I did a crash course and did a couple problems using the limit of epsilon delta proof on a single variable and here I am! I am just confused with you said that the absolute value of y times the absolute value of x cubed divided by x squared plus y to the fourth is less than or equal to the absolute value of y times x cubed divided by x squared? Nvrm I just realized that the bigger the denominator the smaller the value. Wow how funny how that helped me understand right now by typing it out haha. Thank you!
    5
  10697. Real. I now know function etc. relation. And trigno etc. Limits and derivatives etc. some fundamentals idea of integration, differentiation. What to do .
    5
  10698. I SWEAR U ARE THE SMARTEST PERSON IN UR SCHOOL
    5
  10699. I’d give a kidney for this guy what a lifesaver
    5
  10700. Thanks i tried for so long to get what i needed to know from my text book but I just couldnt make sense of it, this helped alot
    5
  10701. so clear and easy to understand, thank you! my diff. eq. professor never does examples in class only gives math jokes and the history of Euler and bernoulli so I sit down to do a problem an do not even know where to start. thank you so much for the help (btw also never learned the tabular integration by parts in calc or 3)
    5
  10702. hey, thanks, this did help..... btw happy new year!!
    5
  10703. Is Physics 1 full of Calculus 1 material or does it use it every now and then?
    5
  10704. Thank you for this video! You explain this so well which is helping me prep for my differential equations exam! You're a lifesaver!
    5
  10705. I struggled with calc 1 so much that I took it twice. I do think calc 2 was harder but I really applied myself this past semester and smashed it! However, I am not sure what to expect next semester in calc 3 so that is what I am researching right now.
    5
  10706. Nice video.
    5
  10707. Love these kinds of videos! You're inspiring me more than you would think. ♥️
    5
  10708. That's your past, rather regretting over it push yourself harder than before to restore your self worth again.what other will going to think it's there choice but what u think about yourself that matters a lot.
    5
  10709. You're a great inspiration
    5
  10710. I bought the 4th edition several years ago because it is the text for the Herb Gross MIT Calculus Revisted Open Courseware series.
    5
  10711. Wow, putting out a lot of cool content out, all hail the math sorcerer! :d
    5
  10712. judging by your library, do you actually have time to read anything not math related?
    5
  10713. Please make a video on how to self study math as a hobby.
    5
  10714. I noticed that the camera follows you. Is this through an app of some sort or a special camera?
    5
  10715. you have to know material well, to do research and write dissertation , so of course it test has to harder and they have more in depth hence it would limit how much you know and thus how much can contribute. So those problems you didn't master in your calculus or linear algebra book at the undergrad or only a few students got them right on the test, you need to get back to them, study more and try to master them, if you plan to do grad work.
    5
  10716. cos(arcsin(2x)) = sqrt( cos(arcsin(2x))^2 ) = sqrt( 1-sin(arcsin(2x))^2 ) = sqrt( 1-(2x)^2 ) = sqrt( 1 - 4x^2 )
    5
  10717. Figure out all the algebraic identities and the rules and you can solve anything. Even partial differential equations is all about how well you can use algebra
    5
  10718. Just a few nitpickey things, but you should forward declare the power function before main and include the variable types in the parameters of power.
    5
  10719. It’s sometimes overwhelming on how much math there is. I think there is too much at times. It feels like you’re playing 300 years of catch up lol. Maybe this is bad advice but a friend of mine said that you should skip long proofs if it doesn’t help understanding the theorem.
    5
  10720. I wanted to stay focused, but I have focused only on the bongos on the left.
    5
  10721. I thought only indians go through this
    5
  10722. I think that since f is assumed to be smooth, f''(x)=0 actually holds for all inflection points, so in that context it is a valid statement.
    5
  10723. This video is very sus.
    5
  10724. Intuitively obvious , but the proof is an another problem, isn't it? Meanwhile I'm enjoying a cup of cardamom coffee now, just a smidgen cardamom into coffee ,then you can experience the depth of flavor of coffee ! Please try it.
    5
  10725. To check each section my teacher and the book used a way where u use negatives and positves but I dont understand that way and I find this way easier so imma just stick this.
    5
  10726. One of my math profs did say attendance isn't mandatory and that he doesn't believe in homework 😂
    5
  10727. Can you do a video about your soviet era/MIR books collection?
    5
  10728. Oftentimes what seems a straight forward task takes longer than one might expect.
    5
  10729. I want to get a computer science degree, but I would have to take all three calculus classes just to get my associates, so what I'm doing is taking Calculus 1, and if I end up bombing it, I'll just switch to a different degree. But I don't plan on just letting myself fail. I'll do all of the studying and extra work I need to to pass.
    5
  10730. The beef I have with this book is that it's extremely basic (for physics majors). This was the forced change when at my Undergrad institution programs were cut from five years to four years, and three physics basic courses had to be packed into two (i.e., three semesters of physics courses had to be taught in two semesters). Not the fault of the authors, because book companies and deals, but if you really want a good book: Giancoli Physics (either algebra or calculus based). Even an older edition will do.
    5
  10731. Great video, thanks !
    5
  10732. I put in the time, the self confidence, the work ethic and still flunked spectacularly. So I tried to think about what my mistake was, and the scary thing is that it was a mistake I wasn't even aware of doing until failure hit me like a train. I realized that I was doing always the easy stuff. When I found a problem that I couldn't solve I spent some 30 minutes on it and then moved to something else. Sometimes the answer came later, sometimes it didn't and I didn't ask for help, I simply ignored it. Then things start to pile up and it's no surprise that the test asks for those difficult concepts that you let slip by. Only now I think I understand what working hard means, as opposed to merely working for a long time. You have to spend long hours doing hard things and, one day, the magic will happen. I paid a high price for this seemingly obvious lesson, so here I share it with you, hoping to save you some trouble in the future. I hope this might be as useful for you to read as it was for me to write, good luck random person on the internet.
    5
  10733. "How To Read and Do Proofs" by Solow is very helpful for learning several proof techniques.
    5
  10734. Thanks for your recommendation. We learn so much from you
    5
  10735. I wish i have these books,😢 because i am really bad at math.I really want to become like you, your my inspiration.
    5
  10736. Welcome back
    5
  10737. Smell and feel of the book is always the most exciting thing about old books. Even though the covers are usually not that pretty, the feel is just on another level. I even have a maths book like from 50s in a really good shape. The pages feel awesome and the cover is a lader-ish hard cover, which is super cool to feel in hands. Unfortunately, the book is written in russian, so I cant read it, but still it is amazing stuff. Also measuring the size of the book using horse head as a unit of measurement is so american haha.
    5
  10738. First time first!
    5
  10739. ❤️❤️❤️❤️
    5
  10740. I love these videos! These are some powerful books. Spivak is my favorite one.
    5
  10741. I have a passion towards math and now I feel like I'm gonna keep learning it forever. I just want to find the equations and patterns that explains how nature behaves and what math has to say about reality itself.
    5
  10742. This book would be useful for software engineers and algorithm design
    5
  10743. Thanks 😉😉
    5
  10744. What a great advice! Prophet Muhammad peace be upon him said: “No one is given a gift that is better and more comprehensive than patience.” we need patience In our whole lives, no one can stay standing up without patience!
    5
  10745. Thanks for good tips
    5
  10746. I am interested in your opinion and comments about the mathematics of the Australian mathematician and YouTuber Professor Norman Wildberger. Specifically, he has been speaking against using real numbers in favor of using rational numbers, and building what he calls a more logically consistent advanced mathematics from the base of rationals, not reals. Also, Professor Wildberger has created a newer set of ideas he calls rational trigonometry, and has some videos in which he explains how rational trigonometry differs from what is usually taught as that subject. I am trying to keep an open mind about this new subject matter, and am looking for discussions of comparisons, contrasts, and insights into Wildberger's work. Have you any comments about the subject matters published by this Australian YouTuber?
    5
  10747. It's pretty funny that you mention how math makes you hungry, because I was doing some review for my upcoming analysis exam and I decided to take my math snack break as I watch this video!
    5
  10748. Man, you saved me! thanks for sharing, new sub :)
    5
  10749. 🙊 You're not supposed to tell anyone keep it to yourself. Just let the world see the outcome. Don't give anyone the chance to discourage you.
    5
  10750. Very nice 👍🏼👍🏼😂😂😂😂
    5
  10751. That’s how Pros do it
    5
  10752. My mentor was good friends with Serge Lang. He talked to me about how unbelievably prolific Serge Lang was. Unfortunately, Professor Lang died a few years before I got there, But I heard he through pens at his students. I love his Algebra book btw. No Chaff and a crystal clear exposition on Homological Algebra.
    5
  10753. what is the nth term for 6 , 10 , 14 , 18 , 22
    5
  10754. Crazy, he’s from Cuba I think
    5
  10755. Remember to take breaks so your brain has downtime to process what you have learned. This can be particularly difficult when you are anxious about your grade in a specific class, but after a certain point putting more pressure on yourself can be detrimental to reaching your goal. As the @MathSorcerer advises, experiment with your optimal study time and processes, but also experiment with optimizing your time off/relaxation and exploring activities re-fuel you. Celebrate your wins. Also important: don’t judge yourself against other people. What works for them might not be what you need. Best wishes. There are lots of people out here rooting for you!
    5
  10756.  @clipit4503  Lol, same.
    5
  10757. nothing like a good squeeze
    5
  10758. Omg thank you so much! I've been having problems with series and sequences in my Cal 2 class and this video helps a lot! This vid DESERVES more likes!
    5
  10759. I was feeling really down today. But your enthusiasm made my day much better. Excellent Video. Thanks :)
    5
  10760. I love these math book discussion videos! please do more!
    5
  10761. I admire the male dramatic scene.
    5
  10762. Your a great teacher, I loved my choice in majors but it would have def been better if I had lecturers like you. Keep being humble and putting out all this awesome material.👍
    5
  10763. funny you should say that, i got into math halfway through a music course. got somewhat serious after i finished it.
    5
  10764. I love that!
    5
  10765. Thank you so much for this video. I'm considering becoming a math teacher (assuming I can complete a math degree) to try to inject some energy and fun into a dry topic like math along with encouraging the students to understand the material rather than memorize a bunch of formulas. I love watching your entertaining lectures and hope to be half as good as you if I ever teach. You are such an inspiration!
    5
  10766. I got the scholarship to ICTP, Italy. But I am worried the covid 19 will screw up the things !
    5
  10767. I am watching this, while it is very stormy outside, all those howling winds, rattling doors, creaking sounds of hinges on door frames. Bad weather. Pity, there are no math exams for myself, as I am self-studying maths as only a hobby. Add. I intend to lose concentration, only sometimes.
    5
  10768. I'm working through a review this very material right now! I see from the photo she draws arrows over her vectors. Teachers who don't do this really irritate me! (Especially with this material where ds , the differential of surface, is different from ds [arrow over s], the vector.)
    5
  10769. ...perhaps.
    5
  10770. I wish to find more math books and can see the reviews and the entries of it plus the pen.
    5
  10771. As I'm heading out to phys 2 final thank you for the positive energy ❤️❤️❤️👏👏👏👌 I'm gonna rock this exam 😍😍😍 God bless you 👏
    5
  10772. I got a weird problem with math...whenever I come across a hard problem my heart is racing and I cry...I can't control it 🙁
    5
  10773. Thanks. You’ve inspired me to get my copy of “‘Meditations’ off the bookshelf to read every day.
    5
  10774. The first time I'm the first to like a video.
    5
  10775. Nice
    5
  10776. I've been loving your motivational shorts! You should create more!
    5
  10777. Not a math major, but currently taking complex analysis and integral transformations plus P.D.E and fourier series. One of the best courses!
    5
  10778. I've made so much progress this week since i decided to put my phone across the room while studying so I won't be tempted to pick it up and look at it
    5
  10779. Genial, locamente, con los videos explicativos en español sentí que no entendía nada :( Solamente habían ejemplos muy difíciles. Fuiste muy amable para explicar <3 tkm
    5
  10780. I was wondering if you had any advice on coming up with proofs for homework and such. I'm in my first year of undergrad and only just learned to write proofs a year ago, so its still kind of new to me. I can definitely tell that I have improved but I still find myself having the same issues on my homeworks; particularly in Number Theory. In Number Theory I often find my self going down rabbit holes. I spend lots of time trying all sorts of different things but I always seem to overlook something and miss a subtle bit of algebra, or nothing connects in my head that I need to use something from much earlier in the semester. How do you reconcile this and become better at seeing the solutions to problems, and how do you stay motivated to keep working on a really hard problem when you aren't making any progress?
    5
  10781. Honestly, I’d say if combinatorics/prob theory. I had an easier time in analysis and abstract algebra.
    5
  10782. " 1966 that was soooo long ago ...". Young whippersnapper!!!!
    5
  10783. It was always my dream to be a mathematician. Going through bachelors in mathematics!
    5
  10784. For beginners in probability I recommend : "Introductory Probability and Statistical Applications by Paul Meyer" ,"First Course in Probability by Ross" For Statistics I recommend : "Introduction to the theory of statistics by Mood" ( he also has probability)
    5
  10785. Thank you so much I totally get it.
    5
  10786. I just came across your ODE videos today. These help out a LOT more than my own online class videos! Thanks so much for making them. We're up to this material too. Not sure if you're using the same book by Nagle/Saff/Snider. Fundamentals of Differential Equations, 9th Edition.
    5
  10787. This has become some sort of motivational speech that I come to time and time again, so useful as reminder that we CAN keep up and sprints can get us ahead of our self dounbts. I´m even considering to start learning math, my Achilles´s heel from high school. Thanks for your input
    5
  10788. I also have this book I think it was produced in the early 1970s and it very detailed in the context.
    5
  10789. Thanks. Great Explanation.
    5
  10790. I would say that if you have an absolute thorough command of Algebra you will find Calculus much easier to understand.
    5
  10791. Algebra is God.
    5
  10792. Please make one for mathematics for economics as well ❤
    5
  10793. My syllabus for self-study for this year: The Philosophy of Set Theory: An Historical Introduction to Cantor's Paradise Set Theory: An Open Introduction Naïve Set Theory Schaum's Outline of Theory and Problems of Set Theory and Related Topics Book of Proof Proofs: A Long-Form Mathematics Textbook Topology without Tears Elements of Point-Set Topology Introduction to Topology: Second Edition Schaum's Outline of General Topology Elementary Point-Set Topology: A Transition to Advanced Mathematics Topology by James Munkres
    5
  10794. Sir There is no need to integrate the function . Since lower and upper limits are same, the integral is zero .
    5
  10795. Tengo ese libro y es muy claro en la exposición de cada concepto. Un saludo!
    5
  10796. Yes. I thought we will start from addition and subtraction.
    5
  10797. ty
    5
  10798. Excelente, muchas gracias por la recomendación. Eres de mis canales favoritos sobre matemáticas. Feliz navidad y próspero año nuevo!
    5
  10799. Most of what I remember from Algebra I learned from Isaac Asimov’s “Realm of Algebra”. Btw, Asimov in his book “Asimov on Numbers” Simon & Schuster, 1959) recommends “A Modern Introduction to Mathematics” (Prentice-Hall, 1956) by John E. Freund.
    5
  10800. This semester I had one mathmatician student on my Quantum Mechanics lessons and was so funny. Every time my physics teacher did some aproximations he said "I must be carefull with the guy, if not he will kill me". Was a very good experience for all of was, and I think Quantum Mechanics is a very good class to get if the mathmaticians are really into to Linear Algebra, the course is basically that, with only some details of physics. The math sorcerer if you want to do a video talking about your experiences do it, I really want to ear, the classes you got, wich do you liked more, and to talk about the approximations by physics, is allways a funny moment to talk. I have friend taking Physics in the minor of maths, he is taking a lot maths classes and he is starting to be converted to a mathmaticians, he is very precise with the math, and in some classes, like optics he hates, because that class have a lot silly aproximations. And if you want to show your books in phyiscs is incredible. Continue with your awseome work.
    5
  10801. It's helpful ! thank you! you should do a series in PDE
    5
  10802. Thanks for the video!
    5
  10803. Serway was pretty good. I used Howard Anton for Calculus and it is my favorite book in the world!!
    5
  10804. Wackerly is a little repetitive. It is a good reference. There is a lot of z-tests and normal distribution material (just like every other stats book). There are less mathematically intense books capable of providing a more welcoming path into statistics. I would recommend looking into the book "statistics" by McClave before you dive into Wackerly. It's clearly a simpler approach to statistics. Reviewing both books side by side will help you pick the book for your skill level.
    5
  10805. Calc 2 was definitely the hardest, I panicked when first introduced to shell/washer method..i also series part super fun and had zero struggles
    5
  10806. I am not from Brazil 😅 But I still love your channel! Especially the parts where you discover older mathematics book and tell us all about it. The one about differential equations was more helpful than any other book I could find at my University's library 👌 PS: I study both Mathematical Engineering and Computer Science, hopefully I'll get to Computer Engineering in the future.
    5
  10807. I think a good sugestion is ''books on theoretical physics'', covering Advanced Linear Algebra, Group Theory/Representation Theory(Particle physics loves these topics), topology(Condensed Matter), differential geometry and manifolds(General Relativity). Some Mathematical Physics books tries to cover these topics, but personaly I like some ''more mathematical books'' than ''physicists books''.
    5
  10808. EW!! This is the kind of shit that turn people off from math and these are the kind of professors that make sure you hate math. I had a professor for clac 1 that used to say : " I am gonna make this exam brutal ! " I got F and most of the class did too. Screw these practices.
    5
  10809. this video was 100 times better than my professors lectures. You were able to explain this process in 10 minutes, whereas he has explained it for hours across multiple days and I never got it until now!!
    5
  10810. I have a friend studying at the same time as me, he is 28 years old and will finish when about 32-33. He is an inspiration that it's never too late to study math or anything.
    5
  10811. Math Sorcerer is awesome! Imma go ACE something!!!
    5
  10812. Great find and review. More please!
    5
  10813. YES
    5
  10814. he nearly got a double major in math and compsci but dropped out of compsci near the finals
    5
  10815. Thank you very match, Professor! I am going through a probability course and this was very helpful.
    5
  10816. Thank you!
    5
  10817. Thought so too 😂
    5
  10818. 🧡
    5
  10819. Please make a series teaching partial differential equations
    5
  10820. Sir, you acknowledged my comment , I cannot explain how glad I am and this video is very very comfortable to watch. Thank you so much sir.
    5
  10821. Damn this was good..more more!!
    5
  10822. .
    5
  10823. Questions like this are common in VCE (a curriculum in aus) really nice explanation on the domain and how to solve it!
    5
  10824. Nice video, smooth and compact rundown. However at the end you mention the dihedral group containing 8 elements but what you put down is D8 - which has 16 elements, can you explain this?
    5
  10825. As I Chinese student, I mean get meth education in China mainland, we do quiet amount of practices and many of them are pretty hard, but I still feel that I have no idea about the essence of Math until I reached calculus.
    5
  10826. Enjoying your videos a lot. For me, saving the solutions in a notebook didn't help. I need to repeat an exercise if it's been more than a few weeks, so I started throwing them away, forcing myself to repeat them. Just looking at the solution I already did doesn't help me. Could be because I'm over 60 and the memory isn't what it used to be. I decided to start a second degree in Math & Physics a few years ago :-)
    5
  10827. Thankssssssssssss Professor! (: xD This is the only good thing that has happened in today's sad little Diwali festival lol 😅 Really grateful 🙏
    5
  10828. This is so good, you forgot opening multiple tabs and viewing the lessons on double speed.
    5
  10829. Damn man... you really love Linear Algebra, you recomended like 10 books on the subject 😂. And about the thing you said, "you always wanna study what you don't have to study", I don't think truer words have been spoken 😂.
    5
  10830. I am from Romania and it's hard to buy books in English. To buy from eBay, it's very expensive because they ask for a lot of import fees. But it's cheaper to buy from Amazon because they don't ask for a lot of import fees. Thus, I am forced to buy a lot of English books from Amazon, or directly from the publisher (if the value of the book does not exceed the value of 150 euros, then I am obliged to pay import fees).
    5
  10831. The formula used is also known as Sri DharaCharya quadratic Formula
    5
  10832. Grades might matter in college. In grad school, you’re assumed to have moved past that, usually. At least in the good schools?
    5
  10833. Ahh I didn't understand it but you explained it very well and now I do :) thank you so much!!!
    5
  10834. Do I need crazy hair if I want to study math or physics?
    5
  10835. "The world is yours..." is on the globe in Tony Montana's mansion in film Scarface 1983 with Al Pacino. Majoring in math is never a bad idea. As an undergrad from 1993 (with ecology), it opens up more doors than it closes.
    5
  10836. hey! can you make a video on applied math vs pure math?
    5
  10837. Hay un libro que se llama "Matemáticas Simplificadas" de CONAMAT editorial Pearson e igual tiene muchos ejercicios y todos con respuesta. Baldor muy bueno.
    5
  10838. I think you will find many interesting physics books. However, for a broad overview of many topics: Conceptual Physics by Paul Hewitt and Lectures on Physics by Richard Feynman. As you progress, you may want more details and depth on certain topics. In that case, you may be able to try these books: Susan M. Lea Physics, The Nature of Things or Matter and Interactions by Ruth W. Chabay. However, as this Channel teaches us, you will need time, dedication and lots of books. PS: As you certainly know, Physics is a phenomenological science and the best books for it are those that explain how phenomena work and based on that they obtain the mathematical laws that best describe them. Do not buy any of the books I suggested. First try to read them in a public library or bookstore. https://www.amazon.com/Conceptual-Physics-Modified-Mastering-ValuePack/dp/0133913961 https://www.amazon.com/Feynman-Lectures-Physics-boxed-set/dp/0465023827 https://www.amazon.com/Physics-Nature-Susan-M-Lea/dp/0314052739 https://www.amazon.com/Matter-Interactions-4th-Ruth-Chabay-ebook/dp/B00UGE1KC2
    5
  10839. thanks
    5
  10840. Thanks so much! Maximal ideals are getting me crazy 😅
    5
  10841. I LOVE these kind of random motivational videos ! Man this is soooo motivational ! This really gives you the will and power to just blast the maths finals. Thank you so much Math Sorcerer !!
    5
  10842. Thank you sir
    5
  10843. Damn this is so underrated, yet so useful!! THIS CHANNEL IS THE ONLY REASON I PASSED MY FINALL REEEE THANKYOU! UR SO TALENTED
    5
  10844. To prevent burnout, I set myself a moderate goal each day: zero math problem today
    5
  10845. You can also turn 1/ln(10) in log(e), right?
    5
  10846. We need more math professors with that spirit <3
    5
  10847. too good.....love uh so much
    5
  10848. I say HOORAY ... I am doing the same , at 75 , that's what makes us so Sexy ... ;-)
    5
  10849. I used the 84... upgraded to the nspire..and I LOVE it...but they are both wonderful..
    5
  10850. Mathivation
    5
  10851. the advice is so good that the Math Sorcerer transformed into Gandalf the White
    5
  10852. I have this book ( plus a few more ), given to me by my dad, who was a mathematician. Been having this since the last 50 years. I still refer to this sometimes. I plotted some of the curves as per the last chapter using geogebra and the results were spectacular. One other use I found is that after the curve was plotted, you can feed in the scatter values to a Machine Learning program and train the system to see if they can recreate the curves. Of course you will get an algebraic power series expansion that closely models these curves but the curves themselves are remarkable. The chapter itself is called "Some remarkable curves" beginning on page 756... Never seen those curves in any other single book... By the way, the book was priced at Rs 12/- , about 20 cents at today's exchange rate !!
    5
  10853. My AP Calculus book was an 8th edition Thomas and Finney. When I got to university, I has to buy the Stewart book. While Stewart got the job done, the Thomas book really felt like there was extra care in describing the theory and examples. I even got a scan of an old copy to use as reference for vector calculus, which was really difficult!
    5
  10854. If you are looking for an author whose books are still being republished. Just look at the output of one of the 19th century best math book authors: Isaac Todhunter. I have just one in my library on "school algebra". It was designed for High Schools, but if you examined it you would find it is many levels above todays algebra texts used in high schools. Shows that American teaching in mathematics has been watered down. His book is even more advanced than college precalculus.
    5
  10855. English speaking countries usually don't separate the two and consider electronics a branch or subspecialty of electrical engineering.
    5
  10856. your built different my guy
    5
  10857. Nice review and good exposition about this great book by Prof Tao, a field madelist mathematician. Love from India. Thanks a lot for the videos.
    5
  10858. Great advise. I made all these three mistakes. I took six classes per semester and completed 150 credits in four years. I was working part time and did not study during my first two years of college. I made it up by attending graduate school part time while I was working full time.
    5
  10859. Who needs an air freshener when you can have a shelf full with old math books.
    5
  10860. Thank you 1. Why it happens 2. Set small goals 3. Create a schedule 4. Stay accountable 5. Celebrate success
    5
  10861. You should also look at Concept of Modern Physics by Arthur Beiser it has a similar structure and the book on relativity by Robert Resnik
    5
  10862. I solved your puzzle about the 3rd Vol. I had a feeling it is Chinese. I used my Google Translator to scan a screen shot of the seal. It concurred with me what language it is. I don't know what it says, I don't know Chinese, just what it looks like. If you want to know what it says there are several avenues to have it translated. I hope that this answer as to what language it is helps you.
    5
  10863. I have the two books on either end, but I'm missing the middle book. Math is a language, and Proof Writing is English for Math Students. I'm tutoring a few students in Geometry, who thought that it would only be about shapes, and finding area and volume. The difficult part is teaching them proofs. They're first learning how to think logically, and also learning about the basics of rigor. It's extremely challenging, because they're still learning how to write well in English and support their topics in essays. It's worth it.
    5
  10864. isn't it enough to show the sequence is convergent
    5
  10865. Thanks sir :)
    5
  10866. You are an angel not a sorcerer! I needed that book, just in time Thank you so much 🥰
    5
  10867. Show your work, and check your answers.
    5
  10868. Thank you prof!!
    5
  10869. I believe one important factor that make old books more pleasurable to read are the yellowish pages, which can be a lot less taxing to the eyes than constantly staring at white pages, specially if read digitally. Also, I swear some of the old books used to have better fonts. Studies say that serif fonts that books normally use nowadays are more readable, but I still have the feeling that they make reading way less pleasurable.
    5
  10870. You are very straight to the point
    5
  10871. so weird when covid is mentioned and he barely heard of it. im sure a month after that they all heard about it lol
    5
  10872. 1-Fun. 2- More focused. 3-Time to read by yourself. 4-Everything stick with you. 5- Makes you better at what you're studying. 6- You can look back at what you've learned.
    5
  10873.  @TheMathSorcerer  This is awesome, thanks.
    5
  10874. finishing Vector Calculus next month, so happy to know that I'm prepared for university physics, Maxwell equations, relativity, quantum computing and all the beautiful stuff.
    5
  10875. Dude since when do you have near 1M followers?! that's insane, congrats, I feel like when I first subbed you were under 10k
    5
  10876. I wish i could take classes with you😢
    5
  10877. Thank you i am doing my exam in math
    5
  10878. Like these reminder videos
    5
  10879. I also reccomend The Princeton Companion to math, it’s a fantastic reference work for anything in pure mathematics
    5
  10880. Great math teacher with rockstar charisma, thanks
    5
  10881. Great advice!
    5
  10882. Your advices keep me motivated and have helped me a lot!
    5
  10883. Present sir 🙋‍♂️ i am your big fan 😊
    5
  10884. The best book on Trigonometry which I am using for IMO preparation is 103 Trigonometry Problems From the Training of the USA IMO Team by titu Andreescu and Zuming Feng :)
    5
  10885. When I say to my wife 'the maths sorcerer recommends..' she's like 'who is this mystical being you always speak of?'.
    5
  10886. Me:*Learning whole algebra in 20 pages PDF download. Math Sorcerer:"Well there are 4 books of pre-algebra" 😂😂😂😂
    5
  10887. My school shut down, we've been using zoom for classes. And we have a place to upload homework. So I've been learning to use latex to upload the homework.
    5
  10888. I always think if there’s someone out there that has figured out the problem before, then there’s no reason I can’t either
    5
  10889. Best dusk jacket
    5
  10890. and Jeff Bezos! Hahaha...
    5
  10891. I really can't wait to learn all of these bad boys!!! Wish me luck!!!
    5
  10892. Im re learning math at 33 because i want to be a graphics programmer in the gaming industry. Thank you, but im torrenting these books because dont have that kind of budget. When im rich, ill buy the physical copies.
    5
  10893. dang the 2nd edition is SUPER cheap!
    5
  10894. You: "I hope that made sense" Me *Screaming*: "IT DID!"
    5
  10895. Just learned my unit circle in class and could solve this through the notification 😁👍
    5
  10896. jay cummings seems the kinda guy you'd laugh while reading his books, even though they are about a tough subject
    5
  10897. I think the curriculum can be disappointing. I chose CS because I got in through night school and couldn't take EE. I ended up not being able to take math or physics courses I would have liked for credit and had to take a few programming courses that seemed like a waste. Also the job market is actually very crowded because of the popularity of people wanting coding jobs. I don't have a job yet.
    5
  10898. Woaaahhh thanks for actually explaining it in a way that can be understood
    5
  10899. Thanks for this video sensei🙏 I almost give up on my physics course.but its a great timing this stuff came to me.Wish you'll stay active until I graduate🙏🙏
    5
  10900. Second
    5
  10901. Jeff bezos with hair
    5
  10902. thank you mr , Wits university student in southafrica😛
    5
  10903. wow👏👏👏simple and straight forward. Thank you so much👌✨
    5
  10904. How to learn math in a week: study.
    5
  10905. Not necessarily. Theres alot you can do with a math degree. Such as BI analyst, data analyst, data scientist, data engineering, and list goes on.
    5
  10906. I bought a math book today on Amazon. It will help me and support your channel. :)
    5
  10907. "But reading a book just gives much more" completely true for me. I will be watching your math videos, though.
    5
  10908. Please make one video on Applied and pure Mathematics. How much important is pure mathematics for students of applied mathematics in postgrad?
    5
  10909. I have the Linear Algebra 5th edition by the same author. I also have the Fundamentals of Complex Analysis book.
    5
  10910. I didn't go through the affiliate, I would really have loved to contribute some pizza but it was like $100+. I managed to find your exact edition on ebay for $8 dollar. Thank you for the book recommendation, this stuff is extremely hard for me, and solutions are what I need :-)
    5
  10911. Question: I'd love to get a hold of a copy--does he discuss geometric (i.e. Clifford) algebra? Full disclosure: My PhD is in philosophy (U. MD at College Park) and I have several masters degrees in mathematics and also in physics. As far as I know I'm the first person to write a book on some of the philosophical implications of geometric algebra related to philosophy of physics and theories of explanation (link to my book below). Anyhoo--trying to stay in mathematical shape, whenever l can. Thank you for the shout out 🙂 l own a copy of Birkhoff & Mcclain, and l thought that one was comprehensive. Little did l know 😮 https://www.amazon.com/Clifford-Algebra-Geometric-Ontological-Unification/dp/3639164237
    5
  10912. I won't say that Complex Analysis is complicated to read because it's rigorous. I would say that it's complicated to read because the author doesn't present all the details in the text. There are a lot of missing steps and you have to fill them out by yourself. Sometimes, the steps to fill out are not obvious! My comment also applies to Rudin's text.
    5
  10913. So it doesn’t end with fundamental theorem? Surprising the chapters are terse yet isn’t the content very “in depth”
    5
  10914. The biggest disconnect is their level of practice vs ours, It's all new and confusing to students If you plan on working as a teacher, I highly recomend being a tutor too Best math teachers I've seen tutored as well, they saw the confusion and cleared it up
    5
  10915. Nice
    5
  10916. Learning makes you a better learner is so damn true
    5
  10917. GREAT EXPLANATION AND NOT IN HINDI LOL
    5
  10918. In regard to simplicity, there is one extremely clear beginner lever book on set theory for philosophers called: Eric Steinhart - More Precisely - The Math You Need to Do Philosophy-Broadview Press (2009). It can be studied by anyone going into set theory for the first time.
    5
  10919. That was really relaxing a perfect way to enhance my morning coffee, thank you.
    5
  10920. Very encouraging video, also one of the best traits that will help you cope with math is resilience, when I first got into electrical engineering the math was intense, all that fourier series and laplace transforms required alot of mental strength and many students left engineering just because they couldn't cope with the math.
    5
  10921. I have a rule of strict respect for good books and to never scribble wildly on the pages.
    5
  10922. Yea...In our Sanatan Dharm...this thought is taught to everyone by their parents in India🇮🇳 ....... It's all about Karmafal(Karma in English) ... By the way...Lots of love from Kolkata♥️
    5
  10923. Relax. Soak up some ambiance. Read the top 10 science fiction novels with artificial intelligence. Start with 2001: A Space Odyssey.
    5
  10924. gosh. this topic makes my head hurts by self study. thank you so much. everything makes sense now :) <3
    5
  10925. 4:19 I absolutely love that
    5
  10926.  @TheMathSorcerer  You are the reason why I have become Great at Mathematics again. I think my other comment on a video of yours has a potential of being a video someday.
    5
  10927. Gonna apply for grad next fall. Currently 3.96. Gonna try to shoot for courant institute, may watching math sorcerer bring me luck😜
    5
  10928. Hi math sorcerer, what do you think about Thomas calculus? I mean your opinion on it.
    5
  10929. Jeff bezos with long hair
    5
  10930. Nice vid! I still have my old TI 83 Plus from my HS days when I was taking AP calculus. Still works!!
    5
  10931. i have more math books than i can ever review it seems not but is panful to know i am missing some ineed the full set
    5
  10932. Is this ur own library
    5
  10933. Each part of Vladimir Zorich's "Mathematical Analysis" (there are 2 of them) has the same size, if I can trust my eyes, so... Not sure about English edition though :)
    5
  10934. Thank you! This is SUPER helpful! You've made my night so much easier!
    5
  10935. Can you review R.P. Burn's Numbers and Functions? Seems like a good basic real analysis book with lots of exercises(with solutions).
    5
  10936. Thank You So much Sir.☺
    5
  10937. Does it have exersices? I didn't see any
    5
  10938. they all burnout when in undergarduate, and american just started, so american still can going and going and going to the Gods level math
    5
  10939. There are many mathematical designs but only one logical proving ,: That's the aftermath of Mathematics. ❤ Happy designing games .
    5
  10940. Man, you should do a review of I.E Irodov's Problems in General Physics... it is a book that is notorious among JEE aspirants in India... it's also a classic, so I hope you' re gonna like it! Also, you make absolutely genius and relatable content! Love from India.
    5
  10941. Kinda amazes me the coincidence; i'm taking a course of differential equations and by now I'm a bit stuck with this topic and happens you uploaded this just a while ago. Greetings from Mexico hermano
    5
  10942. For me biggest distraction is time. I always look at the time and think that I need to finish faster and that I have other things to do. I was really surprised how taking out all the clocks from my room when I study helped me focus. Since I didn’t know how much time passed, I was able to simply focus on getting things done.
    5
  10943. Great video, thank you!
    5
  10944. Well if Newton himself is telling me, then I guess I'm smart
    5
  10945. Thank you. I needed this. Greetings from Peru.
    5
  10946. hahahahaaaaa
    5
  10947. Just wha I needed, thanks
    5
  10948. By this review, this book isn't bad at all, right? I feel like the only bad point big enough to earn infamy is that the author was a nazi but mathematics isn't something tied to ideology in my opinion. If he somehow makes references to the nazi ideology or whatever in the book, then it would be a bad book but you haven't mentioned it in the video.
    5
  10949. You need time, motivation, and books.
    5
  10950. Clearly diverges because (n!)^n > n^4n growth
    5
  10951. 06:28 it seems Chinese. 四川大学 Sichuan University 計算機科学 系 computer science dept. 図書 library 資料室 reference room.
    5
  10952. Physics is tough. I spend more time on mathematics than on physics, programming, art, etc. I try to economise time for mathematics.
    5
  10953. Honestly I found Combinatorics to be the most difficult for me personally.
    5
  10954. Pensé que ibas a vender tu tabla de logaritmos de la academia naval, saludos
    5
  10955. Hi! I'm from pakistan.I want to ask a question? Will anyone reply me???
    5
  10956. i think i want to become a math wiz
    5
  10957. Hey! does it matter what we select as our y1 and y2 when we go to compute w, w1 and w2? i notice it changes the signs if you change your y1 and y2, but does this correct itself working through the problem?? Thanks!
    5
  10958. I love your vids so much! They gave me so much strength and inspiration. Thank you so much oh mighty sorcerer! <3
    5
  10959. I hope this text will sail me through. Real analysis is giving me a hard time really.
    5
  10960. I got this book for 5.50 USD used, 4th edition, same cover design, with the interactive CD. Anyway, I wasn't sure what to make of it, but after watching this review, now I know this will be one book I'll use as a supplement for my upcoming pre-calc course this coming October 😄Thanks!
    5
  10961. Without mathematics, there's nothing you can do. Everything around you is mathematics. Everything around you is numbers The only way to learn mathematics is to do mathematics. Edit:- nice video sir :)
    5
  10962. Just got my masters degree in computer engineering, it means absolutely nothing to me but self fulfillment. Just so I can brag and say I did it, I sold phones on the road at the side at that time in 2013 when I was doing my bachelors degree. I now have my own electronics store and I make a killing in sales, I only held on to doing my masters as a backup plan but it was just a waste of time, I should have dedicated all my time in my business instead as I would have gotten further at this point in time.
    5
  10963. Jeez I'm starting Calc 2 and linear algebra in the fall, I'm super excited but RIP me
    5
  10964. What math subject did you study in grad school?
    5
  10965. Successor of 0
    5
  10966. Yup it happened but I'm still in the same mindset but I improved in math but not in other subjects they suck they really make no sense
    5
  10967. thanks for sharing this gem with the community. Everyone should learn scheme!!!
    5
  10968. Thank you for creating and uploading these videos. I especially liked the "You can learn calculus 1 in one..." video. I am still waiting for the "Calculus 2 in one video" and "Calculs 3 in one video".
    5
  10969. You‘re the best! I keep support your channel. Love these set videos.
    5
  10970. Been looking forward to this video! I love Dover books
    5
  10971. This channel is just assmm.❤️
    5
  10972. I was trained on that book for my first real analysis class.
    5
  10973. The famous cellist Pablo Casals when asked why he still practiced 4-5 hours a day said " “Because I think I am making progress.”, He was in his 80's at the time.
    5
  10974. Davenport's HIGHER ARITHMEIC & Burn's A PATHWAY INTO NUMBER THEORY
    5
  10975. Wonderful :) Great explanation, thanks!
    5
  10976. Physics and Computer Science major here👋🏽
    5
  10977. Always sharing knowledge and being helpful! Thank You.
    5
  10978. You are a god
    5
  10979. It is most famous book I am using it in high school to learn sequences it has good content about convergence divergence
    5
  10980. STUDY WHAT YOU LOVE.
    5
  10981. At times I think I'm a math looser... You are restoring my confidence in me. By here we are compelled to give "the right answer". When I try ssomeone to think in their response I feel them think "Oh, he doesn't know the answer " But it's ok that because is that one who doesn't give credit on themselve. I know, my English sucks but I think you got the idea.
    5
  10982. This was so helpful. I now understand the definitions and theorems.
    5
  10983. this is way above my current math level but it was instructing nonetheless. I was able to follow it for the most part although I don't know what it means and all
    5
  10984. Good find. Interesting video. From asking AI, I got this: "Most top universities with strong physics programs, including MIT, Stanford, UC Berkeley, Harvard, University of Cambridge, and University of Tokyo, will offer dedicated courses in atomic physics, separate from their quantum mechanics courses, as atomic physics is often considered a subfield within the broader study of quantum mechanics. " Also, Augustus Prince has a Wikipedia entry. Says he "developed the standard methodology for the analysis of deformed nuclei." I admit that until now, I did not know what deformed nuclei were.
    5
  10985. Strange, i just put that book on my watchlist and was thinking about ordering it this month
    5
  10986. i see you sorcerer, i see you in that thumbnail :cat-orange-whistling::cat-orange-whistling:
    5
  10987. Thanks for video, I really feel your energy trying to reach out to people's interest in mathematics and this video really spoke to me. I'm trying to understand on how get into math so I can understand mathematical equations in physics. But its hard was for me to take classes because I tried going to school again for engineering along with working a full time job. And the classes kind of took the fun of learning math out of me. I only got up to calculus 2 (barely remember what I learned from it) So now, I'm doing it as a hobby. Keep up making the videos and keep spreading the word on math
    5
  10988. In my opinion, you can be successful reading math in any order, as long as the book fits your skill level. Review explanations and sentence structure and verify the book has descriptions fitting your needs. I would recommend getting a book from all the topics you listed and then pick the one that feels right to you. I can't say I am a math sorcerer but I successfully taught myself math.
    5
  10989. This absolutely worked. I am now have a phd in math. And that in just one week. It is really incredible.
    5
  10990. I am so glad you post these!
    5
  10991. ok but does it have the answers in the back of the book
    5
  10992. Do you think that knowing how to do proofs is the best way to remember a topics for a very long time?
    5
  10993. HAHAHA
    5
  10994. Congrats
    5
  10995. Thank you for this Sir! I know in myself that i love Math and I am currently a high school student but I'm really bad at class and I failed every test but i still want to pursue my dream so now i want to learn especially like these days and i Don have any books to read about math or any lesson so i only watch video lessons. Thank you for the advice! I also watched some of your advice and inspirations. It helps me! Thank you very much sir.
    5
  10996. As someone who needs specificity in daily life, this reminds me of every other government test and I love it
    5
  10997. love your videos, they keep me motivated
    5
  10998. Math is easier using Cockatiel Orthogonalization!
    5
  10999. I’m a physics major with math minor. I got rid of my social media recently because I don’t want distractions.
    5
  11000. This is exactly what I needed. Thanks a lot, bro!
    5
  11001. Where is this shot ?
    5
  11002. When did Jeff Bezos start teaching?
    5
  11003. i don't know this equation,because i'm not good at math ,but after view this video i understand now,thank you soo much!!!
    5
  11004. Great!!!! Was just solving some differential equations, and found this!
    5
  11005. This book is absolutely awesome.
    5
  11006. TLDR; The statements in this video are true Watching this video out loud next to significant other: The Math Sorcerer: ..."You will probably have a nerdy significant other"... Us: make awkward eye contact The Math Sorcerer: "You'll have a big book collection" Us: look at my ever growing pile of math books Me: Oh no Him: He straight up called us out Edit: a space
    5
  11007. I'm 27 years old and I just woke up and about to watch my first lecture in mathematics. I have been working the last 4 years so that I can now go to a university. You couldn't have picked a better time to upload this video. I can't thank you enough. Greetings from Germany!
    5
  11008. Well for me I think there are many factors I will share what came to my mind right now. - good resources (it's crucial to have a textbooks which don't make gabs, and introduce the ideas gradually not give you challenging problems without their full explanaition and its prerequisites. - early exposure, as you have said kn the video the earlier you expose to the subject the better. - knowing the basics in my observation I think the biggest difficulty my partners face is because the prerequisites, they haven't studied algebra well neither trigonometry, so they couldn't understand calculus well, it's the normal corolary. - big exposure, I remember when I was in 11th grade the first time we studied function, my partner thought that I'm a genius and they aren't smart enough to be like me, but the truth is I just exposed to enormous problems, I remember I finished an entire notebook about 50 pages of big papers, and about 90% of my answers were wrong!!, then I do the problems again, so I got a huge exposure and got the full degree in exam, whereas my partners didn't expose enough and failed the exam, although all the questions were staightforward and very easy. Actually, big exposure is very important in many other aspects, I heared Steve Kaufmann the language genius talking about the importance of big exposure in language learning. - the final one I can think about now is the psychological factor, since a long time my mathematical level have deteriorated, this is due to the psychological factors such as anxiety, depression, burnouts ... etc, this psychological factor plays key role in success in every aspect in life, for me I couldn't heal form these mental blicks untill recently, that's because the brilliant book "Psychology of performance" I strongly recommend it for any one who seek better performance. Well I should say I'm sorry for my bad English, I'm still learning it.
    5
  11009. Proved so simply! Thanks!
    5
  11010. Hoffman and Kunze made a big impression on me, its one of the best Linear Algebra books I've read. I also recommend Shilov.
    5
  11011. you're seriously one of my favorite people
    5
  11012. what a god!
    5
  11013. Thank you for sharing your wisdom!
    5
  11014. In my country one of the top engineering college has an exchange program where 1 student with highest cgpa gets to study at CalTech.
    5
  11015. But what happened when I love both subjects as same aspects physics and math 🙄
    5
  11016. I was confused you know in university they have a lot of interesting elective. Can you make a video which elective to take and the reason why but just in general not too specific on any university syllabus or topic just in general for guidance for those that want to take bachelor degree in mathematics.
    5
  11017. P.S. Guess who got the better job?
    5
  11018. MS, would a course on mathematical statistics require, and/or emphasize writing of proofs as part of the curriculum?
    5
  11019. I found Spivak's Calculus book to be really hard. I gave up on it. Maybe I'll try again after I read that book on Discrete Math and get some solid skills in doing proofs.
    5
  11020. You have a certain magic to you that is so fun and interesting it keeps me 100% engaged. Just want you to know how much impact it has had on me.
    5
  11021. Very helpful, dude.
    5
  11022. The generalization is very helpful indeed!
    5
  11023. I knew it was the fast track to getting the chicks.
    5
  11024. Just finished my sophomore year as a math major. Logic has definitely been the hardest class I have ever taken.
    5
  11025. LOL!!! :) :) :) :)
    5
  11026. A while back, I was using a Zill/Dewar text for a Precalculus course that I taught. On the whole, it's not a bad book - but of course I did not have a choice in the matter.
    5
  11027. Can anybody recommend an alternative source for exercises? I love this book, but I'd really like to have a source of less intense, but still abstract and proof-based, problems.
    5
  11028. I know, you've taught . It ans so much to so many people, you are helping us pursue our dreams! Love from Sweden
    5
  11029. Hell... that’s college during this pandemic in general lol.
    5
  11030. Same I burn out way too often but part of this problem is me trying to over do and overthink things. I believe its a phycological issue if we can find peace in our mind we can conquer everything.
    5
  11031. Yes. I study engineering and it's cool and all but I propably should have done math haha
    5
  11032. my sister has always been great at math, my dad said this was because she viewed math as a puzzle, which it is, rather than work.
    5
  11033. I love learning when the teaching is done right, so thank you!
    5
  11034. WOW THAT'S AN AMAZING SHORTCUT that will help in my studies thanks
    5
  11035. When I took calculus, I was frustrated by how many convergence tests there were, so I spent a month or two trying to invent my own super-test. I was circling ideas that were really similar to Cauchy sequences, but never quite got there. The effect of this was that when I got to analysis, I unintentionally intimidated many of my classmates because I had already pre-processed a lot of the material and was more putting names and structure to things I had already thought about than learning from scratch like everyone else. If I hadn't have jumped into my super-test project,I don't know if I would have been noticably more successful. I know my classes have always learned best when I've been to get them asking the questions that led into the next section. This is also why I like teaching Quantitative Reasoning and similar classes because they basically force the questions to go before the material.
    5
  11036. Great instructor! Whatever they are paying you, it's not enough. Hard to find this level of explanatory instruction anywhere.
    5
  11037. Jajaja you're right , if you do a 6×6 determinant by hand you'd probably get it wrong after quite a bit of time
    5
  11038. Is every maths teacher lazy? that they don't proceed on calculations not even a single time
    5
  11039. Series tho haha...
    5
  11040. 1 video on IMO International mathematical Olympiad
    5
  11041. This vid came at the right moment...thank you so much for this!
    5
  11042. Simple and straight to the point. Thanks!🤩
    5
  11043. You are a Genius thank you so much, you helped me with my homework!
    5
  11044. Saved by butt on my stats final!
    5
  11045. He was teaching himself what?
    5
  11046. I can smell the mold!!!
    5
  11047. Education is what remains after we’ve forgotten everything we learned in school.
    5
  11048. "Math is not a one day event. It's a journey" - math scrocerer
    5
  11049. The argument I give why all solutions should be given is that if a person computes a problem, or a concept, and they think they're right even though they're wrong then they've given themselves more harm by forming a conduct of behavior of approaching that problem or concept. When someone is learning, feedback is crucial. The behavior/habit of approach can be corrected immediately.
    5
  11050. To live in a world of change and to detest the study of change is to deny life itself.
    5
  11051. Thank you very much
    5
  11052. Your channel is best for maths.
    5
  11053. My only complaint is that it's written in Spanish.....and my Spanish is pretty darn rusty! There is nothing better in a book than one with lots of example problems and regular problems 👍👍💪💪
    5
  11054. Some couches will be burned tonight. LETS GOO!! jk were math and physics peeps we aren't party animals lmao.
    5
  11055. HELLO!! I LOVE YOUR VIDEOS!
    5
  11056. this one was actually genius, not gonna lie.
    5
  11057. "if it was easy, everyone would do it" ❤️❤️👏👏
    5
  11058. that's neat. is there a book with a more rigorous treatment than this?
    5
  11059. I mean I did decide yesterday I was gonna wake up a new person today so, thanks for supporting that process mr Sorcerer
    5
  11060. Good job.
    5
  11061. Man, you're awesome. Thank you!
    5
  11062. Exactly .. There is more in life than getting an A in class
    5
  11063. It is subjective but for me initially, it was Data Structure in C++ followed by Operating System and Compiler Construction. It is not difficult per se but the workload can be too much.
    5
  11064. first comment sir love u
    5
  11065. Man I love your videos. So wholesome, guiding, relaxing and comforting all at the same time for people who are stressed out about their math education. This one hits home in particular because I used to be an extreme perfectionist as an ex-engineering student, to the point I had to drop out. There were also health problems at play, but the perfectionism played a significant role as well. Engineering is all about pragmatism; using what’s there from math and the sciences to use for building things, yet I was so focused on where all these results came from that the course, professor and textbooks didn’t go into because it was “too advanced”, to the point that I lost track of the main idea; using that knowledge to actually make stuff. I’d have to simply accept why Stokes’ theorem, a highly nontrivial, useful and not very intuitive result, was true in order to formulate the Maxwell equations in their differential version. Or how to interpret the seemingly “infinitesimal” energy and heat transfers in classical thermodynamics. I didn’t like this at all so I put most of my time really trying to figure out every step of the way building up from formal logic to set theory, both of which I had to learn by myself, to the definition of the number systems in the setting of set theory and building up from there to the actual material I had to study. Now that I’m older, I notice that with becoming an adult comes a more pragmatic mentality, which is a good antidote against perfectionism. I’m sure I’d do better now with this new mindset.
    5
  11066. Succeeding in maths tips. 1. Hello there! Am your misery and secret maths tutor and don't tell anyone. Thanks
    5
  11067. You needed more than 2 weeks to build Amazon though, didn't you??!
    5
  11068. Thank you very much for this video ! I am a 2nd PhD student your videos give me a lot of motivation !
    5
  11069. it is time again to use this video! thank u Professor and good luck to everyone!
    5
  11070. I enjoy this channe immensely! Because of you, Math Sorcerer, I have developed a new found love of math 😅 I used to detest it and now I look forward to all your videos. I'm studying the basics to get into machine learning so I went ahead and got the "Ace Pre-Algebra and Algebra 1" book you recommended. Thank you!
    5
  11071. I Love Math Sorcerer! ❤️
    5
  11072. Hi Math Sorcerer, your knowledge of integration techniques just blows my mind! I guess teaching calculus helps a little bit:) Enjoy your day 🐴
    5
  11073. Great great book! It’s what my undergrad proofs class used. It will give you everything you need, and the current editions have some introductory content to some branches of math in the last chapters— reading those definitely helped me as I actually started to take those topics. If able, I’d also suggest to pair it with another good proofs text “How to Prove It”— it covers a handful of topics more in depth than the aforementioned one, and it’s always good to see different perspectives when first encountering a fundamental area of mathematics.
    5
  11074. [insert dark joke about depression era being now]
    5
  11075. You are true sir.Thanks for the advice :)
    5
  11076. Awesome!! I love your videos about books regardless of whether it’s a book review or a video like this. You are in my opinion on of the most influential math YouTubers. I love your vids❤
    5
  11077. believe or not sir but you are my biggest mathematician inspiration after Ramanujan .thanks a lot for your advice and lots of love from Nepal
    5
  11078. Can you make a video of parts of math books where you found mistakes? Interesting proof mistakes or something? Im sure mathematicians arent always perfect
    5
  11079. Hey! thanks for making this type of video... This is very helpful for us👍🏻🙏🏻 love from 🇮🇳
    5
  11080. Nice way of explanation, thanks a lot😊😊
    5
  11081. Congratulations for being such a great teacher.
    5
  11082. I was a physics major and these are the Mai classes you need for a BS in physics as well. The main difference is that I took 2 mathematical physics courses.
    5
  11083. I'm so glad you're saying Trig is so hard. Really, it's a vindication. I have a really good Algebra and Trig book but I even got another Trig book for the second opinion. I was almost ashamed of myself for sticking with Trig for a year more. But, yeah, it paid off.
    5
  11084. HOT DOG!!!! One of my favorite areas of mathematics!!!! Thank you, MS, for producing and posting!!!! :) :) :) :)
    5
  11085. This is so inspirational, Math Sorcerer!!! Thank you for producing and posting!! Though it really bothers me to know that back in the day, even highly-educated women were held in such low regard that they were considered second-class citizens and not equal to their male counterparts. :( :(
    5
  11086. Hello Math Sorcerer! ever since I started watching your videos, my perception about math has changed a lot! over the time can't thank you enough for this! would like to know if you ever authored your own math, if yes, surely I'm purchasing it.
    5
  11087. I’m learning math from the beginning an resource recommendations or advice for learning maths? What are your thoughts on the art of problem solving textbooks?
    5
  11088. Another fantastic review video, I thoroughly enjoyed learning from you.
    5
  11089. Please make more PDE, you are awesome!
    5
  11090. your my mentor coach ordered direction finder compass and i am 58 doing math review
    5
  11091. This book at ~200 pages covers the whole of the C language and library. C has its detractors but you can hold the whole language and library in your brain at once. I think most modern languages are not like that. I doubt whether there is any one person that understands all of C++, or rust, or Python for example.
    5
  11092. I really enjoyed this video, teaching yourself is so so so important. So many people hate math because of bad teachers, and I for one never had good ones. I love math though, and I always will because I taught myself every single year of the youngin' years. The strategy is to watch this kind of stuff when you're learning addition so that it builds up like compound intrest. If you have someone who can actually answer the question, always ask WHY, you're learning trig functions? Well WHY is sin(25°) that random number of all things? How on earth does a calculator figure it out?! Then you get to series, summations, and then Mclaurin/Taylor Series! Now you're like: I know what's happening! I GET it!!! The more you ask "WHY?" at EVERY step, the more incentive you have to learn all that amazing stuff that comes next.
    5
  11093. I agree 100 % with you Math Sorcerer. We were not born genius. However, we can become a genius. So, I am working on it... understand the concept, the formula, what it means, derivation of the formula, and practice, practice, practice.
    5
  11094. Wow my first 'first'!
    5
  11095. Looking back, these type of questions gave me headaches and anxiety like 3 months ago. Now, the only thing that gives me anxiety is the big test that will be 2 weeks later and I still havent practised outside of homework. 😅
    5
  11096. I love the channel. My only request is that you include the copyright date in reviews. Sometimes you do and sometimes you don’t. Thanks!
    5
  11097. Can you tell me what is one math course you have taken that completely opened your mind ?
    5
  11098. "Deus ajuda quem cedo madruga" is popular here in Brazil. My parents say to me since I was a little kid. I agree, I do Math good in The morning, It is too fluid like a River
    5
  11099. This man has the most intense stare I have ever seen, It's like he's peering into the depths of my very soul.
    5
  11100. I suck at math and am very bad at it but you have made college so much easier I wish you could be my professor you know how to explain things so well !! Love it !! Thank you ! And god bless your soul for taking the time to post these videos !! You rock
    5
  11101. I love these videos, shorts included, they are so informative and helpful. I am glad I found your channel I found it while taking my differential equations class, a class I struggles in a lot, and your lectures proved to be super helpful to me in understanding some of the material and I passed the class! These videos about learning and any other topic you talk about are all so encouraging. This videos in particular is something I needed to hear because I often feel that I am not smart enough or good enough to keep with my classmates, I am an electrical engineering major, but with your encouraging videos and the other people in my life I have been doing my best, and in my opinion excelling in college even if some of my grades don't reflect that lol. Thank you for doing what you are doing!
    5
  11102. I was skimming looking for something interesting to watch, hopefully one to help me reflect on myself. The least i can say is "Thankkk you Sir".
    5
  11103. that forest in the background is reminiscent of the swamp in degoba where yoda is explaining the force https://youtu.be/fxCR2bFWHxM or the forest in excaliber (the good one) where merlin is explaining the nature of the dragon. https://youtu.be/NwcNNbxUE-w
    5
  11104. First of all the following works best in a Math course. Results could vary if it was a social science test or english test. I think overcoming failure, is not static by solely practicing. Yes it is an important component, do not get me wrong. But to overcome failure you need to reflect and strategize and remain resolute. For instance, if you fail a test i.e <50 than I would suggest to go back to that test and go over what you got wrong and fix those mistakes (of course after crying a bit). This portion is the strategy component and the crying is the reflection. Once you fix those mistakes try to re-create the same condition and do the midterm again on your own with similar conditions and setting and see if you actually learned from your mistakes. If so, it is vital as a midterm knowledge is important for the final. Although it seems like a lot doing this approach prepares for another bigger test or ensure the mind is remaining resilient and active. If a midterm is worth 20% and you fail fix the mistake because forgetting about what you learn means you are decreasing what you know and not holding yourself accountable to what you don't know. Sorry for the ramble, I read a book called "The 5 Elements of Effective Thinking" by Edward B. Burger, Michael Starbird when I was struggling in undergrad once and the points in to really allowed me to bounce back. On Page 80 here a quote from the book "Students often say, “I got an 80% on this homework; that’s good enough and I’m moving on.” Bad idea. By not exploiting this great opportunity to learn from their mistakes, they’re essentially throwing away—on average—20% of their grade on their next exam before they’ve even taken it, and they’re building future work on a cracked foundation. Why not learn from your current missteps today and give yourself a 20% bonus in your future? Mistakes present a great opportunity to learn and improve, but action is required. Excerpt From: Burger, Edward B. “The 5 Elements of Effective Thinking.” Sorry for the Length, sometimes we need to fail to succeed✊🏿
    5
  11105. Great video These two books are good: Larry Andrews partial differential eq. Donald trim partial differential eq.
    5
  11106. Ayeee, congratulationsss!!
    5
  11107. Good work!!!! Very thorough understanding. Just be careful cause there is no dQ... neither heat or work are exact differentials..so lowercase delta is used for both. But awesome stuff!! Keep working hard
    5
  11108. I got this same book.
    5
  11109. Saw the video of this bookshelf on amazon. Fun to see it filled up now. I just moved residence and am looking for a nice new shelf to put my collection into as well.
    5
  11110. Dear sorcerer, does calculus by spivak have any prerequisites except for proof writing or does it teach them in the way? Thanks in advance
    5
  11111. Anyone can learn math, whenever, wherever. But I think it’s quite different between learning it for the joy and learning math to seek potential career options related to it. If you already have an income source, then learning math to pursue your dream is just awesome! But for those in their twenties or maybe thirties, whether to switch to or start learning math in order to get related jobs is a tough decision to make.
    5
  11112. I havent watched it yet but I can tell that whoever is the next math major i see, hes going to tell me something lol.
    5
  11113. Do you think theres still alot more math to be discovered or we reaching the upper bounds of mathematics
    5
  11114. Would have been nicer to see how the formula n!/S^(n+1) was derived too.
    5
  11115. I really liked Martin Isaacs's “Algebra,” which I read on my own after college. It can be hard finding a math book with the right level of difficulty for oneself. I found Dummit and Foote’s book to be too easy. It was frustrating reading through so many pages more than necessary to explain something, and it was a chore hunting through a long list of trivial problems for something interesting. Lang’s Algebra book on the other hand was too hard for me. I didn’t get far in that. Like Goldilocks’s bed, Martin Isaacs's book was (for me) just right. The text was approachable but not overly wordy. And the problems were excellent. He only gave maybe 10 or so a chapter. The hardest might take me a day or so of contemplation before I got them, but they were all do-able, and when I struggled with a problem, it invariably revealed something in the text I’d missed or hadn’t fully appreciated. I also appreciated the author’s unique introduction to module theory, starting with a chapter on “module theory without rings” which I found to be illuminating. The main disappointment in the book for me was it didn’t cover linear algebra. Also, perhaps it was on the abstract side, not highlighting applications. But I found it to be excellent, and my favorite algebra text.
    5
  11116.  @TheMathSorcerer  Thank you so much mr issac newton.
    5
  11117. Love you bro.... From India 😍😍😍
    5
  11118. Fantastic advice! Thanks for sharing.
    5
  11119. I remember having a bunch of copied pages from a draft of that book stapled together when I first was learning C in the mid 70s. I was glad when the printed version became available.
    5
  11120. thanks man, Always help that a teacher in maths say this things!!
    5
  11121. Let's play some duo q, professor 😂
    5
  11122. I hope you review Differential And Integral Calculus by Nikolai Piskunov (also MIR PUB)
    5
  11123. I paid for his Udemy calculus course as a review. It looks like it is a sewn together quilt of parts of the online videos. That said, it was cheap and it is in order, so it can easily be followed from one video to the next. He does go quickly in some parts, and if I had not had calculus before, I'm not sure I could have followed it. All in all though, a pretty good deal.
    5
  11124. amazing video
    5
  11125. You're right. But the reality is we DON'T have time...
    5
  11126. Algebra is the grammar of Mathematics. I always recommend my Calc. students to acquire a strong Algebra foundation. This displayed one on sets, relations and mappings is great. Thanku for sharing it.
    5
  11127. good video
    5
  11128. Γ(1)=1
    5
  11129. bravo shefe
    5
  11130. If a|b, a|c then b = ax and c = ay b+c = ax+ay = a(x+y) which is divisible by a. ◾️(QED)
    5
  11131. this a treat to meet someone who appreciates good math and science books and there are clearly bad and good textbooks and some truly are exceptional and this textbook is. I was lucky enough to open and read a chapter my mathematics professor had in his possession. But I had to promptly give it back within 45 minutes but it gave me a guide to understanding what is a good math and science textbook.
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  11132. Stay Enthusiastic I'm also 14, good luck bro
    5
  11133. Great video as ever. Thank you. May the lord bless you. Best wishes from Iran.
    5
  11134. What a great channel ... love mathematics ... can really see that you do too. Always saddened by how poorly it is taught sometimes ... where the next great mathematician or problem solver is derailed by poor teachings or a lack of knowing what they themselves must do to learn (part of those teachings should help teach "learning," in my opinion). Good to hear the inspiration here ...
    5
  11135. Good advice! I think this applies to practically any discipline. To reach a goal, try to do something daily. Also, if you can, try to challenge yourself a little each time.
    5
  11136. Algebra of functions: d/dx ( f(x) + g(x) ) = d/dx ( f(x) ) + d/dx ( g(x) ) : dy/dx = 1/2 root x -4/3* x^(-7/3) = 1/2 root x - 4/3 cube root of x^7 is the answer
    5
  11137. My dad has these books. I remember seeing them since I was little.
    5
  11138. I studied in the book : Complex Variables and Aplications , from R.V. Churchill . Now there is a new version , with co--autor Brown . I have also a brazilian translation in the ninth edition . Ray Viana Sampaio , from Brazil .
    5
  11139. We used this book in our graduate course on compilers.
    5
  11140. Is your PayPal link not working? (I can't open it with my browsers.)
    5
  11141. I just finished proving some theorems and then watched this video. Felt so good!! Thank you!!
    5
  11142. If you want to grab a quick buck, its cs. ( cerebral seizure). If you want eternal life; it will be the language of the universe. (Math).
    5
  11143. First of all, I'm really glad that I found this channel. I struggled with math, ever since elementary school. I failed my high school exit exam, six times and it wasn't until I had the right tutors, that took the time to notice the areas that I struggled with and it helped me out a lot. I still struggle with basic math (like counting change etc.) at the age of 42, but I really do believe that, it is because I do not practice and I see that now.
    5
  11144. Nice video sir
    5
  11145. Sorry, what did you say? I was looking at the bird...
    5
  11146. First!
    5
  11147. Yes - I have a first addition 1973 bought ~1978 (new) from Krocs & Britanos. It was one of the best - at the time. The main trouble with most differential equation books is a small fact they basicly leave out - some would say lie about - something my Junior collage teacher Ms Marion said in class "Differential equations are solved by basically guessing at the solutin and seeing if it works"
    5
  11148. Thanks so much!!!
    5
  11149. Your content just save my life. Thanks for the video, i will work to see the beauty on math.
    5
  11150. 👌
    5
  11151. My school turned into online till i think april 24th. Im sad because i wanted to present my senior capstone project in person instead of an online zoom meeting :(
    5
  11152. In Germany, we use a different book which covers mostly the same topics. IMO this is not „computer science“ it is math in its purest form. And the results from the study of formal languages, logic and computation are critical for modern mathematics. I think every mathematician needs to know this, maybe take a course on formal logic or whatever is available.
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  11153. I also love finding these old exam papers and notes in old books. I found a final exam from May of 1962 in the book "Quantum Mechanics" by Powell and Crasemann with the same type of style as the papers you showed here. This was a take-home exam and my favorite line in the instructions is: "These questions involve only elementary ideas and basic principles. None of them is worked out explicitly in any book that I know of, consequently, a search of the literature is likely to be a waste of time."
    5
  11154. I got my B.A. in 1994. However, I continue learning new material each week. A good way to learn math is to help others online via tutoring. I help students with math homework in various math forums.
    5
  11155. Normaly I got good marks for my math assignments but when near the final exams I didn't remamber any thing. I need to go through past theroies for pass finals. why is that?
    5
  11156. Dude, it's Annapolis. It's for the officers of the officers
    5
  11157. When you find out you're good at math, you feel powerful and useful in a society. However, for me, I feel that it's more like I have a mission ( responsibility) to introduce the fun and joy of my ways in learning math to others!
    5
  11158. I really enjoy watching your videos. I am basically preparing for my test using your channel. Thank you so much.
    5
  11159. If only I had this book for my DE class it would’ve been a gold mine!!!
    5
  11160. "Why can't this be a density function problem instead? -- They're way more fun" :: ........ Hhahaha
    5
  11161. Black-Scholes is bunk - it assumes geometric brownian motion, *but no financial time series follows geometric brownian motion*! This is why so many option traders implode.
    5
  11162. Thank you! 😊
    5
  11163. We will always support you. We appreciate your insights as well.
    5
  11164. Thanks, this helped me a lot !
    5
  11165. Strings: I think Pythagoras would be proud. Leo's got heart.
    5
  11166. Hey! That is the textbook for my upcoming algebra course. Glad to know I'm in good hands.
    5
  11167. “Vector Calculus” by Marsden and Tromba is absolutely great!
    5
  11168. Hi! I'm from pakistan. I want to ask a question? Will you reply me??
    5
  11169. Imma download this and have this vid as my morning alarm to get me to do that morning math problem
    5
  11170. God damn, ya boy workin with that High Magic now
    5
  11171. Great motivational video !
    5
  11172. very helpful, thank you.
    5
  11173. I am spending longer hours on maths during lockdown.
    5
  11174. I love you even more than the guy below me
    5
  11175. You are a wise sorcerer!!!! Enjoy your logical perspective toward life! :)
    5
  11176. 0 because it’s an odd function? lol
    5
  11177. I would say that he shouldn't. But that's only because I can't do it. My baseline concern is how much of the subject will Robbie retain of his studies? And Linear Algebra is a key topic for more advanced courses. Good luck, and tread lightly.
    5
  11178. I am horrible at math but I love your videos.
    5
  11179.  @TheMathSorcerer  Thank you so much for this video. I always enjoy your videos where you share your books and your book reviews.
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  11180. God bless you sir
    5
  11181. Damn man who’s ur coach. U look jacked
    5
  11182. Beautiful explanation!
    5
  11183. I almost died trying to prove 0 x 0 = 0! Intro to advanced mathematics nearly killed my motivation to be a Math Ed major. But, I ain’t no quitter! 👍. Got my degree in five years and bounced! LOL!
    5
  11184. I saw this book in another video of yours. I was waiting for a review of this book!!!
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  11185. Good Work!!
    5
  11186. May be this is why people from India and China love mathematics, Buddhism and Hinduism promote minimalist life and Mathematics fits for their mindset. I almost live like a hermit and I love mathematics (special pure mathematics), eastern philosophy from childhood. Then went to study basic sciences from the west. Didn't use a car or cell for many years - never felt the need for many years. Don't watch TV for 14 years. Don't even go after popular Youtubers ;)
    5
  11187. Can you make a video on Stephen Willard General Topology..
    5
  11188. Another exceptional and classic book divided between optimal control and calculus of variations is: Optimal Control in Economics and Management. Morton I. KAMIEN and. Nancy L. SCHWARTZ (1981). A second edition is also available.
    5
  11189. If a/b = c/d = e/f….. = k/l Since k is already in the series above, you can not assume k to be equal to the above fraction right… you should have taken some greek letter which doesn’t appear in the series given above… May be I’m knit picking but I wanted to tell you that.
    5
  11190. Calc 2 let's go! My new instructor is awesome and I'll of course still be enjoying your videos! Thanks for being my involuntary college advisor ;)
    5
  11191. Ask Buffet which book he used.
    5
  11192. First!
    5
  11193. What! You read this book when you were 7? WTF. What must you have been reading when you were 20!
    5
  11194. Congrats! You've been saving my life with your videos and you still are. Well deserved.
    5
  11195. Thank you, very well explained, even for me who do not speak English very well.
    5
  11196. You are amazing, Math Sorcerer, you really understand people, and I think can really help people with these types of videos
    5
  11197. Thank you for your amazing channel!!
    5
  11198. wow you make it seems so easy. Thanks
    5
  11199. Yes they are very important
    5
  11200. forgot to like all watched book reviews videos on this playlist, my bad !
    5
  11201. You really must be a math sorcerer because that was magical 🧙‍♂️ thank you 🙏🏼
    5
  11202. The explanation for number 2 just saved me!
    5
  11203. got here early
    5
  11204. I wish I could be in this class
    5
  11205. Mathematics is the study of the number 1, every number is a version of 1.
    5
  11206. Hello sir, what books for abstract algebra would you recommend whose first language is not English so that it's easy to understand.
    5
  11207. Where does bro find these books? Awesome
    5
  11208. Really interesting video! I'm definitely finding that the second time around, I'm understanding more and really appreciating where these concepts of calculus come from. It's definitely tough, but at least it stays interesting, if a little trying at times :) thanks for the video!
    5
  11209. Lighting candles and making a circle of salt helps. That's not merely a definition, but an incantation. 🧙‍♂️ I tend to use '|' for "such that," and ',' for "with." But that's me. 😊 Excellent video!
    5
  11210. You really are a wizard i was trying to find a video about this exactly thank you
    5
  11211. Thankyou, Sir
    5
  11212. Teaming up with other person or being part of a study group always helped. I study with the TV or radio on, I cant study in a quite room. I usually study by sections or chapters as opposed to a time frame.
    5
  11213. These videos makes me want to collect Math books as well! 😯
    5
  11214. Hello Maths Sorcerer, call me nuts, but I'm a bit worried about you. You don't seem quite your old self lately. Are you Ok? Goodness knows just the heat this summer has been enough to leave anyone feeling sick and tired, so perhaps that's why. Anyway, I don't want to pry. Just sending you energy and good wishes from France. I totally love your channel btw, but I miss seeing you sitting at your desk, with your books behind you, your hair down, looking chill.
    5
  11215. Awesome video, you're my favorite English and maths profesor, thanks teacher. Greetings from Venezuela
    5
  11216. I collect old tertiary math books since I amaze how some are so well-written , possess rich source of content and questions composition plus a math lens in time.
    5
  11217. I study in University of Sao paulo here in brazil, the thing in undergrad math in both campus ( there is one in the capital São Paulo and other focused in math/engeering/quimistry/physics in the country side in a city call São Carlos ) they just want to be the best, it translate in a really hard course with the goal of eliminate people that aren't so good, they usually provide us good infrastructure and good professors, but the down side is that in ICMC-USP(the institute where i do applied math) you have like 3 people graduating in my course last semester, and the worse, allot students get mental break down, get depress, things like that. I think i am in average level but i seen some of those crazy guys, i know two people that basically got 10/10 in every classe, those type of people eventually get exchange all pay by the university, and this may be the reason why you see out stand people coming from other countries. I dont know the context of people from other countries, but here in brazil university works basically like: If you have a good education you do a college entrance exam, to go to a public college because they free and the best, you need to choose a course and there is no such thing like major or minor, eventually while in college you can choose one or other elective course.
    5
  11218. wow
    5
  11219.  @TheMathSorcerer  Please do a video on a book on Basic Game Theory.
    5
  11220. There's free hunger everywhere.. all you have to do is find a feedback loop of reward & recognition from real world application to sustain motivation
    5
  11221. Another book that is gentle: "A friendly approach to Functional Analysis" by Amol Sasane.
    5
  11222. Thanx dude
    5
  11223. that's because they've spent years and years doing mathematics, so they increased their IQ, most of them were once average IQs and by doing math and learning all that stuff they slowly increased their IQ by a lot
    5
  11224. Love how slow you went on going through the algebra and some of the calculus. I've been reviewing some of differential equations now to make the class easier for this fall and I will definitely be using this channel
    5
  11225. Dam, this is short and helpful. Thank you so much!
    5
  11226. I think linear algebra should come before than calc and diff eq for engineering majors.
    5
  11227. I was failing math in 7th grade but then i found math channels on youtube in 8th grade and then I was doing linear algebra and multivariable calculus in 11th grade lol yea your perspective of the subject can make a huge difference
    5
  11228. The age of vanilla extract from the trees, how great it is! Got that explanation from math sorcerer himself in a past video.
    5
  11229. I was in a similar boat, I had an epiphany that I really did not like my web-development job and instead decided to pursue computer engineering, was 100% worth it. The university that I attended had many non-traditional students and honestly, your peers wont care you are 1,2 even 30 years older than them.
    5
  11230. Very very good advice. Since we're nearing the end of another semester I wanna chirp in, it's also important to finish a semester strong. Especially right now with covid and online learning it's very easy to lose motivation and start cutting yourself slack. It's important to catch yourself and realize you're still not done. The last few minutes of a sports game are some of the most crucial, to really nail in that victory. Study hard, wrap up all your homework and projects and whatnot, and then the moment after you finish your last final exam you can relax ;).
    5
  11231. What is it about walking into a University Book store and loving that book smell ?
    5
  11232. I don't think anyone can do that, because, math is like a great building created for a lot of people in centuries, don't think reading proofs like a "Verificator" think it like a mathematician is teaching you how to prove something. It's like a friend that comes to you and says "Hey, look what I just found!"
    5
  11233.  @TheMathSorcerer  Interesting. I didn't know you came from Cuba. Does this mean you know Spanish? I am originally from Mexico, but right now I live in the SF Bay Area
    5
  11234. I had no idea you were from Cuba! In Mexico we learn Algebra with the textbook from Baldor, also a Cuban mathematician, also from Havana! You guys related by any chance? Haha.
    5
  11235. The math Sorcerer does it again!!!! Awesome video!
    5
  11236. Absolutely amazing explanation! so beautiful so understandable !
    5
  11237. Bruce Edwards co authored the Larson Calculus book. Bruce Edwards is a lecturer of a bunch of math courses by TTC. Calculus being one of them. His Calculus course is not as thorough as The Math Sorcerer's two Calc 1, Calc 2 and Calc 3 courses on Udemy, but worth watching. For that reason I would say that the Larson book is the best of the three.
    5
  11238. inspiring story
    5
  11239. Hey
    5
  11240. Hot dogs is a good smell.
    5
  11241. Yup, nice. That makes much better sense than what I'm reading in the text book.
    5
  11242. Lovely guide for me to follow. My sincere praises to you.
    5
  11243. This is literally the best video! Thank you for your time and wisdom. Cool People like Neon Green. Great Color!!! 10/10!!!
    5
  11244. 😊
    5
  11245. Thank you sir, this was really helpful!
    5
  11246. @Mathsorcerer I have list of books that contain either hints and partial to full solutions for many different math subjects, I am hoping to get it to your hand
    5
  11247. Looking like a beast, Math Sorcerer!
    5
  11248. I'm still working on being social. There are just so many rules for interacting with people, but I've definitely improved. YAY!!!
    5
  11249. Hey buddy ....thks for this i was searching this answer on google ....but you know u r video was the only video which is recommended on google for this question🥳🥳❤💯
    5
  11250. Even though this video is 2 years old on YouTube now, you are talking exactly about how I feel these days.
    5
  11251.  @TheMathSorcerer  The best thing about studying Math, Chrmistry, Law, or Physics on your own is not having to deal with the pressure of a test.
    5
  11252. Just started calc 2, you helped me last year so i am back and giving you money now.
    5
  11253. Ok so I'm subscribed but for some reason the majority of your videos aren't showing up on my subscriptions list.🤔
    5
  11254. Thank you 😊
    5
  11255. Hahaha I'm amazed at how similar this looks to what living with an electrical engineer father looks like
    5
  11256. Gonna need a crash course in calculus and trig. Looks like a good reference. Just ordered a 3rd edition from Amazon. Good luck.
    5
  11257. This is the best video I have found that explains and uses the 2nd TT with a practical example. And its not too easy or insanely difficult, so you really get the idea of how to use it. Thank you so much man, u rock
    5
  11258. At first I thought this was gonna be about failing your entire class for cheating lol
    5
  11259. Just what I was looking for
    5
  11260. I don't know why but this video was very calming
    5
  11261. As a math person myself, with a BA in Math from Rutgers, I completely agree. Most times, if I'm bored, I'll pull out a pen and paper and do math problems just for fun. I might make up a function to integrate, or a second order differential equation solve via the Frobenius method. Who knows. Or I might try my hand at a number theory or geometry problem. Whatever it is, all I need is a writing utensil and a piece of paper.
    5
  11262. This is such a nice resource for all those students who want to refresh their math knowledge before taking advance courses.
    5
  11263. Talk about math required for Computer Science. I'm studying CS, and I never expected this much amount of math
    5
  11264. Can you suggest real life applications of complex numbers outside engineering or physics??
    5
  11265. You never know when you'll be enumerating molecules in chemistry and need complex analysis. Another one is characteristic functions in probability which need the fourier transform which involves some complex analysis.
    5
  11266. I always love your review of mathematical book reviews --- thank you!
    5
  11267. First baby
    5
  11268. I love u Math Sorcerer !! Because of you i started realearning Math for !Fun! in my Summerholidays. Right now im at Algebra I-II and I aspire to get to Precalculus in 3-4 weeks. Thank you <3
    5
  11269. This looks like an interesting book, I have one at home called Advanced Mathematics for Engineers by Wilfried Kaplan. I was wondering whether you know much about the different Mathematics competitions such as the AMC or the IMO. I know those aren't topics you discuss on your channel, but I was wondering about what you thought about it
    5
  11270. The Beauty of Math Math is all around us! If you enjoy the beauty of nature, you have math! If you enjoy the beauty of astronomy and the cosmos, you have math! If you love technology, you have math! If you enjoy your homes and require a car, you have math. Math is all around us! Just open up your eyes and you will discover a whole range of invisible equations which manifest into reality! Matrix, welcome to the desert of the REAL!
    5
  11271. Wow, equating coefficients saves so much time! Thank you!
    5
  11272. My 50-year-old papa teaches me competitive math but he learned it beforehand.
    5
  11273. I think he should go back to college and complete a PhD in Mathematics!
    5
  11274. 4:00 OMFG! i can totally relate to you man!!!!!
    5
  11275. Is it worth it to take applied mathematics in masters?
    5
  11276. OMG ROFL!! That part when the professor just restated the exact same thing to answer the student's question again and again, I just 😂
    5
  11277. Yes, happened to me it took me 4 days to solve a question one time.
    5
  11278.  @davidbrisbane7206  The more you make mental effort on something, the more it sticks to memory. How our brain works is amazing 😊
    5
  11279. Ha! We had the full 3-part book for my college calculus courses. And my professor said, "if you take a light hold on Leithold, you'll drop it."
    5
  11280. this was an easy problem
    5
  11281. I love your videos so much
    5
  11282. What about "A Book of Abstract Algebra" by "Charles C. Pinter"? Is it good for self-studying? Your suggestion would be highly appreciated.
    5
  11283. True!!!!!!!!!!!!!
    5
  11284. Thank you sir 😍❤️
    5
  11285. A book series that certainly deserve the title "fancy" is Michael Spivak's "Differential Geometry" (parts 1-5, latest edition). The cover being hand-drawn cartoons by Spivak himself, and it is typeset in a rather nice TeX font he designed himself (mt2pro).
    5
  11286. OMG!!!yess, my question!!! Thank you very much(i though you forgot) :)
    5
  11287. I have this on my bookshelf. One of hundreds of math books I have obtained over the years. I sometimes use it for reference. Professor Axler actually has YouTube videos based on this text.
    5
  11288. 5:30. Yep. A portion of my bachelor's classes. You can combine that with study groups, and it's a great way to learn.
    5
  11289. You can only asymptotically approach the "math finish line".
    5
  11290. 3:03 Galois also taught himself Galois theory, he was not that much older
    5
  11291. Darn, I wish to be able to watch you when I was in college...
    5
  11292. Is he one of the Martians?
    5
  11293. What sorcery is this!?
    5
  11294. A recurring nightmare is a nightmare no more thanks to the witchcraft done by the almighty Math Sorcerer
    5
  11295. Can I hear something you think about a "yet," "but," and "so," conjunction as if inside a math proof? I struggle when and where I will write an idea I verbally share with a peer in a math class, and I feel better language skills may help. Thank you very much for all your supportive videos and encouragement otherwise. :)
    5
  11296. This vid is clearly a sign from god, it was also posted on my bday!
    5
  11297. Master, can you recommend any books or tips for complex analysis pls 🙏🏻
    5
  11298. The Math Samurai? :p
    5
  11299. I haven't read these topics well, yet. By the its a good video again. Thank you. May the lord bless you. Best wishes from Iran.
    5
  11300. When you said "Plus, addition in the Regular Sense" I immediately knew I'm F**ked!
    5
  11301. Hello Sorcerer why not make a video on all the graduate books from start to finish?😇 Please Sir I am a fan yours!
    5
  11302. One day he will blink... that will the last day on earth.
    5
  11303. I want to know because I want to know.
    5
  11304. What is Your Opinion About Ramanujan ??
    5
  11305. Love this book. Author was at AT&T lab n book is application oriented. Having done Bachelor in Mathematics limited to calculus problems n theorem proving in algebra n analysis, this book was fresh n new. That's 17 years ago. My favourite DM book.
    5
  11306. I became faster at learning math as I got older and with many hours of practice. I just started off at a slow start. Did Calc 2 for 6 weeks and got an A.
    5
  11307. New title: things students always want math professor's to say
    5
  11308. beautiful yet simple proof
    5
  11309. And then, there is me.... I have 8 math books in total, and they aren't even THIS hardcore!!!!! My God sir, you are great
    5
  11310. Better than the textbook itself
    5
  11311. Kreyszig long time no see
    5
  11312. This is my entertainment!😅
    5
  11313. Yes!It does
    5
  11314. Mathematics gives me happiness. I love mathematics and want to study a lot in it, and become a mathematician. I am currently in class 7, and I have started studying from different sources. It's a joy and it's very beautiful. Thank you, and you are great Sir.
    5
  11315. I like this video a lot. I'm just impressed how easy you make it look to get really to the heart of the most difficult questions to answer in life. Keep on it man. Also like the dumbbells in the background. Shifu Math Sorcerer is working out! I think it gives a really good impression that improving in math is just a part of a bigger thing, you are tackling life as a whole and not just hide behind your maths(or single thing, insert anything, since math is actually one of the better things) skills. It could be anything, but I would say math and working out are linearly independent base vectors for your life. And you can reach more interesting points with these than if they were simply linearly dependent base vectors. So I like the image of those dumbbells in the background :D
    5
  11316. What about people who get A's but don't believe in themselves? 😂
    5
  11317. I love playing league :)! About to play some tonight.
    5
  11318. The looks like the name of the main person of a group and then et al. maybe they were writing that as a reminder for a citation. That binding is in amazing shape.
    5
  11319. Professor do spend much time researching mathematical logic. I have had a hard time with my colleges current strategy of memorize it and maybe one day you will understand! it seems many people are knowledgeable of math and understand very little of the process involved . this dependence on intuition please correct me if i am wrong! any others wish to share their schools format
    5
  11320. I can see the Green's Theorem on the cover page 😁
    5
  11321. Calculators drove a stake into the heart of the Study of Mathematics Like your presentations, keep it up!! Stavros
    5
  11322. I wish to be your student! Haha
    5
  11323. intuition is by far the most important thing, build it by practice
    5
  11324. Very helpful! But the camera could be better :)
    5
  11325. At a certain point is it really luck? Or did you work the hell out of the concepts that were supposed to be on the test?
    5
  11326. Great man you described a nice and interesting book to me , I am not plan to buy math book in my current plan but I wish to study math maybe in 2023 and one week few times . That time will have a look 😊
    5
  11327. Great video sir 🎉
    5
  11328. The earth is clearly a circumference
    5
  11329. Math is probably the BEST subject to teach in schools.
    5
  11330. How much coffee do you drink?
    5
  11331. Wow!!! You found a treasure. It looks fun! The prime symbol haha. I wonder which textbook they used!📈📐📖 Maybe the problems were very simple too.
    5
  11332. I liked the "you make enough" part lol
    5
  11333. I am 160 years old and I love mathematics
    5
  11334. When I took calculus, I was fortunate in that I had good prep for it. So, calculus itself was something of a joy ride.
    5
  11335. Nice! I haven't heard of these before.
    5
  11336. I just wanted to point out a perhaps simpler way to approach example 2 (the one with the substitution 2x - 1 = z^6). After making this substitution, I considered the integral 3 * (the integral of z^8 / (z^2 + 1)) dz. I then noticed that “adding a zero” by means of adding and subtracting a z^6 term in the numerator simplifies the problem, giving 3 * (integral of z^6(z^2 + 1)/(z^2 + 1)) dz - integral of z^6 / (z^2 + 1) dz) (notice the nice simplification in the first integral). Indeed, you can keep applying this process of adding and subtracting a term a power, decreasing by 2 each time. You will then be left with a series of powers of z’s as you found, and the final integral will have an integrand of 1/(z^2 + 1), so that gives arctan(z). Indeed, this solution is in spirit of long division, but in my opinion much nicer.
    5
  11337. 6th reason to NOT study Math: U mignt'nt get LAID as often....too busy...LOL But seriously...I LOVE my Math & I've used it to great extent with my Career in I.T. It's gotten me a lot of respect along the way (2 Degrees). Also, how many Movies & Bios on famous ppl from other Fields exist...not much. Case in point, lookup Movies for/or about Mathemticians, Scientists, etc Math is AWESOME!!
    5
  11338. I didn't know Jeff Besos grew out his hair.
    5
  11339. I would argue that proofs is the way an adult should enter maths. Kids can’t really handle logic by the time they can they’ve already matured to the point that they can already do Calc. But logic will straighten out a lot of the falicies that people tend to fall into like (a+b)^2 = a^2 + b^2.
    5
  11340. Thank you for the video. This is very good advice and being grateful for the things that you have is a very good start. If a person is free of cancer or not having to fight for their life makes one very lucky. I also agree exercise is very therapeutic.
    5
  11341. Hi math sorcerer Thank you for these videos. I love watching them. Mathematics is a really a wonderful subject.
    5
  11342. Positive mindset helps me a lot and it keeps me going.
    5
  11343. The GOAT!
    5
  11344. 100% agree. The more general version of this advice is to modify the problem by tweaking some aspect of it (e.g., adding an intermediate result, removing a restriction) and then trying to solve that.
    5
  11345. thank you so much man, ill be watching your vids quite often now haha
    5
  11346. Hello Math Sorcerer, I love your channel! I’m a finance graduate who recently decidedly to dive into the fascinating world of math. I’ve been collecting math books for self study but many of them lack answers to most if not all the problems. Is there a specific reason why many authors do this?
    5
  11347. I just space cadet study. Study for 20 mins, Contemplate space-time for a little while, then go back to studying.
    5
  11348. you sound a lot like topher grace, not related to the video but it gets me everytime I watch these videos
    5
  11349. You are such a cool man, dude!. <3
    5
  11350. Just the video I was looking for, a step by step process to study math. So much value here!
    5
  11351. thank u so much sir ;)
    5
  11352. It's our book
    5
  11353. Thank you sir . Love from india .
    5
  11354. It feels good to listen again and again from you that "it is never too late" ❤
    5
  11355. Thanks man! Real help.👍
    5
  11356. Thank you Sir .
    5
  11357. Boyce and DiPrima's "Elementary Differential Equations and Boundary Value Problems" (3rd ed.) discusses PDEs in Ch. 10, and Sturm-Liouville Theory in Ch. 11. This is a math text. Boaz's "Mathematical Methods in the Physical Sciences" (3rd ed.) discusses ODEs in Ch. 8, Series Solutions in Ch. 12 and PDEs in Ch. 13. This is a more applied text and typically used in a "Mathematical Methods in Physics" course.
    5
  11358. I use app Google Slides to simplify all my studies or to help me commit things to memory. Otherwise, I struggle too much and forget studies easily and quickly. Google Slides is convenient for making notebooks, scrapbooks and directory books. I use colourful illustrations & animations so to make them as engaging as possible. Unlike Docs, I can quickly move slides and arrange them in any order. That is why I choose Google Slides over Google Docs. Besides, Slides are convertible to PDF. For scrapbook pages, I frequently go brainpicking nerds at Stackoverflow, Quora, Twitter, etc. I see TONS OF GEMS there — lovely posts on maths and other subjects. I do the same at Facebook groups. I take screenshots of their worthwhile solutions to tricky problems. Optionally, I attach my notes onto them or write offscreen comments. In some books via Google Slides, I have screenshots of nerds’ public works, all for study purpose only. I pore over their solutions to problems and study what they did. Some pages have GIF animations. For now, I am studying mostly 3D software Blender which has a terribly STEEP learning curve — very daunting, though addictive. Scrapbooks help me learn Blender and commit difficult steps to memory. Should I forget tutorials, I have only to consult scrapbooks, refer to the screenshots or hit the links attached to pages. Directory book: “Blender Maths Sites.” https://docs.google.com/presentation/d/1nwZG828DSm_NysWbaqbUQdEJ8HYcEkPVtvplsbum2KI/mobilepresent?slide=id.g4a4151bc7ea1f461_1 Scrapbook: “Blender Tips, Suggestions, Tricks, etc.” Animation included. https://docs.google.com/presentation/d/1O7dmAruhtqd0h9HnWdnbBHGD_6bAJ1H-w0TpfGlfDGM/mobilepresent?slide=id.g274a3b9878cf29fe_0
    5
  11359. Hey ... First view...
    5
  11360. I collect math books as well, Math Sorcerer, because mathematics is one of my favorite academic pastimes along with Anne Frank. In fact, I've been collecting books steadily since my mom passed away eight years ago. She never really liked or appreciated my passion for collecting books. But, I do enjoy collecting math books because there is great potential for being engaged in brain-building activities for great lengths of time with what I have in my personal math library.
    5
  11361. oh noice im first. have a good day!
    5
  11362. Thank you for saving my life professor, your videos is helping me a ton honestly, my D.E professor sucks(doesn't explain shit, he only reads the book :( i have an exam on Thursday and i feel more confident that i'm gonna pass it after watching your videos!!!!!
    5
  11363. I have topology in my course, for the first time, can you suggest me a book for topology which is easy to read and understand.
    5
  11364. wow im early
    5
  11365. Satisfying
    5
  11366. You are truly amazing person, as a Mathematics graduate your suggestions are realistic and mind blowing. I think everyone should listen you. Love from INDIA ♥️
    5
  11367. I'm not sure he saw this question. But I believe he's stated that it's a decades old collection. in other words, you wait, watch, grab books that look interesting when you find them on sale. many, you collect taking the classes themselves. eventually, books do go on sale. I've waited years on a book to get to the right price. My collection has slowed at around the 700 mark. I have perhaps 2 dozen math-books I'd still like to get. It's OK if it takes years.
    5
  11368. 🐐
    5
  11369. I'm studying finance right now in college, but really want to do maths
    5
  11370. Dang I didn’t even know this guy had a YouTube channel, I actually have some of his calculus Udemy courses just because I wanted to learn something new and also use it for computer science type stuff. Gained a new sub!
    5
  11371. David A in my opinion watching videos about math is as important as actually doing math lol
    5
  11372. Lol, that's a fake one.
    5
  11373. It teaches Fortran IV, the predecessor of Fortran 66.
    5
  11374. I don't agree very much with the advice of this video. The advice is of course applicable, but it is applicable to anything. Still, I don't think it is a powerful method. A much more powerful method is to become interested in math, or fascinated by it. That will make math fun. Math will become an eye opener to you, you will start to see how math is present in more or less everything in life and it will help you see clearer, even in fields like philosophy.
    5
  11375. Study books on logic and set theory as well as constructuon of number systems like N, Z, Q, R..
    5
  11376. You're already the best in the world at being who you are, and I see that as a reason we should compete against ourselves. I may never be Terence Tao, but I'm still a better version of myself than I wound be if I never tried to improve.
    5
  11377. I was just going to power set that you were going to power set that you were going to power set that you were going to power set Nothing
    5
  11378. Looking sharp! 🔥 👊
    5
  11379. Some of the best advice out there. Thank you.
    5
  11380. Awesome hair 🎉🎉🎉
    5
  11381. اول عربية جزائرية 😅😅😇
    5
  11382. I was just thinking about this while learning ode for the first time
    5
  11383. If you ask me, CS is the best for making a shit ton of money, but the "best major" is really the one that you are passionate about and enjoy learning about. Agreed though, for someone who's not sure what they might be interested in, CS is a good idea!
    5
  11384. Im taking abstract algebra and its kind of scary because i haven't even taken discrete mathematics yet 😅😅 Im understanding kinda but having almost none experience in proof math really makes it harder.
    5
  11385. Wow, that cartoon example was good! Well said sir, you give very positive vibes Enjoying math is the key for me😊 I'm a person with a low will power, and I dont think my attitude towards life is good, but my attitude is very positive towards things I like, like Math. Now I'm using Math as an example to change myself, and I'm applying this to my life, I'm enjoying things in life to have a positive attitude towards them. P.S: you are a motivation, and a god-sent gift for me! Whenever I feel low, or negative, I watch your videos and I'm back on track, and super positive!!!
    5
  11386. A lost gem. Saving my ass one video at a time
    5
  11387. The way you pronouced huuuggge reminded me of Trump, great video by the way.
    5
  11388. You need a blod donor sacrifice degree for that.
    5
  11389. I did not get that but kinda funny :D
    5
  11390. Just had this problem on a calc exam, came to check if I got it right because I watched your video before. You saved me on that problem man! Thank you!
    5
  11391. great advice!! , as my mother says "if you are preocuppied is because you are no occupied enough "
    5
  11392. next videos, "become analysis master"
    5
  11393. This book looks like exactly what I need. It seems like a dream book for me. I have gladly purchased it using your affiliate link :D
    5
  11394. What’s your tips for writing proofs.
    5
  11395. this is awesome. you always come up with such great videos.
    5
  11396. I'm 6'6" and taking Calculus....I have a great feeling about finals after watching this :)
    5
  11397. There are calculus books with the phrase "early transcendentals" in their titles. This book appears to go in the opposite direction, past "late transcendentals" to no transcendentals.
    5
  11398. Second!!!!!
    5
  11399. If I knew about this video I would watched it a long time ago. Thanks you very much
    5
  11400. Man, I thought the video was at 2.0 speed!
    5
  11401. Looks like a group is brewing up, just leaving a reply here for me to come back to. hehe
    5
  11402. Much tanks. i from Brasil and this help me much, grettings
    5
  11403. The problem at the end reminds me of a beginner’s Real Analysis problem. I found Real Analysis to be overwhelming and difficult
    5
  11404. thank youuuu
    5
  11405. Thank you so much for answering my question professor! your advice is always valuable to me and many many others
    5
  11406. Me standing behind 1+1 = 2 😭😭😭
    5
  11407. It's 1% inspiration and 99% perspiration. That a-ha! moment is impossible without the perspiration first. Lots of hours of practice, sweat, and sadly sometimes tears. It may be easier for some than others, but nobody is born with an innate knowledge of complex analysis.
    5
  11408. 'Baby Rudin' is to learning analysis as artificial insemination is to sexual reproduction. It's not good, it's not bad, and there are more fun ways of going about it, but at least it gets the job done.
    5
  11409. Love to see interviews in this channel. I think you’d find James Scholz (Computer Engineer) interesting, he made 12 hr study with me videos on YouTube for over a year! Literally studied 12 hrs a day
    5
  11410. YouTube algorithm dropping hints that I need to start studying for my engineering maths exam which is exactly in a week😝😝 Hoping e = pi = 3 will save me 😌
    5
  11411. Thanks sir 🙏🙏 U are great 🙏🙏 👍
    5
  11412. You can get a steroids size arms just by curling that book after doing a problem 💪
    5
  11413. How to prove it by Daniel J Velleman.
    5
  11414. ^_^ Thanks! This video got it to finally click for me!
    5
  11415. Man I really needed this! My first midterm in Grad school is on real analysis and I am not prepared :( I'm okay with not doing well for this first exam, but I'm going to do much better on the next one!
    5
  11416. saved lives with this video fr
    5
  11417. The third addition has Dedekinds construction as an appendix to the first chapter
    5
  11418. Thank you
    5
  11419. I love the lost brother of Jeff Bezos. The Math Sorcerer is the best 👏🏻
    5
  11420. You are the best because I had tried multiple videos on YouTube, but no one explains it like the way you did. EASY AND SIMPLE. Thank you, trillions of times!
    5
  11421. Smooth smooth class , everything discussed so fluently and easily 👍
    5
  11422. I love this video! You are absolutely right. I have been self-studying Russian for over a year and it can be very intimidating. As comedian Steve Martin once wrote in one of his books, "Perseverance is a great substitute for talent." Sometimes I also experience burn-out or get a sense of being unmotivated. But perseverance will pay off in a BIG way. I can now pick up about 30% of a Russian discussion. It is such an empowering feeling, and I got this far all on my own. I honestly believe that our brains need a little quiet time, or a break of a day or two to "gel" to make sense of all the new information. Thank you again for the great advice!
    5
  11423. Hands down, you are my favourite youtuber! 🙏 From India
    5
  11424. I do math because I've come to love it. I started my undergraduate degree in Economics four years ago, and discovered ( my junior year to my chagrin ) while sitting in a Differential Equations course, how awesome and exciting math is and how great it makes me feel to learn it. I also realized I simply detested economic theory. So I started to take more and more advanced math courses, until I graduated last fall. I was recently accepted to a Graduate program in Industrial Engineering in the fall and I plan to take as many graduate math courses as the engineering department will allow. Post Scriptum: writing proofs is very hard.....it's like an art, it takes much work and toil, and even then some people write proofs better than others, I've come to believe.
    5
  11425. 3:34, even though I haven't started Calculus yet, this physically hurt me
    5
  11426. What about if you plan on doing a masters first? Should you do a masters first? A lot of profs at my school seem to do there masters at the same school as there undergrad, and then go somewhere else for there PHD. What are you thoughts on this?
    5
  11427. Thanks, I needed to hear this! I have a physics assignment due today and this video applies. I have been lacking patience lately.
    5
  11428. These videos on Injunctive and surjunctive proofs were super helpful. Thanks.
    5
  11429. Nice application of contraction mapping theorem
    5
  11430. To answer the following quandary, I must first propose the following configurations. I shall be as brief and terse as humanly possible in forming a proper aphorism. 1. That the brain is an internal mechanism whose primary function is to calculate information solely upon numerical values 2. That these values are then processed into (purely hypothetical) observational data. 3. That this observational data is then prepossessed further into three supplementary categories of functionality. Primary Secondary And logical functions (though I won't be using this one) Imagine the human mind is a computer. This computer has a primary function to process information into its derivative. From this derivative, form thoughts into narratives; and from these narratives, console truth. This computer has a fast processor. Capable of producing 150 iq revolutions from your standard processor. Making the in mathematical terms of standard deviation, three times as fast as a normal speed computer. But this computers has a small hard drive. Only capable of producing 2GB of RAM (random access memory) Because of this bottle neck. connections to the information's secondary function are hindered. Even when primary information is processed at impressive speeds. You may be wondering why you have a high I.Q but still take longer to consume information. When you leave for awhile and comeback you give your mind time for the abstract meaning of the information to be related to and compared upon. Without a secondary function, the primary function is rendered obsolete. In essence for your brain/imagination to form a proper complex syllogism. For an example, people with schizophrenia have no ability to processes secondary information. Due to this hindrance, people with schizophrenia disorder have no ability to produce abstractions from raw primary observational data. Meaning, instead of creating a model for life and the things around them. They get lost in the simple details and are unable to form proper logical chains. Like for instance, communicative addition law. Just as well for other equations. You don't have schizophrenia. But brains are made in varying degrees. I hope this helps.
    5
  11431. I failded everything except maths and physics 😅
    5
  11432. I bough Gallian and Fraleigh's books and they're a very good combo so far! thanks for the recommendation for sure.
    5
  11433. Yay 👏
    5
  11434. Nice! I actually have this one as well with the dust jacket. It has a Möbius band on it which is very cool.
    5
  11435. I don't have maths as my subject but still I'm here😂
    5
  11436. how would you expect someone who was able to grasp Calc 1 and 2 on an intuitive level but happens to struggle with spatial reasoning/visualization to fare in Calc 3?
    5
  11437. Heyyy! Love your videos! ❤❤
    5
  11438. Great work, sir. This helps so much. You gave us for free.
    5
  11439. That's the seventh edition of Sullivam's "Algebra and Trigonometry" that you showed some time ago. From what I see, added one more chapter to the older edition. It's an extensive book, and you can learn a lot from it :)
    5
  11440. I'm an average person, but my ability to humble brag is world class.
    5
  11441. wow Sir, this is so simply explained, that it's actually the best concept clearance I have got, I just hope, I will perform well with such amazing help.
    5
  11442. I always think of math as a great challenge (I love challenges), and so I just see the best problem, test, or even course as just another challenge I can try my hand at. That's why I love it so much, it releases that primal instinct in me to want to figure something out.
    5
  11443. Great advice!! As a physics student in undergrad, I couldn't agree more. My advice would be to be organized, to plan your days ahead of time depending on what homework you have and stuff you have to do in general. But when organizing the next 2 or 3 days, include time to relax. Be flexible on yourself. You have to take breaks, and since you will, plan them ahead of time! :D
    5
  11444. You’ve got the modern day Isaac Newton thing going on with those candles! Awesome work! 👍
    5
  11445. Nice introduction to proofs, thanks!
    5
  11446. Hmm I should pick up a copy of this
    5
  11447. You have inspired me to do math outside with my 4 week old golden retriever puppies!
    5
  11448. hey man you have inspired me so much thank you love you
    5
  11449. Great video, sir. During this quarantine period, I studied Measure Theory, Tensors (because I love Einstein's GR), Differential Equations, among other topics. I would like to ask a few questions. Do you prefer paper books over digital ones? And what are the most difficult mathematical areas in your opinion? Greetings from Brazil.
    5
  11450. A lot of this applies to all majors. I needed this speech 20 years ago. I struggled with some of my math classes my junior and senior year.
    5
  11451. Hey man, Thank you for replying to an earlier comment of mine on another video - however, this video poses another concern I've had considering grad school in math. Since I am an Aero + Math major, will the following courses in math "prepare" me enough for the skills and knowledge I need in grad school? Courses: Linear Algebra I, Abstract Algebra I, Advanced Calculus I, Introduction to Partial Differential Equations, Mathematical Probability and Statistics, and General Relativity and Tensor Calculus. I ask because most math majors I know entering grad school take the second level (II) courses of Advanced Calculus and Abstract Algebra followed by a 2 semester sequence of Real Analysis (I & II). However, I am a BA in Math (not a BS) so I don't take those higher level courses. Will not having any exposure to those higher levels and real analysis really hinder my chances of success in grad school? How about admissions? I would love to pursue grad school in math if the choice came down to it (instead of engineering), but I feel like my education is slightly short of being remotely prepared. Thanks again.
    5
  11452. Wow...after a long struggle I finally found the answer here , it is awesome. Thank you.
    5
  11453. Thank you for the video. Great as always!
    5
  11454. Im currently in high school and have to repeat 8th grade because i was very bad last year mostly in maths and other stuff which i have potential in because of skipping school and being a mess. Now that i finally found my true self again thanks for this video i used to be anxious to fail now im trying to do my best this year and not do the same mistakes and make this the best year of my entire high school career
    5
  11455. Needed this video today. Now back to my Calc II homework
    5
  11456. It is more fun to proof that the set of a 2 by 2 matrices with everywhere the same value x with x not equal to 0 is a group. The determinant of such matrices is 0 but it is still a group.
    5
  11457. fun skit lol
    5
  11458. Julian Schwinger, the winner of the 1965 Nobel Prize in Physics, used to say: "My ballpoint pen is my laboratory.” Schwinger and Feynman might have been able to get away with ballpoint pens, but I’m afraid the rest of us must use pencils instead, because we would occasionally need to use the eraser; especially, when we get distracted.
    5
  11459. No one should ever do a task for that long especially mental tasks. He needs to do something else or be more efficient with studying. If they're studying problems and doing bookwork, skip hard ones and go back to later. I had the issue where i would go through problems sequentially, despite being stuck on a problem for 30 min's or more.
    5
  11460. Wow, this is really ingenious! Thank you for making this video!
    5
  11461. 1:45 isn't that equal to one for some reason. 1:55 Yerr Gott Damn right it is. LOL. But WHY?! Hahaha I need to go over trig I've been neglecting it since I was in highschool! Starting Proofs and looking at all the various Pythagoras proofs and the history is slowly starting to open my mind open to it HAH! I've really been enjoying the proofs class because it allows me to explain the math problem, instead of just executing and recalling, I would always ask, like I did. Why am I doing this, I know the processes.
    5
  11462. Taking two classes: Topology and Advanced Calc 2. I’m also teaching a class: Pre-Calc. I definitely have some pre-semester jitters going on.
    5
  11463. I had the same exact problem when watching a lecture about topology, I could not for the life of understand the definition/axiom being stated. Similarly with the definition of compactness and paracompactness. I didn't really understand it, took hours of reading math exchange posts and other explanations online get an intuitive grasp of the concept.
    5
  11464. Thank you Math sorcerer. Your courses helped me pass two of my classes that I was dreading for a long time, algebra and stats!
    5
  11465. In the last few days, I was a little too tired to watch tutorials or read books. My mistake: I lowered my intake on vitamin C snd neglected to take other things like garlics. Now, I am back on them and feeling much better today. I love maths and I'm still determined to learn it, no matter my limitations. I am making use of my free time while in self-isolation. I sometimes take breaks from maths. During math breaks, I listen to relaxation music while reading books, listening to audiobooks (with blindfold for heightening hearing sense), painting pictures, practising speed of Gregg shorthand, etc. All these things break up monotony of day. I oftentimes go to Pinterest for mathematics, physics, etc. TONS of inspirational pins & boards are all there.
    5
  11466. “Push yourself into the uncomfortable place” You mean learning math itself?? XD I want to go into STEM but I dont feel comfortable going to college without already understanding all the math bc I learn math extremely slowly compared to my peers and Im afraid to fail it or have a mental breakdown if I take college math courses raw
    5
  11467. Thank u it was helpful
    5
  11468. Haha , I wanted to do such a video! Stole my idea from my stomach , damnit👍👍👍
    5
  11469. Thank you so much for all the mathematics you have in your channel. I wish I could give you thousands of likes. Can you please start uploading videos like "one book one playlist" with explanations of chapters from all the books you have. I'm planning to follow your channel religiously. Thanks again.
    5
  11470. This book has an applied flavour which is great
    5
  11471. Good luck Arnold, you can do it! It will be hard but you can do it
    5
  11472. OMG I also had to learn english in elementary school. My parents moved to the US in 2nd grade and I had to start from scratch. I knew hello my name is... and thank you. had to learn fast and i remember being terrified.
    5
  11473. Quick question. What's your opinion on undergraduates taking real analysis I and abstract algebra I at the same time? I've heard many different opinions. A big goal of mine is to read through baby Rudin thoroughly but if I'm in abstract algebra at the same time, I doubt I would be able to accomplish that in a semester time frame. I have very little exposure to real analysis. Furthest I've gotten to is most of chapter 2 on sequences in Ross's Elementary Analysis. For abstract algebra, I've read most of introductory group theory up to and including some stuff on cosets and Lagrange's theorem. By "I've read", I mean reading, proof reading, and exercises of course. I have experience with all the basic calc sequence, probability theory, applied combinatorics, basic set theory and proof writing, two linear alegbra courses with abstract vector spaces, and ordinary diff eq. So I have to take the next step up into upper foundations and it seems like my only options are to take both real analysis and abstract alg. at the same time or take one at a time. Any advice is helpful, thank you. Also, your idea on picking up discrete math is great advice for beginners, I really wish it was more common practice.
    5
  11474. I think the Beginner Level Math boook you review 2 days ago would be a good start for her
    5
  11475. take my money .Right Now
    5
  11476. Preparing for jee has been the hardest goal thing till now
    5
  11477. Hello Math Sorcerer, I love your videos, they're always so captivating and math is just amazing. I also really like the wizards on the video covers, please keep doing that as much as you can! Best wishes, Eleonora
    5
  11478. I checked out this video because my daughter is about to take this class...and as I suspected, it scrambled my brains 😂 I think I'll go back to collecting antique glass and refinishing furniture 😂 good luck to all you math people, because I DON'T GET IT! Lol
    5
  11479. Needed this video, man. I amma going to be top of my class by the end of the year.
    5
  11480. When you're very average at math and still are lonely regardless😅
    5
  11481. Español es tu primer idioma? Your English sounds native!
    5
  11482. Do an oral exam parody!
    5
  11483. Thank you so much for solving this problem!
    5
  11484. The nicest fact about reading old books is that will make you a professional.not like some modern books wich their purpose is just to make u a computer scientist as fast as possible . anyway thanks for the recommendation 😉🙂😉
    5
  11485. Wow amazing class!! THANK U SO MUCH
    5
  11486. Man the timing on this video is crazy. I have adhd and I’m currently taking calc 1, math is very easy for me as long as I have my medication and am able to pay attention during lectures that’s why I got a 96 on the first exam. I bombed my most recent test cause I was out of meds for a few weeks and it was really eating me. I’ve definitely been feeling like a failure over the past week and this really helped me.
    5
  11487. Me in the future
    5
  11488. Gonna buy this book, im in calculus 3 and my algebra is weak and i can tell its really holding me back from greatness. Thank goodness i know enough spanish to understand the book
    5
  11489. This is great advice not just for learning mathematics but the kind of mindset needed to learn and grow in all areas of life. Thank you for the video!
    5
  11490. man is goated for diff eqs. thank u
    5
  11491. You are right mathematics has made me more patient.
    5
  11492. My life at the moment
    5
  11493. I am living proof that it does not take a high IQ to study math.
    5
  11494. TMS, can you give us a tour of your math library?
    5
  11495. 6th ed Plane Trigonometry tho! 'Masterpiece of a book! I have the 1977 Algebra & Trigonometry edition by Bernard Rice & Jerry Strange. I refer back to it often. You have "Plane Trigonometry" (6th ed) in your tower by the same authors. & The seventh edition is out.
    5
  11496. Give us your workout plan, Sorcerer! 💪💪
    5
  11497. I like that you do all the steps then point to them.
    5
  11498. Love your videos man. You are my math youtube professor.
    5
  11499. I used this book in my Advanced Calculus (read: real analysis for undergrad) course at University of Maryland (Fitzpatrick is at UMD). Quite good up through chapter 9 but not great for multivar because being limited to just R^n is not really indicative of Real Analysis. My professor used his own section for integration which was more measure-theoretic which I quite appreciated, but the section in the book is also quite helpful. Would recommend overall
    5
  11500.  @cktan8439  Ya, it will take you from the beginning into some advanced concepts.
    5
  11501. Nice vid as always
    5
  11502. One thing I heard that stuck with me is “what kind of problems do you want to solve?” Every job is solving problems in some way, whether it’s as simple as a person wants to buy a product and someone needs to sell it, or from another side, a business needs to sell a product and needs someone who knows how to sell it. Or do you want to solve how to build a house, or fix a car- or design a car? There are infinite problems that need solving, so pick the kind of problems you want to solve and solve them to the best of your ability. Something like that
    5
  11503. I was watching your " im going to give u a superpower" video and u uploaded this video 😊
    5
  11504. Thanks so much, profe
    5
  11505. Excellent! This should be a thing for all your book reviews. You should pick an interesting problem from each book and work through it with us!
    5
  11506. I love self studying. I think it has to do with curiosity. I learn what I want to learn, not what someone else told me. Something that helps me alot is video lectures of someone just talking passionately about whatever I am learning. I feel like when I have that, when I hear someone talk passionately about the topic I am learning, it's very easy to stay motivated. I am trying to get out of this habit tho cause for alot of stuff I want to learn, I can't find any video lectures on the internet.
    5
  11507. I liked the ideia as well
    5
  11508. Oh, please make a video on Bernard and Child as well. A comparison would be great. Thanks.
    5
  11509. This proof is really neat and helped a lot. It would be nice to show the scratchwork afterwards on in another video (since you already did it anyways...)
    5
  11510. Extremely based. No user of math books must write in them! You won't even know and 96 years down the line someone would be reading from the same copy!
    5
  11511. I’m using Lang’s linear algebra book. Honestly he writes very clear. He goes into details on proofs before and after and I like how frequent exercises pop up. It’s a crime how Lang’s books are less than $100 compared to a cengage or a Larson
    5
  11512. the precalculus by James Stewart is also a good textbook
    5
  11513. One thing about jobs in stem is that a lot of skills overlap or transfer really well, but jobs are often gated behind “majors*. A few years ago, there was a lot of talk about physics majors and Physicists going into finance for this very reason and you’d be surprised about the amount of philosophers in computing and pure maths. <I believe it’s for their particular skills in logic> Furthermore it’s a red flag if an engineering firm doesn’t have mathematicians/physicists employed. If you decide you need to get a job now to take some weight off your wife. You are quite able to get a job with your current degree in a field that requires maths.
    5
  11514. Great points! Discipline is super important while studying math. Great professor. All hail the math sorcerer!
    5
  11515. 78 years of experience sounds a lot, can I ask how old are you?
    5
  11516. Do not get crazy! I only like textbooks which offer many problems with solutions. Math is not reading and veryfying line by line the logic and correctness of math textbooks but doing math, since math is a process and can be very deep
    5
  11517. Your videos are very effective to me. I'm in class 8 and i am from India. Please recommend a book for middle school students in maths
    5
  11518. Because I love RPN logic, it's the HP Prime for me. Although there is a way for an instructor to disable the CAS feature through connectivity, HP would have done better marketing a classroom version of the Prime calculator, a version without the CAS feature.
    5
  11519. Me watching the video at 2× speed. "I'm way ahead of you bro" lol
    5
  11520. I've decided to get a second major after my first hasn't gotten me the job I am after. I will have a major in mechanical engineering technology and then will transfer to ku and study engineering physics with a concentration in aerospace design. It'll cost more long term, but If I want to do more, then this is the way. I think my first major is still very valuable.
    5
  11521. make a video on your MIR books please :)
    5
  11522. Cheers from india !!😉👍 Sir thank you so much your teaching is very much understandable and exciting to learn!!
    5
  11523. The forgotten knowledge of the fallen superdeveloped civilization…
    5
  11524. 6:00 that needs to be the meme of the year, thanks it helped a lot sir !!
    5
  11525. The more A’s I get in math, the more inadequate I feel as a mathematician. The more I know, the more I know I don’t know. It’s a difficult feeling to get used to. One more thing: in a lot of math classes you can get away with just doing problems and never really memorizing the definitions and theorems. That approach doesn’t work beyond a certain level.
    5
  11526. I'm so excited to get back in this when I'm ready. Commenting to my future self. (02/04/2021) How you finding topology hums?
    5
  11527. What do you think of exams like the Putnam? Did you take it as an undergraduate student?
    5
  11528. Sick tiny home!!
    5
  11529. Missed the part where the professor notices that everyone flunked the test, doesn’t curve it, and blames class for being dumb rather than reevaluating their teaching methods.
    5
  11530. Bro ain't coming slow 🥳 Sometimes, we need things like this to get rid of the exhaustion.
    5
  11531. Thank you very much, it does make sense! And now I can clearly see through this problem.
    5
  11532. thanks alot.was very simple
    5
  11533. Question's literally in my mid-term and it's to do from home. Thanks!
    5
  11534. I wonder how anybody can just read a math book. I find I have to work along even with regards to explanations. Yes, I think that people might hesitate because nobody like wasting notebook pages for nothing, or "wasting" paper. What I did to get over that inhibition was to go to White Board and Dry Erase Markers. But the small White Boards they sell are terrible in that they defy cleaning and turn grey. So what I did was get 11 by 14 inch picture frames with glass fronting. Just put in sheets of white paper and you got the best White Boards available. Use the Thin Dry Erase Markers. Problems get big but I can't remember ever using more than 4 boards to get through anything (but I have eight frames sitting around). But, yeah, you can move really fast with White Boards and it not so embarrassing when you go off in a wrong direction because you can REALLY erase with a White Board, when with paper and pencil you always have the telltale rebuke of erasures to instill shame. Of course, when I started taking formal classes I decided I needed to get used to pencil and paper again (you know, practice with the same violin you'll use at Carnegie Hall) .
    5
  11535.  @TheMathSorcerer  Thank you so much, we will be in touch for any inquiry!
    5
  11536. He is right. I always loved math but social pressure to hate math and think high level math is impractical for "real world" situations (which is ironically the complete opposite) can "cloud" one's goals.
    5
  11537. ALL HAIL THE MATH SORCERER
    5
  11538. What about Casio scientific calculators?
    5
  11539. I love your videos love from India ❤️
    5
  11540. That book collection would rival many university libraries
    5
  11541.  @MsEady123  not me lol im actually more into design and drawing it can take a while for things to sink in(what goes where and why) I mean math can also be very elegant and beautiful when solving some types of problems but I found it very mechanistic once you get the core of what's going on... solving hard math problems gives alot of satisfaction too especially when you can grasp the fill extent of what it took to solve some problems lol
    5
  11542. “You ask me if an ordinary person—by studying hard—would get to be able to imagine these things like I imagine. Of course. I was an ordinary person who studied hard. There's no miracle people. It just happens they got interested in this thing, and they learned all this stuff. They're just people. There's no talent or special miracle ability to understand quantum mechanics or a miracle ability to imagine electromagnetic fields that comes without practice and reading and learning and study. So if you take an ordinary person who's willing to devote a great deal of time and study and work and thinking and mathematics, then he's become a scientist.” - Richard P. Feynman
    5
  11543. Hey math sorcerer! I got a 19.5/20 on my linear algebra midterm! I finished a 1.45h exam in 1h. You helped me a lot stay motivated.
    5
  11544. I love it when you respond to people here.
    5
  11545. +1 for youtube analytics [p.s. just bought this book :) ]
    5
  11546. James Stewart Essential Calculus is good for laying in bed & reading (it's light).
    5
  11547. I have to see the questions first, before I could rate my chances of passing the exam.
    5
  11548. You’re right, and thank you. Greetings and eternal gratitude from Germany. Many people here struggle with math, thank you for giving these alternatives and recommendations.
    5
  11549. Hey Math Sorcerer! Just wanted to let you know I'm loving your recommendation. The Mathematical Proofs by Chartrand, Polimeni and Zhang is really good :D Now a question. Once you mentioned you had a few problems when solving proofs involving inequalities. I think I am facing the same issue. Can you share a few resources that could help me practice these types of proofs involving inequalities?
    5
  11550. YouTube was dropping in on your convo
    5
  11551. It's never too late. Incorporate "superfoods" & herbalism into smoothies. You may buy yourself some time & gain some energy. Eat more smoothies!!!!
    5
  11552. Could you cover the AOPS books?
    5
  11553. Aren’t sinx ≈ x tanx ≈ x near 0? Thus, we have x/x (however, substitution appropriately) 3x/2x = 3/2
    5
  11554. the first 2 seconds of the video really got me scared 💀
    5
  11555. Also like books by Tom M Apostol
    5
  11556. I caught this 12 seconds after it came out, wow
    5
  11557. straightforward. Thank you
    5
  11558. I really love your videos, thanks so much for what you do.
    5
  11559. Imagination is more important then knowledge.
    5
  11560. Once I get my AP exams done I’m gonna try to live life the best I can this summer. Thanks again professor! :)
    5
  11561. English isn't your first language? You had me fooled!
    5
  11562. Correct thank you…..👍🏽👍🏽
    5
  11563. Do you know programming language sir?
    5
  11564. Thanks for this video, as studying maths on your own, you tend to hit air pockets quite often. This video helps.
    5
  11565.  @TheMathSorcerer  v kuuuc
    5
  11566. Great video! For noisy environments I recommend noise cancelling headphones. They are expensive, but are invaluable for focusing in noisy environments. I often use them without listening to music.
    5
  11567. So accessible and inspiring. Don't stop til WE have enough ! ❤
    5
  11568. hmm.. that is interesting but I disagree. I think it opens the door for comparing yourself with others, which sometimes has negative psychological consequences.
    5
  11569. I asked my colleague who has a PhD in Math what is the hardest major. I was sure he was going to say math, but nope. Here's his rank: 1) Electrical Engineering (need to know math, physics, engineering courses, hands-on engineering lab projects), 2) Physics, 3) Philosophy (surprise), and 4) Math. He put math down further because he said that once you learn a certain set of math principles, you can use them again later in higher level courses.
    5
  11570. you are doing great, we need more channels like yours's that actually helps people learn the math.
    5
  11571.  @TheMathSorcerer  oh thank u for the fastest answer!¡¡
    5
  11572. You're helping me Out even in Berlin, gemarny
    5
  11573. Oohh finally!
    5
  11574.  @TheMathSorcerer  For example, the CS undergrad pathway at my school includes Calc I, II, II plus discrete math, linear algebra, and probability and statistics. And the data structures and algorithm classes are the same as a math major who focuses on discrete math as it is mostly graph theory and proofs - only difference is a math major says "vertex" where a CS major says "node!" I have a tutor who has a masters in math and he knows all the algorithm asymptotic behavior I had to study (Big "O" etc). It was only until I got to algorithm analysis of problems that can NOT be solved that he had little knowledge.
    5
  11575. Paul Erdos’ book “My Brain is Open “. An easy read that gives a taste of his talent and ability to work with other mathematicians.
    5
  11576. I've been able to find and purchase books at really cheap prices from abebooks. I bought one math book for like $2. The shipping cost more than the book itself though.
    5
  11577. Pleaseeeee!!! Up up up
    5
  11578. Rock on! Love math, always have and its applications in physics, CS etc. I use it non stop in my AI comp sci work. Have become lazy recently however as chatgpt /claudeAI etc make it so I don’t always need to breakdown the math parts in my code now as they do so quickly. Anyway love the channel. Party on!
    5
  11579. This cost me like 10 points on an exam cuz I forgot the fact that 1/1+x^2 just equals arctanx. ;c
    5
  11580. It was very helpful. Keep posting more. Thankyou :)
    5
  11581. Roots!!!!
    5
  11582. I'm someone who suck at math on my primary school. On the start of my highschool year, we had algebra and that got me almost mad, I really had no idea what the teacher is writing, I feel dyslexic, my grades are going low and low. Eventually during the the third grading, our topic is about slope-intercept form and that's the start of my "enlightenment" I can now follow what the teacher is writing, I start engaging and asking questions. From then on I started to love math. Personally, I think that students should find a certain topic that is easy for them to build as their foundation of understanding. Then get along with the similar topics and then carry on to other if they feel they really understand it. This may be really hard in a class setting because everyone moves in a different phase and some may even feel shy asking questions. But atleast you can also approach someone knowledgeable if you really want to learn.
    5
  11583. Thank you, this was very confusing to me
    5
  11584. Weierstrass monster and Vitali set, an undergraduates glitch in the matrix equivalents
    5
  11585. When people first give you a like and then watch your videos, then you know you're good... 👍 😀
    5
  11586. You are right teacher. It is hard to focus. Discipline is essential and believe me, in my case do physical actvities have activated my mind to be more alert and more motivated to teach, to learn and study. Never leave your physical condition ignored. Probably this student benefited from the exercises early in the morning. So, go running, use your bike work out. Be active !!! You will have more energy to organize your studies you believe you able to learn because it helps to put away bad feeling like " i cant do it" . Don't carry on a sedentary life. I was doing it and always complaining that life was tough, it was hard to work as a teacher every day from 7am to 5 pm. Why? Low energy!!!! Today i study math and physics at 53 and carry on a much happier life simply because i discoved i was physically dead. Don't do that people!!!! Do exercise and live, learn and work full of happiness. Thanks teacher for sharing this video. ✍️💪✍️👣🏃‍♀️🏃‍♂️🏃‍♀️✍️✍️✍️🏃‍♀️🏃‍♂️💪
    5
  11587. ❤
    5
  11588. That is very true. It's not really their fault, I've seen the teachers who teach basic integration in my place, they get started with the rules and formulas, and skip all the basics. A student does not know, that dx is the width of that rectangle, and that dx has to be very small so that the rectangle has negligible width, hence all the rectangles can fit accurately in the graph.A student also doesn't get the essence of f(x)dx, the integrand.f(x) is just the height, and dx is just the width, and integration is a type of summation, summing all those rectangles of negligible width.Integration is continuous, while summation is discrete. These stuff might seem really basic, but where I live, 90% of the people who are professionals at integration dont know it. Sad....
    5
  11589. This is amazing.i am studying Kreyszig Engineering math book.lots of relations and tone of subject. didnt know what to do untill i have found this Video.Do u have more advice to study this crazy book?
    5
  11590. Lmao, that made my day
    5
  11591. Do you think it's possible to be a polymath in the modern day? I'm an aspiring astrophysicist/astrobiologist but I'm also interested in making some contributions to mathematics; particularly, I'm interested in theoretical fluid dynamics and chaos theory. What would your advice be? I want to get really good at maths: both applied and pure but I don't want to detract from my central research. Rather, I would like to be able to learn new maths in a way that complements my research and allows me to come up with a novel theory or helps me analyse astrophysical phenomena in greater depth.
    5
  11592. can anybody leave a lesson for trigonometry for beginners
    5
  11593. I think i made a mistake... *Stares at the board with suspicious for 20 minutes*... *erases half of the board*... -¡I told you all not to write this down! It s for you to do at home-"
    5
  11594. Thank you for making this video. I somewhat disagreed with the last video "You are what you think about", but completely agree with the message in this one. This way of thinking helps prevent downward spirals in life of which I have had several in my 36 years of life. I wish I ran into someone with such guidance during my childhood. 'Whether I shall turn out to be the hero of my own life, or whether that station will be held by anybody else, these pages must show'. From David Copperfield.
    5
  11595. What softwares and devices dis you use to record this video??
    5
  11596. What did you use to teach yourself the Jordan form?
    5
  11597. 😄
    5
  11598. You may have trouble with some particular subject, even if you give up, don't make it a permanant thing; go back and try again later. You may be surprised by what you are able to remember and accomplish the second or third time around . . .
    5
  11599. Thanks a lot for this! Would love to see a look at Volume 2. I'm guessing Volume 2 will cover electromagnetism?
    5
  11600. Merry Christmas, 🎅🏻🎄 professor. I wish I could start learning Math again. Success at Math I would like to achieve. You said it.
    5
  11601. I love trigonometry so much !!!
    5
  11602. Calc 1 was pretty nice for me, but calculus 2 absolutely destroyed me, hopefully i'll pass the semester and head into calc 3 (CS major here)
    5
  11603. I need these videos your like the only person who cares about everyone’s success
    5
  11604. What events lead to you obtaining an Alaska license plate? I struggle imagining you living it up in Alaska. What do I know though?
    5
  11605. great explanation
    5
  11606. Nice video:'). Well, few days ago i did a little challange to compute double integral of a function f(x,y) = 3x + 2y by using reimann sum, by dividing x into d parts and y into p parts, it took me about 10-12 minutes XD but it was really fun exercise :).
    5
  11607. Attempting the "more challenging" problems won't hurt you (At least that's what they say.) and can be a source of project ideas.
    5
  11608. I saw this in my recommended, google knows O_O
    5
  11609. How is this graduate? Everything I saw there was undergraduate
    5
  11610. Soon, I will be 28, really struggling now with my mentality and haven't started doing what I really want to do in my life
    5
  11611. This is the motivation I was looking for, thanks!
    5
  11612. Great help bro Thanks 😊
    5
  11613. Make videos on evaluation of exponential and logarithmic limits
    5
  11614. Wow, right before my math test! Thanks!
    5
  11615. "Go over all of the homework. Do every single problem." This is actually good advice. It should be much faster for you to redo the assignments the second time around.
    5
  11616. We need more of these kinds of videos. Primarily focusing on things that hinders us to make real and better progress. Thank you very much for this!!!!
    5
  11617. Your words of wisdom are those that ALL math nuts, like me, need to heed! :) :) Thank you lots, Math Sorcerer, for your service and dedication to math and to all of US!! ;) ;)
    5
  11618. OMG I'm from Lima, Perú too and I want to study agronomy at Unalm jeje😅
    5
  11619. Mathematics intelligence is very relative. I have met many average people, but with hard and dedicated work they have acquired much more knowledge than a lazy genius.
    5
  11620. Great video! I also wanted to say thanks for your channel! I saw your learning math from start to finish video and it was perfect as I’ve been wanting to go back and review some foundational things. Also you have such a positive attitude and your enthusiasm for math imparts on to me and likely many others. It’s a joy to watch your videos and watching someone talk about what they are genuinely passionate about as it’s so clear from the way you speak. Keep up the great work man and thanks for everything :)
    5
  11621. Thank you so much, I tried reading so many different web pages, listened to my lecture again and again, but the way you explained it is so much better!
    5
  11622. If you focus on learning and taking the best from every class, book, lecture, etc, it's a fact that you'll get good grades even if it's not your intention, big fan of this channel. 𝞹
    5
  11623. I'd say "Structure and Interpretation of Computer Programs" is more famous
    5
  11624. Options, Futures, and other Derivatives by Hull Dan Stefanica - A Primer for the Mathematics of Financial Engineering Physics and Finance by Ziemann is quite interesting Machine Learning in Finance - From Theory to Practice by Dixon The Econometrics of Financial Markets - Campbell, Ho, Mackinley Paul Wilmott on Quantitative Finance Zvi Bodie, Alex Kane, Alan Marcus - ISE Essentials of Investments, as a general introduction to finance
    5
  11625. I have found some old exams in my books as well. There was a take home final from 1962 in my copy of “Quantum Mechanics” by Powell and Crasemann and an exam from 1972 in one of my differential equations books. Also, if you want to see some of the interesting artwork on some of the covers of my books let me know and I can email you. One of my favorites is the dust covers on “Mathematics of Classical and Quantum Physics” by Byron and Fuller. It is so fitting considering that it was published in 1969 and it reflects the space race.
    5
  11626. I felt the weak point of this book is the bit about integration by substitution, which didn't make sense to me to the same extent as the rest of the book. I was gratified to find an article by David Gale, "Teaching integration by substitution" which both reassured me that it doesn't sense as presented and explains it properly.
    5
  11627. Studying math makes you rich!
    5
  11628.  @TheMathSorcerer  I recommend Classics of Philosophy by Pojman and Vaughn if you want a good cheap collection. The Plato translation isn't the best but else than that it's great.
    5
  11629. wheres the birb at
    5
  11630. What do you think of Tao’s books on analysis?
    5
  11631. You are a good person, thank you.
    5
  11632. √9
    5
  11633. I love your channel. I love the war stories, the words of encouragement, and letting us know the difficulty is okay, keep going—find the answers.
    5
  11634. Wearing shorts and a shirt and then wearing a winter hat when he has long hair to keep his head warm... simply amazing...
    5
  11635. The way he holds the marker with his fingers...
    5
  11636.  @azurabun0  same answer regardless mathematical ly
    5
  11637. It's pretty rare I get a problem without variables anymore, but if I am given them, I was always taught to simplify, simplify, simplify, so I would have found that what I'm given = 81 first and foremost, then just compared that to w/e the choices were, when simplified.
    5
  11638. Choose one: Spend extra $100,000 just for 2 extra rooms to make your house look bigger, or spend on 500 textbooks. I'd rather choose the latter...
    5
  11639.  @ryanj748  Just because it’s old doesn’t mean a beginner can’t use it. I think the biggest hurdles would be the notation and writing style. After that, the book could pair really well with another “easier” source and allow someone to see the same information twice but in a more detailed and formal way. It would be great for a new math major trying to expose themselves to more formal notation and language, maybe not so useful for someone just trying to learn linear algebra for its applications (ie. CS, engineering).
    5
  11640. Trigonometry synthesizes Algebra and Geometry.
    5
  11641. Depends on what u like tbh, I love math and physics and the engineering courses in general. Its hard sure but up for personal opinion. For exemple i hate reading alot so i would never survive med school
    5
  11642. Woah 225 bench brains and gains 👏🏾
    5
  11643. Hey I got a very cool solution just wanted to share it with everyone. If we set A=sqrt(x+12) , B=sqrt(x-3) Then we have A^2 - B^2 = 15 (A-B)(A+B) = 15 , since we already know from the question that A-B = 3 We have (A+B) = 15/3 = 5 Then adding the 2 equations A-B=3 and A+B=5 We have A=4 , squaring A we get the answer
    5
  11644. true, that was one of the first surprises I noticed after the college algebra is how much faster I could make decisions that would usually take either minutes, hours, or days. They could now be done in sometimes less than a second. It also restored some of the destroyed logic side of my brain that was ruined earlier in life via an unfortunate incident. I just don't think people who don't take math would know this happens since this is the first time I've heard it being discussed.
    5
  11645. Before you counter with another major, just remember that electrical engineering is the study of pure Electromagnetic physic plus advanced mathematics to create systems or devices. A lot of people only tend to see the fun side of designing electronic circuits in blocs with small calculations without realizing the much bigger area of complexity it covers when dealing with waves, light, heat and other elements through mathematics😂
    5
  11646. For me, a degree in art would have been harder.
    5
  11647. I completely agree with all your reasons!
    5
  11648. Ey stay out of my university, and stop doin this magic that is helping my life😂.😭🤣 Aha there is no way, I skipped complex today cause prof isn’t very good at teaching. And this video comes to out that might have saved me ✊🏿✊🏿✊🏿
    5
  11649. im from brazil and i really love your channel. great job!
    5
  11650. Killer calves.
    5
  11651. As a self learner of math (that's why I dwell here around) I do agree 100%. Why don't you try to make a video about a very weird subject you do not fully understand while trying to grasp the general idea? It might be interesting to "learn WITH you".
    5
  11652. Math sorcerer can you teach pde on yt
    5
  11653. this is such a weird method
    5
  11654. THANK YOU!!!
    5
  11655. Instapurchased this! I have a cs degree and just bought how to prove it because i eventually wanted to learn topology. So now I have two great books to get started
    5
  11656. This year I realised that math is extremely hard and weird you know sometimes I dont understand it and this just motivates me to learn as much as possible about it. Idk I guess my failure actually motivates me. And its ok to get a bad grade at math from time to time just dont let it get to you, learn from it and let it motivate you.
    5
  11657. True, practice, practice, practice = repetition, repetition, repetition = teaching.
    5
  11658. Thank youuuuuuuuuuu. I understand better than when i see the demostration.
    5
  11659. I had some undergraduate research experience. Regardless of whether it helps or not, its fun and helps you find research interest. I think its cool to show off and it gives you personality. Then again i don't run admissions :)
    5
  11660. Yeah but what if we fail because of our own inaction and mistakes?
    5
  11661. With immaturity comes youthful vigour, passion, drive, and energy. An energy drink, I like to think, for older Professors (see Hardy and Ramanujan!!!!!) With experience comes wisdom. While I do agree with your mathematical immaturity point. I feel you're discouraging people who have a drive to answer problems, from seeking out advisors and professors who can provide a potential path, guideline, and tutelage for them. To be frank, I've had enough of the STEM elitism BULLSHIT. We are a CO-OPERATIVE FAMILY. We are nothing without each other, Scientists, Technologists, Engineers, and Mathematicians. Sorry for, getting mildly emotional/personal Albu, I have limited time on this world left, after being told I can't and never will be able to achieve is what I interpreted from your words in the comment. Infinite love, Albu, thanks. We should be seeking to thrive, not survive. <3
    5
  11662. True. Failing my exam was the best thing that could have happen.
    5
  11663. Good evening from the UAE! wish you all live a healthy life full of accomplishments.
    5
  11664. Greetings Mr.Math Sorcerer, Thanks you very much for most valued approach for academia in pristine manner. Thanks once again,Sir. With regards, RanjithJoseph (R.J)
    5
  11665. A real gem! ( Essential Calculus with Applications, by Richard Silverman, great as well)
    5
  11666. I'm a professor and this is all absolutely true. Over the years I've only ever actually reported a small handful of students for cheating, but it's very easy to see when someone is cheating on an assignment, and I've seen it waaaay more times than I've reported it. It's often something that I wouldn't actually be able to prove*, but *I know.
    5
  11667. people need to understand that resting and breaks are just as important as study time. I would always do 30-40min of work for 5-10min of rest. Stand up, get coffee, stretch, get a water, etc.
    5
  11668. when you get a degree in math you are getting just a small sample of math there is so much to study , so much to discover.
    5
  11669. Do you recommend any specific test to evaluate my math skills? I am literally in doubt about the math I have! I am coming from an engineering background, now I am a graduate student in computer science, but still not confident about the math I have.. how much I have, how to improve it, how to start filling the gaps? I need to identify the gaps first.. your short videos are so helpful.
    5
  11670. Your youthful exuberance is admirable!! Advice from an Old Bastard: keep life balanced. Burn-out is a serious risk! During my Undergrad years and early in my career, I went through a couple of serious burn-out cycles; fortunately, I was a bachelor & didn't have anyone depending upon me for a livelihood.
    5
  11671. Working out daily go problems has improved my ability to focus considerably. I really struggled at first, because I couldn't remember which variations I had explored, and my mind kept jumping around. I try to completely work out the solution, then verify it works in my head before playing any move. The Tsumego Pro app (android) is the best app I've found for practicing go problems.
    5
  11672. Love your recomended books
    5
  11673. Sir all of your points are very relevant and truly very helpful. I was a below average student but in the last one and a half year I self taught myself and worked out my problems.Today I not only feel confident but also realised how beautiful this discipline is.Because of my poor score in high school I was not able to get a major in Maths but downloaded pdf and purchased books to learn the courses .Now I am also preparing for my entrance examination for masters in maths , your videos act like a guide for me. Definitely would like to meet you in person one day and have a mathematical discussion. With love and respect from India.
    5
  11674. Very helpfull book. I borrowed it.❤❤❤ Thanks for it ❤
    5
  11675. Nice books sir :)
    5
  11676. Thank you sir for always helping and motivating, your videos are simply ' The Best '
    5
  11677. Oh! So you are the Math professor who has patented 'one click proof' algorithm 😮
    5
  11678. Today : how to fail math class Next day : how to get 100 in maths ...
    5
  11679. Bravo!
    5
  11680. OMG!! I own "Early Transcendentals" 3E by Stewart!! My best friend gave it to me!! I'm so excited by this video!! It's soo much better than my class textbook: "Calculus," 11E by Ron Larson. ET rocks!!!! 🤘 (No offense if you're reading this, Ron.) There's no way that I could've a done better job than either of these authors, but E.T. is so much more "student friendly" and has a student manuel/solution guide WITH steps!! Yes, folks... WITH steps!!!!
    5
  11681. Hey I am the first one to watch your video🤗🤗🤗🤗🤗.Love you sir,you are the best
    5
  11682. Perfekt! The only thing what I need then is intelligence.🤣
    5
  11683. Same here, I was 27 yo when I started my Math Bachelors´degree
    5
  11684. 41:20 is the laziest attempt I've ever seen at erasing a board haha. Love your other videos talking about math. I just started a 5 week crash course in DE, so I'll be following this whole series. I appreciate your efforts, Mr. Sorcerer.
    5
  11685. I’m taking real analysis this semester and my teacher is focusing a lot on metric spaces. Do you know a good book for that since most of real analysis books don’t cover a lot of metric spaces?
    5
  11686. You should check out Structure and Interpretation of Computer Programs by Harold Abelson, Gerald Jay Sussman. It is also a very famous CS book.
    5
  11687. Finally made sense (former student and fan- currently at FSU - Olivia E !!)
    5
  11688. You would not believe. Just in time just had a lecture end at 1:05 about linearization and hyperbolic functions.
    5
  11689. For the most part, university physics requires nearly zero calculus. If I remember correctly, the only calculus was in derivations; in other words, you can solve the actual problems without calculus.
    5
  11690. I study mechanical engineering Preparing for my math exams but also for others(which are mostly math as well) I study 6-8 hours a day and every 2 hours I take 30 min breaks to eat(don’t underestimate your calories burned while studying) I also work out for 1 hour a day, helps a lot with back pain(which I experienced appears when you sit for very long and don’t exercise) and does wonders for balancing your day Sometimes I studied longer and ate less, led to headaches and exhaustion Studying one day for too long will leave you burned out for next day and therefore you will progress slower Everyone needs to find their balance at which they’re most efficient at
    5
  11691. i am so thankful for your channel, i dropped out sophmore year, but have always had a huge interest in math. it's been hard for me to find resources outside of school to learn, so this is a big big help! thank you so much!
    5
  11692. Thank you!!!
    5
  11693. I just bought it for $18 on Amazon!
    5
  11694. He's Cuban
    5
  11695. My advice for this person is specifically about getting ready for that first calculus class: Make sure you are very strong on all the topics covered in a standard precalculus book/class. Very often in calculus you will find yourself manipulating some equation or function using algebra or trig until it is in a form that you can do a calculus technique on it. Then BOOM, you do the calculus technique--which sometimes itself is very simple. Then some more algebra or trig manipulation to get the result in a nice form that you want for understanding or presenting it.
    5
  11696. Excellent explanation bro , do you do video requests?
    5
  11697. A great textbook! Used it as a reference text, when I studied physics. I preferred it over my course textbook, which was very, very famous - Halliday and Resnick.
    5
  11698. merry Christmas Math Sorcerer
    5
  11699. Hey Math Sorcerer, here's a question about proofs like this (and any others I suppose): I have no problem following what you did there, but had you asked me to construct his proof from scratch I can tell you one of the big places I would get hung up. And that is know exactly what "things" I can take as given (or "axiomatic" if you prefer) and thus don't need to be proven as part of the proof being constructed. Example: "for two integers to be multiplied and equal 1, they have to be either 1 and 1 or -1 and -1". I can see intuitively that that's true, but I can't see intuitively whether it's merely intuition, or whether it's something that must be accepted as true. Also earlier when you said something about "the definition of division"... I don't think I've ever actually seen it written out explicitly anywhere what "the definition of division" is in a formal sense. It's just kinda presented as "here, here's how you divide these two things", but without necessarily saying "and thus you can assume the following definition(s) in future proofs". So the question is, how do you internalize all those foundational rules and/or know what can simply be assumed to be true without any additional explanation required. I mean, obviously one could start everything from, say, the axioms of Zermelo-Fraenkel set theory, but that doesn't seem to be required for everything. For example, you never had to reference ZFS here. Any help in this regard is greatly appreciated.
    5
  11700. Hard work beats talent until talent works hard...
    5
  11701. Do you also procastinate??
    5
  11702. I took calc 3 before Diff EQ. Just rip the dam bandage off and get the pain over with.
    5
  11703. I have the 2nd edition of the Abbot's book published in 2015 which I bought from Springer Verlag (German publisher). Every year from March to June/July, Springer's yellow book sales offers some mathematics books at a discount of 50%, many are worth buying at such a low price. I also have the instructor solution manual for the 1st edition printed 2004. I was previously going to read Abbott's book but now I think I shall start Buck's book instead. Thanks for the video advice.
    5
  11704. Kudos for improper integrals!! :)
    5
  11705. god this is my favorite math book
    5
  11706. This was my physics book back in college. I enjoyed all the explanations.
    5
  11707. I am from India & I absolutely hated my math teacher. He used to beat us with a cane if we failed to answer or didn't do our homework in front of 60other students. Now a days teachers have mellowed down a bit but I absolutely hated it when I was in high school. Imagine the shame when you are being beaten black & blue in front of girls, GOD!! that left a deep impact on my psyche.
    5
  11708. lol 😂 not sure if it’s a compliment or what XD
    5
  11709. Thanks for this video! I’m a prospective adult learner looking to get an engineering degree, and I had no idea where to start. I want to score as high on the placement test as I can.
    5
  11710. You explain very well. I wish I could be live in your class over there: my maths life will then be a great one. 🎯 Kudos to you, Prof.
    5
  11711. I have the 4 book set, which sits at the centerpiece of my bookshelf. I also have a couple used copies. Interestingly, I also have a copy of Vol 2 with super thin pages and Asian lettering. Mine says it was an authorized reprint for sale in Taiwan only, by the Taipei Publications Trading Company. Got mine on thriftbooks.
    5
  11712. 😊👍 it was helpful
    5
  11713. 🙏🇮🇳❤️
    5
  11714. Why it took so long? Also congrats
    5
  11715. This is the best channel 🏆 I am a trader,and i tell you.....what you show here.....its everything!!!
    5
  11716. Could you make a video on books required for the international math olympiad? This would be greatly appreciated.
    5
  11717. I was questioning my decisions to make math a career when I stumbled upon your channel but your enthusiasm and honesty helped push me to do some self-study and rediscover what made me fall in love with this subject to begin with!
    5
  11718. Your videos are the perfect addition to my life, your timing is always perfect and every word you say matters. Greetings from Poland!! Keep up the good work!!
    5
  11719. Please make a video on " what is that level for a mathematician or physicist to develope his own mathematics for theory or not for theory like Newton, Hilbert did " I'm really in search of this question, please answer. Your follower.
    5
  11720. That's a really good advice. Thanks! I'll watch more Math videos now.
    5
  11721. The funniest part when the guy is in trouble to utter the name "Lomonosov" - probably one of the most famous Russian scientist known for the world.... 🤣😅😅😅 (Anyway it is a good video and thanks for it.)
    5
  11722. Math Sorcerer would you bring a chemical engineer to the channel? Thank you to motivate my study and help to improve my english jaja greetings from Chile🇨🇱
    5
  11723. You been lifting and slonking some steak and eggs!
    5
  11724. Awesome, i think that differential equiations are very hard, but with ur video really I enjoy more of this! Good luck Maestro
    5
  11725. I'm curious: What do you think about Thomas' Calculus book?
    5
  11726. You've got a gift for teaching math! Thank you so much, made this super easy to understand
    5
  11727. This channel is really good and engaging. The information and advice given really helps.
    5
  11728. Congrats on reaching 1 million subs ! We love you man.
    5
  11729. Well, I am doing well LOL but if I had to write down 5 reasons why most students don't do well. 1. Not reading the book. Going straight to solving problems. Not really understanding the material, definitions, etc. Just memorizing. So when the prof. throws a variation of the problem, they blank. 2. Not doing enough problems/HW correctly. By this, I mean actually solving problems from start to finish without any notes, or examples. (lots of students need to look at a example to solve a problem, so they never learn to do it 100% themselves). Kind of goes back to #1. 3. Not getting help from the prof., other students, etc. when you're stuck, or don't understand something (after trying to teach yourself) 4. Genuinely don't like a topic. I'm a math instructor, but I hate many topics in math including probability, abstract algebra, some topics in linear algebra, etc. This makes me not want to study it. 5. Tired! Not getting enough sleep. Overworking. Etc.
    5
  11730. Now I want to study math even more! Studying math obviously means less time spent doing dirty dishes, pursuing a career, commuting to that career, family time, etc. Priorities! ✨🤓✨
    5
  11731. How about Algebra by McLane and B I r k h o f f ?
    5
  11732. Thanks for the comment!!! Help me a lot!
    5
  11733. You know sometimes I wonder if Id like that life. Peaceful and intellectually entertaining. Started my real analysis self study a month ago!
    5
  11734. Hey! I feel you, Sorcerer .... 🙄😌😪😴 Expectation : OMG! The classes would be like those cool Coursera or Udemy courses. It's gonna' be much more productive and interesting! Reality: What the heck is PC Load Letter ? 😣😖😩
    5
  11735. Legerdemain is ‘sleight of hand’.
    5
  11736. My problem is the start. I found that starting with something easy helps me dive in faster. A lot of anxiety drops when I trick myself into a small problem where I can stop after I’m done. Usually I’m too much into the task to get out. There are times when I’m grasping at a complex subject and I need a lot of reading time with long distractions so that my subconscious can sink into the problem space. There are three stages to learning and they should be accommodated.
    5
  11737. Perfect 🤩 thanks again math is Life
    5
  11738. Is it worth for someone like me to study maths even after finishing school? 🤔 I always sucked at maths and now I feel like I wasted my 12 years of school cause of it.
    5
  11739. Stop sniffing those inocent math books it just freaking creepy😡
    5
  11740. rewatching - miss you and calculus!
    5
  11741. I'm a med student and it feels so good to learn these problems again cause I totally forgot them, thanks👍
    5
  11742. I have the same strategy like you. Reading as much as i can and watching math videos from the math sorcerer and Dr. Peyam is way more beneficial than my university classes.
    5
  11743. I like Maths, Physics and the part of Chemistry which is closer to Physics. But sometimes I have days like that. Thank you for the advice!.
    5
  11744. Those face reactions are truly accurate
    5
  11745. so, in a given ODEs class, that is the hardest math class they will ever take. calc ii? probably the hardest for most of them.
    5
  11746. The 276th problem in the book should have "an ellipse" as the answer. This is because considering motion in the horizontal direction we have acceleration equal to total acceleration times x/r, but since total acceleration is proportional to r the acceleration in x direction is proportional to the x coordinate and oppositely directed. Similarly the y acceleration is proportional to y and oppositely directed . This is the hallmark of motion in an ellipse.
    5
  11747. The open book exams were always the toughest.
    5
  11748. What is your opinion for going to grad school where you did your undergrad?
    5
  11749. Topology and linear algebra obviously. Because every advanced subject in maths buils on top of these two and uses them in countless ways. Actually, sometimes they're countable. Depends if the space in your faculty is seperable.
    5
  11750. About being fast or slow, I can make mistakes in both ways. What makes me an automatic error machine.
    5
  11751. Inspiration > Fear as the currency of motivation!
    5
  11752. Awesome video! I subbed forever ago when I was in Calc 3, and since then the number of videos I watch has dropped, but this one has peaked my interest yet again. I forgot how cool Calc 2 was!!
    5
  11753. An aspect of mathematical maturity is achieved by regularly detoxifying one's brain. A sober body does this automatically during consecutive sleep cycles at night. Using a bathroom in the morning removes toxins from a body, and a more mature brain ready for mathematics results. Five or six ninety-minute sleep cycles is a good brain usage aide.
    5
  11754. U love math but my teacher examples are trash and makes me feel like I'm useless . please help me ohh math Gandalf
    5
  11755. Rofl! Best comment ever! Made my day!
    5
  11756. Thanks sir,from Bangladesh
    5
  11757. I've just finished my studies in ODE (I took Simmons' book). Now, I'm studying for my research (in Brazil, for undergraduate, we have a national research project, called Pibic). It's gonna take role in functional analysis and Hilbert's spaces; for now, I'm on metric spaces and gonna take a look at topology after I finish this (if someone would send me a book about these topics, my myopia would be grateful) Ps: I've loved your video about study groups. Me and my math club thank you
    5
  11758. On point. Would love to hear more life lessons from you, Math Sorcerer. Thanks for your effort.
    5
  11759. do you have any tips on how to study for international math olympiad? i’m a sophomore in high school and i’m alright at math, but inherently awful at math competition questions
    5
  11760. Hey! I have that book! A friend of mine gave it to me. I’m 37 and back in school for engineering, but was a terrible math student in high school (20 years ago). I made it through Pre-Algebra, studied by myself to test out of geometry, passed Trig and am now doing Calculus this semester. It’s been kind of an exciting journey, and so far this book has been a great supplement to my course book.
    5
  11761. Cool!
    5
  11762. My problem thanks sir!
    5
  11763. I also like analysing a proof's steps backwards to check for any errors or missed steps.
    5
  11764. Your channel is very beneficial for us, who are interested in math and physics. Thank you Mr. Sorcerer for your great content.
    5
  11765. Matrix operations are the work of Satan!
    5
  11766. Your words are so encouraging for me, i needed it Thankyou very much And please keep guiding us
    5
  11767. I love some pie.
    5
  11768. 6:37 I love trig identities. Very fun ❤
    5
  11769. This advice is excellent - I've always shared some resentment with probability whilst studying mathematics, and I always found that I could tolerate dedicating a semester to probability when I'd spend some of my time focusing on mathematics that I do enjoy (but the opposite is not true here).
    5
  11770. Great video! I would love to see some longer videos from you. Your five minute videos are great, but longer ones of you talking about these things would be even better.
    5
  11771. Wow! You seem like an amazing teacher math sorcerer! Wish I had you as a teacher.
    5
  11772. me too:yougotthis:
    5
  11773. Keep a study diary including things-to-do pages. Keep tracks of what you are studying from day to day. Everyday, I use a study diary. In it, I write down the titles of video tutorials that I watch, plus the names of channel. I also jot down names of digital loans of ebooks from Open Library, great website for millions of ebooks. In the left margins, I draw stars to indicate rates of worthwhile learning. I write abbreviations there too: TH for "too hard."
    5
  11774. Great video! Thank you!
    5
  11775. where is your damn face :( and the classroom :() / wonderfully explained tho
    5
  11776. Hi math sorcerer :)
    5
  11777. Discrete math is one of my fav math classes! Thank you for this recommendation! :)
    5
  11778. Thanx biro 😹
    5
  11779. hey math sorcerre im 16 but have started studying discrete mathematics and it has distruebed my school so should i quit please advice me
    5
  11780. Sorcerer is from the universe where Jeff Bezos continue to pursue a math degree.
    5
  11781. 3 AM, I'm an engineering student from Mexico, thanks man, you're awesome :)
    5
  11782. I love your cockatiel. Mine is named Janet
    5
  11783.  @pinklady7184  yeah, I never had him for a class but from what I heard it was sort of a final straw situation, sounded like it wasn't the first complaint made of that nature
    5
  11784. You're the cool uncle I always wanted to have!
    5
  11785. Differential equations with LinAl( multivariable mathematics-trotter), Linear algebra(Axler), Introduction to analysis( Bartle, sherbert + baby Rudin)
    5
  11786. Gud
    5
  11787. BEST EXPLANATION. THANKS SIR
    5
  11788. Math books by Micheal Kelley are amazing. I most like his "Complete Idiot's Guide" series, and no one must be fooled by this fancy title. It is real and well explained math.
    5
  11789. "Its the math sorcerer attacking personally!!!!!"
    5
  11790. Respect you sir. You are doing great work.
    5
  11791. Would negative 3i also be a square root?
    5
  11792. My linear algebra final was brutal
    5
  11793. Integration by parts
    5
  11794. Is a math degree thg e same as a computer science degree because they both test your logic
    5
  11795. and your patience lmao
    5
  11796. Start to Finish? Finish? Where does it end?
    5
  11797. Hello! First of all, great video. I just have one question. Are the intervals always 0 and 1 for t? A reply would be appreciated. Thank you! Subbing for more great content.
    5
  11798. Unfortunately, later editions of this book (at least for the paperbacks) omit the steps inside the cover.
    5
  11799. Is this a university lecture?
    5
  11800. I think it is important to mention that Elsgolts was making this course for Physics Department of MSU probably at its peak of its scientific power (50s-60s). That is why you will see soo many examples from physics and most of math in this book will used as a math base of other physics courses. It is not very pure Math course. BTW, if you read Russian you can find this course for free in many scientific corners of the internet.
    5
  11801. He's created value for his customers along with employment opportunities for many who don't appreciate him. So. In the place of Mr. Bezos, thank you for your concern and opinion.
    5
  11802. Congratulations! ❤🎉👍👍👍
    5
  11803. Thank you, you're by far the best mathematics educator on YouTube ❤️
    5
  11804. In the middle ages, theologians used to have a debate around the following question: could a man be happy on the rack? Funny question, but one I still cannot answer. Also -- do you think you could do a series of videos for mature adults who learned less than grade 12 math many eons ago, and who now want to learn on their own? Where does one begin to get into math as a middle aged man so as to learn enough to take a math class in college, which is the ultimate goa?
    5
  11805. Thanks for another awesome books recommendation video. With proofs, I always wonder how to understand them. Because I see proof based questions in books but I can't understand a lot of the time. I guess its because I'm not at a certain level. How does a mathematicians construct proofs?
    5
  11806. I saw the book covers the Jordan Canonical Form and I am struggling with it, can you do some videos on it, please? Cheers.
    5
  11807. I really wanna learn from you though. don't care but you're super amazing for a math teacher
    5
  11808. 1/2I think proofs are made up of two parts. 1) proving that some relation is true 2) communicating that the relation is true. The first is important because we want to know wether or not we a true relation. But the second is important, to allow others to see how you arrived at your conclusion and that the conclusion is correct. The first part only requires the smallest amount of steps. But the second requires the shortest amount of steps required for the reader to understand the proof. Though it may be useful to give the reader more legroom than is required.
    5
  11809. When you're self studying you're both the teacher and the student. You have to he extra careful to get things right and this kind of engagement engraves the knowledge in your mind.
    5
  11810. I love Spivak's book, it's made me have the most solid foundation on calculus i could possibly wish for.
    5
  11811. Great Review!
    5
  11812. This video really helped me. Thanks!
    5
  11813. math sorcerer always clutch in helping me actually understand things
    5
  11814. The problem with Introductory Abstract Algebra is students dont get enough exposure to technicalities on Set-Theoretic Reasoning. So they're more prone to having difficulty when asked to write down their own proof They might be knowledgeble, up to certain extent, about Zorn Lemma/ Axiom of Choice; but to fathom its consequences in proving methods? Hardly! It's because the big guys in Maths, considered such technicalities as overly- redundant and inhibits students to spark some delightful curiosity into the abstract algebra. Instructors are being tormented with various ways of introducing this beautiful subject and yet still be blamed. It's quite ironic if CS students know by heart Zassenhaus Lemma but have never gotten their hands on Lattices
    5
  11815. Looks like a great book, i will cheek it out! More about russian authors!.
    5
  11816. That would be sacrilege.
    5
  11817. Solutions? LOL
    5
  11818. i don't know why your videos don't show up in my feed even though i'm subbed
    5
  11819. The Calculus classes seemed difficult while doing them; however, I realized how easy they were once I got to Analysis. The good news is that they are all fun! I'd rather be punching the wall in frustration over some Calc 2 integration technique problem or an Analysis proof than working on some group project for a GenEd course!!!!
    5
  11820. 1:25 made my day ... I didn't know I was famous :-)
    5
  11821. How many math subjects exist?
    5
  11822. There are thousands of math subjects, requiring 224 pages to list them all. Here is a link to the list: https://zbmath.org/static/msc2020.pdf
    5
  11823. This is a great book for beginning algebra students. Thank you so very much for showing this book.
    5
  11824. Imagine if someone asked to take a look at your homework, and they just marked up all of your mistakes, like hey problem 14 17 18 19 and 21 are all wrong, uh here's a little scribble that might help ya.
    5
  11825. I don't want to startle you and I'm pretty sure that I'm not drunk, but it looks like you are standing on the shoulder of a mathematician!
    5
  11826. Thanks, better than my math teacher
    5
  11827. Really, you dropped out too?!? I dropped out around 9th, but ironically it’s funny how life works and that this video came out really recently just as life has handed me a crossroad in life, cause honestly I could pass that test with flying colors it’s just math was the only thing that demotivated me and made me depressed cause at a certain point I couldn’t understand anything and it was stressful as a kid, but now that I’m 21 I’m gonna try to achieve the impossible by myself and graduate-
    5
  11828. Big difference between being alone and being lonely. I like working on statistics alone (part of my job). I get completely immersed in it - it's very satisfying 😌
    5
  11829. And when you have done all the homework and prepared well for the exam the exam is full of conundrums that weren't even covered on the class.
    5
  11830. Thanks for all you do, I self studied algebra and trigonometry for a few months. Currently taking Calculus 1 at a local college. Never thought I was capable of doing math at this level. When I was younger I was always in a hurry, never took the time to fully immerse myself in what I was supposed to be studying.
    5
  11831. Thanks man, this really helped
    5
  11832. 1964 printing? 'A long time ago' you say? Wow, all that math must have gotten stale by now.
    5
  11833. You should tell that to my math professor
    5
  11834. hey can you make a video on roadmap for real analysis
    5
  11835. I actually find that that old typeface is easier to read than times new roman. For me, letters blend into each other because there's to much "flourish" in times new roman. K.I.S.S.
    5
  11836. Hello all :)
    5
  11837. You're doing Gods work.
    5
  11838. Epic
    5
  11839. Thanks, I really needed that
    5
  11840. Embossed covers. Acid free paper. Built to last :-)
    5
  11841. genius! I don't know how to thank you, I was in a trouble and this video saved me, a lot of thanks again..
    5
  11842. Currently trying to understand differential geometry. I may upload content on the subject once I grasp it.
    5
  11843. "Mike,the mathematician", on YouTube, uses matrices to balance a propane chemical equation.
    5
  11844. I didn’t buy a single book, I just used my lecture notes.
    5
  11845. Love from Pakistan!
    5
  11846. Thank you. It helped😇
    5
  11847. I have a low IQ and I still have hope for myself.
    5
  11848. We should get all the materials and study
    5
  11849. prolly a hotspot with lte.
    5
  11850. I do Mathematics because I can invent something by myself, with a just a copy and a pen. For example, in Physics, I would have to go to a lab, to say, discover the complex topics, like Heisenberg Uncertainity Principle, etc etc. But in Maths, I can even derive the complex topics, starting from a Hypothesis. This is why I do Math!
    5
  11851. All jokes aside, I think you hit the nail right on the head here. I identify these problems in myself and it prevents me from taking the next step in my math/physics career. Can't decide on any particular area of math and jump from subject to subject.
    5
  11852. Yes, math can be studied also by older students. I met some over 50 and even over 60 and they made it to M.Sc. and Ph.D. level.
    5
  11853. Hey Math Sorcerer, I've got two books you may enjoy looking into: A Book of Abstract Algebra by Charles C Pinter. It's a Dover reprint of the 2nd edition. I love the first chapter, and I love how the exercises are organized. It's very conversational and very readable. An Invitation to Real Analysis by Luis F. Moreno It breaks a lot of topics down into several chapters. It's a thick book published by MAA. Great video as always!
    5
  11854. I'm surprised you didn't mention AOPS books. They are great for learning math very seriously. They have books from pre-algebra and beyond to calculus
    5
  11855. I think you just helped me pass my pre calc test. Thank you so much!!
    5
  11856. I never studied group theory so I appreciated your including definitions in your steps to solution.
    5
  11857. Nobody ever taught me the proof in trigonometry :(
    5
  11858. Watching this after doing 14.2-14.6 in one day, with one eye open at 1am. Ty ty ty 😉 This is worth 2% extra credit on our 2nd exam tomorrow.
    5
  11859. You're really helpful, thank you very much!
    5
  11860. Renan W. P. It depends on how u count and the program. Usually you need 3 real analysis classes after calc 3 to take functional analysis
    5
  11861. I am really thankful for your advice I am your biggest fan 💟💟💟
    5
  11862. Another great video with impeccable timing!
    5
  11863. There are many interpretations of this. Sir, you gave an example in which you hated graph theory, But, let's say some person (say Jon) loved Graph theory and was absolutely a master in solving its problems. That person would resist to new opinions in Graph Theory, and resist alot of the knowledge provided, just because of a superiority complex, which was a gift of being a master at it. Jon was so good at graph theory, that he never wanted to learn new things from others, he never wanted to attend the classes because he thought he knew everything, and he resisted solving "easy" problems, solely because of his talent. This gradually would lead to a detoriation in his skills. Hence, an "open mind" is VERY important for a very intelligent person as well. Said from person exp😊
    5
  11864. Am I seeing it right, or why are here no comments?
    5
  11865. This triggers me more than it should. It's like they deal with logic but they can't use it themselves
    5
  11866. thank youu
    5
  11867. Sir suggest a book for advanced real analysis
    5
  11868. Can u do a video on non teaching jobs b for math major
    5
  11869. Thanks!
    5
  11870. You're a great professor, I wish you were my professor :'(
    5
  11871. I didn't change my major, instead i got a double major.
    5
  11872. Fantastic video, thanks. I love how you talk about the books as well!
    5
  11873. First here 😈😈😈🗿 didn't know you invested in stock
    5
  11874. Gold star for mathematical excellence!
    5
  11875. Civil engineer studying for the Profesional Engineer, PE, license exam on the east coast. What you are saying is very good advice and highly relevant and coincidental to my own experience and tribulations at the engineering school and engineering job. And this advice and also FREE to boot. Incredible. Thank you so much -- I wish you good health and success in your life and in maths, my friend!
    5
  11876. Love from India sir❤️
    5
  11877. True.
    5
  11878. Is it just me or he really does look like Newton?
    5
  11879. I showed up for the numbers, but now I’m calculating my life choices.
    5
  11880. 1. Your videos are excellent. 2. There is nothing worse than having to leave for tomorrow, forming an insight about something you are close to forming. (but burnout is bad too)
    5
  11881. That makes Intuitive sense, thanks
    5
  11882. When I see this video, I was like so fast and it blew off my mind XD That is some nice rocking teaching XD Nice costume XD So damn easy to understand XD
    5
  11883. I'm currently a first year undergraduate physics student and I can now do things I never learned in high school, they just come naturally to me, but back then I had no idea, so much so that I eventually just switched off. I didn't even have an idea about what we were learning. I also think attitude plays an integral role because when I decided I wanted to study physics I also wanted to learn maths, and suddenly I became one of top students regarding maths
    5
  11884. First
    5
  11885. What you really need is an encouraging teacher~👍
    5
  11886. I disagree with the self-learning/teaching being hard. It's the best. And it's real! Self-doubt, for me at least, will only make me more eager to achieve perfection. Also, you don't necessarily have to work really, really hard, you should work smart, and even be creative and come up with things that will build a bridge to make your path more efficient, quick, and better off, and of course, obsess and do work hard! Intelligence helps, but it's not a rule. You can work mindlessly and insanely, minimally if you have a crystal clear goal and a focus, but the best is to work with your internal powers and that working machine inside of you, as well as part consciously. It's really a balance to be able to work like a genius, and to do, make, achieve, solve, and answer. I'm studying history at the moment, specifically historical and genius figures. Thanks for sharing!
    5
  11887. Awesome content! I'm currently studying for Bio-1 and I'm starting to see how Biology courses can make or break a student's decision in their major, career goals, etc. I'm not giving up, I believe hard work leads to a better experience. Thank you, Math Sorcerer!
    5
  11888. I don't know when I'm soo bored I'll get solutions in a creative way but if I sit and study I'll not even get a single solution 😅
    5
  11889. The German word "vier" (meaning 4) rhymes with the English "deer". Just put an "f" infront. Very similar words are also: - fear (tone down the a) - fierce (stop before the z loud)
    5
  11890. I have this one as well, found it for a few bucks at a local used bookstore. Good book and cheap!
    5
  11891. Thank you for presenting this ordered set.
    5
  11892. And videos are shorter and shorter...))) After maybe a year you will manage to compress your thoughts in just one second :D
    5
  11893. Thank you for sharing a lot math books on your channel. I’m definitely going to see if I can read this one. I just started some calculus courses and am quite enjoying the beauty of math overall.
    5
  11894. great vid! I was feeling like I was a history major , I could tell you all this stuff people did but was not sure how to use it! I could not answer the Question "So What" and in business that is the only question people want answered.
    5
  11895. "Professor dork" Yes take me into the class!!
    5
  11896. There are some TM 9-2820s on eBay, mostly for about $30 US each it seems. As it's a US government publication, though, it should be legal to disseminate the contents for free online. If the Internet Archive gets a copy it should be able to make it freely available. 4:12 , 5:24 : I assume that most of this stuff (updated and expanded with metric parts and so on) is still very much on the curriculum for the machinists who produce metal parts based on a mechanical engineer's drawings. You also can't avoid entirely avoid maths in carpentry either, especially if you're a master carpenter on structural-carpentry jobs. Wood's actually tricky enough as it expands and contracts in extreme and uneven but somewhat predictable ways: you'd need a combination of reference tables and some maths to calculate the necessary margins in some applications. Overall, books like these are probably a fairly good way to encourage secondary-school students to stop moaning that they'll never need algebra in "real life".
    5
  11897. man,after i started timing my studying sessions,things changed for the better.
    5
  11898. This is awesome; thank you so much!
    5
  11899. This is what I asked for - more interviews with math's authors especially while there is an opportunity- I listened to every second of this video - I will save one of his books for a christmas gift idea for me :)
    5
  11900. Mastery is all about deliberate practice. Never give up! 🙂
    5
  11901. The book Basic Algebra by the same author can be regarded as a newer version of these two books. Basic Algebra has a newer system of symbols and notations, together with more exercises.
    5
  11902. I just got two books in the mail today, A History of Greek Mathematics Vol. I and II by Heath. These seem really amazing. I don't expect I'll read them cover to cover but anything you would ever want to know about math in ancient Greece can be found in these books if it can be found anywhere.
    5
  11903. DDDUUUUDDEEEE you are the math treasure!! I’ve been on my math journey after self studying to get back into school and I do well and what you say is so encouraging and I find it to be very true in what I’ve seen so far so thank you for this video! I actually have a playlist for when I get down about math and this is goin in there!
    5
  11904. He did point that out in the video.
    5
  11905. Man, that was right on time. Exactly what I needed to hear, today. I was just looking at the long road ahead. Yes, riveting anticipation rather than despair. 👍🏽
    5
  11906. Math and programming 💪💪
    5
  11907. Legendary book reviewed by a legendary math youtuber...
    5
  11908. ❤
    5
  11909. I just read your “Wake Up” it’s one of the best books I have read. I highly recommend it!
    5
  11910. I have been doing maths through a mix of coursework and self study and really liked the precalc book, but I found the Vellman book hard to follow, I think it was too early for me or just not suited to me. I'm finding an older book called Basic Concepts of Elementary Mathematics by William Schlaaf much friendlier for starting to learn proofs. Maths Sorcerer, and many others recommend the Vellman book though so it is likely at least worth a loan from the library!
    5
  11911. i really enjoyed this video, and it was very helpful, could you make one about multivariable calculus / vector calculus ??
    5
  11912. Great video! This could not be more helpful. Thank you!
    5
  11913. nerd 🤓
    5
  11914. What, are you surprised that a math channel is talking about math?
    5
  11915. Thanks Math Sorcerer!! Your videos have really helped me genuinely enjoy learning math, which has never happened to me before haha (it certainly wasn't the case in high school). I took a couple of physics classes in college and got top marks so I then thought well if I can do physics, then I can do math! I'm about to start a masters of actuarial science and I'm so excited and so nervous! Thanks for the video :))
    5
  11916. Hahaha Not. Not today, I'm gonna solve those pretty quadratic equations >:v
    5
  11917. I purchased Spivak's "Supplement to Calculus", thinking it was possibly a study guide or something. But it turned out to just be a solutions manual for the 2nd edition. 😅 Thankfully, Spivak does also have an interesting intro book called "The Hitchhiker's Guide to Calculus". 😉
    5
  11918. I think reading out loud is better than reading in silence. Also as soon as something makes sense to you, pretend to teach it to someone else out loud.
    5
  11919. thanks you just saved my grade
    5
  11920. On my third failure I'm feeling a lot of resentment towards Mathematics right now.
    5
  11921. Can you say "Hi" for the people from Brazil? We love you <3
    5
  11922. Thanks a bunch, your math book recommendations are just awesome. Currently working through Pinter "A Book of Abstract Algebra" (my new favourite book!) and "Mathematical Proofs: A Transition to Advanced Mathematics" (reeally great), I think both were recommendations of yours, I can't thank you enough. Just ordered this one, too :D
    5
  11923. cool your mention to Richard Stallman :)
    5
  11924. Dear math Sorcerer: I am one of those old guys who studied math in the 1960s. To be sure math books were difficult to read and understand but we learned math anyway. We believed that learning math was just as important to our future as being able to read. What math studies were like was we learned various processes to start with known facts and through various processes we could arrive at a the correct solution. This set me up for a big surprise when I took differential equations. We used Boyce and Diprima's second edition. On the first or second page we ran into a second order ordinary differential equation. And our teacher asked us to guess at a solution. This was a fundamental shift from how we learned to solve problems. I didn't know how to guess at an answer, but as time went on I learned how. I went on to learn a lot of physics and spent my life as an engineer working for the Department of Energy. Now I'm an old man who loves math more than most other things. I agree with you people need to learn math to live their life and be able to solve problems. Take care my dear friend your pal Rick
    5
  11925. I've always wondered as well, especially for the unsolved problems. How does someone know that they've proven something correctly if you may have been the only mathematician able to come up with it? No other mathematicians out there were able to figure it out, so hows can the body agree that it is correct?
    5
  11926. I was able to find a second edition revised by Ian Stewart in 1996. It's still cool you have the original, @The Math Sorcerer.
    5
  11927. Exactly! Genuine inspiration makes authentic passion! Authentic passion makes you work sincerely - such an excellent recipe to succeed! And that makes all the difference! Bravo mate! Excellent! 👍👍👍
    5
  11928. Yes but after a failure, you need to make corrections. You need to know you've failed. If others know your fall, but not you that's dangerous.
    5
  11929. Cool book! I have a really good geometry textbook called Elementary Geometry for College Students by Alexander and Koeberlein that really helped me learn that subject. I definitely recommend it.
    5
  11930. Los videos de este señor me levantan el ánimo bien cabrón. Thank you sm Math sorcerer<3
    5
  11931. Do you read the Piskunov Differential and Integral Calculus?
    5
  11932. Maths is life. I can do maths for the whole day without getting bore. ❣️🇮🇳🙏
    5
  11933.  @andyl.5998  Lmaoo
    5
  11934. 0:28 is actually wrong lol
    5
  11935. This helped me way too much, it's an extremely tricky subject and it's really helping me in my class!
    5
  11936. Buy 60 books to learn calculus in 60 min.
    5
  11937. Third
    5
  11938. 7. Pay attention in class and focus on understanding the key concepts being explained to you during lecture.
    5
  11939. Primer comentario 😜❤️
    5
  11940. So true
    5
  11941. Your videos have helped me so much with my statistics class. Thank you so much!!
    5
  11942. Thank you for this video. I recently started think about switching my major from data science to mathematics. I think I’m going to keep my major and just take more math classes.
    5
  11943. Hello Math Sorcerer! I love your videos and I love your spanish channel (I'm from Mexico), I was curious if you have read the Algebra book by Aurelio Baldor, I want to know your opinion on it Good video have a nice day!
    5
  11944. This is inspiring. Truly appreciate it.
    5
  11945. Never too old. I was an abject failure in math at school. I think it took a long time for my brain to fully develop- except I had remarkable abilities in language and literature which saved me from complete academic failure. Now in my late 60's I'm intrigued with mathematics and want to learn as much as i can so that i can understand the beauty of mathematical language.
    5
  11946. Brien boi Cool, but I am learning Calc and Differential Equations at 12 years old (I have worked with linear algebra). I also make videos on those topics.
    5
  11947.  @thetheoreticalnerd7662  Damn, competition math! I've gone through math olympiad books a few times, and some of those are damn near impossible... and my favorite people are those who are more successful than me at specifically math, so of course I'd give you a positive response. I sometimes dream about where I'd be if I didn't go to Arizona art schools for 10 out of my 13 years of school... Imagine having family members who went to University... I probably would've been like every math 'genius' I've heard about though, getting hella bored before getting halfway through highschool. But I still wonder where I'd be if I had ambition when I was young. I painted myself in an overly positive light in the original comment btw. I just sat around doing nothing for like 5 years, doing pre-algebra 4 years in a row and then that geometry class... it makes me cringe that I didn't yell at my teachers for that. I'd be doing calc 3 and diffy-Qs at 13 instead of 17 if I just... you DON'T need pre-algebra if you just take a good normal algebra class. I shouldn't even have taken Geometry the year I did, we had 2 teachers in the same year. We only got through like the first 3 chapters in class... Hell, I wouldn't have been bored if I still liked math after all of that, I'm just looking for excuses for why I did what I did. I don't even like people who don't like math... why did I even try to make friends in elementary school or highschool? So many sacrifices for "friends" I was so lazy uuuuuugh. Thank you for reading this chapter of existential crises with Brien. Tune in next week to learn about his experience at art schools, and ending up never liking art. Guess why he did that? He wanted to make FRIENDS... I like 4 people, not worth it.
    5
  11948. Hello friend! I second Abebooks!
    5
  11949. 16 years 😳 bro I can't even do a hour
    5
  11950. I think because I had a mentally disabled child; I had to teach them how to think, makes me understand the need to know how to learn, think and execute became important. People are so insulted when you tell them what they take for granted. Its not that you cant, there is just a way. Ways can be good and beneficial. Give you a frame work and reference to think further out, your ideas. Now I have to convince people there is still mental retardation. It still shows, its just difficult to see at first because of the steps taken to think things out.
    5
  11951. 3:20 LOL. Welcome to good burger, home of the good burger. Would you like some tautologies with that?
    5
  11952. Yes 👍 i love it continues
    5
  11953. don't let college put you on the fast track to a dead end. i know many students with A's and they learn very little. never forget College is a business and it is not longer good enough just to get the paper
    5
  11954. I’ve been trying to find Stand and Deliver. Our Geometry showed it to us in HS. It’s a good movie.
    5
  11955. See if you can get hold of “Problems in General Physics” by Igor Irodov.
    5
  11956. Wow! I thank you for your videos, I truly appreciate it. I'm in grade 8 and yet I understand Calculus 1. Just because I've never given up, no mater how hard the problem my be. Anyone who is reading this comment I hope you have a fantastic day!
    5
  11957. Let's hope Serge Lang had a long happy life. Let's hope he had lived well and lived in peace; that he had regular friends and family in his life; that he had made many beautiful memories of life before he passed away. In spirit, he would love to see his books being put to good use and helping many students.
    5
  11958.  @TheMathSorcerer  And explain how to stay motivated.
    5
  11959. I appreciate these simple videos for sake of the young learners out there. But you might consider the title to be "limit of a constant".
    5
  11960. My first language is Greek, and although my English accent is good, I just really struggle with the English Mathematics terms. I always forget something, as every term in Greek is different 😂😭
    5
  11961. math is my substitute for playing video games.
    5
  11962. Thank you so much for your videos. You do a real public service!
    5
  11963. Wow tao has an undergrad analysis (aka inequality theory) text??? I have his measure text INCREDIBLE
    5
  11964. Here's an actual situation with a colleague of mine who is working as a software engineer for a VR company. He was doing great with coding and stuff but since he's working with VR, matrices and transformations are involved, so he had to take a whole month off just to learn all of that stuff. I took it as an advice and as a CS student, focusing on maths is like solving a problem as a future investment rather than focusing all my focus on CS concepts and coding. Basically, take CS to solve a short term problem (money, career ASAP), take Maths to make life easier in the long run!
    5
  11965. This is like a French art film, only better.
    5
  11966. I own the book by Bear, with the dust jacket like you do here. I hope someday that you review the massive two volume work by Morse and Feschbach: “Methods of Theoretical Physics”
    5
  11967. I am ok with trigonometry, as I had learned much of that in mechanical/technical drawing in school. Technical drawing taught me theorems of triangles, circles, arcs, areas, etc. I received my first ever calculus book last week: "Calculus, Metric Version" 8th edition by James Stewart. I've been reading it everyday. Next week, I expect linear algebra books in the post. I cannot wait.
    5
  11968. Thank you mr Math Sorcerer! I'm doing my math homework the morning before my class and you're a life saver. :)
    5
  11969. Baby got book 😛
    5
  11970. Hello sir. I want you to become my teacher honestly. Your teaching skill is amazing that anyone will understand what you're talking about. Thankyou you're the reason why i'm still in engineering. Can i have some request?? Would you give more example about that topic harder than before. Hihihi thankyou i'm from the philippines hope you noticed me😃
    5
  11971. Trigonometry for EE. You will use a lot of trig in circuit analysis and comms and you will see it in all your calculus classes as well, and if you don’t understand some of the stuff covered in your math classes you will get a better understanding when you actually use it in your EE classes, especially if you have a good instructor.
    5
  11972. How about books, such as, Calculus with Analytic Geometry?
    5
  11973. Thank you , Sir
    5
  11974. Your videos are very motivating ..❤
    5
  11975. I am from Saudi Arabia and I really want to say thank you sooooo much.
    5
  11976. Those who have cleared TIFR GS exam in India know all of these Math just after undergraduation
    5
  11977. Knowledge is everywhere, but in books the authors condense subject to chapters and allows us to gain the knowledge retain it and use it, Your Mom uses Math in the Kitchen and doing bills and budgets, remind her that she also collects 'stuff'
    5
  11978. You are such an amazing math teacher❤
    5
  11979. I would say that is one of my main disadvantages. I feel like I need to keep working on a proof and I spend too much time till finally i just look for solutions or get it. I was wondering if you could give me an advice. On the one hand, my system is totally inefficient in terms of grades. People that just focus on copying hundreds of problems with a solution sheets obtain higher grades than I do. On the other hand, I feel like the knowledge over the hours of work wasted on commiting those thousands of errors provided me with an enourmos mastering of the topic, way more than if i had quit sooner. I feel that this is the way i want to learn ( i enjoy it a lot) but ,unfortunately, I need good grades to get admited into phd programmes and mine are good but not outstading as the others guys... Thanks great video!
    5
  11980. I didnt know brian may was this passionate about math
    5
  11981. Great video! I was wondering if you've got the Princeton Companion to Applied Mathematics, and if so, what you think about it? As I understand it, it's not a textbook, but a collections of articles introducing different areas of math, and then giving applications of it.
    5
  11982. Thank you for such a quick explanation step by step... the worst part of being self concious of my skills in math is being so nervous i can't even think what to do in the first place. Thanks a lot
    5
  11983. nice book i would buy that
    5
  11984. I recall fond memories of reading through this book :) My teacher had said, he has read it 16 times and now on his 17th run !
    5
  11985. Any tips for studying multiple subjects at once. I want to become a physicist but it’s really hard finding time to read a physics and math textbook simultaneously.
    5
  11986. practical tips all of them and i actually observed all 5 of your aforementioned commandments ;-) however, since i am a proponent of understanding all different aspects of the theory rather than solving a bunch of problems i also suggest consulting a few different books on the same subject to gain that very much deeded perspective especially on the 'difficult' topics.
    5
  11987. Keep posting these, always gives me motivation to keep going, even if it's something you've said/I've heard before. Always good to hear these thoughts out loud again.
    5
  11988. Getting inspired that you can do some problems is what makes motivation for me. For example to visualize how to proof formulas gives motivation to learn it for 80 hours.
    5
  11989. Love the little man example. ;D
    5
  11990. I self studdied Calc 2 this summer lol. Series sucked, but at least I got a 97% on the final I sat for. Next it's time to enroll in Calc 3
    5
  11991. Thinking about buying Tensor Analysis on Manifolds from Dover, do you have an opinions on that?
    5
  11992. First :)
    5
  11993. It's always java😊😊😊😊
    5
  11994. 👍I actually needed that right this minute! 🎉
    5
  11995. looking good my man
    5
  11996. Wow! I could tell this is a great book from the get go! I love the effort that Ross made in writing a discussion before the formal proof! Another great book that I have used was the INTRODUCTION TO REAL ANALYSIS by Bartle and Sherbert but after seeing your video I think this Ross book has surpassed the level of admiration I have for Bartle and Sherbert's book.
    5
  11997. What if you want to do a post-graduate mathematics degree outside of the USA?
    5
  11998. I had real analysis in first semester and it was doable in second semester I had real Analysis 2 and this was a Corona semester. Everyone I knew failed the first exam. It wasnt like the material was particularly hard we just had everything from manifolds to measure theory, a bit of differntial equations a numerics. This was like 3 classes in one.
    5
  11999. Wizard, buffing those Strength and vitality stats.
    5
  12000. Thank you for the review Math Sorcerer Sir. Older math books indeed have its own charms and encouraging its readers to do self study
    5
  12001. Justo lo que necesito
    5
  12002. Iam confused which to take physics or maths for my higher studies... I have 2 months to decide☹️
    5
  12003. Herstein revised the book in 1975. In the second edition, he expanded the chapter on group theory, added some material to the section on Galois theory, and added more than 150 problems. If you're going to use this great book, I'd definitely recommend the second edition.
    5
  12004. 1st one hi! math sorcerer 😊
    5
  12005. Awesome as always. Thank you, patiently waiting for that basic physic book recomendation :)
    5
  12006. Yes I do have some. Study hard in math you are diffently going to need it. I was apprentive electrician between 2003 to 2007 then millitary from 2007 to 2014 and then I studied on a 1 year access course for engineering and after that Electronic engineering from 2015 to 2019. Today I am 36 years old so it can be done but it is very hard 😊
    5
  12007. Please, could you talk about a book of differential equations for a degree students of Mathematics? Thanks in advance.
    5
  12008. Thanks a lot i will subscribe your channel👍🏻👍🏻😀😊
    5
  12009. I'm down!
    5
  12010. 20-25 hrs per week. Lmao. We study >45 hrs per week in HS in India. Calculus is introduced in Grade 11.
    5
  12011. Unfortunately, I don't have too many of these traits but still want to be a mathematician. Shite.
    5
  12012. I’ve loved mathematics since I was around 4 years old however I’m here for the wizard portion of the video.
    5
  12013. you just nailed in 5 minutes what my lecturer almost but couldn't quite in 2 lectures- thank you very much!
    5
  12014. I have taken calculus 1 and for me the derivatives the algebra and integrals and differential equations were not too bad, but limits were absolutely horrifying
    5
  12015. All I want to say is "thank you" for every video I really appreciate it and I'm sure many students do. Keep on doing the amazing work. To anyone who's reading this comment may you have a wonderful day!
    5
  12016. "much rather be playing league and owning some noobs" definitely relatable xD
    5
  12017. Wow you are a sorcerer. Can't believe I just watched a math video for fun.
    5
  12018. There is a solutions manual by Hannes Thorsell in a pdf format
    5
  12019. Retake exams? Accepting late homework? Not what my math professors be like.
    5
  12020. Just saying that's maths and friends at school for you. The classic Q 👌 is can I have a look 😂😂😂
    5
  12021. I never smelled my books. I just tried Christopher Moore, _Fluke, Or I Know Why the Winged Whale Sings_. Barely any scent at all. He buys a lot of heavily used older volumes. Perhaps books that are open a lot (textbooks) collect more odor carrying substances than novels that are read & then closed until another reader briefly exposes each page to the environment.
    5
  12022. came here to say that i passed my ED course thanks to you, amazing playlist
    5
  12023. That accent tho 😂
    5
  12024. i 8 sum pi
    5
  12025.  @TheMathSorcerer  practice is never bad. I like to practice math problems for 45 minutes when I am able to get to it.
    5
  12026. Holy spherical cow, Batman! You found yourself a gem, Professor! Great find, but please don't grab the binding of the book like that. It made me feel uneasy after re-watching.
    5
  12027. I've never commented before, but I want to say I love your channel and I think it's a real service to many, many people around the world. I appreciate what you do. I don't know if you know the answer or can find out the answer but one thing I've wondered about the calculus textbook world is how a particular textbook supplants the current dominant textbook to become the new dominant one. For example, what is it about James Stewart's that caused it to be adopted so much more widely than Howard Anton and Ron Larson? Did a higher percentage of students stick through all three semesters? Or was it because professors identified with it more than Howard Anton's folksy way of writing (which I personally happen to like very much)? Or was it simply a superior marketing and business effort? It's fascinating to me that the math itself hasn't changed but yet there will just be a handful or fewer textbooks in any given decade that you see in use at schools everywhere in the English speaking world.
    5
  12028. Thank you so much for this!
    5
  12029. From 3:14-3:25 was all I needed, something I wish Math professor would say more often.
    5
  12030. Hi. I realized im the next picasso. I dont want to learn math anymore, but an addiction to art, painting and beauty. I also dont want to write anymore. Also, my startup is a success Story, i cant do better.
    5
  12031. First
    5
  12032. I was trying to solve this same problem using undetermined coefficients and somehow got stuck. This really helped! Thanks.
    5
  12033. So inspirational. It takes a lot of courage to be so open about your experiences like that. I thank you.
    5
  12034. thank you so much! very simple and clear.
    5
  12035. Thank you for being concise!
    5
  12036. That was a homework problem in real analysis.
    5
  12037. You just can't sniff free. I also love the smell of books!!
    5
  12038. Wow, I love this
    5
  12039. Awesome, thank you so much!
    5
  12040. you just made studying for my midterm way easier thank you!!!!!
    5
  12041. Bro I can't finish my school maths book 😂 these are too much
    5
  12042. Eres mi inspiración ,me gustaría algún día estudiar matemáticas ☺️☀️👍
    5
  12043. Wow the channel has grown since the last time I was here 1 year ago
    5
  12044. You look like Jeff Bezos with hair
    5
  12045. Why is he staring at me
    5
  12046. We used the Apostol text for Mathematical Analysis in graduate school. It was intimidating at first but thankfully we had a professor who was an outstanding communicator.
    5
  12047. I am reading a "Comprehensive Course in Number Theory" [Cambridge University Press] from Alan Baker, Fields Medalist (1970) and FRS (Fellow of the Royal Society) & Fellow of Trinity College. Adams Prize (1972)
    5
  12048. Actually Teran, you're on the right track by studying the history of math. Most of the information is given in the forms of resolving proofs, which are hair raising at this time. But, read the text for the " reasons " for people's search for a " method " to solve the problems. As for Algebra, once you water it down to its most basic element in Ninth grade, it is the use of proportions! Usually, usually, usually you will be given three elements, components, or numbers. You will be asked to solve for the fourth ( the unknown). Just commit " ab=cx" to memory. And, the " x" value is what you're looking for! This will help you to solve at least 75 to 80% of your word problems. Please note, I’m not kidding. Good luck to you.
    5
  12049. Any books recommendations for studying probability?
    5
  12050. If you replace cosx by cos(x^2) this actually converges to a nice value!
    5
  12051. I just hope that you could work for wyzant so i can meet you. You're an amazing mathematician. Thank you for your inspiration. What's your email?
    5
  12052. Honestly, I don't trust any of those lock down browser stuff. So I just take tests on virtual machines.
    5
  12053. Why wasnt this video being uploaded 5 years ago???? Haha would make life easier!!!
    5
  12054. It is rare (and nice) for a book to have all solutions as promised, in the beginning.
    5
  12055. So a college mate of mine watches your videos, and they gave me a hard time when they read my 750 word essay from a week or so ago XD
    5
  12056. From what I remember, j is used because i usually stands for the intensity, just to avoid confusion (I don't know which one)
    5
  12057. DONE!!!!!! Just found myself a nicely-priced copy of a 1962 edition of Hausdorff's book even before I continued on with the rest of your video--THIS one, of course!!! Thank you, Dr. Math Sorcerer, for the tip!!! :) :) :) :) :) :)
    5
  12058. Fire as always
    5
  12059. You're the best math vlogger everyone ever dream of.
    5
  12060. A math teacher that gets excited about maths? Now I’ve seen it all
    5
  12061. Another brilliant book used by octogenarian mathematicians is 'Complex Variables' by E T Copson.Regards Dr Sabapathy.
    5
  12062. Super amazing lecture sir
    5
  12063. Iq is definitely not based on knowledge even if it is a thing. You need knowledge to solve problems in a particular setting. Let's take mathematics. Suppose you are solving differential equations, and you learn about them, you now know how to solve them and classify them on basis of homogeinity, linearity, etc. And only after you learn so much, when you are given a problem, you think about it, you try to solve it based on your previous knowledge. Iq does now have much role over here, since you know the stuff. But if you knew very little about differential equations, and maybe using your previous knowledge of integration, you see that you can integrate the differential equation by a little manipulation and you come up with that process just all by yourself (only with the prior knowledge of integration and critical thinking), then there is a role for intelligence over there. You don't know what variable seperable is, till now. But still you managed to manipulate the equation and apply integration and find the function. Intelligence is that sort of thing (if exists).
    5
  12064. I'm in high school. Plan to work up to some number theory stuff. That's probably my fav math subject. Just find it super interesting!
    5
  12065. Thanks for uploading motivating videoes steadily
    5
  12066. And thats the beauty of it. Not even programming languages end, because languages evolve so you have to keep learning the changes of the language.
    5
  12067. calc 1 is cake compared to calc 2 which is literal hell. calc 3 you meet satan himself.
    5
  12068. Hey, I loved your channel. I am physics student and what tips/channels/books would you reccomend me?
    5
  12069. i really only started taking my own grades seriously in my sophomore year of college, i.e roundabout the time i started seriously considering grad school for physics. grades are SUPER important for grad school applications, scholarships/fellowships. do not take them lightly, especially if you're trynna get into a PhD program.
    5
  12070. Real engineers with PE license use mechanical drafting pencils with pocket protector and a 6" 24 scale slide rule. Black lead for writing, red for markups and special lead so it won't show up on the copier on paper up to size E. Most electrical engineers don't have a PE license but technically you can't call yourself an engineer without it. Yes lots of math related courses, some engineering programs are 5 years instead of four. No worries once in practice you don't need all that math.
    5
  12071. I always try to understand the basic concept behind the theory in maths.... And i love Calculus in maths❤
    5
  12072. Thanks for the encouragement I am having a hard time with Homework right now :)
    5
  12073. pls make a video on how to compute cos(pi/3)
    5
  12074. As a student studying Post Grad in Economics we have a bunch of Math to learn, Real analysis and Linear Algebra and Optimal Control and differential equations and what not. Its very important to know what Math consists of before you sign up for it because I've seen so many students struggle with it. It is a beautiful subject, but it has its own perils! Lovely video.
    5
  12075. I can’t believe I read what was on his tee. Time extract some nerdiness.
    5
  12076. "Why am I here?" Damn that is deep. Btw, yeah, I kind of am a note taker. Asking questions is good. For yourself. If you are studying calculus, or even algebra, if you can ask a question about the subject, it shows you know the subject to a certain depth. Plus, it will make you want to answer the question, and so the memory is retained a lot better. This can be used for any subject, not just math.
    5
  12077. As always, happy to see you. From india 🇮🇳
    5
  12078. Yes, "Poisson" does mean fish in French =)
    5
  12079. A classic!
    5
  12080. I like the way you make calculus seem easy
    5
  12081. Okay i was just about to ask how long is it normal for self study on math book pages, man im only on page 7 havent even gotten to the exercises yet and its been a week, I did teach my self latex though and have been transcribing the book basically with all the notes im taking. and "made my first proofs", so I'm still riding high. It's better to gear up with with good loot before fighting the bosses though, as a sorcerer of sorts you should know this 😂
    5
  12082. 1. EUREKA moment finding out the formula for "sum of first n odd numbers" – while playing Triominoes. 2. Another such moment discovering that ⁿ√a is either an integer or an irrational. (already mentioned this in a previous video comment.) 3. Proving the "volume of a paraboloid" through Cavalieri's principle, after a few years of hope, trial and error. Sadly I was not able to spread this knowledge to others yet, or to get other YouTubers to make video sketches of this – I personally lack the tools for that. https://www.desmos.com/calculator/dxsbnbodpv 4. Finding an easy way to define "curvature". https://www.desmos.com/calculator/a4me25nrp2 5. Learning Calculus, and finding ways to write much cleaner proofs of limit problems than other friends of mine. 6. Learning Complex analysis online (not fully of course). 6 years ago I did not believe I would ever actually love it.
    5
  12083. i hope anna got an A too, Hahaha
    5
  12084. I'm almost done with my bachelor's degree in environmental science and you really helped me keep myself on track with the math that was involved, thank you. On to graduate school in marine biology next year and this will help immensely 🤗
    5
  12085. 🥰🥰🥰🥰
    5
  12086. I am learning your habit of naming symbols: "i-hat," 'j-hat," "k-hat." So i, j and k are each given a hat ^.
    5
  12087. Hi Sorcerer, What is the best book to learn linear algebra? Just the fundamentals not too deep?
    5
  12088. Math made my girlfriend happy. She loved watching my bank account add up.
    5
  12089. When I was at University I had to withdraw from real analysis and I was the only one in the class of 6 who had to. I'm so glad to hear your opinion on the difficulty of the class.
    5
  12090. I used to work at a window warehouse as well, it was a great job mostly hispanics and my spanish sucks so I barely talked to the guys I worked with but damn did i love the group always happy to work together we had some good times with our broken convos
    5
  12091. Blyth or Blythe usually rhymes with ‘writhe’.
    5
  12092. Thanks profe! It filled all the gaps in my textbook.
    5
  12093. I agree with your idea that math is harder in other coutries in undergrad level and before undergrad level. There are several reasons. I am a chinese. Because of the huge amount of population and fewer high-quality education，we need to study more things in math(also in chemistry, physics and so on) to compete with others before undergrad level. Traditional thought is that education can change people's life, so many parents pay more attention to their children's grade. Most of people want their children go to a offical university or collage. NCEE (like sat) include math. Natural-science-oriented area will give them more choice on choosing the offer (work or graduate level...)when they graduate. However, the problem in U.S is that there are so many selected credict in undergrad level math program. The requirment are just small like 10-11 classes.(4 calculus,2 real analysis,2 abstract algebra, 1 linear algebra and select senior level) If they do not choose more senior-level math class, compare to chinese's undergrad level math program, there is a huge distance. It is more easy for a student to graduate in undergrad level math program other than engineering program. I think people in U.S think that they do not need math, they can do more jobs in creative area. Even they are not good at nature-science, they can find other jobs in different areas. If you get AP(Advanced placement), you will have two calculus, but it is too easy to get 4 point and 5 point in AP calculus BC and exchange to calculus 1 &2 in undergraduate level. If you really like math, you can do honor level undergrad math program. However, this is choice, not requirement. It is hard for normal people to know they can have this kind's of choice.(at that time I am young, i do not know what is the plan,which is better, which course i need to choose) And Gre subject test in math do not include more idea other than these 10-11 courses, it seem to be good for you to go graduate level for just these 10-11 courses. if you just take these 10-11 course, it will be very hard when they go to graduate level. Compare to china, some test similiar to gre subject, there will be more choice, it is wider than 10-11 courses. And also when you ask someone for applying graduate or even work offer, I think they perfer high gra other than more math class than a lower gpa. People will choose some easy course to get 4.0 rather than take senior-level math. (pde, dymicals system, numerical method, complex analysis, fourier analysis and so on)
    5
  12094. I thought points 2 and 3 were particularly good. From my experience as a maths graduate, I have always believed that the teacher is only a catalyst for learning something and that you have to go away and teach yourself everything anyway to understand things properly. A good teacher does help though, as they can help you understand something quicker and it may take you less time and effort to learn that thing yourself when you go to review it. If the teacher is bad then you just go teach it to yourself anyway and the extra effort that you’ll be forced to put in will help to cement whatever you’re trying to learn in your head. To really understand something anyway requires you to think hard about the material, no matter whether you are taught it by a teacher or not.
    5
  12095. I took an introductory scientific computation course where we wrote programs in C and Fortran, and this was one of the required books. I really liked it! It was not my intro to programming in general, though, as I had taken courses in Java programming and had used Python for assignments in a different course. I imagine it would have been over my head had I not had prior programming experience. I kept it for a while after, as I took other courses where we could program in whatever language we liked for assignments. Eventually, I loaned it to another student and forgot to ask for it back. I'm still a little sad about that!
    5
  12096. Those insanely difficult derivatives actually look fairly easy bro, I remember taking calc 1 and, compared with integrals in calc 2 where you had to think and be a little creative, with calc 1 once you found the ultimate pattern of derivatives, it made doing 99% of derivative problems a matter of pattern recognition and careful rule application. The difference between easier and harder derivatives being a test of your patience and attention span.
    5
  12097. I think you're also interested so I can share my inventions PDFs with you I have file piled and I'm only 14½ years/old...Indian 10th Standard Student kindly respond sir...I have been watching you since your initial phase
    5
  12098. MY TEACHER DIDN'T TAUGHT ME THIS
    5
  12099. Good job Abdallah!
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  12100. I’m 28 year old who was bad at high school. I have been working as software developer for almost 6 years. I want to go in deep with software engineer I have to learn math. Thank for making this VDO. This is what I am looking for.
    5
  12101. NEWTON😮
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  12102. I've had How To Prove It for a while, very well done even though I haven't made it very far in. Very understandable and results oriented from what I can see. Not one of those textbooks written for people who already have a few PhDs in math. They used the Kreyszig book in our school, but for some reason, teachers don't teach there, so trying to understand it from just reading it was a nightmare. But if your algebra, calculus, & DEs are sharp, this will be an easy read. As you were going through the ToC, I remembered doing the same & thinking that this is about 5-6 separate individual courses in 1 book. Would be beautiful for review if anyone has the time.
    5
  12103. This stuff is precisely what I happen to be looking at right now. Yet again, I've marveled at the derivation of Euler's Formula. (It never gets old!) Then, onward to Demoivre's Theorem and complex algebra. Such a shiny area of math! ❤
    5
  12104. Love from India 🇮🇳
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  12105. True. I think he's talking about it in terms of personal development. In terms of finding a career, his advice is probably a lot less helpful. You might still want to think twice about it, ESPECIALLY if you're going to incur a lot of debt to do it.
    5
  12106. Sir, is anyone can become mathematician without deriving any own proof?
    5
  12107. Great video! One thing to note on the practice problem if you the viewer want insight that applies to other problems: one way to do the cancellation is to split the fractions between two partial products, re-index one of the products to start at, say, n=1, and then identifying what cancels when comparing terms with the same index. Visual pattern recognition is great with simple problems, but refining techniques of manipulating partial sums or products to get terms to cancel will eventually take you a lot further.
    5
  12108. Went to Berkeley and had a former MIT professor, this exam is fairly easy compared to hers tbh ....I wish I had multiple choice questions on any of my calc exams
    5
  12109. first first 😃
    5
  12110. Miracle of complex numbers
    5
  12111. I've got this book in my personal mathematics library at home!! Thank you for discussing!!
    5
  12112. He's got a Diff Eq book too!
    5
  12113. I’ve had this book for 40+ years. The bible of math!
    5
  12114. this video made me lock in for 5 hrs on programming thank you
    5
  12115. A true sorcerer. I've never seen that method of equating coefficients before, awesome!
    5
  12116.  @TheMathSorcerer  Power!!!
    5
  12117. But then you just gotta work harder than people who have talent and work hard 😎
    5
  12118. "no te rajes maestro " - The Math Sorcerer
    5
  12119. That's a great and elegant solution. Thank you, sir!
    5
  12120. "Hard work beats talent, until talent works hard." Hard work is one key and finding your "knack" is the other. Hard work will make you more talented than you could have imagined.
    5
  12121. Thank you for the info. I work really hard sometimes for 5 hours then I would be discouraged from working for some days. It is sometimes really hard to start working again because I would not like the feeling of having been burnt out. I will take a break now and then.
    5
  12122. I need a good maths teacher. Even when I put in the time nothing goes in my head lol. Seriously. I struggle so much with it. 😭
    5
  12123. in my masters degree studies i had classmate , 72 years old guy.
    5
  12124. Thanks for once again making Spivak's book feel less intimidating and more inviting! 👏 ❤️
    5
  12125. Could you do more great people like current famous mathematicians maybe
    5
  12126. The real struggle is trying to balance math and the real world. Honestly lost a lot of friendships and relationships cause I was too busy doing a proof or just wanted to read a book and ghosted people. It sucks but at the same time, I am the type of person who requires a certain amount of isolation everyday.
    5
  12127. Thank so much💖
    5
  12128. Why are you hurting me like this, math sorcerer?? What did I ever do to you?
    5
  12129. Hi Prof, could you consider doing a video on the math required for graduate study in economics? Perhaps you could collaborate with another scholar-educator in economics. Thank you!
    5
  12130. Thank you for this video. As someone, who studies physics and math I really appreciate the book recommenadations. The more i study math and physics, the more i love it.
    5
  12131. Hey Math Sorcerer, thanks for the resource! Also, if possible, please review Serge Lang's text on Complex Analysis.
    5
  12132. I’m VERY surprised nobody got an A
    5
  12133. That was so empowering! Growing up I hated math because it lowered my self esteem leading me to study it only to get 'just' passed, so I chose medical as a profession, but now the interest of math has risen because of physics, I FINALLY realised that its not about the pace, but about the depth.
    5
  12134. I'm here improving my listening English skill, AND learning the best books to learn math 😎🔥👊
    5
  12135. I started math seriously when I was about 15, before that I used to watch a lot of physics and chemistry and maths stuff but like on youtube, so not a didactic study, but when I was 15 I realized I had to study it seriously so that I could do what I wanted to do, so I started with Calculus and went to differential equations and vector calculus, now I'm 18 and not motivated at all because of the pandemic, I can't seem to get any motivation when I can't interact with human beings, and I think that goes with a lot of people
    5
  12136. 🙏❤️❤️❤️👍😎😀😘🎉
    5
  12137. Dude. You need to blink more
    5
  12138. Worthwhile practical philosophy. Thank you. 🙏
    5
  12139. Thanks for this useful video!
    5
  12140. I have a test in a few days and I was about to lose my mind after trying 4 different channels and not understanding their explanations. This video was a great help. Thanks a lot!
    5
  12141. Complex numbers are a form of two -dimensional numbers. There are two of them, One sqares to -1, and the other squares to 1. i = [[0, -1],[1, 0]] [ [a, -b], [b, a]] and [[a, b], [-b, a]], which are the two complex conjugates. e^(i t) = cos(t) + i sin(t) The other two-dimensional number the hyperbolic imaginary number squares to 1= [[1, 0], [0, ]]. The hyperbolic complex number is h = [[0, 1],[1, 0]] [[a, b], [ b, a]] with its complex conjugate [[a, -b], [-b, a]] e^(h t) = cosh(t) + h sinh(t)
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  12142. I am somewhat agnostic concerning technical analysis. However, the 1937 article, "The Summation of Random Causes as the Source of Cyclic Processes" by Eugen Slutsky has unexpected insights that might be used as a coutnerargument to some technical analysis techniques.
    5
  12143. Carlos G. Anguiano dog
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  12144. Still sticking to my original view. He looks like the manager of a Ron Jon's surf shop with a math book Library and a cute GF to help run the place.
    5
  12145. The irony is Bezos was so spooked by a PDE that he gave up on an academic career!
    5
  12146. Considering that engineering requires labs... I'd say engineering is harder.
    5
  12147. Great lesson. Thank you!
    5
  12148. Sir, I think it is more accurate to consider deaths as a counter set of the set "recoveries" The people who have died due to Coronavirus are 3000 The people infected=83000 Now the probability of recovery= 83000-3000/83000 Meaning 80,000/83000=0.963 or 96.3% P.S. : this is probably wrong sir, this was just for optimism 😂
    5
  12149. Thank you sir. You are helping me to fix my negative mindset. ❤
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  12150. Sandwich theorem: Lim(n+1)/(n+1) -> 1 as n -> infinity. Lim(n-1)/(n+1) -> 1 as n-> infinity. (n-1)/(n+1) < n/(n+1) < 1 Hence lim n/(n+1) -> infinity as n -> infinity
    5
  12151. Now me to my mom: didn't i tell you maa that maths is 8 foot tall monster
    5
  12152.  @dalebrown6148  If you have trouble with the subject, don't waste time seeking help. Talk to your teacher, join a study group, or seek a tutor. Everyone is different and no one book will solve the problem.
    5
  12153. Trying to tutor others helps
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  12154. great teacher
    5
  12155. There's several pics of Einstein using a fountain pen... I'm no Einstein, as anyone can tell you, but I like not having to stop thinking to sharpen a pencil or grab another one, and it just looks so nice.
    5
  12156. Ohhh, I think I am reading them wrong :) I mean, I am a kind of stubborn, if I do not understand something I can not skip and feel very bad. Also, I read math books like novels, I mean from cover to cover. So I have hard time to read a book and also I rarely finish a book ;p
    5
  12157. Jeff Bezos before Amazon (without haircut)
    5
  12158. Dear sorcerer, can you make please a video about math history books? Thanks in advance
    5
  12159. [0, inf) lol
    5
  12160. I like maths a lot but while solving any question, I just miss a lot of things said in the question. Sometimes I think I am not made for it. But still, I love it.
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  12161. Nice! I have a differential calculus book by Edwards written around the same time (1896) although mine is a 1929 reprint. Hopefully Dover will have a reprint of this one someday.
    5
  12162. I think in order for you to be in math sorcerer you have to dress up as a sorcerer
    5
  12163. underrated video on integrating, jeez this is so much easier after this. thank ya
    5
  12164. Much love 🧙❤️
    5
  12165. Thanks for the math sorcery. Rabbits outta thin air, I tell ya.
    5
  12166. just saved me so much time by seeing this video. Only thing for me is you didn't add the limit notation until the end, but other than that this clarified a ton of stuff for me. Thanks so much.
    5
  12167. Thank you very muchhhh
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  12168. Thank youu ♡ Finally understood the differences jUST IN TIME FOR MY MIDTERMS HAHA
    5
  12169. Technically you can learn calculus without any knowledge of trigonometry, but you would be missing out on a large part of calculus. The amount of stuff you would get out of calculus without knowing trig would be very minimal. So unless you are using calculus for business, I would recommend someone to know their trig because that way you get the most amount of stuff out of calculus. I am just saying though. Edit: I think this book is a great thing though. It seems awesome.
    5
  12170. My friend from Germany "I took algebraic topology in 3rd year undergrad" Me: um... what? I'm actually going from undergrad at a branch campus to grad school at a good school, so I've spend most of a year teaching myself measure theory, general and algebraic (and even a little low dimensional) topology, abstract algebra & Galois theory, etc. I also have about 40 math books now so hopefully I can eventually get a leg up before the fall. Side note: I did AP calc in high school (I'm in the US), I tried to do the more advanced AP calc in HS but that was too much haha
    5
  12171. Gracias por la recomendación! 🇲🇽
    5
  12172. My professor makes exams extremely hard for this class and this video clarified a lot! Thank you so much!!
    5
  12173. What time in your undergrad do you recommend applying for grad school? I'm going into my junior year this fall and I was going to take the math GRE in fall of my senior year, but I don't want to wait too late and potentially harm my applications.
    5
  12174. Hey! im not sure if you saw my latest comment; please make a trig course sir!! Do you prefer to upload them only on YT, or?
    5
  12175. teaching is a cake job, unlike programming or engineering
    5
  12176. THIS VIDEO NEEDS MORE LIKES 🗣🔥🗣🔥🗣🔥🗣🔥
    5
  12177. You voice is now the little voice in my head when I work piecewise functions. Well done.
    5
  12178. Estava precisando desse vídeo, estava pensando em desistir. Obrigada.
    5
  12179. Sometimes you're a math kid when you're in second grade, you've got a poster filled with stuff you don't understand yet as your only wall decoration, you fall in love with the subject, but then the schools you go to hold you still for a while. And sometimes you figure that you don't want to rush things and get stressed out. But then your life starts to fall apart for a little while, and you lose yourself, you know? You have friends, and they leave, you have treasured instructors, but then they get their PhD and move to Seattle, you like a girl and she says no, but you're not a good enough person to just let it be yet, and sometimes every good member of your family dies in a two year period and your life just gets really bad, and you're like "I don't wanna be who I was for THAT period of time" you identify that one of those things you didn't like about yourself was that you didn't row upstream, and you're like "what the Hell SELF?" And you decide then and there that you're going to take a class you don't have the prerequisites for yet, and then you sit in there with the teacher during lunches and after school and you hit the points you were weak on, then you jump over that prerequisite all together and you never bother taking it, then you take the highest class that was offered by that instructor who left, and you do it in half the time because that's how the lessons were spaced out, and then you do the next semester of the class because that's what you signed up for, and because the school felt guilty for not giving you a teacher, they pay for two semesters of that class for you, and you do incredibly well, and you find your calling, and you decide that you regretted too much of your life, and now you change instead of wallow, and it feels really good. And sometimes you decide to revisit those channels you knew in your youth, and you see that this magical subject makes perfect sense to you, and you see how much you've grown, and you realize that interacting with a world you can't begin to understand can change your life, and that understanding it suddenly changes your life again. It stops being mindless content that you consume because it's pretty, and it becomes content you interact with because it's beautiful. And then sometimes the entire world shuts down, and you realize that you're very happy you decided to do what you did, because it feels good. And then you finish that second semester, and then you think "what now?" And you realize that quarantine opens up a world you've always wanted to join. The world of the "self taughts" and you join that world, and you teach yourself the next semester of the course, and you aren't lost in a time the old you would have been lost. Math builds on itself, and it builds on you, it builds up more and more until that subject becomes part of your very identity. It develops into a kind of measurable self confidence. You know that maybe you aren't pretty, maybe nobody loves you, but then also that you made it all up to cover up some void in you, and people start to love you, and you start to be pretty, and you start to be you, because you just did the thing, instead of taking the route of regret, you push yourself off that slide, you decide a mountain climb sounds like a better analogy for your life. And maybe it isn't the snap of a finger, but if it was, the journey wouldn't change you. Ya know? (That was certainly a fun writing exercise)
    5
  12180. Eat your heart out professor Leonard... lol
    5
  12181. Your channel has been one of the most helpful channels with my calculus class. Thank you.
    5
  12182. It’s a sinch!!!
    5
  12183. The Poisson distribution is named after the French mathematician Simeon Poisson and if I remember correctly one early application was analysis by the Prussian army of soldier deaths caused by accidental horse kicks. Good book btw, I think I used this one in my probability and statistics class during my undergrad. I also took stochastic processes and it was a heavy course although interesting. It was helpful in my research in understanding classical and quantum walks.
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  12184. I try to come back to this video now and then to update my answer based on my unfolding experiences as an undergrad. My current best advice.. DON'T LOOK UP THE ANSWER!!!
    5
  12185. I am a math and statistics major But I really love computer science
    5
  12186. Nutrition helps with cognitive function, like your new board,I buy books with out covers,( worn),many hands turned their pages, great stories and info,by
    5
  12187. American math students are crippled by their lack of training in writing proofs. They memorize and apply formulas, but as soon as they encounter a problem that's phrased in an unfamiliar way or that doesn't lend itself to a straightforward application of the formula, they're stuck! Proof writing is necessary to gain a wider view so that ALL the problems within a particular topic become accessible, not only the ones contrived so that the whole class can get an A.
    5
  12188. I think that this is were math fails unfortunately. Strategy is more important than expectations. There are too many factors and if statistics really works, it would not be taught at uni. It's good for other things but not this.
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  12189. I am 23 years old and I've always had the belief that I will never get math or any other exact science yet I was drooling over them. I read a lot, and I think (not sure yet) I am smart enough to understand that I know very little about this world. I've decided to challenge myself with math, I promised myself that I will be very patient. I want to discipline my mind. This is my first video of you, and, oh my God, you are so simple and still so "beautiful" in your Being, don't know exact words. And it's contagious. I can feel my dopamine rising just looking at you and listening to you. Thank you!
    5
  12190. Lots of love all the way from Zimbabwe 🇿🇼 ❤❤❤
    5
  12191. I'm new to proofs. I don't like this kind of proof because it assumes you already have a formula. What about a proof that also derives the formula?
    5
  12192. Mostly crying, and then working on a book I'm writing. Hanging out with the fam, video games for sure lol Oh yeah, and homework of course
    5
  12193. Absolutely love these little bits of wisdom. Keep them coming! 🎉
    5
  12194. I found your videos trying to find a proof from Halmos' set theory book. Then I stayed for the soothing messages of not giving up. And by watching your videos, it encourages me to read more math
    5
  12195. Loving these permutation videos.
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  12196. First
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  12197. Nah bro. I am
    5
  12198. An INFJ must hear this
    5
  12199. Real analysis is really interesting
    5
  12200. First one here 😊
    5
  12201. also it goes above 4 for weighted credits. unweighted GPA are on a 4.0 scale, but weighted GPAs are on a 5.0 scale and an A in an AP level class gets you a 5.0.
    5
  12202. The prof liked to put the weird self made questions on the test.
    5
  12203. You really hit a home run there!
    5
  12204. Great book and a great language, just finished doing a gui app that was made with C a few days ago. and I actually used a code snippet from this book!
    5
  12205. Good advice for a 13 yr old here learning calculus I'm still at calc 1 Few months ago I didn't know what a Trigonometric function is, now I'm playing around with derivatives
    5
  12206. As a brazillian I have to say that things are very hard here and there is no perspective of getting any better, unfortunately. I just majored in Physics, and when you do that in Brazil your only two options are: become a school teacher (ensino médio wich is the equivalent of the american high school) or go to graduate school and get a masters and a pHD and hope that comes an opportunity to get into a university as a professor. But the graduate schools here are usually full of professors who don't like to teach and try as hard as they can to desencourage the students, specially in physics and in the exact sciences area. Right now I'm doing an specialization in mathematics (wich is a graduate level course but not a masters or a pHD) and I'm studying programming languages and thinking about getting a computer science degree. Unfortunately I couldn't get a job as a physics teacher and I have no mental health to face graduate school in physics, my undergrad course really messed me up mentally and I think I.T is the best way to get a job that pays well without having a college degree or having one from a different area. My advice to David is to get into I.T and look for internships opportunities, it doesn't matter if he's 21 or 51 years old, just get into math or physics after having a stable career in another area, because, unfortunately they do not care about education and science in Brazil. Good Luck!
    5
  12207. I do not know about other engineering fields; but in electrical engineering, i represents electric current. This is why j is used in complex numbering.
    5
  12208. This is just practice for the department's Halloween party
    5
  12209. Success = Talent * Effort^Focus This applies to learning Math, Physics, etc., just as it applies to learning to play music, a sport or learning a foreign language.
    5
  12210. I had to solve a very similar DE for homework and this video was very helpful. Loved the good vibes with wich you teach. Thank you for uploading this content and greetings from Argentina!
    5
  12211. Sheldon Ross has a book called An Elementary Introduction to Mathematical Finance which was useful for learning about Geometric Brownian Motion and Black-Scholes.
    5
  12212. to answer the title: no im literally only just going to start secondary college, why am i here
    5
  12213. The "ask to fix "is so true, especially for engineering
    5
  12214. Last year, when I was in my 2nd year of bachelor of mathematics, I took a course in formal logic and model theory. The course was so damn difficult. The whole syllabus was a preparation for one BIG theorem: Gödel's first Incompleteness theorem. The material was so interesting but so difficult to grasp and have a good understanding of it. I studied it so hard and managed to see how everything was connected in that course. Made the exam and got an A. This is one of my biggest math accomplishment.
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  12215. A suggestion for the next video- a review on different calculators. There are so many variants of scientific calculators that I am confused. I am planning to buy one so I would highly appreciate if you could help. Thanks!!
    5
  12216. could you please do a video on fields?
    5
  12217. The tutorials on this channel are quite helpful and easy to understand. Could you make a video about water treatment math in the future?
    5
  12218. Please make a video on mutlivariable calculus (and vector calculus) books. I am going to take a normal (computational not theoretical or rigorous) course on multivariable calc and vector calc, and I want to study theoretical multivariable calc on my own using a book. I have searched a lot, but I couldn't find a lot of theoretical multivariable calc books. I would appreciate it if you can make a video about it or just comment. Thank you.
    5
  12219. You are the best Statistics teacher in the world. Sincerely "Thank You"
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  12220. Everyone can study whatever s/he wants. However, if you want to embark on a degree program in math at Standford, Harvard, MIT, Cambridge, Oxford, ETH Zurich, or any other top university and, incidentally, you want to keep up with the lectures' pace and have good grades, then you MUST have an IQ of at least 120. The lower the IQ the higher one struggles with learning. If you have 100 or 106 and you work like a horse 12 hours per day, you can still make a career but don't expect amazing outcomes.
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  12221. Why not skip classes when self study can be equally or even more rewarding?
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  12222. your videos are very inspiring. I am thinking of applying for a graduate math degree and I am 40 right now. It scares me sometimes when I compare myself with my friends who finished their PhDs in their mid thirties. I love math so much that I could do it all day. But I was always scared of either thinking I am not cut out for it or recently feeling too old. Thanks to inspiring people like you I finally managed the courage to take a break from job and start preparing for graduate school.
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  12223. I am in 10th grade and for a long time I have usually been much less stressed during math tests compared to tests in other subjects.
    5
  12224. I have both the 3rd (1960) and 4th (1968) editions of Thomas and they are my favorite calculus books. The 4th edition covers more vector calculus than the previous editions and it has more coverage of the epsilon-delta proofs of limits. I was wondering when you would review Thomas! 🙂
    5
  12225. Quiet a surprise for regular viewers to see stock vids from Math sorcerer 👍🏻
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  12226. I'm sorry, I'm actually drunk rn and cannot phrase well my sentences.
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  12227. Awesome!
    5
  12228. this is the motivation i need to accomplish anything!
    5
  12229. thank you so much
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  12230. thats wrong!!!!
    5
  12231. I'd love to learn Trigonometry
    5
  12232. I've commuted to college for three years... this describes my experience pretty accurately.
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  12233. One of these days, I'm going to feel cozy with the epsilon-delta proof...........
    5
  12234. this reminds me about extracting roots of an imaginary number is pretty similar.
    5
  12235. i love you
    5
  12236. I get mental blocks with math problems, mostly figuring out step one. Since I've been watching your videos everyday, I was able to get the correct answer before watching this video! I'm so happy. Thank you Professor. 😃
    5
  12237. Hi Math Sorcerer..I fin your videos very inspiring and motivating...I bought the book of proofs that you suggested, but I think it has lesser content than the one u showed in your video.. would really appreciate if u could guide how to tackle trigonometry. Thanks.. Sanvie
    5
  12238. Hi Math Wizard! Can you talk about the work of #GrigoriPerelman and what scientists and mathematicians has done to apply his work into daily life, or current ongoing sciences?
    5
  12239. I was wrecking my brain trying to figure this out and it was so simple, thank you Math Sorcerer!
    5
  12240. Great vid! I have that book on my shelf but used it only as a reference. In graduate school, I have used Complex Variables by Conway.
    5
  12241. I like these 'entry level' problems as I think they can be a stepping stone to solving more advanced problems.
    5
  12242. I am learning diffrential equation using this book ,,, It is in fact better than the online video lectures available on yt,,, enjoying a lott!!!
    5
  12243. I have always been a Hardy type thinker where the least applicable Math is the most enjoyable. I have had some crisis in my life and Math is the only pure drug, the only truth that is relieving. As Bertrand Russell says in his autobiography: “I did not, however, commit suicide, because I wished to know more of mathematics.” Btw I am not suicidal. (Before I start getting calls) I think people should try reading hardy’s “ A mathematicians Apology”
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  12244. Thank you math sorcerer! Do you think you will be doing any analysis questions in the near future? I would love to see that
    5
  12245. Thank you so much. I was really going to give up on maths..
    5
  12246. Sir can you please tell me which advance calculus textbook is there at your back in shelf?
    5
  12247.  @tmann986  I know. I'm a fan of the channel but what else could I say?
    5
  12248. Thanks, I was unsure what to do with the initial conditions in a similar exercise
    5
  12249. Good video, this is the reality!
    5
  12250. 10 reasons everyone should study math are the numbers 0-9
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  12251. much love
    5
  12252. Or a forced bath.eureka!
    5
  12253. Yes, it is indeed the best Calculus book, I got my copy at Amazon a bit more than 20 years ago.
    5
  12254. 1st
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  12255. The more difficult people make it out to be, the more excited it makes me.
    5
  12256. As a mathematician with nearly 40 years of research experience, I can say that it took me a long time to realise that calculus is failed mathematics.
    5
  12257. Thank You
    5
  12258. I swear math sorcerer! This is the second time you've made a video of a thing I had a question to.
    5
  12259. This is why I’m a physics major. I don’t understand proofs haha.
    5
  12260. Love your channel! You got a new subscriber
    5
  12261. I love these book reviews. And I hate them at the same time, because I keep buying them. shakes fist Thank you! LOL
    5
  12262. what a knowledge man
    5
  12263. Where does luck come from?
    5
  12264. Lol. Hes staring at us with passion
    5
  12265. 1977 that is probably one of the earliest textbooks on the subject. "computer science" was just emerging as a separate discipline from electrical engineering
    5
  12266. Here again, just for you ❤
    5
  12267. Books are important but it won't make you a calculus superstar; your effort and time will.
    5
  12268. I agree with your friend, there are other things that other math majors have to prioritize besides college particular being a math major in Third World Countries. We have to worry about our next meal besides our grades.
    5
  12269. Oh Heck! You're telling me they'll cover my ascension to the higher plane that is Grad school? They fund that? Really good to hear, ngl... this is gonna be a good decade
    5
  12270. Also made videos on Physics as we all know Physics is the KING of SCIENCE. 🙏🏻🙏🏻🙏🏻😀😀👍
    5
  12271. Thanks you very much i need this ❤❤
    5
  12272. Im gonna try to get one of his that are auctioned. I could really use the help! 😅
    5
  12273. Thank you for the math videos.
    5
  12274. Titles, PhDs👩‍🎓 to black belts🥋, are attempts to freeze one’s accomplishments in time. However, nothing in life remains the same for long. Change is the only constant. Approaching the limit is fleeting. You’re either improving or declining; remembering or forgetting. Never fall victim to the “Title” trap lest you wake up one day as a charlatan. “Belts are only good for holding up your pants.” - Bruce Lee
    5
  12275. I want to have like this.
    5
  12276. Thansk
    5
  12277. Can't thank you enough!
    5
  12278. Awesome explanation, this jogged my memory, thanks!
    5
  12279. Thank you for this video. One of the best early reasons to learn math is to separate opinion from logic and deduction. We all could learn to spend more time thinking over the merits of our arguments (math or otherwise) before expressing ideas out loud.
    5
  12280. Thank you will be ordering one!!!!
    5
  12281. I just accidentally typed mllmlnlnlnmm and this what iPhone showed
    5
  12282. Compared to engineering majors, unfortunately, the world doesn't reward much math or physics majors financially, despite them being serious subjects. My advice to someone who has math in is heart but doesn't find the jobs they offer particularly compelling (teaching etc.), to get into programming. AI/machine learning specifically because that involves serious calculus math compared to other programming, and it pays well if you're decent.
    5
  12283. Great trick, I thought of evaluating the sum as the geometric series though but this may be better
    5
  12284. Ayoooo blink if you need help 👀
    5
  12285. Thank you
    5
  12286. I would definitely never, ever recommend anyone to study for this long without any breaks or chance to sit and rekindle about the ideas that were learned. It is simply TOO long and burdensome on the brain, and you're likely to forget a lot of the material at the same time. From my personal experience, I usually do about 3-4 hours of math, with a break or 2 in between to contemplate on the ideas and reconfigure it my own words. Also, getting up and walking around after every few problems helps my brain think about what was just learned and form my own curiosities about it. I'm not sure why this is, but if I'm struggling with a tough problem or an equation that requires an obscure technique, I usually gain more ideas on how to solve it by walking away for a bit and then returning to it. But I would never intend to spend such an exorbitant amount of time on Math alone, it will only discourage you from doing it and be emotionally unbearable.
    5
  12287. At first I wondered if this was going to be where he got the 'Feynman' integration method from; but I think that was 'Advanced Calculus', by Woods, mentioned at 4:00.
    5
  12288. Aprender es el proceso. Aprender no es el resultado. El,proceso puede ser bueno y el resultado malo. También puede ser el,proceso malo y el resultado bueno. Pero normalmente el proceso y el resultado suelen ir a la par. Los libros de matemáticas suelen resultar intimidades pues se avanza poco si se pretende resolver todos los problemas antes de seguir adelante.
    5
  12289. Thanks, I was doing a homework problem where I had to square a fraction and I realized I had never been taught how to square a fraction, I assumed there could be a more complicated rule but I found this video. That's probably why they don't teach how to do it because you just square both of them.
    5
  12290. Especially when studying dihedral groups
    5
  12291. The quality of the video is amazing. And yes, this is a very classic book. I have a copy of it. It is just one of my favorites.
    5
  12292. Love the content🦾, greeting from Denmark
    5
  12293. Hey keep up the great work
    5
  12294. I am a graduated math major and I think that the hardest majors "math based" undergrad majors are Actuarial Science or Computational Finance (Financial Economics).
    5
  12295. thanks so much this was really helpful!!
    5
  12296. I never understood the reason of a book of problems without answers to those problems 😅
    5
  12297. Sir, What is it with you and abstract algebra?
    5
  12298. First please pin and i love your vids and channel
    5
  12299. I recall an interview with Balaji Srinivasan in which he said he started out looking for an excellent applied mathematics program and when he couldn't find one to his liking, he majored in electrical engineering. It was an indirect way of getting the math he wanted.
    5
  12300. My advisor forewarned me that real analysis was a "watershed course," but the epsilon-delta proofs seemed like the most natural thing to me. I finished the course with a 100 average, and then never looked back. All credit to the professor, whose lectures were a model of clarity.
    5
  12301. I was lucky - or unlucky - enough to hardly even notice the grad school - because I spent those years in an applied maths institute working on industrial projects. We had NO TIME for grad school, so the only requirements were to complete and defend the phd thesis. It was still "hard", but I never really had to study maths in order to pass some exams or something.
    5
  12302. I taught myself that I'll teach myself.
    5
  12303. Your videos are always on point. Love them.
    5
  12304. This was a nice video if you could post more combinatorics and probability tutorials that would be great!
    5
  12305. Can you go over errors in math?
    5
  12306. Don't response I watched your video how to read a math book; I had oscillations in how I can read math books, now I can read and I'm motivated to learn math. I did fall in love with math... :-) What I do is quantitive entrepreneurship, I'm a quant who does entrepreneurship. I want to pioneer a field called reality theory.
    5
  12307. 😂😂😂😂
    5
  12308. my way of reading: read a chapter, attempt the excercises, fail, postpone the reading another week, repeat untill the exam. :/
    5
  12309. Epic 🎉
    5
  12310. OMG, is this book a dictionary of physics? This is really thick and good
    5
  12311. Hello , I am 12 years and I am learning caculas and I thought that this book is amazing , an where I can find it? I want this book to use them in Schrödinger's equation and other quantum physics equations.
    5
  12312. I really like your colour theme :) Great work!
    5
  12313. How can you lose what you don’t have 😎
    5
  12314. This is very simple but incredibly necessary advice. Ive been putting off reading through books I have, if I use the 'just give it 1 hour' approach, I know I'll keep up the habit and then eventually do it for longer. Thanks mate! This advice is like being told to take deep breaths when stressed out, it's so simple but no one thinks to do it! youve earned a subscriber!
    5
  12315. Hey! I love your videos, this one included :), and I couldn't help but notice the change in the thumbnails, which I'm all for! Have you been using Midjourney AI to generate these images?
    5
  12316. Have been waiting for this, Thanks math wizard ❤️ 👌
    5
  12317. it is fine to go to college at any age, you cannot change the past all you can do is change the current. i suggest you focus on what you can do now, as that is all that matters.
    5
  12318. Great video, great advices. Many people need to see this video, including my past self. I wish I realized all this earlier, but I'm glad I'm not late either.
    5
  12319. "We end up with the space time continuum, ah, in other words the end of the world" 🤣😂☠
    5
  12320. I find it funny that I am a math tutor but I rely on your help lol. Thanks so much for these!
    5
  12321. U got baited like the rest of us.
    5
  12322. Math Sorcerer snorting that math book as if it was cocaine. He's high on math; can't live without his equation fix.
    5
  12323. thanks
    5
  12324. Thanks boss:)
    5
  12325. this is very detailed and well explained
    5
  12326. I have one of those books. Thanks for uploading consistently, it reminds me that I need to get some maths done before I knack off.
    5
  12327. You’re referring to shadowing, in the medical field.
    5
  12328. I really like this book! When I took differential equations as an undergrad, I really hated the class, but then I started taking graduate courses and decided to give them another shot. Coincidentally, my friend found this book in her parents' house around the same time I wanted to learn ODEs again and it really hit the spot (certainly far more than the book we used in my undergrad class)
    5
  12329. I finished my quantitative analysis/ college algebra class with an A. I worked hard for that! I'm glad to see it's possible to get less than that on a foundational course like algebra or pre-calc and then move on to A's in higher-level courses. Thanks for this vid!
    5
  12330. Amazing, clear explanation
    5
  12331. Great advice as usual. Here's a problem book recommendation: Iranian Mathematics Competitons by Mr. Bamdad R. Yahaghi. Just received my copy today, amazing book indeed. Highly recommended to all math problem solvers and those who want a taste of the modern Persian Math Cultures
    5
  12332. Tried this from an old video from you. I have finished more than half of the book rn, and 100% doing everything. TOTALLY recommend this book!
    5
  12333. Now can you do a review of the author's proof-writing book?
    5
  12334. Trig subs kinda sucks 🥲
    5
  12335. I think what's he's saying is that lots of people tend to rationalize their own problems or poor behavior by appealing to wrongs done to them in the past. But as a stoic, Marcus has an imperative to cultivate virtue within himself. And because things like evil, pain, or whatever are ever present, like he says, then it's really not an excuse to be vicious. I've kind of had that realization recently in my life. There have been people that have lived and died experiencing both good and bad; and those who never experienced goodness or happiness, but there's never been anyone who has gone through life without pain or evil. So why would you use that as some kind of structure for how you see yourself, or even to justify your own lack of moral development? It's the least special aspect of life. If all people are exposed to evil, but there are virtuous people, then evil can't be a hindrance for me doing good right now.
    5
  12336. Thanks a lot ❤❤❤❤❤❤❤
    5
  12337. If students want to do lot of courses and want to learn math in the first 1.5 years of phd going to mit is better option than princeton. It depends on many things. Undergraduate students from mit are too good. They are capable of finishing phd in less than five years. They learn things in a hard way in their undergraduate course.
    5
  12338. hey man, you have a lot of peace in doing all the steps patiently, i have to learn how to solve integrals more slowly. I skip the steps and usually my solution development is correct, but I often miss something silly because of the rush. Or maybe I just have to drink less coffee.
    5
  12339.  @TheMathSorcerer  as we say here in Brazil: "Rush is the enemy of perfection"
    5
  12340. Great video!! So excited to start following your podcast. I'm also German but I learn (self study in English) because its way easier for me. I'm able to understand the material much better in English at least I think the explanations are easier to understand in English. That being said, you have to be that the type of person for that. Many Germans have a hard time with English text books so think you shouldn't read English textbooks if you're not a native speaker and you have a hard time. Why make your life harder ? Math is already hard enough.
    5
  12341. Didn't know that Jeff Bezos was a Math teacher before losing his hair.
    5
  12342. Just emailed this to my supervisor.
    5
  12343. "I got 100" ... only to find out the exam was scored over 195.
    5
  12344. First!
    5
  12345. Thank you for sharing those thoughts. I think it goes to personality. I know math students who just grab answers. For some it's a matter of pride to fight endlessly on one problem until it's solved, before moving on. Not including answers keeps the bar for success high without question.
    5
  12346. Which calculus book would you say is better, the one by Spivak or the one by Leithold?
    5
  12347. Agreed ! Physical copy is a must
    5
  12348. Beautiful and solid books!
    5
  12349. Hello Sir. Hello World.
    5
  12350. Thank alot for every thing we love you ❤️👏👏👏
    5
  12351. Royden is the worst book to learn graduate level Analysis, try The schaum’s outline of Lebesgue measure and integration by Murray Speigel
    5
  12352. Thanks Math Sorcerer for recommending How to Prove it by Daniel Velleman... I'm self-studying math proofs, logic, and set theory using this book.... Doing it daily for an hour or two. Currently on chapter 4 on Relations. I carry that book with me everywhere, with a notebook for exercises. It's so much fun.
    5
  12353. Math sorcerer I’m in 9th grade and I’ve been watching your videos and am planning to buy some of your book review books with my birthday money. When I buy them I will study them over the summer to prepare for the AMC 10 and AIME to hopefully get into the USJAMO. I will be trying to study math for 4 hours a day using Feynman technique with a whiteboard to train myself. Do you have a good plan of study for someone like me? All aside thank you for making advice and book review videos you are my favorite YouTuber
    5
  12354. Total bonehead leech student in every class. In history, they want you to tell them who's buried in Grants tomb. In biology, they want to know how much of a coincidence it is that Lou Gerig got a disease with his name. In trigonometry, they think that Cosine means that another person gets to put his name on the homework. In anthropology,, when you tell them that we all descended from a common ancestor millions of years ago, they ask, " cool, but from which side of the family".
    5
  12355. it's because of so-called intrinsic motivation
    5
  12356. Don't forget to add that book to your playlist.
    5
  12357. I always told my students that homework was not mandatory. After that I'd tell them that everyone who skipped on the homework has so far failed the exam. Their choice.
    5
  12358. THANKS !!!!
    5
  12359. the thumbnail dragged me here like a magnet
    5
  12360. Algebra FTW!😁
    5
  12361. At 1:08 is unless not when :)
    5
  12362. This is so true😭 I am a math major and this is so painful to realize.
    5
  12363. i have this book. everything in physics is PDE . thanks for the review!
    5
  12364. Dang now that you mention it 2:21. After that Calc 2 mid term when I thought it was the end. I was taking gabatrol some hippie supplement my mom gave me for my mental breakdowns trying to do Calc. I remember the sensation afterwards of the pure bliss and serenity of that moment after "it doesn't matter" of course it mattered for my goals and trajectory, but there's no more needed mental torture at that point. You studied, showed up, attempted, did your best, that's all you can and could've done. Just gotta roll through the punches afterwards. In my case its 5 years of multiple minimum wage jobs because I thought I was a failure, when in reality I somehow got in associates in Math after failing Calc 3 and LADQ twice. Whether that's good or bad, its a story, its something. Don't be me though. Double minimum wage sucks absolute asshole, and just feels like a total waste of my life. However I don't think I would have the mental maturity and fortitude to tackle abstract classes, like I feel I am now.
    5
  12365. I was like where's the professor?!😳😊😅
    5
  12366. First time i see you live sir
    5
  12367. I'm graduated recently to be a math teacher in Brazil. Thanks for the amazing content! ✌️
    5
  12368. Cheers, thanks for the solid advice.
    5
  12369. Watching this during Math class. haha
    5
  12370. If you love math, go for it. I would suggest you a plan B. Masters in Econ or Finance.
    5
  12371. If you're the sorcerer, I'm the sorcerer's apprentice!
    5
  12372. Any good calc 1 2 and 3 books for college?
    5
  12373. Would you ever consider taking on the project of making a video of what you think are the foundations that people absolutely need to know when they start to move into precalculus and beyond(like actually beyond, like grad school and beyond)?
    5
  12374. this is so simple i love it
    5
  12375. Ok.. your copy is way different from mine. Mine has that Example 2 (which is on page 88 in yours) on page 102, but mine is third edition. 'Example 2. Let f(x, y) = x^ 2 + y^3 again, and let P = (-1, 3)....'
    5
  12376. That "good luck" at the end was needed. Thank you.
    5
  12377. Just with anything, focus can take you very far, faster than anything. give focus a chance.
    5
  12378. Another aspect to this is that good mathematicians will have such a strong urge to keep going when they get stuck and to persevere. I also want to say that your videos are really encouraging and I go to them when I need motivation to pick myself up when I fall down. Recently I started studying for the Putnam competition before my undergrad starts, which it was obvious to me that it would be difficult, but my studying resource, putnam and beyond, is such a beast. I couldn't solve the first problem of the first chapter, and it felt totally unintuitive and complicated, even for tasks that looked easy, such as this first problem, which I haven't given up on or looked fully at the solution yet, but I know that I'll get through it in time, and your vids have motivated me to keep on struggling with it.
    5
  12379. Hello Integral. Good luck on Putnam!
    5
  12380. Many math people get angry when somebody doesn't understand something that is obvious to them (because they are several levels above in terms of knowledge, not because it was always obvious to them). Then they act superior and often indirectly call you stupid, instead of explaining. I haven't met a mathematician that could explain math well, in terms of geometry or common life situations, which can definietly be done. My major is pure math btw, and I experienced this frequently at the beginning few years of my studies.
    5
  12381. wow finally you got to review this book and you remembered that someone commented about this book previously and i remember it was me who left that comment many months ago. You were reviewing another book for adv calculus at that time and i remember leaving you a suggestion about a book that i loved
    5
  12382. Interesting, but this is beyond me. Someday, I will be back here.
    5
  12383. That’s Thai!
    5
  12384.  @TheMathSorcerer  Can you do a video on learn linear algebra from start to finish? like the one you had for abstract algebra? It would really help me as I have linear algebra next semester
    5
  12385. And here I am trying to relearn elementary maths
    5
  12386. Another great vid as always
    5
  12387. My attraction to math... came early, when I had a devoted teacher who loved Euclidean geometry. This is, in my view the best introduction. Reading the 'Elements'. I only wish it more prevalent in early education, like it once was. Gets you thinking logically.
    5
  12388. Your chair feels sooo comfy.
    5
  12389. You omitted the best differential equations textbook: Boyce and DiPrima. When I took differential equations, the assigned textbook was actually that Zill book that you have. However, I just did not like it. It didn't explain concepts clearly and omitted a great deal of important information and details. A math professor better than the one teaching my class recommended Boyce and DiPrima to me. It was the book he used in his course. I bought it and read nearly the whole thing. I used it throughout the course I was taking. Instead of reading chapters in Zill, I read the chapters on those topics in Boyce and DiPrima. And, I read several chapters of B&D on some really interesting topics not mentioned in Zill. All of the assignments and exams in the course were easy. Overall, B&D had extremely clear explanations of everything and really kept me mentally engaged in the subject. I don't know why you overlooked this book, but it is exactly the book that I would recommend to anyone learning differential equations for the first time.
    5
  12390. I also love infinite series, Riemann Sums, if it has Σ then I'm happy😁 ...but Im not happy, therefore we NEVER got to anything with Σ! ■ (Modus Tollens!!) Not in Calc1, Calc2, or Calc3 😭 Never got to it.... its always last thing on syllabus!! 😢 And classes were $500/piece (lecture) then C19 made them online. 😫 Im 40yrs old... that was my hobby-class!! I could've learned at home & saved $1500 plus $200 book. (Not hardcover either-paper binder) 🤦🏻‍♂️ I could've bought a new bass.😣
    5
  12391. Why not Pre-med? Or Physicians Assistant,seems to be this persons forte? “The World is Yours” that’s from Scarface and I think it was Pan-Am old slogan.
    5
  12392. A simple but powerful concept. You might have just broken some people out of "The Matrix" of habit and everyone else's expectations!
    5
  12393. Really good advice, even more pertinent for proofs on research context, where checking stablished or avant-garde proofs and re-visit our own proofs could make a huge difference between an acepted article or a rejected one. My self has been the game changer to step forward into math research. Thanks again Math sourcerer ⭐️
    5
  12394. I wish I were a teenager again, so that I would have more years of life. If I were 16 again, I would study a lot harder and make few different career choices.
    5
  12395. Love your vedio from India
    5
  12396. I teach elementary school students, but I think this is a good way to teach them too. Students should take ownership of their learning. But, I feel like it's also a skill to ask for help. It's a kind of balance perhaps. Awesome video!
    5
  12397. Wow thanks Sir
    5
  12398. I got my final on Linear Algebra in a week, and its lovely to review these things with your voice reminding me even of the most basic definitions. Fundamentals are key
    5
  12399. 8:57 I like "Algebra" by Michael Artin.
    5
  12400. This is a classic I believe, thanks for the review.
    5
  12401. thats a collection of math books great tutorial its really good you give us general view on different math branches
    5
  12402. Just do it everyone!! Be easy on yourself, and keep on the battle wizards.
    5
  12403. You : "Time is something that we can't control" Me (Also a Phy Stud.) : " TIME is a STUBBORN ILLUSION 🤨"
    5
  12404. Simple and fun, this, innit? Thanks!
    5
  12405. I don't think the defeatist attitude of "I can't change society" is helping. You've got 815k subscribers and growing every day. You can change society, dude!
    5
  12406. Ya lo conseguí Hechicero, sexta edición 1956. Gracias por la recomendación! :hand-pink-waving:
    5
  12407. Rudin and Cartan books are written in a bourbaki's style. Those books are very hard to read. They are presented as textbooks although they are not written in a pedagogical way (if you can find a figure in Rudin's books let me know). Ahlfors book is different from the other three. His book is more pedagogical, the ideas introduced in it are well motivated and its exercise are well selected. Ahlfors book has kept its position along the time as a solid and pedagogical introduction to complex variable. Ahlfors got a Field medal and that makes a difference. He wrote his book thinking in the students. Rudin and Cartan wrote for mathematicians or very advanced math students (an 'elitist' group of people).
    5
  12408. Nice voice by the way thanks for explanation
    5
  12409. This was a really interesting video. I was always one of those kids that just "got" math concepts really easily, never had to study for it (how do you even study for math?). It wasn't until I took up an interest in programming and found I was a "natural" at that as well that I started to realize why I always did so well. For whatever reason, I've just always naturally "thought like a programmer", and solved problems in a very straightforward, logical, but also adaptable, way.
    5
  12410. I think late professor Spiegel was the king of Schaum's outline series. He authored 15 Schaum's outlines including Advanced Calculus, Fourier Analysis, Mathematical Handbook of Formulas and Tables etc. And I have found at least 8 Japanese translations. He was a great writer of undergraduate mathematics and physics.
    5
  12411. The video I’ve been waiting for!
    5
  12412. As a Russian I am very proud
    5
  12413. I definitely agree consistency is key. But another thing I realized the hard way is that it's better to say "I will study x hours a day" instead of "I will solve x problems a day" or "I will read x pages a day". Not all tasks are the same so you might end up studying 8 hours one day and 2 hour the next day which is super inefficient and stressful.
    5
  12414. The math socerer, your videos really motivate me to start taking ACTION and crush my goals💪 thank you man❤
    5
  12415. Thought I was the only one...
    5
  12416. It is thick indeed. But it pales next to the “Perry’s Chemical Engineering Handbook.
    5
  12417. I used one of Thomas and Finney's Calculus books in college for Calculus 3. I think it was 7th edition, but since that was nearly 30 years ago, my memory might not be accurate. :-)
    5
  12418. Yesterday?
    5
  12419. Thanks for putting this out there. I definitely wish I had this video when i was studying economics during university. I failed calculus 31B twice, and thats when I just kinda gave up on math because I never really had a purpose to learn math. My career has nothing to do with advanced math now, but now my mind has changed about math and I think things click a little bit more as I get older, if I could start over again, I think I couldve at least gotten a B or A- because you know you need the math to solve problems in economics, finance, computer science, and AI.
    5
  12420. You're so passionate about this stuff. You made something that was absolutely brain numbing to me, and you made it fun. Thank you!
    5
  12421. Please do a video on evaluating surface integrals
    5
  12422. There is NO AGE LIMIT to learning, hence the concept of LIFELONG LEARNING. Nobody stops learning. I started late but studied part-time and worked full-time. What's important though is to identify what you are interested in, then pursue THAT dream. God bless.
    5
  12423. I love your math book reviews. Can you review a book on Algebraic topology? Will appreciate it! :)
    5
  12424.  @TheMathSorcerer  You are welcome sir, and that's an honour for me.
    5
  12425. Bonus points if you can find a copy of Baby Rudin that some poor aspiring math major scribbled his suicide note into!
    5
  12426. His logarithms are sweaty, knees weak, TI-84 are heavy There’s vomit on his Unit Circle already, his trig functions he’s forgetting, He’s nervous, but on the surface integral he looks calm and ready To drop anti derivatives .
    5
  12427. Success = Effort * (Talent + Motivation) + "an arbitrary constant". I always lost points forgetting that last term.
    5
  12428. Ohh common ..I don't know with which friend you were arguing with ..I am doind my P.hd. on Ramanajan work ... I am very much sure that you and your friend know nothing , nither about Ramanujan nor about hardy ... Just look at the fact that Ramanujan died just at 32 while hardy live for 70 years still Ramanujan come with such formulae ( thousands of such ) most of them are still the hot topic among mathematics Since we are still trying to solve them and trying to get what the actual meaning of those ...Many mathematician believe that we could take years n years to get real meaning of those formulae..So you can't compare Ramanujan with anybody forget Hardy ... This is fact in the world of mathematics ....I request you to read some work of Ramanujan along with your friend ..then you both will be at the page ...Hardy help Ramanujan I many way like to give him opportunity to share the knowledge with world etc. But as far as level of excellence is concern ...no debate required at all
    5
  12429. 21 days
    5
  12430. Your channel continues to appear in my recommendations, and so far all of the videos shown were about books that I own, or studied with at University.
    5
  12431. All Hail the Math Sorcerer!!! You have saved me once again!!!!! Thank you so much!!!
    5
  12432. As a high school math teacher, I love your videos! Your enthusiasm for teaching and learning math is contageous! Random question: what doc cam do you use? I love the zoom.
    5
  12433. Thanks sorcerer, I really wanted to wash my teachers motorcycle this weekend. This video saved me at the last second. Subscribed
    5
  12434. Thanks so much. I have just learned about logarithms, thus, in my previous video, I saw someone briefly use the letter e at the bottom of the natural log, but I didn't know what it meant. Thanks for explaining that it meant exponentiating!
    5
  12435. Europeans learn calculus in high school 😁
    5
  12436. I'm sure your video will be inspiring so many people. I was thinking in a way, one doesn't really learn geometry, one explores geometry. There are so many fields that are just endless. But with a little work we can scrap together a lot of tools.
    5
  12437. Amazing detail. Also the book is pre-quark and pre the standard model. So perhaps the equivalent modern book would be a lot thicker.
    5
  12438. Math lumber jack
    5
  12439. Many Biology majors and Biologists do not like Math,but when I started doing it, I fell in love with it and I practice Math almost everyday. Math is useful even in Biology and Arts, and in unexpected ways. If people realise that they will love it more.
    5
  12440. Me too :) Even if I have a degree in Mathematics! 0_0
    5
  12441. I love when you clean the board with your Hand 😂😂
    5
  12442. How does this hold up compared to Artin?
    5
  12443. I am considering taking a break from math. I have wanted to be a scientist for such a long time but I have all but failed college due to personal struggles. Loss of friends,. Drugs, financial concerns, I want to get back to it soon however
    5
  12444. First again😂
    5
  12445. In brazil, the variety of books in portuguese is so smaller and they are so harder, then we use books in english and american books is, in generally, more didatic and easier than european books.
    5
  12446. ✋🏻here!
    5
  12447. Thanks a lot sir,, Big love from Indonesia🇲🇨
    5
  12448. No issues learning....it's remembering what you've learned the hard part
    5
  12449. Wow, thank you, I really needed this
    5
  12450. I am a statistician and I suffer a lot in my job. I didn't take all calculus series and linear algebra. I know I shouldn't be doing this job but I am having extreme imposeter syndrome whenever I need to explain stats concepts to researchers. I know the applications and programming. I bought calculus 1 online course but I'm very intimidated by math
    5
  12451. that's an awesome book to have in your library!
    5
  12452. Just felt like reviewing Riemann sums 😊 I don’t want that skill to go away!
    5
  12453. This book by Emil Artin is psychedelic. I would buy because of the cover. Cool collection
    5
  12454. Bought it some years ago... It's really great. Easy to read and follow, and still very precise. Love it.
    5
  12455. tl;dw - "Don't"
    5
  12456. ❤️
    5
  12457. I am a junior in high school enrolled in a program at university to take math classes there. you have inspired me to develop a love for math outside of the required work and I can’t wait to see your future content.
    5
  12458. this is the best video I have come across so far it helped me with my hw keep up the great videos
    5
  12459. Thanks
    5
  12460. correct way
    5
  12461. That was great, thanks!
    5
  12462. Logic is it's own area of enquiry, separate and prior to mathematics even... Discrete logic can be reduced to number theory, in the same way electric switches can be represented by 0 and 1
    5
  12463. Thanks for answering my comment/email! I'm on day 209 of math every day 😅
    5
  12464. Its a request to please post more such videos as some people are stuck in a loop or a rut and these videos are really a kind of breather and it forces one to rethink about their lives..
    5
  12465. could you make a video that gives the conditions under which we can switch integral and infinite summation
    5
  12466. Well, I understand that to teach is to learn twice. However, if an individual can afford to pay for their tuition, room and board, wouldn't it be more advantageous to just concentrate on their classes? At least for the first year of graduate studies?
    5
  12467. In my opinion, every subject can be hard if you want to be an expert of it. Even you're smart, you will run into obstacles. It's just a matter of time, soon or later. So besides choosing what you love, it's more important to love what you chose and be persistent
    5
  12468.  @TheMathSorcerer  noo it was my second test of the course, got many more to go but Im still sad haha. Its only gonna get harder from here ;-;
    5
  12469. sir you look like an angel❤
    5
  12470. Make sure you can do all of the assigned homework and the examples in the text. Do similar unassigned problems. Ask the instructor for a practice exam, if they do those. Doing all of them may be a waste of time if you have other pressing commitments.
    5
  12471. Hello Myself , a Physics enthusiast who loves math as well I have studied Very Basic Calculus ( how to differentiate and integrate) Algebra Trigonometry Geometry All this at a basic level And i want to learn further math used in physics pls suggest me a good book which can teach me a good amount of mathematics and give me a deeper understanding in mathematics and also if possible review the book in your upcoming videos
    5
  12472. Based💪🏼 love ur content!
    5
  12473. Really to help full thanks for your explanation
    5
  12474. The Wisdom of the Ancients
    5
  12475. When doing math, sometimes you have to be abusive :)
    5
  12476. YeS! Please 🤗 I always scope out the bookshelves in the background wishing everyone would share their collections!!
    5
  12477. I'm too stubborn. I would spend so much- TOO MUCH time on a problem. Its so hard for me to stop or move on, and i end up burning myself out. In relation i have a habit of over analyzing things! Thx. I'm laughing at myself now.
    5
  12478. This was very helpful, thank you.
    5
  12479. nicely explained
    5
  12480. Prof. Krantz writes very well. This is a must have for math majors, phd's and postdocs!
    5
  12481. Thank you thank you- wish you were my teacher! :)
    5
  12482. It's a good supplement after you've taken Calculus. This textbook is used in some college prep schools but the teacher is a Calc wiz. If you're a math major, you'll have more than just this book on your shelf. I was a math major and bought older calc books from the 1950s and 60s, 70s, and 80s. Some topics in those books have valuable information not found in calc textbooks today, that give a deeper insight and heuristically teach concepts through discovery. Multivariable Calculus is a disaster. No book has that topic organized thoroughly. Anyway, there are a list of books I highly recommend as essential for math majors. These were also recommended by all the math profs in my math department. The Spivak was among them, but only select chapters were highlighted as necessary, such as Series.
    5
  12483. Woah, a calculus exam from 1981... I Wasn't even close to being born haha... Thanks for sharing man! 🙏🥰
    5
  12484. Good to know. I'll never study again and become a genius because of clickbait selfhelp videos on youtube. A tight strategy that can't fail!
    5
  12485. You started a podcast! This is so cool!
    5
  12486. They always used advanced words in those books. Like words I’ve never heard of just to replace the word “work” or something. And then I just lose focus
    5
  12487. Thank you for the advice❤
    5
  12488. Thanks for review. You you have a possibility I recommend you to watch a book Calculus for Scientists and Engineers by Martin Brokate, Pammy Manchanda and Abul Hasan Siddiqi.
    5
  12489. I’ve been watching your videos and your short explanations create a really good discussion here in the comment section which is pretty nice to read people’s opinion on math. Also, your vids motivate me to keep going and finish my math degree. I hope that I can finish and go to a grad school :)
    5
  12490. I just finished taking Adv. Calc at Rutgers for the 2nd semester in a row and Ohhh boy, This class is a doozy. The easiest was right out the gate, Laplace transforms. Simple and straight forward. Then, a deep deep dive into Matrix calculus, far more advanced than the linear algebra class I took (surprisingly) considering linear algebra wasnt a pre-rep for this class. Then, again another straight forward topic Fourier series! Then, Heat, Wave and Laplace equations... Our professor put a 2 spatial 1 time dimension heat equation problem on the final, yea we all just skipped that one. Then, Polar and cylindrical coordinates for those 3 equations... and lastly, Fourier Integrals and Fourier Transforms. Safe to say, least favorite class in my entire degree of engineering.
    5
  12491. Try to get books in your native language and in English. Partner-up with STEM students in both languages, too. I think Math and languages are ultimately social activities, at least at the highest level. We write proofs for the purpose of communicating with others. We use language for the same thing, and that experience is like nothing else!
    5
  12492. Nice keep up the good work!
    5
  12493. Lisp is awesome honestly!
    5
  12494. Bruh
    5
  12495. I stood up and gave you a standing ovation !
    5
  12496. Congratulations my dear favourite mathematics sir. Love you ❤️
    5
  12497. This sounds like a lot of my old maths lecturers/professord in the UK...
    5
  12498. Mallasi K Lol, I thought ages ago that he looked like Gene Wilder. Now, he looks almost like that guy who goes by the channel name "Bald and Bankrupt."
    5
  12499. The Math Sorcerer Seriously, I once thought that you could be (distantly) related to Gene Wilder.
    5
  12500. THANKS, life changing. My prof could never explain it this well!
    5
  12501. Thank you so much for this video!
    5
  12502. Bruh "major in something that you're good at." I'm about to finish undergrad in math, but I'm not really good at it 😅. I'm also a cheap math major (switched late so didn't take very diverse topics)
    5
  12503. Wizard, what’s your thought? Linear Algebra before Cal 3 or After?
    5
  12504. Sometimes I have a real difficult problem. Relax and keep thinking about it. Dreaming it and one day I got the solution when I wake up. God tells!
    5
  12505. This book has similarities with Topics in Algebra by Herstein. Also from 1960s.
    5
  12506. Looking good man and beautiful background let's go
    5
  12507. Had to look up owner. This could be him. Guessing he'd be in his 90's. No obit. found. Got his Phd from MIT in 64. Career in microwave devices. Treasurer of MIT Club of Long Island in 2015-16.
    5
  12508. I want to master differential and integral calculus, what is the way to do that?
    5
  12509. I love this channel. I'm currently a sophomore at johns hopkins University and I took my first calc course in freshman year. I did not do well. However, I recently took calc 3 and wound up with an A- because I changed up my study habits. I was inspired by your channel, and now I'm studying math and reading the real analysis book by Terence tao you recommended. Your humility is very unique. Thank you so much for understanding how to make overcoming math challenges digestible for your viewers.
    5
  12510. lmao ur better off learning from youtube, seriously.
    5
  12511. I remember when I was a teenager and I saw, for the first time, the konigsberg bridge problem, that one Euler solved. The problem was so simple but for me it was Impossible to solve. A time after that, reading a math magazine, i found the solution. The solution was far from Impossible and I realize that I needed criativity and repertory, cause I didn't have enouth. There are a popular saying: "For who only know to use a hamer every problem is a nail."
    5
  12512. Nice addition to variety. I recommend 1 Stories of Maxima and Minima by Tikhomirov 2 Calculus of Friendship by Steven Strogaz
    5
  12513. Thank you for posting this, I’m really struggling in my partial differential equations class right now
    5
  12514. Great collection! Would love to expand my library too.
    5
  12515. Title typo. But good video
    5
  12516. Hello. I love your videos! and as a math major, I find your videos really motivating especially when I get stuck with a math problem, or if there are proofs that I cannot seemed to wrap my head around. but I think that's what makes math fun and beautiful; you learn it by doing it. by the way, I'm also a fellow math major (pure math) here in the Philippines. pls continue making more math videos.
    5
  12517. I have to try this. Thanks!
    5
  12518. I've been walking the streets at night, just trying to get it right.
    5
  12519. This was my undergraduate Complex Variables book (4th edition, I believe). A classic, yes, but a little terse and lacking in exercises in places, in my opinion. I agree that it is a good reference.
    5
  12520. Precisely dude! I used the other version of this book: Elements of Real Analysis due to sheer boredom caused by My Advanced Calc Instructor throwing off at us bunch of textbooks only to keep us busy.. Textbooks ranging from Schaums Adv Calc to Loomis-Sternberg notorious Adv Calc Really bad pedagogy which is why I hope you can instill some wisdoms & thoughtfulness, into the psyche of nowadays Maths Instructors
    5
  12521. I have a copy of this book.
    5
  12522. Hello Jeff, I am in the opposite case of yours. I am young (28), I have not finished even my Bachellor (my proffesors suspend me 5 consecutive years the same grade) and I am not a prodigy in no case. BUT, I am still learning mathematics everyday since years ago... My advice to you, if it is legit that a younger person gives an advice to a older person, is that you should run away from institutions, we are on 2022, not in 1980 and definetly not in the begining of XX century, nowadays for a very curious and applicated person (like me) the most powerful tools are Internet and time not universities. For example, I have read 2 different dictionary of mathematics from "a" to "z", one in Spanish (Akal's one) and the other in English (Oxford's one). I have spend a lot of hours in webs like arXiv, Academia or PNAS... (you should choose your level of implication sometimes it will be necesary to pay for the full use of this respositories). If you do not like to read papers "hardmode" or you can not read a full dictionary or encyclopaedia try to read History, it will connect the concepts with the people who did it, I recommed you "Mathematical Thought from Ancient to Modern Times" by Morris Kline or "History of Mathematics" by Boyer (I am at the moment with the second). And if you are interested in mathematics just DO mathematics, write your ideas manually and then rewrite it in the computer, and when you think that you had a good idea show it modestly. If you are interested in Algebra sreach my paper "On Tetration Theory". Good Luck. Juan.
    5
  12523. Definitely going to buy one or two on my payday. I love your content but I think books are how I learn best personally.
    5
  12524. I have tons of pdf maths/statistics books that I've downloaded from the web for free.
    5
  12525. I'm second year student of C.S, currently reading the first volume, the toughest book that I've read. Sorry if i make mistakes, I'm not native English speaker.
    5
  12526. Your the MATH GOAT
    5
  12527. Now i can finally say iam a math geek!!
    5
  12528.  @TheMathSorcerer  I have noticed, when combing used book stores for interesting math books, that they usually take one of two approaches. First approach is, "Wow, complicated math book -- $50". Second is, "Wow, complicated math book (ie junk) -- 50 cents". So, either the price is unrealistically high, or a giveaway.
    5
  12529. oh THANK YOU! THis is exactly what I needed to have explained to me. (I'm sure glad it happened to show up in my search results right when this is exactly what I searched for)
    5
  12530. Sorry, but I do not really agree with what you've said. Math is merely a way for us to understand some aspects of the world through logics. The world is a lot more than logic, and I am saying this out of experience. In fact, the world is probably least about logics and intellect. The reason why you and many other people think that math is eternal, is because you are truly in love with math. If a person is in love with anything, it would be eternal. If I am in love with my material art (Kalaripayatt) and yoga, which is why I believe that Yoga and Kalari are eternal.
    5
  12531. Why can't I find it? Does anyone have the ISBN? And I mean this exact book in the video.
    5
  12532.  @Math.secrets  Funny... the description didn't load before. Thanks.
    5
  12533. Wizard, something strange has happened. I’ve been studying math pretty much everyday for 6-7 hours a day. Anyways, I bought kalimba for my son. I kinda started playing it. I’ve never played a musical instrument in my life but I’m learning piano. It weird because I tried to play before. I’ve really become impressed with it.
    5
  12534. Hold on how is he writing backwards? Am I just dumb?
    5
  12535. Thanks for making this loooooooooooooooooong lesson comprehensive and understandable. Truly your illustrated steps in each of these three forms of substitution made them solvable. God bless you!
    5
  12536. Thank you
    5
  12537. Thanks again! Wow - needed two of your proofs in one day, what are the odds?!
    5
  12538. Omg I got confused by the cover until I remembered I already have that book in my math arsenal (with the new cover of course) :P
    5
  12539. It was honest man 💪🏼📚!!
    5
  12540. Can you add some computer science courses as options? Those might help with the career side of things.
    5
  12541. Few months ago, I was struggling with abstract algebra, all those mathematical symbols to confuse me. Thankfully, I found helpful tutorials in YouTube. Thank goodness for YouTube and internet.
    5
  12542. I love these types of videos! Just a nice reminder to focus on the now. As someone who plans to attend grad school in math, I'm constantly finding myself worrying about the future and sometimes I forget that I still have three years of undergrad to focus on first. You really can't change the past or the future, but the one thing that you can change is how you choose to live right now!
    5
  12543. your hair reminds me of Jacob Bernoilli and Johann Bernoulli😀
    5
  12544. Yes, another MS vid!!!
    5
  12545. Forget the math now….we want to know the gym routine. 💪
    5
  12546. Muy buen video, me resolviste mi duda sobre ese tipo de transformadas de lapplace. Good video friend.
    5
  12547. Its been 7 years since you uploaded, no way you are going to reply but worth a shot. how did you get eps/2+eps/2 from |a-an|+|an-b|? really hope you see this
    5
  12548. Would you recommend me this book even though im already in a proof class for linear algebra?
    5
  12549. I use erasable pens. I get the best of both worlds.
    5
  12550. Lol my dad used that book back in the 80's and I used it in 2018 haha, im pretty sure there's at least one of those books in every latino household.
    5
  12551. Btw i loveee the background and as a first year math major i apreciate this type of video :)
    5
  12552. Why did yt recommend me this at 5am???
    5
  12553. "Pressure" ~ Queen & David Bowie
    5
  12554. Esto fue algo nuevo, me sentí relajado Maestro.
    5
  12555. There are two types of students, one who marks in the book and one who doesn't; who are you??
    5
  12556. Math Sorcerer is becoming the Jack LaLanne of mathematical encouragement.
    5
  12557. Dope vid exactly what I needed short and sweet!!
    5
  12558. Thanks for the solution, it is very helpful
    5
  12559. Future E.E. student (senior in high school). Good video! - We use "j" for complex numbers because lowercase "i" is used to describe total current.
    5
  12560. Sadly most people would consider a happy mathematician’s life to be pretty boring
    5
  12561. Nice video! That film inspired me to take up math again! Great stuff
    5
  12562. how would you compare woods to other popular treatments like that of apostol, rudin etc?
    5
  12563. We can also solve it by l hospital rule but your Method is easier :)
    5
  12564. Thanks to you now I love maths! How cool can that be?
    5
  12565. This was really helpful!
    5
  12566. For me it was DEFINITELY algebraic geometry. Trying to wrap my head around schemes as an undergraduate was brutal
    5
  12567. Damn, thank you so much ❤️
    5
  12568. Whenever Taylor series comes to my mind it makes me think about Taylor Swift. Let's pray for the person who sent the email to the math sorcerer.
    5
  12569. “Reserved for future use.” is equivalent to “This page intentionally left blank.” It is to tell the reader that the page is deliberately blank and not a printing error.
    5
  12570. this book seems to be free to download just by searching the title and author on google. not advocating piracy, just stating a fact
    5
  12571. I would love a video on what passes as good graduate advice / math advice but actually isn't.
    5
  12572. I used the Third edition in both high school and college back in the 90s. I started teaching about ten years ago and it doesn't matter what book I use, I still teach it his way.
    5
  12573. That Calc 2 Final Exam in my college was online and timed ! It was a mess for me ! The camera randomly stopped recording and I had to contact my professor while the clock was ticking . I missed two big questions which means I failed it pretty badly but somehow I still passed with a C !
    5
  12574. Learning to do math proofs is like learnung swimming or treading water using the egg beater fashion.
    5
  12575. Thank you so much, really, my math scores did so severely drop as a resultant of not being able to cope with online classes. So did others, but thank you, that brief moment of happiness when I laugh at a joke in your videos is something I really appreciate.
    5
  12576. How can we ever thank you for these amazing videos! Thanks a lot for your generous work! Great vid!!!!!!!!!!!!!!!!!!!!
    5
  12577. I'd tried a little years ago (pre- YouTube) to make sense of topology texts on my own, but this is the first time I've understood even these basic concepts. Very accessible teaching style- thanks!
    5
  12578. I have two students who are from a certain Asian country. They were trained in the classes from day one to work fast. Averaging a minute or less per question with minimal work shown on paper. Drove me nuts. I finally gave up and stopped asking them to work slower. You win. :)
    5
  12579. No lie so I’ll come to your channel to get motivation to keep going on my YouTube journey
    5
  12580. You should talk to a librarian about preserving or lengthening the life span of the pages. Even UV and plain light is dangerous to that bleached paper.
    5
  12581. yeez you're the only one doing useful math on youtube for grad students
    5
  12582. Not giving up is the hardest part. The skill I spend years training for is now done better and faster "thanks" to AI. I still don't know what to do, I only know that I truly lose if I give up but if I don't give up I could be running straight into a cliff..
    5
  12583. 6- Math takes time. So much time, you have to give up part of your life to learn it.
    5
  12584. Yes try your best with getting good grades guys, i m doing myy senior year of BS in Math, and i messed up really bad. My gaming addiction took over my life, I have 2.9 and I regret wasting so much time on things that doesnt matter in long run. I really hope I get into some master program and do better and maybe even go for phd. (side note: What hurts more is that I was a 4.3 gpa student in my highschool and have never struggled with school before and now i m below avg due to my stupid decisions)
    5
  12585. I'm going to be taking Calculus 1 & 2 this school year. Is there anything that you think I should look out for that might be particularly difficult?
    5
  12586. There are some fantastic books by Soviets but they are in Russian. For example, the best Analysis book IMHO is the one by Mikhail Fihtengolc (Фихтенголц) (A course in differential and integral calculus) in three books covering Real analysis of one and of n variables. Real gems are three books on now forgotten Analytical geometry by Aleksandrov, another one by Postnikov and the third by Mushelishvili great as reference books (as well as an old one by Casey - Treatise on analytical geometry though he is not Soviet, of course). The best problem book on analysis is in several books by Lasko (Лашко) et al. (Справоцхное пособие...).
    5
  12587. Do all of these equations come naturally (ie in physics) or are they just abstracted for the purpose of a mathematical exercise? Eg the Fresnel integrals are used in optics But I can’t find a physical situation this particular integral might come up. Is this true?
    5
  12588. What the sequence of learning mathematics.
    5
  12589. Everything you say makes it clear on learning the subject math,all I can say is thank you for your time,dedication,and heart in the promotion of teaching this beautiful language-math.Your Students are blessed to have you as their teacher,keep up your great work!
    5
  12590. You look like the grand wizard of math. 🧙‍♀️🧙‍♂️ I aspire to have such great powers ⚡🔥❄
    5
  12591. Classic of dif equations
    5
  12592. I received my copy only yesterday. It looks good. I'm anxious to work through it.
    5
  12593. I can't believe Larry's wife made a blueberry pie for Karen. It really shows that Larry's wife tries her best to make the best blueberry pie for everyone- even the Karen's of this world 😂🤣😂
    5
  12594. I have the 3 books. That books are the nightmare of many people of Latin America.
    5
  12595. 0:22 There's something wrong with you!
    5
  12596. Probably the diagrams would have been hand-drawn with ruling pens. I was taught how to do it in my graphic design schooling in 1999, might have been one of the last classes in that program to still learn how to do that since computers were just about to take over and the skill of using a ruling pen was largely useless by then. Makes very clear and clean lines with precise width that doesn't vary. Combine with stencils, rulers and compass and you can draw any complex design you like. Using a ruling pen was incredibly difficult and required a very steady hand and rigid attention to detail and process.
    5
  12597. Another great vid
    5
  12598. Listening to this makes me really excited to keep earning. Back when in high school I used to love math and really understood only because my teacher would walk us through how mathematical theories came to be alongside solving and interpreting, it helped a lot. But in the first two years of uni, I kind of got lost with calculus and knew what would help to continue understanding but had no idea what books could help me through it and didn't really think of looking it up for myself because of growing up with technology and being told everything. Currently finishing third year of uni and I really want to get back into understanding calculus and statistics but this time on my own
    5
  12599. So your saying if I get an A in calc I and II, I'll get a girlfriend? :o
    5
  12600. thank you so much teacher. I was really stuck but you made it so simple. Also what about the range? is it all real numbers always?
    5
  12601. Theory of Spinors! I had the dover reprint 20 some odd years ago. If I remember correctly, Hermann Weyl wrote the original monograph that Cartan published? In quantum field theory, the three (relativistic, 4-d) representations of Spinors are 1) Dirac 2) Majorana 3) Weyl. Because neutrinos have been experimentally verified to have a tiny mass, along the propagation direction, the Weyl (massless) model no long fits. Sorry for this digression, but seeing that book got me stoked. Thanks Wizard!
    5
  12602. I think the moral of this video is that patience is a virtue when it comes to learning math :)
    5
  12603. I love your videos hahaha, thank you very much for your effort. Do you think that... I have a question, if someone has a lot of free time like literally the whole day... Could that person in particular... Learn calculus 1 and 2 in 1 or 2 months? of course, with maximum effort. I'm a fan from Argentina btw.
    5
  12604. You are a God
    5
  12605. Wow, thank you. I studied CS when I was young and never really used it in my "city". I'm older now and working at a local high school has re-ignited my childhood love for maths. I am going back to university to study teaching, and maths/physics next year. I'm excited and terrified. I was only slightly above average at maths in HS and my CS degree did not have many maths units. In preparation I have spent the last year gap filling. It has helped, I hope it is enough. :)
    5
  12606. Dear sir can do videos on some tricky or challenging questions on integrals
    5
  12607. Thank you so much! I missed a day of school and was stressed about doing this topic so this was a lot of help❤
    5
  12608. Awesome content. Would love to see more!
    5
  12609. You do not need to make any sort of Financial Advice Disclaimer on this video since this is Not a video about Financial Advice. You are simply pointing out that if anyone wants to go on and trade they should know the basics and therefore those are some books on Trading. Nothing of that constitutes Financial Advice. Financial Advice is when anyone says buy or sell a certain security, commodity, index, or any other "Financial tradable Tool" Listed on a Stock Exchange or any other Legal Broker.
    5
  12610. Thank you for this video. I'm having a bad day and this is much needed now.
    5
  12611. Thanks 😎😎
    5
  12612. Obsession has a negative connotation, mainly because it deals with hostile action from demons against us humans - or a psychological disorder of sorts. Proof Index commented as follows: I prefer to say I'm nourished by mathematics. I agree, one is nourished by Mathematics. Hence I carry with me during the day cards with mathematical definitions written on them, I read these definitions several times during the day, so I understand.
    5
  12613. You really look like Jeff Bezos!
    5
  12614. To me the 2 volumes of Analysis books from Vladimir Zorich (english translation of a russian edition) are the best Analysis books on the market. I used them as second textbooks during my studies and they helped me a lot. You should check them out 😉
    5
  12615. Well done sir u r a good teacher, I never understand it from our school teacher but u teach it well, keep it up
    5
  12616. 🤔 which one do you prefer, reading math from books or PDFs ?
    5
  12617. books, books, books
    5
  12618. The main thing we should have interest on learning it doesn't matter what age we are and where we are.
    5
  12619. So true! Kinda like The Matrix, but sometimes harder to escape.
    5
  12620. What courses do you teach?
    5
  12621. Books that won't get you through any course but will inspire you for a lifetime. Mathematics for the million, L. Hogben. Calculus an intuitive and physical approach, M. Kline. Understand the derivative? Feynman's lectures on physics Ch.8. Need help with calculus? The calculus tutoring book, Robert B. Ash. Understand vector calculus? First chapter of: Introduction to Electrodynamics by David J. Griffiths.
    5
  12622. thicker than a bowl of oatmeal
    5
  12623. Pls man what pencils do u use? What pencil sharpener? Etc
    5
  12624. great explanation thanks!!
    5
  12625. Michael Faraday, James Maxwell, Georg Cantor & Ludwig Boltzman.
    5
  12626. As a little shortcut, the function that you're integrating is continuous from -a to a (both endpoints included), you're limits of integration are the same number, but opposite signs (i.e., from -a to a), and the function that you're integrating is an even function (i.e., f(x)=f(-x)). So, to make the numbers in this integral easier (and by symmetry), we can integrate this function from 0 to a, and then double it (i.e., multiply the result by 2).
    5
  12627. This step by step effort can be applied to anything. You can change out step 1 with "Recovering from Trauma" and follow the rest of the steps, and it still applies. It's thoroughly logical.
    5
  12628. Gauss: i'm i a joke to you?
    5
  12629. Hello Math Socerer! I love your videos, and they have helped me a lot to go deeper in mathematics. I would like you to review the book "Mathematical Methods for Physicists: A Comprehensive Guide" by Arkfen, Weber and Harris. I used it in my physics studies but I don't know if there is a better or clearer book to relearn the concepts. I send you a big hug and best wishes!
    5
  12630.  @TheMathSorcerer  I personally want to thank you, im on the math path as a hobbyist; out of love for it not to sap but yeah i couldnt do math as a kid, fell behind with pitfalls in my understanding & was denied to pursue it - it was necessary for my dreams so i floated in finding alternatives but those alternative paths were not me l loved the creativity and peace of knowing systems of thought but hated my punishing carelessness Now, I have sought help and found out about my adhd, I studied how i learn and now its different Im going to get to linear algebra! With the strongest of foundations to pursue my dreams thank you Sir Sorcerer
    5
  12631. Grab some precalc books, go to the algebra section and look for the word problems or modeling with ecuations. Stay focus, read well the sentences and understand how those problems work, imagine another similar problem but solved, do some reverse engineering and find out how does it works. Is not easy, but the more problems you solve, the better you'll become. :)
    5
  12632. You should make a Video on How to think on MATHS QUESTIONS that would be helpful🤗
    5
  12633. I'm in algebra 2 and wow I'm scared for the future
    5
  12634. You will save my DE exam... T^T Thank you :')
    5
  12635. good video
    5
  12636. Excellent video! But dear god invest in a real eraser.
    5
  12637. In the recent years, I have gotten insatiably interested in maths. Previously, I abandoned maths as soon as left school. I chose art instead of engineering. Now, I want to mix both and so I resumed my interest in maths.
    5
  12638. "Jusht press the BUTTON and give me the answers" XD My prof is NEVER late.
    5
  12639. My little mathematical accomplishment is that i have got 10 copies which i named book of proofs which contain different proofs of various theoroms i started making them since i was 15 and now(i am 17) it contains many beautiful and interseting proofs from different areas of mathematics like calculus ,number theory,geometary etc.Most of proofs i learned from different sources on internet and i noted them down on these copies and some of them are my own.
    5
  12640. I'm currently reading elementary algebra by Sullivan it is a spectacular book for amateurs like me.
    5
  12641. I start my first calculus class tomorrow and I’m super nervous, because I am not the best at math/
    5
  12642. Make a video on notes, pls!!! I ahve TONS OF FUCKING trouble taking notes in class and online, etc They dont help me I get stressed Pls i need u ;-;
    5
  12643. That book looks great!!!
    5
  12644. Sussy
    5
  12645. ⭐⭐⭐⭐⭐.... Next video should be about definite integrals....
    5
  12646. Online resources like Desmos, Autograph and GeoGebra are way better and are free to download to an iPhone, however, you can’t take these in to an exam so you will need a graphical calculator if you are taking A level type exams.
    5
  12647. THANK YOU SO MUCH! Your explanation is SO SIMPLE! I loved it. Couldn't have asked for a better explanation. <3
    5
  12648. Modern algebra is my weakest maths branch; this made a lot of sense. Thanks for the video!
    5
  12649. This brings to mind the concept of growth mindset as opposed to fixed mindset. It has been proved (via randomized controlled trials over large enough groups) that if you make kids believe that they CAN change their mind and learn ANY math concept masterfully, they score significantly better than kids who believe the opposite to be true. Talent, IQ, natural abilities might be a real thing, but they are definitely overrated. If you want to learn more google "Growth Mindset Carol Dweck" or pick up the old classic "Talent is overrated" by Geoff Colvin. There's also a very accessible playlist named "Growth Mindset" on the Khan Academy website. It could be the start of an inspiring and fascinating journey.
    5
  12650. Definitely had to do this recently with Real Analysis. Hoping third attempt is the charm 😅
    5
  12651. I don't know if you have read much philosophy of mathematics but I think you would find Penelope Maddy's "Realism in Mathematics "(Clarendon Press, Oxford) and Stewart Shapiro's "Philosophy of Mathematics: Structure and Ontology" (OUP) profitable. Both are " Realists" (Maddy subscribes to a stronger form of Platonic Realism). Both argue against Constructivism, Formalism and Nominalism. Maybe you can make a video on the notion that mathematical truths are not only eternal but also independent of the human mind and the language used to express them. I think mathematics is the only subject that can truly claim to be independent of not only the material universe but also of the human mind and language.
    5
  12652. Thanks for video, any recommendations for linear algebra books with proofs and solutions?
    5
  12653. mr sorcerer, you have no idea how much I have needed this. I have been extremely depressed and haven't been able to concentrate or focus and my grades are slipping. I think I have about 13 missing assignments right now. I have taken the initiative to suck it up and bought your lessons on differential equations. I hope to turn my life around
    5
  12654. Thanks
    5
  12655. You really need to blink more or I'm gonna have to call a local psychologist and ask him to contact you.
    5
  12656. I just recently found your Channel and practically addicted to it. I’ve been postponing to re-learn Math from ground cero and you have inspired me boldly to start. Subs+Patreon+Udemy. Thanks
    5
  12657. Wow! Thanks for clearing up that the vector is parallel to the line; I was confused when I came across a problem that involved finding the plane containing a point and is perpendicular to a line (set of parametric equations). This video was very helpful! (-:
    5
  12658. Wish I had a room like this. Small, cozy, quiet...sounds perfect for studying (or anything that requires focus), assuming there isn't a bed there, as it'd be perfect for sleeping instead😂
    5
  12659. when i was 13 i used to learn analysis for physics purposes using website with really superficial explanations, and i'm still feeling aftermath of this non-rigous learning. now i'm really curious about algeometry and topology, but calculus drives me crazy. like, at my age people are learning beginnings of differential geometry (smooth manifolds course), and i'm still being afraid of Rn calculus! Morale: rigor matters
    5
  12660. Please continue to make these sorts of videos
    5
  12661. How about A Course of Pure Mathematics by G. H. Hardy?
    5
  12662. hi math sorcerer!! i have a question for the wise lord of the queen of the sciences: im more than half way through undergrad in math,and i am starting to realise i would like to use math to solve real world problems,and i am(23) so im old for majoring in physics or engeeniering do you know of any graduate options in math that involve solving problems appliying mathematics?,there is applied mathematics but i dont really know what an applied mathematician does, i hope is not only proving theorems about solutions of pdes(dont get offended,i have no idea what they do) knowing that theres a different path i dont know would motivate me so much really looking forward for an answer :)
    5
  12663. Stuck between doing single honour maths or joint major maths and economics 😢
    5
  12664. When I study, sometimes I get this feeling of frustration, especially if it's a new concept, and step away for a minute. I'm wondering, if you do sometimes get those feelings of frustration, would you push through those feelings and keep studying or do you take a breather too? Also, if you keep pushing, to what threshold would you go up to before deciding to actually take a break, and how long do you break before deciding you had enough of a break?
    5
  12665. Hello. I just started college at BMCC here in NYC. And I'm struggling with pre algebra and soon I would have to be taking pre Calc etc. My major is Engineering Science,something I just chose as nothing else interested me. I'm not a huge fan of math and now I just feel confused. Your videos really helped me alot and I see you have been doing this for a while. Don't ever stop because people need you ! ❤️
    5
  12666. From Belgium: Having experienced both school systems (US and Belgian), I believe it is due to US secondary school being underfunded. But then, US universities are much better than Belgian ones (as US is very expensive and Belgian Univ. are almost free).
    5
  12667. Thank you for this message, I have been struggling with math 099 and its hard for me doing graphing problens and when I get fraustered with someone my performance on testing can be horrible. Recently, I didn't do so well on my first test, I felt crummy and total unprepared. So when I saw your video, I feel like the weight has been lifted.
    5
  12668. Currently watching this while procrastinating, instead of doing revision for my end of year exams that are coming up in a few of weeks :)
    5
  12669. I do believe math is one of the most enjoyflu thing possible, solving differet problems. Math is addictive and enjoyable. My boyfried hates whaist more time trying to undestad book, a article or even a problem, And nothing feels better. When I'm trying to learn somithing I do it in three steps 1) read and the only write short notes,notes to indicate parts and undestand every thing it's been said, not complite,but the basis on what you are trying to undestand, second time a read and try to summarize everything and deppen undertanding in a notebook, third latex. Most of the times it make faster when I will right some subject. it's possible to extract real pleasure from studying Math, more than much of othrs delicius things
    5
  12670. I wish I had better teachers that cared when I went to school. Back in the 70s. The squadren went over my head in math, so I gave up. All the red marks and sad face drawings I got made me entirely turn off. Now, I'm screwed! Sadly. I had no support when growing up. None. Yet I'm a very detailed exacting artist. I know my mind can do it...oh well. I'm looking for simple easy math tricks somewhere on YouTube. I was never able to do math "in my head". Forget it. It held my chances in everything back. Lesson to youngsters here. Thanks for the video.
    5
  12671. Hey can you make a video on a good book or text book for beginners on statistics
    5
  12672. I bet you can cast Math Skill Holy from Final Fantasy Tactics in real life...
    5
  12673. really neat.
    5
  12674. What if the numerator or denominator contains a variable? So lets say you had 3x/2. If you write it out as 3x/2 * 3x/2, its 9x^2, but if you just square the top and bottom than it would be 3x^2/4. Please help, this aspect of it is really confusing for me.
    5
  12675. Hey Math Sorcerer! Can you do some videos on books like mathematician biographies, math history, or math expository book?
    5
  12676. Your advice keeps getting better and better with every new video you post!! Thank you, Math Sorcerer!! You've done it again!! :) :) :) :)
    5
  12677. The best explanation of Zeno’s Paradox, clear and concise!
    5
  12678. Thank you very much for this. I wonder how optimization techniques, or Shannon entropy or information gain fit into this...
    5
  12679. Re: doing what you like. Teaching is not necessarily what you like even if you love what you teach, because teaching is different to just doing math.
    5
  12680. You say this applies to math class but much of the advice you give can be applied to everything. Thank you
    5
  12681.  @TheMathSorcerer  Just to clarify, RJ stands for Rio de Janeiro, Brazil. I really like your videos and I watch them every now and then, when I have some time. Great job!
    5
  12682.  @TheMathSorcerer  Thanks! I think I did pretty good...except for one horrible laplace transform question lol
    5
  12683. Amazing advice! You look a bit like an angel with that blonde hair and light eyes haha
    5
  12684. Have you considered the "law of large numbers" for a video like this? it essentially says if you take infinite measurements the uncertainty in the measurement drops to 0.
    5
  12685. Bedbugs with fierce stingers who like mathematics.
    5
  12686. how much calculus is needed for this book?
    5
  12687. I seen this book. Its really good one. His old house is open for public to visit. Ramanujan came from a humble background.
    5
  12688. Thank you for this awesome reminder we all needed. I work a factory job and always try to be active even though it isn't what I saw myself doing in my life. My coworkers always try their best to help each other and I try to do the same. Is there a way for me to help people see the beauty of learning math even though I don't have a math bachelor's degree or any experience with it career wise?
    5
  12689. Can you review "The Art of Doing Science and Engineering: Learning to Learn" by Richard W. Hamming, it's one if te coolest books I have in my collection and I know that you will love it.
    5
  12690. Tried for first comment, got the third, good enough
    5
  12691. Your "good luck" feels like "May the force be with you"... You're a Jedi and I hope to be your padawan
    5
  12692. Although I don't do math, I can relate to this topic in the form of becoming a musician. Self taught and still learning, I often have times where I feel lazy because I can't do something creative for a period of time. I'll have times its really hard to create something, and even when I sit down and try, nothing I do seems to sound right. Recently I've been learning to just let this period of creative draught unfold and to trust the process without feeling like I'm wasting my time. Thank you for the insight :)
    5
  12693. 4:20 yep, instead of Dedekind cuts, the newer version instead has Ordered Sets and Fields in chapter 1.
    5
  12694. My students say to me, I haven’t studied math in 3....5...8 years. I tell that that’s OK. When someone can beat the twenty years I had between college and starting math all over again, then I will have some sympathy for them. Until then, do your homework.
    5
  12695. Very easy to understand. Thank you so much!
    5
  12696. What a coincidence. I am currently studying logic in the book "A Logical Introduction to Proof" by Daniel W. Cunningham. Currently at chapter 3 and today I had this as an exercise, prove (direct proof) that if a|b then a^2|b^2.
    5
  12697. Thanks a ton, Mr. Sorcerer. I had already checked out a few of these books from your individual book reviews. This list is really helpful in giving me an insight as to how I could approach learning Math by myself. Especially because it feels like one has to master a lot of calculus (1,2,3) before diving into other areas of Math. This always felt like a stumbling block as I couldn't dive into other areas of Math with my mind constantly nagging me to get back to calculus to have a better understanding of the other areas. Now, I know that I could simultaneously tackle other topics, thanks to you. And a big shout out to that subscriber who requested for this video. This video gave me a much needed boost. Keep up the good work, sir. May you keep lighting the path of the seekers wandering in darkness. Thank you, once again :)
    5
  12698. Me gustan muchos tus reviews. Nunca dejes de hacer. Saludos
    5
  12699. I no longer know whether I'm doing maths for fun or because it has become such an addictive habit. Sometimes I hate maths when I'm unable to get to a solution, but I can't stop doing it. It's just like being addicted to alcohol. You won't like it at first, but then through sheer habit, you become unable to live without it. Even when you curse at it, and think it should be gone for good from your life, you simply cannot quit it. It becomes "fun" the same way as is drinking for a drunkard. At least that's what my personal experience is.
    5
  12700. Hi prof. Sorcerer, thanks for your contribution educating us freely. I would like to ask you which textbook are you using for this course?. Thanks again
    5
  12701. Por favor haz videos de matemáticas en español!!! 😀 los vería todos
    5
  12702. Can u give me the link of this book for India as I m from india
    5
  12703. After my first year in uni, I decided to go through this book over the summer to review/relearn calculus thoroughly. I only got to Ch. 12... So I didn't even get to the integration part but I loved every chapter of the twelve I read. I then later came across a copy of Apostol's Calculus book and learned integration from his book instead. For some reason, Apostol starts his exposure of Calculus with integration, right after some review of properties of real numbers, functions, etc, if I remember correctly.
    5
  12704. Pick up a pencil! Yes! Agree 100% That's it. Put down the dumb-phone and get a pencil or get to a whiteboard. In my humble opinion. Not just for math...but for almost anything.
    5
  12705. Great format lol definitely inspired to use something similar now
    5
  12706. Integrate it and it'll be cooler🤣
    5
  12707. Why am I so obsessed with these videos 😂
    5
  12708. 7:05 I don't think that relying on AI for help with math is a good idea. Currently, ChatGPT makes a lot of mistakes. The worst part is that those mistakes are easy to miss, especially when you are learning the material and don't have sufficient knowledge to know that they are there.
    5
  12709. There is a video from math sorcerer on the this topic. Check it out. Although not having answers make it very tough for self study.
    5
  12710. did it bro? 😂
    5
  12711. Do you trust the professor? Is the professor willing to work through the grade scenarios as described? If you can get a grade that is acceptable to your standards, are YOU willing to be an absolute fanatic and do the work? If not, it may not be the right time to complete this course, I'm almost 64, have a degree in Electrical Engineering, and do math on a daily basis just for fun. Practice is the key!! Being a bit fanatical is helpful.
    5
  12712. Google does have that ebook for free.
    5
  12713. Love this, MS!!! This helps a FRICKEN LOT!!!! Thank you for hosting, producing and posting this video!!! :) :) :) :)
    5
  12714. Self discipline. Dedication Iron determined Say no to irritating and irrelevant staff
    5
  12715. this is a good lecture but I hate the way the camera moves from left to right, causing dizziness
    5
  12716. Hi i'm the nth comment!
    5
  12717. Needed a quick reminder for a topic I haven't covered in a while and this was great, thanks!
    5
  12718. Great advice as always, key points for me is to know the study topic list and to understand outlier problems from that list.
    5
  12719. I learned a lot about C 2 months ago when I started programming ESP32s for some fun little projects with the manufacturer environment. For starting out I'd probably say get some experience in with similar but easier languages like Go. Those translate fairly well into C. Using Micro controllers to start out gives a hold in the physical world for your learning journey which helped me a lot, but using something abstracted to hell like the Arduino IDE won't bring you any closer to the language because there is no real Contact to Problems like printing a byte binary data stored in an uint8 in binary to your serial console without a thousand libraries.
    5
  12720. Greetings Mr.Professor, - Intricately Connecting Molecular Physics with Applied Mathematics in this Specific Textbook. - Thanks, Professor.. Take Care.. With regards, RanjithJoseph (R.J)
    5
  12721. thank you so much for this! you've honestly saved my test grade.
    5
  12722. To me writing proofs or writing code, to some extent, are the same thing :'). Well what is the best book for learning proofs ¿?. Thank you math sorcerer :').
    5
  12723. Reading and watching vids/lectures is great, but you gotta work problems to really cement the knowledge so make sure that you're doing that too. Best of luck to you!
    5
  12724. the definition you give for an open function is for continuous mappings is it not?
    5
  12725. I swear my professor didn't know how to solve this and just stuck that in the homework hoping that a student would come up with the answer. This is a demonic problem for which the professor provided no guidance. So thank you for this.
    5
  12726. I made math my favorite hobby and have gotten very good at it IMO. I was pretty much average in math until December last year. On the day my school was out for winter break I started learning Algebra II, beginning with Khan Academy. I put in a few hours a day (and still am with what I’m doing now) practicing what I had learned, and finished it all (based on my county’s syllabus) in February. Then I went to Precalculus. Same deal with my self-study with Algebra II, putting in a few hours per day. I finished it a few days ago (again based on syllabus, and a few more things like polar graphing) and am starting to learn Calculus I things now.
    5
  12727. "10 years from now, you won't be in college." I started my first semester of undergrad 10 years ago. Now I'm about to start my last academic year before I get my Master's. I've been in college every year in between. I've had plenty of fun. I think it's time that I worked a little harder. I'll still try to have fun, but it might be time to dial it back a little bit and focus more on the work and try to find the fun in the work.
    5
  12728. Professor, are the examples of final test questions available just to practise?
    5
  12729. I really think that Isaac Newton is your favorite mathematician, by the way he is my favorite 😍 ❤
    5
  12730. V for Viergruppen (four group)
    5
  12731. HVAC, electrician, plumber, carpenter. Math for fun
    5
  12732. Based
    5
  12733. Good workbook. In this regard, you might also want to review Vector Calculus by Colley (it's calculus 3 and 4) which is a comprehensive text with excellent explanations, illustrations and a solution manual. Calc 3/4 is usually studied too fast and that's wrong. Colley shows the beauty and depth of this subject properly. I'm even surprised somebody would write a book like that! It's not easy at all; it's easier to cover this advanced topic shortly so that students can just rote-learn and do things by templates. However, Colley explains stuff exhaustively, illustrates it, and shows all ins and outs. Kudos! What's more, I think Vector Calculus by Colley is the best book for serious studying of this subject and for getting explanations on it. It has a superb solution manual with illustrations which is 400+ pages long and does a very thorough job. After her book standard calculus books would look like hs books but her text is not difficult because she obviously wants students to get the real understanding of it, not to prevent them from understanding by doing only routine template problems. Her text makes bridges to physics and linear algebra and contains text problems too. Graphical illustrations are superb there.
    5
  12734. Applied math 🎉🎉
    5
  12735. Thank you very much for these videos, they are great! Can I ask what software you use for drawing, recording etc?
    5
  12736. This is really easy to follow! Do you have a difference of squares video to link in the cards? Also, I miss your hat
    5
  12737. I can't wait to get this book. Pretty exciting! I prefer physical copy
    5
  12738. Wow, I was just looking for physics book on Amazon and this video came up. Lol. Sir, can you please do a video on the thick book from Halliday from your 10 math and physics book a couple weeks ago? I think I want to get that. Thanks!
    5
  12739. Literally started real analysis two weeks ago! Might pick this up as some additional help! Thanks!
    5
  12740. I love having to think of multiple ways to say "thus"
    5
  12741. "The expensive boats at the docks in Saucealito never leave the docks. Because the owners never took the time to learn how to use them." paraphrase of Alan Watts.
    5
  12742. Hi
    5
  12743. This all makes me wonder (partly based off books I read and interviews) if some of our number systems and measurements were designed long ago to work conveniently in a variety of ways including work easily with celestial bodies or lights (which help with time keeping).
    5
  12744. He’s talking about Larry. Larry was a tall man. His wife made the best blueberry pie….
    5
  12745. I wish I was in his class
    5
  12746. From START to CURRENT KNOWLEDGE.
    5
  12747. This video should be clipped at 1 minute, concluding with: "(When you don't get something in math) you have to be able to prioritize your time and give up strategically." (The whole clip is a great watch, but that first 60 seconds is brilliant.)
    5
  12748. What’s wrong with the audio?
    5
  12749. Excellent video - having done one of your Udemy courses (College Algebra) I would love to do more. You're a very good teacher. Currently working through some self study so I can do your calculus course.
    5
  12750. l learned very much.Thank you very much sir ❤️❤️
    5
  12751. There are many areas of mathematics
    5
  12752. I just realized that if you shave your head you literally are Jeff Bezos...also both are good at math (Jeff was a Quantitative Analyst) and both are 🇨🇺 (Jeff Father Miguel) otherwise with the hair you are a modern descendant of Isaac Newton as others have mentioned.
    5
  12753. this is supposed to be engineering mechanics one course. maybe at that time it was taught as a applied math course. still I can't imagine to solve all those question within 2 hour and not having access to any form of calculator this is real hard work.
    5
  12754. That looks like a cool book. I'm currently studying calculus right now so it's fun watching all of your calc videos! Happy St. Patrick's day!
    5
  12755. Got so mad with Chemistry for 2.5 years and decided to go with ICT now. As we can choose either Chemistry or ICT😂.
    5
  12756. Manifolds was a very hard subject. I loved analysis but I did have to watch your videos on Cauchy sequences probably 10 times before I even began to understand it.
    5
  12757. Thanks. This is very helpful man.
    5
  12758. "Grad School" means, in the US at least, students pursuing an MS or PhD
    5
  12759. Wow, you are my inspiration ! Thank you so much for your help... Sir I have a suggestion for your channel, if you do a series where you do something like math intuition or the idea behind simple concepts in math that people usually don't see or you saw special things in them that would be really good... And thank you so much for your help!
    5
  12760. wow im early
    5
  12761. Onggg
    5
  12762. That's what i wanted from you❤❤❤
    5
  12763. Thank you for the simple explanation. I couldn't understand much from the books but you made it look easy.
    5
  12764. LMHO!!!! Good one, Math Sorcerer!! Love it!! :) :) :) :)
    5
  12765. In the 1950s Spherical Geometry was a popular optional 'O' level subject. It aimed to give a mathematical background, on such items as Napier's Rules, to those preparing for entry to the Mechantile Marine at the deck cadet/apprentice entry point. Changes to technology and the contraction of the Merchant Navy led to a reduced popularity for this subject. Up until the early 2000s I was still running occasional courses on the subject for those starting to work on navigation systems and orbital dynamics at Higher Graduate level. I tended to have very bright, well qualified students who grasped the concepts very easily. Questions on Great Circles were frequently used on Selection Boards for personnel applying for jobs in these spheres of work.
    5
  12766. It's funny because my name is Luis, I'm Brazilian, 33 yo and I could easily have written this email myself 😂
    5
  12767. I can't help myself, but this is more of a systematic application of Vietas (or Viète) formula. This is definitely not a new method and actually was invented several hundred years ago. Or did I miss a certain detail?
    5
  12768. Thank you, I needed this, I spend most of my time learning web development. I'm Nigerian so I have to go the extra mile to get courses, books and practice. I have also experienced the joy and reward of foregoing present social interactions for ones passion/project.
    5
  12769. I thought about being an auto mechanic but after hearing about my cousin's co worker who got a spring impaled into his face I'm not so sure. I appreciate math but I didn't do my homework lol. I thought about studying math and sciences full time for my gap year and applying to community college in September and transferring after. Maybe engineering? I'm not sure but I'm just lazy ATM and I need to change that. Astrophysics always caught my interest as well but at the end of the day it's all about money and what job I find with the skills I gained in post-secondary.
    5
  12770. I love that Bond and Keane book. It's the only textbook I ever read cover to cover as an undergrad. Nobody I talk to has ever heard of it so I'm glad you mentioned it.
    5
  12771. Excellent teaching, thank you very much!
    5
  12772. that's badass.
    5
  12773. I would love to be in this professor's class if (s)he existed
    5
  12774. Same here!
    5
  12775. Welcome to tensor calculus
    5
  12776. This is really addictive.. I am also a mathematics student of undergraduate level.. I also love buying different books... Stay healthy.. Love from india.
    5
  12777. You're my inspiration Math Sorcerer
    5
  12778. I'm scared to take Calculus but I need that and more for engineering.
    5
  12779. Organic Chemistry: "You can't handle 3000 Problems in O-chem!!"
    5
  12780. To answer the question, it is absolutely NEVER too late to start! I think I knew of a professor that started in her 40’s.
    5
  12781. What if the equation has an e^(-x), instead of an e^(x), is that still linear?
    5
  12782. Hi sir I m an Indian... Nd I'm in class 9th.....so could u plz give me a readmap to get master in mathematics..... Bcoz I love to read and solve math
    5
  12783. is that Jeff Bezos with long hair
    5
  12784. The length of an ad
    5
  12785. Great video, sir. I wish I had had you for a professor! My freshman Calc book was by Bonic. One of the great features of the book is that there are accompanying notes by Bonic's students who comment about the struggles and insights they have had while taking his course in prior years. For a student like me who has always been afraid of math it was wonderful to be able to relate to the other students' experiences.
    5
  12786. FIRST COMMENT FROM INDIA🇮🇳🇮🇳🇮🇳🇮🇳🇮🇳🇮🇳🇮🇳🇮🇳🇮🇳🇮🇳🇮🇳🇮🇳🇮🇳
    5
  12787. Get higher level books if you want to solve everything. The books you mention involve too many repetitive problems.
    5
  12788. thank you man ... you saved my ass.
    5
  12789. Why you suggested undergraduate & graduate textbook of mathematics... I need Advanced higher studies textbook of mathematics...🙄🙄 {Like Representation theory, Algebraic topology, Smooth manifolds, category theory... Algebraic geometry,, Algebraic number theory... Knot theory books,fluids dynamics } ...Love you from India ❤️...
    5
  12790. Yeah
    5
  12791. A Formula From The Past
    5
  12792. A book that I definitely need. 👍 It will be helpful if you suggest some books on Differential Equations those contain a lot of situational problems.
    5
  12793. Dark Magic!
    5
  12794. Thank you! I'm Japanese university student.
    5
  12795. 60minutes a day times 5years....
    5
  12796. Wonderful explanation! It helped a lot with my Calc II homework.
    5
  12797. Baldor does sound like a math sorcerer name.
    5
  12798. I came up with a new word when proving things....S'pose (Suppose).
    5
  12799. 100% true. And I can go further: - divide your paper in 2 columns: 1/3 for your own comments, and 2/3 for professor's lessons. - what you write in the 1/3 column as comments are all information, comments, or questions related to the notes. Also, notice that your professor repeats some key points on specific concepts, please mark asterisk on these topics. Why, because there is a high chance that you will have it on your test/exam/quiz/final. I, as an average math learner, used this method I invented to achieve my master degree in math with honor. Again, taking notes in a smart way is indeed the main success key factor to succeed in Math college. A guaranteed method.
    5
  12800. Loved this video, thank you 😊
    5
  12801. Besides exercises, I've started using flashcards and a Leitner box to memorise definitions and other useful facts. It really helps.
    5
  12802. "Every single quadratic equation factors..." Umm, let me stop you there "...as long as you allow yourself to use complex numbers" Oh, okay
    5
  12803. Honestly these questions are sooo tricky. Thank you for the very helpful video, you saved me in college calculus!
    5
  12804. The sense of belonging ness and believe in his own abilities important to overcome the syndrome of failure.
    5
  12805. I'm studying 5 languages and I have to say that at the end of the day, I feel like smoke is coming out of my head. 😂
    5
  12806. A brilliant beard for a brilliant mathematician.
    5
  12807. I love math--BIG TIME!!!! I also love collecting books on math--BIG TIME!!!! So, I guess I'm one of that 500,000 or that number is 500,001!! :) :) :) :)
    5
  12808. Huh, funny that I found this video today. I just decided to change my degree from a Applied Maths to a full mathematics degree solely based on the topic of being inspired. Recently I tried working on a question and It really incited a change in the whole mood of mathematics for me. From wanting to learn math so I can do math to wanting to learn math so I can understand math and its a whole different perspective. I feel even more confident because I'm happy as long as I'm trying to understand what I'm learning so that I can be one step closer to learning even more.... Funny how that works.
    5
  12809. I just recently got back into college. Prior to that I spent a year teaching myself algebra. This semester is ending, and Im going to walk away with A's in two algebra courses I took simultaneously. I could not have managed that if I hadn't studied ahead of time. Im now using the same strategy to prepare for Trigonometry and Calculus. I am having more fun now than I have ever had in my life. 10/10 would recommend self-study.
    5
  12810. I love all your books. wonder how much have u spent on all of your books in total:))
    5
  12811. Hey Math Sorcerer, I have a question for you. I am a computer engineering graduate and I had relatively very basic graduate math courses mostly focused on Computer Science and Algorithms (some discrete maths (combined with basic number theory), some basic real analysis, basic linear algebra, and very condensed statistics) and this does not satisfy my mathematical itch. I am now looking to extend my mathematical knowledge but I am stuck as to where to start. I am interested in cryptography and number theory, but I also find differential equations, multivariable and functional analysis interesting and worth getting into! Plz halp!
    5
  12812. My best advice is to befriend motivated classmates and talk about the lectures, readings and practice problems with them as much as possible. You'll absorb and understand so much more and so much better! Plus take care of your physical health with sleep, diet and exercise.
    5
  12813. Newport's "Deep Work" and "So Good They Can't Ignore You" are also really good. I recommend them! And everyone should watch Marty Lobdell's "Study Less, Study Smart" lecture, and then apply the lessons. I did, and I think it's working good for me
    5
  12814. trying to get my study hours back up to my previous norm but i have family home and neighbors, for math people we can read for hours but for most they are losing it staying at home
    5
  12815. This is the book that was used in the Real Analysis course taught at my undergrad institution while I was there. Didn't get to take it before graduating, so I picked it up later. It's a great book.
    5
  12816. I like this guy
    5
  12817. Merry Christmas, Math Sorcerer! 🙂🐴
    5
  12818. "You can draw a picture and then you can change the limits" I swear the joke was too real to laugh at
    5
  12819. Hi. I am a self learner and started using Robert Adams Calculus book. It was great in the beginning but then he stopped explaining stuff. Between J Stewart and Larson, which calculus book would you suggest ? For self learners ?
    5
  12820. Hey math sorcerer nice video. I’m not sure how busy you are but I’d really appreciate if you could make some videos on applications of calculus. I’m currently taking calculus 2 and the physics based work, pressure, force, and density problems have been quite difficult for me. Keep being you you’re awesome 😎
    5
  12821. I'm debating between the Navy and graduate school (not sure if I want to go into applied mathematics, epidemiology or biostatistics). Also, I want to do a Master's first to see if I REALLY want to go that far because.. I'm not a great math student (if I do applied mathematics). I was going to study for the Navy ASTB (Aviation selection test battery), but it was pushed because of COVID-19, so now I'm stuck with preparing for the GRE + Math GRE (just in case). I switched to a math major pretty late, so I didn't get to take a lot of classes. The classes I did take were mainly applied math related; I haven't taken any abstract algebra or sorts, so I'm kind of stressed/worried about preparing for the GRE by July. I feel like I'm having to take a class or two just to prepare in addition to two summer classes and one self study class :///
    5
  12822. 6 years later I finnaly find a good math channel
    5
  12823. It’s a good process. I like to try a few exercises as I go for perspective and motivation, but ya, I definitely don’t try to do them all the first time, feeling like you have to grind a whole exercise section before you start the next chapter is a good way to never pick the book up again.
    5
  12824. Yep grades matter. In Europe, there is no GPA (or atleast it is not a standardised grading system), instead the grading system has 5 grades. 1 is the best, 5 or 6 is the worst. The equivalence to GPA is arithmetic mean. So you take grades from all of your previous finals from all of the semesters and you eveluate the average. The smaller the average is the better chance you have of getting into grad schools. Some universities even require certain value of that average. As far as I know, for example Cambridge requires the average of 1, which means that you can only get 1s (As) in order to achieve it. However, if you are not targeting pure maths grad school at cambridge, something around 1,5 should be enough.
    5
  12825. Sometimes I do feel like a derrière. lol! (I think you got zapped by auto correct)
    5
  12826. Become a Math God with a subscription in Wolframalpha. //Our education system is so outdated. All they teach you is algorithms for solving stuff even though is irrelevant in today’s world. //Math education should be purely about understanding—Not about algorithms.
    5
  12827. Back in the '90s I was the only teacher at my school using Plain TeX and LaTeX for my math tests and handouts. I was accused of photocopying published material! Everyone else was still doing stuff by hand.
    5
  12828. I can't stop drooling over your books in the background. I could eat them. 🤤🤤
    5
  12829. I'm still waiting for you to do a lot of examples of series for calc II.
    5
  12830. You are a real sorcerer man. Thx for helpful videos.
    5
  12831. The 1st time I saw a graph theory problem was in "Good Will Hunting." (This takes me back.) So, Greek is my 1st language 🇬🇷 but I remember not knowing what Σ meant in Math for years, even after the movie. My understanding, (back then,) was that "if people were writing Σ in their formulas then they were doing hardcore stuff." If I ever wanted to do "Serious Math" then I had to know what Σ was all about and I had to understand what boxes with 0s & 1s were. AND... if a formula contained ∑ and ∞ then "ooooooooooooooooh watch out, super-genius coming through!!!" I felt so silly when I found out Σ is just a really big plus sign... 🤦🏻‍♂️ (which is probably why it's ubiquitous.) And those "boxes" in the movie with 0 & 1 were adjacency matrices. 🤦🏻‍♂️ (yeah) But my truly hilarious Math blunders were realizing that: d/dx ≠ 1/x (who knew? d is not a variable) 🤦🏻‍♂️ ∫ xⁿ means nothing without dx and the best for last: x₀ + x₁ + x₂ ≠ x•0 + x•1 + x•2 = 3x (so, yeah... size matters) 😂 Note to self: "subscripts are not tiny coefficients written small to save on ink, & they are not written on the back of x to add difficulty to an algebra problem." 🤣 Yes... I REALLY was unclear on those things. But a LOT of students get through Calc3 and even Linear Algebra and are still absolutely terrified by the super scary ∑ symbol... and I get it. That's why I confess all this.
    5
  12832. I'm studying math 2, but you explain very good, so I understand many new concepts.
    5
  12833. A mate once asked me why I'm so in maths despite not formally studying it, why do I spend so much time on it? I answered "you know what a 'light bulb moment' is, don't you?" Yeah, he said. "You know how awesome they are? How awesome it feels to finally understand something that you just couldn't understand before? It's such a rush man, it's like magic, there's no other way to put it, and as I keep learning more I feel like I keep getting these glimpses of what's ahead, like I'm starting to see the connections between the different fields and stuff. It's so exciting!" I was grinning with excitement at this point and proceeded to explain to him how maths is definitely a subculture and maybe even its own culture, and how mathematical thinking can be applied to almost every situation. I even attempted to define mathematical beauty for him, but of course that was doomed from the start! Anyway at the end of my lecture/rant, he said he didn't understand at all, but that I made it sound pretty cool 🤣
    5
  12834. Very nice yellow color
    5
  12835. Thank u man
    5
  12836. 0:42 you have inspired me man ! Thanks
    5
  12837. Incredible !!! Great review !!
    5
  12838. What is the software you use to write and also the device ? Please let me know
    5
  12839. this guy look like issac newton
    5
  12840. Other good functional analysis texts: Brezis, Rudin.
    5
  12841. Don’t worry. I literally embarrassed myself in front of my professor today. You’re a human like everyone else.
    5
  12842. I was listening but at the same time reading all the math titles on undoubtably the best bookshelf on youtube.
    5
  12843. As someone whos suffered from burnout several times I think the most important thing is maintaing a MANAGABLE consistent schedule. Like sure if I really pushed myself I can do intense work for 8-12 hours a day but it will only take so long before you can't do anywork for like a period over a month. Honestly if you're trying to learn as well, taking breaks helps you learn faster as you can digest the information better instead of just shooting a firehose at your head extpecting to retain everything perfectly. What burnout feels like is your concentration goes from maybe a lazer beam to a wet noodle. You want to focus on something but everytime you manage to work up the effort to try it just collapses. Just like trying to stab something with a wet noodle
    5
  12844. OK! Obviously, -1<(-1/p)<1 , i.e. |r|<1. Then this series have a finite sum , and converges to the limit. At the day of the full blossom of cherry flowers "SAKURA" , Thank you always!
    5
  12845. Am I the only one who learned the disk/washer method in Calc 1 instead of 2? Also I still think Calc 3 is the hardest. I suck at 3D graphs. That being said, infinite series are TERRIBLY hard.
    5
  12846. I just bought, Discrete Mathematics, 5th edition, Richard Johnsonbaugh. Found it at our local goodwill warehouse where i buy all my math books 5 books for $1.00. Your math library is my inspiration. My best find was Britannica Great Books vol. 11, which includes entire Euclid Elements, Archemides, Apollonus of Perga, and Nicomachus.
    5
  12847. As an IIT JAM aspirant this looks much like my practice problems
    5
  12848. Thanks
    5
  12849. This is SO TRUE! Great advice Mr 🧙
    5
  12850. Yeah I disagree. He's just having fun and it makes the lectures so much more enjoyable.
    5
  12851. In my opinion, the best way to start learning math is working hard with the following books: 1. Algebra and Trigonometry by Stewart (or by Swokowski or Larson). 2. Geometry by Serge Lang. 3. College Physics by Vuille. That's an elementary treatment. It's important to know a bit of physics as calculus and differential equations emerged as a result of problems in physics. It's almost pointless to study calculus without elementary knowledge of physics in my opinion. School books on math and physics are too dumbed-down and provide mostly rote-learning and template experience. They are far-fetched and detached; it's neither real math, nor physics; it's a very poor HS preparation in math and physics. As a result, most of college students have dire problems with calculus (and with physics too) and other math subjects. Even remedial courses don't solve this problem in my opinion. I'd say that 90% of college students drudge on by means of rote-learning when it comes to calculus. 4. A First Course in Calculus by Lang. Suited for high school students. It's a truncated course. As an alternative, people can start directly from Calculus by Stewart (or by Larson or by Thomas), which is a comprehensive (not really, not even close) classical text but these are large textbooks. I don't want to discourage people and that's why I listed a simpler shorter book by Lang here. That's the basics. Then the next level courses follow: linear algebra, discrete math, ODE, probability theory, complex variables, abstract algebra, and analysis. It's still the basics (to be studied in college) but it's more comprehensive and advanced. It'll take much more time and effort to study these courses properly (never done except maybe for 1% of students), i.e. gaining understanding instead or rote-learning. The first four items listed above are ten times easier but even they require a lot of time to understand and master properly. If that's not done, you can successfully plod on rote-learning more advanced courses. The result: zero understanding and an illusion of knowledge.
    5
  12852. I love the enthusiasm
    5
  12853. Let me offer another way to look at it. 83,000 infected, 37,000 recovered 3,000 dead (rough numbers) so 40,000 people have completed the illness, recovered + dead, of which, 3000 have died. so around 7.5% of all people completed the illness has died.
    5
  12854. Greetings Mr.Professor, Good Simplified Overview of Mathematical Subjects. My Interests during School Days - Trigonometry, Vector Algebra and Matrices & Determinants. Presently I am conceptually interconnecting PSM(Social & Preventive medicine), Prosthodontics, Orthodontics, Robotic Surgery (OMFS) in My Apt scope of Outreach with Mathematics in all possible aspects. Take Care, Sir. With regards , RanjithJoseph (R.J)
    5
  12855. Amazing!!! This is active learning at its finest!!! My new favorite pass time.
    5
  12856. You're a lifesaver!
    5
  12857. Honestly this is something that can’t be said enough. Whenever I didn’t succeed in undergrad it was because I didn’t believe in my ability and gave up prematurely. Now that I am a teacher I see it in my students and I try be their cheerleader to help them gain the confidence and grit to persevere and become better. Awesome vid!
    5
  12858. I looked at it, and saw 3¹•3³=3⁴. Took a few seconds.
    5
  12859. I really needed this. Failing my classes...siiigh....i just "see the light" often too late and my degree time is running out.
    5
  12860. This make so much sense and can relate to it.
    5
  12861. Who's the little guy with a pearl bigger than his head? Is that the pearl of wisdom he's holding?
    5
  12862. People at our university have probably done that and looking at theorems and their proofs was never a problen because of that. I think thats a great idea, you can also share it as a pdf file to others.
    5
  12863. Sometimes I feel like you said exactly what I needed to hear
    5
  12864. Math Sorcerer, if you don't mind, I have a question. I was sitting in my math class the other day, listening to my professor speak about a math olympiad my state hosts. We got to talking about how those students make the rest of us look bad with how quickly they can pick this stuff up. Now, I used to be pretty awful at math, but through hard work and effort I have been pretty consistently at the top of my math classes. However, I want to be at that prodigious level. I want to be like my professor and like the natural "Ramanujans" so to speak. Do you have any advice outside of just hammering away at math constantly?
    5
  12865. Haha awesome story
    5
  12866. Sir I Salute to you! You made it so simple, to the point and precise! Whenever there is a doubt, I will look up to you! Your teaching style really helps me during my first year in engineering!
    5
  12867. Get a haircut, hippie! 1:17 You have NO BUSINESS exposing a student's grades/performance. Lawsuit, anyone?
    5
  12868. There was one problem I was really stuck on, I couldn't figure it out for days at my desk, but then when I was outside with my parents I came up with the solution and then I was so happy.
    5
  12869. thanks You so much, I needed your messaje🤙🤙🤙🤙
    5
  12870. Dr. MS? I only watched 15 seconds of your new video and paused it long enough to buy my own Dover copy for my math library!! I love complex variables!! I love math--and I love your channel and the influence it's had on me!!! I don't know how many books I've bought on a whim (practically) for my math library after watching your awesome videos! But it's quite a few!! :) :) Thank you, MS!!!
    5
  12871. This was very helpful I got an a+ on my test
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  12872. “No one care about your future then you”——The Math Sourcerer 1 point doing note , can be half hour even 3 hour per day 2 point Do homework, pay all attention on your homework 3 point using the question book, Buy a math book solve the question with answer Point 4 Pay attention and stay alert 🚨 to teacher course , if he let me know what is the homework or ask me every question . That’s very possible is exam tips Point 5 Study consistency, spend time every single day on math Thank you Guru !
    5
  12873. That's easy integral. Solved in three seconds. Can we have more difficult ones?
    5
  12874. Your voice is like honey to my ears Professor
    5
  12875. Just teached what a teacher takes two days, in 1 minute
    5
  12876. you are such a good teacher! i just cant understand why a subset being non empty is the same as 0 being in the subset.
    5
  12877. The Math Sorcerer single handedly developed that appreciation for mathematics in me. Thanks!!
    5
  12878. Great advice. I just did as many math problems (unassigned ones too) as I could for this week's Calculus class. Some were pretty tough, edge-case problems too but I crushed it. Knowing even the tough problems as I get ready for the exam will make a big difference. Thank you!
    5
  12879. I always ask my Tutoring Clients and Younger Colleages if they play sports or music, etc. I remind them that practice in those activities is what improved their performance; learning Math and Physics is the same deal. Blood, sweat & tears is the "Magic Wand"; nothing beats concentrated effort. You'll be surprised by how often the light bulb clicks on after doing the work!
    5
  12880. What you need to know about technical analysis you can write on 1 sheet of A4, but I wouldn't touch the markets without it.
    5
  12881. I have mathematical happiness but I dont achieve it in this way. I have mathematical happiness by practicing the fasting computational abilities skipping up to 3 steps in an integration and not writing it all out. Then creating math theory and how to do things efficiently thats where my mathematical happiness is founded
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  12882. 1st..))
    5
  12883. I am doing CS right now and we are doing a little bit of discrete math. I really need the math tbh...
    5
  12884.  @mrheng562  Oh that makes sense I have just never seen anyone call it CLT before, I had only seen combining like terms. Thanks for the clarification.
    5
  12885. Thanks a million... But actually I wanna know your name sir....!!!! I have seen your multitudes of videos but unable to find your name ...I don't know ..why But it's my pleasure to know your name....💕💕💕💕💕💕 love from India.
    5
  12886. First
    5
  12887. professor gabilando you are the best professor i ever had ....thank you for your hard work
    5
  12888. "Let go and move on" is also good advice when it comes to relationships!
    5
  12889. I wonder how much of this material is duplicated in the 'Dragon book' (Compilers... by Aho, Sethi & Ullman)? It's book a while since I looked at my copy, but I remember from when I used it at University that there was a lot of coverage of NFAs and DFAs and their use in recognising sequences. Lots of stuff on grammars and algorithms for recognising those too. However it's a more practical book in that it gives lots of code examples. Also it covers the whole compiler pipeline through to code generation.
    5
  12890. True enough! But this nothing personal, I can't resist to say it out but... deep down inside I think somehow, someday you will be honoured with an award (I don't know in what form, may be an academic prize or professorship or something - anything related to mathematics and/or education) becuase looking at the way how passionate you are on mathematics and educating mathematics to people. God bless you, amen!
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  12891. I think: Math is part of the universe but I think also there are a lot of species of math and our way of thinking allowed us to disvover especially this Kind of math we know. Thank You Dir all Your Work in this YT-channel! I love it. Greetings from Blackforest ( germany ) 🙋‍♂️
    5
  12892. Thank you very much! Came in handy during the pandemic. 🙂👏
    5
  12893. New pet rock?
    5
  12894. I watched one hour, planning to watch one hour every day. So I will finish it this week. And I understood almost everything, wow! You have a skill for teaching that is for sure. But I am human and I after watching one hour I only have one question, that in of itself is amazing. Question from: 15:50. Why can't X be 3? If it was 3 then the denominator would be 0, in which case DNE. So we have to try a different approach but I still don't get why it can't be 3. On that same note, why is there such a big difference when you approach from one side vs the other. What I mean is, you write that x>=0 but not x<=0. Why the disparity? Hopefully I was able to explain my problem well. This is an observation. Time: 32:29. "(c)" The reasoning makes perfect sense. But I have never seen a function that creates a graph like that. I am sure a function like that exist. And can you give an example so I can plot it out? The graph where the function breaks condition #3.
    5
  12895. @ 2:48 "This last result is obtained from the tables." He does seem to be babying his readers here, since we should be able to massage this expression into the LaPlace Transform form for sine. Makes me want to get this book. I hate being demoralized by the "well, isn't it obvious" attitude of most math books.
    5
  12896. Sir I'm very good at statistics And learning topology That's my mathematical achivement Sir reply me and heart my comment
    5
  12897. Genius. An excellent way to deliver content. Thank you
    5
  12898. I also want to learn freely without taking stress because of grades... But grades do matter so much.....
    5
  12899. The World's best pencil
    5
  12900. The best math teacher I had was in community college, he had daily 5 min quizzes where if you get 1 wrong is was a 95%, and 2 or more wrong always 0% that had no impact on the final grade, but he would glance at everyone's answers afterwards and call you a bum or say you must be smoking something to get that wrong. It was helpful to get your face kicked in like that. I took this guy from trig all the way to calc 2
    5
  12901. Elegant proof my friend. I think we should call you Math Ninja because like Kakashi Sensei there are no wasted moves.
    5
  12902. I have a different feeling about that. Of course, teaching something is a great way of learning that thing (for me, it's the best way). But I've been a professor for 14 years now, and I saw several of my colleagues who just memorised the solutions. They couldn't go beyond the scope of what they're teaching and couldn't generalise the methods from outside of it. The last example I got was from undergrads Linear Algebra. I was dividing the class with a colleague, and he struggled with the basic exercises. I once asked him why was he struggling, and he explained to me he never got the grip of that beyond the class. At the end of the day, it drills down to who you are and what your interest is in the subject. Anyone who is in love with maths and solving things and questioning can get far by teaching. Not all teachers/professors have that curiosity, though...
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  12903. I also think it has something to do with the 'evolution' of your 'likes' and 'dislikes' in life, so to speak. When we were young, we all went through this stage when you couldn't figure out yet what you really like or wanna do in your life and only came to know it later in life. I believe that this late realization of interests has absolutely great impact on how soon you can progress. With respect to Math, some people began liking the subject at a very young age maybe because they were introduced to the subject by their parents earlier in life. As a result, they got to practice math earlier and hence they became ahead of everyone else who did not start to like math the same time. Some people started liking the subject later in life but they all just did fine as well. Nevertheless, I strongly believe it does make a big difference if you get to realize your 'interests' in life at an early age. The sooner you realize your 'interests', the earlier you will start focusing on it and as a result, the faster you will become better than everyone else.
    5
  12904. I just bought the 3rd edition on Amazon to go along with the 13th edition of Thomas' Calculus that I have per your advice. Thank you very much for suggesting this. Really like your videos and the information you provide.
    5
  12905. I love this! I am trying to understand what a manifold is, and knowing what the term "topological space" means is key!
    5
  12906. One of favorite youtubers,but the you recommend can't be purchased by me as i live in india and export increases price exponentially.But i love your videos.
    5
  12907. I'm so relieved by this video. I've always read that Issac Newton was a very unlikable, petty, and unpleasant person. I'm so glad to see those myths debunked..... he's a very nice, motivating, and positive man. Thank you
    5
  12908. I've genuinely never laughed at a YouTube video harder than I laughed at this.
    5
  12909. Showing this to my Asian parents in before I get disowned
    5
  12910. why do they make it so difficulttttttt like why do i have to go through 20 menus to delete them omg
    5
  12911. Hey
    5
  12912. Hey
    5
  12913. Haha true. For an undergraduate it gives you a taste of the hardships you'll face as a mathematician.
    5
  12914. You´ve got a pretty nice Spanish accent! Congratulations!
    5
  12915. They send best of the best to study in the US? So your sample of observations is biased
    5
  12916. The best scientific calculator in the world is the HP-15C. As far as Texas Instruments models, the TI-36X Pro is a superior calculator over the TI-84 and you’ll pay much less for it! You don’t need the graphing feature in a calculator, it is useless for helping you learn or for checking your mathematics.
    5
  12917. 1st
    5
  12918. Jeff Bezos started out in Math.
    5
  12919. Nice math book and awesome comments!
    5
  12920. 8:47 is motivation for me!
    5
  12921. Well,I hope that I pass my quantum physics exam...
    5
  12922. Thank you!! This really helped with my college calc class
    5
  12923. Thanks a lot for the video! it was just what I need it, I am a 9th semester Student of Ingineering of sustainable processes of wood and this video give me so much to think, I strongly think that the future is on the countryside, off course applying new technologies.
    5
  12924. Just love how you take in a deep whiff of each physical book …… could not agree with you more there……I do that with every book when I first open it, no matter how many times I may have read that book before….the way that a book’s smell ages is also such an intrinsic and “living” part of that book…..❤❤❤
    5
  12925. If i spend a day without learning something i feel like I'm wasting my life😅🤣
    5
  12926. Is this Dover?
    5
  12927. Sir, could you tell me the best real analysis book?
    5
  12928. gandalf after saving the middle earth became a mathematician 😅 hugs from brazil.
    5
  12929. 🎉🎉🎉first comment, I was about to search a video like this, but fortunately for me i saw this video notification. ❤
    5
  12930. I’ve written this in comments before. I constantly failed math when I was a kid. I had the worst math anxiety imaginable. Finally, I decided to get a grip on this supposed “failure,” and learn math from the very beginning. I was in my early 50s. I did some research and contacted Jo Boaler, a math education professor from Stanford, for advice on homeschooling curriculum. I’ve stopped and started a few times due to life intervening; I took a year and did nothing but addition/subtraction/multiplication/division of fractions, but I am now 63 and just finishing 5th grade Singapore math. I think the whole “slow down” thing is a bit of a lie, actually. It’s a matter of applying yourself and continuing a pattern of learning for your whole life. I have not “slowed down” mentally at all. If you stop the pattern of learning, yeah, you lose a little bit. But if you NEVER stop learning, you don’t slow down. Seriously. You don’t. Just because of life experience, I realized that I have been doing algebra in one way or another all my life—even though that had been my Waterloo in High School. I watch anything on YouTube having to do with math, even though I don’t understand it yet. Heck, I’ve even watched ALL of the old Numb3rs tv episodes at least once! I love math now! I plan on continuing through calculus, and I KNOW I can do it! :)
    5
  12931. Much like logs reduce products/quotients to sums/differences and powers and roots to multiples....the order of complexity is much reduced.
    5
  12932. I have seen your C programming videos in YT, and seen you using visual studio and I think you are pretty good at computer science I think you should try linux and free and open source tool around your system. I think you should teach not only maths but also privacy about the system and tools they use. Please consider supporting FOSS(Free and Open Source Software)
    5
  12933. I subscribed your channel just yesterday. Your channel is quite informative. Loving the experience here. I also began my intro into Abstract Algebra by reading Saracino and Beachy. We have some similarities here. Anyways, you look like a good person. So keep up the good work. Love from Bangladesh. Stay safe in the lockdown.
    5
  12934. Nice thanks😃
    5
  12935.  @urssmapper7242  But If you learn them correctly it will take some time but you will muster the topic much more.
    5
  12936. Up until after taking differential equations, I was smart enough that I could wait until three days before the exam to do all the homework/review work and do great. That said, it was uniformly a hellish nightmare of stress and burnout that I would not wish on anyone. Talent really only takes you as far as you're willing to work.
    5
  12937. Smells so good hahahaha
    5
  12938. Please, can you recommend some books on differential equations and linear algebra for self - study?? I am in the situation you speak that.
    5
  12939. Thank you very much, I have the same exact question in my book.
    5
  12940. perfection
    5
  12941. ❤️
    5
  12942. I liked your videos
    5
  12943. nice approach I did not realise!!
    5
  12944. Thanks for information
    5
  12945. You are living my dream. Always wanted to teach mathematics for a living. I decided to follow a different path back in my college days. I thank God for all three college degrees but a math degree is what I always wanted to do. Hey, I made a wrong choice.
    5
  12946. What level would you recommend this book for? As a sophomore in highschool with alot of time taken up with difficult classes, would it be a good idea to pick up this book considering that a) I won't use it probably in calc bc or multivariable b) will have to go over it again in college?
    5
  12947. This video is the only video on youtube that could help me with line integrals. Many thanks
    5
  12948. Intellectual humility is a characteristic often bind to the great minds. It's a signal that is ok if the others see you as a human too.
    5
  12949. I saw this book somewhere. I think in my library but last night,I found a book (which I forgot I bought or somebody put it there in 2013, 😂Time traveled🤔.) The book is, "Modern Calculus and Analyric Geometry by Richard A Silverman. It is a paperback, very thick 1038 pages. I have been reading it all morning. I think you may have mentioned Silverman recently. It exlpains sets and functions the best I ever read. I want to thank you so much bc you have the best math and such great, motivating advice. You ARE famous to me. (I love your funny, short comedy movie. 😊 ❤
    5
  12950. Nice video. An interesting extension of the topic would be a video not about a book but about the math topics that can be studied without calculus as a prerequisite. A map of mathematics that shows the paths to the pastures of verdant variety beyond the calculus mountain range would be a valuable travel guide for immigrants to new lands.
    5
  12951. You are a great person
    5
  12952. What's recovering mean, not dying??
    5
  12953.  @TheMathSorcerer  idk how those people calculate those percentages, as oraz said, there is an anomaly as to if your probably represents "not dying" or not. Those people might be collecting a hell lot of data to provide us with information!
    5
  12954. Thank you so much 💜💜💜
    5
  12955. Can you prove onto by showing that the range and codomain are equal to each other? I read something like that on a book but havent seen anyone proving it like that.
    5
  12956. Hey, What's your opinion about Sir Ramanujan's ability in mathematics . Do you think it is possible to earn the skills of mathematics like him without a inborn talent?
    5
  12957. Thanks a lot !
    5
  12958. "I make no apologies for my Topologies, My Homotopy is what it aught to be!"
    5
  12959. Wow what a cool tool! I remember trying to memorize trig identities and this would've helped a lot. Thanks!
    5
  12960. I feel when people are saying that they're finding their self, it really means they don't know what purpose they have or even want. I agree with your statement, all too often the thought of finding one's self is merely a scape goat for avoiding what they've found. Life is what it is, and you are the perception you hold of yourself, be it limited or no limits. Great talk.
    5
  12961. 2nd
    5
  12962. happy new years sorcerer. came across your videos recently, love the motivation you provide!
    5
  12963. Personally think that for 2 hours 20 minutes, maybe most people do not have time to go through all of the questions, but I think that the exam is quite easy if considering spending 4 hours doing it. Most of the questions are pretty standard except for some of the question in the last page.
    5
  12964. I thought diverges means increasing without bound. In this case I would say the limit is not defined. Is this not correct?
    5
  12965. Really nice video Sir! I have a really important exam in a few hours. Yes, what made me prepare efficiently was the thought of that end result, which in my case was getting good grades.
    5
  12966. My teacher tried to prove instead that the difference between the inequalities is bigger than zero, I myself find that much more confusing so when I saw this, I was able to solve any problem of inequalities, thanks alot you are going to save my grades.
    5
  12967. It's easy to feel insecure when comparing yourself to child prodigies, but one has to remember that there are people in math's history like Stephen Smale who didn't excel at math past a certain level at first, and people like Gottfried Wilhelm Leibniz, inventor of calculus, who didn't start learning mathematics until he was older than most people are after finishing their bachelor's degree.
    5
  12968. "I just caught a whiff of ancient mathematics" 🤣🤣🤣
    5
  12969. All of your videos are so relatable and applicable to the everyday math classes and have a lot of value and importance for us to watch.
    5
  12970. Dude, please blink!
    5
  12971. Thank you for this video, it’s quite helpful! I think that other than choosing a major you enjoy, there’s the commitment that comes with it (number of years, money,...)which I believe is a much harder decision that many struggle with.
    5
  12972. I'm so glad this is what you're saying. I wrote a poem once. It was called, "I do not worship numbers."
    5
  12973. What I find best is what ward cheney describes, if you want a good applied mathematician, you make a pure mathematician and then you throw them applied mathematics and relevant problems. Many physicists in particular end up doing very high level mathematics without any background, being very sloppy and full of mistakes in the process, although practical I think it ultimately fails. Maybe this is why more modern mathematical physics books like hassani's are much more rigorous, but I find that their superficiality undermined their purpose. My question is, if statisticians are expected to know rigorous measure theory and stochastic calculus why are physicists not supposed to know rigorous manifolds and topology?
    5
  12974. Thank you so much for this message!
    5
  12975. I love your channel, and you do the community of mathematics a service by creating your videos. I often watch with my teens for videos appropriate for them. Thank you!
    5
  12976. What are your thoughts on separating College Algebra and Precalculus? Is it really necessary to go first through College Algebra and then through a Precalculus book? I was curious about the books you recommended on the Precalculus section, because some of them did not have the "Precalculus" word on their title lol.
    5
  12977. Hello sir! 😊 How are you
    5
  12978. I'm not a math book collector but I do love Math. In fact, I probably love math more now than when I was in school plus last night, I saw "A Trip To Infinity" on Netflix which was a really fascinating documentary which makes me love math more. Math is a tool and device that peers back the layers of reality and let's you understand the unseeable and unknowable. For all we know, the universe could be infinite and if not, the universe could be a kind of cosmic bubble floating in a much bigger - infinite Cosmos. Also, in an infinite universe there's bound to be copies of you, me and everyone else since there's only 10^80 particles in the universe and particle configurations are also transfinite. Not only that but maybe in 10^10^100 years into the future, the universe will reset itself and we'll be forced to live this life over and over again, ad infinitum.
    5
  12979. Thank you
    5
  12980. Wow, You explain it so easy. This sequence showed up in my exam of analysis but I didn't how to prove it. So, Thanks.
    5
  12981. Shouldn't you do Linear Algebra before multivariable calculus and differential equations?
    5
  12982. A lot of math people I see are elitist online, but I also see a lot willing to help others learn. It really just depends on the person.
    5
  12983. Wow! A lot of things in this video I haven’t considered. Very helpful advice because money and planning ahead in applying to graduate school is something that students think that will fall into their lap, but that isn’t true…. Great job in giving us a wake up call
    5
  12984. Hey, this might be so random , but you are truly the one who made me realize that it is beautiful to learn math by yourself.. thank you sir..
    5
  12985. Thank you so much!! Helped me understand this right before a quiz :D
    5
  12986. thanks bruh answered my question in the first 40 seconds
    5
  12987. Great video! At 2:14 when you write "- 0", how do we already know that our limit function is 0? (i.e. f(x) = 0)
    5
  12988. This is very cool, Math Sorcerer Sir. You are now delving into Philosophy of Mathematics itself, your introduction here is very nice.
    5
  12989. I bought the 4th edition of Spivak's Caculus about 12 years ago, and it's a great textbook. I'd say the only downside is that it only covers single variable calculus. (I know he also wrote Calculus on Manifolds, but I feel that would be more suitable for graduates or at least advanced undergraduates.)
    5
  12990. Thanks for encouraging students like us who demotivate themselves of not being able to put up a simple sum on calculus !! Because the most important thing is to give ourselves time to understand them better!!
    5
  12991. The University I went to has a policy to automatically expel students who cheat. That also represents the student losing a great deal of money. If a pupil took out school loans it has to be paid back....with interest.
    5
  12992. "It's a conceptual move, not an algebraic one" is so goddamn funny
    5
  12993. Hi I'm a programmer and I know Math knowledge can add real potential especially in problem solving Plz Recommend me a math book for computer science
    5
  12994. I've been waiting for something like this. I know so little about math, trying to find books like this is hard when I didn't even know the term pre-algebra (till now).
    5
  12995. First :)
    5
  12996. Is it really possible to look back and have no regrets ?
    5
  12997. Wow, you seem like a pretty cool teacher!! I f- love how u explain, you make series look so natural xD Greetings from Perú!!! (Yeah, the camera angle was a little rare in some segments but it wasnt a big deal)
    5
  12998. I’m currently at level 1 or maybe 1.5 since I have some experience with proofs. I’m not a math major but hoping to get to level 2 soon.
    5
  12999. First!
    5
  13000. Love from my side please give a heart sir......
    5
  13001. Math sorcerer took intermediate Algebra as an adult? Wow I thought that me teaching myself College Algebra and Precal in order to get to calculus made me behind. Great to know!
    5
  13002. I hate that I'm so dumb.
    5
  13003. Big time concepts in EE!!
    5
  13004. So the implicit solution is and acceptable solution if the problem doesn't require us to give the explicit one?
    5
  13005. I promise to put all your advice, in learning Mathematics, to practice. Especially this preset advice. I have never thought of this simple, but yet profound advice. I bet most of us here haven't thought of this 30mints patter of learning mathematics in such a manner. Please, Prof, do some video about Mathematics in another field of studies, especially Mathematics in Economics and finance. You will be shocked by how your video will be buzzy with likes and subscription. I am an economics Mphil student from Nigeria. Love all your content. I will never give up becoming good in mathematics.
    5
  13006. Sounds like the best life to me.
    5
  13007. Proud to be an indian
    5
  13008. Thank you!!! I was searching for it and your video is informative and to the point!
    5
  13009. You are doing a great job by sharing these valuable things. What's your view on Sal (Khan Acadeamy)?
    5
  13010. I was just confused Thanks for teaching me,helped me in clearing my doubt Thankyou very much ❤️
    5
  13011. Hello friend! For the geometry leg of my self study journey I am currently using 4 geometry textbooks to maximize my learning. I am working my way thru chapter 1 of each book (currently on book 3) before moving on to chapter 2 etc. Obviously there is overlap but interestingly there is a fair amount of diversity in topics taught and teaching approach just in the first chapter of each. I use the book you’re reviewing for when I’m out (getting car inspected, traveling, etc) and a textbook is not ideal. I blame you for the library of books I’ve amassed, well exceeding my mathematical grasp. Why do I have 4-5 calculus books, discrete math books, innumerable number theory books, proofs books with linear algebra on the way?
    5
  13012. How can I get your book, I am from Nepal😊
    5
  13013. very very very helpful
    5
  13014. Excellent. But the first thing to do to excel at math or any other subject is to develop a taste for it if one already hasn't. Mathematics has many branches and subjects with different levels of hardness which in turn varies from person to person.
    5
  13015. I love the fact that you give attention to every single comment: reading and reply to basically everyone. I know it's not easy, especially when there are hundreds of comments, but it's a really special and important thing you are doing. For me at least it makes me feel appreciated and listened, which is often needed during college/university and during those times in particular. Keep up the great work
    5
  13016. A few notes on the terms used in this book those were not translated properly or not at all. * Mir ("Мир") is a Russian word for both world and peace. * Mezhdunarodnaya (ending may vary) is a Russian word for International (adj.) * Can.Sc. (math) and D.Sc. (math) are Soviet and Russian degrees in science, 3rd and 2nd from the highest. When you complete your University studying, you may be offered to continue your education & scientific researchers on the university basis, becoming so-called Aspirant. Those who successfully defend their Thesis become Candidates of Sciences (Candidate of Physics and Maths Sciences, Candidate of Tech Science, etc), which is an equivalent of PhD grade. Ones who are very successful may attempt to write their Doctor Thesis and then defend it, acquiring second but highest possible rank. Works same as for Candidates, but cooler. And, finally, scientific superstars are invited to the Academy of Sciences of Soviet Union (Russian Federation), gaining a lifetime grade of Academic. This is THE Soviet/Russian (inter)national academy, which is the highest institute in the scientific & educational system, having right & power to disobey the highest level directives (Academic Sakharov, author of the thermonuclear bomb, was publicly banned in late 80s, but his academic status was never retired) * The first page in Russian is actually an original title page, which is required by Russian standards (always have both original & localized title pages) P.S. BTW, this is a very simple book, most of the other Russian university books are WAY worse-written and harder to understand. P.P.S. Calculus is a mandatory discipline for any technical university education, including multidimensional integrals. Usually it's a Calculus 2 class (2nd semester of the 1st year)
    5
  13017. you are entering in territory, about which you know nothing,confirmed by your book recommendation....
    5
  13018. It’s my first semester and it’s really difficult to allot time in practicing other problems/proof because my time was already consumed in answering problem sets and homeworks given in class... I don’t know how to survive with pleasing grades.. especially that I have a scholarship that requires a certain grade I feel like grad school is not for me and it’s too late to back out 😭😭 i hate that I decided to enter to grad school when I’m not really good in pure math 😭😭
    5
  13019. I needed this
    5
  13020. What about chemistry? Chem majors take calc 1-3 Diffy q and linear, physics 1-3 and then courses like physical chemistry that are very math heavy in addition to understanding how to interpret nmr data mass spec etc. any thoughts?
    5
  13021. I really love this type of videos. You should keep making more videos like these! I like videos 5 minutes or more in length :)
    5
  13022. would be cool to see the original in russian
    5
  13023. I've been watching all of your lectures and for me this seems to be difficult to grasp, I'll definitely have to keep working at it.
    5
  13024. I was imputing ! for everything every time. Thank you
    5
  13025. 😂😂 Imagine a person with an IQ of 300, someone who knows everything about math, physics, and astronomy. Now, imagine this person was born 30,000 years ago. No matter how brilliant their ideas, if they tried to explain them to a caveman, they'd be met with a blank stare. The caveman would say, 'What are you talking about? I need to go catch fish and gather berries.' And the genius would have to agree. It doesn't matter what era you're born into. If the society you're in is only focused on farming and getting enough food to eat, no one will listen to your advanced thoughts. Even if you're born in a country that values philosophy over science, your ideas will be ignored. Why am I saying this? Because that's exactly what my country, South Korea, is like. In Korea, people are more interested in arts and humanities than science and math. That's why we don't see many scientific geniuses emerging from South Korea. 😂😂😂😂 .
    5
  13026. thank u!! very helpful this is my exact math hw problem right now for calc 2
    5
  13027. My priority list: My life partner Math/physics Fun and silliness! Fitness Money 💰
    5
  13028. Calculus and Supplement to Calculus from Michael Spivak is my favorite mathematics book.
    5
  13029. This video goes to my favorites for that reflection on laughter and happiness
    5
  13030. You looks like Albert Einstein
    5
  13031. Do you have any edition of Operating Systems Design and Implementation? It's a very good book. It goes over some basic theory on an aspect of OSs in each chapter and after this (in each chapter) it goes over how the stuff in the chapter is implemented in Minix, and it references the source code (which is all in the appendix.) So you can read the source code to the operating system as you go through the book.
    5
  13032. Could you please create a course on proofs?
    5
  13033. "Go with it. Deal with it. And see what happens". Jordan Pettersson says also something familiar.
    5
  13034. Could you please make that integral technique, or give us a link?
    5
  13035. my brain went straight to U-sub but i’m pretty sure the two answers are equivalent
    5
  13036. This is so engaging 🤩
    5
  13037. 0:52 it looks like brown version hulk hand lol
    5
  13038. In regards to motivation and effort, that should be the easy part! Mathematics is literally the study of the interface between the universe and your own consciousness. If that doesn't excite you, you probably don't have a pulse.
    5
  13039. In the UK you can earn more as a Taxi driver or Postman.
    5
  13040. Domain, Range, and Extremes (min/max) coming to a theatre near you (if i remember the trailers right)
    5
  13041.  @TheMathSorcerer  true
    5
  13042. We had this very book at our school! I personally always liked it!
    5
  13043. I thought I was obsessed with math until I saw this video 😅
    5
  13044. Thank you so much for this video!
    5
  13045. Progress ends when you spend all your time reinventing all the wheels.
    5
  13046. omg thanks so much
    5
  13047. I cannot find these in my country. :'(
    5
  13048. This is exactly how I read my books!
    5
  13049. Love your content! It would be great to see a video on your personal methods of coming up with good questions to ask speakers in general. Like those really good questions that target something meaningful and insightful.
    5
  13050. Thank you for making this :)
    5
  13051. sir at the last example is it y_p=......+B.cos(2x) or B.cos(4x)
    5
  13052. I have zero respect for people who only give it 100% To earn my respect, you must give 110%.
    5
  13053. too real
    5
  13054. Great commentary! Thanks Prof!
    5
  13055. When you get down to it, all math is just mystery of the basics. Math isn't hard, it's just taught wrong from the beginning. If the basics get reinforced by a good teacher early, math will feel easier. If not, it will feel like a struggle 😪.
    5
  13056. Brain, Pencil, Paper... And a good LaTeX editor.
    5
  13057. I’m taking an advanced intro to real analysis this fall, for me I still think linear algebra is harder compared to at least calc 1 and calc 2 but I’ll compare my advanced linear algebra 2 to my real analysis course this fall and edit this comment in like December.
    5
  13058. I am an Indian student n I am currently studying maths in undergraduate and I don't find maths hard we have linear linear algebra ,real analysis, vector calculus ,MVC, group theory , differential equations partial differential equations , multiple integration , numerical analysis,complex analysis and some other topic
    5
  13059. I just thought that you could do math book tierlists. For some subjects there are so many options that one gets a bit lost, and you have so many books that you could do amazing comparisons!
    5
  13060. Mathematical jeff bezos
    5
  13061. Thank you so much!
    5
  13062.  @TheMathSorcerer  when people say that especially when I’m struggling I just get demotivated because I’d think I’m not smart enough for it. Thank yoy
    5
  13063.  @TheMathSorcerer  Yes. I hope i don't bore you, but let me explain: In Spain, in order to enter in university, students usually take 2 years of an education programme called bachillerato (for 16-18 year old students, so I think it is like high school) and also a very big test called EvAU. So, depending on how you do in bachillerato and EvAU, you obtain a rating over 14. In some degrees, universities accept few people, and since in Spain the people who want to do math is increasing, the minimum rating is like around 12. (Let me tell you that the student average rating is 6/14). I scored 11.17, and just for a few decimal points I was not able to enter at any of the great universities. But my last hope was UNED, which is "Universidad Nacional de Educación a Distancia" (I think you know Spanish well, so you get the idea by the name). The uned does not require more than a 5 to enter and it is also a uni for retired people (so in my class there are people who have my age, around 18, but also people with 60, 70 and even 30 or 50). Basically, it is like: you buy their textbooks and you are on your own, with an exception that twice a week there is a class (but most of the teachers don't really prepare classes). We have a lot of subjects: this year we are doing real analysis (1 & 2), linear algebra (1 & 2), discrete mathematics (which are 2 subjects: one for number theory, graph theory and combinatorics and another one for logic, sets, relations and functions a little glimpse of algebraic structures and number fields), physics, vector analysis, statistics and geometry (everything on a definition-proposition-proof based structure unless statistics I guess). They upload some videos online too. So I am missing the experience of a normal university and I have to work with the resources I have. And thankfully, you are one of those: you are helping me a lot with the advanced calculus playlist and you give me moral support when you do these kind of videos. I hopefully expect that next year I could move to Lund's University in Sweden. If you kept reading the comment and made it to get to here, thanks again!
    5
  13064. Another delightful book I recommend for you to get are the "History of Greek Mathematics" by the Loeb Classical Library as well as the Oliver Byrne edition of Euclid. The former is a compendium of very important results in Greek Mathematics and demonstrates the Greek methods to obtaining that. It's very nice not only from a mathematical but also humanities standpoint to see how Greeks approached reality while the math is still the same. The latter is a version of Euclid's Elements except the letters are replaced with colors.
    5
  13065. I really needed that ... If you believe in me , then I got to believe in myself too. I'll do better than last time !
    5
  13066. I can relate to that feeling. When somebody asks, what I did on weekend, my answer is that I learned statistics. They know that I am not a student, but I just like it. It is funny to see on their faces, how sorry they are for me. 🙂
    5
  13067. I think the only time I struggled with trigonometry was when I had to graph the transformation of the reciprocal function
    5
  13068. There is no way to guarantee win/loss percentages. So none of these types of things work, except by chance.
    5
  13069. Calc 3 IS the hardest of the three. Calc 2 is just Calc 1++. Calc 3 is way more abstract.
    5
  13070. Erwin kreyszig was "the" go to book in our undergrad electrical engineering course (for all the maths part//courses) .We also have a low priced edition(India) here, so its quite affordable.
    5
  13071. First
    5
  13072.  @TheMathSorcerer  now I graduated from EE, but every time I remember this explanation I feel irritated!! I was 15 year old 🥺
    5
  13073. Thank you very much sir😇🇿🇲
    5
  13074. yes keep going is key, daily exricise is very important
    5
  13075. Thank you, very helpful!
    5
  13076. Is "Contemporary Abstract Algebra" by Joseph Gallian good for self-study? I'm interested in learning this subject on my own before I decide to take a course on it.
    5
  13077. Nice intro
    5
  13078. Just as an example of another unusual and interesting book I saw in 2009 at NYU: "Geometry with an Introduction to Cosmic Topology" by Michael P. Hitchman. 🙂
    5
  13079. you helped grog with homework
    5
  13080. I find peace when I see that there are plenty of books on Maths/Phy on different topics created by legends which will keep me busy for my entire life and I would love to sit in the chair with pipe ( like Einstein ) reading some reasearch paper or thinking in my own world of maths and physics understanding the reality of nature
    5
  13081. Thanks 🌹
    5
  13082. how many videos did you upload today wow
    5
  13083. Nice.
    5
  13084. Thank you, needed to hear this :)
    5
  13085. As opinion on the actual video, the military must be rigid and strict for obvious reasons. Perhaps if the current day Navy was as precise and strict as it was back then they wouldn't have the record number of preventable incidents that they have today. The second class math may be referring to petty or warrant officer second class coursework. There is a lot that can go wrong on a ship at sea so applied mathematics as seen on that test would be required. Imagine being in charge of the machine/engine room on a destroyer or aircraft carrier at sea during an intense operation like during the cuban missile crisis of 62'. Referencing the 1959 date on the test for the time period. So ya, hardcore would be the order of the day at sea and when stuff goes awry you had better know how to work out a often complex solution asap!
    5
  13086.  @Wandering_Horse  oh those mistakes have always been made, they are made known more frequently in this age of information.
    5
  13087. I have a question about self-studying math. When studying math, it is encouraged to do some problem sets and most books have problem sets at the end. The issue is that the solution is not always available so you do not know if you got the right answer or not. How do people deal with this? (Note: when I say 'solution', I don't necessarily mean step-by-step but just the final answer, so you know if you messed up) This is mainly applicable to non-proof questions, where you have to calculate a numerical answer at the end.
    5
  13088. This helped me with my clac homework so much. Thank you!!
    4
  13089.  @TheMathSorcerer  Excellent video Thank you.
    4
  13090. thanks thanks thanks thanks thanks thanks thanks thanks thanks thanks thanks thanks thanks thanks thanks thanks thanks thanks thanks thanks thanks thanks thanks thanks thanks thanks thanks thanks thanks thanks thanks
    4
  13091. Why isnt the inverse of a in the cyclic subgroup generated by a?
    4
  13092. This is 4 months later, but: I believe a is its own inverse, since a*a = 1
    4
  13093. =e, sorry.
    4
  13094. @The Math Sorcerer  Hey i know i have not gotten back to you when you asked how long i have until i am finished. I promise i will get around to it. Here, i just want to say the way math is taught at universities, especially at places that are know as research institutions, the classes are trying to pick out the Olympic athletes, say Olympic swimmers. The thing is, most people just want to learn how to have the mental stamina to do long distance swimming or just to swim well.
    4
  13095. I am 40 and in 3rd year of computer science bachelors and going to have masters in data science too.
    4
  13096. Man, I couldnt keep on watching after you said the author was a nazi
    4
  13097. This is awesome advice, Math Sorcerer!! Love it!! Thank you for producing and posting this video!! Happy Holidays, Math Sorcerer!!! :) :) :)
    4
  13098. Can you do a video on how to self study advance mathematics efficiently?
    4
  13099. if a hurricane didn't stop you from learning, i guess i can't let a pandemic stop me
    4
  13100. Hahahahaha yo, y’all are lucky, taking abstract algebra real analysis, probability and a proof course and everyone except the last prof is killing us with the most work...lol...feels like they’re trying to keep us inside
    4
  13101. Man, you do an awesome job of explaining, i couldn't figure it out until you cleared up how both vectors were parallel
    4
  13102. So, ‘Gauss’ rhymes with ‘house’ …
    4
  13103. A rest before the test? Idk.. very sus
    4
  13104. Plz make videos on grade 11 maths and fundamentals and videos like normal math fact
    4
  13105. The Third Step: 0(x) + c (because paranthesis are not needed)
    4
  13106. The password to my Youtube account is required to be much stronger than the 4-number-only password that can be used to withdraw my life savings.
    4
  13107. I am a junior at University of Houston in Texas. This is my second bachelors after majoring in something else. I agree with you. There are so many youtube videos of people doing math way in their late ages, and they seem to do it with a big fat smile. For them, it's an exercise of the brain. It's an exercise of their creativity- a way to express themselves. I really appreciate these math videos you share on the internet. There's not enough higher level math courses being broadcasted on Youtube. I also want to note that I can refer to these materials at anytime I wish. Electronic textbooks bought are gone after the semester ends.
    4
  13108. Awesome energy 👌💯
    4
  13109. Great video! How about a video talking about got to get started into math for people of other fields (economics...) . Maybe some recommended books or any tip
    4
  13110. Thanks Im already a subscriber I found this video on youtube for my calc 2 class appreciate it
    4
  13111. Do you have linear algebra in your Udemy course?
    4
  13112. That slightly shy student look captured perfectly! I wonder if this is because you've been there or it's because you see them daily.
    4
  13113. thanks
    4
  13114. I disagree. If you cannot multiply in hour head, you need to remember your multiplication tables. If you cannot do something as basic as long division, you need to do a bunch of problems in this area. If you fail to do this, you may learn your algebra subjects but your answers will be wrong far too often. P.S: I am disagreeing with a professor. It is like I never left. OK. How can you forget long division? I remember how to calculate the square root, something I have not done for decades.
    4
  13115. My grandma said I'm dead smart 😎
    4
  13116. Nice
    4
  13117. THAT WAS A CRAZY U SUP HOWLY MOWLY PLAY OF THE CENTURY
    4
  13118. Great advice! Good morning Sir.
    4
  13119. Hi. Why are you making this type of video? It's quite basic. Are you enjoying making this or do you want to help someone with this?
    4
  13120. Keep it up
    4
  13121. Can you do a video on probability of dying from infection given given different age ranges?
    4
  13122. Your fan from Sydney Australia. Do you provide online tutorials? Happy to pay you
    4
  13123. This is a really interesting video to me. Super helpful and very kind. It’s interesting to me because people have often told me that the way I work is wrong. I am told I should always prioritize what is due first, and should complete those tasks before any other ones. This video is very helpful because it provides an alternative to that. It shows me that there is a reason why I instinctively jump to different tasks when I get stuck, and tells me that’s not a shameful way to go about things. In fact, if I accept it, it can be helpful for resolving the task at hand! Thank you!
    4
  13124. I used Leigthold's book in my first year of electronics enginnering. Great book. However, our calculus teachers considered the exercises and problems "easy", so we had to move on to books containing more difficult or demanding exercises to be prepared for the exams. Alas! What great memories.
    4
  13125. Congratulations! I'm looking forward to reading it. And Merry Christmas!!!
    4
  13126. The soviets produced brilliant mathematicians.
    4
  13127. Thank you, professor! The examples were beneficial, and now I know a quicker way to do partial fractions, thanks to you 😊
    4
  13128. There is a solution book, if the exercises are too hard and you spent a fair amount of time trying to solve them, look the solutions.
    4
  13129. Impossible is enough.
    4
  13130. Thank you for the advice
    4
  13131.  @TheMathSorcerer  WAAAOHHHH!!!! YOU ACTUALLY USED THE RAT PUPPET STICKER XDDDDDD this is so cool!
    4
  13132. will you be posting 6.3 solutions about singular points?
    4
  13133. It sucks
    4
  13134. Insightful, but I always thought that the primary consideration for any PhD program was the research being conducted by the faculty member that you wanted to study under? Am I incorrect?
    4
  13135. How much does taking multiple graduate courses in undergrad affect your chances of getting into a good graduate school. Would you have to retake them once in a graduate program?
    4
  13136. Ah, seeing more Physics texts. Any Chemistry book recommendations?
    4
  13137. Nothing for me :/
    4
  13138. thank you bro, i was stuck, really appreciate this...
    4
  13139. This was the textbook for the first computer programming class I took in college. I did not have any previous programming experience. So the course for me, and the structure of Scheme itself as a language was a real struggle for me. I would later teach myself a lot of the programming I do now in my career, but this course set me back a few years.
    4
  13140. 1:31 is the best part🤣🤣
    4
  13141. is this what first year undergrads take at usa?
    4
  13142. The Math Sorcerer wow, this October I started university in Spain and we have to study all of that very rigourously (like 800 pages book with epsilon proofs for limits of sequences, functions and even some topology of R; we start from 0, like, constructing N, then Z, then Q and finally R and extended R ) for this year except Lebesgue theory. I am really liking it: challenging but worth understanding. So calculus and analysis are different? What is calculus then and what do freshman's in America take? Thanks in advance, I enjoy a lot your videos!
    4
  13143. Thank you very clear and helpful
    4
  13144. Does anyone's notebook look like that? With my handwriting, I can't imagine myself making one like that.
    4
  13145. Ramanujan is my role model 😄😄
    4
  13146. ngl I liked the sharping pencil mid video part. Great video!
    4
  13147. Goodwill warehouse, 5 books for 99 cents. The resellers like the latest editions as they are more valuable. For my personal use I love the older cloth bound math books. It's hit or miss, but I will at least find one great math book everytime I go.
    4
  13148. A strong body is a strong mind. Stay Hard ❤️🔥👊🏽
    4
  13149. Yes, balancing priorities is very important
    4
  13150. Yeah, but is it thicker than the total of _Art of Computer Programming_? 🤨
    4
  13151. Love your videos! You’ve really inspired me to take tougher courses at my highschool and I’ve really taken the time to study at home and even do some math in my own! Looking forward to where life takes the two of us, hopefully I can learn all that you have learned in so brilliant a way! Thanks again!
    4
  13152. Thank you bro it is a lot more fun when you don’t have a teacher in front of you and desire the subject.
    4
  13153. Number theory, but usually this problem is an exercise for proof by contradiction.
    4
  13154. I love all the content creator out there. I pick the ones who help me to get rid of my flaws, who help me to grow and this is so awesome. Thank you for beeing one of these creators.
    4
  13155. Sir can you upload the video on Complex number and it's properties. How to approach the problems based on Complex numbers?
    4
  13156. Thank you Professor TMS, what great advice
    4
  13157. This s a great book. I read mine multiple times, and took time to memorize the summary pages. Also you should review his other great books: Mathematics and Plausible Reasoning. There's 2 volumes. It's a book on how to conjecture. Back to How to Solve It. The greatness of this book to me is in the prose and how he times the prompting of your mind to open and grope for dimensions you were not aware of and not so much the content of what he says in particular. I think his book is tailored to technical problems expressed mathematically. But, outside of that, its effectiveness diminishes. I've had more success and much less stress to think about problems like a biologist studies organisms in the lab and in their habitats. I get more mileage reading popular books on ecology, like "Why Big Fierce Animals Are Rare" The best way I've found so far to solve problems, it to solve lots of problems *on your own*, struggle with the problem, solve it on your own. Then go back and see what the solution is or see part of the solution, and solve the problem in another way. Anyways, thanks for the trip down memory lane.
    4
  13158. I needed to hear this, thank you. Math has never come easy for me and I begin calculus tomorrow.
    4
  13159. Ah, 1968 I was in high school taking plane geometry and getting ready to sink my teeth into algebra II the next year.
    4
  13160. Nice video
    4
  13161. Surprised I got this right tbh
    4
  13162. Nice, easy to understand. Thanks a lot sir!
    4
  13163. I'm from India
    4
  13164. Thank You for restoring my faith in humanity.
    4
  13165. Those videos are my favorite
    4
  13166. Thanks a bunch! very helpful!
    4
  13167. The cover looks very easy to fix before it completely falls apart, the rest of the book is in better shape than I thought it will be and the bindings are good.
    4
  13168. You are a great teacher and I'm glad that I found your channel!
    4
  13169. I love these trips through old math books. The typefaces, the paper quality, the contents, the wear and tear, the sizes and smells. It's a really cool wrap-around experience. Thankyou, Math Sorcerer! 👍
    4
  13170. I use both the "Big FAT Note Book" and 20 Minutes books to home school my kids. Very easy for beginners.
    4
  13171. Love for you , mathematics and physics from Bangladesh
    4
  13172. There is also another good book called Topology Without Tears. It is available as a free PDF download from the author's website. To give a good background in the analysis needed for topology, I recommend Real Analysis: A Long Form Mathematics Textbook, by Jay Cummings. Cummings is chatty and he elucidates in an intuitive way. His book is not the typical and unimaginative 'Definition, Theorem, Proof' analysis book.
    4
  13173. Would you recommend Spivak calculus or Apostol Calculus?
    4
  13174. Great video! You have no idea how much this helps!
    4
  13175. What really made me learn math really quickly is watching videos that visualize mathematical concepts. I think everyone should do it this way because by evolution we are visual creatures. A really good YouTube channel is 3Blue1Brown. He does an excellent job at visualizing things.
    4
  13176. Inspiring ❤
    4
  13177. it's good to note too though that graduate level math isn't overly convoluted. Like you're not expected to write proofs a specific length just for the sake of an exorbitant amount of word count. Graduate level math work is harder merely because the topics covered is just a lot harder. performing integration in calculus, vs understanding what is going on in the riemann integral vs understanding the short comings of a general measure and the purpose of the lebesgue measure for example. There is just a level of mathematical maturity you must gain. The gap from calculus to real analysis is unreal, but the gap from undergrad to graduate level analysis is a whole different level. Then functional analysis is just even more in depth. Not because functional analysis gives more hw, but to understand what is going on in the dual space just takes thta much more effort than memorizing integration methods. One of the things that have served me well as a verrrry mediocre student is taking more classes than was required for my undergrad. Don't treat the bare minimum as a point of relief, instead treat it as an opportunity to now take any math course you wish.
    4
  13178. Excellent advice. Thank you :)
    4
  13179. My fav calculus book and the one i literally keep by my bedside is Calculus early transcendentals by Tan.
    4
  13180. As a mechanical engineering student, I can't really say it's that hard. In fact it's more easy because the content is more enjoyable, it's mostly some math plus physics on specific contents. However I do love to learn math, because without understanding equations in the content, I can't understand the material. I love to deal with integrals and diff eqs. I plug the music and enjoy it :)
    4
  13181. thank you for being so clear and straightforward!
    4
  13182. In Sovjet Russia. You don't study maths. Maths study you
    4
  13183. I'll just stare at the formula until it gets etched in my memory like an afterimage and then I'll recall 🤷🤷
    4
  13184. I just recently borrowed this book from Open Library.
    4
  13185. One of the books i thought were Assassin's Creed the disc
    4
  13186. Tq sir. i was strugling for getting anwser. Now i get it.
    4
  13187. Please, make a video about the book What Is Mathematics, by Richard Courant. Haha
    4
  13188. my favorite math excerpt was applying statistics to optimal magic deck building strategies.
    4
  13189. Great video . Thanks sir 😊.
    4
  13190. We usually dont work on math problems because we feel we arent able to do and I think the problem is there. We have to handle our problems to overcome them
    4
  13191. the only thing which increases on division is only knowledge and you share your knowldge with us that is very very appreciative....❤️❤️❤️❤️❤️🙏🙏🙏 love from india ❤️❤️❤️❤️🙏🙏🙏🙏
    4
  13192. thanks!
    4
  13193. the only guy on youtube who makes math intresting!
    4
  13194. How do you remember so much math?! Im going into my senior year of college and im looking back at what ive learned and i sometimes struggle to remember concepts from cal 1 back from freshman year. Im always amazed at how much my professors know and im like how can i be so knowledgeable!
    4
  13195. awesome
    4
  13196. praying my code will work sees this video cries Jokes aside, I appreciate this; need the motivation.
    4
  13197. Your enthusiasm for this book is contagious. I love it! Also, I too love the smell of a good book. ❤
    4
  13198. dunno why i watched this
    4
  13199. :face-red-heart-shape: Thank you for inspiring my love for math
    4
  13200. Short answer:No. Long answer:yes.
    4
  13201. Can you make a video at some point about the 'why' to study math as a self learner who's already out school? Motivation but more about the 'why'
    4
  13202. Beautiful!
    4
  13203. Of course baby rudin
    4
  13204. Please keep making such type of videos ,u motivated me and I m an economic student but I love doing maths problem ♥️ never give up
    4
  13205. Outstanding! Thank you!
    4
  13206. What’s value of v
    4
  13207. E
    4
  13208. Epicureans are superior to the Stoics. Life is short and objectively pointless, so enjoy it
    4
  13209. We love you😭❣️
    4
  13210. fuego vid my guy
    4
  13211. This is what i exactly needed to hear, thank you.
    4
  13212. Very clear and helpful and also pleasant (ie, the explanation was nice because it didn't hurt my head too much, perhaps partly thanks to the different colours used ) guide to this difficult subject. I'm starting to get the hang of it at last, thanks.
    4
  13213. It's good to know the book has relation to the movie stand and deliver, a great movie 👍
    4
  13214. Greethigs professor, that's a great council!, i fail a lot and that already seem funny to me 😅
    4
  13215. Thank you, Professor
    4
  13216. I love your channel and I'm recently graduated engineer .
    4
  13217. I love solving definite integrals where the integrand is a floor function. They involve logic on so many levels.
    4
  13218. I'm just taking Calculus I, and I find this very interesting.
    4
  13219. Cool video. About me, I did online school to finish my high school before enlisting as an infantrymen. Did 4 years active duty with a couple deployments, then I thought I wanted to be a doctor. I started prepping for pre-med and got into a not so terrible public university. I worked super hard, took 18 credits each semester with all A's miraculously, and realized the only classes I really liked were physics and math and I hated chemistry. I then decided after some reflection to follow my interests and worry about career paths later. As you said, I just decided to do it for the love of the subject. A bit later I got accepted to one of the best STEM schools in the country, made my transfer, and now I'm a junior majoring in math with 2 minors in machine learning and physics with the full intention of pursuing a PhD for mathematics. Sometimes I look back and think about what the past me would think of my current self. Personally, when I first started college, I had the impression of myself that I could never be someone who could excel in math or any related field. I thought it just wasn't for me because it was too hard and I wasn't naturally apt for it. Now, I couldn't imagine doing anything else.
    4
  13220. Did logic and reasoning come naturally to you as a Computer Science person, later switched to maths?
    4
  13221. Thank you so much. I needed this ❤️🙏🏼🙏🏼🙏🏼🙏🏼🙏🏼
    4
  13222. "Pink Panther" Physics
    4
  13223. If, you're advanced, it doesn't mean you're better...
    4
  13224. You should mail that Lobster thing in and see what happens!
    4
  13225. lol i actually got this book recently just because the cover is cool, but it's way over my head. maybe some day.
    4
  13226. It's a wonderful book! :)
    4
  13227. I use to hate math, and till recently I am loving it, never thought that relationship would happen hahahah. Love the Pauling book by a true scientist. :)
    4
  13228. I dont know why Youtube recommended this to me, but this guy looks like Newton XDD ?
    4
  13229. I totally expected something from Halloween for today's video... side bar; last night handing out candy, everyone got some candy (younger ones got more) but everyone had a chance to win 10 pieces of candy (the good stuff) if they could answer a math question. If they agreed (they all tried) I'd ask them what they were learning in school and give an easy question on that. Unfortunately, fractions for 6th graders is still a problem... 1/2 * 1/2 went unsolved by every age group (adults too) :-/
    4
  13230. Oooo, music! Have you listened to Joy Division or The Velvet Underground? Sorry for not mentioning mathematics and, instead, going on a sin/cos.
    4
  13231. Nearly 3 years into my degree, very decided in my path. Why am I here still? 😂
    4
  13232. So great
    4
  13233. Hello professor, thank you so much for the differential equations playlist! I used it and transferred from a point where I had no clue what DEs are all about to a point where I can tackle any problem I face. My course syllabus tho had more sections than you taught and if that’d be covered, it’d be amazing!
    4
  13234. What in the world -- so simple! Thank you!
    4
  13235. Great vid!
    4
  13236. True, I wish more books were designed for self study. Not having solutions to "keep students from cheating" is silly.
    4
  13237. 7-7:30AM?!?! I can't even wake up for my 12pm class and I'm super thankful my math professors don't use lockdown browser and actually gives us a few hours compared to an hour to do an exam 🤣😅😭
    4
  13238. Love from nepal 🇳🇵
    4
  13239. I really thank you for this video
    4
  13240. im just curious how many hours per day do you generally do math related works? and what is it split up into? like do you just pick random subjects to practice? OMG what if, ok hear me out, you have a freaking jar with a variety of really random subject matter questions and you pick a random one and see if you can solve it without being able to touch up on the subject
    4
  13241. My recommended curriculum: Arithmetic, Geometry, Algebra, Trigonometry/Pre-calculus, Calculus, ...
    4
  13242. sweet torture the one that waited for me
    4
  13243. Sir can you please upload on real analysis 1
    4
  13244. Good video
    4
  13245. I’ve watched three of your videos in the past 10 minutes for these three math problems. U have helped so much. Thank you bestie!!!,!
    4
  13246. I think you're onto something here. I had a similar experience to that indian kid, but with the english language (I'm portuguese). When I was about 7 an english lady gave me some basic english lessons (colors, alphabet, etc) and about a year later my parents gave me an english course with cartoons and exercises. I couldn't understand them (everything was in english, with no translations) but I still loved watching those cartoons all the time. Over time I caught many words from the context and stuff like that. I also watched lots of Warner Brothers cartoons, and those had subtitles, but I think they also helped my brain assimilate the english language. Fast forward to the 5th grade and onwards, which is when we start learning english at school here, many of my colleagues had trouble in english classes, while I always had really good grades with very little effort. I just paid some attention in classes, I hardly ever studied for exams. Our grades are from 1 to 5, and I had 4s in english. And the only reason why I didn't have 5s, was because I often skipped homework, I was always talking and playing around in classes, etc. Meanwhile I was average/struggling in every other class. Especially in Portuguese classes, ironically. At the same time I think this also made it quite easy for me to learn other languages. I seem to learn them quite easily, and I have no issues with pronunciation whatsoever.
    4
  13247. Proof writing is my favourite part of mathematics Please upload more videos on proofs :)
    4
  13248. 14 views 14 likes 😎
    4
  13249. Excellent explanation. Thanks a lot.
    4
  13250. I like the way it was broken down so absolute beginners can follow. I’m not a beginner, but I like user friendly stuff.
    4
  13251. Being conscious is a huge accomplishment in itself. Be grateful.
    4
  13252. Professor, please make a video on how much topics of Algebra we need to cover for earnings from Math from sites like Photomath etcs
    4
  13253. Thank you for this. More math Proof style videos, please!
    4
  13254. Superb Explanation Sir. Thank You Sir.
    4
  13255. Thank you so much, you just helped me so much with my statistics homework!
    4
  13256. 2 is my max
    4
  13257. Absolute mad man
    4
  13258. Vary satisfying to see 👀 It all collapse so neatly.
    4
  13259. I am studying math with programming (algorithms) every exercise I work on it, I repeat it step by step with whiteboard or pen and paper example of writing an algorithm to calculate digital root after completely undErstanding the problem mathematically, imagine every math problem is converted to step by step algorithm and based on problem solving steps of an algorithm, your level will skyrocket. The most important is studying from beginner to complex level gradually and do not jump to the next level if you are not confident of your self. Studying math and algorithms together helps you to pay attention to details and this is the key to understand math.
    4
  13260. I think that I prefer the more positive videos that instruct how to pass.
    4
  13261. I used the 6th edition of this book in high school. The memories of dragging that thing around came flooding back 😂
    4
  13262. thank you
    4
  13263. Took 4 graduate math classes last semester. I aimed for 6 undergraduate math classes once, but some necessary override wasn't allowed lol
    4
  13264. You are such an unbelievably good teacher. Probably a reflection of how mathematically skilled you are!
    4
  13265. Somehow this year I found out I love Math!!!
    4
  13266. Legit the perfect video for me, thank you for all your vids.
    4
  13267. Thank you explanation was really clear. Do you have any videos about damped motion DE?
    4
  13268. Same here man. I would love tips for studying math as well.
    4
  13269. I am a business student. After watching this, I feel to study math.
    4
  13270. Thank you for sharing this great curriculum. But I'm curious about how long it would take to master this course step by step. Let's say I can spend 3hours studying Math each day, and during this time, I am fully focused on studying Math only.
    4
  13271. How to learn advanced engineering math?
    4
  13272. Not difficult, but I like you dude. Thus you have an extra like haha
    4
  13273. Thank you... You've explained it brilliantly!
    4
  13274. This helped a ton! Thank you for this vid!
    4
  13275. Maths is either right or wrong. My mum used to say that and that maths would be the easiest subject to score 100% in because you are either totally right or totally wrong. Of course when I first heard this as a kid I was thinking, "Are you crazy?" Today, I tell all the students that story of my mum saying that when I teach them proof by contradiction, the negation and contrapositive.
    4
  13276. Is there something like this that's strong enough to power an Air Conditioner? I'm asking for an elderly friend who lives on solar power alone.
    4
  13277. I recently changed my major to CS, now im freaking out about the math and science stuff.
    4
  13278. Very helpful and informative lecture! i was having a difficult time understanding Laplace transforms till I saw this vid.
    4
  13279. Thanks
    4
  13280. Great sir🙏
    4
  13281. Thankyou soo much😌🔥
    4
  13282. Congratulations Amy! I didn't know about Artificial Life, I'll take a look
    4
  13283. You are my inspiration, Ma'am. Thank you for sharing your great achievement with us.
    4
  13284. 2019 and you saved yet another life. You are the real hero !
    4
  13285. Is this using distributivity to prove distributivity??
    4
  13286. Yess I know exactly what all this stuff means ... lol
    4
  13287. Its a constant. When we derived it always equaled zero.
    4
  13288. Math is just as valued as computer science in the same fields.
    4
  13289. Sir, you really know how to motivate people! You have awesome, inspiring videos. Keep up the good work!
    4
  13290.  @TheMathSorcerer  Yeah, I know.
    4
  13291.  @TheMathSorcerer  I learned from that experience. When interviewing for a high school teaching position, I kind of got that tactic again. The interviewer asked about AP Calculus. I indicated that I enjoyed calculus and could teach it, but that I enjoyed teaching all aspects of math. Then I preceded to talk about the importance of prealgebra and algebra I. (What I would actually probably be teaching if hired). I did go to an interview once at one of the local community colleges. I didn't get the job. I called the math office and asked why. The math secretary looked up my file and told me it was because I had never taught differental equations. I asked her how many classes of differential equations did they teach. She said one. I then asked how many teachers taught it. She said one guy. I asked, if hired, what would be the chances of me being assigned to teach differential equations. The answer was slim to none.
    4
  13292. thanks
    4
  13293. Literally me. (I bench and study math (Comp sci major)).
    4
  13294. Thanks very much brother it was very easy but I was making it difficult in my mind
    4
  13295. It helps
    4
  13296. Lifesaving! Thank you!
    4
  13297. i cracked at the cheesy puffs
    4
  13298. Although being a mathematics professor speaks on its own, just out of curiosity, I wonder what is your IQ score exactly? You seem like a friendly and genuinely good person, one who deliberately humble himself down in order to uplift others around. All that leads me to the conclusion your score isn't all that "average".
    4
  13299. Very good explanation 👍👍
    4
  13300. I’m a bookworm like you.
    4
  13301. Yes sir, well said. As old as I am I still push myself to try and grasp the higher mathematical concepts...and even if I fail I can always say I tried. Curiosity is a wonderful gift, and I am in awe of all the great mathematicians who have gone before and to whom we owe so much.
    4
  13302. Great flowing, thorough yet succinct discussion.
    4
  13303. You're a great guy to have in my feed, I graduated back in march, now I am studying for actuarial exams and self studying group theory on the side, it's great to have this type of content when I feel like crap and just don't want to look at another summation or whatever. Thanks so much
    4
  13304. your face is like newton
    4
  13305. The cover is very beautiful, no wonder you became a math sorcerer
    4
  13306. And the bigest fact that even there's books are 1000$ but you got the internet.PDF is your life saver 🤣🤣.
    4
  13307. This book has been in my library since it first came out - next to Computer Networks by Tannenbaum.
    4
  13308.  @TheMathSorcerer  One thing that was frustrating for me as a student was when I went to the library to get a supplimental explanation for a concept that I was having trouble understanding from the lectures and the textbook, I found that other authors would give "equlivant" definitions of the same concepts. What was a definition in our textbook was a theorem in the library book and vice versa. A => B => C => A. We go around in a circle. Pick your definition, A, B, or C. Then prove the other two.
    4
  13309. I'm a physics (undergraduate) student , looking for a modern differential equations textbook . what do you recommend ?
    4
  13310. "That's so easy that even by 8 years old son knows how to do it" Emili Elizalde
    4
  13311. I need to become better
    4
  13312. Thank you so much for giving us those advices to help us succeed in mathematics.💕💕💕💕💕💕💕💕
    4
  13313. So true !! Thanks for sharing
    4
  13314. Great video, it helps a lot!
    4
  13315. Really interesting question and answer. I did not expect the answer, as I feel math papers or even math in applied fields (e.g. financial engineering) are often very terse and very brief, with almost no wordy explanation. Great video.
    4
  13316. yp is a value y can take, so we plug that into the DE, we plug in its derivatives as well. Okay honestly, this isn't hard, I'm just psyching myself out.
    4
  13317. Math is a good friend. It keeps our memory ability alive and well.
    4
  13318. First
    4
  13319. Richard Feyman took accountability his educations back in high school when they didn’t offer calculus. So he self taught of it.
    4
  13320. Barron's Trigonometry has a chapter devoted to spherical trigonometry.
    4
  13321. Are you Jeff Bezos?
    4
  13322. Oh I wish i was there to unbox that!!!😋
    4
  13323. "Me and GB, we ain't never gonna confess. We cheated at the math test." -- A. Cooper
    4
  13324. This was brilliant! Thank-you so much for honouring this remarkable mathematician.
    4
  13325. Oh! I'm doing Udemy! I'm going through Kristen King's Calculus II. Well, I do her Lessons as a start and then I go and do the exercises from the books. There are some things she forgets. Like Steward Calculus in the Irregular Integral section talks about how 1 Over X to the Power of P, well, if P is greater to or equal to 1 then it Converges. That is not only useful for that precise from, 1 over X to the power of P, but it's extrapolatable to any Rational Construction with that kind of Power relationship, and to rational expressions with exponential denominators because you know they have to push to be equivalent or greater than a Power. But, yeah, you can't beat the Textbooks for providing a great many exercises. Oh, for answers, well, you can't beat having a good Graphing Calculator. I thought TI-84s were okay but when you start running graphs comprised of a number of functions, you know, F5(F1-((F2/F3)^F4) my old pre-2012 TI-84f would slow to a crawl, so I got one of the new TI Nspires. Those things are fantastic but the learning curve is steep. You need to use hours a day and in a month you'll finally start getting used to the menus and you'll just be wacking in the numbers of the menus instead of scrolling. Oh, KEEP your receipt and don't try to fix the calculator yourself if something goes wrong. Just go to their webpage and the Nice Lady will ask a few screening questions (You didn't screw it up yourself, did you? ) and then she'll give you a Return Authorization Number and the Address and you'll get a new one in the mail. Unfortunately it is probably true what some Reviewere said about all the TI Calculators, that if you are in School and taking Tests a lot you need TWO Calculators so you always have a spare. But, yeah, with a Graphing Calculator you always have the Answer. And it is good to see what you're doing anyway. For instance: you know that all the progress in Math in Europe came almost immediately after Descartes developed the Cartesian X and Y Graph. Newton and Leibnitz could not have developed their Calculus without the ability to visualize that the Cartesian Graph gave them.
    4
  13326. Thank you so much
    4
  13327. Thank you, I realize that I can do it, it’s not going to be easy, and I won’t see results overnight, but with hard work and discipline I might be able to do it.
    4
  13328. My end goal is basic calc but im struggling big time already with algebra 2 lol
    4
  13329. First^^ 0:09
    4
  13330. its funny im currently in position where i want to go ahead and do abstract algebra, complex varaibles, etc but i also want to go back to trig/ elementary geometry, and calculus, etc. Im in the middle.
    4
  13331. You make it seem so easy! Thank you!
    4
  13332. Great video. As a Mexican, I can say that book was one of the favorites between math teachers in elementary schools. Nowadays is still a big reference when somebody doesn't know too much mathematics. I have Baldor's Geometry and Trigonometry book it has so many problems as well. I recommend you to review books from MIR-Moscu, because there are some translations to spanish :face-red-heart-shape:
    4
  13333. I am in std. 12 currently , I am bad at Calculus (higher calculus) but i am working hard to improve and I am sure I will
    4
  13334. What topics in maths should I study if I want to start trading?
    4
  13335. Yay I guessed right when looking at the thumbnail.
    4
  13336. OHHH yeah, that's really easy now, thanks! and dude you are so funny and cool, new sub love u <3
    4
  13337. This is great!🎉
    4
  13338. This test is brutal. Even if I take calculus 2, I’d probably still have no idea how to approach those questions and give a good solutions😱😨😢😭
    4
  13339. That's a really cools stuff. Thank you sir, that's what i was looking for.
    4
  13340. Subtitles be like: “Koshi”
    4
  13341. I have been reading and focusing my free time on my electrical engineering studies. Newer books are much more relevant in my field of study. I am struggling with the cost of books in my field. I miss the days of mathematics when I could buy ten books for ten dollars each. PS - Merry Christmas. I hope you got a math book under the tree.
    4
  13342. Is it too late to do a second BS Maths when one reaches 30?
    4
  13343. I stopped a video at 4:45 and bought that book by amazon. Thanks :)
    4
  13344. Do you know the mathemagician?
    4
  13345. Can you make a video with book recommendations for math for Stats, Data science/Data Analytics? Thank you!
    4
  13346. Hi
    4
  13347. Thank you for this video.
    4
  13348. I was learning Squeeze Theorem all by my own, and I am happy to see that I understand all this.Great explanation btw.
    4
  13349. A 2 minute video containing lessons of a lifetime.thnx sorcerer.
    4
  13350. I want to congratulate you. You are a humble person and open to new ideas, even though you know there are no new ideas here. This method is what we use, in some part of the process, to solve cubic equations. For us mathematicians there is nothing brilliant about the "new" method, but you keep your humility and give credit to Professor Po-Shen Loh. Congratulations. The world needs more mathematicians / teachers like that and less ego inflated in academia.
    4
  13351. Could you make a video with a review of books in Probability Theory?
    4
  13352. i have a really old projective geometry book
    4
  13353. I love your content We want more awesome content like this. Great job Keep it up 👍
    4
  13354. I appreciate it really
    4
  13355. I wish you taught basic mathematics in your courses, everything before algebra specifically
    4
  13356. Great content as alway professor, thank you.
    4
  13357. in the near future I want a video about your physics book collection.Good day
    4
  13358. Love your channel, absolutely brilliant stuff...things just got even better with the mention of LoL! Criminally underrated channel, keep up the great work.
    4
  13359. i absolutely LOVE smelling OLD books are the best to smell. AWESOME. !! 5 Star job buddy..thank you SO much. !! x the way i found one at amazon and ALREADY ORDERED ONE !!
    4
  13360. I'm an engineer and I took this book with the idea, given the name, was about analysis. As mentioned in the review it's more of a measure theory book, I'd just add though it has a flavour of functional analysis (hahn-banach theorem, uniformely boundness, closed graph and open mapping theorem are proven, though in the special settings of banach spaces).
    4
  13361. Ha, lockdown browser can't be installed on linux. Got'em! Now I just gotta go to the office and throw a tantrum about it.
    4
  13362. I sometimes study with soft music in the background. I play it at low volume. In Youtube, there are music for reading or concentration.
    4
  13363. very helpful thanks!
    4
  13364. First comment🤓
    4
  13365. I'm curious. I'm really into math but I'm really into it because I would like to use it understand physics concepts. Would that mean I would need to study more applied mathematics or pure mathematics? What is the difference between the two?
    4
  13366. A reason not to study math is being lukewarm about really wanting to do it. You need to really dig the process since it's a long-term commitment.
    4
  13367. awesome - thanks
    4
  13368. This is my specialty; i have an MS in financial math
    4
  13369. Thank you! This helped explain a hw problem better than the textbook.
    4
  13370. That's great, I wish I could find things like this in Spain. I haven't seen any math books in spanish in ages.
    4
  13371. The math behind youtube weird algorithm 😁
    4
  13372. The harder you work,, the more freedom you have
    4
  13373. How to Prove It is my favorite proof book
    4
  13374. THANK YOUUUUU
    4
  13375. I think you are indirectly replying to my message 😁😁
    4
  13376. You are so right on about people wanting to improve!
    4
  13377. "Good luck. Go do some math." I´m on it!
    4
  13378. Nice 👍 Thanks
    4
  13379. The best 4 minutes I ever spent (2x speed works like a dream)
    4
  13380. This man is the spitting image of Issac Newton himself
    4
  13381. 2:30 am I am gonna sleep after this video 😂. Thanks for the reminder
    4
  13382. I hope you were my math teacher because you explain well and you don't get bored ..... but in Mexico it's a disaster
    4
  13383. Thanks goodness for free internet. If you lack college books, go to a website called Open Library. There you can find millions of gems — books on anything like mathematics, physics, engineering, etc. Membership at Open Library is free as too the digital borrowing.
    4
  13384. Jim Simons Medallion Fund 66% return for 30 years...........Nuff said!!!!!!
    4
  13385. Learn to doodle: make a goofy picture to organize a problem, or better yet, develop a more formal geometrical representation of the problem. Fully utilize your sense of vision. Seeing has a large bandwidth.
    4
  13386. Jeff Bezos with hair !!
    4
  13387. I'll do tomorrow 2h math 😭😭😭
    4
  13388. Hi, can you please make a video on roadmap and books to learn pure mathematics from basic to advanced
    4
  13389. Awesome explanation makes the concept crystal clear as Mathematics is all about concept and comprehension.
    4
  13390. That is a very moving comment. So sorry for your loss!
    4
  13391. There's something about that book that entices me to want to dive in and learn. I love that simple minimalist cover design As well the real analysis book.
    4
  13392. Clean book for one that was produced a month after I went into production. :-)
    4
  13393. Yoooo thx
    4
  13394. :)
    4
  13395. i dont know math, but the fractal geometry of nature by mandelbrot is pretty fancy (the dust cover, gold-leaf-thing on the cover, and the endpapers are all really nice). i also like the cover of elementary mathematical analysis 2nd ed by herberg and bristol (shiny), and the cover of digital signal processing by alan v oppenheim and ronald w schafer (with the black, orange and white stampings on the cover)
    4
  13396. U r better than my teacher
    4
  13397. I think the inclusion of zero, makes sense if you build the natural numbers the way Tao does in Analysis 1, it has to in order for it to logically work. But otherwise, I am okay with the natural numbers not including them.
    4
  13398. I was just watching his content last night, which I normally not indulge in but once a month. Before I opened YouTube today I had a brief thought of you, goggins, naval ravikant, and jay skullz being my favorite figures. Then I saw this video, and it feels strangely coincidental. Take care and keep being real math sorcerer - your stuff is great even though I don't pursue math.
    4
  13399. Hii sir..you should check out the differential and integral calculus by N Piskunov (a soviet person ) still in print in india (now in two volumes , total thickness is around that of modern fancy calc texts ).. the book is awesome, contains calc 1, 2 & 3 and ode , completely in detail . it costs around 700 rupees ( ~USD 10) in india and i can say IT IS THE BIBLE OF COLLEGE CALCULUS , like if you ask me to choose apostol's calc books and this, then i will go with this without any hesitation ..I HOPE YOU WILL MAKE A VIDEO ON THAT SOON..SOVIET ERA WRITERS ARE JUST AMAZING IN STEM FIELDS.
    4
  13400. thank you! this was quick and straightforward 🙏
    4
  13401. Thank very much 🙏
    4
  13402. I absolutely hate it when the book has no answers. The philosophy is framed as a way of having students adhere to the path of "struggle", and guarantee that they suffer through the problem to the very end, but I don't care for such exercises. I prefer to learn something and move on, so I only do the exercises to see if I can do it right. If there aren't any answers, then that philosophy, instead of setting me hard at work, just leads me to immediately quit. I will not work for hours without promise of results; I learn best when I'm told the answers.
    4
  13403. In all honesty, I prefer old book covers
    4
  13404. Greetings Mr.Professor, Thoughts : - Good, Simple Professional Guidance with Appropriate Advice in Fundamental Level in all aspects. Take Care, Professor. Response : Applied English language based Education through Progressive Learning in Mathematics contribute to Social Skills Development in every aspects. Note - Simple Maths : Digital Clock - Binaries, Binomials. Analog Clock - Numbers, Axis, Coordinates. Be Confident.. Best Wishes.. With regards, RanjithJoseph (R.J)
    4
  13405. I dont know where'd I'd be without these videos!!
    4
  13406.  @pinklady7184  Mech. But it has nothing to do with my horrible performance then.
    4
  13407. Love you so much much sir Sir I can't tell how much I am feeling good and relief That how to solve this type of questions Thanks a lot sir once again Love you sir ❤️
    4
  13408. What do you think about Mathematical Analysis by Tom Apostol for undergraduated students?
    4
  13409.  @TheMathSorcerer  ya
    4
  13410. Guess theres a reason why we do it!
    4
  13411. That's subjective, but I do agree with you. It actually made me want to study maths even more
    4
  13412. Excelent Video for know how to work with Math THANKS!!
    4
  13413. Watching your content daily all the way from South Africa.
    4
  13414. My books, paper & pens live on the breakfast table. I have math for dessert. A lot of junk mail is printed on one side. I use the backs of all disposable paper. I never have to buy paper for my project of teaching myself math.
    4
  13415. Nice video. Makes sense 👍
    4
  13416. Great vid! I ordered the Schaums in differential equations to supplement my other DE Textbooks like a week ago, so excited for it to arrive! I’m loving the Schaums outline reviews!! Can you make an in depth review on the Schaums in general topology? Would be awesome!!
    4
  13417. It's easier to assume that the numbers are X - 1, X, and X + 1.
    4
  13418. this is exactly the question of my assignment ty very much
    4
  13419. Thank you, I really needed this today. I've been trying to complete my graduate school applications and have been feeling like this a lot lately and getting really down in the dumps about where I'm at compared to others who are seemingly so far above me.
    4
  13420. This kind of feeling is very usual. Don't worry you're gonna crack it in time.
    4
  13421. im about to request this kind of video.
    4
  13422. I add this comment because you requested it. Your excellent presentation has undoubtedly inspired a lot of people, including me. I have only one thing to add. To paraphrase slightly what you say, “If you fail, try a different way, a different approach.” Good advice of course. But it is not always necessary to rule out trying again the SAME way because you may have just made a mistake, or because you might do better again on another try. After that you can still try a different approach.
    4
  13423. I feel that this is sarcasm but i’m not so sure about the comments lol. Good video!
    4
  13424. "10 min a day" must be regarded as symbolic. The real point is: "be consistent, even if some day you dedicate just 10 min. to it".
    4
  13425. Who in the world clicked dislike?
    4
  13426. I witnessed dark magic at play at 29:23, and had to fast forward to 31:34 to see it all come crashing down. xD
    4
  13427. Wait!!!! They pay you to go to grad school?! Did I hear that right??
    4
  13428. Please review Sheldon Axler’s “Measure, Integration and Real Analysis” text!
    4
  13429. People who know Spherical Trig 1. Professional Surveyors, Navigators, and Astronomers 2. People really into Kerbal Space Program
    4
  13430. OMG, NOW I KNOW WHERE THAT Z COMES FROM I know the German numbers, and I know German counting,but I did not know about this Very nice video as always sir!
    4
  13431. So, many amazing and fascinating book this high schooler is looking to buy but can't be shipped to India ':)
    4
  13432. I think you dropped this 👑 ^^
    4
  13433. "Construction of door locks" I think that they still teach that subject, with worked examples, in federal prisons :-)
    4
  13434. this video is what I needed for my discrete math class. ty math sorcerer
    4
  13435. Thank you Wizard. I show some of your advice videos to my 5th grade class and they love them.
    4
  13436. Loved your tutorial. Liked the example you picked from the book and your explanation along with details to that problem.
    4
  13437. Or how about-- {x : x ϵ N ∧ x < 10} ?
    4
  13438. Thnkew brother ♥️ live long♥️
    4
  13439. Cool!
    4
  13440. you increase your intelligence when studying math
    4
  13441. missed this video, really insightful thanks
    4
  13442. Good luck Dylan! My advice would be to pray everyday, get straight A's. Work in a hospital through college eventually and shadow a doctor
    4
  13443. I found his book "Calculus on Manifolds" to be perhaps the most clear, wonderfully concise advanced math text I have ever read.
    4
  13444. Is it necessary to clear "y" at the end?
    4
  13445. Stay with your basics, to truly understand and appreciate mathematics at a greater level one must have a solid foundation on which to build upon. For Analysis especially, having a strong (not necessarily the greatest) base is fundamental to doing well in higher mathematics and even comprehending more complex topics. It's good to be fascinated by all the complex maths and physics but that's all it is, fascination and fantasy. You won't see why to bother with basic "easy" stuff when the advanced is much more entertaining, not at highschool. However, the further you venture into your mathematics journey, you'll be thanking yourself.
    4
  13446. Nuclear engineering is really difficult as well
    4
  13447. I study in varied scenes. I love changes of scenes for reading. I study in my mother's shop. At home, I study alone in a kitchen. At night, I study in bed. Come Sunday, I read in restaurants and cafés. That is my idea of relaxation. Sometimes, I read in scenic parks. I sit by the river and trees and read. Edit. There are only me and mother at home.
    4
  13448. Dude wth It became very easy after learning from u
    4
  13449. THANK YOU.
    4
  13450. Good luck for me on taking Cal 1 on my first year of electrical engineering course
    4
  13451.  @TheMathSorcerer  you should master computer science cause its the future
    4
  13452. Programming in Scheme(lisp) is like performing calculations with only NAND gates
    4
  13453. similar example to the previous video. both great explanations of what to understand when talking about the limit of a function. thanks!
    4
  13454. Great advice. I can see that you have engaged in deep self reflection and it's obviously paid off for you and is helping others.
    4
  13455. "Breath in the wildfire Don't forget to burn yourself It's so easy to force all your pain on someone else"
    4
  13456. Yes Sir I am commenting here first time in your channel coz I was watching your videos all the time Good topic Needed one sir until we don't put efforts from our side no one can help us
    4
  13457. Project management software may be more important than Mathematica in planning and executing a successful long-term study plan for math mastery. Curriculum outlines, course lists, and class schedules may not have sufficiently fine granularity to list subjects down the left side and study hours, days, and weeks across the top of a mathematics study plan. A motivating will to succeed is important, but math study project outlining is an essential subject planning and route choosing tool. And the charts and reports can be useful progress records, too.
    4
  13458. I actually enjoyed that.
    4
  13459. Looking fit Math Sorcerer. The beard and hair look good. I need to apologize for a post the other day. I was post appendicitis and surgery coming off morphine. And I was trying to make a point about math students not doing homework (I equate doing extra HW with training with one's light saber) And I commented incorrectly about NOT doing hard problems. I equated that to laziness, but TIME needed to study other subjects, and not knowing how to engage the problem, and fear of failure are just a few of the reasons for not doing the harder problems. There is another practical reason. When a person has gained the skills to tackle the problem, and they rediscover the problem, and now recognize the insight in approaching it, by then, wasting the time to tackle a longer "math puzzle" of an older subject as they have moved on to more complex math subjects, probably wouldn't be appealing. I wasn't trying to discourage anyone. Thanks for all your hard work.
    4
  13460. I am your huge fan
    4
  13461. Great video! Integration can be tricky and its nice to find concise videos explaining the simpler problems, as well as harder stuff
    4
  13462. You're becoming one of my favorite youtubers. I finished my finals last week and I'll be starting my next semester in less than a month. I watched a lot of your videos throughout my finals period and, believe it or not, you have helped me keep going. I did well and I think that you have played a major role in that. So thank you.
    4
  13463. You look so golden
    4
  13464. thank you, it helped a lot
    4
  13465. Hi, curious to know which device, pen and app are you using? The writing looks pretty smooth without much noticeable latency. If you can also share your video screen capture and editing app as well. Please don't feel obliged to answer if you don't want to, I can understand)
    4
  13466. THICC
    4
  13467. dude you're the man. thanks so much. subscribed.
    4
  13468. Wow. My textbook at university in the early 1980s.
    4
  13469. If I vision myself as an 80 year old, would 41 be too old? No way :-) I hope I'm still doing math when I am turning 80 + . I truly appreciate the journey and it would be amazing to understand all that seem like a big question mark now. Thank you for your inspiring content!
    4
  13470. Mir Publishing (mostly in french) and Gulbenkien Foundation books where the good and inexpensive books anyone could access here in Portugal.
    4
  13471. Thank you for your tutorial Math Sorcerer Sir
    4
  13472. Same lol
    4
  13473. That is a cool book. And yeah, I've heard of those, but that's because I watch some other math channels here, not (strictly) because of my education. Thank you for sharing!
    4
  13474. Proactive serendipity!
    4
  13475. It's hard, but it's also satisfying, even if you have to repeat a problem several times or look up for answers. When one faces a similar problem and knows how to tackle it without help outside logic and experience, that's the important thing that makes all the effort worth it. As it is said: It is because we are on the shoulders of giants, that we might be able to see further than giants. and I believe that as long as math is hard, we are always evolving our understanding, and as long as there are unsolvable problems to solve, we will be always on the right path. Meanwhile I'm starting Differential Calculus, just a bit; I will have to worry about Proofs too.
    4
  13476. Now I just want to ditch video games and read all those books
    4
  13477. Thank you so much sir!!!
    4
  13478. I am posting this comment on 03.01.2022, will get back after 12 months to check, how I have progressed.
    4
  13479. This video just saved my life, hot damn lmao
    4
  13480. You have studied enough... otherwise you wouldn't have become The Math Sorcerer! But, of course, you haven't studied everything! It's just your never-ending thirst for mathematical knowledge that's doing the talking!
    4
  13481. Now that's some click bait. 'Simplify the fourth root of 32'. I'm so excited! Not just the second root or even the third root. No! The freakin' fourth root! I don't want to watch this before I go to bed, I'll be up all night.
    4
  13482. Look on mathematics forums or online mathematics communities.
    4
  13483. Yes, it's hard to make decisions and stick to it. Previously I made many a times decisions to learn maths but couldn't progress. Now I'm progressing by leaps and bounds at maths because of some books and teachers.
    4
  13484. This was my first introduction to measure theory, recommended to me by my advisor in college. Very well written, good intro, easier to follow as a first book than Papa Rudin.
    4
  13485. ❤
    4
  13486. This is such an important video - particularly the piece on focused activities as opposed to jumping from topic to topic with mimimal commitment. In project management, we call it scope creep. My favorite book for combating scope creep would be “UltraLearning” Great video
    4
  13487. This video is so good. It has 0 dislikes. Thank you whenever i do bad in my classes i feel like a hole appears in my heart. This helped tend to that wound
    4
  13488. I so wish you were making these videos 10 years ago. Back then I relied on Amazon reviews, and most of them were basically just negative reviews saying they got a damaged used copy from a third-party seller.
    4
  13489. Thanks for the great review! I’m starting grad school this fall so I just ordered this to read over the summer.
    4
  13490. This is a amazing video please make more like this!
    4
  13491. Nice video man, thanks.
    4
  13492. Can I buy your books from a source other than Amazon?
    4
  13493. This video was so necessary for me. I really apreciated the advice, because sometimes, in my graduation, i get stuck and just get more and more anxious about it. Keep doing such great work ! <3 Love from Brazil :D
    4
  13494. Would highly appreciate if you could do more videos on graduate/advanced undergraduate level math from time to time, be it book reviews, motivational videos or generic etc. Certainly helps graduate students like me and many more in the future. Keep em rolling! Speaking of functional analysis, my lecturer based the course off a combination of Reed/Simon and Stein/Shakarchi. Was by far the most fun course in analysis at least for me thus far. Kreyszig is indeed a gentler introduction in my opinion. But the impression is that research in this area seem niche to applications in quantum mechanics (rather unsurprisingly since functional analysis arguably grew out of quantum mechanics). Research in other areas seem to be much more happening in comparison
    4
  13495. I've had this experience with a few books where the book looks like it's very serious and well made, but once you get to the first exercises section, there just seem to be way too much missing knowledge from the small chapter you just read to be able to complete any exercise at all. That's not necessarily you at all. Some books, although they have very neatly organized and explained content, seem to just be terrible at matching this with the exercises. It looks almost as though the exercises were written by someone else altogether, who just worked from vague bullet points of what the chapter would contain. At this point in my life, with the experience and successes I've had studying quantitative and technical fields, I can usually spot pretty easily when the problem is the books' exercises section and move on to looking for other sources.
    4
  13496. When you reach boss level.....
    4
  13497. As an English major, I feel called out. Lol.
    4
  13498. What you're advice about caculus by Howard Anton.
    4
  13499. This is ridiculously easy..
    4
  13500. My teacher didn't explain this very well, Thanks for explaining you really helped me understand it :)
    4
  13501. Hahaha loving it!! 😂😂 Congrats on your channel success recently math mage! 🧙
    4
  13502. Wow
    4
  13503. you won't blieve how much it helped me sir❤ thanks for sharing
    4
  13504. This is something I have struggled with. I am 30 now, and have always loved math and science, but have not had the discipline to fully study it till now.
    4
  13505. Trying to to figure if the background is real or a green screen is really distracting. Great video mate !
    4
  13506. 9:26 really resonates. I was suspicious at first that I would need to teach myself but hearing it makes it go down easier. I’m glad I was able to watch this and digest it early on in my engineering student days rather than be near graduation and hear it.
    4
  13507. bibliotaph: https://www.merriam-webster.com/dictionary/bibliotaph
    4
  13508. Thank you so much! Due to COVID our lectures are recorded and our professor didn't go over how to solve with Bernoulli's. The teacher explained very well and made an almost 15 minute video feel like 5 minutes.
    4
  13509. Just math things....
    4
  13510. There's so many places to find some of these rare books, and I've managed to find several after they've already sold out on Amazon. I consider myself lucky, and I'm not giving up my sources!
    4
  13511. finally the gainsorcerer
    4
  13512. Damn I'm second 😢
    4
  13513. 0:50 for someone like me who really has a bad handwriting (and yes sometimes i can't read my own notes lmao) what do do ?
    4
  13514. TO BE HAPPY, avoid toxic people as much as possible. I do that always, as I live by the motto that was once imparted to me years ago: "Trust few, pal your kind, be friendly to all." Living with toxic people requires a great deal of thick skin, patience and tolerance. The worst of toxic people are often the pessimists who pull others down and make them feel their inferiority complex, and they make you feel small. When toxic people persist in asking what you are doing, it mostly means they are jealous of everything that you do, even right down to the smallest and most trivial things. With people so like that, it is always best to be politely evasive and give them no information; make excuses to exit. Less said is best. What else makes people happy? Chocolate perhaps. Chocoholic people seem to be the happiest-go-lucky lot. I eat chocolates everyday, unfailingly. I sometimes drink chocolate drinks. Since the coronavirus, I drink Ovaltine Light with salt and chocolatey syrup: this beats gargling salted water.
    4
  13515. Thank you so much, you are the best 🙂
    4
  13516. I would say it's all about the money. In order for a textbook to sell, it needs to be adopted by a lot of professors who will "force" it on their students by using it in their class. What professors are looking for is not only a clear explanation of the subject but also a lot of exercises of various degrees of difficulty that they will assign to their students. If the textbook author has published the solutions, the students will, in all likelihood, be able to find them and the textbook exercises are now useless for an official course at a university because it would require the professor to spend his own time to come up with some nice exercises for his students and, let's be honest, very few want to spend their time on that.
    4
  13517. Good timing on this advice. Thank you Math Sorcerer
    4
  13518. This video helped me so much. THANK YOU!!!!!!
    4
  13519. Thank you!
    4
  13520. As I am a graduate student in mathematics .Can u guide me to pursue PhD in foreign 🙏🙏🙏
    4
  13521. Legend, thank you!
    4
  13522.  @TheMathSorcerer  interesting, what is?
    4
  13523.  @TheMathSorcerer  omg
    4
  13524. Interesting! Is it usually the case that whenever you have addition or subtraction in these trig identities that you end up using the Pythagorean trig identity like you did here?
    4
  13525. Finally !!! Another video about math books !! ❤
    4
  13526. Thank you so much this help me a lot
    4
  13527. I’m not at that level but believe in yourself and the rest will come king
    4
  13528. I just bought the book the pencils and pencil sharpener, it should all arrive today. Time to learn math.
    4
  13529. 1st comment on your 1st podcast ❤
    4
  13530. What a legend. You sir deserve a religion dedicated to your teachings. Mathematics is more of a cult.
    4
  13531. You are great and inspiring! Keep up with the nice videos! Greeting from Amsterdam!
    4
  13532. Abstract mathematics was harder. Real analysis was easier.
    4
  13533. The sorcerer remains a mystery for me.
    4
  13534. We started with mathematical analysis right off the bat. First lecture, the professor put down the epsilon-delta definition of limits: it contains some Greek symbols in it, an inverted letter A and E and a symbol "=>" and somehow its negation involved the word "and"..I mean noone understood Anything lol. He also knew it and after the lecture he asked those students to raise their hand if they understood anything at all during the lecture :D Interestingly, as the lectures went on, more and more people started raising their hands, so I suppose it wasn't all for naught. More specifically, talking about University of Tartu in Estonia. It was hard and we have had some changes. Now we start with calculus and a transition course in which we teach propositional logic and naive set theory. Analysis comes later, because it is probably the toughest course in undergrad. At the same time I wouldn't have it anywhere else than in 2nd year of undergrad. Fun stuff.
    4
  13535. advanced trigonometry by c.v. durell book review?
    4
  13536. I remember doing a few problems like this one. Probably missed it on some tests before, and actually got it on an exam. The completing the square step, and getting this thing setup to be factored is all pretty tricky. It's never the Calculus, and always the Algebra.
    4
  13537. But I always want to do maths... unless I'm exhausted from doing maths. In which case I probably should take a break.
    4
  13538. Totally agree! I enjoy the subject when I'm on holidays and have nothing to do for my undergrad (just read some material, do problems and ponder on the consequences of the material). Your teaching videos seem to be aimed towards topology. I was wondering if you have plans for making some videos on just complex analysis material?
    4
  13539. 1:16 good way of describing it
    4
  13540. Hearing you that schedulling is a hard work for you also made me much more peaceful with my problems nowadays
    4
  13541. Hey MathSorcerer hope you are well, what books you recommend to study complex variable for engineers?
    4
  13542. goatee on point ♥️
    4
  13543. Sorry for disturbing again. This video makes me remember when I was at school, I am not sure about the age I was, but I can remember when I heard the the teacher spoke about commutative operations. I really didn't understand that thing. For me she was speaking an alien language. The word commutative didn't means anything to me even the word operations. My mind had focused in recess time, run, climb the walls, play football, jump gates, just joy the life. In my opinion, what society do with childrens, force them to learn things with meanless, just create more problems.
    4
  13544. Tbh, I think it's better to read some proof writing books before going into real analysis.
    4
  13545. Sir can I study high math on my own.
    4
  13546. Took a course using elementary applied partial differential equations. Really nice book.
    4
  13547. I'm a freshman in precalc and we use this very book (the 6th edition)
    4
  13548. According to Wikipedia, Ramanujan also had a trig textbook by S. L. Loney at age 11.
    4
  13549. This really hit me man, thanks for your videos
    4
  13550. Its a good day when the math sorcerer posted… Like a ton
    4
  13551. Another roof, another proof. - Erdos.
    4
  13552. So Leagues of Legend is a game? I didn't know that until I read others' comments under this video. I have years resisted playing games, as I didn't want to be addicted to games. Instead of games, my hobby is 3D modelling in Blender, a free open software which is now most used to create characters and props for games. I have constantly tried to discourage my nieces and nephews from playing games and suggest they try digital painting and 3D modelling. No success. 🙁
    4
  13553. i always love Russias Mir publishers
    4
  13554. Legacy! That would be very expensive.
    4
  13555. Have you covered Polya's How to Solve It?
    4
  13556. I like Beethoven's Moonlight Sonata.
    4
  13557. The 'go-to' place for acquiring used classic and collectable mathematics books is ... Powell's Bookstore in Portland, OR (which houses books of all kinds in five buildings). It is definitely worth a trip to the Pacific Northwest if you've never been there, but they also conduct online sales.
    4
  13558. This was perfect timing, I'm just about to start my maths homework. Thank you! I can do it :) all the best, take care
    4
  13559. Mate your past few videos have resonated with my current life so much, it feels like you're literally talkin to me, i overthink, i overthink about overthinking, i just have to stop, and just do
    4
  13560. I also recommend Chartrand's, I prefer it over Book of Proof.
    4
  13561. Calculus of several variables is my favorite subject. By the way, don't forget to make a video about Lipman Bers' Calculus book, volumes 1 and 2.
    4
  13562. I think I missed something. Why did you use c as your endpoint instead of infinity. Is that because c is more attainable?
    4
  13563. Can you teach it directly through lectures
    4
  13564. Title: "When you find out you're good at math" Me: can't relate🤣🤣🤣🤣
    4
  13565. Okay thanks for the help!
    4
  13566. I always watch and rewatch your videos, I feel you like a mentor. Like-kind of Virgilio with Dante in the divine comedy while they had been walking across of hell. When I have afraid I come back to your words for taking some of encourage, thank you for your support.
    4
  13567. More of these please. Need stuff to study while stuck in quarantine :)
    4
  13568. Ahh, the good old days, when an author could assume that anyone interested in reading his book could figure out a lot of things on his own.
    4
  13569. Yeah, I had to extract this video on my desktop for that moment when I need inspiration such as 10 mins ago in my office. After watching this video my mind shifted to Mamba Mentality (Kobe Bryant) thank you
    4
  13570. Check out hoffman’s linear algebra. He has lectures up on YouTube including exercises to go along with the book
    4
  13571. Your videos have helped me continue to get better at math.
    4
  13572. Get online freebies, dover and other cheap publishing houses. You can get a fantastic mathematics education with 50bucks worth of books if you want. That can't be said about most other hard subjects.
    4
  13573. I wish my math teachers were this in-depth when teaching
    4
  13574. Thoughts on the Schaum's Outline for Advanced Calculus?
    4
  13575. First 🥳🤝🏻
    4
  13576. Well said sir This comment is really long, so you can just skip to its last line to get what I'm trying to convey, or you can just continue reading I cannot count the number of times I've been stuck on tricky problems, getting demotivated miserably.Also, what's really demotivating is when you take a really long time to do a subjectively difficult problem, but then another person does it in a minute. It has happened so many times to me that I start to think I'm not good enough to do Math. But regardless, what makes me carry on is my love for the subject. I am no math pro who can solve any problem in seconds, I take time to do it, and I am sometimes, actually many a times, taken aback, but what motivates me to go on is my aptitude, the love for math within me. Learning those new theories,coming up with some on your own,solving questions, and pushing the limits of human thinking, that is what I enjoy, and according to me, that is what math is! I'll elaborate this a bit more I'm not "naturally" good at math, but I am naturally good at physics. I am able to solve Physics questions very fast, I get the highest grades and get the 1st rank on my Physics papers, and I dont really stumble in Physics like I do in Math.Physics is extremely easy and interesting for me, but physics is not my favourite subject I dont get nearly as good grades in math,nor am I able to always solve Math questions, but Math is my favourite I guess that is what has given me perseverance to continue doing math..."love" as I am not able to do other difficult tasks for long. So summarising in one line:- For me, Math generates the perseverance needed to do Math.
    4
  13577. My math class is more like a drama with no soul my teacher himself knows nothing literally nothing
    4
  13578. 😊👍 helpful.
    4
  13579. Organic chemistry. Physical chemistry is harder but it has lots of math.
    4
  13580. What academics define as applied mathematics is what you do in university as applied mathematics. So it's no wonder that you find very academic material in these courses and not as much say computation and complexity, algorithms, statistics etc. For example there is a field called stochastic analysis/calculus, which is cool to exist don't get me wrong, but aside from few and questionable uses in finance, nobody uses it yet there are many academics specializing at it, worse yet many finance and mathematics interdisciplinary students consider it peak intellectual field(largely because they can't understand it). As far as physics go the foundations are great, everyone should know them, the problem is later on when you are presented many questionable theories, among them some QM aspects, as well founded and undeniable. In general physics needs more testing and replication, fewer abstract reformulations.
    4
  13581. I like your short videos about making people recognize that they are not alone in the difficulties of math journey. Thank you.
    4
  13582. Thank you!!!
    4
  13583. I have a few requests: can you review "calculus: an intuitive and physical approach" by morris kline and calculus by swokowski . Thanks
    4
  13584. I've started to put together a reading list from your other videos. I'm an accountant working on a software degree but those aren't as numerically sophisticated as some might think so my math skills are rather weak. In addition the texts and your courses are there any suggestions for calculators, computer programs, or other aides?
    4
  13585. Can’t believe I knew how to do it , it has been more than a year for me doing any proper math
    4
  13586. Spivak also wrote Calculus on manifolds, which seems very popular
    4
  13587. Go for it! Sounds like a great goal. Enjoy! You can do it.
    4
  13588. Thank you so much for your work. Seriously my anxiety gets the best of me when I get frustrated in math and your teaching style keeps me on track and confident that I can do this. Thank you thank you!
    4
  13589. love the wisdom videos yes
    4
  13590. Loved it! just finished the first half of a two course class on Introductory Analysis over the Summer, been going over Rudin's book after to review concepts
    4
  13591. u didnt subtract 1 from 1/2
    4
  13592. After few or many failures, persistence brings results.
    4
  13593. Please make some videos on differential geometry
    4
  13594. Went from history to math right when I was about to transfer from junior college to a state university, and absolutely no regrets!
    4
  13595. I should hire you as my Pre-Cal teacher, mine sucks and I understood everything you said.
    4
  13596. Considering that research is continuing into the foundations of mathematics, a mathematician might also ask, "Does mathematics ever BEGIN?" :)
    4
  13597. first comment.. i remember my school days thank you
    4
  13598. What motivated u to do better in uni than hs?
    4
  13599. I had a Karen teacher for Algebra 2 that didn't understand inverse functions and would take off outrageous amounts of points for simple mistakes.
    4
  13600. Have this book, had it since 1972, it is great, fun reading. Loved calculus, used to dream calculus. Easily my favourite text book.
    4
  13601. Really nice collection! My math books reside on my top shelf of my big book case....btw I have MIR published two Volume set of Differential and Integral Calculus by Piskynov if you are interested.
    4
  13602. the physics sorcerer
    4
  13603. Is it possible to study at night
    4
  13604. Be nice if there was an easy to follow website that taught math from the ground up 😉
    4
  13605. Happy Festive season Math Sourcer and congratulations on writing a book that many of us will look forward to be inspired beyond the reading. Look forward to pleasing comments.
    4
  13606. It seems friendly to be honest.
    4
  13607. I love your random videos , is eye 👁 opening ,thank you ...❤
    4
  13608. It may help to take notes of many durations (exercise duration, reading duration, stuck duration when it comes). So some of my papers get a special function, and are helpful for decision making. But behind that, I write different types of texts. Some of them are conceptual and less rational than mathematics. This kind of process may help not thinking at all because doing could become thinking.
    4
  13609. Im bad math, can i do better?
    4
  13610. Have you reviewed Dirk Struik's "A Concise History of Mathematics"? Struik was a friend of Einstein who worked at MIT
    4
  13611. A collection to be envied for sure! Looking forward for next shelf, have a feeling, it gets more interesting.
    4
  13612. Is it ok to use L'Hopital's Rule when working with series since they are not continuous?
    4
  13613. This was really helpful!
    4
  13614. Maybe because caring about what university one learned from is an assh*le thing to do.
    4
  13615. LMFAO, my dad has this book at home lol when he's in college about 30+ years ago studying computer science but he dropped out. I'm in my first year of electrical engineering, I'm his only hope.
    4
  13616. Did you completed each and every book?
    4
  13617. What you said is a true motivation and the best inspiration for us.
    4
  13618. To be honest I am in one of your online courses and you do an excellent job. The way you provide videos for almost every problem and the recorded classes you provide are a HUGE help. Out of all the online classes I have had to take during this pandemic yours has been the best modeled.
    4
  13619. Differential calculus is fun! Integral calculus is amazing!
    4
  13620. Most calculus classes I've taken put time pressure on the students during exams. In one exam I only recalled a missing step a few minutes before time ran out. This could be a helpful reminder about time usage because your future exams will require faster answers. Good luck.
    4
  13621. Hi, im a highschool student in a 3rd world country ( Turkey ) and i wanna be a Mathematician. Would you pls give me some advices about how to become more than a normal maths student? How can i improve myself? And idk if you have heard about metu ( middle east technical university ) but it is the best university in Turkey. Is it really a good university in worldwide or should i go somewhere else? Thanks...
    4
  13622. In my opinion, the fundamentals of mathematics comes from something as simple as counting. This is truly amazing to me. What is so amazing is something as simple as counting, and sequences is what started all of this. And ... to this day, there appears to be STILL, unexplored regions of mathematics that is founded on something as fundamental as counting and sequences. After this, I would say geometry is probably the way that we humans attempt to describe the world around us. And, it goes on!
    4
  13623. OMG I'm taking differential geometry and I, myself am in the same shoes as you, good luck on your studies!!
    4
  13624. I didn't know Jeff Bezos was a math teacher.
    4
  13625. I don’t see any geometry besides topology, not even differential geometry! Do you think that geometry is neglected for a lot of math programs? I believe my program only has pure math majors take differential geometry.
    4
  13626. My father mentioned that near the end of WWII he had taken an algebra class. The army brought professors from the states to Europe for the soldiers. Wondering if he used a version of this text (too late for me to ask him...)
    4
  13627.  @TheMathSorcerer  Is there a book you recomend that goes over all of the mathematics that one would need to study to have the equivalent level of knowledge to that of an undergraduate applied mathematics student?
    4
  13628. Fire emojis
    4
  13629. Why are companies and some departments encouraging so many students to go to graduate school because it cost alot of money, it is stressful, you loose alot of sleep, and I would imagine that it is difficult to have a life outside of school in graduate school?
    4
  13630. i actually fell asleep in my latest online maths class xD
    4
  13631. are there any cheaper sources to buy from?
    4
  13632. Awesome explanation .....Thank you very much!! :D
    4
  13633. Thanks for the video
    4
  13634. thank u omg i needed this so much 🥺 bless you <3
    4
  13635. Good morning sir
    4
  13636. omg thank you so much dude, this was actually so easy wtf
    4
  13637. Thank u for your recommendations for books sir
    4
  13638. Times have moved on. I have not read the book but watched the clip and the 4 points. Ths second step has to be expanded. It is the art formulating and capturing the data. I am sure companies like SpaceX are capturing all what is possible. However most professionals have no clue to do this in their own field and the subject is not taught well at any level.
    4
  13639. Amazing!, thank you so much for this, hopefully we can get more study with me videos.
    4
  13640. holy moly you have to be the coolest and most entertaining Calculus teacher on the face of the earth. i wish i was you student
    4
  13641.  @TheMathSorcerer  When I'm solving problems alone, at home, I barely make any silly mistakes. I guess it's just the pressurising enviornment of the examination... I'm not able to perform well under pressure
    4
  13642. This was really helpful. Thanks a bundle.
    4
  13643. It very depends on the difficulties of the exam in Asia math in open exam is really really really hard If u take your math result to apply university in England your score will automatically up to two grades lol WTF but if u fail in a fair test u may have three main problems 1. U are not fast enough to finish the exam 2.U don't understand the topic 3.U understand the topic but u are not able to finish the questions for the first one U practice more and make maths become a kind of muscle memory for the second one U need to work harder If u cannot understand what your teacher say U should search it on youtube (I do it everyday)buy reference book or ask your classmate to teach u  for the third one this may happen because u a lack of some basic knowledge such as algebra linear algebra calculus for example if a question ask u to solve with eigen decomposition and U know what is eigen decomposition but u do your homework with Matlab Python and u may forget the calculation step after u school life u will find that maths is an unlimited topic u will do it only by yourself
    4
  13644. Wish I came across this during college. Then again, some of these lessons have to be learned through first-hand experience.
    4
  13645. And bad girls?!?!?! 😝 😁
    4
  13646. Since this includes Calc 1,2,3...what comes after this? It sounds like Differential Equations is a separate class? And what about PDE..that seems to be covered in this book, but is that also a separate class? If they are separate what is the difference between them and Calc123? It sounds like what folks call Vector Calculus is covered in this book too? Thanks!
    4
  13647. Great recommendation 👍 I'm actually reviewing precalc and calc using the Larson's Precalculus textbook and Thomas' Calculus textbook. I used those books in college and it brings back good memories!
    4
  13648. Interesting
    4
  13649. OMG this is short but the amount of knowledge i got from those 44 seconds are something else tysm
    4
  13650. Pretty sure every copy is not signed 😄
    4
  13651. That was a fun video. I’d like to see a video where you solve all the problems.
    4
  13652. Thank you lots, Dr. Math Sorcerer--whomever you are!! :) :) :) :) This actually gives me a better understanding and appreciation of differential equations, so I'm very grateful to you for producing and posting this wonderful video. :) :) :) :)
    4
  13653. You have to remember that these theories and problems were developed and built upon over hundreds of years by some of the brightest in their respective fields and almost none of it is intuitive to most people. And all of this is getting thrown at you in the course of a semester.
    4
  13654. Appreciate your videos man. Keep it up. Greetings!
    4
  13655. Just realized that you use MTG coasters in your videos and I'm here for it. 😊
    4
  13656. I agree, calc was really not that bad
    4
  13657. Great video, Math Sorcerer!!! You sure come up with the best advice on how to tackle math!! Math with a little bit of psychology mixed in!! Thank you so much, Mr. MS!!! :) :) :) :)
    4
  13658. So much for the assertion that students do not have enough access to education :-)
    4
  13659. I thought you're supposed to add a negative
    4
  13660. Quick calculation is useful, but completely unnecessary. Logic tends to be more important in higher mathematics.
    4
  13661. Was a huge help😁
    4
  13662. I also have a calc 3 final coming up. Best of luck man go kill it!
    4
  13663. Mine is on the 13th! Good luck to us calc 3 students
    4
  13664. Couldn't any number subtracted from itself work the same?
    4
  13665. we need the meme with guy on the left rejecting and accepting. Na -- limits Yes -- internal set theory
    4
  13666. thanks man... I watch all preimage and direct image videos .... helped a lot... thanks once again
    4
  13667. I really like Mr. Murray Spiegel's abridged writing (in all the subjects for which he has written a book).
    4
  13668. Hello sir I can't find your email address to get in contact
    4
  13669. How would this differ from an applied math major?
    4
  13670. I failed my math exam today and I got the lowest score ever in math and it's depressing because I failed my dad
    4
  13671. Thank you. This explained it much more clearly and simply than the other written explanations I have found.
    4
  13672. I’m about to graduate with a psychology degree and I can’t shake the feeling that I should have gone the math route instead, so I want to take the time to learn it on my own. Thank you for the video, very helpful guide!
    4
  13673. hey man , your hair style is so cool.
    4
  13674. “It’s good for ur physical health” 😂😂😂
    4
  13675. I get the big picture first then detail second. I'm starting to see that I love teachings based on a high level. I love visuals
    4
  13676. I love this guy's face. He looks like he just came out of a hurricane of pure knowledge. 😂
    4
  13677. Thanks for the great explanations here, however according to how my "professor" does this equation this is not the full answer. The way in which he does it, he continues with what you came up with in the end and converts it back into cos and sin and does a bunch of nonsense work eventually coming to the answer COT(X/2)+C. Do you know why he might do all that extra work? I dont want to ask him because it isn't easy getting access to him for me.
    4
  13678. I just started the calc sequence and have been finding your videos extremely helpful. I’m in over my head with the class, but really starting to enjoy it. Are your UDEMY courses the same things you teach in your in-person classroom?
    4
  13679. Appreciate your channel
    4
  13680. I love you bro
    4
  13681. Gatekeeping? Yes, maybe. But you can always find more pedagogical approach to those books. These elitists' books have very specific audiences in mind and if you are not one of them, it is not anyone's fault. Also, there is more to maths other than the most obsessive-compulsive part of maths (analysis).
    4
  13682. Math Sorcerer, I love your passion for teaching and how excited you get while talking about math! I am also a professor but my background is in Physical Therapy and Strength and Conditioning. It’s awesome that you are encouraging aspiring mathematicians to keep both body and mind fit. My motivation for learning more mathematics actually stems from exercise. I study and teach exercise mechanics and the deeper I dive into the subject the more math I need. It’s funny how we teach subjects that most people would see as unrelated but both benefit from each other’s fields. I rarely comment on YouTube, but the world needs more of this kind of positivity. Keep up the great work!
    4
  13683. In order to learn, first step is that you must accept that you do not know that particular thing. If and only if, learning happens. Mathematically speaking; People who are not open to learn are a subspace of humans. There are infinitely many subspaces of humans. For example, in order to be able to learn, one must be in the "people who are open to learn" subspace's domain, where people are closed under the operation learning. Basically; If you are open to learn, you learn. If you are closed to learn, you don't. May the Math be with you, friends.
    4
  13684. Create video on becoming physics wizard
    4
  13685. Sir can you do some more videos explaining solution from math competition problem?
    4
  13686. feels great to have a base to study maths being a high school students, all this is thanks to you
    4
  13687. Nice video!! Although I wanna point out the thumbnail says 1/(x-3) not 7/(x-3) :D
    4
  13688. Good evening sir, i watch ur videos frequently , can u please make a video on trigonometry ?, i m reaally struggling with it , i am afraid of every sum which has trigonometry in it , there are so many identities and stuff , how can someone memorise all those things like that ?, i want some advice from you sir on trigonometry , any tips or tricks or any simple methods to do trogonometry without too much head ach. Please help me sir.
    4
  13689. I gave up maths only after I left school. Now I am relearning maths and many other things. I explore many videos, books and sites, any relating to mathematics.
    4
  13690. I combine practice exams and I go through lists of topics, then I also look at old exams, but for schools that give harder exams than what I have. It's worked well for me!
    4
  13691. How many practice problems did you solve everyday?
    4
  13692. I usually really like your videos and what you have to say but I do have to say I don't agree with the first step. To be fair I didn't listen to any further explanation after I saw the first step because I was thinking so deeply about my own personal troubles when having too clearly defined goals. Then I thought about it and realized that everyone is different and needs their own way and because we are human, we tend to like motivational speech and listen to others encouraging words but rarely do people actually follow the instruction given by others... they usually go their own way. Much love to you Math Sorcerer and what you do!
    4
  13693. Books recommendation for financed maths
    4
  13694. Love this stuff. Used to teach it every day and couldn't stop smiling.
    4
  13695. I dig the pencil and paper vids.
    4
  13696. I'm a social learner, so isolation isn't good for me. Unfortunately many "math people" are more introverted which makes it harder for me to connect and develope.
    4
  13697. Really Good books!, such memories with Michael Spivak, I would like to recommend the Princeton Lectures in Analysis Series written by Stein, specially Fourier Analisis (first book) and Complex Analysis(Second Book) and Differential geometry of curves and surfaces by Docarmo.
    4
  13698. You are the best math sorcerer!
    4
  13699. that video of yours has inspired me a lot ngl and i wanna thank you for that. its kinda become a saying between me and my friend and weve started this challenge since a little less than a month to use 2 weeks fully dedicated on something. weve finished the discrete math syllabus (following your roadmap), and i honestly cant thank you enough for just giving me that kind of a green card to think like that. weve planned on using this mindset to get 27 topics, even outside of math, in 27 tweeks (thats what we call them LOL). thank you again!
    4
  13700. Price of the book: 24.99$. Shipping cost: 59.67$. As if I live on the Moon!!! Please start selling it in digital format too...
    4
  13701. Currently I'm reading this one I'm at chapter 5 Problems gives pretty good insight
    4
  13702. Professor uploading video Me clicking Faster than speed of light ❤️
    4
  13703. EVERY(!) A.E.M. Text is indeed a treasure trove. I own a huge pile & read random chapters for fun sometimes. A unique observation with 'older' editions is the hidden gems of solution techniques that existed then. Hence, I recommend these authors who have stood the TEST of time & their 'tome's' have updated versions: *Wylie (& Barrett), 6th Ed., 1995 - 1300+pgs with odd-numbered answers *Kreyszig, 10th Ed., 2011 - 1200+pgs with odd-numbered answers + reference appendices *Zill, 6th Ed., 2018 - 1000+pgs with odd-numbered answers + reference appendices However, my ALL time favorite has got to be: *Stroud, 6th Ed., 2020 - 1200+pgs self paced 'tutorial' style work /reference text & it's E.M. prequel companion > 8th Ed., 1100+pgs same 'teach yourself' (Highly recommend BOTH for beginners to Eng Math, PDE /ODEs, etc) There's also a large pool of Indian & English Authored Texts which are on par, but might be more $$. They also cover a bigger spectrum of topics & usually exceed 1400+pgs...FUN STUFF!!
    4
  13704. Cut the news and negative social media. This is the source of rot and negativity in our world. Reconnect to religion: this used to be the source of wisdom and positivity that connect us together and make us ask forgiveness and start again and move forward. Look into the society around us that was built with technological means way inferior to what we have, we are right yet we are unhappy and a loosing the cohesiveness that allowed us to work together.
    4
  13705. I purchased this book not that long ago! Awesome that you have it!
    4
  13706. Great method!
    4
  13707. I was born "socially distanced"!
    4
  13708. Statements that cannot be proven or disproven will always exist regardless of the axiomatic system. And I think that makes it even more beautiful.
    4
  13709. I like your way of teaching #mathtutorial
    4
  13710. Your voice seems a bit different today.
    4
  13711. I am from Denmark, and I am in 10th grade! These lectures are really interesting and I am enjoying watching them!
    4
  13712. Year your right there's lots who don't know that. Thank you so much for all your videos.
    4
  13713. Merry XMas 🙂
    4
  13714. Isaac newton?
    4
  13715. Love the I ate some pie shirt.
    4
  13716. Thank you for sharing!
    4
  13717. I'm sure everyone will be on time for this professor.
    4
  13718. Yeah, it's very important and now I remember that I've started learning to write proofs for myself using references.
    4
  13719. Lol same. I have never passed math quizz and exam in my entire life.
    4
  13720. I’m going to embrace curiosity!!! As long as it isn’t math! 😉
    4
  13721. That's the book to study, but Lang to prepare exams
    4
  13722. I agree. I used this book and it is excellent. He also has one on introduction to proofs.
    4
  13723. Very helpful video!
    4
  13724. Thanks so much dude
    4
  13725. It is ABSTRACT ALGEBRA - I. N. Herstein.
    4
  13726. Anand Kumar Go to Pinterest and type in mathematical terms or names of mathematicians. Therein, you will find many examples of math problems & solutions plus illustrations.
    4
  13727. I love it! I want to do it!:) It looks hard....I think I would have gotten a zero haha
    4
  13728. I enjoy all of these maths book reviews. My favourite book is The Road To Reality by Roger Penrose.
    4
  13729. yesterday I had to take one of these after having to be awake until 5am to send in a super hard and long calculus assignment
    4
  13730. Cool bird!
    4
  13731. where did you get that long sleeve? looks dope
    4
  13732. PLEASE do book review on more 'generalized' math books, such as "expression making" or "equation making". How to express ideas thru maths, proportions, and how to accustom one's self to thinking like a mathematician. I know you reviewed George Polya HOW TO SOLVE IT, but i mean something more mathy and not vaguely problem solving, please. Thank you!
    4
  13733. nut
    4
  13734. Dude where have you been all my life😩💕 this was so so helpful!!!! Thank you!!!!
    4
  13735. Mohammad, how do you know if someone, another math student for example, is smart? Because they perform well, do their homework faster, get better grades? If so, then the belief that they are smart or smarter is a tautology. I know they're smart because they perform well, and they perform well so they must be smart. Ergo, people who perform well are people who perform well. It means nothing, i.e. you can never know if people do better than you because they're smart or because they work hard. And you know that if you work hard(er), you will do well (better). Of course, working harder has its limits. On more than one occasion I've been surprised by how well I can complete a challenging task if I take a break for some social activity or other. Another point: I think that if you come from a background engaged in a particular line of work, or with similar experiences as those in which you are engaged, you grew up in a culture formed by an adaptation to those activities and requirements. That's why sons and daughters of say, politicians, often enter politics and succeed as well as their parents. George Bush and his son George W. Bush, or early 20th C. POTUS William Howard Taft and his son Robert Taft, an important mid-century American senator. I imagine the same must be true of mathematical families, and that's one reason Sorcerer's friend was able to do so well in math classes.
    4
  13736. I think you should review The Art of Problem Solving books. This company makes fantastic books that allow you to learn elementary mathematics at a very high and competitive level. Check them out!
    4
  13737. Teachers do grade inflation now. No need to worry
    4
  13738. Cool, please make one on how to read higher math books. I suppose to an extent the method should be largely the same, but the difficulties found in Baby Rudin are certainly of a different nature than those reading a basic algebra book. Pretty please?
    4
  13739. First
    4
  13740. I feel you, brother. And I feel your pain. Books are like little treasure troves of knowledge - so, just know they’ll be going to a good place - to carry with them knowledge into another person.
    4
  13741. Math
    4
  13742. I went to university. The problems you mentioned are also encountered there. They are not exclusive to self study.
    4
  13743. So slow is not necessarily a bad thing... I'm taking a bunch of refreshing tutorials online daily in order to go back to school and get a Math undergrad degree. Hopping to get some CLEP exams passed first.
    4
  13744. Really cool to see you making your own math books! I'd love to see you make a book similar to Serge's Basic Mathematics. Whatever topics you find interesting/enjoyable. I'll pick up one or two of these, looks like fun. You've really inspired me over time. Thank you
    4
  13745. Me and the boys becoming mathematicians
    4
  13746. You're a lifesaver!
    4
  13747. Thank you this video really helped me understand it.
    4
  13748. Hey Math Sorcerer can you make a video on "A COURSE OF PURE MATHEMATICS" by professor G.H. Hardy
    4
  13749. Hey, i am from India. Here we have jee advanced exam for ug engineering institutes. I would recommend you to solve it Jee Advanced paper in the video. I would like to see your reaction on it.
    4
  13750. thank you this question ass it came in my school exam😀
    4
  13751. As a statistics student in progress, many good ideas of your video does inspire me a lot about how to learn math. Definitely like and subscribe!!!
    4
  13752. Great
    4
  13753. "I watch all his YouTube videos". Lovin the idea of Feynman as a YouTuber. I wonder what his channel would be called?
    4
  13754. Thank you for the video ..
    4
  13755. Just got Kreyszig's book for 5.68 euros (6 dollars), that's really cheap for a 1102 page book.
    4
  13756. Aa gaya samaj me 👍👍👍👍
    4
  13757. any recommendation for a book on real analysis?
    4
  13758. I'll be almost 30 when I start my undergrad studies next fall. I almost gave up on going to college too until I read "the growth mindset" and "a mind for numbers".
    4
  13759. I love math 😄
    4
  13760. Wish we all have tons of luck ^ω^
    4
  13761. Yes it is. Que the outro, Mr. Wizard. I'm biased.
    4
  13762. Hello Professor ("The Math Sorcerer"), could you make a video analyzing Lipman Bers' Calculus book (volumes 1 and 2)? Thanks
    4
  13763. I have an older edition of Lang's "Algebra" from Adison Wesley. That is about all I can say. The book is way over my head. Gallian's book is way better for me. BTW, could you perhaps sometime do a video or two on Lebesgue measure and integration?
    4
  13764. Awesome. I would like to understand how complex functions map lines and circles. Complex analysis is vectors on steroids.
    4
  13765. Dear sorcerer, do you know a good book that talks about the history of the zeta function? Thanks
    4
  13766. Perfect!💯
    4
  13767. Dear sorcerer, do you recommend using calculus by spivak with only knowing the basics of algebra and trig(functions, transformations,Pythagorean identities)? Thanks in advance
    4
  13768. magnificent .
    4
  13769. TMS, this advice is great and all, but this does not change the fact that in Australia there are 48 million kangaroos and in Uruguay there are 3,457,380 inhabitants. So if the kangaroos decide to invade Uruguay, each Uruguayan will have to fight 14 kangaroos.
    4
  13770. The Math Sorcerer happy new year by the way!!
    4
  13771. i disagree with almost everything said with so much ferocity... but I must go study lol. hopefully I'll be able to come back to this and re-comment
    4
  13772. Sir, this lecture was very nice, but please dont wipe the Whiteboard with your bare hands Sir, they are harmful for the skin Also sir, you explained those Problem Sums really nicely, they were really tough for me to understand, but now I have clarity on the Story Sums, Thank you:)
    4
  13773. appropriate pizza analogy. dover books 'fed' me during my 20s.
    4
  13774. Good stuff!
    4
  13775. measure theory =(
    4
  13776. Thank you so much! You have made this SO easy and comprehensible.
    4
  13777. Technical analysis is not absolute. It's not a guarantee to achieve profits. It is, in the strictest terms, a graphic probability indication of where the price movement of an asset " may" be within a certain period of time.
    4
  13778. Very good video and extremly helpful. Please do more videos like this with basic examples.
    4
  13779. MIT? And not Gilbert Strang's book?
    4
  13780. Wow. Can't tell how motivating this was, and at the most opportune time. I gave up on Maths 6 years ago and dropped out of my Math-heavy research degree. I have gathered the courage this year and applying for Ph.D. in Applied Maths. With 2 days left for deadlines, this is what I needed for motivation.
    4
  13781. I hear a lot of people saying Micheal Spivak was a very good writer, mentioning his Calculus book. I wanted to know if Calculus on Manifolds is also good.
    4
  13782. Sir please do the problem by changing sin to cos please sir
    4
  13783. i know it's an old video but 2:33 would we also have to prove a lemma to show that it equals 0 or are we just allowed to say it equals 0 by our intuition? just wondering because sometimes in my real analysis class we will encounter something that is obvious but we have to prove it.. great vid!
    4
  13784. This video for me was a hand-holding session more than anything else. There are hard moments when you need someone to hold your hand and stop you from feeling bad. Great video! Thank you!
    4
  13785. haha
    4
  13786. I used to work with the "Piskounov" calculus book, that was hardcore...
    4
  13787. Thanks I was looking for a video on math proofs (I speak spanish but this will do)
    4
  13788. Wizard, every night when my wife and child sleep I crank a few chapter-s a night. I’ve crossed over from College algebra to Trigonometry. I found considerable overlap from a CA-Trig to PreCal-Trig. CA teaches right angle Trig juxtaposed to Pre-Cal teaching unit circle. What is the reasoning for this?
    4
  13789. Man what a legend man. A real bronze age man
    4
  13790. Awesome! Thanks so much sir! I liked the video. So I hit the tumbs-up button and i got a reward. The thumbs-up button got bigger and blew up I mean there was confetti everywhere
    4
  13791. 1st
    4
  13792. I've wanted this book for years, even though I'm certain I couldn't process most of it. Thank you for the overview!
    4
  13793. Waiting for this video Thanks for uploading.
    4
  13794. I am from Somalia my teacher My teacher, I have benefited from you a lot, I want to know how to teach English in the best way to learn I am from somalia help me learn a lot of maths I study engineering city
    4
  13795. really cool!!! You should also review linear algebra by caron and Salzmann, would be great ^^
    4
  13796. Great! Q: Why it must be equal to zero?
    4
  13797. Second
    4
  13798. Could you do a more reviews on Chris McMullen books
    4
  13799. i love this guy lmfao
    4
  13800. I think it would be helpful to include some LaTeX lessons as well.
    4
  13801. Some people put aside friends, family, tv, music, etc to learn math. Hey, they make it.
    4
  13802. I love your bookcase, "Origametry" caught my eye and now I fell into a rabbit hole Looking at Tom Hull's work! Fantastic stuff, I always learn neat things watching your videos!
    4
  13803. My university used to use this text for our sequence of two semester linear algebra text for math majors. But it switched to Insel, Friedberg and Spence's Linear Algebra about twenty years ago.
    4
  13804. thank you
    4
  13805. you look like Isaac Newton 2.0
    4
  13806. Yeah I learned I this to late. Began studying Calculus in my 40's. It's actually not that bad.
    4
  13807. You have inspired me to become a mathematician
    4
  13808. Thanks for the part from 0:00-(~4:41), since the book didn't feel like explaining this barely mentioned property, which puts the entire concept into a much more digestible form.
    4
  13809. The cover gives some black magic vibes
    4
  13810. From the index: Circular reasoning: See reasoning, circular. Reasoning, circular: see circular reasoning. Took me forever to find that chapter.
    4
  13811. THE INTEGRATION OF FUNCTIONS OF A SINGLE VARIABLE G H HARDY MA is available as a pdf from Project Gutenberg.
    4
  13812. Thanks sir , I am from India. 🙏🙏🙏
    4
  13813. manorama abc That's pure quality.
    4
  13814. I dont know, i love integral techniques in calc 2, so DE is harder for me, especially PDE
    4
  13815. Thanks man, that was quick and awesome. You also have magnificent hair.
    4
  13816. U saved my life thank u for this ur so easy to understand 🙏🏻🙏🏻🙏🏻🙏🏻
    4
  13817. Thank you for yet another wonderful video, "Dr. Sorcerer!!!" Love 'em all and YOU too!!! :) :) :) :)
    4
  13818. Thanks, you solved a my problem with a sqrt(i) in a module!
    4
  13819. That looks like a fun book. Nice for reading on a rainy afternoon.
    4
  13820. I have that book. 10/10.
    4
  13821. A great topic. I was first exposed it reading the Bowditch (American practical navigator) in the Navy. You can find both volumes for free online from NGA. Bored on watch as quartermaster and not knowing any calculus at the time, I was trying to estimate the total waterspace assigned to our unit, which although rectangular, the calculation of it was not so simple when you take into account the deformation of the shape as it is superimposed on a sphere. Turns out there are great analytical solutions with Napiers' rules/spherical excess to these types of problems that completely avoid the use of messy double integrals and polar coordinates.
    4
  13822. Is noone gonna mention how the fuck he is holding that pen?!
    4
  13823.  @TheMathSorcerer  it’s because of you and this community for the encouragement and motivation.
    4
  13824. Thank you. The is an outstanding checklist to develop focus. I have executive function and impulse control problems so having this list in front of me when I sit down to a task is super helpful.
    4
  13825. what the actual hell… i need to go back over my notes 😭
    4
  13826. My multi variable calc professor freshman year: "There is no study guide for your final exam, just make sure you review what we went over in the book" also - Student: "How did you think of that to get the answer?" Him: "I just know that this formula exists so I thought it might apply"
    4
  13827. Love this. Thanks for the motivation Sir
    4
  13828. I was waiting for this one, thank you.
    4
  13829. Thank you
    4
  13830. I'm learning statistics remotely and its AWFUL. I just read the textbook version of these and immediately came to Youtube to find a teacher who could explain it with an interesting voice and simple way to explain...so THANK YOU....understood...check!!
    4
  13831. Could you do a video about combinatorics if possible?
    4
  13832. Math will encourage you to build resilience and patience when solving a problem. Keep going and question everything you can to build better understanding.
    4
  13833. Great!
    4
  13834. Absorbing 👏🔥 yas. Story is so often missing ! Will buy the book!
    4
  13835. Thank you, I always appreciate your advices it does really help, keep growing and stay happy, you're doing good for others.
    4
  13836. Calc 2, hands down; and for all the reasons you mentioned. While not part of your question, have heard several people mention discrete math was harder than calc--these people are just flat wrong! Discrete had its challenges, but calc 2 THE hardest
    4
  13837. Thank you. I just finished my semester and struggled through Advanced Calculus I and now next semester I’m taking Advanced Calculus II, Abstract Algebra II, and my senior research project. I’m burnt out, feeling maxed out, and I don’t know how I’m going to survive next semester. This pep talk definitely helps. As long as I can make it through these last 3 classes I will graduate. It’ll be tough but I’m starting today, the first day of winter break, by going back through all the topics we covered in Advanced Calculus I so that I can start on a better foot then I did this semester.
    4
  13838. My man be solving problems all night
    4
  13839. Just wanna ask you I’m a 7th grader and I’m wondering if i should do stuff out of my comfort zone and how should i approach math and studying as a 7th grader
    4
  13840. Ok thanks 🙏
    4
  13841. Swag book😳
    4
  13842. Pretty simple...
    4
  13843. I'm a psychologyst. I'm 37yo. I want to make a habit to study coding and math everyday, at my own pace and learn how to think abstractly. I'll start following your videos
    4
  13844.  @TheMathSorcerer  unfortunately, no. There's only Portuguese copies of the second (it's from a friend of Manfredo Perdigão do Carmo, who wrote Differential Geometry of Curves and Surfaces. It's almost his mentor)
    4
  13845. this was really helpful, thank you!
    4
  13846. Man, I love you for what you do for students and future maths aspirants.... God bless you.
    4
  13847. Very nice video🔥 -Can you make a video for physics books?
    4
  13848. As a big fan of this channel and the community it has created, I have to say "Hours per day" is the wrong metric, the "grind" is overrated and "studying" is not the same as learning. Without any measure of progress one can't know if they are learning. One should define a progress metric and then measure progress using various study schedules. How many consecutive minutes before a break? How long is the break? How many such sessions per day? When do you take a long break? How much exercise per day (to stimulate blood flown the brain to eliminate its metabolic waste products)? How many study days per week? The science is known on how the mind learns. This is why the Pomodoro approach exists. Giving the mind idle time is essential to learning so it can reorganize and correlate the info. Ability to recall what you studied, interpret it, and relate it to what you already know constitutes learning. In math parlance, hours per day is necessary but not sufficient. Break time per day is also necessary. It's an optimization problem and it ain't linear. 😊.
    4
  13849. First comment.
    4
  13850. This is amazing
    4
  13851. I used to think I didn't understand trigonometry but after around a year I realized that what I didn't understand is how specifically a calculator calculates each ratio. Thank you for this video I have been thinking about starting to learn calculus.
    4
  13852. bro woke up to solve a quadratic equation
    4
  13853. I'm a fan of your channel and nirvana. Greetings from Brazil
    4
  13854. Sacrifice!!!!! That is what i looking for
    4
  13855. There is a trick if a softcover book doesn't lay flat and you don't want to break the spine. you can lay the book with it's spine flat on a table go to a few pages from the front and from the back of the book and press down. And then repeat this for the whole book. This will soften the spine and will make it a lot easier to read softcover books.
    4
  13856. Great explanation !! thank you
    4
  13857. These sketches is the reason why I subscribed. Hahaha
    4
  13858. Oof that gave me anxiety 😂
    4
  13859. first againnnn
    4
  13860. Wow, how do you write while holding your hand like that
    4
  13861. Almost All books are Available in ebook(pdf,epub or djvu) format on Libgen.is and b-ok.cc
    4
  13862. Although the advice was important, but it was very generic. It applies to almost every field and skill, not just math. It was generic to the point of being clichéd
    4
  13863. My geo book was $300 😂😂😂🤦‍♂️
    4
  13864. best video I found on this topic. Thanks!
    4
  13865. I picked up that calculus for the practical man book on the second chapter, but I'm still learning trigonometry(so almost there!)
    4
  13866. I feel that you are my problem solver
    4
  13867. Wish we had You Tube back in my student days.
    4
  13868. Hiii
    4
  13869. Great video.
    4
  13870. In summary. When you find that you don't want to do your maths... Do MOAR Maths!
    4
  13871. I remember being taught how to find the distance of complex numbers, IIRC it was in trig in highschool
    4
  13872. I totally agree!! I was not thinking it through when I registered for 4 math classes last semester, and now I am "dying"......
    4
  13873. What is the difference between this book and the book ”Abstract Algebra” by the same authors?
    4
  13874. Great video. Very good points. Never saw "Rudy," but always thought of "Gattaca" with Ethan Hawke on that same inspirational level. Gattaca is about a man with genetic flaws living in a world where people are genetically engineered and given advantages. He has to break some of the rules in that society in order to have the opportunity to accomplish his dream.
    4
  13875. Lol!!
    4
  13876. Absolutely that helps ... thank you sir .
    4
  13877. I'm in same situation. Although engineering is introducing me to various disciplines all at once
    4
  13878. Some day I'll buy this book
    4
  13879. That's insane. I wonder what the average grade was, seesh
    4
  13880. I started using paper with no lines and I love it!
    4
  13881. You will need an access code for the access code
    4
  13882. It can be understood as a Riemann sum and thus calculated using an integral, the one of 8(1+4x)^3 between 0 and 1.
    4
  13883. Beyond thankful for this 🙏 and thanks for showing what the problem actually means
    4
  13884. I was hoping a Spanish narrated video for the review, but I guess any will do. Now only the other two books Aritmética and Geometria y Trigonometria. That is the reason why I bought the Aurelio Baldor books, to help expand my Spanish vocabulary. There is also "BALDOR Cuadernos de Ejercicios". An Algebra workbook, which was created in 2017. As well "Solucionario de Baldor". Edit: I had no idea there was a Math Sorcerer Spanish channel. Gracias!
    4
  13885. I would have loved to do all those exams 😄 Easy A😋
    4
  13886. Same here!
    4
  13887. This guy speaks the truth - his words resonate so much, they always make me laugh. I'm the sort of person that wastes hours trying to understand something and can't move on until I get it - it's genuinely tiring.
    4
  13888. Tried studying from week 1 up until the final exam, but the nerves get the better, all the time. Never failed though so at least that was alright
    4
  13889. "Math and Science are hardcore.......................... oh and Engineering" hahahah
    4
  13890. love your hair dude
    4
  13891. I did chem E. I think it was difficult because of the sheer amount of work required. Lab reports, lengthy assignments, tests and exams really weigh on you. The classes are of moderate to high conceptual difficulty, but again the main thing is the sheer volume of stuff they throw at you. That being said, higher level maths and physics is incomprehensible to me, and I would wager most of it is very abstract and theoretical ( from what I've seen of it). I can only imagine spending 10 hours on a single proof. So maths and physics are clearly the most difficult, but engineering is also real grind in terms of a huge volume of consistently difficult classes.
    4
  13892. Since this is the first video I saw on this channel, I will actually work for the solution... Sir you asked if there's a simpler way to do this, the way by which I have done it might be simpler Instead of proving P(k+1) is divisible by 7, we will prove P(k+1)-P(k) is divisible by 7 If it is true then automatically P(k+1) is divisible by 7 because P(k) is divisible by 7 P(k+1)-P(k) =24.3^2k+4.2^k Now let's write this in the P(k) form We get 8(3^(2k+1)+2^(k+2))-7.2^(k+2) Which is 8(P(k))-7.2^(k+2)) Which is divisible by 7 Hence P(k+1) is divisible by 7 P.S: I have an online math exam tomorrow xD
    4
  13893. Michael D. Greenberg's "Advanced Engineering Mathematics" is a good one. Electrical engineers will usually fall face first into Laplace transforms for getting into the s-plane and then control engineering will deal with the poles and zeros of the transfer function. I used these concepts without understanding the theory of residues and conformal mapping for years, but once you "dig into" the final chapters of nearly any "advanced engineering" mathematics textbook ...there you are...and the world is your oyster then! :)
    4
  13894. Thanks, man ! very useful!
    4
  13895. Since you mentioned Quants I wanted to know what you think of Jim Simons? I mostly heard about him from finance people and I am curious about what math people think about him. I know for sure he made contribution to math with the Chern-Simons thingy.
    4
  13896. Compilers was one of my favorite subjects during my bachelor's degree. So much fun stuff, and very important and relevant for programmers.
    4
  13897. You really looks like newton 😀
    4
  13898. Teaching on You Tube and getting paid is also a possibility.
    4
  13899. That's a very good advice! I need to work on it. I have a question, what to do when the book doesn't have the problem's answers? I study by myself, so I don't have a teacher to look at my answers or to "grade" my progress... And a lot of science books just don't have the answer... What if I'm just doing everything wrong and the error is propagating in other subjects?
    4
  13900. Well explained! Cheers!
    4
  13901. This video was great! Your explaining is excellent. Thank you!
    4
  13902. Do you enjoy recreational math books? If you do, could you do a review of your favourite ones?
    4
  13903. Could you please do a video comparing Spivak and Apostol?
    4
  13904. Thanks for this video. This really helps us out a lot. God bless you.
    4
  13905. I read this book in college out of the library loved it
    4
  13906. My undergrad school used this also for their honors calc sequence at University of Rochester.
    4
  13907. Larson Linear algebra
    4
  13908. thank you, I started a course about this things, was confused for a bit, but now its clear
    4
  13909. Good Start....
    4
  13910. Today I'm first !!!!
    4
  13911. Same here!
    4
  13912. This video is very funny and it is one of your best. I do not like test on the computer because they watch you through a camera alot of times and I do not find it acceptable because it can compromise privacy. I did not like doing math problems on the computer. I prefer to practice solving math problems with a pencil, some paper, a protractor, and a calculator.
    4
  13913. Could you recommend a book of differential geometry ?
    4
  13914. Thanku, great advice
    4
  13915. But all these kids at olympads and what not , people like Terry tao , they all are all very much smarter then me , and no matter how hard i work , no matter what i do , i will not reach em
    4
  13916. I'm from India and I agree that the system here is quite rigorous; but I should say that mathematics here isn't presented mathematically at all, and the way it is dealt with is more suitable for an engineering degree rather than a pure maths one (because ofc the maths is for engineering entrance exams). I am in high school myself, stuck preparing for one of these exams, and I've come to know that the preparation leaves no time for other mathematical pursuits, such as solving Olympiad or Putnam problems.Obviously, these engineering exams are the reason India isn't at the top in the IMO, despite having such a large population willing to devote themselves to maths. The U.S. does a good job in this respect, for everyone is left to themselves. If one has sufficient interest in the subject, they can spend much time self-studying advanced topics, without the institutionalised syllabi of engineering exams restricting their mathematical journeys.
    4
  13917. Dewey decimal system
    4
  13918. thanks
    4
  13919. Careful Mr. Simons
    4
  13920. I've put this in my important videos playlist. it's a playlist filled with videos that lift my mood and make me happy. honestly i consider this as a shame that stupid mindless people like Markiplier, ninja and other 'content creators' have billions of subs whereas a true hero like you, a relitable human being who spreads joy and knowledge doesn't. i hope and pray for your success, you are a true hero
    4
  13921. Hi, I am a 10th grade student who got interested in maths this year. Can I be good at mathematics if I didn't study too much in the past years? (I wasn't bad at math, but I wasn't interested) I learn a lot now. My only problem is geometry... I am very bad at geometry, how can I improve my geometry skills? (sorry for bad English.).
    4
  13922. great vid! go to grad school as soon as you can enjoy math! enjoy life! later on you are just going to buy things that own you. for those young people you have no idea if you have a significant other how many opportunities will come and go because both your lives have to change.
    4
  13923. Thank you 😭🤧
    4
  13924. I’d guess Indiana University.
    4
  13925. The only complain I have about this video is that I wish this was longer
    4
  13926. Took cal 2 over the summer. Lot of memorization. Disk/shell is a bitch. Teacher was terrible. Online also. But i still came out with a B. Cal1 was harder for me imo. Wasn’t use to the amount of work
    4
  13927. Do you think studying some proofwriting is a good idea before uni? If not, any other recommendations? Thank you!
    4
  13928.  @lukamitrovic7873  You're welcome. Also thanks Math Sorcerer for the recommendation - I'm actually looking for a new book on analytic geometry. I also really liked your recent video covering the books needed to study "from start to finish". (Finish... Ha)
    4
  13929. Sri Lanka right 😍😍
    4
  13930. I study math in Germany. This are my undergraduate math courses in every semester: 1) real analysis 1, linear algebra 1 2) real analysis 2, linear algebra 2 3) integration and measure theory, probability theory 1, numerical analysis 1 4) introduction to abstract algebra and number theory, function theory, prob. theory 2, num. analysis 2 5) abstract algebra and galois theory, functional analysis, geometry and topology 6) algebraic topology, geometric group theory, functional analysis 2 7) Lie algebra, partial differential equations, Modular Forms and elliptic curves
    4
  13931. When the sir starts with triple integration and you have just done double. Brain Cells: I'm gonna sleep, you deal with those problems.
    4
  13932. Could you make a video about books on math history ? I've heard there's a book about how they came up with calculus
    4
  13933. Im in high school and hated math But for some odd reason now that im studying for my finals and its possibly the last time i ever study math.....I finally see the utter beauty in math Even though im not very good I think i might study further on my own just out of pure interest
    4
  13934. why alpha and beta, are respectively 0 and 1 ?
    4
  13935. Vector calculus,linear algebra and diffrential forms by Hubbard is suprisingly really good. I currently self studying it for Calc 3 and linear algebra (My school doesn't offer math above AP Calculus). They gives almost all the proofs and comments to the theorem which really helps me understand the mechanics behind it. Even though I still struggling with the calculus part since limited experience with proofs and also the use of notation Di F (i is a subscript) to denote partial derivative instead of curly df/dx which I got used to from Calculus. It also helps that there is a solution manual to all odd numbered problems!
    4
  13936. I haven't studied maths since GCSE's, that's exams in the UK when you're age 16, I'm currently in my early 20's, and wouldn't mind spending the next 4-5 years at catching up. I want to learn maths, go into PDE, statistics, probability, Brownian motion, for options trading. I've seen your ' learn maths from start to finish', and I'm ready to give it a go! Would love to hear your feedback on whether I'm stupid to think I could self teach myself graduate level maths, or not
    4
  13937. Im like ok with calculus, but what gave me nigtmares was Real Analysis. Once i'll conquer, it'll give me the comfidence.
    4
  13938. Electrical and electronic engineering is at the top of the list. I totally agree with you hommie
    4
  13939. My sister went to Union college. Some of my best memories were my parents driving there from NYC. I was in elementary school so I had to come along. I remember My Mom would pack fried chicken with bread and how it actually tasted good cold. I enjoyed seeing the transition from city to rural country side. Small world.
    4
  13940. Awesome!
    4
  13941. Not having answers/solutions to problems and exercises strikes me as very weird. How am I supposed to be sure that I have learned correctly if I can't make sure that what I have done is correct? This is, in my opinion, a big problem among mathbooks. I read a lot of them and this is very prevalent. Why is this? Is it because the authors are lazy? Hardly, mathematicians are not lazy or else you wouldn't be a mathematician. What do you guys think? I really have no clue and I quiet baffled by this "standard".
    4
  13942. The best one I had was You should know beyond the material covered in the book for the exam!
    4
  13943. I personally really did not like discrete mathematics, probably my lowest performing mathematics ever. I had gotten a 101% in my university calc 2 class and took discrete maths shortly after and barely got a 71% lol. I did find learning about proofs really interesting though, it's cool how there is a standardized language for properly expressing concrete mathematical concepts and what makes them either definitely true or false
    4
  13944. This is an old book that has been on Dover publisher a long time. It is a classic dif-eq book.
    4
  13945. tq sir
    4
  13946. I feel like I was constantly pushed too hard learning math and I coped by recognizing patterns between problems and formulae. I would solve problems using the methods taught in lectures, but conceptually I would eventually lose the context of what is happening. As a result, I feel like my math education is like Swiss cheese. Now, as an adult, I have to revisit mathematical topics. A lot of math started making sense when I started working on more difficult computer science problems. In game development, whenever I encounter a mathematical problem, I get a small look into why the math exists and the dots connect much easier. I'm going through a computer graphics recorded lecture series right now and linear algebra and discrete spaces are becoming more of a practical tool than a task to get a grade. Lots of moments where I thought, "Oh, that's what this math is for". I end up learning math a lot easier when I'm not learning math directly, which I suppose is different from the math sponges I would see in school. PS your tiel Juan is a cutie!
    4
  13947. Thanks mate! Perfect timing, going back to Year 12 advanced in a week and desperately needed this :)
    4
  13948. 0. Remove distractions.
    4
  13949. Mathematics is like a ocean to learn it's nature is salt but with out salt we can't eat anything like maths ... Without maths in this generation it's setback to develop our career
    4
  13950. Is the secret eating three slices of pizza?
    4
  13951. first
    4
  13952. I love creating equations from the given information in word problems. I am not the best at this art but I love the challenge. Let x be miles per hour and y be time in hours.
    4
  13953. Im taking differential equations right now. And I can really tell that my fundamentals are not where id like them to be. I mean I do pretty well, but having mastery over something as simple as fractions just takes you into that upper echelon of Sorcery( pun intended lol). Algebraic manipulation is art, the calculus is the easy part
    4
  13954. Consistentcy and intensity have really been the key factors for me. Smaller chucks of really focused studying everyday instead of long periods of time where my mind begins to wander (usually around 40min) helps me out a lot.
    4
  13955. O
    4
  13956. I love the video you made. Cute little birdie you have there.:)
    4
  13957. ... or "How to get your ass kicked by your classmates"
    4
  13958. I am a girl and I want to major in computer science bc I am in a place where money is the only thing that can save me. I’m scared cuz it might be too hard so thanks for the advice
    4
  13959. Master of procrastination , started to watch ur video but got demotivated after 10 sec and left out
    4
  13960. Dear Sorcerer do you think I can become decently good at math even though I can’t go back to college ? I kinda of regret my previous degree.
    4
  13961. Good video!
    4
  13962. The Math Boss sounds like a great YT channel name.
    4
  13963. Don't response thought about it, bachelor level is possible within 10 months. fields medal: challenge, can be speculated because creativity and research/entrepreneurial skills fields medal, 5-10 years is more realistic some contributions might be possible within 10 months
    4
  13964. How difficult is a discrete math class? Taking it next semester.
    4
  13965. What sections of Calculus 1,2,3 i need for Probability and Statistics 1? I need to brush up for next semester. Is there a book u recommend?
    4
  13966. 😮
    4
  13967. Nice Video. It's Really Fun To See These Old Books!!!!👏👏👏
    4
  13968. You are always help me for self growing
    4
  13969. I used to be really good at maths, I liked it, I always got a 10 in all my exams... until I stopped paying attention, I was all the time staring at my phone’s screen with nothing else in mind, ugh. I regret bc I missed a LOT. Thank god I found this video 👊🏻👌 nowadays I really want to get into Oxford university. Hope this helps 👌
    4
  13970. As someone who's about to turn 40 it's very encouraging. I still have a dream of getting a PhD, I just don't know which field to choose. 🤣
    4
  13971. That's pretty slick! I first came across the concept of expectation value in the context of Quantum and Statistical Mechanics.
    4
  13972. Thanks so much! I bought the college algebra book from blitzer and I really like it.
    4
  13973. Third
    4
  13974. Thank you. Great video again.
    4
  13975. This was such a great intro to DEs. I’m taking it for my next term starting next week. Brilliant! Ps the camera moves too much, makes me feel a bit sick :p I’m guessing it’s got a tracker? It’s a shame, as the lecture is so good.
    4
  13976. wow javascript make it to Math Sorcerer channel.Hence it will go places .for instance spacex uses it.....😂😂😂😂
    4
  13977. MAY GOD BLESS U AND UR FAMILY FOREVER
    4
  13978. it's confirmed. Math Sorcerer keeps scrolling through reels too
    4
  13979. Can you review a stochastic process book please sir
    4
  13980. The books are terrible quality, but damn is it readable. Spend a day reading Tao and spend a day reading Rudin and I guarantee you +95% of students new to the material will prefer Tao. It's so so so digestible it's honestly uncanny.
    4
  13981. Props to the repetitions from previous lessons. I think that really engraves the concepts in the old tin can
    4
  13982. math sorcerer are you enlighten being?
    4
  13983. Please, Calculus is nothing when you compare to proofs!!!
    4
  13984. Honestly I started enjoying math when it stopped coming easy to me which was pre calculus
    4
  13985. Me encantan tus vídeos, con mucho entusiasmo
    4
  13986. If they do go online then drop them.
    4
  13987.  @Domzies  I feel ya
    4
  13988. Gracias hermano lo necesitaba, saludos desde Mx
    4
  13989. I had had some problem with this function until I saw your video. Nice job bro, thank you so much
    4
  13990. I'd love to see more philosophy content if it interests you to make more.
    4
  13991. Thank you, this video was a lot of help
    4
  13992. I was so stressed out until I found your video. Thank you for reminding me that math is actually fun, great explanation!
    4
  13993. I do not consider Halmos a beginner book. Start with Schaum’s outline on sets. The older the version the better.
    4
  13994. My main reason is to see the beauty of it! Love maths, thank you for your videos, they are the push to give the extra mile
    4
  13995. Dummit and Lang appreciate this thickness.
    4
  13996. How many years does it take my big brother 🤜
    4
  13997. Thank you for all you do.
    4
  13998. I am in my 24. I was good in maths and science in high school. My limits of understanding kinda end at vector calculus. I struggle with dell fun. I got bad decisions from my parents and left studies after i was 19. Please i need advice on whether i would be able to do job while i also studying maths and physics.i want to do everything fast cause I've lost alot of my time
    4
  13999. I just found out my university has the algebra through practice series books 1,2 & 3 ALL IN ONE BOOK, so I borrowed it. I want to 'lose' this book just to buy it from my school :/ ._. :'(
    4
  14000. 👍🏼
    4
  14001. So intriguing, he is on a wild trip.🎉
    4
  14002. is it good for beginners?
    4
  14003. Not exactly. It's best to follow a general chemistry 1 class or buy a general chemistry text book
    4
  14004. Again first :)
    4
  14005. shaping yourself to become better human being :) for yourself and people around.
    4
  14006. @ Very cool! THanks for sharing!
    4
  14007. What is the difference between "advanced calculus" and "real analysis", depth?
    4
  14008. Here is my thoughts on the matter. In general: Is a math degree worth the sacrifice? Yes, it is very rewarding and you'll view things differently and it does give you skills to work in several different industries such as tech, finance, etc. However, in this guy's specific position: A bachelors in math? It really, really depends. Like Math Sorcerer said, learn what you want to do first. A degree, even a 2 year long master's, is a big commitment in terms of both time and money. So before you blindly jump into math, even though I personally love it and would recommend studying it to anyone, figure out what exactly type of job you want to learn. Afterall you can learn math in your free time if it is just a passion thing but you don't want to work with math. Once you have decided what job you want, ask yourself if a bachelor's or a master's makes more sense. In my opinion, a master's would probably make more sense with most jobs since you already have a bachelor's degree. Whether you want a master's in math, computer science, engineering, etc, even though it might be harder to get into than a bachelors, the time (and probably money) commitment are both less and you have a higher earning potential. Jumping from cell biology to math or CS might be challenging, but it is doable. A lot of universities will say "Requires a bachelor's of math or related fields", I think for most STEM degrees cell biology would probably be covered under "related field", however even if not, what they really want is for you to demonstrate you have the fundamental skills required. You can take online courses, see what courses that school teaches and try to teach yourself some, take one or two community college classes here and there to get the basics, etc. In the current world we live in, you have access to all the information you could possibly need. Tl;dr: For this guy's position follow these steps: Learn what type of job you want, determine whether you want a bachelor's or masters in that field, if you choose master's then take some time to learn the pre-reqs online or at a community college, get the degree for the job you want, profit
    4
  14009. I'm procrastinating by watching video about procrastination
    4
  14010. This is Golden Advice! I am cheering on the person who sent the email! You can do it!
    4
  14011. Only thing I want to say it : you got this!
    4
  14012. Is it only me or he looks like isaac newton😅
    4
  14013. Where is Calculus by Simmons!!!!!????
    4
  14014. Disagree. We need variety in our book smells.
    4
  14015. If you have the time for tackling the exercises, you probably have the time to read the text. Even if you already know about the topic, one can always get a surprise.
    4
  14016. Muito Obrigado
    4
  14017. passing linear algebra on the third try and ditching maths for physics because i like the maths in physics more than the maths in maths. some weird geometry problems in physics is mind-blowing, e.g. sympletic geometry, complex geometry, kahler stuff, ..., etc.
    4
  14018. For your viewers I would like to give this advice as from my experience. JOT down each theorem and their proof line by line ,words by words and ask yourself these questions how this comes ,how this two are related .and try to answer them .Leaning Maths will be like a sipping of tea from cup. Best wishes .
    4
  14019. Damn, this saved me, thanks!
    4
  14020. Great advice... one reason why doubters never succeed is simply because doubting is a real expenditure of mental energy. Doubting is an actual act of the mind, it is the spending of mental time and energy spinning your mental wheels. Dont do it. All of that mental energy and time is better spent actually thinking about the math problem.
    4
  14021. notes are important. you bother to take the course in the first place, so you should take notes to have a reference for the professor's point of view! even if you think you understand the subject studying good notes may help you clear up a misunderstanding you have and they may even provide you with an insight in what the professor thinks as important for exams ;-)
    4
  14022. So jealous that you have a signed version!
    4
  14023. Do a review on plane trigonometry by SL Loney
    4
  14024. Aside from my rant, great video Math Sorcerer. Thank you!
    4
  14025. I clicked on this because the book's font is the same as The Elder Scrolls lol
    4
  14026. take an iq test
    4
  14027. In the late 1960s (undergrad) and early 1970s (grad school) I used Kreyszig for the engineering math classes I took in the Math Department and Wylie for a couple of classes I took in the Engineering departments. I also used Hamming for numerical analysis.
    4
  14028. Looks like a great book. i like the pictures of the mathematicians. Using Mathemnatica to plot those 3d surfaces is a nice way to check those maxima, minima and saddle points as well, or to generate contour plots.
    4
  14029. Am Always Second Edit : Thnx Man 🌚
    4
  14030. Sir you are really looking like issac newton. May i ask one question.
    4
  14031. Thank You Prof, God Bless You in your whole life..
    4
  14032. Math changes the way you approach problems if you embrace it, this is my experience.
    4
  14033. Does anyone know how you send questions to Math Sorcerer?
    4
  14034. It’s almost impossible for me to understand from a text book, thank you so much!
    4
  14035.  @TheMathSorcerer  I would rather be stupid in league than in maths lmao
    4
  14036. Is teaching a good enough job to help support myself, a potentially well educated wife, a potential kid, and to pay back any student loan debt I may incur over 10 years, like eventually? That could be in 50 or 60 years of teaching for all I care. Assuming it is I think I will go for Math as my major. I just don't wanna be in the lowest tax bracket from the day I'm born to till the day I die, ya feel?
    4
  14037. Look at me just spamming Math Sorcerer's comment section, lol.
    4
  14038. yeah you can live, I mean you won't be able to buy the best things but you can survive, have food, a regular cellphone, a regular car, etc:)
    4
  14039. I really believe you should do what you love as long as you can survive off it. If you think you will really like it, go for it. Worst case scenario, you end up doing something else. But you should try if you want to!! This way you don't have regrets later if you don't do it:)
    4
  14040. Thanks, from Brazil
    4
  14041. I would like to thank Math Sorcerer for inspiring me to pick up my pen, paper and just spend some time every day to self study Math again. I absolutely love it!
    4
  14042. Very helpful
    4
  14043. Bruh
    4
  14044. AFTER THIS CORONA HAPPENED LOLLLLLLLLLLLLLLLLLLL
    4
  14045. The first start to finish video was great, this one was just as amazing. Thank you Math sorcerer for the wealth of knowledge.
    4
  14046. This is a classic Advanced Calculus problem.
    4
  14047. man i have been following your channel for over a year and I really enjoy your content especially book suggestions. It's helped me a lot
    4
  14048. My morning routine whenever I get up every morning hahaha. Reading, problems and looking over proofs to see if I can understand them one symbol at a time. Thanks for another funny video. I love the study music.
    4
  14049. I don't know this book, but I'll add that my favorite Discrete Math book is the one by Susanna Epp. It's clearly written and understandable - much more so than the Rosen book that everybody seems to use. One problem with comparing Discrete books is alluded to in the video: Discrete is like a "grab bag" of topics, not an actual cohesive and independent field (no pun intended) of mathematics. So the books tend to vary quite a bit in what they cover, beyond the bare basics.
    4
  14050. to put it in a different way, the brain loves being right about things. If you don't believe yourself and you try something a few times without succes, your brain is satisfied being right and stops caring, but if you do believe in yourself and you try something a few times and fail, your brain doesn't like itself being proven wrong, so you try again, but harder until you succeed, slowly noticing more improvement as you try again. That's how you succeed, by investing more effort into the tiny glimmer of light at the end of the tunnel
    4
  14051. Wow
    4
  14052. "Good luck. Go do some math." I am better off hearing this call to action
    4
  14053. Can you give me a link to a video explaining what you did at 11:35 because that seems like witchcraft to me.
    4
  14054. I had two professors who went to Cambridge and knew Hardy, Littlewood, and Ramanujan. One was a large, frumpy working class chap from Peckham, the other a small dapper gentleman who would feel at home in Highclere Castle. I watch many math videos but this one triggered decades old memories. I miss those days.
    4
  14055. taka e
    4
  14056. partali pravi
    4
  14057. Thank you for sharing. I have a low social battery myself. Lurking in math spaces online helps stave off the loneliness as well. And sometimes I even contribute to the conversation.
    4
  14058. You made a really good video. You made really good points in this video. No offense, but for someone who is 13, 25 does seem like a long time from now. :)
    4
  14059. Stop worrying about the sunshine. Stop worrying about the moonlight. Stop worrying about the good times. Just worry about collecting MORE BOOKS.
    4
  14060. Nice book but it is more of a workbook. The beginning of Series Chapter reads like notes. I want history, drama, definitions, speculations, insight… you know, what Mathematicians crave.
    4
  14061. I have this book in two tomes. It is one of the best ever. Got it from my uncle's brother who studied in the Soviet Union.
    4
  14062. you are such a fkn legend man THANK YOU!
    4
  14063. easy for him to say... don't ask a barber if you need a haircut but rick astley agrees with you at least
    4
  14064. Thank you very much sir ☺, Really helpful videos 😊.
    4
  14065. Very very very helpful. Thank you!
    4
  14066. This is the only source I could find on the history of analysis :(
    4
  14067. It depends actually
    4
  14068. i remember that violin
    4
  14069. Which one better Churchill or this book
    4
  14070. SLEEP AT LEAST 7 HOURS EVERY NIGHT OR YOU WON'T LEARN AS FAST
    4
  14071. tbh this video was helpful
    4
  14072. It’s so inspiring to see people who are older continuing to learn and develop. It really gives me a sense of hope as a young person. I have a question: have you ever felt “out of place” when studying maths? I grew up very maths averse but have been “converted” over the past three years. I’m now very interested in doing formal economic modeling. However, I still feel like an outsider and very behind when I’m with my more maths oriented friends. Aside from doing more maths, are there any tips to help me change my mentality?
    4
  14073. Another excellent presentation. Thank you.
    4
  14074. In my opinion, first your should find something (a subject, skill, trade, etc) that you are or that you could be passionate about, if you don't already have one. Then, if you can learn something about it before you finish highschool, try to do so. Sometimes this make a take a year or two, because what you though might have liked didn't really pan out after all and something else replaced it. This will be easier and cheaper to accomplish when you are living comfortably in your parent's home and have little responsibilities and other demands on your time and resources. Seriously, after you have moved out you will have to shop, cook, clean (etc) for yourself and this requires good time and money management. If you also work to put yourself through school, this will require even better time management. Maybe that should also be a pre-requisite.....Learn how to cook, when you still live at home, even just few nutritious staples (such as chilli, some curry dishes, stews, soups, pizza, roast chicken or beef, or whatever else you like to eat). I went back to university to do another post grad degree (I lived in residence for the first time) and I was surprised at how few of the students actually knew how to cook....and these were all post grad people (youngest about 22-23 years old, so they were adults, but had no clue how to look after themselves. They spent about 4 times what I did that year (or actually their parents were spending so much, whereas I was spending my own money so I was much more careful about it.)) That's my two cents worth, from someone with 4 uni degrees.
    4
  14075. ❤❤❤
    4
  14076. Hi sir
    4
  14077. I'm reading the mathematical proofs by Gary Chartrand, which is ur prescribed book for proofs, and I have gone through this problem at 307 th page
    4
  14078. Right now for me the great mathematician is "The Math Sorcerer"
    4
  14079. easy!
    4
  14080. this was gold, thank you!
    4
  14081. I am so getting this. Hail. I assume the wizard is the Hermes of computer programming. Edit: wow, I wish hardcover wasn't hundreds of dollars though. Dang.
    4
  14082. KKKKKKKKKKKKKKKKKKKKKKKKKKKKK
    4
  14083. Calculation is elementary , but the concept of the algebraic numbers is grad level , isn't it ?
    4
  14084. The sorcerer conjured some guns 😳
    4
  14085. The holes in the book are from someone repeatedly stabbing it with a pencil which anyone that that has ever gotten stuck on a proof will understand.
    4
  14086. Do you ever repair your books? There’s a beauty to that I think.
    4
  14087. Raise your hand if you were a smart-ass teenager the first & last time you took an Algebra class. Now that you are older & wiser, you may find revisiting topics that you were "bad at" are less confusing and intimidating. Nothing beats just getting started, wherever your "Square One" is. You can put your hands down now.
    4
  14088. You’re my hero! Thanks for the easy explanation
    4
  14089. Awesome!!!! <3
    4
  14090. I've read this, it's really good 👍
    4
  14091. and had hair.
    4
  14092. Nice
    4
  14093. You sneaky devil!
    4
  14094. I like these format of videos, they are short and interesting.
    4
  14095. I’m currently going to school to study math. I’m terrible at math but I’m determined to get better. Almost every waking moment I have is dedicated to my math class. I’ve never been so burned-out, miserable, and happy just to finish my homework on time.
    4
  14096. Watch as much video as possible from the Math Sorcerer will boost your confidence :-) Thank you again for this video
    4
  14097. I'm currently in my first year for my masters in math with a concentration in applied math. I took a two year break and am getting back into it. Currently taking analysis, linear algebra, and dynamical systems. It's really hard, especially analysis. I really needed this!
    4
  14098. Genius is a talent for producing something for which no determinate rule can be given, not a predisposition consisting of a skill for something that can be learned by following some rule or other. — Immanuel Kant
    4
  14099. Morning sir love from India
    4
  14100. Give questions that Google does not have My proof writing book is How to read and write proofs by Solow
    4
  14101. The real question is, when are you going to get a haircut? :)
    4
  14102. I always have Plan A, Plan B, Plan C and so on. I do all at once. If Plan A fails, then there's Plan B. If that fails, then I try Plan C. After that, Plan D. If all fails, I always have art to fall upon. Paintings are for my raining days. My family takes my paintings and prints them in giftwares and magnets, as business is not in my blood. My rule of thumb: I do NOT tell people (not even my family) about my goals, job interviews, ambitions, etc, unless I have achieved them. Otherwise, if I fail, others will remember what I'd told them beforehand and some of them could ridicule my failures. Best keep an air of mystery and be modest about goals & ambitions. As to planning, I do most of that at workplace where I am right now doing mostly shop-sitting. The weather here is very bad. Storm is here, so that keeps customers at bay. I don't mind, as I love the quietest times of trade, the time when I get to do my own things like reading books, watching video tutorials, practising Gregg shorthand, etc. Sometimes, I plan mentally during walks or in restaurants. Walking always jogs the thoughts and helps spur on ideas.
    4
  14103. I sometimes ponder on what if studying math was funny, kind of like you read math and every now and then you laugh at the text ,as if it was some joke you were reading, and get to that easy and peaceful mood when you just want to go on and get more of it. It would be so cool and productivity enhancing. Who knows if somehow it is possible to teach math that way, it would be just fantastic !
    4
  14104. you are the best keep on your good path sire
    4
  14105. Widen your memory with learning foreign languages
    4
  14106. These Brilliant videos are incredibly helpful!!
    4
  14107. This is one of the best videos! I feel that people say "Why should I learn Math because I'm not going to be an engineer/scientist so it's useless". It's useful to learn something and know it than not know it. People in school say we should never teach X or Y or Z because it's not directly applicable in real life. Not everything you learn must have an immediate direct application to your occupation for you to learn
    4
  14108. What is your opinion on the Schaum's outlines of calculus?
    4
  14109. This is so true and can relate to it a lot but not sure exactly what you mean or meant.
    4
  14110. Nice
    4
  14111. Is there a modern course that this would closely or even approximately follow?
    4
  14112. Thank you…I am listening, discipline and motivation are 2 different things. Thx for the video
    4
  14113. I absolutely love this guy. Super advice and super comedy. Subscribed!
    4
  14114. ive been doing math as a hobby to keep me sane. it works.
    4
  14115. I think it's because in the US, I believe maths is compulsory up until university but in the UK (for example) maths is only compulsory up to GCSE level (age 16) so whoever takes it beyond then must really like maths enough to be able to handle the really difficult stuff like analysis etc. In university here the first maths course we take is real analysis which is quite intense compared to the US where you start off with some basic calculus classes and then move onto analysis in later years.
    4
  14116. This video is a lifesaver!!! I’m so thankful for you 😭
    4
  14117. I love watching your vids math sorcerer they are very motivational
    4
  14118. Thank you for the video it's very helpful 😁👍 !
    4
  14119. One thing for sure you dont know how to use lux's E but it would be cool to see more league vidz
    4
  14120. OMG, yes they're buying all the meats! There wasn't even a chicken leg to be found at my Publix. I talked to the meat department and they said when they've restocked, they have watched people fill a cart and come back with a second cart. I'd be too embarrassed to act like that in public. It shouldn't be allowed. Makes me scared to think how people would behave in a legit crisis. Also, I'm In DE right now (soooooo much easier than the calcs). I have a kickass prof, but you've helped when he isnt available. Thank You! Stay well <3
    4
  14121. Bust it out
    4
  14122. This make so much sense and meaning and wish to understand and see more lecture of everything and wish to learn more also.
    4
  14123. @5:43-5:45 "Who's going to steal my math books? Me:🤐🤭
    4
  14124. Thank you for the amazing content! I really do like your beautiful videos, helpful and informative.
    4
  14125. Since this book has so many practice problems, its a really great book to photograph the exercise questions, and then print those out in a separate light weight packet, and if you have extra time in the library, or need a break, you can open up the packet and solve some problems Also at the end of each chapter is has some writing exercises for proof writing
    4
  14126. Do you have any books to recommend for primary teachers who teach math? thanks I want to better my own understanding so I can help my student better and make my lessons more effective.
    4
  14127. ty man you save me
    4
  14128. Personally, music is only useful at a certain volume for me. For some reason I find I can't focus on material if the music is too loud. For me to be able to still absorb material well, it has to be about at 6 (volume number on my laptop idk what to call it) with my headphones on. I use the music to motivate myself to seriously study for a while, like the hour-long study session you were talking about. I've studied listening to jazz, fantasy-rpg music, eminem, even some linkin park lol. Just has to be very quiet. If I can make out all of the lyrics without straining it's too loud lol. I guess I just like background noise.
    4
  14129. I'm 72 and I can think of no better way to keep ones mind from turning to jelly than do math and physics.
    4
  14130. Thomas Garrity's edge is definitely in math's storytelling. :)
    4
  14131. Sir i failed in maths , but i like math don't know why is this happening? I think because of my bad handwriting...guide me sir please
    4
  14132. I like what you say that if someone cheated their professors will know. What most people don't realise if they cheat and get away with it, is future employers will also be able to tell they didn't learn anything during a technical interview. My observations as an engineer with a PhD who's looking to hire technical people for his team is I personally don't care about the reputation of the school a candidate went, I don't care about their academic records, I don't care whether they cheated or not in one of the modules they studied. All I care about is if the person I'm talking to during the interview knows what on earth they are talking about, do they have a sound practical and theoretical approach towards an engineering problem, what is their level of knowledge and experience and is it appropriate for the career grade they are seeking? Are they a junior needing a lot of hand-holding and on the job training, which is also fine, are they really interested in the subject and motivated to learn what they don't know, or are they completely disengaged, and they'd rather be somewhere else? If the candidate falls in that last category, they probably held the same attitude while in school and they probably cheated their way out of school without learning anything. If the candidate falls in the former category, they were probably a decent student, did a lot of interesting projects in and outside of school, and this will show in the interview. Edit: I'd like to add I do understand why students cheat. There are students who want to pursue higher degrees because they are genuinely interested in the subjects. Entry to such degrees however is very commonly gated by grades in previous degrees and modules. It is entirely possible for a student to not be interested in all modules offered but they may not have a choice but to take some of those modules. Such a scenario could lead to cheating hoping they won't hurt their average. Another scenario is with students who are great at processing information, but can't remember what they had for breakfast even if their life depended on it. Both of these scenarios are fixable and it's up to the schools to implement appropriate measures. Giving students greater choice to structure what they study and having open book tests would definitively help reduce cheating in the above scenarios. Can't do much for the ones who don't really want to be there though..
    4
  14133. This is too good!!!! 😂 Do professors actually not believe in tests and grades and stuff and a lot of stuff you said?
    4
  14134.  @TheMathSorcerer  oh lol 😂 I've been watching your videos all day btw!!!!
    4
  14135. Loved this video. Now it's time to work some math problems in complete silence, too. 🙂
    4
  14136. I ❤️ your calculs lecture 😊. Thanks for osm LECTURE.
    4
  14137. Thanks Jeff Bezos with hair.
    4
  14138. Am first again
    4
  14139. wow that cover is awesome 😮😮
    4
  14140. Computer science is really a branch of mathematics. The tundamental programming skill is determining abstractions; languages are just different ways of expressing those abstractions,
    4
  14141. Shell and disk method are easy if you just remember Top-Bottom and Right-Left
    4
  14142. I want to get a chemistry degree but it took me three years to get college algebra becuase of the prerequisite class i dont i can do it
    4
  14143. I believe the book mentions that its sufficient, but not necessary. He even admits that his university didn't even have grades!
    4
  14144. Thank you❤
    4
  14145. I love these simple videos. Keep them coming!
    4
  14146. amazing:face-fuchsia-tongue-out::face-fuchsia-tongue-out::face-blue-smiling::face-blue-smiling:
    4
  14147. Thanks
    4
  14148. I have never seen any calculator like this in my life
    4
  14149. I am a lawyer now and I am teaching myself advance math because they wouldn't let me do my advanced math classes in high school. Always wanted to be an astronomer or cosmologist since a kid but I couldn't do physics without the maths. Adults who know better hey. The dissapointment has impacted my whole life the decisions adults try to place over teens thinking they know better. Yes I might appear to others successful and smart, but it doesn't mean I am happy and living my destiny. At the end of the day, good lesson, listen yourself and do what you wish. First time I am sharing this publicly or to anyone. I am 46 now. Life is short. Live your dream. Also I didn't know I had a learning difficulty condition until my 30's which makes me have to work harder than others.
    4
  14150. Sir I am from India ,
    4
  14151. My forst view
    4
  14152. John von Neumann, pronounced NOY-man. Right. Only the guy responsible for the fundamental architecture of everyday computers. And a whole bunch of other stuff.
    4
  14153. 100k tommorow!!!!!!!!!!!!!!!!!!!!!!!!
    4
  14154. Good video, I never had much to do with statistics before getting into college but I like it quite a lot !! I like how there are a lot of elements from calculus.
    4
  14155. How can i learn calculus on ny own?
    4
  14156. It would be a lot more work, but could you post a weekly video where in week 1 you have 10 selected problems from various books in your library, then in week two go over the solutions? or maybe once a month?
    4
  14157. x.x+3x+1=0 Transform origin to (a,0) from (0,0): (x-a)(x-a)+3(x-a)+1=0 x.x-2ax+a.a+3x-3a+1=0 x.x-(2a+3)x+a.a-3a+1=0 Set coefficient of x as zero. Thus, a=-3/2 Equation is of form, x^2=k^2 Therefore, x=+k,-k Graphic illustration would certainly help.
    4
  14158. When you pick up a math book for the first time, what things are you looking for immediately? length, difficulty, table of contents, prerequisites, rare topics, similar books, past readings, books with similar contents, math programming language, examples, answers in the back/online, images, word/equation ratio, text "readability", author, notation, color/black and white? Feel free to turn this question into a video. (no reference needed).
    4
  14159. well done your way of teaching is amazing would you plz tell me the real life example of CV
    4
  14160. Some schools do offer funding for Masters programs but they are rare.
    4
  14161.  @TheMathSorcerer  Such a diverse range of topics covered in your library.
    4
  14162. Yes :)
    4
  14163.  @TheMathSorcerer  What kind of math is required to teach yourself differential equations?
    4
  14164.  @davidsoto4394  I know I am not the math sorcerer, but I will still try to answer your question. To learn how to solve ode's and pde's, you must know calc 1,2,3 and a lot of algebra.
    4
  14165.  @TheMathSorcerer  Well, you also need algebra that is stronger than that of a normal calculus student. In addition, knowing your derivatives is important too.
    4
  14166. Engineers have to prove that their designs will work in real life
    4
  14167. So Inspiring, thank you
    4
  14168. My father has stage IV Lung Cancer. Everyday he fights, he goes does his chemo, enjoys every minute with his grandson. Don’t ever stop, you can’t give up. Life means so much. He asks me everyday, “what did you learn today?” Which he asks me that everyday I talk to him but I always want to tell to him something mind blowing and cool.
    4
  14169. This makes a lot of sense.
    4
  14170. Great vids, Sorc'. I have picked up a few books you have suggested. They have become my obsession. I am making some wonderful breakthroughs in understanding and finding applications in my work. Thank you!
    4
  14171. That backhanded marker technique is clutch. I'll be practicing this.
    4
  14172. 1st
    4
  14173. hace poco me apareció tu canal en inglés y no dudé en suscribirme. Baldor es un gran libro y se lo estudia mucho en secundaria, es el terror de los estudiantes. je je
    4
  14174. I cross-reference several textbooks (I own at least 6 calculus books) and I could definitely attest to the fact that each of those books brings something unique and valuable to the table so-to-speak.
    4
  14175. Greetings professor!, great advices!... thanks!
    4
  14176. can’t you change the subtraction sign into an addition?
    4
  14177. The book is meant to be understood easily and to learn and much as possible fast. Something most math books try to hinder you from....
    4
  14178. Hello! I'm preparing for a university exam. In Math we have subjects like logarithm, functions, derivative, integral, disequilibrium etc... To understand Math better is this book suitable for me? I'm planning to read it in my free time.
    4
  14179. Tipler is awesome!
    4
  14180. Thanks a lot ❤️ -from Nepal
    4
  14181. Many thanks for the recent feedback on your calculus course 1. I’ve purchased all 3 calc courses via your links. Calc 2 is beyond what I need to do but I’m going to master it just for the challenge. See u there and all the best !
    4
  14182.  @TheMathSorcerer  It is addictive though :)
    4
  14183. Fountain pens rock!
    4
  14184. This video is awesome! You’re awesome!! This really inspires me to learn more math and push myself more!! It’s so fun and fascinating.
    4
  14185. Is it Einstein (video title), Einsenstein (thumbnail) or Eisenstein ? ;)
    4
  14186. This man is a living legend. God speed!
    4
  14187. I collect math books because they make for good reference and provide different perspectives on various topics in such a way that they arouse ones imagination.
    4
  14188. Euclid was reportedly asked by a student about the usefulness, and the story goes that Euclid asked another student to offer the first one a coin
    4
  14189. In my opinion, a high IQ is always an advantage, on everything someone with such, does. But that is just different from being a requirement. Developing a proper Mathematical way of thinking, depends on many parameters. But a big one (in my opinion) is sharpening your intuition. Intuition, many many times, gives you a hint on what direction it is better to look in a problem, and although it is not completely independant of IQ, I think it is at least (relatively) highly independant. That's an idea I have, why someone can develop proper Mathematical way of thinking having an average IQ. He simply might be able to develop an excellent intuition to help him.
    4
  14190. Really appreciate this explanation!
    4
  14191. That'd be awesome!
    4
  14192. Thank you,  @TheMathSorcerer !! I will!!! :) :) :)
    4
  14193. I want this book!!! I💜💜💜💜
    4
  14194. Dude reeeaaally loves books. Kudos.
    4
  14195. Great video! Reminds me a lot of your review on the Ahlfors book a long time ago. These old math book reviews are really interesting!!
    4
  14196. Just finished ODE this semester, got a B :)
    4
  14197. Seven years in Math... then doing actual work seems like vacation ;-)
    4
  14198. Thanks man, even tho it is pretty obvious and im always slow on tests it still helps to know that this could even improve myself more
    4
  14199. What are the odds, I just started class 11th maths and finished ch1 about Sets today and you release this video. The math gods are with me.
    4
  14200. I think this guy is Terry Tao's teacher... what a legend!
    4
  14201. Sir you're videos are really Amazing. Helpful videos forsure. Thanks a lot Sir.
    4
  14202. ?!?!?!?!?! ARE YOU SERIOUS that's literally my next class !!! thank you!
    4
  14203. I'D like to see another live stream. I missed the last one. I like Blitzer books and didn't know about them until I saw these videos. Now I've ordered the Sullivan book Algebra & Trigonometry.
    4
  14204. 😨😨
    4
  14205. Ah, señor, my name is not Dobby. I am not a slave elf. I am not even a free elf, as was Dobby. So, I do not have to hit my head against the wall. Refer to another book? Perhaps. Chat with a classmate friend? Maybe. Ask a question to teacher? Possibly. But hit my head against the wall? Of course not. Mental seismometers are for important events, not math problems.
    4
  14206. I found linear algebra tough. I'm only an undergrad so maybe I'll change my opinion later on, but till now linear algebra perturbs me the most
    4
  14207. MathSorcerer&Leithold❤
    4
  14208. I'd say this is (mostly) an undergraduate level text, no? Atiyah MacDonald would be my first recommendation for intro grad level Algebra, along with Stewart's Galois Theory.
    4
  14209. I never understand why ppl add random emoji after everything they say
    4
  14210. All I see is Jeff Bezos, tell me crazy
    4
  14211. Hello 🇹🇷 Happy new year
    4
  14212. Imagine Jeff Bezos continue to pursue physics and math
    4
  14213. Thank you sir
    4
  14214. thank you for awesome content
    4
  14215. I am a highschool math teacher and relate so much to your description of why you love to teach. I love it when students are engaged and trying ro answer the questions I ask. I love high fiving them when they get the answer right, and getting excited with them. The best for me is watching student have their aha moments. You can see it in their eyes that they got it. These are the best rewards a teacher can have.
    4
  14216. This will really help in College Algebra! Cheers!
    4
  14217. It's always important to know the quality of these books. I am always considering that when buying math books.
    4
  14218. Thank you this was very helpful 👍
    4
  14219. First
    4
  14220. First
    4
  14221. I always struggled with Algebra while Geometry was my favorite and I even excelled at it. Perhaps perspective and the way someone delves into something, plays a major role.
    4
  14222. lmao 99% of people don't know discrete mathematics, real analysis, or even calculus. Stop trying to gate keep being human. 😂😂
    4
  14223. This is literally the best video ever. WOW. I'm an engineering grad student not a mathematician but WOW this was so relatable LOLLLL
    4
  14224. Make video on series.
    4
  14225. You can buy second-hand books for a lot less. I bought one thick copy of a book "Discrete Mathematics with Applications" (identical to the first book shown in video here). I bought mine for nearly €5 (same as US dollars).
    4
  14226. Nice
    4
  14227. oooooooooooooooooooooooooooooooooooooooooor
    4
  14228. Could you possibly do a vid on excellent workbooks that you are aware of?
    4
  14229. I believe that Nietzsche summed this up very elegantly in the preface of Ecco Homo. Philosophy as I've understood it, hitherto, is a voluntary retirement into ice and mountain peeks, seeking out all things strange and questionable, all things upon which, hitherto, morality has set it's ban. He implies that morality based upon a constant structure that is self supporting, is a trap. This can apply to any discipline where we adopt a beginning to end philosophy. We cease asking questions.
    4
  14230. Definitely gonna buy the book thanks for the review Prof. Sir can you please suggest me a Real Analysis book for bignners .
    4
  14231. I thought this was going to be a math question about meat
    4
  14232. I didn't think I already miss Anna's class after watching this 😂
    4
  14233. Could you please give us some new book titles to start math from scratch?
    4
  14234. Thank u so much
    4
  14235. Oh thanks professor😇🙂🙂👍👍
    4
  14236. This was so helpful
    4
  14237. Hindi ma bol
    4
  14238. I was just doing an undergrad math test a few days ago Was hella tough everyone got rekt Lots of complex analysis and differential equations I hope i get a good grade
    4
  14239. to me you are 200% right
    4
  14240. Le every Indian kid: NCERT + RD Sharma / RS Agarwal
    4
  14241. Even though for me analysis is one of the hardest undergrad courses, but I would say it depends on professor and student too. The way course is taught makes a difference, also everyone’s brain work differently so yeh it depends on individual.
    4
  14242. Hi sir I am from India, now I am in High school, in just 4 months i will join college for undergraduate course ,i love your videos ,thanks to spead this valuable knowledge.
    4
  14243.  @TheMathSorcerer  what does Scarface have in common with Calculus students? Give up??? they both have to.... 🎶🎵 ....push it to the limit!! 🎵🎶🎵 🎵"LIMIT!!!" 🎵🎶 🎶walk along the razor's edge,🎵don't look back but still "you gotta learn," how to keep it!!!🎵🎵 🎹(keyboard melody)🎶🎶🎶 🎶🎵Open up the limit!!🎶 (80's guitar solo) 🎸🎶🎶🎶 🎵limit🎵 🎵limit!!🎙🎵 (sings higher) 🎵Limit!!!!📢🎶 (🎙higher harmony in 5th) 🎵LIMIT!!!!!!!!📣📣🎶🎶 (sings 8ve higher!) 🎵🎶🎶🎵🎵🎵🎵🎶🎶🎶🎵🎵🎶🎵🎶 (like only 6people in the whole world will get that joke, but it will be worth it. (To everyone else.. I'm sorry.))
    4
  14244.  @TheMathSorcerer  un mojito cubano, chico! Saludos desde Guatemala, viví en EEUU 11 años. I'm a new math Lover.
    4
  14245.  @TheMathSorcerer  i always thought you were from Australia.
    4
  14246.  @TheMathSorcerer  I always suspected you were from the island after seeing a little plaque in the backround with the map lol
    4
  14247.  @TheMathSorcerer  That's interesting you're Cuban. I wouldn't have guessed it correctly. I would of guessed German or Russian or eastern european. But anyways thats a cool fact.
    4
  14248. This video came to me at the right time.❤
    4
  14249. Sir u inspired me to study maths thank you so much plz keep guiding us 🙏
    4
  14250. My grandfather gave me 3 of Thompsons books in 1965.
    4
  14251. I am a little confused. When it comes down to graph theory, is it possible to learn it with simply using arithmetic? I bet geometry would help since it actually helps build spatial intelligence, something that I assume would be really useful for graph theory.
    4
  14252. I have watched 4 or 5 video's on this tonight, yours is the only one that made sense to me on how to do this. Thank you! It's very clear and concise :)
    4
  14253. Yeah good
    4
  14254. Have you had a look at "Differential Equations with Boundary-Value Problems" by Dennis G. Zill? I just started my differential equations course at uni and we use that book, and would like to know what you think! :)
    4
  14255. I learned from the fourth edition of Zill's text. I still have it and the Schaum's outline. Together, you can't go wrong... in my opinion which is worth what it cost you...nothing.
    4
  14256. Click on bluelighted time to view any book in particular below: (N.B. I will return with revisions. Please alert me to my errors) 0:41 "Contemporary Abstract Algebra" by Joseph A. Gallian "Abstract Algebra, a First Course" by Dan Saracino 2:56 "Modern Algebra, An Introduction" by John R. durbin. "Abstract Algebra with a Concrete Introduction" by John A. Beachy & William D. Blair. 3:41 "Group Theory" by B. Baumslag & B. Chandler. "Modern Algebra" by Frank Ayres. 4:13 "Abstract Algebra, an Introduction" by Hungerford. "Introduction to Abstract Algebra" by Ray Dubisch. "A Ccrete Approach to Abstract Algebra" by W. W. Sawyer. 5:01 "Elements of Abstract Algebra" by Allan Clark. "Algebra Structure" by Serge Lang. 6:06 "Topics in Abstract Algebra" by I. N. Herstein. 6:27 "A First Course in Abstract Algebra" by Hiram Paley & Paul Weichsel. 6:56 "A First Course in Abstract Algebra" by John B. Fraleigh. 7:58 "Concepts in Abby Charles Lanski. "Lectures in Abstract Algebra" by Jameson. 9:25 "Algebra" by Michel Artin. "Galois Theory" by Emil Artin. "Rings, Fields and Modules" by ???? "Groups" by ??? "Algebra" by Vander Waerden. 11:24 "Basic Algebra" by Anthony W. Knapp. "Algebra" by Serge Lang. 13:01 "Exercises in Classical Ring Theory" by T. Y. Lam. "Topics in Ring Theory" by Barnshay. "Ring Theory" by Burns. "The Theory of Rings" by Neal R. McCoy.
    4
  14257. Nothing compares to that moment when all have sense in your mind and you see a different future. Great video!
    4
  14258. Thanks
    4
  14259. Many of these topics I have only seen here for the first time. Thanks for another great one Sorc
    4
  14260. could you please make a video explaining what type of jobs a math major can have after 4-years of undergraduate?
    4
  14261. I am some people
    4
  14262. When you search for book on Measure Theory, this is on top of list , everywhere in world. Royden could have used more examples, illustrations, figures, graphs. Even Fritzpatrick could have considered that. Not my favourite but there is not much of choice.
    4
  14263. His AIDS denialism was super-weird.
    4
  14264. thank you.
    4
  14265. Great work. I really like the way you walk through the whole thought process.
    4
  14266. ❤️❤️ This channel is like a much needed math community. Couldn’t do without it.
    4
  14267. I’m a EE student, it is very difficult. I would say Pre Med is the hardest major, not due to difficulty, but because there’s other elements that make it hard, how competitive it is, you have to have perfect grades, clinical exposure, etc. so I would say pre med is the hardest.
    4
  14268. I needed to hear this.
    4
  14269. SequinBrain ​same, I'm hoping no shelf fires burst, GREAT
    4
  14270. I hope my professors are like this when I go to uni next year. Your teaching method makes it very easy to follow along
    4
  14271. Miss your classes. Come teach at UCF!
    4
  14272. I am here after understanding why mathematics is so much important in my life...
    4
  14273. A great exposition of the pure mathematics behind Linear Algebra is the MMA's "A Guide to Advanced Linear Algebra", by Steven Weintraub. It is written in a standard Theorem, Lemma, Proof format, without any excercises, so it isn't much good for studying for a Linear Algebra exam, but it lays out the proofs of all of the results very nicely, so it is great if you want to understand Linear Algebra with an eye to original research or from the perspective of wanting to write proofs.
    4
  14274. Es un placer escucharlo, usted me ha ayudado mucho, solo le recomendaría poner subtitulos español, me hubiera gustado mucho ver sus videos cuando estaba en el colegio pero lastimosamente no sabia ingles. Saludos desde Ecuador 🇪🇨
    4
  14275. I am waiting to see you do next row of books for reviews. 🙏🏻 🙏🏻 🙏🏻
    4
  14276. This is helpful. I'm liking and subscribing!
    4
  14277. I took PDEs my senior year. Took differential equations for the first time in grad school, no problem.
    4
  14278. I second that.
    4
  14279.  @TheMathSorcerer  I remember in high school my teacher asked me why I chose Calculus as a course because of the many questions I asked her in desperate attempts to succeed in that class. I swear to god, she told my parents that I was a ''lost'' & '' dumb'' kid and that I should leave the course. This destroyed me. I'm in college now, and you've helped me a lot to increase my self-confidence in math. You were talking about different subjects that are very important to succeed in math. I will keep supporting you, if you ever have a Patreon, I will gladly donate! My grade went from a B- to an A watching this channel. THANK YOU!
    4
  14280.  @TheMathSorcerer  Whoa! Wait! I'm very outgoing (social anxiety pumps me up instead of the other way around, and SO I would ask questions, but I am also very observant, and the professors would give speedy answers and look at their watches, and then by the end of the class they would be congratulating themselves on being able to finish their lesson plans. The Big Message is that they Lesson Plan for a tight packed class. Some days they do fall behind which means that they need to take up the slack later. I learned to rein myself in. And I'm not a kid. I'm older than most of my Professors and so I could commiserate with them and the Work A Day struggles. If I really did have a compelling question I would take it to the Office Hours which was more fun, again, at my age, it's more fun to chat with a professor and have a few laughs. Oh, all my Math Professors were polite and stuck with social cueing to limit the amount of interruptions, but my Psychology Professor got snarky about it... I guess he needs to see a Psychologist, because why on earth would he be provoking towards somebody who obviously won't major in his Department, you know, have nothing to lose by trashing him on his Course Evaluation. Oh, his Dean was also surveying and sending auditors to his Lectures which meant I knew that Professor already had a target on his back, and the Dean asked me into his Office once (they make a fuss over students in their Senior Program) and we had a great talk and so if the Dean wanted that Professor's head on a platter, heck, I'd give it to him. I found a lot of excuses. but the Math Faculty was great.
    4
  14281. Thank you sir, I really needed this ❤❤
    4
  14282. Thank you soo much, sensei
    4
  14283. Oh ok! Well as long as it's your doing I think it's totally up to you. I just wasn't sure if there was something wrong with youtube. Btw, would you consider researching infant circumcision and then doing a video on your perspective of the long term implications of it i.e. mental health disorders, sexual immorality, crime, war, poverty etc.. Thank you for your time and thank you so much for responding!! 🪄🪩✨️
    4
  14284. Serge Lang is a French mathematician and french authors write mathematics books differents from english , german or russian ones, i invite you to read all french books the are excelent, the French mathematics have another way to expose and solve the problems and topics.
    4
  14285. I'm really glad i have seen this, I'm personally studying math from the very beginning after a medical degree to prove a quantum hypothesis and I was sooooo frustrated on how to even start.
    4
  14286. Wizard, what are your thoughts about students and the CLEP exams? You can get College Algebra, PreCal, and Calculus credit for college? Do most colleges honor those?
    4
  14287. Thankyou sir💓
    4
  14288. Saudi Arabia ✌
    4
  14289. 1st view from myself India🇮🇳🇮🇳🇮🇳🇮🇳🇮🇳
    4
  14290. Thank you I'm watching your video with respect in Korea
    4
  14291. the explanation was really good, i watch it while i was laying down, but it got to my brain. really great explanation, thank you sir, keep doing your hard work💪
    4
  14292. I've been a long time subscriber but it seems that some of your videos fall through the cracks. Would you please compile your most salient advice on mathematics in a single video. Thank you in advance
    4
  14293. This was my Precalculus Textbook in 2003
    4
  14294. Dear Maths Sorcerer, can you please share your email?
    4
  14295. High STEM Quotient. If that is or can be a thing. In seriousness, the acorn is not ordinarily said to be algebraically better than the oak. Or in a bamboo garden. Some short, somelong.
    4
  14296. Im not that good at integration but really good at derivates (calc1) , do you suggest me take calculs 3 or diffreional first ?
    4
  14297. What do you think about that grifter Tulsi Gabbard?
    4
  14298. looks like a fun class!!!
    4
  14299. After a long time coming back to your videos. Professor, you never fail to motivate me ❤❤❤
    4
  14300. This is just what I needed. I'm studying Mathematics in Spain (1st year) and I've never had the necessity to study for a test, until now. I used to have very good grades through high school. Now, instead of binge-watching Netflix, I'm binge-failing tests. And that's because of my lack of concentration capacity and willpower. I'll try to do best.
    4
  14301. Definitely
    4
  14302. This video was SPOT ON for me. Thank you!
    4
  14303. GREAT EXPLINATION
    4
  14304. like, fucking god.
    4
  14305. The hard part of Clac 2 was juggling all of the concepts. Having to come up with orders of operations on my own because 'there is no order of operations'. BS, there should be a series of stuff you can go through based on the given problem. But yeah, remembering all the steps and possibilities for each equation was hard. Overall, once you get used to it, it's not that bad.
    4
  14306. Thanks so much for doing this video, really appreciate it 😊
    4
  14307. Those little nuggets of understanding gained along the way are super underrated. Appreciate all of your improvements. When you're learning, be your own positive mentor! Any amount of improvement is better than none, and effort is a necessary component for success. You can't improve without "getting stuck" now and again :). Getting stuck is a necessary prerequisite for growth. The thing you have control over is **how you deal with "getting stuck"**. It's important to see your failures as a necessary and natural part of learning math, because this mindset alone can significantly increase the likelihood of your success. It welcomes failure, instead of being fearful of it.
    4
  14308. 0:40 "Free-ride...also kept me isolated" I don´t see the connection? Why?
    4
  14309. volume 4 is not complete, i have fascicle 5 and 6 of volume 4 as well as the other books in this series. thank you for the review.
    4
  14310. thank you so much !
    4
  14311. such a cool video ! awesome collection of books
    4
  14312. I am having a PDF of this book
    4
  14313. So you got to have a masochist personality to get through!😁
    4
  14314. Me on my final year of a maths degree knowing we spent 20 mins on truth tables and we start from differential equations and linear algebra 😭
    4
  14315. Absolutely normal! I would never believe someone who said they haven't had that happen at one point.
    4
  14316. Thank you from the bottom of my heart.
    4
  14317. I think older students bring an extremely valuable maturity to the classroom, especially if they are intending to continue into grad school. In twenty years of teaching, one my top three students started college at 22 or 23 years old. The maturity difference was huge for him -- especially his ability to forge relationships with professors and navigate the "intangibles" in the system. He quickly learned to prioritize networking and research opportunities, and he is deep into his PhD now. In contrast, I was the very young "straight A" student rushing through a double major, working entirely alone and purely focused on test taking, which was a HUGE mistake and burned me out! There's nothing wrong with youthful ambition, but even a few years of life experience will teach us skills that more than compensate for the time delay.
    4
  14318. The greatest calculus book off all time was G.H. Hardy's Pure Mathematics. That book set the ball rolling on getting calc taught in colleges. Close to it was Thomas's book.
    4
  14319.  @TheMathSorcerer 😀
    4
  14320.  @TheMathSorcerer  Is there an applied math version of the book that says all the math you need to know for graduate school?
    4
  14321. @math sorcerer do you any where you can find the solution to Munkres? I've looked for comprehensive solutions all over the internet , can't find them. Would be awesome. Thanks qs
    4
  14322. If one has never failed at anything they will never be able to learn.
    4
  14323. Yea I know what you mean. It's very similar to the way trading cards smell right after you open a pack.
    4
  14324. Thank you so much Math Sorcerer :)
    4
  14325. ❤ from India🇮🇳
    4
  14326. "You could do it but that's a wreck." hahahaha
    4
  14327. It just takes patience, practice and discipline.
    4
  14328. Excellent and very helpful video. I also beleive math takes practice.
    4
  14329. the Quarters theory by Illian Yotov is still applicable in the currency markets cause banks And Bfi's need to distribute their positions to what they consider fare value because they take both sides of the deal.
    4
  14330. I suppose i had 3 very hard subjects in my major in geophysics in Mexico : Fundamentals of computers and programming, 1st quarter, very arid; mineralogy, 3rd quarter, lot of topics, stratrigraphy, 5th quarter, too much demanding.
    4
  14331. Thank you so much, Math Sorcerer!!! Your videos are so entertaining and THIS ONE is no exception!! Keep on doing what you're doing!! The math community is indebted to you, Math Sorcerer!!! :) :) :)
    4
  14332. Sir very good book for us If take the classes online over it
    4
  14333. I feel like this video is personally tailored to me. I've always had a faculty for understanding things at a profound epistemological level, but that doesn't necessarily mean that I possessed the required skills. In statistics, my professors take notational shortcuts, so my brain gets fixated on the smallest details and my time overall is wasted.
    4
  14334. There is an abstract calculus book in spanish, which is called "calculus" by M.Spivak and theres are some problems way advance for beginners
    4
  14335. Chemical Engineering has entered the chat
    4
  14336. Exercise gives proficiency. "Bad at math" is seldom inherent. I tried to explain to my "very bad at math" father the principle of algebra by deriving one formula from another. Since his working life had required from him how to apply simple formulae, he at least got the principle of what math actually does.
    4
  14337. Thank you sooooooooo much....😇 Love from India🇮🇳...❤️
    4
  14338. more valuable knowledge from the Sorcerer.
    4
  14339. I really hope one day I'll have enough time and money to buy and read all these books. Ps:I have read some though as a CE student.
    4
  14340. Would love to see a bookshelf tour
    4
  14341. 1+1 = x
    4
  14342. Your lectures can make anyone love and enjoy math..❤️✨
    4
  14343. Please make a review video on Hartshorne's Algebraic Geometry
    4
  14344. Is it worthy to buy Kaczor's "Problems in Mathematical Analysis" three volumes?
    4
  14345. Physics isn't real, so it's ok.
    4
  14346. 1888? Amazing to know what they’re doing with differential equations back then.
    4
  14347. Damn! Math Sorcerer got jacked! Bro been solving the benching equation 💪💪
    4
  14348. That is really true. In general I agree that Real Analysis/Adv. Calc is the hardest subject but the teacher makes a huge difference.
    4
  14349. An Old Man's Advice: Don't tell anyone that you work well under pressure ... because you'll get it! Here's the bad news: they'll see it even if you don't say anything. ;)
    4
  14350. This is so true I really understand what you mean
    4
  14351. I don’t think Euler doesn’t get the credit he deserves
    4
  14352.  @TheMathSorcerer  If you did not do so already you should install a dry erase board in your house for when you eithier practice math on your own or are teaching math.
    4
  14353. When you see that you are struggling/failing a course, it's time to go into "Apollo 13 Mode": failure is not an option. Ask questions at your Professor's and TA's office hours, attend discussion sections, ask your classmates for help, organize "Problem Set Parties", etc. If you've made a concentrated effort and find yourself at a point where, "I understand A & B but don't get C and beyond.", ask for help! Demonstrate that you are not just being lazy. Now, if you're really going to auger-in, formally withdraw from the class before the deadline; a "W" is better than an "F" on your academic record.
    4
  14354. When you said casual reading and understanding everything, I got a mental image of John Travolta's character in Phenomenon.
    4
  14355. It would be hard for students back then now these types of questions are pretty common still a good challenge
    4
  14356. Thank you so much❤️
    4
  14357. Spend time on maths, discrete maths, algorithms you will love it try it for a few days.
    4
  14358. Bonus points for the t-shirt and for erasing by hand
    4
  14359. This helped a ton. Thanks!
    4
  14360. 3:17 yes thats me when the teacher passes the time with story times
    4
  14361. Title: learn math Content: here are books about math
    4
  14362. Please, enable cc. You have a good diction but sometimes I need the captions to listen some words properly. You have many others foreign followers, I suppose.
    4
  14363. Thank you so much. You're example is very clear
    4
  14364. Kindle version?? Please
    4
  14365. I would say B.S. in Physics is a harder degree to earn than any field of engineering by far.
    4
  14366. This is great you did this video because i also have a Final Exam tomorrow for differential equation, what are the chances.
    4
  14367. Oh this is awesome, I gotta buy this! Thank you!
    4
  14368. Wow...thanks!
    4
  14369. We must find Sarah Conner! Graaaahhhh.
    4
  14370. Your first language is Spanish? Thats so cool, I wouldn’t have guessed that. Where are you from originally?
    4
  14371. Love your videos
    4
  14372. I noticed when working out im less likely to get consumed by stress and negativity
    4
  14373. Nicely said, we don't have control over things around us but ourselves. That's the best thing we can do.
    4
  14374. You are SOOOOOOO Much more than a Math Professor!!! You are impacting and changes lives in so many ways. In my book, all of the titles belong to you (Bro. Mr. Dr. Prof. Rev. Imam, Rabbi, swami, YOU NAME IT.....) You render guidance far beyond Limits, Derivative and Integral. Many many people watch your videos for more than math lessons and examples only. Math Sorcerer.........Keep on pushin'!!!! You are a change agent and an atmosphere shifter.
    4
  14375. From India 🤟🤟✋💪🔥💯
    4
  14376. I have that same tank top nice
    4
  14377. Super sir 🙏
    4
  14378. Thanks! Professor just informed us we could use these on the final if we had one. Who needs Desmos anyway?
    4
  14379. Wow, tysm man. i love you.
    4
  14380. This is triggering.
    4
  14381. So what is called that formula where you wrote "recall"? Is there more of them? Bc there a question i have which is intregal sin6x sin 5x dx but i can't exactly use the same formula you did.
    4
  14382. Where is this forest?? Near your home ?? How much far
    4
  14383. I totally got a bunch of math books at the thrift store the other day after seeing your video on getting a bunch of different perspectives!
    4
  14384. I didnt know trees liked math
    4
  14385. Hi Math Sorcerer! I really like your videos specially when you share the books you are using. Do you have a complete list of the best books references starting from algebra to numerical methods. I really wanted to learn math more deeply but with vast resources I am confused whom to follow. But with some hints from your videos, I wonder if you can provide a whole guide (like a curriculum) for the best books to lean on starting from the basics of algebra to understanding abstract algebra to more higher engineering mathematics such as numerical methods. Thank you and have a nice day.
    4
  14386. You could, you know, give dimensions to describe the size. But I'm an engineer, not a mathematician, so you guys might not like units since they're tied to the real world. 😃
    4
  14387. Thank you so much i have a maths exam tomorrow and this was so helpful!!
    4
  14388. Most challenging semester(I was a first time college student at an CC, right out of high school) I had was Calculus 3, Differential equations, linear algebra, and English 1. I had to drop English 1 and reduce hours at work. Ended up getting a C in both calculus 3 and linear algebra, and surprising got a A in diffy q. I changed my major from math to computer science. At least I met all the math requirements for a computer science major lol.
    4
  14389. Hey MathSorcerer! How do you personally feel about learning Math subjects through Khan Academy? I'm currently in my summer vacation before Junior year, and they're letting me 'skip' Pre-Calculus so that I can take AP Calc AB and BC Junior year. For the entirety of Pre-Calc they gave me 220 Khan Academy assignments, of which I have about completed 75% of. It's all felt pretty easy so far, and I want to see if it's really giving me everything I need to know before I tackle AP Calculus.
    4
  14390. I hope these tips help me, I’m taking linear algebra and differential equations together next semester. I’m worried. Any tips? Good textbooks to have?
    4
  14391. I like Courant & John books on Calculus better.
    4
  14392. You’re videos are amazing! I’ve been binging a lot of your videos in quarantine and recognized the course code in your video about the hardest exam you ever gave which looks Floridian. Do you teach in FL and did you go to grad school in FL? -Sincerely, an incoming freshman math major at UF :)
    4
  14393. Have you seen or heard of the books by Jay Cummings? Proofs: A Long-Form Mathematics Textbook and Real Analysis: A Long-Form Mathematics Textbook? I came across them on Amazon- they look to be a homebrew, possibly self-published effort. Would love to see a review of these before buying. Thanks! Love your videos
    4
  14394. I took me too long to get the joke, im too conditioned lol
    4
  14395. Ive never seen something more true to my experience of self study.
    4
  14396. Great comparison to running
    4
  14397. He has a few videos on the topic!
    4
  14398. Watching this 2 min before my exam. Thanks man, explained alot for me in a short period of time 👌
    4
  14399. For the people that make text textbooks to make money. We are paying for their yachts. What do you think about that?
    4
  14400. hm? why not start trying? I actually managed to learn several programming languages, including C++, before i even signed up for computer science. information is everywhere on the internet. it will save you money if you just DIY yourself a way through it.
    4
  14401. im taking college algebra but need some more work on foundations shouldi worry about proofs or go back to pre algebra and algebra
    4
  14402. Excellent advice, great video!
    4
  14403. I really like how clear and simple you explained it
    4
  14404. If you had to pick one book for discrete maths for self study, which one would you choose?
    4
  14405. Thanks for sharing. I would add, in my opinion, study maths is about handling emotions of all kinds.
    4
  14406. Sir, this video has encouraged me lot..I was almost about to give up. Your videos inspire me lot,and this one is too important for me. love ❤️ from India.
    4
  14407. THANK YOU!
    4
  14408. You're a great guy
    4
  14409. Great advice. You are the man kid!
    4
  14410. Thanks very much for having my on the channel!
    4
  14411. Priceless advice. i have the problem of do i choose quality of the session (specific time with hard focus) or quantity( do i just make sure i have turned over 5 pages today (grasping the skeleton of it by doing a few problems) Thats why testing is good along with formal study, it makes it more important. Thanks for your time.
    4
  14412. I'm nearing my final, just the advice that I need!
    4
  14413. Excellent video.
    4
  14414. Beautiful!
    4
  14415. Sorry to say sir but it's 12 garde question in India and its one of the easy one you don't need to solve that one sir.
    4
  14416. new backgroud? amazing content
    4
  14417. 24k views but 800 likes, like ayo its 24k gold education!
    4
  14418. thanks for the help it looks easy now!
    4
  14419. I am a rising junior Math and Physics double major and want to go into pure mathematics, but my school doesn’t have a pure math route so I’ve been teaching myself set theory and few other things. Should I consider transferring to a different school or should I be out going down a applied math route and teaching myself other stuff outside of school?
    4
  14420. Many people on internet do need to learn some basic mathematical logic.
    4
  14421. I know of stephen abbot too
    4
  14422. First?
    4
  14423. We had this discussion about graduate schools with my parents last night!
    4
  14424. It is like an advance version of Apostol's books
    4
  14425. May be because of the ultra expensive costs of universities and math books , the bad book costs at leasts 15 dollars In a matter of fact i am from egypt and this number costs here like about 255 eyptian bound
    4
  14426. Thomas calculus is the most pervasive book in libraries
    4
  14427. Calc 2. Felt more like tipping point and climax. 1 Introduces integrals at the very end of semester, and limits, derivatives, and differentiation applications are glimpse in Calc 1 to give students enough time to review basic algebra and trigonometry to make sure to hone. Calc 3 is like downhill of the climax with a bit more new concept intros though you cannot deny that 1 & 2 adds 3.
    4
  14428. Thank you so much sir . you solved my problem in just a seconds.❤️🙏🏻🙏🏻🙏🏻🙏🏻🙏🏻
    4
  14429. thank you🎉 🎉
    4
  14430. Hi
    4
  14431. Sir can you make videos on conic sections including ellipse and hyperbola related math books. Please sir
    4
  14432. Wait, I don´t get this video. Don´t you have to do masters and only after you get your masters can you apply for phd? Also what is there to fund when you are doing masters degree. It is not like you would do hardcore research, isn´t it? And as far as I know many universities offer to pay for your tuition if you teach like begginer underglad classes. So if you get into a good college with the right program for you that offers this, then it is win win for you and should definitely go.
    4
  14433.  @cardinalityofaset4992  like he said in the video, many PhD programs will award you a master’s degree after the first two years then you can decide to finish or just leave with the master’s. So you’ll technically be getting a master’s first, just you won’t have to reapply to get into a PhD if that makes sense.
    4
  14434. I’m currently studying Calc 3 And I think it’s the most fun. I love the all the beautiful graphs 😃
    4
  14435. You are the Quinn's Ideas of mathematics.
    4
  14436. Just started the Schaums Logic book. Long time fan of their books.
    4
  14437. 1st
    4
  14438. Could you please explain how to watch members only videos? I'm clueless.
    4
  14439. Daaang the days when homework sets could go up to like 80's 90's haha.
    4
  14440. You have no idea how much I needed to hear this today. Thank you.
    4
  14441. Perfect video for Algebra II students: factoring, perfect square trinomials, and complex numbers. I should send my students your way!
    4
  14442. The most difficult books come from mir editorial
    4
  14443. Before I clicked it, I knew the first word would be PRACTICE! Haha. Great video :)
    4
  14444. so jealous of the bookshelves behind you
    4
  14445. I'M SO FAST
    4
  14446.  @davida2810  He is a guide. He really gives good advices.
    4
  14447. Visit profs during office hours! Not only is it basically a free tutoring session, profs will really appreciate face to face/video to video contact with students as they'll know how hardworking of a student you are. This is assuming the prof actually cares about their students of course.
    4
  14448. Every time I went to my professor’s office the door was closed and you can hear him snoring. He was very old.
    4
  14449. Dude, you look great. Yeah, this is a math channel, but damn....
    4
  14450. ILoveMaths07 you might consider taking a year or two off college and start self-studying at home. On your year off, study up what you have fallen behind. Return to college when you have pulled up in studies. My youngest sister took one year off university when she had needed a year of recovery from a surgery. She had used that one year break to study at home. Occasionally, she quietly dropped into college to read books in library. She attended lectures, quietly. She was studying Computer Science including mathematics. After one year recovery from surgery, she returned to college all prepared.
    4
  14451. From 7 to 11 ... 4 hours of sleep GREAT
    4
  14452. Thankyou 🤧
    4
  14453. If I listen to you a little longer, I'll end up murdering my two-decade-old procrastination in cold blood. The ''just do it'' from your mouth sounded so full of rage and burning passion that it's potent enough to kill everybody's procrastination.
    4
  14454. For your example with the absolute value limit, I found it helpful to look at the graph after solving algebraically.
    4
  14455. Great video. I was a TA for calculus. I give you an A for neatness. There was nothing more frustrating than someone's messy homework.
    4
  14456. "You are here NOW, you are taking the class NOW. Make it count. Find the motivation. Succeed. DON'T GIVE UP. Put in the effort." These words are a blessing.
    4
  14457. this was soo helpful!!, thank you so much <3
    4
  14458. I'm doing an Open University course, so am studying on my own all the time. Wish I had a math buddy to talk to. UK
    4
  14459. last homework of the semester, many thanks my dude.!!!! You're doing the lord's work.
    4
  14460. C and C++ are anything but dead. People consistently want the same things - they want the performance and stability of GOOD C/C++ code but they want it to be easy and take a fraction of the time it takes to generate. This is why every time we get the new thing which promises to outperform or outquality C/C++, all the java/python/whatever goblins come from their tiny little bootcamp caves and start raving that C/C++ is dead. They want it to be dead so easier stuff can become the norm, giving low caliber coders easy bread.
    4
  14461. @4:20 It's actually the fourth book in your review, not the third.
    4
  14462. I really liked your video! I just want to tell you.
    4
  14463. Love your math, Math Sorcerer!!! Keep it full bore!!! :) :) :) :) :) :)
    4
  14464. Los videos en blanco y negro son elitistas.
    4
  14465. The entire problem reduces to: find the Sine of some angle (a) ; Sin(a)=? If we know that the cosine of that same angle (a) equals 1/4; Cos(a)=1/4. So: Cos(a)=1/4 Sin(a)=? Sin(a)=+-Sqrt( ( 1^2 ) - ( 1/4 )^2 ) = +- Sqrt(15)/4 The problem is solved without even knowing what that angle (a) was. ** +- because there are 2 different angles with the same cosine in the trigonometric circle
    4
  14466. If only I had a professor like this man here, sigh
    4
  14467. I also feel like the vibe you get from the Teacher/Professor gets transferred to the work they're trying to teach you. If I hit it off with the teacher, I'll feel more positivity toward the material and be more inclined to even study it. For the spring semester, I'll be taking Calculus 2 online through Webassign so I can develop my own relationship with the work. Besides, if you type in any math topic in YouTube, you are sure to find some explanation that is congruous with your brain's wiring.
    4
  14468. Back at it again with the blueberry pie lol. Larry's wife has got to hook me up with some of that pie!
    4
  14469. hugs from Brazil🇧🇷♥️
    4
  14470. Elyne Khoo because a and b can be intrinsically negative but absolute value is always positive
    4
  14471. Me: hmm seems interesting let's try for a bit Math Sorcerer: "so when you stop doing math for two weeks" Me: two weeks, that's 14 days... oh crap
    4
  14472. My son is starting college next fall and is serious about going into industrial engineering. He's very good at math and likes it a lot especially when there are applications involved. I think a good plan for him would be to get the industrial engineering degree with a minor in math and then a master's in industrial mathematics. My field is engineering, but not industrial, so I'm not in a good position to guide him. Can you offer any comments on industrial mathematics programs in the U.S.? The one nearest to us is The University of Wisconsin - Milwaukee. They offer Master's and PhD programs as far as I know.
    4
  14473. Man, the IMO. I have looked at some problems. I’m my university we have an analysis professor who the mathematical Olympiad in the 80s.
    4
  14474. I have a class past Calc 3 called “intro to Algebraic Structures “ and I have no idea what that is . I was planning on taking Linear Algebra and ODE but both those classes don’t fit in my schedules sadly
    4
  14475. I want to be fantastic at algebra and have be at least average at calculus by July or August at the latest. Then I plan to try to get into some online college classes toward teaching math in junior high or high school. I'm surprised to find out being fantastic at algebra is actually viable for me. Not sure about the calculus. Right some of the calculus I see in videos looks like a space alien language to me. I'n hoping that changes the higher algebra I get into.
    4
  14476. Omg, U did this for me? Thank U, great man.
    4
  14477. Although I believe you and my main priority as a university student is to learn as much as I can about different topics and learning is what really drives me I can’t help but question, aren’t your grades the thing that reflects the best if you’re really learning?
    4
  14478. Came looking for relationship advice but found something so much better
    4
  14479. A what level are those books aimed at? Would a student leaving high school in US have come across calculus? In the UK I first came across very elementary calculus for Maths O Level. O levels were the exams taken at 16 before they were replaced by GCSEs.
    4
  14480. My grandparents used to own a house where What About Bob was filmed!! It’s actually not Winnapasakee, but Smith Mountain Lake in Virginia! Just an interesting bit of trivia :)
    4
  14481. your video has saved me [THANK YOU]
    4
  14482. In which order should we read these books for real analysis ? Bartle & sherbert , tom apostal, walter rudin, william F. Trench, R. Creighton buck
    4
  14483. My lecturer immediately jumps to e^2i(theta) and explains that it depends on theta. But I find this way much easier to understand. Thank you.
    4
  14484. It matters big time. You have to "click", so to speak, with the teacher. Not every teacher for every student. One of the best math professors I had in grad school, was not liked by everyone. I found him fantastic. I took several classes from him. I learned a heck of a lot of math. One of my friends couldn't stand him. To each his/her own. When I was in grad school, we had the Rudins (as in Principles of Mathematical Analysis) as guest speakers. Walter Rudin lectured on Analysis of Several Complex Variables. I could hardly understand anything. The lecture was lost on me. Later, his wife, Mary Ellen Rudin, lectured on something called the "box topology". She was so different. I really got the feeling I learned something. She was almost like an elementary school teacher talking to a group of sixth graders, but she was talking PhD research material and it was understandable! Also, your motivation has a lot to do with it. As a teacher, you have to convince the students that high school algebra, a required class, is relivent to them. A college instructor, probably doesn't have to convince his complex analysis class of anything. They probably know why they are there. That is, unless some guidance counselor put them in the wrong class.
    4
  14485. This is so true and can relate a lot it but hopefully will like to learn more.
    4
  14486. Yet another great vid as always
    4
  14487. Very interesting. I've never heard of Measure Theory and I don't think I'll ever be a Wizard! At least there was no Grassman Algebra.
    4
  14488. Wonder if you could do a short video on "star-domains" in complex analysis. What is and isn't a star-domain and several examples. Thanks.
    4
  14489. 3:50 I hate this shit! Professors do this all the time, and never explain the reasoning behind it. Heck, I see it on math forums, from tutors, tutorials, etc... one of these days someone is going to actually explain stuff instead of pretending the students have as much experience in math as the professor. Great video, really did a good job on portraying these professors. I'm entering a masters program that is using math I haven't used in 10 years and am doing review for it. It's like riding a bike, but some tutorials I found are painful to watch because they assume we are all knowing.
    4
  14490. what does the star mean?
    4
  14491. You should look into organizing them based on the tallest books being to the left and the shortest being on the right. It creates this cool cascading effect with your books.
    4
  14492. I truly love your channel, keep doing the amazing work
    4
  14493. Thank you!
    4
  14494. 👏✊👍 Awesome !
    4
  14495. Yes, I collect old textbooks. When I was younger, I always had the thirst to learn. I've collected serveral math and reading books and began practicing. My advise is to learn by practicing over and over until you get it right.
    4
  14496. So I don't watch your next videos 😅
    4
  14497. Hi math sorcerer
    4
  14498. My bench pr is on the unit circle
    4
  14499. 1/2
    4
  14500. I didn’t know I needed this humor in my life lmaoo
    4
  14501. I got an A in calculus 2, but to be honest this exam looks taxing :/ I just went back through my Calculus 2 notes and our exam on series and it is nowhere as difficult as yours. I did take my elementary calculus sequence with the engineering students though, so maybe that's why the rigor wasn't really apparent. I'm about to finish my intro to analysis class this summer and I still find myself struggling with series (I think it's mainly the algebra that I suck at). It's a little embarrassing being a senior mathematics student with somewhat weak algebra skills, compared to typical maths students (I'd imagine most at my level now are pretty good at algebraic manipulations?). Question 19 was definitely not a question we would have had in my Calculus 2 class I think back in 2017. I saw that in advanced calculus.
    4
  14502. Great video The Math Sorcerer! I am self-studying undergraduate abstract algebra, and personally I think Artin's book is not too hard to follow. I am using a lecture series that uses the book so that makes it easier.
    4
  14503. How do you get all these books? Do you buy them full price? Got any links?
    4
  14504. Math jesus REALLY wants you to know that you aren't bad at math
    4
  14505. I agree, but unfortunately, the exams doesn't wait, so, you must be aware to don't take it so slow. Anyways in summer I like to take it slow cause it's like discovering something special when you understand something you thought it was difficult. One question Math Sorcerer, could you please give some advices to read math books faster or how to read them efficiently? Cause this semester I have to learn all by myself, reading and reading, so it could help a bit if I go a little faster hehe. Thanks anyways!
    4
  14506. I am interested about subject, but as a Finn I also am interested in the last name Aho, which is Finnish, like hockey player Sebastian Aho in Carolina Hurricanes. I saw on internet that writer's father was Finnish carpenter, who moved to the US. In his second name V stands for Vaino, which is Finnish Väinö written without dots. (The same name exists also in another Finnic language, Estonian, as Väino.)
    4
  14507. You’ve helped me so much. Thank you!
    4
  14508. SIR THANK YOU VERY MUCH SIR FOR SHARNING ALL THE LINKS AND TELLING ABOUT BOOK. REALLY HELPFUL VIDEO🙂
    4
  14509. I thought I'd have to start with prealgebra, but then found out I knew more math than I thought I did. I could have started with an intermediate algebra book instead. Dare I say I found any math boring when I started to self study? I started to find prealgebra boring. Very quickly. If I was taught math, I'd find a hundred year old math book and make a test out of problems in it. That way maybe the students in my class would have less chance of having already done the problems😆😆😆
    4
  14510. Good one thanks)
    4
  14511. Oh thanks man, i was really having a hard time, trying to get the mid-point, never thought it was that easy. Thank you.
    4
  14512. Thanks
    4
  14513. I would also recommend The Feynman Lectures on Physics for a science angle. Feynman's method of teaching derivitives is great!
    4
  14514. I came to know about your channel from my friend and I can't believe how I was sitting so long without knowing you !.❤️
    4
  14515. I have that exact edition, which I used in the 1980's! :)
    4
  14516. I meant boyce and deprima.
    4
  14517. A lot of my math books are vertically stacked, upon dressing tables or even the floor. They're battered and ''foxed", but I love 'em!
    4
  14518. What helped me big time is collecting and listening to audiobooks written & read by U.S. Navy Seals. Helps for mindset, for keeping the morals high and probably most importantly to keep yourself accountable in all ways of life. My fellow mathematicians: Lookup Admiral McRaven, Commander Mark Divine; and definitely Extreme Ownership. Just please make sure to only listen to audiobooks that are actually written AND read by the author. Resources: try Google Audiobooks, try Audible.
    4
  14519.  @TheMathSorcerer  I am more into the application end. Applied machine learning. A funny thing I do when I read a paper, is that I check the bio of the author. If they come from a math background, this is a BIG warning that the paper will be like gibberish to me :D
    4
  14520. Clutch God!
    4
  14521. I still have my copy. It's about 40+ years old now.
    4
  14522. There a book "Elementary Number Theory" written by Burton which has a bunch of references in amazon. It would be great to have a review on it
    4
  14523. 📙💯
    4
  14524. I smell engineer.....
    4
  14525. My problem during college: We only have 10 weeks per term and we rush the topics. This video is correct, in my experience we would have a big study session and some of us would asked our teachers if none of us can figure it out.
    4
  14526. Off the topic,sir you look so FRESH! You look rejuvenated, and less stressed! Yes Math is a good form of social distancing, because it's so immersive. Movies toooooo!!! That's all I'll be doing. M&M (maths and movies) EDIT: I am still giving my public examination, despite the virus, though everything here is closed. So hopefully I get through that well, because many people come to give that exam xD
    4
  14527. This was awesome as a college student I’m spending the summer teaching myself python and it is often disheartening but knowing that despite the difficulty others were able to do it before me, gives me motivation. Thank you
    4
  14528. First ❤❤
    4
  14529. You are amazing sir .......🥰
    4
  14530. The sad thing is that there are A LOT of teachers like this
    4
  14531. Well you're at the stage where you're transitioning from computational to proof based. I assume your LA class had a few proofs but was probably more about application (I could be wrong!). Practicing proofs is something that can't really be done easily, especially without the guidance of a teacher. The best thing maybe is to find some source of proof based questions for whatever you are studying that has full solutions. That way, you can try writing up a proof and then compare it to the one they give. This isn't perfect because there are many ways to approach a proof. The skill comes with experience and there's not a good way to rush it. Another thing: you will likely run into more hurdles than with computational math. I might be wrong, but it's really fundamentally different to learn proof based math vs computational formula based math. You shouldn't expect things to come as naturally as before (I'm assuming by your pace that math has always come naturally). A lot of times I have to put a subject down for 6-12 months (I self study during winter/summer breaks) until it clicks for me. You're already far ahead, so don't get too worked up if something doesn't click immediately. Another thing is that each general subject (algebra, analysis, topology) has its own sort of intuition for proofs. A good way to tell that you really understand the material is if you can look at the exercises and guess the approach just from the information given. Each subject will require different lines of thinking and different ideas, so working solely on one probably won't help with the rest. These are just some things I've noticed personally, but it could vary for you.
    4
  14532.  @adamdameron7853  You could try doing every exercise in Tom Apostol's Calculus Volumes 1 and 2 (skim the book, too, and review as necessary), physically writing the solutions down (either in a physical notebook, or on overleaf, but it's a good idea to keep your solutions to look over them later). This should be a great test of your knowledge since this is material you should know (including calculus, linear algebra, and differential equations), presented with an eye towards the more proof-based style. If you can do this, you're ready for undergrad math. Why every problem? The only way to learn math is by doing problems for mere mortals--it's said, in legends, that Galois could master mathematical texts by just reading them like a novel, but I don't believe it; he was probably doing a lot of problems in his head at a very quick pace so as to appear to be merely reading the text through. Beyond that, if you're insanely ambitious, learn Aluffi's "Algebra: Chapter 0," Munkres' "Topology," and Rudin's "Real and Complex Analysis." That means doing/attempting every exercise. Even suggesting that you do this may sound crazy to others. However, if you learn these 3 books then you will have the technical chops to move into any area in grad school. You may need to study other easier books before these. That's fine--there are a million ways to do this. However, if your goal is to completely prepare yourself for PhD-level math as soon as possible, then this would be the fastest possible way to do it, I think. If you care about problem solving, read Zeitz's book with a private tutor if you can afford one. Also, work problems from various repositories. Project Euler is one particularly fun source which isn't mentioned in Zeitz.
    4
  14533. VERY CHEAP BOOKS PUBLISHED BY MIR. I BOUGHT SEVERAL THIRTY YEARS AGO IN BRAZIL
    4
  14534. I need really basic school level stuff. I'd really like to know my multiplication tables. Life would be so much easier if I didn't have to worry about mathematics on top of everything else. One fewer complications.
    4
  14535. Thank you very much sir. Helpful video 🙂.
    4
  14536. I have found your channel recently and in love with your stuff,, motivating, inspiring and informative. Thanks. Liked your book reviews too much.. Keep it going😊👍
    4
  14537. Solitude is not that bad when you are acquiring great knowledge.
    4
  14538. In honor of your contributions, I give you the name He-who-snorts-math-books. Respect!
    4
  14539. Sir could you please suggest best logarithmic and exponential books for beginners as well as for practice.
    4
  14540. Calculus by its nature is a survey course of analysis for non-mathematicians, say engineers. Math majors take the same material with more careful proofs, but no applications.
    4
  14541. I have never heard of this topic Also i think texts without all the answers are easier to sell to professors so they don't have to write their own homework assignments.
    4
  14542. First
    4
  14543. 1972, "super, super old" was one year after I left school and started my first job. Yes, I remember when dinosaurs roamed the earth. Well, almost. 😊
    4
  14544. What college are you a professor at, if you mind me asking?
    4
  14545. Do you have any recommendations for advanced calc/ real analysis?
    4
  14546. My statics professor actually suggested wolfram alpha if we get stuck on a homework problem to gain insight how to do it
    4
  14547. I'm taking PDE next semester and my first thought was, " I wonder if the math sorcerer has a book review." Thank you! Just ordered the Dover reprint from your link. Where did you get your edition?
    4
  14548. Is it call curl test ?
    4
  14549. The author is of Greek descent, and he pronounces his name "aposTOL" - with the accent on the last syllable
    4
  14550. I will comment after going through the lecture.
    4
  14551. Woooooooowwwwwww...this video “rocks!!!” LOL!!!
    4
  14552. It might be fun to do a worst math books video.
    4
  14553. Thank you!!
    4
  14554. you have lots of problems with learning algebra clearly :D
    4
  14555. How to know if becoming a maths professor is for me?
    4
  14556. Plane and spherical trigonometry by Frank Ayres, Jr. is a great book
    4
  14557. I want to thank u for your help
    4
  14558. There's a pdf file of it in the archive.
    4
  14559. What would be the average or mean score of all the Harvard students taking this final exam? Highest and lowest score?
    4
  14560. Thank you!!
    4
  14561. Omg same
    4
  14562. i have test in about 3 weeks, im really behind because this class was really boring for me. i hope ill do good
    4
  14563. I m from India, I read in class 10 , I have seen your all videos and I love it ❤
    4
  14564. Hey Math Sorcerer! I have begun studying the Fitzpatric Advanced Calculus book but it has no answers... do you recommend I try to do all the exercises?
    4
  14565. I made my decision. I like manifolds, so I focus on manifolds.
    4
  14566. Nice video as always :)
    4
  14567. there is an interestingly hypothetical that anxiety and laughter make up a coin. "Lense of a comedian" is a experimental utility suggestion.
    4
  14568. Where would Basic Mathematics by Lang fit in here?
    4
  14569. Thanks for this tutorial. Logarithm is what I am relearning this week.
    4
  14570. Another great video. Thanks.
    4
  14571. Another important aspect of life.. .
    4
  14572. Check out the website called Open Library. There, you can find millions of books for online reading. Membership is free. Digital borrowing of ebooks is free as well.
    4
  14573. This video was so relatable and so good.
    4
  14574. Excellent example for beginners learning proof technique, and it also shows why Linear Algebra is best place to start learning proofs.
    4
  14575. Do you have lectures on point of closure on metric space? Thanks!
    4
  14576. Costs less than a taco and feeds you for a lifetime. Thanks for sharing. Your enthusiasm for this book is great. Makes me wanna dig up another great book about the principles of typography. Not the most exciting topic but there's something about the writers passion for it that makes it special.
    4
  14577. Sir which topic should i start after reading linear algebra? Plz tell me ..
    4
  14578. Excelente!! Muy clara tus explicaciones. GRACIAS.
    4
  14579. that book is nice, i'm reading it
    4
  14580. I took Liberal Arts Math when I went to college.
    4
  14581. I love nirvana and mtv unplugged. Thanks for making me like math dude.
    4
  14582. Thank you this helped me a lot 🙏🏾
    4
  14583. hello, can you do a video on Mathematics in Computer Science Engineering? thank you
    4
  14584. about to start calc 1 this semester, thanks for the advice
    4
  14585.  @TheMathSorcerer  🤣😀 love from India our 2nd Ramanujan is you
    4
  14586. Here is my experience, I struggled passionately at first so that to make math my habit. But surprisingly I ended up addicted to it. :)
    4
  14587. I worked in graduate admissions. Masters programs are treated like cash cows in the the industry. It's insane.
    4
  14588. Please MathSorcerer, put clear for all of us (your followers) that math is a LANGUAGE.
    4
  14589. You hit all the places I look when I decide I want a book. Amazon, abebooks, and ebay.
    4
  14590. When running up against mathematical brick walls, just imagine yourself as the Kool-aid Man. Oh, Yeah! But seriously, when I'm feeling burnt-out, comedy helps me step-back and get my stress levels down. Everything becomes more manageable when you're not super stressed out.
    4
  14591. looking massive mr.sorcerer. you are truly an inspiration, both physically and mentally...
    4
  14592. I bought my copy in El Salvador a few years back. Great book for learning math.
    4
  14593. Anything for advanced linear algebra?
    4
  14594. One thing that really enraged me recently was listening to this current administration talk about this disease. Mickdipshit Mulvaney said the other day that this isn't as bad as SARS or Ebola, erroneously alluding to the fact that SARS and Ebola have a significant higher mortality rate than this outbreak of Coronavirus, so therefor there is nothing to worry about. What he failed to mention was that this disease has a transmission rate way higher than Ebola (which was a non-threat to the US) and even that of SARS. 8000 infectived at a 10% mortality rate during the SARS epidemic. vs 80k+ infectived currently known for Coronavirus with 2.8K+ known deaths. (the current estimated mortality rate is around 2%) Do the math.
    4
  14595. my savior
    4
  14596. Are you winning, son?
    4
  14597. How do you stop having anxiety about math, and get confident with it ? Do you think self study is the best way to get confident with math ? Like studying in summers for example Even when you are not that bad in math you get stuck beceause you're always stressed to do mathematics...
    4
  14598. Nice video Sir, thank you so much. Useful video.
    4
  14599. Hi
    4
  14600. Do you have any tips for a high school student (12th grade) that wishes to do research in algebra, topology or differential geometry? I studied Algebra and Galois theory at the level of Artin - Algebra and topology at the level of Munkres and Hatcher. I have also taken a university course in proof-based linear algebra. Now, I am trying to read through Lang - Algebra and category theory. However, I can't find a professor to work with as the university I am taking classes at part-time has mostly applied math research and very few pure math research. How important is a professor in trying to do research? Right now I am trying to read papers on arXiV on group theory, but while I somewhat understand the paper, I struggle with extending it or generating a unique enough idea to merit any kind of research.
    4
  14601. Wow, this could not be more topical as I'm currently in need of some review of CA in preparation for a Riemann Surfaces course in the coming semester. Speaking of, do you recommend Conway's books? I've always heard mixed things about them but am wondering whether they would be a worthy investment for someone who likes the more condensed, Ahlforsian expositional style. Thanks for the great video as usual!
    4
  14602. I think learning math gives you good foundation for learning CS, I'm a sophmore at math and education school and I'm taking a gap-year to explore CS
    4
  14603. I'm pursuing a mathematics degree, studying part time. I suppose I make a halfway decent living at my job, enough to provide for myself, pay for my education, and have a bit left over, through being careful of my spending. I'm not doing it expecting any great direct material benefit. I love mathematics, what little I understand of it, and I feel compelled to learn more. I have noticed that the more I learn, the more I think, and the more carries over to my day to day life, both creatively and through problem solving. It's amazing.
    4
  14604. Loving the pep talk, Sensei! I'm ready to trudge through the integrals and determinants! Where to start Linear Algebra or Calc 2 review lol
    4
  14605. Morris Tennenbaum for Differential Equation is also a great book....
    4
  14606. Something I should overcome is fear of failure, sometimes I don't want to read a book because I have fear of getting stuck in an problem ):
    4
  14607. I’ve been interested in studying math, thank you very much
    4
  14608. Thank you sir
    4
  14609. I am happy when other people do maths, so that I can do brain-picking them and learn much from their maths. I sometimes answer math puzzles (better than crosswords). That too makes me happy. I follow my favourite mathematicians online, those at Stackoverflow, Quora, Twitter, Facebook groups, YouTube, etc. Whatever online maths that I find very interesting, I take screenshots of them and store them inside scrapbooks via Google Slides. Taking screenshots is way QUICKER than notetaking by hand. Later, in Google Slides, I annotate brief notes on screenshots or write offscreen comments. On plus side, screenshots act as memory triggers and they are a BIG HELP, as I am usually VERY FORGETFUL. Mathematics is not the only thing that makes me happy. I always have other hobbies so to break up monotony of day. Examples such as art & animation, 3D modelling, Gregg shorthand, readings at Open Library or Internet Archives, creative writing, vocabulary building, programming, etc. I always have a variety of interests. If I find maths too difficult, I give it a break and do something else. After maths, I often go to Open Library online and I read works by exemplary writers of academic English & technical English, also authors of math books. I take note of their diction and styles. I love reading scholarly theses, though I'm not gifted at thesis writing, as I suffer from bouts of Writer's Block.
    4
  14610.  @TheMathSorcerer  Ssshhhhh There's no such thing as too many books ;-)
    4
  14611. I think you should do the best you can and have the best life you can build for yourself. Let others that think low of you or have tried to humiliate you see you being happy and see you having a fantastic life. Bullies won't like that, which makes happiness best revenge.
    4
  14612.  @TheMathSorcerer  Very well said! You just cleared a doubt I had. I alway had this doubt, people always tell you to work hard and keep going no matter how much you fail. Then what about those people who failed in a course, and switched, and became super successful in life (I'm not gonna type the names, but there are so many people). So yes, you put it in the best way, "work hard", but be smart about it. This is fairly complex, and we just need to have faith when making such choices. Blind hardwork will probably not get anyone anywhere.
    4
  14613. This is amazing many, many thanks
    4
  14614. Greetings Mr. Professor, Thanks for the Valuable Concern in admittance of Mistake which clarify the Misconceptions about Mathematician 's Work in every aspects. My Thoughts : I too made a Terrible Mistake of sharing Hyperexpensive, Important Standard Textbooks with Friends, Fellow students at that time and kept in Shrewd Close relatives place which led to Loss of Priceless Books. Lesson Learnt. Moved on and presently Collecting Books one step at a time. Handle with Care. Take Care.. With regards, RanjithJoseph (R.J)
    4
  14615. Nice little video. I remember how hard my sister was struggling and she got her master's degree. Your channel is really cool!
    4
  14616. Thank you so much sir.
    4
  14617. O great sorcerer ! WE neeed more of this content ! This Witchy content
    4
  14618. My NEWEST FAVORITE math video!! Thank you, Prof. Dr. MS!!! JSYK (Just so you know), I have a number of great books in my private mathematics library devoted to the Golden Ratio. So I was thinking about those as I watched this awesome video. As always, I thank you for producing and posting it!!! 🙂😉
    4
  14619. Thank u soooo much .... 😊😊
    4
  14620. f = f•id
    4
  14621.  @TheMathSorcerer  You should do reviews on more physics textbooks, particularly college physics books and books on physics for engineering students.
    4
  14622. Grades definitely matter! It’s always helpful to at least try!
    4
  14623. there is a meme for this: I fear no man, But that thing, (arbitrarily small Math text books), It scares me. For some reason the smaller books are always harder. I suspect that it's because authors of math textbooks separate subjects differently. Calculus textbooks are rarely seen out of their trinity(calculus 1,2,3) and algebra is almost always written with Linear and Trigonometry. Rarely do you find a "easy" math subject that doesn't have a corequisite.
    4
  14624. Thanks for sharing this tips, I am struggling with it right now.
    4
  14625. If your sitting up front, going to tutoring, going during office hours, doing work sets, making a genuine effort then I would pass that person. I did a degree audit yesterday and I’m happy to say that I’m 50% away from getting my degree 📜
    4
  14626. Hello
    4
  14627. I am privileged that I subscribed to your video.
    4
  14628. I have no idea how this ended up in my recommendations. I've never searched for anything math-related, ever. Anyone else?
    4
  14629. I... Must... Buy... Ahhh!
    4
  14630. "And if you really want to be ready, just do every problem in the book." - Professor Dork, died laughing
    4
  14631. Yes, please do a video on Dover books! 😊
    4
  14632. Youtube has announced they'll remove Community Contributions on September 28th. So passed that date it won't be available anymore.
    4
  14633. Thank you so much, been stuck in the first unit of Apostol's calculus for a while, You are a godsend!!
    4
  14634. Sweet and simple!
    4
  14635. first
    4
  14636. Thanks! This is great!
    4
  14637. Finally a review on this book!!!!
    4
  14638. I love your channel! Thanks from São Paulo/Brazil.
    4
  14639. alternate title: How to loose your sanity
    4
  14640. I would think that most people watching something like this at least know some basic trig and algebra so a used college algebra/trig book would be a good start?? I got one based off one of your videos recently and it's pretty good. It really has a TON of stuff in it. The hardest part is sitting down with it and actually diving in. After I work all day I'm not really in the mood to be honest. I'm thinking about starting to work at it a little bit early in the morning when I'm not really doing anything else.
    4
  14641. I was wondering If you'd make a video about math to apply to things math teaching that aren't really talked about when It's about applying & utilizing certain job types
    4
  14642. Uffff Sir! You're a great mathematician but also a good investor?? 👍 You're the best as always! Thank you!
    4
  14643. I think that because sometimes I play competitive games on pc, I train myself to focus. A tip I would give is to turn off your phone instead of just silencing it or something, that way it would take time to turn it on again, and you wont find yourself accidently looking at facebook or whatever
    4
  14644. I cannot tell you how much of an inspiration you have been for me as an undergraduate freshman.
    4
  14645. I am very thankful. I aspire to one day be like you.
    4
  14646. i went from spivak to stewart so that should be indication of how much of a let down stewarts book was
    4
  14647. That Bacon quote was wild. Math made you what you are, so now pay up and make math beautiful
    4
  14648. THANK YOU SOO MUCH!!! SOMETHING WHAT I WAS LOOKING FOR LAST 5 YEARS!
    4
  14649. Can you make videos on trigonometric functions as class 11 grade in india
    4
  14650. great video
    4
  14651. I think Toward Vectors or Alongside Vectors would be a better title than About Vectors. ;-)
    4
  14652. Hi
    4
  14653. Hilarious
    4
  14654. A video on how you file your paperwork such as notes , problem answers, jottings would be useful. Thanks.
    4
  14655. Yippie new video! 🧙‍♂
    4
  14656. The "Thomas" books after the 4th edition (1969) were written by other authors after Thomas died, and were based on the earlier works, but were not the same book. I have to disagree on this one, the earlier editions were better, with the 3rd being the best.
    4
  14657. Who else paused the video at 1:54 to solve for lambda and to see if the Lagrange multiplier solution worked?
    4
  14658. It looks like the latest edition (3rd) of Serge Lang's Linear Algebra has removed the more abstract algebraic chapters from the end.
    4
  14659. Physics with calc may not be considered a ‘weed-out class’ per se but it certainly feels like one... I dare say it’s harder for me to grasp than the Organic Chemistry series was.
    4
  14660. What even is the point of these trivialities
    4
  14661. Where do u teach?
    4
  14662. Reviewing math books bob ross style
    4
  14663. Calculus is hard especially if it is self-paced and it just gave me an anxiety and depression. What a life, it is And thank you for this
    4
  14664. btw, Halloween is over :o
    4
  14665. calculus is hard?
    4
  14666. The rat puppet returns!! The problem arises from using x as both a variable and as a description of the number of terms it contains. Great video!!!!!
    4
  14667. Thanks for the video, great stuff as always. You channel, alongside the motivation from my gf (a cs major) have really helped me to lose the fear i had of math bc of my experience back in school. Now im 1 week in a bs (equivalent, im not from the states) cs uni program, my second try at uni after 7 years of working life (i was 2.5 years into a music major but the family support stopped so i had to leave and work, so as you imagine all of this is a pretty big change, from humanities/art to stem) i have pretty big voids in the required knowledge, but im working thru it. 😄 Do you happen to know the difference between the big tome versions of TAOCP vs the box sets by any chance? It's on my uni's library and i've been reading it a bit in my free time, im definetely not prepared for it but i like how the author writes. Thanks for all of your help!
    4
  14668. Thanks
    4
  14669. Thanks!
    4
  14670. You can also use recursion, which greatly simplifies things (by applying the definition of exponentiation: x⁰ = 1, xⁿ⁺¹ = x · xⁿ): double power(double base, unsigned exponent) { if(exponent == 0) { return 1; } return base * power(base, exponent - 1); }
    4
  14671. Thanks for the review. I too own some of the books you have and have worked some of them out. Three books you may have missed are: Higher algebra - Hall and knight, Plane trignometry I and II - S.L Loney, Coordinate geometry - S.L Loney. These are famous. They are british authors and the books are nearly hundred years old! I recall working them out completely many years ago.
    4
  14672. I love your channel sir. I was really passionate about math in University. I took calculus 1,2 and an introductory proofs course. But then my marks were so low in Calculus 2 that I realized that the subsequent courses (e.g. Multivariable Calculus) would not be practical for me to pursue when there was a lot pressure on me to graduate in time. As a result, I have abandoned the study of math but I still believe that it can be pursued for its own sake.
    4
  14673. Let me tell you two things: 1 - I’m addicted to your videos! 2 - I envy your collection! 😂 I’m a book collector but don’t have 1/10 of the books you have.
    4
  14674. PLEASE GIVE-ME MORE!!!!!!!!!!!!!!
    4
  14675. wow! Army math!
    4
  14676. I’m watching this video after one in the morning, and I am so relieved that you found a way to cancel out the X -5. Thank you for posting.
    4
  14677. Hi! I just wanted to thank you for your amazing videos and your very helpful videos . I also had a question and I'd be glad to get any advice. Can I consume I'm not fast enough at math before even having practiced enough in my entire life? Comparison's been eating me
    4
  14678. For U substitution, we always have to make sure that match the du and dx and then don't forget to substitute the original x back to the u right?
    4
  14679. Has anyone told you that you look like Eddie vedder from pearl jam? Besides that, I don't go to college and I find that your videos have helped me a lot in my self study of topology and abstract algebra. Thanks! 👍
    4
  14680. Unlock your inner product
    4
  14681. I would love to have a math teacher like this.
    4
  14682. Do you think I can study all of that from the internet?
    4
  14683. I love VINTAGE math books. They are gems. I read them at Open Library.
    4
  14684. i am into real analysis but cannot get any books here in my country as no online services work in my country do you have any recommandations on how i do it? ps: your stuffs inspired me getting into topology
    4
  14685. Thanks for making videos :)
    4
  14686. 2nd
    4
  14687. What math class was that problem from? I can’t imagine spending a week in a problem
    4
  14688.  @TheMathSorcerer  excellent video as always and very funny.
    4
  14689. Sir can you make a youtube video explaining topics about unit circle and the relationship between linear and angular measures of a central angle in a unit circle .. it wud b a very big help for me in my class.. thank you sir.
    4
  14690. I can't concentrate for more than half a hour per day no matter how quiet the environment is, even when I'm taking a exam :(
    4
  14691. Better than KHAN. Ty
    4
  14692. Bro is shiny version of math sorcerer
    4
  14693. Lol
    4
  14694. As someone who's doing integrals after 5 years of not doing them, that's a good formula thanks
    4
  14695. what if i want to know what i want...
    4
  14696. This has been one of the single most dominant themes in my life, dating back something like 4 decades. "Learn some math. Don't use the math every day. Forget the math. Have to re-learn the math. Don't use the math every day. Forget the math. Have to ..." lather, rinse, repeat. It's only just recently that I decided to make a determined effort to keep the stuff I learn in my head, by using Spaced Repetition[1] via the Anki[2] program. Done diligently, SR effectively allows for infinite recall![3] So yeah, as I write this, I'm literally just taking a break from creating Anki cards for some math topics I am focusing on right now. I'm looking forward to using this to truly commit to memory all the tedious, boring, mechanical rules and formulas from basic Algebra, Trig, etc., so I can feel confident about moving on to the higher level stuff. I'm expecting this route to be a real game-changer for me, as long as I stay committed to reviewing my decks frequently enough. [1]: https://en.wikipedia.org/wiki/Spaced_repetition [2]: https://apps.ankiweb.net/ [3]: https://www.efavdb.com/memory%20recall
    4
  14697. Great video as always
    4
  14698. True... Mathematics gives me happiness.
    4
  14699. OOOOH BOY!! SIR YOU GOT SO MANY new VIDEOS on this channel. I have to binge all of these asap
    4
  14700. I've watched 10 plus videos so far and non of them made sense till this one, thank you very much!!!!
    4
  14701. finally, someone who doesn't overcomplicate it.=)
    4
  14702. Thank you Sir. Useful video.
    4
  14703. How do you get your skin to look so nice??
    4
  14704. First
    4
  14705. Thanks for the help
    4
  14706. "Hello, everyone. I am Professor Astrid. Welcome to the class. This is Calculus Seven. Today, we're going to be doing some mathematics."
    4
  14707.  @TheMathSorcerer  thanks. I'm going through Stewart's Precalculus with the help of math videos on YouTube I also have his Calculus I am watching videos on Calculus too Its funny but I'm actually starting to understand some of the math in Calculus the more math I study
    4
  14708. Good evening sir, can you please make a video about a solution to a problem which has to do with excercises at the end of a chapter? Sometimes I have this problem where I read a chapter and once I get to the problems I don’t understand how to do them. I think many other people will benefit from this, thanks 🙂👍.
    4
  14709. This was helpful
    4
  14710. Studying 15 hours a day is no wonder, because in India i have seen students preparing 18-20 hrs per day for JEE exams
    4
  14711. Are you serious 😬
    4
  14712.  @TheMathSorcerer  Thank you so much
    4
  14713. We appreciate your hard work and effort. May God bless you. Happy Holidays.
    4
  14714. Also, the textbook examples all had them centered either at 1 or 0 so I didn't have much to reference. I very much appreciate you and other math Youtubers explaining these types of questions.
    4
  14715. Wow, very well said sir!
    4
  14716. One word: practice
    4
  14717. I'm a korean student and helped by your explanation thank you
    4
  14718. Hey Math Sorcerer, do you have any tips on dealing with stress of forgetfulness?
    4
  14719. Please tell us about the book called ' Calculus by Tom M Apostol '
    4
  14720. EE is hard
    4
  14721. Greetings Mr.Math Sorcerer, Thanks for kind Share. Knowledge interlinked with Good Social behaviour makes memorable moments in Grad school. Take Care. With regards, RanjithJoseph (R.J)
    4
  14722. Calculus was and is my "standard model Lagrangian"... I didn't realize how unprepared I was and thus had to step back to precalculus to rebuild my foundation and my confidence.
    4
  14723. It is not easy to know how unprepared we are, until we are given tests like exams. Btw, I am not in college.
    4
  14724. Thanks for your videos. I found your channel was I was struggling with pharmacy math calc, I just found out that I passed the exam and I'm now a pharmacist. Thanks man 🙏
    4
  14725. Thanks a lot for these videos, it’s genuinely helps
    4
  14726. First of all math is just a language. The concepts which are delivered by this language are hard to understand. Just like natural language, almost everyone can speak. But not everyone can deliver complicated messages or receive them.
    4
  14727. You are* ?
    4
  14728. Yes. Thankyou Sir:)
    4
  14729. Can you make a video on how to ace take-home math exams
    4
  14730. Whatabout the one from woods
    4
  14731.  @MsEady123  yeh your brain at least picks up on the procedural part of math fairly easily compared to others but lots of practice is the way
    4
  14732. When did you decide to take fitness seriously? Let’s face it, us dweebs could take more time on our health. It also improves focus. I’m a lot more dull since I stopped going to the gym. 😢
    4
  14733. It depends on the book but I can give you a basic guide. 1) Read an article about the subjects; mostly Wikipedia or nlab, but the main idea is to build expectations 2) Skim the book/chapters. Don't try to get everything, try to look at the lemmas and theorems and get a feel for them, it's not important you understand them yet 3) now you can finally read it in-depth. since you know now what to expect, you can focus on what ideas are important and try the proofs yourself. since you should have a basic understanding how things fit together, you should struggle a bit, but ultimately be able to do the proofs. that's then you become friends with the concepts themselves. during this it's not unusual to struggle with just a few pages for a day or more. math books can't really be read like a novel.
    4
  14734. Your videos have been a huge help in the past few years. Helped me through the college very much. I am very much grateful 🙏
    4
  14735. Your videos are amazing. Currently in college studying physics in the Uk
    4
  14736. agree
    4
  14737. 1st!
    4
  14738. Can you please recommend some Set theory book for beginners ????
    4
  14739. I’m taking Linear Algebra, College Geometry, Graph Theory, Mathematical Probability, my Senior project, and an online teaching course. It’s going to be a long semester 😅
    4
  14740. Gretting from Buenos Aires, Argentina!! i'm a 3rd year electronic engineer student, studying at UTN university!!
    4
  14741. Honestly that’s about true for my diff eq class, but I’m taking it over the summer
    4
  14742. I do math everyday, log is two elixir and skeletons are one elixir, that is three elixir total.
    4
  14743. Thank you
    4
  14744. Thank you so much for this kind of videos. All the best from Genoa, Italy
    4
  14745. I learned from that book...23 years ago...still reference it
    4
  14746. last minute saviour
    4
  14747. Thank you for this video. Math is definitely difficult without role models.
    4
  14748. This is slightly off topic, but how is the class work in grad school compared to upper level undergrad work? I'm getting ready to start my masters in applied stats, and this is something I always wondered. I took nonlinear dynamics and chaos in my undergrad work (math major) and it doubled as a grad course as well; but the grad students only had one extra hw problem per night. From that experience it was much easier than I was expecting. Would love to get your thoughts! P.S. It's always nice to see people who collect math books as well. I have all my text books and pick up more whenever I get the chance. My most recent purchase is Tilings and Patterns by Grunbaum & Shephard (Fellow UW alum :) ), I found it had the original receipt from when it was purchased it 1984, thought that was pretty cool.
    4
  14749.  @TheMathSorcerer  my god thanks for all the advice! my grades in science and math have been consistent over the years (A1, the equivalent of A+ in the american school system, like the highest grade possible) so i think i could apply to some top schools. btw is any video on olympiad prep coming out soon ? (imo, ipho) i would love to hear your take, cuz i wanna write the ipho
    4
  14750. Had no idea this channel existed. Absolutely fantastic!
    4
  14751. This 'study with me' was really helpful, thankyou 😊 Love your videos!
    4
  14752. Subscribing your channel is one the best decision I've made in 2020
    4
  14753. Let's do this!
    4
  14754. Make a video about your daily routine when you were a University student.
    4
  14755. In this order: Journal Sleep Wake up and meditate while drinking coffee Practice a bit of programming Eat Work, while listening to audiobooks Eat Practice a bit more programming and some drawing Repeat for workdays. If I don't have time to meditate in the morning, I do it before I journal. It's a very new routine that I'm still working out, but it seems to be going well.
    4
  14756. "Life is not about finding yourself. Life is about creating yourself". Genial. I agree 💯
    4
  14757. Great video; simple and clean
    4
  14758. OMG I ACTUALLY GOT INTO THE VID
    4
  14759. I used this book in a compiler-course and then later on for self-study. I really liked it although I think "Engineering a Compiler" is considered to be a better alternative now. Concerning MtG: there is Magic the Gathering Online (quite old but high level players) and a bit more modern Magic Arena - both are not exactly cheap but if you want to play a few drafts or sealed both are great - if you want to play constructed it might take a while to get the cards (or wildcards in Arena). I play Arena from time to time and enjoy it quite a bit.
    4
  14760. I spent like hour to find it and whole time it was that simple
    4
  14761. Dear sorcerer, the main reason I study math subjects is for the simple joy it gives me. I am almost 50 years old but still. A lot of free time and a conviction I can still expand my knowledge although not as fast as I would like. It has been a bit - all or nothing - . Last year I finished Calc 3 and now am learning Linear algebra hoping one day I can understand and reason out Galois theory, but that is still a long way ahead, especially since I am so very uncertain about my autodidactiv abilities. Thanks for all your advice. Very to the point. With best regards, Jurgen Koopman - Netherlands
    4
  14762. I can't believe that this is high school math in America while I just learned all that stuff on my first year of career
    4
  14763. It is not the calculus part that is hard, but it is all of the other concepts, not just the algebra, that makes calculus hard. You first have to learn to understand the questions, and prepare everything as good as you can, before making the differentiation or the integration. If you integrate by partial fractions, for example, you first have to make the partial fractions, which is the hard part. And then, if you have done that, the integration is mostly just applying some standard integrals. Or, if you do multiple integrals, you first have to define the parts of the integration domains, and split them up in the best way, including knowing in what order to integrate. If you have done those preparations, the integration(s) is (are) not the hard part. The same with partial differentiation of functions of Rm to Rn. You first have to figure out the vectors; what goes to what exactly. Once figured out, the rest is fairly easy.
    4
  14764. I am really liking your new short videos. Great idea!
    4
  14765. Omg, I wander what is the size of your bookcase😂. I mean I’ve watched a lot of your videos and I still cannot stop saying: “wow grate video indeed, and yet where the heck does he keep all of them…”
    4
  14766. Thank s
    4
  14767. Is it possible that I can study a master degree in mathematics or physics after obtaining a bachelor degree in computer science?
    4
  14768. I have no idea what your talking about but I cant stop watching
    4
  14769. I learnt calculus from this book 40 years ago, probably from the first edition. Loved the book but my recollection was the book was much more theoretical with very few practice problems. I remember after taking the course that I could prove derivative/integrals existed but I couldn’t actually do them. I still have the book. I will have to compare this video to my book when I get a chance.
    4
  14770. In business school I think I remember this being called Cowboy Calculus
    4
  14771. 2 easy rules to master common Greek letters in 2minutes!! μ, ν, ξ, π, φ, χ, ψ (rule#1 these all rhyme with "free") me, nee, ksee, pee, fee, hee, psee (is how they are pronounced, respectively) β, ζ, η, θ (rule#2 these all rhyme with "cheetah") veetah, zeetah, eetah, theetah, (is how they are pronounced, respectively) θ = theetah, and has soft "th" like "thoughts" or "theatre" that's it! (I heard your comment @ 2:39 you've helped me so much, no I can halp you!) Greek is my 1st language, even though I was born in the states, so it's all legit. : - )
    4
  14772. What is the best book to self study analysis??
    4
  14773. the art of REALLY listening and taking notes of the lecture highlights, big ideas, key points, without looking down at the pad. that way you are ENGAGED instead of sitting there drifting at times...because if you miss a key idea you can't go back to notes if you didn't take any. also, many teachers test strongly from their notes...good luck if you don't have a photographic memory for tiny details . TAKE messy quick notes...then, afterwards RE-WRITE your notes into something organized. Go back through the book clarifying and adding parts from your text or other sources. This strengthens understanding and memory of the subject. do not do not take neat notes at first. take FAST notes. don't focus on the notepad, keep focus on the lecture. same as driving.
    4
  14774. im taking a course in discrete math and dam this class is tough , never have trouble with math until now
    4
  14775. Being 46, married, and working full time I went for my Masters. Plus, the local universities do not offer a PHD. But, I still wish I could find a way to go for one.
    4
  14776. Excellent recommendations and I really appreciate and admire your enthusiasm, genuinely authentic, thanks~👍
    4
  14777. Thanks for this.. I always have the same feeling
    4
  14778. In the late 1960s I used Protter and Morrey, College Calculus with Analytic Geometry. It was excellent.
    4
  14779. sometimes a proof is too much to take in at once (especially a proof) and you need to take notes to read it later
    4
  14780. This is a really good idea. I don’t practice speed in math, but I do in my Spanish class. My friends and I speed run vocab tests against one another and we are really good at memorizing words. It helps in language because you want to be able to speak and translate quickly but I never thought of it for math.
    4
  14781. The keys are passion and determination. I see a lot of math that is not explained very well. Completely understanding has become my passion. Sweating the details is hard in the short run, but makes things easier if you’re in it for the long haul. Agree with you about giving yourself time. You can’t cram for math like you can ‘facts’. It just takes time, like you say, which a lot of people either don’t have, or don’t want to spend. It also seems like a subject that lends itself to solo study. So many people are hyper social, want to always be in a group. Math is hard, and if you’re in a group, the tendency is to let someone else do the work. But then you’re not really learning, just memorizing. In short, lots of people can’t learn math because they just aren’t interested enough (no passion or determination).
    4
  14782. Thank you sooooo much!!!!
    4
  14783. Any thought about Haward-Anton's calculus book?
    4
  14784. This saved my grade, thank you!!😭😭
    4
  14785. Hello professor! I'm a non-math major undergrad but I find math really exciting. I've gone as far as calc 2 and linear algebra in college, what would be a good next subject to tackle in self study? Spivak's book is interesting to me, but unsure if it might still be too advanced for me at this stage
    4
  14786. The Math Sorcerer you are welcome.
    4
  14787.  @TheMathSorcerer  If you could would you go to college again to study another degree? Which one would it be?
    4
  14788. Thank You! I Loved Your Answer, To This Question! Knowing This Is Empowering And Confidence Building For Students! Thank You, For All Of Your Help!
    4
  14789. I... actually like word problems.
    4
  14790. Sounds like a scam of a proof xD. Love it.
    4
  14791. The fact is... There's no finish studying math
    4
  14792. Thank you!! Thank you!! Thank you!! I always look forward to your awesome and informative videos be they pep talks, math book reviews, or even on problem solving techniques. You do such great work, so don't stop doing what you're doing, Math Sorcerer!!! :) :) :) :)
    4
  14793. Than you very much. I am not a mathematician but I really resonate with your mindset. These are the general rules for success and I appreciate that.
    4
  14794. Thank you for this video! I always loved Math and now I'm a Mathematics undergrad student. But I really don't know if that is what I really enjoy and I also don't know what to do with my life anymore. edit: grammar
    4
  14795. You can dabble in things such as statistics or computer programming on the side. The jobs which deal with those subjects are usually open to accepting math majors who meet the rest of their listed requirements. Math degrees can be very flexible.
    4
  14796. The only way to make your math strong: being in a cave and doing graduate level math for 10 years non-stop
    4
  14797. Interesting video, seems like they were having fun there
    4
  14798. everyone around me says that I can't master math on my own, that it's impossible...
    4
  14799. Haha, you just have to memorize some facts. With good study technique and interest it's not difficult at all
    4
  14800. I’ve been reading through Stewart’s calculus (late transcendentals) and I found that I love infinite series and their manipulations 💚
    4
  14801. I want this to go viral! I'm sending to every math major I went to school with. Please make more of these. I want to see this video topic have its own series.THANK YOU.
    4
  14802. OMG! Yesterday I just bought the Spanish version of this book! For about 2 bucks! I can't believe the coincidence!
    4
  14803. Preparing (a few years in advance) for applying to grad school. Do you have any advice for students who wish to study abroad? Also, I’m not sure if you’re aware of the channel CHALK with Nathan, but he’s got a lot of excellent math grad school related content. Might be worth a look if you’re interested in making more content for would-be math grad students, or really for anyone looking for more advice.
    4
  14804.  @TheMathSorcerer  When you mentioned the Sylow Theorems I thought of that problem. It's not original with me. I remembered it from Paul R. Halmo's Automathography. It was a test question on a master's exam. If I remembered it right, the question had a "why or why not" added so you couldn't guess. 😎
    4
  14805. For me it is like doing push ups. I said to myself, I am going to do 100 math problems everyday, and no more different than push up, I did only 3 to 5. But I did do them everyday. thanks for this video.
    4
  14806. Thank you, Thank you and Thank you. Exactly what I was looking for!!
    4
  14807. Thank you so much for this Video. This truly will help me a lot.
    4
  14808. Let me tell you something honestly The so called "start to finish" It will never finish even if you have 100 more lives
    4
  14809. Here in India teachers don’t give a full on explanation as to why certain things exist the way they are when it comes to mathematics. I have only known that the derivative of a constant is always zero and not ‘why’ it is zero until now 😮
    4
  14810. Ya I know🙏🙏
    4
  14811. This is a digital hug, dawg. Thanks for the advice, even if it got cut rather abruptly.
    4
  14812. Trigonometry is not difficult for me
    4
  14813. Very short and sweet, thanks so much!
    4
  14814. Nice video thanks
    4
  14815. I don't mind sacrificing the rest of my life to learning mathematics.
    4
  14816. Thank you for what you give us for free, may God protect youحفظك الله
    4
  14817. Finally, a video I can relate with!
    4
  14818. Thank you, Mr. Sorcerer. Great advice. Your videos always help me
    4
  14819. I really wanna read this book and Sequrity analysis till the end of my 20s
    4
  14820. excellent
    4
  14821. You're classes are hilarious man. Really good sense of humour👍
    4
  14822. For me I don't care about grades, why? Because I'm studying at Sana'a University here the better grades you get, the more stupid you are!! Here we don't learn (literarly) anything, we just memorise the rules and use them in exams without understanding!! So I don't care about grades. I remember when I explain to my classmates that the integration is equal to the area under the curve, they weren'r knowing that!!! Neither physics nor mathematics students!! 😖😖😖 Even the exams we take the exams of the previous yeads and learn them by heart, that's how we get grades 😑😑 You have mentioned a big issue, which if I want to talk about it I would need a book of many volumes.😩😩
    4
  14823. Another subject to ace for a career in Astrodynamics.
    4
  14824. I wish your channel was around when I was taking math
    4
  14825. This is so real and can relate and understand from it thank you and will try hard to get it all I can stop to imagine. Thank you.😅😆😀💕
    4
  14826. The popup that appears in the video towards the end of the video interferes with the recap, which I found frustrating/annoying.
    4
  14827. Again, explaining everything perfectly. Thankyou!
    4
  14828. I love your Videos But sometimes I Get *Startled Because I look up From What I'm Working on and you are Starring into my Soul, your Intense focus is Something I Strive to Learn. Thank you For Your Great Videos! They have Helped me Re-learn How to Learn.
    4
  14829. This video inspires me. What keeps me motivated me to learn math is to look threw mathematical material I don't understand and fantasize that I'll understand someday even if it looks like an alien language to me at the moment. This has inspired me to sell some of the current non-maths book that I don't read anywas for more maths books.
    4
  14830. Ladies and Gentlemen, these are just "basic" or "elementary" mathematical results, don't put too much effort and stress yourself learning this stuff....
    4
  14831. thank you!
    4
  14832. Thank you, somehow made it to Abstract Algebra without fully understanding these terms. Great explanation!
    4
  14833. First
    4
  14834. This video was so helpful for me, so I was study mathematics in the past byt constant I forget some rules. That's why I would like study from zero for have more consistently bases and try don't forgive again. Thanks so much bro.
    4
  14835. Hammack: FREE and good. Cummings: CHEAP and good. Velleman: NOT SO CHEAP, but good.
    4
  14836. I love you for this video
    4
  14837. This account is unappreciated^^ bless you for the help my g 🙏
    4
  14838. Thank you
    4
  14839. Hello sir how are you
    4
  14840. 2:52 Should first define what the implicit function F(x) is, then use implicit function theorem(wouldn’t be faster in this case) or directly derivative to obtain the result.
    4
  14841. I can only do 1 math class per term and do well. I'm a meticulous tortoise who takes a long time to memorize math formulas with doing countless problems.
    4
  14842. personally i found math to require much more perseverance than intelligence. i believe anyone can learn maths, it is only a matter of continuing foward and doing your best to fill in any gaps in your own knowledge you find as you try to study harder and harder material.
    4
  14843. congrats on the 500k! i first found out about you through the original learn mathematics video and have kept watching book reviews and other videos since. you're the one that inspired me to try self-studying slightly more advanced math than what we were currently being taught in class, and i have been quite loving it. hope you continue to review more books!
    4
  14844. For someone self-studying, can Calculus-based Physics (& Engineering) be learned before Differential Equations & Linear Algebra? Or should DiffEQ & Linear Algebra be learned before Calc-based Physics (& Engineering)?
    4
  14845. this is impossible to find in spanish, thank u so muchh
    4
  14846. 🧡💜 you're amazing, sir ✨️🙏🏻 wishing you the best
    4
  14847. This book is a classic! First time I heard about it was 25 years ago when I was studying CS at university, at a compilers class. 15 years ago I was offered the french translation of the second edition of the book, that was just released, back then. I still have it and even if I don't work in the compilers field, it's a vey interesting book to have because lots of different concepts are used when building a compiler, and this book covers most of them.
    4
  14848. I'm disappointed that not your entire class knew about epic sax guy
    4
  14849. hoping to get comp sc engineering, videos like this are coool
    4
  14850. I'm surprised Munkres Topology didn't make the cut...
    4
  14851. It can be any number it wants to be.
    4
  14852. Due to my terrible handwriting my teacher failed me this time in maths😂 I don't know laugh or cry..
    4
  14853. Try remedial practice for improving your handwriting. Hold your pen lightly and lean lightly your pen on paper. https://youtu.be/Dh_Zjo4RqyE Take up art. Practise lots of hatchings and cross hatching. No joining their ends. Note, most artists have neat handwriting.
    4
  14854. Wish your channel could put like minded math geeks together. I need a math wizard partner.
    4
  14855. This is a great channel! I started watching last year when I was in pre Calc. I liked math but I just saw the vast diversity and massive scope of it all and felt like I was stacking sticks in the mud while watching a skyscraper being built next to me. That being said it defiantly made me more ambitious so the goal I set for my self was to take 8 math classes in my first two years (on top of my other physics, chemistry and computer science classes). Next quarter I will be taking Differential equations and Calculus 4 (some universities call this advanced calculus I think). I am really excited since I will finally be taking some intermediate courses instead of being stuck with my baby math classes xD.
    4
  14856. Love your videos
    4
  14857. The Math Sorcerer that old-licensed plate might sell at eBay for $20 thereabout, possbily $50 or more if embossed. In my country, people are mad at buying old junks like road signs, car plates, etc and use them as wall ornaments. Even reproductions are selling crazy. Customers just love bits of rust on antique junks, signs of ageing. My parents used to sell old junks like ironcast skillets, doorstoppers, gramophones, etc.
    4
  14858. Really surprised! I will be more than happy if you know a little Arabic :)
    4
  14859. wow as a feshman about to take c1 I really apreciate this. Very insightful.
    4
  14860. I met this book in my undergraduate mathematics courses at the University of Queensland. It wasn't a set text for my course, but the lecturer praised it highly. You are right: it has many challenging problems, but so many of them are very interesting. I would so like to get a copy of it, but it is so expensive. It costs $177 on Amazon in Australia. BTW; The YouTuber mathematician Michael Penn said it is his favourite calculus textbook. :face-red-heart-shape:
    4
  14861. OH MY GOSH how do you make such relatable videos 😭 to be honest when i read the title of making silly mistakes, the first thing what came up to my mind was finding the inverse of a matrix , because that's what i used to struggle the most in my high school years for getting all the computations right. Right now I am a math major , and I can confidently sit with a book of proofs and absorb what's written in there. But somewhere I used to feel so dumb as I couldn't always get all the multiplications right back then and spend long hours in it. Now, when I saw your video it motivated me so much. Thanks a lotttt. Love from India. ❤️
    4
  14862. Here’s a good intro book for functional analysis: “Elementary Functional Analysis” by MacCluer. I found it to be really accessible and it’s relatively short. I really like this one
    4
  14863. Kindly tell Which is better herstein or Joseph gallian ?
    4
  14864. Very true!
    4
  14865. Which university do you teach at now?
    4
  14866. This is Elvis from Brazil. I am attending your courses at Udemy. I am waiting for a good course on Linear Algebra that only you could provide us!
    4
  14867. this video is incredible it took me so long to understand otherwise thank you so much!!
    4
  14868. I bought a textbook a couple of months ago and always said tomorrow. Ima start.
    4
  14869. Loved this video. Very nice explanation.
    4
  14870. Ur lextures👌🏿
    4
  14871. I would recommend the Linear Algebra by Grossman, it's a really nice book. Greetings from Colombia.
    4
  14872. First of all, the answer is film studies. For whatever reason, I can handle the math, ece, chem, and physics just fine. But for whatever reason, this gen ed gave me so much trouble, and i still have no idea why lol Second of all, did you post a video last night and then remove it? I went to look for it so I could check out the links but I couldnt find it 😖
    4
  14873. Nice, can you make more videos about proving theorems?
    4
  14874. Gonna grab this
    4
  14875. I have to continue grinding at math. I really want to be a Mathematician
    4
  14876. Thanks! Keep doing ya thing man!
    4
  14877. Thanks professor. Inspirational and a math whizz. I love science so I started a science YouTube channel. I’m a teaching assistant right now too. I don’t know the full future but I love making the science content and learning and sharing my love of it. All the best.
    4
  14878. If ever a math book deserved a proper whiff/smelling, it would have to be a book from 1892....
    4
  14879. Sheldon Axler published a new book this year called "Measure, Integration and Real Analysis" It can be downloaded for free. Can you make a review?
    4
  14880. You need to make it explicit that x≠0, otherwise you'll lose points with my lecturer. Other than that, 👌
    4
  14881. Hahaha i hoped that math was like this in all time !😂 College math is super super different
    4
  14882. I just got 3 algebra books from the library. I’m looking to master algebra and then move on to harder subjects. Just for fun
    4
  14883. Thanks a lot. I have just started after completing my statistics portion 😇.
    4
  14884. 'books are weapons in the war of ideas' 🗿
    4
  14885. Own this one! Love it! Its a good complement to the book of proof.
    4
  14886. Congratulations! Love from India 🇮🇳
    4
  14887. As always, great advice. I will try to set minimum goal for myself!
    4
  14888. I've gone through this whole textbook and just love it. I'd also highly recommend Briggs.
    4
  14889. Great book. I wished all these had solutions manuals. Still, I will look for it on Amazon.
    4
  14890. Math is an extremely powerful tool in engineering. Cant do engineering without math and physics!
    4
  14891. Man, I could use some blueberry pie right about now!!!
    4
  14892. Today is the first day of the rest of your life. Stay healthy, do some math, and don’t stress over the past.
    4
  14893. Yes maths is totally powerful that it helps you to get girls lmao.
    4
  14894. I'd like to see you surf that board
    4
  14895. I absolutely have no idea what in the world this book talks about, but I share the same enthusiasm of opening the mystery package of book!!
    4
  14896. thanks!... Greetings from El Salvador. 💜
    4
  14897. can i know where you get these books from. because in my country the book is for 1185$.
    4
  14898. It’s also important to remember that Einstein also went to mathematicians to get help for difficult problems. They may have had a specific way of solving those problems that Einstein perhaps didn’t know! So remember: Einstein, who probably had an IQ north of 190, also found things difficult. He went to get help. We should do the same instead of concluding we aren’t gifted.
    4
  14899. Have you read "Real Variables with Basic Metric Space Topology" from Ash?
    4
  14900. Very true—I’d say easily that 90% of Basic Calc 1 topics require you have a VERY GOOD working of algebraic manipulation Every class SLOWS DOWN dramatically when the Instructor has to explain why abs value and exponential algebra are necessary to solve a problem.
    4
  14901. Loving these complex analysis videos! Keep it up!
    4
  14902. Thanks for the video.
    4
  14903. This popped up on my recommended and I still haven’t done hw lol
    4
  14904. It's interesting to hear you say that sum and product of roots isn't commonly taught these days. Maybe true in the States, but in the UK, this is covered in A Level Further Mathematics, which is taken by stronger mathematicians who are usually 16 to 18 years old. (In the 1970s, the topic was part of the simpler A Level Mathematics - sic transit gloria mundi)
    4
  14905. You found a wizards manual
    4
  14906. 🤣🤣🤣 good thing I’m an Applied Math major lol! (Our university knows they have to be nice to us cause there’s not many of us!)
    4
  14907. One this is Amazing.... self studied material stays with you as it has a bonding with you... you taught yourself🥰
    4
  14908. love u x100 prof
    4
  14909. I love you sir❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤
    4
  14910. Thank you very much for the series of StatCrunch lessons! It is truly helpful for me!
    4
  14911. This is basically me on online school. Today was my second day of school and I will have a test in 1-2 weeks so wish me luck.
    4
  14912. This channel is very very useful and beneficial
    4
  14913. Hey Can you review another good proof writing book which is a bit less costly than this one ?? Would be really helpfull if you could do it as it costs 10,000 Rupees (=$135.90) which is very expensive.
    4
  14914. You can always tell that a professor is good when they wear terrible clothes
    4
  14915. I'm practicing maths right now...thanks for the encouragement bless you
    4
  14916. Thanks so much. Have a few kids to give it to, and maybe a few adults.
    4
  14917.  @TheMathSorcerer  Thankyou:)
    4
  14918. One of the reasons I watch your vids is your low editing style. No ear blasting intros, just straight to the point
    4
  14919. Your explanations are so easy to understand and simple, and straight to the point💯, no unnecessary writing or talking, I am preparing for my exam and u are a huge help and u saved me from wasting my time to search other vids. U got a new sub, thank you.
    4
  14920. And you’re almost at 300k! Congratulations!
    4
  14921. too late.
    4
  14922. Econometrics is pronounced ee con o MET rix. 😊
    4
  14923. Hello!!Can you please upload lectures on Fourier series and Fourier transform?
    4
  14924. Nice bro 😊
    4
  14925. Simple and beautiful 👏🏻👏🏻
    4
  14926. Start with Geometry since it is visual and tactile: pencil, straightedge, compass. Discrete Math is another good place since it usually isn't taught in high school. Topology might be a fun place to start as well. "Man, I hated High School Topology!", said no one ever. Exersizing one's mind keeps you sharp at any age, but especially as we get older. Thirty years ago when I was in grad school, and older gentleman, Lee M., would attend Physics courses to stay sharp. I'm 55+ (well ... closer to 60-) and a new assignment at work motivated me to brush-up on Complex Analysis, and Electromagnetism. (I'm glad I kept my books!) The stakes are still high, since this is work-related, but a combination of work experience, maturity, and the absence of the "school grind" makes revisiting these topics easier.
    4
  14927. Your youtube channel is an inspiration! I always look forward to watching your videos as I plot my ever-ongoing ongoing mathematical studies!
    4
  14928. amazing
    4
  14929. literally, no one else actually explains it. they just say its surjective because all y can be achieved via the subset of x values. yes but if I write that when my professor asks for a proof I will be failing the course. Thank you for ACTUALLY providing the proof and method.
    4
  14930. This is a great trick Man...👍🏻
    4
  14931. I wish my YouTube feed could be filled solely with videos like this.
    4
  14932. Might actually read this book. Looks good
    4
  14933. wait, was it uploaded 2 days ago? there is so much more examples on this channel. if you put so much stuff here i may even find what i got on my calculus classes. thanks man!
    4
  14934. how is it possible for you to make this proof make sense???? Truly a Math Sorcerer
    4
  14935. If you like the thick lead of a wood case pencil but don't like how they get shorter as you use them up, you might consider getting a clutch pencil aka lead holder. It's basically a mechanical pencil with "full size" leads. You also need the matching sharpener ("lead pointer").
    4
  14936. I was in an Honors physics class at Berkeley in the '70s and went to see the professor during office hours. The student who was seeing the professor before me, a very bright man who probably never before in his experienced confusion and difficulty with any subject, was so confused that he was having trouble finding the cause of his confusion and couldn't narrow things down enough to form a question? I could see the pain on his face. The teacher just sat there and withheld himself from helping the student find what might be the cause of the confusion. He just let the student flounder as he leaned back in his chair and gloated at this student's pain.
    4
  14937. adding this to cart
    4
  14938. My mother was a book fanatic, and she loved a change of scenery. Moving was hell!
    4
  14939. Just found your channel and I already know it is going to help a lot haha, nice video!
    4
  14940. and here am I.. a 15yo kiddo who doesn’t even have enough money to buy 1 book out of that collection..
    4
  14941. In surveying and celestial navigation, degree-decimal minutes are not uncommon.
    4
  14942. Wish you were my PDE teacher, love the way you teach
    4
  14943. good video thank you
    4
  14944. Thanks very much for your awesome videos! Please when writing epsilon-N and epsilon delta proofs should I include the scratch work? I've got the exam coming up so I'm wondering.
    4
  14945. What I find curious about the method: "Doing it without fractions" is that it is technically difficult enough that you would be good at fractions in the first place, if you had that level of understanding anyway, and there are so many steps, it could have been done far more efficiently by just using fractions in the first place.
    4
  14946. When I teach I just tell students: "Your homework is your grade". And I don't have exams. Or grades. The students learn by doing and collaborating, by submitting work and iterating on the feedback that I give them on their work. Cheating isn't even a thing. And I get great results with this system.
    4
  14947. To verify the identity, just ask for its drivers license
    4
  14948. From India Pranam🙏🙏🙏🙏🙏🙏 sir, I just watched your videos on differential equations, amazing. You have increased my interest in mathematics, I am searching for long the educator of you like my classmates. I have some problems in mechanics and fluid dynamics, If possible please make a complete class on the topic. I will be very greatful. Love from India🇮🇳🇮🇳🇮🇳.
    4
  14949. Parts of this video suggests that comparing the contents of old textbooks to the current ones might made interesting videos. For example after watching the video, I took a look at Hall and Spencer Elementary Topology which was used as a basis for the course I took and which covered homeomorphism over only four pages in the Topological Spaces chapter and had four problems. At least according to the index which interestingly told you besides references to a topic the pages that problems for that topic are found.
    4
  14950. Excellent video, continue reviewing old math books please
    4
  14951. Do you wear wig ?
    4
  14952. Wizard, my wife is supportive of my math pursuits how do win her over to maths?
    4
  14953. Everything you say is true, but you still can run into professors who are vendictive and petty. When I was an undergrad I was taking a history of math class. I knew a lot "about" mathematics, but no more than your average bear "of" mathematics. I had read and knew a lot of the history of mathematics and mathematicians, but I was no better or worse at working out problems or doing proofs than anyone else in the class. The first day of class the professor asked "What is the mathematician's favorite fairy tail?" For me the answer was easy, "Alice in Wonderland", because the author was Lewis Carroll (Charles Lutwidge Dodgson) a very talented mathematician. I popped off with the answer and the professor was NOT amused. I had "stole his thunder" and wrecked his lecture on how state university students were a bunch of ignorant dummies. Needless to say, he zeroed in on me the following weeks forcing me to drop the class and take it again with another professor. He was constantly calling on me and asking obscure math history questions and if I didn't know the answer, he would give me that "you're not so smart as you think you are look". Anyway, I'd say, he had a problem, not me.
    4
  14954. I just ordered the 3rd or 4th edition for my upcoming analysis class, feels good to hear that someone else used it to effect too, as self study works best for me by far.
    4
  14955. The technique in 4:17 is pretty effective, and is how I used to do those types of problems back when i was worse at math, but then I started seeing weird numbers...weird large numbers that couldn't even be calculated. For instance, there's one that said what's 2²³⁸¹² + 2²³⁸¹². The answer would be 2²³⁸¹³, but this couldn't be straight up calculated. Great one, though. Keep up your great work 👍
    4
  14956. #no abusive notation
    4
  14957. Amazing!!! I was waiting for a vid like that
    4
  14958. Cars really freak me out too, and normally when something freaks me out like this I'll look into the stats of how dangerous things are. Unlike most things I look up though, it turns out cars are actually pretty dangerous. 😪
    4
  14959. Astonishing man! Thanks a lot for this type of advices, cause they really encourage and help us, well at least me. And this makes me believe I can improve my english. Thanks again. ¡Saludos desde España!
    4
  14960. E
    4
  14961. Wizard, do a math movie 🍿 picks. I like Donald Duck in Math Magic land, Stand and Deliver, and A Beautiful Mind.
    4
  14962. i dont think I am old enough for that yet sadly
    4
  14963. You are the best man I forgot about the x in the parenthesis thing and tried splitting the middle term lol
    4
  14964. When you said calculus based statistics my mouth dropped to the floor that sounds like so much fun!!
    4
  14965. My Sunday is lit now!
    4
  14966. One of the worst test format are those once you go to the next page you can't go back, because the awnser saved automatically, it takes a lot of time to be sure that you solved it correctly also you cannot skip a dificult one to do it later. If you skip it, you lose the point.
    4
  14967. When TMS 🧙‍♂️ said “six” and held up two hands my eyes read =sum(1+5). As a high school teacher I spend several hours a day in Excel/Sheets.
    4
  14968. They do ot better obviously
    4
  14969.  @Hi_Brien  lucky! good luck go kill it!!
    4
  14970. Great video, I love mathematics and have been making time for it every single day. I was suppressed to see a video on Technical analysis for trading. I Trade Futures and that was cool seeing the two worlds collide. Although if anyone out there Trades I would recommend Probability and Statistics as well as behavioral Finance. These two subjects will Inform you just a little on trading and developing your own approach to markets. Great video Math sorcerer!
    4
  14971. I have this book and I def agree! The chapter on Logic, counting and probability....excellent! Plus so many great exercises!
    4
  14972. I am in x class I can't understand what you solve but I am watching 😀
    4
  14973. Interesting. I don’t think my Larson text covers PDEs
    4
  14974. Thanks so much for mentioning that he was a Black man--I'm African American myself, and have googled his name. And it's important for America to know that there was at least one famous Black Nuclear Physicist in America in 1961!
    4
  14975. I was feeling real down this week because I failed my advanced calc test, you posted this video at a good time. Thank you 👍🏽
    4
  14976. Good Job Professor
    4
  14977. Love from 🇮🇳 india
    4
  14978. Good attitude, believing in yourself and time to study. I guarantee you, you will not fail.
    4
  14979. Any suggestions on where we could find 2nd hand books (related to maths ofc) on the internet?Greetings from a maths undergraduate from Greece!
    4
  14980. Im an open university student in the UK and studying maths so these tips are extremely helpful. Going over my notes always helps me refelct my understanding as the majority of my study is self taught so its easy to confuse myself. Thanks for the tips!
    4
  14981. Really Nice Sir. I Like you're bookshelf , lot of interesting books 😊. (You're inspiring me Sir 😇☺ thanks. )
    4
  14982. Thanks TMS! Watching your videos has helped shift my mindset. I do math everyday and I’ve stopped beating myself . Instead, I shift to focusing on mastering the steps in the formula, then I’ll go back later to dive more back into the mechanics.
    4
  14983. Perception is everything.
    4
  14984. You're seriously my comfort person. Thank you so much!
    4
  14985. Nice explanation sir....👍👍
    4
  14986. You're an amazing teacher. A true wizard
    4
  14987. Thank u soo much for it.. ..😀
    4
  14988. I thought this was an actual lecture.
    4
  14989. Great advice...!!! Never thought of it...!!! I like math in general, but I like abstract algebra the most...!!!
    4
  14990. I have this one as well. It was helpful in understanding winding numbers when I was preparing for my qualifying presentation for my PhD. The calculus book by Courant was also useful and easier to read than Apostol.
    4
  14991. That’s deep
    4
  14992. Much love, abdallah. Fluids is tough!
    4
  14993. Specially when taking it with a professor who teaches senior and master level classes only. On the first day he said, “this will be your worst summer ever.” And apparently he was right 😅
    4
  14994. Disc and shell was easy!
    4
  14995. Software is the hardest
    4
  14996. I'm a viewer from Brazil and my name is George just like the book's translator, what a nice surprise!
    4
  14997. 2:50 This boy straight up just did partial derivatives using mirr-σ instead of script-d.
    4
  14998. Mathematicians are the closest thing we have to wizards in the real world.
    4
  14999. thanks
    4
  15000. Thanks a lot for sharing your experiences 👏👏👏
    4
  15001. I can’t wait until I get to the point of my life where I’m knowledgeable in many different areas of math, so that I could teach thousands of students the “backbone of our society”. Math.
    4
  15002. Now that I finally know how to simplify such expressions... can you please make a video going over Inter-universal Teichmuller Theory? XD
    4
  15003. Thats awesome!!
    4
  15004.  @TheMathSorcerer  thank you
    4
  15005. Again starting my math study after 10 years.
    4
  15006. tHANKS
    4
  15007. Thanks 👍
    4
  15008. Hey! I have that book. Love it! You start from the middle.
    4
  15009. This is an excellent video
    4
  15010. thx u ^)
    4
  15011. Sir can you please solve some couple of Jee Advanced questions and help us to understand what we should do while preparing for Jee
    4
  15012. I believe it is time + the right plan and good resources.... Thanks for that :) P.s. my 6 years old daughter liked the bird on your shoulder :)
    4
  15013. Thank you sooo much!!
    4
  15014. your learning that's why your there! just stay on the grind try to keep your creativity and push on!
    4
  15015. 1st view.
    4
  15016. I think .He just pronounced it well.
    4
  15017. Nine months ago, I started watching a couple of your videos in between language learning clips. Today the fourth math textbook, one on proofs, was ordered.
    4
  15018. I love how clear this video is. Thank you
    4
  15019. Math Sourcerer thanks for the upload, it's important. I began with year 9 algebra and geometry then went to functions and the rest. Now I'm doing vector calculus, multiple integration and so on. Self study from the day you Decide you want to pursue your journey is what helped me out and obviously the internet if I got stuck. Then when you begin, your passion and study habits are well-developed
    4
  15020. confused as to what you mean when you say "by 1" and "by 3"; do you mean by the time something equals 3? by substituting something with 3?
    4
  15021. Have u heared of the course continuum mechanics ,,am taking it also ,,what is the math about
    4
  15022. That's a great method! I'll take a look at the book.
    4
  15023. An average person can definitely learn math on their own and be decent at it. Consistency is the key, not motivation. I picked up a Ron Larson book to relearn algebra and trigonometry from scratch and dedicate at least 4 hours every day doing all exercises in each topic. Needless to say, my confidence in algebra improved significantly. There really isn't any shortcut but to just to do it which most people fail to do because they are too lazy to invest time to sit down and do math.
    4
  15024. a = +/- 1 would like to introduce themselves
    4
  15025. I am your new subscriber. And I really likes your video . You always motivates me. Thank you sir 🙏🏻
    4
  15026. thanks for making this so simple to understand.
    4
  15027. I end up watching videos of James Stewart, but the actor, not the mathematician....LOL
    4
  15028. Best 100 books for super expart in math
    4
  15029. What! I didn't know you have a channel in Spanish, see you there 😊.
    4
  15030. Hi, l watched this video again and I have a question if the age play a role to get fully funded PhD program because I 37 years old and My goal is getting an award in applied Mathematics specifically in Mathematical Statistics . Again, thank you for this video and you are wonderful
    4
  15031. Thanks again for recommending book, I actually bought the "Integral calculas" book and started working on some problems I actually thought I forgot calculas 2 but I can tell I remembered most of it. Thanks again 👏👏❤️❤️❤️❤️❤️
    4
  15032. Thank you for the great videos.
    4
  15033. I don't know what GRE is and what it is for. I am not too familiar with the educational system from USA.
    4
  15034. Badass thanks
    4
  15035. There should be if there aren't already somewhere some class that goes over proof in exquisite detail. It's used in several classes, but the schools I went to didn't offer any proof classes. I had the most fun with it, while still knowing barely anything about it, in Discrete Math. I think PMI, which we find in Discrete Math, is used for quite a few proofs iirc.
    4
  15036. The opening cuts right to the heart of the matter. Thank you very much for sharing your experience!
    4
  15037. That’s very smart
    4
  15038. Thank you Sir 🤗
    4
  15039. I respectfully yet strongly disagree. Sure, if a student looks at the solution once or twice and then moves on, they are not going to learn anything. Yet, the student has to repeatedly look at the solution and keep trying to do it on their own until they can do it without having to look. But in my opinion and experience, it is absolutely vital to have the solution to fall back on when you're studying. You just have to be damn consistent.
    4
  15040.  @TheMathSorcerer I did the same thing! Dropped the first class after the first test. The second time around I got a B too. That was enough for me.
    4
  15041. you explained this really well . Thank you very much! You just got a subscriber!
    4
  15042. Taking the Apostol series is what decided me to major in mathematics.
    4
  15043. ¡Nice video! ¡Hello from Mexico!
    4
  15044. It is really helpful
    4
  15045. Your vedios are always amazing Sir.Thank You.
    4
  15046. I took notes in class and from the book. It helped me to remember things. And except for my one friend who had a photographic memory, I usually had the highest grade in my classes. But it took a lot of work. In my experience, most of the people that didn't take notes didn't do as well. Kudos to the OP for being an outlier. But OP should understand that not everybody's wired the same way as he is. That's just my opinion, for what it's worth.
    4
  15047. Please make a separate video on recurrence relation Please sir
    4
  15048. ahh :O I've got an exam on Thursday, this video arrived on time :D
    4
  15049. Whats the best book for high school? Im assuming this book is for students at an undergraduate level
    4
  15050. I miss your teaching so much!!!!! On my last year of undergrad and you are the best professor I have ever had!!! Impacted my life in such a positive way
    4
  15051. If u could make a hoodie with some math equations or something I’d buy that in like an instant. Not a lot of ppl have good hoodies believe it or not.
    4
  15052. Very noice!
    4
  15053. I actually got a C- in calc 1 where we did disk and shell method so that's probably why Calc 2 - I got a B Calc 3 - was traumatic (W)(W)C Almost got restricted from taking Maths.
    4
  15054. Very helpful vid ty
    4
  15055. It's because they simply follow the idea of solving the following problem: minimize value of the number of things required to do things
    4
  15056. How do i know if i miss a step in the proof?
    4
  15057. guys, he s trying to trick us into learning math, be strong
    4
  15058. Learning to math books is like the first step in driving a car except it is much much harder.
    4
  15059. The math does not lie!
    4
  15060. Seems like a rare book.. not in any local library, university library or amazon canada...
    4
  15061. My "Strengths of Materials" is exactly what I was reminded of looking at those questions. It was 36 years ago and I think I might have failed that course (before dropping out and coming back to do comp sci a couple years later), but I remember it well.
    4
  15062. Success = Talent * Grind^Focus + Random Events. Grind and Focus are in one's control.
    4
  15063. glad to hear you are a Nas fan ha
    4
  15064. Math really makes you think so much more that liberal arts courses.
    4
  15065. As a brazilian, your academic life depend more on public investiment on research than over your age.
    4
  15066. there are 0/0 reasons why
    4
  15067. I'm taking a 5 week calc II summer session and I feel all of this, especially 2:30
    4
  15068. Explain image of a subset of domain under function
    4
  15069. First
    4
  15070. In the early 60’s I started reading ‘Scientific American’ in the school library because of Martin Gardner’s column, then becoming a lifelong subscriber to ‘SciAm’.
    4
  15071. It's important to study the history of one's field: knowing the struggles of those who preceeded you. Get your ego out of the way: when Maxwell was my age, he'd been dead for 12 years!
    4
  15072. how old is he look at these guns and white hair
    4
  15073. YOu might want to contact the Internet Archive to see if they'd like to add the book (digitally) so others could enjoy it.
    4
  15074. 2nd year Electrical Engineer here and yes this video is absolutely correct.
    4
  15075. Sometimes I feel I have people like you as my teachers. 2020 has been hard in this new school. And I have a year for applying to college.
    4
  15076. Very nice Sir
    4
  15077. As a new guy to proof writing what I've noticed is that they don't assume anything is common knowledge. In a casual conversation we often omit details we assume the listener already knows.
    4
  15078. i love u
    4
  15079. You have no idea how much your inspirational videos are helping me push through the semester
    4
  15080. here in Brazil we also have very difficult admission tests for the 2 best engineering institutes in the country called "IME" and "ITA"
    4
  15081. At 1.30 am you really saved my night! Thank you so much!
    4
  15082. I've always hated grading curves versus a point system. If everyone does well, a curve would still fail almost half of them.
    4
  15083. ❤❤❤❤
    4
  15084. First: I'm posting under my real name, so you can verify (e.g. via my LinkedIn profile), that all informations regarding my education and employment are correct. I also had the dream landing a permanent job in academia (in my case, in theoretical physics) in my early 20s. At the time, I had learned a trade but was very unsatisfied with my job and I self studied physics and math in my spare time. So, finally, I entered university at the age of 25 and did my undergrad degree in physics. I was not top of class, but I did reasonably well and started graduate school afterwards. However, although I got my PhD in theoretical pyhsics, I realized during my time as a graduate student, that research and academia are not for me. All that stuff you're supposed to do as postdoc like writing huge amounts of papers, attending conferences, writing grant proposals, ... I realized, that was not what I wanted to do for the rest of my life. Furthermore, although being a quite decent probleme solver, I really had a hard time coming up with new an original research ideas. However, I had the oppurtunity to work as teaching assistant during my time as a graduate student and I realized, that I like teaching very much, and so I kept looking for opportunities to shift my career in that direction. When my contract at university ended, I had to get a job really quickly, and found something as a software engineer. That was interesting, but not my dream job - so I kept looking for opportunities to get into teaching. That needed some patience (almost 3 years), but when that opportunity finally knocked at my door, I didn't hesitate a second, quit my job in industry and started as part-time math teacher in secondary education, while simultaneously attending university again to obtain my teaching degree in physics and math. Doing so, was one of the best decisions of my life! After I got my teaching degree, I was employed full-time by my school, and I'm still working there. I still think, that my job as math teacher is awesome, and the most satisfactory part of it is, that I can use my knowledge to help other people achieving their goals🙂 So, although circumstances changed at the time I got my PhD, I kept thinking of other opportunities - and my decision to get into teaching was truly one of my better ones 😉 I hope, this can serve as a motivation to consider other opportunities in life - maybe these turn out to be much better than what you dreamt of in the first place. As Math Sorcerer would say: Take care! 🙂
    4
  15085. Thank you so much! Keep working your magic, sir🤗
    4
  15086. This made me think of buying it just to solve those problems 😅
    4
  15087. I always write Ex Libris and then my name in my books. I plan to get bookplates with my name soon.
    4
  15088. Wow this makes so much sense. :)
    4
  15089. Thank you very much it was so easy to understand
    4
  15090. When I first started, I couldn't understand how (2mn+m+n) could just be written off as k. It turns out the reason you can do that is because earlier we designated m and n as any integer. So, it doesn't matter what (2mn+m+n) results in. This meant that it can take the form of k giving us 2k+1.
    4
  15091. Thank You, Sir Issac Newton.
    4
  15092. Woaw I have been struggling 😩. You are a genius. Thanks sir
    4
  15093. Just wanted to thank you for these videos. Im taking Calc 3 after a 9 year break and these videos have helped with my approach to studying.
    4
  15094. What was the binding like? I've bought some Springer Math texts from Amazon and the binding was so poor that the glue hadn't cured properly!
    4
  15095. My man do some linear algebra proofs!
    4
  15096. I'm really excited about the advanced math we have in our high school, we have Calculus I-III, Linear Algebra, and Statistics. Also, we have kinematics and electrodynamics for advanced physics. (Which I also want to do)
    4
  15097. I'm still in pre-Calculus self study and the proudest thing is that I'm starting to appreciate the rigor and why some things that are seemingly minor actually aren't minor at all. This is all thanks to good books that I have (they are intended for math schools).
    4
  15098. It'll change your mind in unimaginable ways. Give it a second chance, and start slowly!
    4
  15099. I couldn't agree more! I HATE word problems.
    4
  15100. Thank you.
    4
  15101. Bruh! There's a bird on your shoulder!
    4
  15102. wowie zowie
    4
  15103. I believe that Lang's graduate algebra book, like his other books written at the graduate level (e.g. Differential Geometry, etc.) don't have answers or hints for problems. This is true in general for other authors of graduate books. Although universities may, for grading purposes or to develop the mathematical intuition of their graduate students, encourage this practice, I think it should be left upto the student whether to peek at the answer. I have found that finding the answer can correct a general misunderstanding of a concept or a calculational technique and is an important teaching tool. I wanted to make an unrelated comment on something I just (duh moment) realised. When self studying a math, physics or other topic, it often helps to have an early edition of a textbook. It may have more typos and even occasionally major error, but the presentation is often simpler and briefer and makes the task at hand much less daunting. It's like hiking. If you look too much at the steep trail ahead, it can be very discouraging and make you want to quit. If you can hike with someone else, you can be pleasantly distracted and not think about what you can't do. That's why working with others, in graduate school, but if possible also while self studying, the task of learning is made much easier. Please excuse my worldliness, but its good for me at my advanced age to express myself.
    4
  15104. Thank you for your wisdom! Math Sorcerer
    4
  15105. thank you. I needed the refresh for my system dynamics class
    4
  15106. I don't have determination, you have determination! I'm not crying, you're crying!
    4
  15107. I have both the Sullivan and McMullen trig books in my home math library, Math Sorcerer!!! 😉😉
    4
  15108. The other day I was as at the gym warming up on a treadmill. A couple gym employees (both are early 20s im sure) were at the nearby front desk having a conversation and I believe one of them said: "I never got through algebra". My guess is they were talking about stuff from highschool. I smiled to myself while reflecting on how I do algebra every day at my tutoring job, and sometimes for fun. I went to college to learn higher math. I spent most of my 20s helping kids learn math. I'm trying to become an Actuary, but for now I'm using my spirit to change negative opinions on math into positive ones. People have no idea about the sort of inner peace one can experience from frequently meditating on new math concepts. And the joys that come from finding random real world applications for them.
    4
  15109. You're channeling Sheldon Axler in this video...
    4
  15110. Oooo
    4
  15111. One cool thing about the working world is you can “cheat” by academic standards. Engineer forgets the formula? They can look it up! Exam culture was a consequence of pre-digital technology. It may have worked well then, but there are so many better ways to test students more practically. Exams also give those who are good at them an edge. We always talk about how people who aren’t good at exams do worse. But isn’t the other side of that just as bad from an academic perspective?
    4
  15112. If I had to rank schools by difficulty I would say medical school first, followed by math school and physics. The rest of the sciences are much more behind. I am a PhD chemist and I had plenty of friends in math school. The issue I had problem with was how abstract many notions are and difficult to grasp and understand. It’s not 1+1=2 , you have theorems and logic that if your mind is not trained to follow you will be so lost. Of course you can say that for many other principles but math and physics will be on top for me
    4
  15113. 0:20-0:23, i need to get my mind out of the gutter. I know 😇
    4
  15114. Scientist from 1600's.....
    4
  15115. Morning math is best
    4
  15116. Sir please do one for physists
    4
  15117. Thank you for the tips! Once again you prove to be the most helpful and informative math channel out there! I share your videos with my friends whenever I the chance.
    4
  15118. You are ver inspiring thank you!
    4
  15119. Thank you for solving a problem. I just found it funny how you used 2 full pages to complete 1 question and then cut back to showing the book that is called Basic Mathematics xD I loved math when I was a kid, even throughout most of high school..... but I went through a tough time (depression due to a heart problem) in my last 2 years of high school. I stopped doing my homework and just didn't care about anything. My math teacher was one of few who noticed my grades slipping. I just passed it off as me just not paying attention but It was a real focusing problem that I just couldn't control. I passed the class with a D+, just did the bare minimum to not fail the class. I just vaguely remember always feeling distracted all the time, even got called by my teacher during class and didn't realize I had been called to answer the question on the board.... 3 times, but I'd always play it off as me thinking they were talking to the other person with the same name as me.... It was pretty bad (depression), I just never told anyone due to not wanting pity. Never went to college after graduating. Don't regret not going, especially me remembering how bad my focusing was during those times... but now I'm really wanting to start going to college. I never got help but I did get better on my own, It just felt like it was a very long "thought" that lasted for years. I don't regret not getting help, it wasn't even something I thought I could get. just felt hopeless and had no idea I could even get help. A bit ago, I started walking a mile a day, slowly turning it into, several miles a day, and now I'm walking 10 miles a day. I have made this daily a walk a necessary constant that I need in my life. My cousin had a kid and he introduced me to her and wow have I never been happier to be alive. Finally feels refreshing in my head to be able to focus again. I commented this because I've been watching your vids for quite some time and truly appreciate the effort you put into teaching. Thanks again for showing us how to improve on our math.
    4
  15120. Is there a good solutions manual to go with that abstract algebra book?
    4
  15121. At least, with one video, I can say that you are a great man, a great teacher, mathematician and a good friend :) I will stay here while you make your journey through the world of the YouTube.
    4
  15122. What is your favorite pizza?
    4
  15123. Please do more book reviews, Dover, and other popular math publishers.
    4
  15124. Thanks for a great video! I have a question according limit in multivariable. Is it a way to show that a limit doesn't exist with epsilon-delta method? =)
    4
  15125. That's very true. Just conversing with fellow students from your math class by sharing notes, ideas and inputs about the subject is the best investment of your time. It also counts as study time and is even better than studying alone as your brain is more engaged and more likely to consume the information.
    4
  15126. I wish I had a job so I could afford to have as many books as you have.
    4
  15127. My kids have several of these books. They love them
    4
  15128. Congratulations
    4
  15129. Bro Podrás hacer un Review completo de Higher Algebra by Barnard Child y Higher Algebra by Hall and Knight
    4
  15130. buenisma idea, gracias!
    4
  15131. I wish i knew about this channel while I was in college lol I woulda aced all my exams
    4
  15132. 70 here. That youngster will do just fine if he keeps his nose to the grindstone , and he asked the right professor. Math today is different from the way they taught us "back then." Believe it or not, in the stone ages, we didn't have calculators. Though I'm learning from books and YouTube videos, I've noticed ALL the college math classes here in Wichita require students to furnish their own TI-84 Plus CE calculators. Also most math books beyond Algebra I and some basic geometry books are written to teach students to use calculators. Now THAT'S something I'd like you to address: which calculator to buy, why, and how to get used to using it. 😎
    4
  15133. I think this book seems to be very famous. I also studied this Bartle book because of text book in my college.
    4
  15134. as a quick math learner i can say i started learning math that fast when i started to think thats funny
    4
  15135. Sold. I have the book on order now. It was here that I got curious about discrete mathematics.
    4
  15136. Clear and precise. From France !
    4
  15137. It would be wonderful if you make video course on analysis 1.
    4
  15138. You are truly the math sorcerer
    4
  15139. i love that i actually dont get bored reviewing this and i can just follow along easily
    4
  15140. Hello sir, are there any math topics you’d like get better at or relearn? It’s definitely challenging to remember every math topics.
    4
  15141. I've always found your videos really helpful. There's something I'd like your input on. How important is it to learn the series solutions of differential equations? Would it be enough to gain an understanding of the other methods of solving DEs or should I put in the effort into learning the series solutions as well?
    4
  15142. Haven't laughed this hard in a while!
    4
  15143. ah, the memories i have from spending hours in the college libraries (in the 80s) with these 'ancient' math, physics and engineering books ... sniffing them ;-)
    4
  15144. that's kinda sus
    4
  15145. What a marvelous video!!...it made my day. I just loved it, thanks to shared!
    4
  15146. Lol , I just started studying Sequences and Series
    4
  15147. If you can write multistep proofs with relative ease then precalc should be no sweat. Best of luck to you and I hope you continue with your math education!
    4
  15148. Honestly, I dont like it, I prefer pugh's book
    4
  15149. For most of my math courses I had to repeat them before I really got it.
    4
  15150. When the impostor is sus
    4
  15151. You should try your hand at book repair as you have some in need of fixing. If successful, you can show the before and after along with the affiliate link for a book binding and repair kit.
    4
  15152. I’m a business major but for some reason I love watching all of his videos
    4
  15153. Merry Christmas to All! Looks like an interesting book, MS.
    4
  15154. I think the more “advanced “ the topic gets the less marginal utility.
    4
  15155. hey @The Math Sorcerer do you have a similar video on calculus two or can you please make one?
    4
  15156. Trigonometry and the problems of it are awesome. Perfect to solve with a glass of hot wine or hot coffee.
    4
  15157. God bless you..... thanks a lot
    4
  15158. This is very rigorous explanation 💯. Thank you
    4
  15159. I am now reading the book you recommended sir. It's really a very good book.
    4
  15160. Suppose you don't know the tip and calculate Yp(first derivative)=A,and second derivative will give you 0 ,plug in to initial diff equesion and you get A=-10x suddenly you realize that missing the x term on the left side !!!! So you have to modify the initial polynomial by multiplying by x !!!!! Finally i get the trick!!!!
    4
  15161. I lost my dragon book 2 years ago when moving to my present house.😒
    4
  15162. Happy New Year
    4
  15163. as a physics student i am not familiar with homework like theorem proofing so thanks a lot!!
    4
  15164. I bought several books on Differential Geometry to learn it on my own. [The Best] Elementary Differential Geometry, by Pressley Schaum's Differential Geometry. [Good but more difficult] Differential Geometry of Curves and Surfaces, do Carmo Differential Geometry and it's Applications, Oprea Differential Geometry, A Geometric Introduction, Henderson Differential Geometry of Curves and Surfaces, Banchoff & Lovett [Easy but not great coverage] Elementary Geometry of Differential Curves, An Undergraduate Introduction, Gibson Curved Spaces, from Classical Geometries to Elementary Differential Geometry, Wilson [I didn't get very far with these] A First Course in Geometric Topology and Differential Geometry, Bloch Discrete Differential Geometry, Bobenko Differential Geometry of Manifolds, Lovett [Has computer code] Modern Differential Geometry of Curves and Surfaces, Gray
    4
  15165. what if the given is 5x(2-7x)^4? same solution? thanks!
    4
  15166. Checked on Amazon. All four books for so little money :-) The colour gradient on the main title text of the cover for the Trig one, makes it look like it was published back in the day of the air-brush. But no. . . they're much younger than that :-)
    4
  15167. I have read real analysis from basics to slighty high level. Can i start reading further topics now? And if i can do this, then tell me first read topology or measure theory?
    4
  15168. Hi Johnathan! I just wanted to say that I’m in a similar situation. I am 18, I have 3 little brothers that are 1, 2 and 4 years old, parents that have their own businesses and work full time jobs. It is damn near impossible to study at my house before 9pm. I too am trying my best to find reliable spaces to study with no distractions. People might under estimate how hard that is. I wish you the best of luck with your studies😎.
    4
  15169.  @defunct1373  yes!!
    4
  15170. Everyone has their own path. Echoing the Math Sourcerer’s advice, at 19 you are still so young. But regardless, irrespective of age, if you want it, go for it. Also, self study shows that you are serious about the subject and that (and enjoying it) is the key to longevity. I decided I loved math many moons ago when I was an undergrad - finished Calc 3 over a summer my senior year. Little did I know that I would still be going decades later. The vast majority of the students in that class stopped there - they were 2-3 years younger than I was at the time, but in the end things have a way of evening out. Lastly, if it is something you have the financial ability to do, take the classes formally while still in school. If you can’t for other reasons no big deal, lots of wonderful places online to guide you, but if you aren’t due to insecurity about where you’d start, reconsider. Focus on you, and do what you enjoy - life is too short to worry about others’ progress. Best of luck and enjoy the journey.
    4
  15171. Great
    4
  15172. hi , can you suggest me beginner math book i love to start my journey but i don't know where to start math can you help me ?
    4
  15173. Within the books he showed, the one by Spivak is perhaps the most rigorous. He reviewed it before (https://youtu.be/huSD6GysL6k). The normal problems in this book are like the hardest problems in the other books. Writing is really excellent too.
    4
  15174. you look like jeff bezos but with hair 😅
    4
  15175. 5- I love math so much I don't want to disrespect it 🥲
    4
  15176. Analysis by its History - Harrier and Wanner, for those who enjoy history and exposition along with the material
    4
  15177. This was SO helpful. Thank you!! You made everything so clear and easy to understand.
    4
  15178. This video was so helpful...Mucho grasias
    4
  15179. Hi janet👋☺
    4
  15180. I wish channels like yours existed when I was choosing my major! I chose something I didn't enjoy and now need to live with the thought that I wasted 6 years of my life.
    4
  15181. A very nice video with a beautiful message. Today, I enrolled for my maths major, which starts in just a couple of few weeks. Best regards from Germany :D
    4
  15182. Weird, my copy of rudin looks way thinner than yours
    4
  15183. Always take the paper clips out of books! Use bookmarks or sticky flags instead!
    4
  15184. Thank you.
    4
  15185. With 1 minute i am seeing it, so fastest video received by me I guess?
    4
  15186. Very helpful video. Thank you. Now I am ready for my test tomorrow😊
    4
  15187. A crazy amazing funny talented teacher you are ❤️♥️♥️♥️😍
    4
  15188.  @pinklady7184  oh luckily for me it was a guy in the class! We did have a professor in our physics dept get fired last year for muttering "this is why girls shouldnt be in engineering" to a student's question so that sort of thing still happens for sure. I've just been fortunate in avoiding it personally
    4
  15189. Kimberly W, wow, I wonder why professor said that and what provoked him. I love to know all sides of the story, before I can judge him. He should have been chastised instead of being fired for having said something sexist. Professors make mistakes sometimes. Goodness knows, he might have been one of the best professors. Professors as gifted teachers are difficult to come by.
    4
  15190. Another good book for a great roadmap is the Princeton Companion to Mathematics
    4
  15191. Wow Sir ! Thanks for sharing.
    4
  15192. Love your videos professor 😍 I joined your channel membership today itself and i got many perks
    4
  15193. Someone is sus
    4
  15194. I got bamboozled at first lol Always good to go back to basics, helps keep one's feet on the ground
    4
  15195. I'm in love with your channel. Recently I've realised the importance in learning math for professional e personal reasons, and although I'm struggling a lot, I'm in love with it. Your channel is incredible and inspires me to try more and more everyday. Thanks!
    4
  15196. To me it all depends on what part s of mathematics you're exposed ( time and concept s ) to first .This might not be the best analogy,, and I humbly accept any criticism. My grade schools ( K to 12th ) ,mathematics was just taught as just procedure ( mechanical), without thought of why im doing it this way ? ,no mention logic and proof. If you saw a mathematical problem, just apply mathematical techniques to solve the problem .But , later in higher mathematics where logic and proofs are needed, problems arise .So my analogy is like a tree .I'm taught leaves are part of a tree .But I'm not taught why leaved are important to a tree .The proving why leaves are important to a tree is missing .Some of my colleagues could do a difficult calculus problem with learned repetitive procedure, a mechanical flow .But,they can't prove the steps they just did nor explain what's going on as they do their mechanical steps. I believe that logic math should be taught along with beginning math to help later with advanced courses. Thank you
    4
  15197. You're right. Logic becoming second nature to you is very powerful and not only helps in math but in all other disciplines as well as in life in general.
    4
  15198. it took me a year to understand Russell Paradox
    4
  15199. Learning math as a Bio major. Using every resource I can, khan academy, YouTube, books. Very hard to self study, take a lot of discipline. But that means I go at my own pace. Less stress and I enjoy it.
    4
  15200. You could almost generalize this to say that the hardest math class people will take is the last one. For business majors, that would be probably applied calculus. For social science/humanities/education majors, that would probably be college algebra. For the people who didn’t go to college, it is probably high school algebra. I’d say if your hardest math class was something beyond Calculus I, you are in a (relatively) small group.
    4
  15201. The 13 year old indian kids IIT test is wayy harder
    4
  15202. Almost every calculus book covers the same topics. If your about to take calculus, then you could pick up any calc book and start reading before class.
    4
  15203. I am 60 ,
    4
  15204. Congrats!
    4
  15205. Yes you are right. Also the universe would be boring if it wasn't for math.
    4
  15206. Thank you sir !💕
    4
  15207. Great!!!
    4
  15208. One thing that I think we should take away from this is that many students would do well to examine several books on the topic, flip through, read a bit and see which appear to most complement their style of study and their level of understanding. Having more than one book is almost always advantageous.
    4
  15209. That first example easy?!! OK this book is obviously way above my meagre knowledge of the beautiful subject. As someone who has tried to learn maths from text books over the years, I can see that this book canes most UK/US books. The reason for this is 1. Loads of examples and 2 something I think is really important but totally neglected in western textbooks, it has answers to all the problems. Most US books have answers to odd numbered problems (very annoying for self learners). Many UK books did the same or didn't have answers at all in the early days. What's needed is fully worked solutions to all problems. Why oh why can't you get this, even as a separate book that would brilliant. Some of the US books have this but only to odd numbered problems. Mmm.
    4
  15210. Awesome video! I made index cards too but they never would shuffle like playing cards so I got annoyed and threw them all in a box.
    4
  15211. This was an absolute lifesaver. Thanks so much
    4
  15212. Wow, what a beautifully written chapter
    4
  15213. Super simple and straight to the point. Thank you so much!
    4
  15214. Thank you so much! 🖤
    4
  15215. I can see why it looks so clean…
    4
  15216. Joy of learning keeps me motivated. When you form a habit, it becomes a habit.
    4
  15217. Springer publishes a revised edition of this book under the new title "Undergraduate Analysis." Do you own a copy of Lang's Analysis II? Other good analysis books are Stromberg's An Introduction to Classical Real Analysis, Apostol's Mathematical Analysis, Ross's Elementary Analysis, Bartle's The Elements of Real Analysis.
    4
  15218. Your videos really help me in understanding the calculus .You are living legend
    4
  15219. It seems that the differebtial equations course of MSU's physical faculty hasn't changed a lot since then.
    4
  15220. This is the video I wish I had seen last year😭
    4
  15221. (e=0)*0 --> (0=0)+e ---> (e=e). ( (a=b)*c shorthand for (a*c=b*c). ) Joke but not to say necessarily invalid if it somehow isnt.
    4
  15222. Thank you very much sir... Love from India...😍
    4
  15223. "Mathematics professors do not want students to know this one amazing trick."
    4
  15224. Nice scam😁
    4
  15225. As a random question, how old are ya? I’m 25 and will be taking a similar path as you. I’m currently studying some Fourier Analysis and Field Theory, and want to work my way into studying algebraic geometry.
    4
  15226. "I hope that made sense" --- Yes, thanks to you!
    4
  15227. I love this channel. You've inspired me to study mathematics on my own. Yesterday, I was happy because I managed to answer some questions that I thought I would never be able to.
    4
  15228. A great video, thanks for sharing
    4
  15229. Is this the text you based your Udemy calculus courses on?
    4
  15230. Love your videos❤
    4
  15231. Sir can upload video for numerical analysis books and how to approach it. Humble request sir
    4
  15232. Test seems really reasonable. Not too hard, not too easy, and not too long. When I was taking calculus, the related rate problems used to get me. I remember one about a cone shaped tank with water being poured in. Couldn't figure it out. After the test I asked a classmate how he worked it out. He just said, "Simular triangles". Could have kicked myself! Duh!
    4
  15233. very true. if you decide something and pick a direction, you may or may not pass the test, but going in circles you're going to fail every test, so we see that → > O, or direction > circles. This is ESPECIALLY the case if you're taking accelerated classes. In fact, as soon as you hear "accelerated," run if it's a math or engineering class. Maybe some can speed through it, but I doubt the average person would survive. I know I'm not.
    4
  15234. Failure is the greater part of success. Not sure how to attribute that to. But I believe that, and notebooks filled with work make those moments of success that much more special.
    4
  15235. There is no such limit to learning.
    4
  15236. Thanks a lot!
    4
  15237. Simple example, I restrict myself to one branch. i^i = e^i log(i) = e^ i log(e(i Pi/2) = e^i (i Pi/2) = e^(-1) Pi/2 = e^(-Pi/2) In general, this example above shows the 'trick'. Rewrite a + b i and c + d i in their polar form, and then rewrite back. You then get: (a + bi)^(c + d i) =(a^2 + b^2)^( c/2) e^(-d arg( a + b i)) [cos(c arg(a + b i) + 1/2 d log(a^2 + b^2)) + i sin(c arg(a + b i) + 1/2 d log(a^2 + b^2]) ) ] Quite a mess!
    4
  15238. Your pronunciation of the publisher should be as the space station, Mir, was pronounced, not following English language pronunciation methodology.
    4
  15239. In my opinion, breaking down things and justifying all your steps (again, breaking it down as simply as you can) helps tremendously! Like just thinking about what everything means clearly, why so and so works, what the answer means, etc., really helps a ton when it comes to understanding everything.
    4
  15240. Again, most people don't flunk trig because of trig but because they didn't learn Algebra, maybe you should stress Algebra skills as # 1 problem?
    4
  15241. Wise words to live by 🎗️
    4
  15242. Love your channel ❤❤❤🧚‍♀️
    4
  15243. I wish I had a professor like you. Mine are all boring and are terrible at explaining things :(
    4
  15244. Sir, I can relate all of your single word.
    4
  15245. Skipping and coming back later helps a lot. Very good advice.
    4
  15246. Seems like a fairly standard navy exam. They LOVE giving directions like that for ALL their exams.They particularly get off on cramming 2 years of university level math into 8 or 12 weeks of technical training. Everything is route memorization & acronyms
    4
  15247. Thank you for this!!!!!!! king
    4
  15248. Please give some advice about some higher level mathematics that a high school student can learn by self study along with his high school maths... It is necessary.
    4
  15249. My goal is to be first comment. Yay! I did it XD
    4
  15250. I am assuming it's the same for math minors
    4
  15251. Love this - switching up the domain a bit!
    4
  15252. The best book for learning calculus is the one you have! (Except for where your course requires something different)
    4
  15253. I got my copy of that Halmos linear algebra in a second hand bookstore in Bariloche, Argentina. To my surprise it came with a FORTRAN punch card!...I presume that the previous owner used it as bookmark :)
    4
  15254. You explain this so clearly compared to my Discrete Textbook thank you!
    4
  15255. this was a great help, thank you :)
    4
  15256. I have book math one thicker than this it has more than 1500 pages ! It's so thick I barely can handle it . It is a calculus book
    4
  15257. Super sir 🙏
    4
  15258. thank you for making all of your videos!
    4
  15259. I'm trying to incorporate this with my kids AND myself. I am mathphobe. Past extremely negativr experiences with math homework at home has led to a lifetime of fight or flight impulses everyone I'm confronted with math problems. Videos like this are helping me rewire my brain and reactions and I'm so grateful.
    4
  15260. My brain has a delta epsilon dead zone... 🤯🤯🤯
    4
  15261. When I learned calculus at community college, we used Stewart's Early Transcendentals. However, I had one professor who constantly pull practice problems from Thomas Calculus, as it provided more unique problems and more challenging problems than what Stewart's provided.
    4
  15262. Just got a 55% on my first exam in my introduction to proofs course. This helps : )
    4
  15263. thank u i was ´bout to drop on differential equations
    4
  15264. Sounds like fun. I've been working with Java language to manipulate 3D objects. What language are you using?
    4
  15265. Concise and helpful thank you!!
    4
  15266. You mentioned the smell of the book multiple times. Believe it or not, that is the most important thing for a Calculus book. Everything else is either secondary or not important at all. As any real mathematician will tell you, most of Calculus learning is done through the sense of smell.
    4
  15267. Probably not your niche but i would like a video on book recommendations for marketing and especially digital marketing. Btw love your channel, you have inspired me to learn a lot of new stuff!!
    4
  15268. bro I watched 5 videos of yours and they literally changed my points of view, and I'm not even into math, my field is psychology
    4
  15269. If weak at math get a tutor, I needed one for Calculus.
    4
  15270. You are amazing.
    4
  15271. your videos made topology easy!! thanks
    4
  15272. My older brother used Serge Lang's Multivariable Calculus Book back when he was in school. He liked it; he told me it was clear and compact in the way it explained things.
    4
  15273. Thank you from Russia!
    4
  15274. Best comedy video so far! Love it!
    4
  15275. 22:35 LMAO
    4
  15276. I just checked the link to Amazon. I ordered an acceptable used copy for...$1.37, plus $3.98 shipping. Great bargain for sounds like a really good self-study text.
    4
  15277. Well lucky for me The Math Sorcerer has an Advanced Calculus playlist!! 😁...thank you for sharing your knowledge and passion for math.
    4
  15278. One like for adding " Fancy " to math books. Cool. 🙏😂
    4
  15279. Excelente video amigo
    4
  15280. Thank you for the informative and motivational video- I'd also recommend Barbara Oakely's books- one I discovered in a library, a mind for numbers, its a good book, not only if you are struggling to find a good study process, that works for you. Also there's Jordan Peterson's essay guide.
    4
  15281. Love the integration videos and how you break them down step-by-step.
    4
  15282. Thanks for helping sir
    4
  15283. After 5 years of study this book, after I had finish my grade I have do 70% the problems by my own … some of they with (**) . I bealive that limit is not have a Good explain in this book, foy my, in the text Calculus advanced by Watson Fulks is the best explaining of what is a limit… I still study the text Watson Fulks, his problems are very much hard tan the problems in Calculus by Spivak. If you think problems spivak are hard, the ones by Fulks are uffffffffff. Saludos desde Chile.
    4
  15284. Is your calc 1 course suitable for beginning calculus or do you have another course for beginners calculus ? Many thanks.
    4
  15285. Gracias uwu <3
    4
  15286. TOTALLY AGREE!
    4
  15287. I wanted to read functional analysis by Walter Rudin. Do you recommend this over that book? Thanks for any comment ^_^!
    4
  15288. Valuable advice sir much needed : )
    4
  15289. Maybe try reducing the number of subjects that you are self studying. It sounds good to self study physics, math, chemistry, and biology simultaneously, but personally I do not think it’s a good idea. Each of these subjects have an immense amount of depth and breadth to them, trying to INTRODUCE all of these simultaneously will leave you feeling like a student of many, but a master of none. Try sticking to 2 subjects initially (math should be one of them) and continue to self teach these subjects for a period of time. Once you start taking courses at uni you will have instructors with experience who can guide you, so learning more subjects simultaneously will not be as rough.
    4
  15290. It was not near as advanced as this by any stretch of the imagination but I did end up using a 1950s book in Grade 10 to aid me with some trigonometry. I still used the calculator of course but I used a table that had sine, cosine, and tangent listed so I was able to use just a basic 4 function calculator to perform the required calculations.
    4
  15291. How YouTube knows what I'm thinking in my mind. I am a literature student I am poor at math. So I decided to study school books. Then came this recommendations..
    4
  15292. I quit math because--yes--it was too much hard work. And I just had no passion for it. I'm a humanities guy and I did work hard at that. Still glad I took the STEM I did. Trained my mind, and I have a solid understanding of science
    4
  15293. You are best teacher from India 🫶❣️
    4
  15294. Thank you from India
    4
  15295. "The End of world" this line got me LOL😂
    4
  15296. Great job man appreciate it
    4
  15297. You could have a strategy like this and in a bull run and think you are genius. Try doing this in a bear market and see how good your model is.
    4
  15298. Ok....good to know you are only human after all 🙂
    4
  15299. I used to have a restricted view on maths but watching videos about maths from youtubers like you helped me to open my eyes. Plus, I want to further my studies in Physics and those two can't be seperated.
    4
  15300. super helpful thank you
    4
  15301. i think 8 or 9
    4
  15302. Here in delhi there is a market called new street we buy all the expensive expensive books at very affordable prices. Btw sir how much math should I know to get me through my electrical engineering . Love what you do 😊
    4
  15303. ty
    4
  15304. Actually just started my first semester in undergrad physics and the struggle is to convert real life problems to algebraic equations. Its strange how I can deal with pure math equations but deriving equations from nature seems hard.
    4
  15305. Great video.
    4
  15306. Medicine seems like a duty I must do, math is a need for a very unique part of physics which is a pathway for my purpose of living... My plan is to focus on the aspect of math needed for the hypothesis and to just brush on other essential aspects.
    4
  15307. Omg, I just got my grade for ordinary differential equations, and my A is all thanks to you. Awesome educator, loved your series and your advice! Wish I had you as my prof. Ready to take on more math now!
    4
  15308. When you discussed the "discrete probability" chapter, you mistakenly kept saying "w" instead of "omega." Look closely at the character used and you'll see a lower case omega. Very interesting book review though!
    4
  15309. Thank you professor :)
    4
  15310. Can you make one for discrete math? I kinda like the subject but our teacher is a pure bummer
    4
  15311. Thanks those are wise words
    4
  15312. Can you borrow these books 📚 from your local library 📚? I’m really interested in these books 📕
    4
  15313. Used this for stats 1 and stats 2
    4
  15314. Lol why was this in my recommended
    4
  15315. Currently havea 4.0. my GPA is about to crash because im taking an 8 week Calc 1 course then a Calc 2 the following 8 weeks. Never took Algebra 2 nor Pre calc, idk why I signed up for this challenge. Who tryna tutor me? comment below
    4
  15316. intresting!! i am in my last term/semester in mathematics at the university in germany. the ratio is ~ 60% to 40% of boys and girls.. :D
    4
  15317. Thank you
    4
  15318. Wow! You made this so much fun and easy to understand!
    4
  15319. In 2 hundred years, math teacher's all around the world will be talking about the clever shortcut to these types of limit problems: "Sarah's way".
    4
  15320. Can you review precalculus by blitzer?
    4
  15321. Muchas Gracias, Excelente video
    4
  15322. thanks you from france 👍
    4
  15323. Don’t waste time should be the first thing you learn as a kid.
    4
  15324. would you recommend books for 16 years old please?🥺🥺
    4
  15325. Well done...! 👍
    4
  15326. One interesting way to motivate mathematical ideas is to read parts of mathematical references, companions, and one-volume encyclopedias. They vary in expository details, but can be quite diverting in their presentation. For example, the VNR Concise Encyclopedia of Mathematics is a copiously colorized overview of hundreds of topics divided into 46 sections. I look forward to your reviews of this and other wonderful troves of mathematical topics inviting further exploration.
    4
  15327.  @TheMathSorcerer  for sure, it made me laugh so hard!!! Legend
    4
  15328. I love you
    4
  15329. you're a genius ty
    4
  15330. Newton in T-shirt
    4
  15331. When you self-study you can focus just on learning at your own pace. When you spend extra time on a math concept you will discover something new each time such as different ways to work a particular problem. More importantly, self-study allows for curiosity and experimentation because you have time to think and ask why.
    4
  15332. Curiosity. Have you ever made a video on how to improve in math competitions? I’m in college now but if I had known about it in high school, I would have studied it more. It would help young middle school or high school kids in math counts or prepare them for AMC12 or USAMO.
    4
  15333. Is it ok to look at the solution
    4
  15334. Is it ok to look at the solution when I am not able to solve the problem
    4
  15335. Hehe. His hair looks like a mop.
    4
  15336. Exactly what I needed!! Thank u for posting!
    4
  15337. i'm brazilian, and i think that your videos are so good to improve the listening.
    4
  15338. You’re the best bro.
    4
  15339. Video is odd for me. I am aware there are lots of videos addressing this question but I knew from the earliest memory that I wanted to do Maths/CS/EC. Is there still a trend that people join university without proper decision? @2020
    4
  15340. Hi love your vids!!! I think its time for Learn Mathematics from START to FINISH 3rd edition tho
    4
  15341. (xcosx)/sinxをx/sinx×cosxに分解した方が速い。
    4
  15342. I’m so thankful for these lecture videos. They’re explained so much better than my professors. I’m actually starting to understand calculus! Thank you so much!
    4
  15343. When I want to review books, I just borrow them digitally at Open Library. If I like them, I'd order them from bookstores.
    4
  15344. excelente!
    4
  15345. May I ask is the ai you use for your images?
    4
  15346. What are some pre-req's you recommend before jumping into Discrete Math? Was looking into going back to school soon and have been out of Math for 5-8+ years depending on the course, and looking to re-learn things I need to as I see Discrete Math is one of the first courses in the curriculum.
    4
  15347.  @TheMathSorcerer  Appreciate the reply, never took Calc 2, and has definitely don't remember most algebra, trig, calc, but will try this out probably!
    4
  15348. My friend you are the undisputed GOAT of math book reviews. Bravo!!!
    4
  15349. The math sorcerer talks about bodybuilding and math books for general public and now i feel so strong
    4
  15350. Thanks for the recommendation Mr. Sorcerer I will try find download PDF online. Im super interested in maths and seem pretty good at it even tho I wasn't good in highschool, I unfortunately had to drop out of university maths because of lack of services for students on the spectrum. But I want to continue learning at home. Thank you! It means a lot that you keep making this difficult but beautiful subject accessible to people with your videos and tips
    4
  15351. I agree with you on 6:45 The reasoning behind it is that in that time having a book count as luxury and there wasn't any place for mistakes and everything should be PERFECT. It's quite look like homemade and machinery food they both have good quality but the homemade is quite in a another dimension.
    4
  15352. Thanks for the recommendation. If possible, would you consider making a video of the Weierstrass Approximation Theorem used in this text? I've been reading it for two days now and can't seem to wrap my head around certain parts. I am attempting to understand their version of the proof using "elementary" mathematics as opposed to the constructive proof using Bernstein polynomials, which is also a doozy. It seems like it should be simple enough but there are some small details I just seem to be missing. I understand the proof of the lemmas and definitions required for the actual main proof itself.
    4
  15353. This is right on target! Your video is all about students taking ownership of the material.
    4
  15354. I am commenting because I feel bad there is not a single comment!!
    4
  15355. Very good video! Don't ever stop!
    4
  15356. I think it’s pronounced Meer.
    4
  15357. I'm 42 second year electrical engineering. Trust me, your maturity will go a long way, and you're there because you want to be so motivation is there too. If I can do it, you can too. I did a bridging maths course before 1st year then hit the ground running. Yes, the youngsters straight out of high school are sharper with certain things but you don't focus on that. Form friends and study with reliable students
    4
  15358. .....gotta keep moving....how else you gonna grow ?
    4
  15359. Please professor, do some book reviews for Math books for Elementary, middle and high school kids.
    4
  15360. Lol
    4
  15361. Don't feel bad about this comment. But I have noticed that the price of the books are getting over and over. This is something that really makes studying difficult.
    4
  15362. I've been studying too much pure math that I forgot about physics Physics is the reason I wanted to study math It's my main goal, not math Sure I want to be a mathematician too But my main goal is to be a theoretical physicist I've studied math for many days and I stopped studying physics Quite sad
    4
  15363. i just leave this comment to tell everyone that I'm gonna start my math sorcerer journey
    4
  15364. When I read your titles, I don't know if you want to motivate me or disappoint me. Pd: Sorry for the bad English.
    4
  15365. Your videos are awesome man!
    4
  15366. R.I.P alive ⚰️ after seeing those bundle of books in thumbnail
    4
  15367. You're a great teacher. I like specially trigonometry. Btw you have almost as many books of math as I have literature ones.
    4
  15368. This is me with algebra 1. Getting through it was hard because I really didn't understand it. It took me looking at youtube videos and websites just to get the hang of it. I'm happy because I thought I was the only one.
    4
  15369. great outfit !
    4
  15370. You are not just the best math teacher, but you are also the best psychologist! I needed to hear this! You are legend!
    4
  15371. Just finished “Forgotten Algebra,” getting started on “Precalc” by Sullivan😈
    4
  15372. Thank you so much for saving my life by explaining in such a nice way! May god bless you Sirr!!
    4
  15373. Are you still planning to make a video on a topic you do not know and show how you manage to learn it?
    4
  15374. My copy just arrived in the mail!!!
    4
  15375. Amazing video. Brings back memories. People seldom share their personal notes online, so this was something unique. Thank you :)
    4
  15376. Omg…. I’ve taken calc 3 and I had no idea it was that. AMAZING EXPLANATION in like 3 minutes!
    4
  15377. I learned math on my own for making creative projects. Applications first, find out what math I need to learn for my application later. Math is a broad and messy field so at least in my case and not for it’s own sake I needed that to know what to learn.
    4
  15378. The length of this video: 1, 1, 2, 3 ... The Math Sorcerer casts another spell upon us.
    4
  15379. Apropos the Pron: It's "Ree-man". "IE" - just like in "piece". A piece of Riemann. "Ry-man" would have the E before I. "Reiman". I can't think of an English word right now that has the EI pair. (If there is one, it's probably from German?). Zeitgeist? (Although the English version of that is painful to hear. :-) It's meant to sound like "Tsite-guy-st" but I think most people using it would say "Zzzite..." And they'd be rite, too. Because it's English, not German.)
    4
  15380.  @TheMathSorcerer  are you maths professor in any university...of USA ?? 🙄
    4
  15381. Hey just wanted to say I love your videos, math is amazing !!! <3
    4
  15382. Two plus two is four minus one that's three, QUICK MATHS!
    4
  15383. It is that you are having less likes and comments......but don't worry keep going ... you teach very welll❤......a learner from india 🇮🇳 ......just move forward
    4
  15384.  @TheMathSorcerer  I think you mean: 'Why do they eat human flesh?' XD... Eating human flesh and excrement are meant to prove that nothing is base. The Aghor gets the flesh from corpses floating down the river, which family members (of the dead person) push into the Ganges River if they don't have enough money for cremation. There are many other reasons on why, but honestly, they are too philosophical to digest, it's better to eat dead corpse yourself and experience it yourself. I gave it a shot, it was definitely awkward, and did not taste good, but it gave me a lot of positive energy the day after. Now whenever I think of that, I feel very weird XD (so basically it's not recommended eating corpses unless you want be an aghori), its a weird hindu phenomena.
    4
  15385. That's a nice timer.
    4
  15386. The Math sorcerer really looks like Albrecht Dürer, especially his hairs shimmering in the light
    4
  15387. It is trivial to see that going to college is good. QED.
    4
  15388. Where in the US is this? Hawaii?
    4
  15389. Do you think there is still a perfect chance for a forty year old man or women who is extremely enthusiastic to start learning advance math from scratch. Thank you kindly
    4
  15390. Between undergrad and medical school, I was a telemarketer too. Might I offer you some accidental death and dismemberment insurance?
    4
  15391. The celestial sphere part is so freaking cool
    4
  15392. The book is too expensive.
    4
  15393. Love the attitude! YOLO so press on & do it!
    4
  15394. What is Mathematics? An example of a love/hate relationship ... Thanks for the very useful channel ... Cheers! Christopher
    4
  15395. He's being very abusive with the math. Math should press charges
    4
  15396. Thanks, greetings from Honduras!❤️🌟
    4
  15397. This reminds me of Mendelson's Introduction to Topology, it is also a short little book (also Dover).
    4
  15398. Wow nice find!
    4
  15399. How are you holding the marker that way...
    4
  15400. 6:04 lmao
    4
  15401. That was the text for the first class I ever took at MIT - 6.001. I think MIT has moved on from Scheme in its intro computer science courses.
    4
  15402. I am really concerned about a differential equations exam. I've just taken it, and fucked up the conversion, devastated here.
    4
  15403. Thank you so much man!.... nicely explained. THAT'S really stupendous
    4
  15404. Thanks for support in these trying times
    4
  15405. Just caught in the moment. 😊
    4
  15406. Isn't the cross product of two parallel vectors 0 ?
    4
  15407. Hello math sorcerer, is it normal that in your calc 2 course on udemy you do not give assignments? I enjoyed evaluating my knowledge at the end of your lessons a lot, but this seems to be missing, take care :D
    4
  15408.  @TheMathSorcerer  Your course is already so good, you'd really make it perfect. Is there a vague estimate of when we can expect them?
    4
  15409. lifesaver. kudos to google as well for pointing me to the right video
    4
  15410.  @TheMathSorcerer  😐🤪Oh so you have a degree in maths on which your name is written "maths sorcerer" and when you are born your parent named you maths sorcerer😂🤯
    4
  15411. "Who grades the grader?"
    4
  15412. "It's a conceptual move, not an algebraic one." lmfao, this sums up most of my higher level math courses in college
    4
  15413. wonderful! thanks for the help!
    4
  15414. Thank you sir
    4
  15415. Video suggestion, overview videos to different branches of mathematics. Let's say topology, what is it about, it's different parts algebraic, differential and geometric topology. etc
    4
  15416. When you showed the problem, I paused the video, solved the problem in my notebook, then continued the video. The way you solved it was so different from the way I did. I kind of think my way was better. But I think you solved it how a math teacher would solve it.
    4
  15417. Your looking real good might have to change the channel name to the swole sorcerer
    4
  15418. 😮😮😮😮😮 "Basic Mathematics for Calculus" my textbook for "Elementary Functions" in the late 1980's the same edition! Hell it could be MY COPY!!!
    4
  15419.  @TheMathSorcerer  Ah, I see. So graduate schools are only organizational sub-structures rather than actual physically separate schools. That clears up a lot! I assume graduate schools then share many of the same personnel as the ones that do the undergraduate courses too? Like Prof. X does course A for undergrads and course B for graduate students but organizationally he is both teaching as a graduate school lecturer and as an "undergraduate school" lecturer?
    4
  15420. Good video. Attitude is a major part in math.
    4
  15421. If functional analysis lies in your future, Axler's "Linear Algebra Done Right" is a great way to go. When you start taking functional analysis -- having read Axler -- you'll immediately see how it's just a generalization of linear algebra.
    4
  15422. thicc
    4
  15423. This looks like a great book and just what I need to review my Calculus - which is a bit wobbly. Thanks for the tip! I will definitely try and get a copy :)
    4
  15424. Thank you for sharing. 😎 🔭
    4
  15425. thank you soo much! when you said "boom, we're doing calculus", I felt that :)
    4
  15426. Oh and, just in case you were considering doing one, I would love a video on branch cuts and points as I remember that being a particularly tricky concept.
    4
  15427. Ross's Probability text do require Calculus.
    4
  15428. why are you reflecting god rays.???
    4
  15429. Here is an odd observation : started reading this and decided I need to relearn linear algebra so I open a pdf copy from university library for Serge Lange "Introduction to Linear Algebra 2ed" I see one of the editors in K Ribet from Fermat last therom fame ...I start reading it then decide I need the book so I go find mine in a stack behind the couch ...2nd ed ...no Ken Ribet as editor ...I feel ripped off.
    4
  15430. astonished
    4
  15431. ❤❤❤❤
    4
  15432.  @TheMathSorcerer  oh sorry!!! I'm so silly🙃🙃
    4
  15433. thank youu
    4
  15434. To me it is geometry. Almost everything in maths happens in some kind of space. They tried logic, sets, numbers as foundations of all maths. I dont know why nobody tried geometry. Both algebra and calculus stem from it.
    4
  15435. 🇧🇷
    4
  15436. thank you sir
    4
  15437. Didn't you just do a video that proves that the square root of a prime is irrational? 😊
    4
  15438. This video is really simple, with a simple message, but it's really helpful and inspirational, thank you.
    4
  15439. I really wish i could reach out beyond my screen and give you a handshake 👏🏼thank you
    4
  15440. Check out the shadow depth of field. Upping the production value Wizard!
    4
  15441. thank you for the nth time sir !
    4
  15442. taylor and McLaurin series did it for me lol I was lost I just memorized everything
    4
  15443. Thank you, I found this so relate
    4
  15444. this randomly popped up on my recommended... i think this is a Sign
    4
  15445. When you do a PhD in theoretical physics and use maple to solve some model equations it usually spits out all those functions at once. ;)
    4
  15446. So I've now added two more books to my collection.......
    4
  15447. I have few questions, if you don’t mind answering… 1) what version of smoothdraw are you using ? 2) what is you canvas setup ? (I mean the size) If you have time show us the smoothdraw settings and how you record videos
    4
  15448. I always admired a people who was so special, clever at math or physics.Someone like a scientists.I dreamed so much about my own growing. But I had to go to work and made a money for a living at very young age. I was angry but now I am so strong and happy with my grow. Always I was at math very bad because I believed other people how a common I am . I believed... It was long a way.. Now I believe in myself. Because math for me is about a path not about results. This is the reason why I have my books with math or others, I study and read it because I want.Because everything around is a math,every science, all universe. And I am so thankfull for a pages like this is. And so thankfull for person like the math sorcerer is. 🙂
    4
  15449. I totally agree. every single person is unique in the universe and every single person has a unique ability.
    4
  15450. Shoutout from Brazil! Your teaching is saving me on my classes, thank you sir!
    4
  15451. K&R is great but definitely a reference book. Many modern languages, like Java and python, are written primarily in C. It’s by far the most important language.
    4
  15452. I did my math undergrad online...I was in the army so I didn't have much of a choice but I definitely learned how to self study and focus no matter what my environment was
    4
  15453. Bruh I’m struggling with everything(in math)but anyway lemme continue watching the video
    4
  15454. That was interesting, but coming from an Italian family, I have to say that a truth table is a table with instruments on it that will make someone talk. Lol.
    4
  15455. According to Alibris this book was reprinted in 2012 by Crawford Press and there are new/like new copies available from various sellers (all UK based, so I guess that reprint was done in the UK, all the US sellers are for the 1944 McGraw Hill edition).
    4
  15456. I would guess they use j because i is associated with amps (in electrical/electronics). Maybe? Perhaps?
    4
  15457. Thanks bro such a simple but before this video looking so hard...
    4
  15458. I don't even "like" Maths and here I am happily watching such a video.
    4
  15459. Yes it takes time,i think its also how logical you are cuz maths is just pure logic.If u can understand the logic behind the calculation then it just click in
    4
  15460. Math sorcerer you are my idol. I want to be a mathematician like you. I want to be a math professor
    4
  15461. Great sir... I am your student from Pakistan...
    4
  15462. Thank you
    4
  15463. If this guy clean shave his head he would look just like jeff bezoz
    4
  15464. That's what I mean to do!
    4
  15465. Nothing beats a problem that you can't walk away from haha
    4
  15466. My father was a math topper and here iam getting single digit grades every time 😔
    4
  15467. Came at a good time, about to polish up in my algebra (which I mostly goofed off during hs) and was gonna try a textbook but if im unsucessful this will be a great resource.
    4
  15468. Thanks for the video.
    4
  15469. This is the sorcerer that I have been waiting for my entire life
    4
  15470. I have a 9th edition (2006) of the book which is over 1200pages and very visual with black and blue color. In 1970, this book was translated in Japanese as the 4books series. Prof Kreyszig also authored "Differential Geometry" and I have a 1991 Dover edition, the original edition was published in 1959.
    4
  15471. Tnx so much bro
    4
  15472. this has definitely helped me ..thanks Sir
    4
  15473. Probably i am the first viewer❤❤❤👼🏻👼🏻👼🏻👼🏻💘💘🤞🏻🤞🏻
    4
  15474. Desmos Graphing Calculator gets this wrong in the same way that I got it wrong. I thought it was just going to be a line at ~.5
    4
  15475. Ahaha I saw your "math professors be like" video a while back, nice to actually be learning something from you now :)
    4
  15476. I'll use the integral test tò check if the series converge. And in fact converge
    4
  15477. Comment copy-pasted from my comment on your previous video Just curious, have you ever considered going deeper into logic? Obviously, you know the mathematical logic necessary to do algebra, topology, etc., but have you ever thought about going into subjects like abstract algebraic logic, non-classical philosophical logics like modal logics, fuzzy logics, etc? I can make reading recommendations if you’re interested.
    4
  15478. Thanks sir
    4
  15479. Good luck with chemical engineering plus maths.
    4
  15480. no talking, no bullshit, just pure math - love that vid!
    4
  15481. Wow 2nd edition of an absolute classic
    4
  15482. I love the cover of the book with horse head nebula
    4
  15483. Thank you! I’ve been searching for a list like this to help me refresh and prep for a return to grad school after decades in the workforce using little to no math skills.
    4
  15484. Id sacrifice my life for that kind of teacher
    4
  15485. Last year, I struggled with reading mathematical symbols like ~. I searched hard on them in Google and Youtube. This video is great help.
    4
  15486. I’m currently reading Stewart Calculus, I know it’s not ideal but it’s what I have right now. But, out of curiosity do you go through every problem in a text like Stewart or less?
    4
  15487. If I could quit working, go live in dorms, get rid of my car, just focus on school..............I would love to do that.
    4
  15488. Hi professor. I remember you introduced another abstract algebra book for beginners written by Dan. I wonder what is the greatest difference between the two books. BTW, I really like this book review series. It’s really helpful to me:)
    4
  15489. As an adult learner, I appreciate this a lot. You are so right.
    4
  15490. This is life! Thank you for saving my GPA
    4
  15491. Ha, I made it all the way to a degree in math with a small portable chalk board, paper and pencil; no PC and no calculator. Never used pens for math homework. Also had a slide rule which was seldom used. These were math courses (not engineering) so seldom gave answers in complete, numerical form. My room mate was Fred Flintstone.
    4
  15492. How many hours we should spend every day to learn math to become a professional mathematician? #selftaught
    4
  15493. After searching so mny times this really help me..😊😊😊
    4
  15494. Hey man, idk if you check this but how do you do the same answers for population instead of sample?
    4
  15495. You're a lifesaver! Greetings from Argentina
    4
  15496. You're the best! This is great advice.
    4
  15497. Omg me too, hate world problems
    4
  15498. ty
    4
  15499. Did you find totoro
    4
  15500. "John R. Hedstrom Please Return"
    4
  15501. I forgot to ask if u could also make a video on some effective study methods tht worked for you and hopefully worked for others .
    4
  15502. Very true... another useful video idea might be on how to manage keeping on top of past knowledge+skill we have learnt. I mean, as its such a vast field, many knowledge+skills we have learnt in the past can easily start to erode. And we "seem to have" less and less time to keep everything in check as more and more mathematical knowledge is gained. It is a lot easier if your profession is teaching maths as you are reviewing (a potentially large part of math you may know) all the time. But what strategies/techniques do self learners have to manage their increasing knowledge and skill? Anyways, thanks for all your hard work!
    4
  15503. Good morning sir You are looking me like a mathematician Grate mathematician
    4
  15504. I was sorry to have missed Leithold at Phoenix College; he left shortly before I was a student. But we still used his The Calculus. And I didn't understand delta-epsilon proofs from his book, either. But I did get to meet him several times at math teacher conventions. Great guy. And a very interesting one; he was part owner of the Portofino and Kiva "adult" theaters in Scottsdale!
    4
  15505. Thankyou sir, my book didn't explain it and I couldn't have figured it out on my own. Thank you again.
    4
  15506. Remember these kind of books in India while growing up.
    4
  15507.  @thetheoreticalnerd7662  Cool! I hope you don't get bored too early, most people super ahead I've met get sick of math, but keep loving it and you'll keep being awesome!
    4
  15508. Thanks for the positive response! I am sticking to competition math to distract myself for a bit, so hopefully that won’t be a problem :D I am very passionate about it like you so I don’t see myself getting too bored.
    4
  15509. Wow... What an interesting journey so far...
    4
  15510. Brien Boi interesting. Recently I have been working on Olympiad with my mentor, and the Combinatorics / Permutations topic has me kind of stumped (mostly the word problems, not just computations). So yeah, I am struggling more with Comb. / perm. than with Calc 2, Diff EQ and quantum mechanics :( Can’t wait to continue this conversation.
    4
  15511.  @cdhaifule  the ellipses are well deserved
    4
  15512.  @cdhaifule  oh yeah, in highschool, there were only 4 math teachers in the past 4 years, and 3 of them did a really bad job and they ONLY TAUGHT GEOMETRY. That means that one teacher taught the rest of the math classes in the school. Guys, don't move to Arizona if you ever plan on having a kid learn there. Somehow I pull top 2 or 3 percentages in state math tests even in that school. Can you believe they keep trying to cut funding from education in a state like that? The teacher who taught the whole school was a good teacher though, we love her. She had her Masters in physics, and the physics classes were a more that sufficient substitute for Trig/pre-calc. She let us take home our textbooks in the other classes too, and I was able to just go through the book and learn everything in there. Lovely times really, all the good memories.
    4
  15513. We appreciate your insights. You'll always have our support.
    4
  15514. Only time I ever got an A plus was when I fell in love with Maths, Electronic Engineering at trade school .. I didn't really even have to study .. I was just in love with her and she fell right into my lap.
    4
  15515. 1:04 Were you thinking of another mathematician? Also, is there anywhere where a pdf can be found? Libgen doesn't seem to have it.
    4
  15516. Thank you , from Argentina :)
    4
  15517. I think the weirdest math book I have seen is Handbook of Set-Theoretic Topology, by Kunen et al. (Don't know who this "et al" person is, but he or she seems highly prolific.) The only way this book could be more baffling is if it was translated into Linear A, the undeciphered script of ancient Crete.
    4
  15518. Thank you so much this video was inspirational , i am working currently much harder and intensively during my summer vacation, I've learned and practiced 4×2 maths and physics courses and more by my own preparing for next year , even if my brain gets overwhelmed sometimes and finds it tough row to hoe , I really enjoy it , regardless of the challenging difficulty , I'm still going forward ...of course break is mandatory , again mindset is vital ...
    4
  15519. and here I was trying to get a primitive to apply barrow's law like a moron, and since the video was three minutes short it had to be quick and easy
    4
  15520. Great video; makes me miss my undergrad algebra courses.
    4
  15521. Yeah it did thank you so much genius
    4
  15522. I couldn't agree more! Math can give us so much more than we can ever imagine!
    4
  15523. This is literally the only video I have found on the entire internet that shows how to do these with the limit definition. Thank you. You have literally saved my test score and my homework grade.
    4
  15524. "Strong accent"? We do speak English in Scotland, UK
    4
  15525. I'm just curious. Why the answer key only contains odd numbers, where's the even?
    4
  15526. I'm really starting to dislike this channel, it's simply too expensive to watch, I'm good enough at wasting money buying old books on my own without getting a constant stream of recommendations. ;) But in all serious, great book reviews, thank you.
    4
  15527. Wow I was not expecting to see mechanics of materials questions on this channel haha (At least some of them look like it, drawing shear moment diagrams, and critical buckling are key concepts being tested)
    4
  15528. You really have a good point there. I always recommend to do self study with friends, colleagues or anyone who wants to listen to you. Explaining and discussing stuff helps a lot in your learning experience. So let's go to the bright side of self study :)
    4
  15529. I think I am: First viewer; First like; First comment.
    4
  15530. wel wow i thought that this question would take a millennia to solve but that's a shortcut .......
    4
  15531. Thank you, that really helped.
    4
  15532. Hello, so I've bought a trig book by Harley Flanders and Justin J. Price, could you do a book review about it? Ty!
    4
  15533. Fraction confusion: When u tell them that to add with different denominators u need the lcd, and they say why is that.
    4
  15534. About the study place:What worked for me,was finding quite cafes.I mean those small places,with few customers and low noise.Some Bluetooth headset,playing at slow volume ,might do the trick.I did a very good revision of calculous and solved many problems from Kaczor-Nowak in that manner!
    4
  15535. One day I'm a genuis. The next day I'm searching for my glasses which are on top of my head.
    4
  15536. Fantastic video, thank you!
    4
  15537. HS student here hmmm thats a lot
    4
  15538. You are awesome man! I do and don’t drink coffee, sorry 😂
    4
  15539. I live in America atm, but grew up in Australia. obvee Terrence Tao is the GOAT, but on YouTube, we got some solid representation: Matt Parker, Eddie Woo and Matt O'Dowd on PBS Spacetime. That's the cool thing about being a part of a minority population, the mainstream has too many options. Imagine doing the same thing but for American, German or British Mathematicians/Scientists, lol. Fun fact: I graduated from the High School Eddie Woo teaches at, he grew up locally but attended a Selective Agricultural High School.
    4
  15540. the best teacher ever !!!
    4
  15541. you are like newton
    4
  15542. The thumbnail is HILARIOUS!
    4
  15543. thank you so much that really helped.
    4
  15544. Nice plan to remember the formula! Any way thanks
    4
  15545. Love your teaching sir....
    4
  15546.  @TheMathSorcerer  Wow really? That's really inspirational, do you have any video telling your story about what got you into math and how did go to college
    4
  15547. Math olympiad participants already have enough skills for any undergraduate class
    4
  15548. Let's see, so I take baby steps? Or do I take College student steps? Is there a difference? Hmmmmmmmmmmmmmm
    4
  15549. even if it takes 30 years
    4
  15550. Damn you got some guns on you, been hitting the gym when not mathing?
    4
  15551. 4:20 I always make a plan but I never fully follow my plan (most of the time is my fault) but I managed to get my work done by sacrificing my sleep hours. 😅
    4
  15552. i really don't see a reason why my instructor didn't explain it like this. thanks!!
    4
  15553. How I wish this video was made when I first started college. Could you make one one how to handle a mathematics textbook? When I started my higher math courses, I had a huge problem with how to extract the necessary information from the text. It was not like a history or economics textbook where you could read from point A to point B and understand what was going on. I was so used to YouTube and "Plug and Chug." in Calculus 1 and 2 that I really did not know how to use a math textbook. I see a lot of good students hitting a brick wall when they enter Linear Algebra classes or Discrete Mathematics because Plugging and Chugging does not work. The road block seems to come from the transition from "Memorize and Exercise" to "Use language and technique". They simply do not know what to do. They write a proof, and stand there with a plethora of questions and no experience to help them: Things like "How do I know if my language is precise?", "How do I use these words" or "How precise do I need to be? How much do I need to specify? Can I assume that the reader knows that a + b + 1 is a integer?"
    4
  15554. I don't think them as sacrifice I think them as investment for success
    4
  15555. this was how I was taught in the UK, although I was privately tutoured. I actually don't know the way you would solve this with fractions.
    4
  15556. I'm a new beginning to mathematics in this book will help me learn the basic skills of mathematics thank you so much keep the videos coming
    4
  15557. Lmao watching at 12:18 am
    4
  15558. U should math speed run against blackpenredpen in one of those MIT calculus competitions
    4
  15559. Paul "Air-dish"
    4
  15560. thenk
    4
  15561. Very cool, thanx!
    4
  15562. this guy is the exact opposite of your dad teaching you math. Thank you
    4
  15563. I came for the whiff, and I know you all did too: 1:49
    4
  15564. Thank you very much!!!! Such an amazing teacher
    4
  15565. You made the proof so simple and understanding
    4
  15566. thanks for the video!
    4
  15567. The timing of this could not have been more right for me
    4
  15568. The math in this particular problem is actually quite simple. There are some clever applications, but none of the steps are beyond a competent algebra I student.
    4
  15569. Thank you 💓☺️
    4
  15570. Finally, thanks for the review, they're awesome! Could you give me your opinion? I have a background on proofs Linear algebra and analysis 1 and 2 I'd like to self study Abstract Algebra what book do you recommend for self study and good with proofs? Not to dry/harsh but one that can make a better mathematician? I'll have Abs algebra next semester, so I'd like to study it before
    4
  15571. Thank you
    4
  15572. Lmao....how are we supposed to do this...I’m not sure, I haven’t read it in a long time. Classic
    4
  15573. Nice tip at the end with the minus sign and the c,
    4
  15574. The Math Sorcerer your students are so fortunate
    4
  15575. So, the entire function U has either a 0 or 1 value, which since multiplied by the other function, effectively enables or disables it, and that being done for a specific region of the graph as defined by both U & the coupled function, or whatever you would call the "not-U" function. (Me? No, not-U)
    4
  15576. I paused the video at the start and worked through the problem. I made a couple arithmetic mistakes but got back on track when the answers didn’t look reasonable. This was a great exercise - more please :-)
    4
  15577. Thank you Math Sorcerer! I got an A on the first exam, but probably only because I reviewed your lectures before taking it. I can only wish there was a Chem Sorcerer or something, lol 🐴
    4
  15578. That tea time sounds awesome, wish we have it here, I love tea regardless the topic lol.
    4
  15579. Geometry is what turned-on my Math Lightbulb as a High School Sophomore (finally!)
    4
  15580. I feel sooo grateful that I subscribed to your channel!! Thank you !!!
    4
  15581. This is a direct message to me. I never studied maths in high school but I was always the first. But now I'm reading Statistics in college and and I'm not performing well because I taught I will do well if still don't study.
    4
  15582. Hah! I remember plowing my way through this book. Pointers I found extremely useful and yes, the book was right, they make code compact. Good old days.
    4
  15583. I enjoyed this a_lot and you've got me back into self-study. Would you please do something similar for applied math? Also: do you have anything to say about SageMath or Mathematica?
    4
  15584. Watching this a day before Calc III exam five 😂- Better late than never I suppose!
    4
  15585. There's always an exception to the rule. I'm almost 42 and I know people in their 60s, 70s who still act like teenagers. Some people never grow up unfortunately
    4
  15586. Lol, agreed 👍
    4
  15587. Applied math can make you "rich" nowadays. Data science is there to stay, and the ones who really knows math, statistics and computer science can make some real impact in the business world. Just another aproach to the theme :).
    4
  15588. Nice
    4
  15589. I have an exam in complex analysis differential equations and multivariable integration in 10 days 🤣 i need this I'll go through some lecture notes and do some problems
    4
  15590. What did you decide in the end?
    4
  15591. What college did you finish Math Sorcerer?
    4
  15592. Hello sir! Love your videos, they're very very inspirational. I'm doing an ma in economics and just for fun, I was reading discrete math by Norman Biggs. Should I continue with the book or switch over to this one ?
    4
  15593. Wow, you speak spanish perfectly😮
    4
  15594. high quality book
    4
  15595. As what Lydia said, I agree somewhat. I understand it with all my notes laid out in front of me, but going into this for a refresher w/out notes would leave you with questions. I appreciate this nonetheless.
    4
  15596. This video really helped me...I would say this video made me sigh...I skipped 11th grade [passed but not attended class(which were introduction to Calculus)].....now I'm at 12th, I was really nervous about my future, as if I couldn't understand higher class math, if I want to do other jobs 😢,..... And now I'm okay.......I like watching videos of yours about self study, learn Calculus from hom beginning to end, your failures, your worries etc....
    4
  15597. I just ordered a Spherical Trigonometry book from 1940.
    4
  15598. By definition wouldn't a mentor provide you with the correct/substantive feedback?
    4
  15599. Nice video
    4
  15600. Free yt tutorial is far better than paid uni lecture. thank you
    4
  15601. I, too, am extraordinarily humble
    4
  15602. I study math just for fun...
    4
  15603. the jack of all trades!!
    4
  15604. I don't know if I'm wrong, but I think math is not only eternal in the way you describe it, but it's also infinite in the way that you never stop learning something knew, and that's one of the main reasons why I fell in love with math... One of my most difficult days I thought something like "even the closer people to you will some day pass or get away, but math will be infinite and you can hold on something that you know will last even more than your own existence..." jeje
    4
  15605.  @TheMathSorcerer  If it's a noumena it will exist even if the universe didn't exist. These concepts have existed in past perpetuity and will continue to exist indefinitely.
    4
  15606. This was relevant to my life. Thank you
    4
  15607. just writing "qed" at the end will improve it by 200%!
    4
  15608. Oh god😂 Yes, it would be real fun to watch
    4
  15609. We need Math Sorcerer merch!
    4
  15610. A bit off topic for this video but I think you'll really enjoy the book Gödel's proof if you haven't read it.
    4
  15611. Focus on not blinking. Blinking is a waste of time 😂
    4
  15612. You are a great professor! I love your sense of humor.
    4
  15613. Ohh gosh I spent nearly 1 hour how to do this and then this video solved it in seconds thank man
    4
  15614. You can legit count how many times he blinks. Love the video btw
    4
  15615. I agree with quite a few of the things that you said, but it really feels like you are making the point for: Grades are good, because we use them, which defeats the purpose. I am not proposing this (necessairily), however in all of the circumstances you mentioned they can be replaced with a ''pass'', making it a question about how can we prove that one is proficient in a subject, or find a metric (perhaps similar to grades) that always does justice for the person. I live in Greece and it's customary (with education free) to sometimes 'cut' ourselves if we don't like the grade (mind you, we are not paying for the courses or revisions of which), and that results in you actually taking it again (on your own probably) studying more and actually learning it very well, if you put the hours in, so having said that, i would much prefer something like a provisional grade, you can always take the test again while in your degree and enhance your grade, which is actually reflective of your proficiency - and in this easy way you would take a lot of pressure from a lot of people, since when courses are starting to mount it feels kind of bad to actually have to study for past courses that you ''cut''-.
    4
  15616. I'm a korean subscriber. I'm very worried about corona virus. This virus is covering all the country.
    4
  15617. I LOVE trig, but I'm terrible at calculus.
    4
  15618. real
    4
  15619. I love how he smells the book...this is a true connoisseur.
    4
  15620. Tnx very much
    4
  15621. Spectacular failures are a most excellent learning tool!
    4
  15622. thanks, more of this and logic cuz I'm preoccupied with that now
    4
  15623. Great Videos. Thank you!
    4
  15624. As a student who is starting on this book this week, on what is in brasil calculus 4, I apreciate this video.
    4
  15625. I just love that idea of drinking coffee to do your math and stay focused. It's actually proven that coffee is good both for cardiovascular and brain health, of course in moderation and minimal to no creamer etc.
    4
  15626. I need to do this in other fields as well. Thanks for the talk
    4
  15627. Could you do a video on the following quote by Einstein? "Nothing happens until something moves"
    4
  15628. What software do you use for these videos?
    4
  15629. Should other elderly Maths Professors be concerned if you go out and purchase one of their old books? 😆
    4
  15630. thaanks that was so clear
    4
  15631. Just commenting for the algo at this point.
    4
  15632. That Starbucks and library run every day is fun 😭
    4
  15633. Super helpful...I can't believe it's this easy.
    4
  15634. awesome man. thanks.
    4
  15635. This is a great motivational and truthful video you made.
    4
  15636. Hey 👋 buddy
    4
  15637. This is elaborately explained ! Thanks for providing these high-quality recorded videos.
    4
  15638. yo, that 1:40 min actually helped me...
    4
  15639. Hello, could you point me to good calculus books and abstract algebra?
    4
  15640. When I started undergrad for what was called CompSci back then, my confidence was trumped by a belief that the college was trying to trick me into getting weeded out since they announced during orientation how only 1 in 3 make it through. It took until at least my junior year to restore my confidence for outweighing my doubts.
    4
  15641. Make a podcast called "All the math you missed".
    4
  15642. Eres lo máximo, muchas gracias ;)
    4
  15643. thnx brother
    4
  15644. Thanks for your channel. At 16 I never focused on any of my 12 subjects, especially Mathematics. I was clever but a poor worker. I revised for my public grade exams 2 days before each, through cramming. I ended up with mostly B grades , including Math and Additional Math ( Oxford & Cambridge Board Exams). I made it to get 4 degrees in Finance,But after many decades ,I have decided to redo everything properly, starting from ground zero to get A* grades in Math and the Sciences, just because it’s an itch , that needs to be scratched.
    4
  15645. Good day Math Sorcerer, Where have all your other math books gone behind you? By the way, good advisory, inspiring and educational videos you present, without forgetting a dose of humor! Gracias, Jan-W
    4
  15646. Will you review Abbott's Understanding Analysis?
    4
  15647. Congratulations for the 500K subs but Math is a wonderful subject to have a channel on yt. Quite frankly I think you can reach 5Million subs no problem. We have on yt lots of Electronics, programming, and a few about Physics. Not many from Math! I was actually surprised to see few Math related channels. you see all those Scientific Area have to learn Math .. so in principle Math related channels shows have lots of subs and views ... just sayin' ...
    4
  15648. Well you sold another book - I am ordering it today. I haven't taken calculus in 50 years but like to keep sharp. Good find - Cheers.
    4
  15649. I've been wanting to print and bind a book for a while now, maybe I'll do one of these for fun
    4
  15650. The substitution is unnecessary.
    4
  15651. I’ve bought several math books based on your recommendations. I had to stop for a bit because I need to figure more shelf space
    4
  15652. Well... you did it... and its horrifying
    4
  15653. Hi math sorcerer, i was checking out your on math start to finish and it's a great video but all the book you mentioned are not available here in india and those that are cost about 7000 bucks for a second hand copy 19000 bucks for an original copy is there a way to get these books in hard copy for cheaper here in india or if even if possible get a soft copy for it in the form of pdf on the internet Hoping for a positive response. :)
    4
  15654. Five is the most I did, so I could have a less intense final semester to work on thesis. I wouldn't recommend five courses that are completely different. If I'm doing analysis or topology I don't really want to focus on algebra that semester, because it requires another way of thinking at least for me.
    4
  15655. Great video. Would love to see you do some of the more complicated stuff in that book.
    4
  15656. Thank You so much professor your videos have been helping me so much! You are amazing and I can tell you love what you do. (:
    4
  15657. How much time was allocated lol!
    4
  15658. amazing! have you done the trig from start to finish?
    4
  15659. "Mathematics builds upon itself"
    4
  15660. First comment
    4
  15661. A lot of math texts for applied subjects have a summary page of symbols in the front or back. You can also hit up wikipedia - they have a master page titled "List of mathematical symbols by subject". Personally the thing I struggle with is verbalising (I always like to think out loud) equations that use greek letters. That really slows me down when reading papers. There's no solution to that than just getting a chart and memorising them.
    4
  15662. ❤wow!! Brief, but thought provokingly deep. Thank you for that, Sir.
    4
  15663. I would love to see a whole video on the topic of mathematical maturity
    4
  15664. Very very instructive. Congrats.
    4
  15665. I’m a math major and education to be a high school teacher. Currently taking real analysis and probability/ statistics class also linear algebra. I did well in the basic Calc classes but everything else is so hard. Learning how to prove things is such a challenge.
    4
  15666. The bragging rights for "Yeah I taught myself Trig and Calc 1&2" are just glorious XD I think I am going to start learning linear algebra for realsies now, I'm doing proofs starting on the 11th of January, and I think LA will be a good contrast to it (I have been wanting to learn LA for 3 1/2 years now as well, don't know why I haven't)
    4
  15667. Are you tarzan?
    4
  15668. A true wizard. An absolutely wonderful explanation.
    4
  15669. This is really great,thanks a bunch but is there any chance u upload what you wrote as pdf? would be great
    4
  15670. feedback i instead call it. Failure could be more useful for if you are getting feedback by flying a jet vs a pure math test.
    4
  15671. I saw it at Costco a few months ago, I had an intent to buy it but ended up not doing it, should’ve done it 🥲
    4
  15672. Thank you so much for this... I'm trying to attempt questions of this topic since yesterday but unable to do it. RightNow I was stuck in a similar question and was on the verge to cry but thank God I finally got the right answer!!
    4
  15673. I really liked infinite series, too!
    4
  15674. Thanks for the help. made it look easy.
    4
  15675. Please review ' Problems solving strategy ' by Arthur Engel . How this book helpful for math competitions ?
    4
  15676. Great man!
    4
  15677. First
    4
  15678. Become familiar with Partial Fraction Decomposition. It usually gets introduced as a tool for computing integrals, but it's just an algebraic technique. https://www.purplemath.com/modules/partfrac.htm
    4
  15679. This will help me a lot. Thanks Professor !
    4
  15680. The students' questions are mine too! They and we are almost at the same level...
    4
  15681. I am so thankful that you explained this clearly and concisely. Thank you.
    4
  15682. That book is is magnificent condition for 1973
    4
  15683. Heyy, please, make a vídeo about the book Math Better Explained, by Kalid Azad!!
    4
  15684. Have a copy of both the 1st and 2nd edition of Jackson. It is always interesting to see changes based on changes in theory and the uniformity of units by different specialties in physics.
    4
  15685. study hard everyone! an hour of math a day keeps the math goblins at bay
    4
  15686. So simple, really understood. Thanks man
    4
  15687. YOU ARE AMAZING !
    4
  15688. The mathematics of trading: If your position goes from 100 to 50 you are down 50%, to go back to 100 you now need a 100% gain.
    4
  15689. I came for a better explanation on L'Hopital's Rule and ended up getting a bonus better explanation of limit at inifiity. Thank you.
    4
  15690. right after my calc final yesterday, I met my math professor for the next semester. she told me the class was going to be canceled but since there are a few people failing the class this semester, they will have to retake it. thus, the attendance will be enough for the class to run. this scared me a lot but now I feel like it may be okay, as long as I work hard enough
    4
  15691. ty so much dude
    4
  15692. Maybe also the Pólya book "How to Solve It" you recommended and Tomas Garrity's Mathematical Maturity lectures could help? His 2-part lecture on YouTube brings up some exercises he and other professors at his college do like trying to connect topics in math together. That, your recommendations on switching to other math when you're stuck but want to keep practicing math, and How To Solve It's questions leading to connection may help.
    4
  15693. As enjoyable to follow as listening to a concert of superb music! Well done!
    4
  15694. Schaum's are fantastic for any subject. Working on the Topology one now. Could still use a good teacher.
    4
  15695. I seldom use calculator. Most time I use mind calculation and hand (pen) calculation.
    4
  15696. Thanks for the video!! I was a little discouraged because i tried really hard to understand math and got stuck in one subject, then i got bad grades but this video really motivated me to keep going thanks a lot man
    4
  15697. Since you are in High School, talk to your Teacher. Don't be afraid to introduce yourself and ask for help. This is true for any classroom situation: High School, College, Graduate School, etc.
    4
  15698. ❤️💯✅
    4
  15699. The “I’ll be here two weeks from Monday.” 😂😂😂😂
    4
  15700. 3 vids today haha! I enjoyed every one of them. Please do a quick review of Calculus on Manifolds! Rather it's for begginners, if it is good for engineers, etc.
    4
  15701. Nice bird!
    4
  15702. Under what circumstance would this method would be useful?
    4
  15703. I wish that Munkres would have more examples. Sometimes I'm trying to work out an example on my own, and then I look at the book to see that that specific example problem has absolutely NO solution, so I don't have a Scooby Doo if I'm on the right track. So, I don't ever really feel comfortable with my homework if I can't work out the examples and be confident in that.
    4
  15704. muchas gracias por tu video, me ayudo demasiado, te amo <3 saludos desde Ciudad de Mexico, exito bro
    4
  15705. nice, yaar
    4
  15706. We used Swokowski 2nd edition ($33.35 new) for 3 semesters of Calculus at Louisiana State University early 1980's.
    4
  15707. I just found your math channel which is enjoyable ! Thank you.
    4
  15708. Thank you! :)
    4
  15709. And able to see the same thing on very different dimensions and with different perspectives under a settinggg using your critical thinking anf creativity, should also fall under intelligence. You'll see this in mathematics often. Multiple ways to approach same problem, multiple ways to see a problem, maybe even convert a problem to something else and see it from a different perspective or even try to visualise mathematics with graphs and animations and see them from different perspectives.
    4
  15710. Thanks for the assist bro!
    4
  15711. Really Thank you, I really liked the video since it taught me everything really detailed and it's really helpful. My test is coming and I have to prepare a large amount of syllabus since I'm in last year of high school😬
    4
  15712. Yeah I love torturing myself with abstractions all day lol
    4
  15713. I did the same thing, obviously!
    4
  15714. One makes one's own Felix Felicis through one's actions. Steady, continuous, intense study with lots of sleep, good diet, and regular exercise make the favorable body/mind conditions.
    4
  15715. Why not record the lecture?
    4
  15716. there is an old textbook written by bartle alone, is called "Element of Real Analysis", it cover all the subject of this book and has a part for derivation and integration in multiple variable too
    4
  15717. You cannot be first, Karl. We are all first, or we are all last #marxism
    4
  15718. I'm still in highschool but for some reason, I've been doing really bad in Math for the past two years. Every other subject I doing, I'm doing well in or if there's any issue, i can see a way to tackle it but math? It's almost like i never get it. It sucks because the rest of the class seems to understand everything and I'm that one kid who doesn't know what's going on. I'm trying not to be discouraged but it hurts. I'm going to continue practicing but i don't know what to do and feel lost.
    4
  15719. I haven't started any calculus course but I understood the lecture,you are incredible Sir
    4
  15720. Thanks!
    4
  15721. Better than my prof
    4
  15722. Nice!
    4
  15723. perfect, thank you very much
    4
  15724. Thanks for the inspiration. I also found one of your other videos helpful when you recommended just reading math books for the enjoyment. I was digging hard into them and painstakingly going over exercises and kinda burned myself out Studying it. But found it more fulfilling to me to just read the books pick up concepts and have the plan to go back with more rigor. I have started to do this with my textbooks from college regarding other subjects. And now I get enjoyment from just reading them as well. BTW 53 years old.
    4
  15725. Great production quality! A leg up from your previous comedy videos.
    4
  15726. Make a video regarding shitty teachers (impatient, toxic, and overall bad people, just so happening to pick teaching as a career), how that can impact math maturity
    4
  15727. I'm average too but u r my inspiration and now by studying I beileve there's no thing as Average, it's all about giving time to become best😊
    4
  15728. thanks!! you solved a big doubt I had
    4
  15729. Cheers to you sir
    4
  15730. As someone doing Msc in Theoretical Nuclear Physics this is extremely interesting to see
    4
  15731. Thanks man. I love advice from actualy really smart guy and not some fake guru saying you to repeat 10x times a day some affirmations :D :D
    4
  15732. tomorrow is my exam it help me a lot ....thanks sir
    4
  15733. Nice video sir
    4
  15734. I'd like to see a video of the wisdom literature from the Bible. Whether one believes in the Bible or not, the teachings are useful and potentially life-changing.
    4
  15735. The Math Sorcerer Yeah! I’m all done this semester thankfully!
    4
  15736.  @TheMathSorcerer  that's awesome, now we can all have a great winter break!
    4
  15737. love these short educational videos
    4
  15738. Grades definitely matter below a certain point... unfortunately that's the relevant take on this for me, I don't know what it's like for people sweating about their 3.5 💀
    4
  15739. Just factor out the ln's and cancel them to get 2x=3x-2 and solve for, duh... People always make things so complicated for themselves...
    4
  15740. Thank you sensei ❤️
    4
  15741. thank you! you are better than my teacher.
    4
  15742. mans is better than my actual math teacher at explaining it
    4
  15743. Forty years after I graduated college I'm still asking "why am I here?".
    4
  15744. Same technique used to get to Carnegie Hall. Practice, practice, practice.
    4
  15745.  @TheMathSorcerer  you will be sir!
    4
  15746. Lots and lots of previous practice with maths can make you solve problems in seconds.
    4
  15747. wtf this dude look different than last time I seen him last year
    4
  15748. How do you gain subscribers so fast.
    4
  15749. Hey authors & editors, now pay attention. I love wide margins on some pages like those in this book by Susanna Epp. Margins mean spaces for sticky notes or scribbled notes. I will buy this book, but I wait till January. Christmas is going to eat my wallet. 🙁
    4
  15750. best math professor ever!
    4
  15751. Bang on the money again Chief! Great vid!
    4
  15752. Hey man i was wondering if youd make video on why p=MV n why is F=ma. A mathematical take. Counting on u to help me out
    4
  15753. Dover Publications has also published original modern books in mathematics in what they call Aurora Series. One of those books is "Calculus: A Rigorous First Course", by Daniel J. Velleman. This is the same guy who wrote "How to prove it". I think both books are great. I bought the latter on your recommendation and I'd really like to hear your comments on the calculus book. It covers calc I and II and it takes a very rigorous approach but in a very comprehensible way. Thank you so much, Math Sorcerer. I'll wait for the video on Velleman's calculus book.
    4
  15754. I am self studying too. I have days I study 5 or 6 hours, but it's more likely I study between one and two hours. The longer days usually happen when I'm, as the sports term goes, in a zone. On the other hand I hand days I struggle get to that hour in.
    4
  15755. Thank you so much
    4
  15756. I've got the 2018 one. 😊
    4
  15757. Another cool thing about the author Sir Horace Lamb is his book on Hydrodynamics is still reprinted by Dover Publications and can be purchased. Many modern books still refer to his book.
    4
  15758. you need to see the books from Elon Lages Lima, he is like a brazilian serge lang
    4
  15759. What are your thoughts on a M.A. vs M.S. in mathematics, especially as a terminal degree?
    4
  15760. Yes it helped all in the world 😁😍
    4
  15761. Great video man! These videos have helped me a lot
    4
  15762. "Math you have never seen" watches video twice Checkmate bozo
    4
  15763. Sorc!!! Don't say it! I'm on a 20 day streak
    4
  15764. first comment!
    4
  15765. my friend she can solve a 50 math equation in 30 minute
    4
  15766. thank you for helping me distribute the power in the sinh^2 x and cosh^2 x , very helpful!
    4
  15767. I'm considering studying math again at the ripe age of 31 (I have a GI bill so cost isn't as big of a factor), and a little encouragement helps. Thanks for the video.
    4
  15768. all the way from SOUTH AFRICA, I enjoy your lessons wish they were contact. YOU'RE THE BEST!!!
    4
  15769. I took math courses in the 70's and all we had was the book used in class and maybe a Schaum's Outline book on the subject. Today you have more books and plenty of free videos on YouTube to augment your learning. Consider yourselves fortunate and take advantage of this material. :face-blue-smiling:
    4
  15770. Suggestion for a video - What are your favorite applied mathematics topics.
    4
  15771. I thought it's Algebra by Hungerford..nice review
    4
  15772. Between this text, Rudin, and Tao, any preference for someone who plans on self studying but has some previous experience in analysis?
    4
  15773. Hello maths sorcerer. I have just completed my undergraduate maths/econ double major and i really want to jump into data science. is it possible?
    4
  15774. thank you so much but are you okay !?
    4
  15775. Probably one of your best videos, thanks~👍
    4
  15776. Congrats on 500K!
    4
  15777. Thanks sir
    4
  15778. And that’s why you are the best. Such a good explanation!!! Got goosebumps here lol
    4
  15779. thanks for this mr. ripped sorcerer
    4
  15780. Bruh 🤣🤣🤣🤣
    4
  15781. 2nd viewer, Sir, I love your videos. I am literally 17 years old and I am doing better in mathematics also enjoying it, all because of you. Thank you so much. Love from Pakistan 🇵🇰 ❤
    4
  15782. but i just realised i am talking to myself
    4
  15783. Thanks for uploading!
    4
  15784. I strive to set the minima of my analytical abilities above the average of the mouth breathers of Walmart, but I've many times been accused of being unbalanced... lol. Seriously though, every great comprehension and analytical value I've added to my life was garnered during a time of obsession and hyperfocus to the exclusion of all else, but that's me. Complex analysis, Tensor Calculus, and Differential Forms don't lead to light conversation at the dinner table. To have friends or family drop by for a visit and they ask you what you've been doing... this huge divide opens up between you... because there is just no possible way you're going to be able to explain it to them, so you just say "Stuff, I've been doing some stuff." I wouldn't change a thing though.
    4
  15785. It makes sense--in America, calculus is considered college level math. I have a bachelor degree and never was required to take calculus. All the calculus concepts I've learned have been via YouTube, after age 30. Unless one was on an accelerated path in high school, anybody not in STEM is unlikely to be asked to take calculus. And then add in the people who don't even go to college because it isn't right for them! Calculus seems simple to math folk, however most students end there or earlier.
    4
  15786. I've been on a gap year for the past 4 months with a goal of pursuing some personal projects and prelearning a lot of the classes I'll take in college with the breadth and freedom not afforded to me in a structured curriculum. The past few days have been lost on me for productivity and your words have reminded me of my bigger ambitions. God bless your mind and ability to teach.
    4
  15787. Starting to remind me of my first year calc prof who was a semi professional power lifter
    4
  15788. Thoughts on Serge Lang's Basic Mathematics book?
    4
  15789. Thank you for your help! Needed some extra practice :D
    4
  15790. Though I’ve never seen double summation ever before. I understood your explanation. I feel very happy. 😊
    4
  15791. Thank you for making on focus topic so much useful, looking forward to such self development topics
    4
  15792. Can you please draw a crisp comparison between Freidberg and Hoffman Kunze
    4
  15793. thank you very much, subscribed right away awesome video !
    4
  15794. I love you
    4
  15795. so true man, thanks again for this kind of videos, cause on this time I'm on exams and I saturate a bit cause I try to do the most everyday, but that leads to procrastination cause my brain oversaturates. Thanks again for your tips!
    4
  15796. What are you up to with this video? I know you're up to something. The math does not lie.
    4
  15797. when psi took the coset back to k, i was like aaaw, but then when phi got onto, i was like NO SHE DIDN'T!
    4
  15798. Its amazing that when i put my head again and again thru set theory, i understand more how to proof examples. Thanks for this
    4
  15799. 💯💯
    4
  15800. Does college mean "first year of university"? Is this like linear algebra?
    4
  15801. this video is soo beneficial !!! :)
    4
  15802. I was planning on saving money this year, but I guess now that's going to have to wait until after I buy all these books! 🤣❤️🤣❤️🤣❤️
    4
  15803. I think grades matter to a certain degree.I mean of course there is a difference of having an A and D but it doesnt mean that you can become better on it later on. For example just because one has passed real analysis just with one point doesnt mean one can learn it afterwards and so one can become very capable of writing an A if one would take the test again
    4
  15804. FIRE!!!!!
    4
  15805. Thank you soo much sir😊..
    4
  15806. Interesting to think about this in terms of Godel's incompleteness theorems. The basis of how we assign a truth value to a statement is if the statement can be proven or disproved. But Godel showed that in a complete system of arithmetic, there will always be true statements that cannot be proven - so what does that suggest about maths relationship with the universe? Maybe that it is indeed a mix. That math is a way of describing much of the truth of the universe, but that there IS more out there which unfortunately we may never be able to prove, but which math assures us will be true.
    4
  15807. Thanks for making this video and breaking this down. Also, I find it kind of impressive that you only blink once in a 9 minute video.
    4
  15808. I love math and i use to get good grades, but education system and my uninterested teacher from grade 8 shrinks me down😢
    4
  15809. what aboout when the walmart is next to a university
    4
  15810. I'm uniquely qualified to answer this, so I'm going to give my two cents. Buckle up. 1) Do everything the math wizard says. 2) start researching how to study. 3) start with less classes, not more. Add more as time goes on and you feel comfortable and confident. Keep in mind that summer courses are shorter and faster so don't take the same course load over the summer. 4) when in class, do not leave a single point on the table. Complete every assignment and do as well as you can for everything. 5) start with mathematics and take all of your related classes consecutively. Chemistry, biology, physics; All of these classes become easier with a strong foundation in mathematics. There is so much more I could say but this is the quick bits
    4
  15811. Damn i tried so hard on solving it by ILATE method but it never occured to me it was not a definite integral. Thanks you're the best
    4
  15812. Wonderful ole book ... thank you for reviewing this treasure!
    4
  15813. Just bought this book after watching your video from yesterday. Showing all those integrals is getting me really excited to work through this book!! Going to grad school for math next fall hopefully.
    4
  15814. That's a good book, I've started my modern algebra journey with it, you can also use Dummit and Foote or Pinter.
    4
  15815. Thanks!
    4
  15816. Bro do a video about analytical hyperbolic geometry
    4
  15817. A whiff 4:00 Another smell 4:47 A final whiff 7:49
    4
  15818. "...and that's why self-study was invented" LOL
    4
  15819. Worst thing a math teacher can do is punishing someone for a wrong answer and leaving the student helpless. When doing algebraic calculations, I (may be wrong) see that there are on one side rules that are of the identity type which of course follow from operator definitions and operand properties, on the other side there are examples, cases of an equality which are taken as already "known" things: 2+2=4, 2*2*2=(2*2)*2=(2+2)+(2+2)=8, 5*3=(5+5+5)=15=3*5=(3+3+3+3+3)=10+5 etc. - same number with different structures! And such, with no particular order, yet the upwriting suggests a logic, time-ordered cause-effect relation that are connected to apply identities which are in turn properties of an operation. The more we think about them, the dirtier and harder they become, especially when all is laying on paper. Math teachers who fail at syncing the attention of the student to the course of the solution, be that an expansion or isolation or simplification or conceptual switch (for example converting integers into fractions, factoring numbers, etc.) wrongly test for mechanistic walkthroughs on a particular algorithm rather than testong for understanding of the concepts. That kind of work literally eats time and is useless as a rock. However in an information theory sense and even in the learning sense these redundancies have deep meanings too, which are required to get one used to the "known" truths for which math exist as a compression and generalization. The problem is that most math teachers expect the student to try what they wouldn't try again for the n-th time as they already know the result. But in order for one to learn, encountering the same thing many times and also counterexamples are essential.
    4
  15820. Sir which book is good for Understanding concepts of Real Analysis,which would also help us in solving inequalities in limits,continuity or say functions of several Variables ?
    4
  15821. Calculus lover ❤️ Algebra ಠ⁠_⁠ಠ
    4
  15822. Im struggling with this so much :(. It is such a vicious cycle as well. Thank you for the video
    4
  15823. John conway died :( he wrote a book on complex analysis,among other books
    4
  15824. Why did I think it was about getting kids in college days (The TItle and it is 16 min long) 🤣
    4
  15825. "English wasn't my first language" mind blown Sir, your english is better than most of the english speaking people I've met.
    4
  15826. I'm really interested in learning math but I'm very bad at it. I'm 27, is it too late to learn math from basic? Can u provide some very good resources for self studying the foundation? I want to learn calc but have no foundation at all
    4
  15827. This is true. I like real and complex analysis. I tend to go back and study these two subjects again and again and this has helped me with physics since a lot of physics is derivation.
    4
  15828. Brilliant videos. Thank you!
    4
  15829. 6 hours a day for one year . I have managed to pass A level maths.
    4
  15830. It looks like a cool book to read and work out some cool exercises!
    4
  15831. Sir.... I want to talk to you so please send Gmail........ 🙏🙏🙏
    4
  15832. I really needed this today especially after finding out I bombed my first advanced calculus exam which I thought I did pretty alright on
    4
  15833. Man you’re actually ripped 💪😎
    4
  15834. Good !
    4
  15835. My left ear liked this video
    4
  15836. Larson >>> stewart
    4
  15837. Ya like doing aptitude questions a lot😅
    4
  15838. Great video! Happy new year btw and i admit, self study is great, and it just comes automatically when youre passionate about what youre learning
    4
  15839. We need a complete archive off all the lovely math books you have
    4
  15840. Perhaps I should read more math books.
    4
  15841. People are right in asking help to solve their problems! Because problem solving skills are unfortunately uncommon and people are often poor in that. So you might lack the domain knowledge, but the meta-skill of problem-solving is valuable for everyone. For example, a person who is used to solve math problems is able to hold focus on a problem patiently for a long time. Also resilience, super logical mind, good symbolic working memory, analysis, and simply logic! . This doesn't mean you should waste your time on every request, but just saying there is some truth in that image. There are counterproductive skills as well, such as inability to see uncertain and fuzzy solutions, narrowing down, and other pitfalls of strictly logical thinking.
    4
  15842. The life genius.
    4
  15843.  @johnclever8813  Stochastic analysis is becoming exceedingly popular in the biological sciences and in epidemiology traditionally. Traditionally, though there may be differential equations or sets of differential equations describing evolution of systems, it was eventually appreciated that perfection is not the norm and thus the popularization of stochastic sets concerning differential equations. For instance, at an instant in time, instead of supposing that the population of a sample will grow to this level due to the previous set of instances as described by an exponential growth, we may instead allow sets of values with appropriate probabilities associated. As an immediate suggestion, for an appropriate discretization e, there is a greater than 0 probability that the population at (t + e) will be equal to the population at t - that is, no growth. Otherwise, stochastic precesses is increasingly becoming overwhelmingly popular in neurobiology and cellular biology due to the classical description of brownian motion. It is perfectly natural to consider biological systems from the perspective of brownian motion. Biology will only see progress with increasingly advanced applications of mathematics and even more so than physics - that the level of mathematics a theoretical biologist should possess is complicated than that of the theoretical physicist. Indeed, mathematical physics saw much more development as opposed to mathematical biology historically because biological systems are much more difficult to comprehend. Therefore, though stochastic processes and stochastic analysis will very likely become ubiquitous in biology, I suspect so will a great diversity of mathematical subfields from harmonic analysis to tensor analysis to functional analysis to algebraic subfields as in group theory, and further in topology, geometry, graph theory, computability and complexity, and so on and on. We simply do not live in an era where progress can be made without collaborations, the biologist, the chemist, the physicist, the mathematician, and the computer scientist will all have to collaborate to see any glimmer of light at the end of the tunnel.
    4
  15844. YEAH!..IT'S NOT PERSONAL BUT IT'S TOO LATE..I MEAN LISTEN TO WHAT ELON MUSK SAID.."COLLEGE IT'S NOT TO LEARN BUT TO HANG OUT WITH PEOPLE YOUR AGE...ITS FOR FUN"..THE VIDEO IS CIRCULATING ON TIK TOK IF YOU ARE INTERESTED...
    4
  15845. thank you man in my computer
    4
  15846. Thank you for this
    4
  15847. This video was very helpful, thank you.
    4
  15848. The Math Sorcerer: teaches y=mx+b Also The Math Sorcerer: has Cal 1,2, and 3, and Differential Equations in the description
    4
  15849. Dalton Hall my son's halls during his first year at Manchester University. The book reminds me of my A-level Physics book by Nelkon and Parker.(1970s)eek!
    4
  15850. Mathematics is hard, rigorous and exact. It demands a lot from you. But some of the kindest most humble and selfless people I have met were mathematicians. From high school to college. My maths professors always tried the most to teach me something, or to put it better, did the most to help me learn maths. I am studying chemistry. Professors I respect the most are my maths professors, and not for the subject they teach.
    4
  15851. First ❤️❤️👏👏👏
    4
  15852. 😃
    4
  15853. I love your channel
    4
  15854. Nike wants to sponsor your video.
    4
  15855. I am actually taking both at the moment, and I agree analysis can be a bit tough the first time that is why during the summer i read all the chapter of the analysis1 and now that I am actually taking the class I struggle i seems to be able to grasp the ideas way better and actually became one of my favorite class I am taking at the moment even more than computer science courses, and before that I used to be scared of anything proof related and abstract stuff but now i gotta say I find it really interesting my point is to any student that plan to take this course if you could go over by yourself before it actually start it would be way more interesting and easier to go over it again in class with an actual professor
    4
  15856. Beautiful message. I love all your videos. Thank you!
    4
  15857.  @TheMathSorcerer  Thank You
    4
  15858. Hey sir you're completely look like sir Issac Newton
    4
  15859. Maybe a Newton
    4
  15860. Men, you are a hero, really. Thanks my english its too basic, but I want learn because I want understand all your videos. You are great
    4
  15861. We appreciate how well you've articulated your insights. Keep doing your best.
    4
  15862. I have another math book by Knuth that is superb if not as well known as it should be. That is "Surreal Numbers" where Knuth expands on an idea by, I believe, John Horton Conway.
    4
  15863. so true, you have to do tons of problems
    4
  15864.  @johngeer4557  yes buddy:) If I did, then I would be happy, seeing the number of people recovering! Let's hope I did then!!!!
    4
  15865. I have the second edition of that book which does contain solutions to selected excersizes in appendix 1.
    4
  15866. I clicked on this thinking the title said, “when is the best time to by socks?”
    4
  15867. Yeah, Wizzard, you really rang a bell when you said you can't write notes at a lecture and listen at the same time. I made an enemy of the Professor who teaches Psych 101 because he actually taught about all the mechanism involving attention, short term memory, retention to long term memory, and there is No Such Thing as "split attention". Attention is a Zero Sum Game. But I told him that from the Math Department (then it was Algebra and Trig, and Intro Stats) that the professors were providing us with Objective Sheets every class telling us exactly what skills we would be tested on (even the problems were similar... 'similar' in the mathematical sense that just the scaling and constants were different enough so that remembering just the answer would not be enough). I said without such material we did not have the information to 100% his tests, which should be easy if given the resources because it was just BS... no skills involved. The only way to impede a good student would be to restrict information which was what he was doing (I was in the Military and when we TEACH, we are not Gate Keeping, Winnowing, Filtering and Selecting People, no, we try to maximize each learners intake. So you can imagine how much I hate a System that is designed to fail people and short change Society). He argued that everything was either in the book or in the Lectures. That is where I brought up your point and even showed him the page in his book, and the notes I had from his Lecture on it, that he should know that Lectures are inherently incomplete, that he give his lectures from notes, the same lectures each year, that they should be written out by now, and they can be provided through the Universities On Line Media and Material Site to save paper. Then this was charming what he said: "I we do that then what do you need me for?" And he smirked. "Yes, Doctor, exactly, your job is inherently make work, you are not really necessary at all, your TA's are already grading the tests. and so the University might as well be tossing $80,000 out of the window each year. On your evaluation I will make sure the Dean knows that using better more efficient teaching strategies a Full Professor could be replaced by some Adjunct and the students would be even happier than they are now, not having to fight through your hurdle making and obstructionism. Yeah, we were great buddies. (Oh, I am in the Universities Senior program and already have a BA Degree from an Almost Ivy League School, and just took Psych 101 to see if anything had changed in 40 years (some, but those Psych Departments Cultists still worship Freud who never conducted a real study in his entire life... it was all Sci Fi and speculation, and we even know that much of it is wrong, but it's taught anyway, out of a sense of quasi-religious fervor). But, yeah, I could make noise that no 18 year old kid could make. Also I noticed that a Dean Team was auditing his lectures and asking questions, which meant that it was himself that was on the hot seat within his own department and so he very well couldn't make waves by causing any more trouble by confronting me.
    4
  15868. A with a bar over means "closure" to me. Better to use A' for complement if you don't want to use a "c".
    4
  15869. Thank you man ✨
    4
  15870. They used this at my school. It's not a fresh memory, but iirc, it still needs a teacher to expound the finer points. You could probably still pick up a few things even if you don't happen to be lucky enough to have one that doesn't mind teaching.
    4
  15871. My fave is when you help your homie on his homework and you feel like the second coming of Einstein, then you open your homework and you remember you’re a pleb lol
    4
  15872. I didn't start grad school but a new major, sometimes I wonder why I complicated my life so much having a full time job and school at the same time, but learning is my passion, I can't help it 😅
    4
  15873. Hello sir, I don't know if you will read this comment but I hope you do. I have seen that friends and peers all throughout my life have called math fun, yet even though I have gotten good grades in the subject I feel I haven't enjoyed it for years. I'm not sure why this is, but I feel like it's because I don't really understand anything and I'm just memorizing and forgetting the concepts. Summer break is coming up and I'm a junior in high school, and while I would usually be lazy over summer break, I want to make a change and not only do well on my next math course but find math fun and actually understand it. I would love it if you could recommend me some math books that can help me achieve this goal and that I can study and utilize over my summer break. My next class in my senior year is going to be Calculus, and I am in Pre-calculus currently (I am in 11th grade). If you have read this I appreciate you taking the time out of your day to look at my comment, and I hope that things go well for you in your life. (I also just want to say that although I have only watched some of your videos, you seem like a very intelligent man and I think lots of people would say that they greatly appreciate your mathematical wisdom).
    4
  15874. Do you recommend for self-study Dummit & Foote (algebra) and Terence Tao - baby Rudin (analysis) thinking I hope will begin graduate studies?? (sorry if my english is not good, but my matter language is spanish)
    4
  15875. Holy shit I figured it out! I'm literally ecstatic rn and I feel so smart
    4
  15876. idk what course to buy for cal1: ¨Calculus 1 Lectures with The Math Sorcerer¨ or ¨Calculus 1 with the Math Sorcerer¨
    4
  15877. Digital Detox !! Erase your social media and focus on improving self…stop subliminally comparing self to others
    4
  15878. I bet you have a few books on that shelf that don’t spark joy, but you’re not going to Marie Kondo them ;P
    4
  15879. My man! Appreciate it!!
    4
  15880. Awesome haircut, looking solid! 😎🍷
    4
  15881. thank you
    4
  15882. I proved it in a different way: First, xy is an element of G because G is closed under the group operation. Next, (xy)^-1 exists because G is a group and xy is in G. Therefore, (xy)^-1 (xy) = e. Multiply y^-1 on the right of both sides: (xy)^-1 (xy) y^-1 = ey^-1 Apply associativity: (xy)^-1 (x)yy^-1 = ey^-1 Y times it’s inverse is the identity. And any element times the identity is the element itself: (xy)^-1 (x) = y^-1 Multiply x^-1 on the right of both sides: (xy)^-1 (x)x^-1 = y^-1 x^-1 Apply the same reasoning as before, and: (xy)^-1 = y^-1 x^-1
    4
  15883. I used this book back in college in 2004 for a Math History class. I still have it. If you're going to get it, get it used. The price for it new is outrageous.
    4
  15884. Thanks for your book reviews. If I may suggest, it would be nice if you could mention a bit about the exercises - whether they are good quality, difficulty, style, etc. It helps compare books. I've been wondering about how to approach this for my self-study of abstract algebra. I'm currently reading Gallian and I might do selected exercises from it (selected by some online course of which there are many). Then I was thinking of reading Artin and then Dummit. I was thinking of skipping the exercises from Artin and doing the ones from Dummit instead when I get to it. As I've heard Dummit might have better problems and more related to number theory which might be useful since I might want to do algebraic number theory next (which reminds me to look for your review of Ireland Rosen if you have done one?! :)). Is this approach appropriate? Also, in general, how do you approach exercises when reading multiple books on the same topic - can't do them all, can we?! Or, do you think it makes sense to do more thorough coverage of exercises from Gallian, Artin and only then move to Dummit? Thanks.
    4
  15885. Self study is the the best, I appreciate the advice on self study because some of the tips are actually how I study. Sometimes if you don't understand a certain material you need to have at least two or more materials on the particular topic because some materials are explained in a language that you can not understand. My advice is that when you read a math material you would not understand some of the terminologies in that material so you can read a topic and try to compare the the terminologies use in different books that way you would broaden the way you understand math.
    4
  15886. Like 80% of this book plus 40% more stuff is covered -- better IMO -- in Arfken and Weber. We used that textbook for my undergrad mathematical methods course and I still use it as a reference.
    4
  15887. You, sir are a lifesaver. :) Thank you for these videos!
    4
  15888. a favorite of mine...great for engineers
    4
  15889. I could say this book is basically my calculus 1 and 2 course. I’m mexican, and unfortunately, I haven’t ever seen this book in a library, so I use a pdf. In new editions there’s an introduction to topology
    4
  15890. Thank you sir
    4
  15891. thanks for this exercise that really help me out
    4
  15892. >book for “superintelligent” school proof of pythagorean theorem in answers😂
    4
  15893. So ... for all those bad reasons , what you’re waiting for? Go and study maths!!!! 😄
    4
  15894. Taking Complex at UCI right now using the Churchill book
    4
  15895. this is sum cool stuff :)
    4
  15896. thank you, really :)
    4
  15897. Now I needed this damn. Edit : I forgot to thank you 🙏
    4
  15898. I was wondering why you haven't written your own math book. It will be awesome and everyone will buy it.
    4
  15899. It must've been Friday this teacher way too in the zone for a Monday-thursday type of class
    4
  15900. perhaps a good companion piece would be Roger Penrose's The Road to Reality, just so you get a bit of the beauty and the mistery of math
    4
  15901. Very good guidance sir, good morning 😊👍🥰
    4
  15902. I don't know what kind of test he passed, but they can give 125 as the maximum of most categories and not average the numder. I had ~125 on most categories and 102 on processing, and they still gave me 125 but said it "couldn't be considered" or something like that Also I have aspergers so maybe Feynman too which is neat
    4
  15903. I like you natural vibes, a professor that can be friended with, makes learning this not tiring, thanks for sharing.
    4
  15904. Till the middle of the video i think you are in forest
    4
  15905. Yes , I just finished my course of advanced calculus！And I am ready for learning the subject：complex variables！
    4
  15906. How can i get it??
    4
  15907. Wouldn't be easier if we deduce associativity from the fact that matrix multiplication is associative over the set of all the matrices, and then it is associative over a subset of all the matrices?
    4
  15908. This was so helpful! I actually feel ready for my exam, thank you!!
    4
  15909. I used wolfram alpha on my online math tests hehehe. Feels great to get an A in tests and final online. Sheesh it's so great to have math online
    4
  15910. U shoulda told this to stanley smh lol (do u read my other comments? im a fan sortta)
    4
  15911. Writing detailed steps while solving a problem is it a good sign for math students?
    4
  15912. Thank you... This was very helpful😊
    4
  15913. Looks like standard Calc 2 material to me. Perhaps the problem was not so much the difficulty but the amount of questions.
    4
  15914. thanks, and btw don't "over rest" it sucks
    4
  15915. Once again you’ve reviewed one of the books I used in undergrad. UofM, Winter 1967, Math 513, Prof. James Kister. Good teacher. Good book.
    4
  15916. Thank you!! A nice thing I personally like about ~p or q is that: ~p or q <=> p implies q. So, any implication can be turned into an or-statement using the above. ^^
    4
  15917. Thank you, Professor. I got a long way to go but will get there by doing what you suggest in this video.--God willing.
    4
  15918. I am going to point all my students here :)
    4
  15919. 10-12 hours per day of FOCUSED learning doesn’t allow much time for DIFFUSED learning. Diffused learning is where the mental integration happens.
    4
  15920. Do more of these fallacy videos, the more subtle, the better.
    4
  15921. This was my undergraduate Modern Algebra text, too, albeit an earlier edition (the cover is green). I actually have this edition as well. I agree with you that it is lacking; I didn't know anything about rings until graduate school, but for group theory, this covers a lot of ground.
    4
  15922. I’ve been a part of academia my whole life, I am 58, and I have worked for various universities for years. When I was growing up in Amherst, my father was a professor at UMass. My wife is a professor, my wife’s father was a professor. So, I have some experience with academia. And point 2, is the major advice I give anyone in college. It’s all about you AND your professor!
    4
  15923. I think you have cursed me, I picked up 3 more math books today! Introduction to Mathematical Analysis by Parzynski and Zipse, circa 1982 And....Drum Roll please! Calculus, Early Transcendentals by James Stewart, 4th ed....with the matching Student Solutions Manual. Each one costs $1 at the local college library used book sale section! There were probably 20 Blitzer Intermediate Algebra textbooks available, $1ea.
    4
  15924. The Math Sorcerer I got 91 on my test and I can’t thank you enough.
    4
  15925. I think a good approach is about 4 classes per semester, 2 hard, 2 easy, sometimes there's 1.0 unit classes that can serve as a 5th class. But the majority of time will be focused on 2 subjects and then you have your 2 lower division courses and electives and even lower level major intro courses. 4 classes in general is the sweet spot in my opinion. But yeah, 3 tough classes is like just barely making it. I remember barely surviving Ochem 201, Molecular Bio 204, Econ 102 and oceanography 101 because the sciences come with labs which is basically like 6 classes actually.
    4
  15926. my exam is tomorrow , i was saved😭💘
    4
  15927. Full disclosure I'm graduating Medical School but my heart arcs towards physics and mathematics - As I master medicine I truly hope to find inspiration into a deeper understanding of maths and theoretical physics I'm gravitated to. Thanks for these vids... much appreciated!
    4
  15928. Ur the real OG!!!
    4
  15929. Dude stare into my soul, i’m scared to quit the video
    4
  15930. About a dozen of my students did not show up for their final exam today. Another half dozen turned in their final project eight hours after class ended. I find that showing up and participating in class (asking questions, adding comments) really helps students do well on tests too.
    4
  15931. You can also find this formula for π from the eisenstein integers' dirichlet series.
    4
  15932. The hard part is actually knowing what I want, because since when did anyone have a clue as to what they want I'll elaborate on this 99% of the topics in Math that I initially found super hard, and extremely tedious, ended up becoming my absolute favourite after practice. But this will be the case till I finish school, after that, I cannot do everything and get a taste for it. For example, I have great interest in Physics and Computers as well, and I'm always confused as to what will be my major, but I cannot do 3 majors, and then choose. Now in the math example given by me, I could do everything, and then choose, but now, I have to choose almost randomly, because every subject is vast, and I cannot spend time learning about all topics and then choosing So it's almost like I'm choosing randomly
    4
  15933. This is excellent advice. 🤌🤌
    4
  15934. Just wanted you to know you taught me differential equations, I can't thank you enough. I ended up getting an A- in the class.
    4
  15935. Hey good review. By the way the book by George Polya is awesome too
    4
  15936. Wow
    4
  15937. I'm going to have a look at this, I've been trying to find an approach for introducing calculus and trig to my kids where I can teach calculus first and lean on that when teaching trig.
    4
  15938. I just thinking about grad school, and then your video popped up. Thanks for sharing!
    4
  15939. is this jeff bezos on a wig？
    4
  15940. woah 13 videos in an hour?
    4
  15941. Ahhh I'm so conflicted!! Everything on this channel makes me feel like following my dreams might be a really good idea! I really, super, very much want to be a math major. I picked engineering, because I mean, I'll like it, quite a lot at that, but I won't be a mathematician at the end of it. Engineering gets me money though, it gets me jobs. It MIGHT get me that lovely work flow I've dreamt of where I work with spreadsheets, with a blackboard with some high quality chalk, a wheelly chair that I rocket from my board to a table, but I don't see all of that happening. I'll feel fulfilled, I know I will, I just don't knoooow! I'm about to finish Calc 2 with 100% in the course, and I'm in my senior year of highschool. In this one year, getting through Calc 1 and 2, and letting that be my main focus has lead to me being happier than I've been in years, and I was pretty happy after I got into physics. That's WITHOUT a teacher, completely taught by YouTube and my stubborn persistence. Online is hella easy, not gonna lie, you get infinite tries and it tells you the correct answer after 3 attempts, then there is a step by step guide on how to do every problem. But at the same time, I've not had a TEACHER, it's so wonky. But I've finally gotten to the REALLY fun stuff, and I wanna keep going. I wanna drop every other subject and just focus on mathematics the rest of my life. What do I do guys?
    4
  15942. What about people who left maths at school years ago And wanna start again Any tips
    4
  15943. Math and philosophy go so nicely together! Now go review Frege or Russell :)
    4
  15944. Very very very very very good, thank you very much.
    4
  15945. THANK YOU!!!! I needed this video so badly 😅😅 just about to start the second part of abstract algebra and surely i have to look to some of this books.
    4
  15946. Philosophy of science.
    4
  15947. So how to solve math problems quickly? Step 1: Practice 40 hours a day. Step 2: If you can solve it slowly, you can solve it quickly.
    4
  15948. I love your channel ❤️. From algeria
    4
  15949. I was mostly caught in the limbo between showing all the steps - and running out of time - and speeding through test problems by not writing down steps, skipping those I felt were obvious. Results: On the one hand I ran out of time and didn't finish the test, so marks off the score for that, and on the other, marks off for not showing enough work. Never did get a handle on what was considered the right amount of "shown work." So I accepted that there was a fair chance of not finishing any particular test. So I did (and re-did) all the graded homework to hand in and all extra-credit problems that were given and had a crack at any projects offered, almost all of which could be done in my own time. I also learned straight away to visit the Mathematics offices. I found almost all of the professors willing to help explain things, if they had the time, even some of the senior professors that taught courses that I had no clue what the courses even were. It was a fun time, working on problems that sometimes puzzled us all, a few students and a few professors around the table. All that said, I did get good grades because I tried and tried and never gave up, just like The Math Sorcerer says. There were a few profs I avoided since, as a "non-traditional student" I had a low tolerance for unnecessary BS and, on occasion, said so. . .
    4
  15950. I liked Thinking Fast and Slow by Daniel Kahneman however its not a book on trading. The prospect theory part is the money maker. Profits never feel like theyre enough and losses always feel worse than they are. So overcoming those two irrational thoughts helps minimize losses and maximize opportunity
    4
  15951. 2:19 happens to the best of us
    4
  15952. Yes I've heard about it and learned about it... use case: celestial navigation and astronomy.
    4
  15953. Thanks, I didn't know how to deal with that pesky constant term. Clever argument.
    4
  15954. Hey Math Sorcerer, you already covered this same book a year ago, your video is titled "Electrical Engineering Book from the Past".
    4
  15955. I love Schaum's Outlines, they got me through a degree in Physics 40 years ago. I highly recommend them as an addition to learning.
    4
  15956. I love your videos. However ☺️ you do seem to be in a different timeline than me. Kurt Cobain, "back in his day". Damn you make me feel old lol. You do it with books too. This ancient book from 1968... I'm like wait one damn minute now. Anyway, I appreciate you, thanks Doc.
    4
  15957. Found multivariable calculus very hard.
    4
  15958. Your videos are great. I really enjoy watching them.
    4
  15959. Mr Sorcerer, have seen this question previously, but never thought of it in the form of area of circle. Thanks for putting it up. Keep those questions coming !! God bless you !!
    4
  15960. 4:27 that matrix gave me anxiety
    4
  15961. Gilbert Strang's Linear Algebra book is very practical as it's oriented mainly towards engineering students, whereas this is book is mainly for Math majors but also "helpful" for graduate engineering courses.
    4
  15962. this was helpful, thanks
    4
  15963. Give a best book for number theory in less price
    4
  15964. Fourth
    4
  15965. Congratz
    4
  15966. I wonder what u do as a job and how much money u make , when u know so much math lol
    4
  15967. Can you make a video like "first time you teach math vs 100th time you teach math"?
    4
  15968. And remember guys always take care of your health, work out, eat healthy and stay hydrated. I can't tell you how this turned my life around when video games slowed down my poor performance at my studies and life in general but doing what I mentioned from above, helped me alot to be motivated and focus on my studies, learning a skill like becoming a software programmer while I have a full time
    4
  15969. Beautiful view
    4
  15970. Terence Tao is my favourite mathematician :)
    4
  15971. This vid came when I needed it the most damn. I finished all of my tasks except my math quiz cuz I'm procrastinating lol
    4
  15972. Grades do matter a lot. You cannot get into higher level without passing grade. You cannot get a job in related field without one of the top grades unless recruiter is your uncle.
    4
  15973. 4:09 I too, smell everything I love I own a telescope and when I get new accessories...they all just smell "astronomy" and anytime I am out with my telescope I can faintly smell the eyepieces and I just feel at home
    4
  15974. Whoa! Me too!
    4
  15975. Solving Bernoulli equations
    4
  15976. THANK YOU SO MUCH!! I was REALLY REALLY struggling in my algebra class with this-
    4
  15977. One important thought is, that no one needs to be excellent to be excellent. Any topic is so big, just time and interest alone makes you an expert on an island.
    4
  15978. This makes it very clear. Thank you.
    4
  15979. You got this!!!💪
    4
  15980. I’m a simple viewer. I see the goat post a video, I watch and I like. 😊
    4
  15981. such a great video. Thx!
    4
  15982. Note that between pages 619 and 662 in the fourth edition of Spivak's Calculus are answers to selected problems from the text.
    4
  15983. WAKE UP ... * proceeds to sing Chop Suey*
    4
  15984. I loved your take on this topic and I'm really glad i stumbled upon this video. I've been having this same question for about some time now, and even i was confused that "what is my purpose in life?" I relate to the person who asked this question alot, so your opinions definitely helped me clear some of my doubts and yeah I've got some deep thinking to do now haha.Thanks!
    4
  15985. difficult T_T
    4
  15986. The wizard arrived precisely when it's meant to.. -Gandalf the great!
    4
  15987. thanks, helped me out
    4
  15988. @06:28 Sichuan University, department of computer science, foreigner resources office. una copia china ilegal 🤭
    4
  15989. No matter my imperfections, I am only as good as God has created me. 😀
    4
  15990. Derek J.S. Robinson's book is tough for Abstract Algebra
    4
  15991. Oh my god! How did you do that?! There were like 5 unknowns! /s
    4
  15992. thanls a lot
    4
  15993. dang this is way easier than solving this problem using parts. my teacher had us solve this one by using parts and it was very annoying to say the least
    4
  15994. You've only been to Chick-fil-a once?
    4
  15995. Thank you so much for a detailed step by step explanation. This really helped. Great video!
    4
  15996. You are absoultely right!
    4
  15997. Thank you ! This was very helpful my teacher doesnt explain it this well !!
    4
  15998. Every Facebook group for Math I find is full of people looking for others to do their schoolwork for them! 😫😭 Can anyone recommend a Facebook group for people who just want to feel less lonely and connect with others who are passionately curious about math? 🙏🙏🙏🙏🙏
    4
  15999. Thanks Jeff Bezos
    4
  16000. Actually, this one "Can you tell us some more stories about your dog?" is quite funny, because: I had a math teacher at college (I have been studying computer science for 4th year) and she has a dog (a dachshund) and she really loves dogs. And her dog was always at her office with her and I saw how the dog was sitting on the table and drinking the tea :)), but every lesson she was basically at least 15mins talking about her dog, what the dog was doing, how the dog is great and some funny stories what happened with her dog (she bought a IQ test for a dog and she found out that her dog is totally stupid, but she still loves her :)) ) and she even had her dogs barking as her ringtone :))), So actually, we students were actually asking her whether she could tell use some new stories about her dog and she never refused :D but usually we did not even have to ask her :D (sorry, but it was really more entertaining than math :D)
    4
  16001. it helped a lot...love from India!!!
    4
  16002. this is a good resource to self study
    4
  16003. Well, obviously its Isaac Newton, that person in the comment section clearly states it every video.
    4
  16004. Of course you can learn maths on your own. I got a degree in maths from one of the top-five universities in the US and I never went to lectures.
    4
  16005. very interesting video!, gotta keep practicing !
    4
  16006. First ❤
    4
  16007. My stats class sucks. Thanks
    4
  16008. When we was learning some basics about complex numbers in the high school, I was thinking of a formula for cos(nx) and I discovered Moivre's formula by coincidence, but then I found out that it was already discovered...
    4
  16009. Do you have any tips for finding departments that have active research in particular areas? Obviously, if someone is interested in algebraic number theory for example, they could just google "University of X algebraic number theory," but is there a database or anything where you can type in a topic and it will pull up all the schools w/ active research in that topic? Thanks.
    4
  16010. Thankyou..
    4
  16011. Thank you so much, im from Italy and in my geometry course my professor only gave us that definition without demonstrating it now is more clear.
    4
  16012. G H Hardy said - "Pure Mathematics is on the whole distinctly more useful than applied for what is useful above all is technique, and mathematical technique is mainly taught through pure mathematics." I wanted to quote this after watching the video. Hardy sir had very elusively discussed and explained on the above in his famous book : A Mathematician's Apology.
    4
  16013. Stop Trying to Understand Math? Way ahead. I already stoped trying to understand math in 2nd class.
    4
  16014. 🔥🔥🔥
    4
  16015. Very nice! Thank you
    4
  16016. I did read the College Algebra book from Openstax, a bit, but it seems a bit too easy, good for beginners but not for learning advanced algebra problems
    4
  16017. U are AMAZING! I scratched my head for 1 hour and then you SAVE MY LIFE. Thank You and keep up the good work!
    4
  16018. Brilliant comedy!!! Thank you!!
    4
  16019. No. You miss 0% of the shots you don't take.
    4
  16020. Not sure if it was covered before but "Thomas' Calculus" 12th edition helped me a lot when I was taking Calc in University.
    4
  16021. Ah yes, mathematical entrepreneurship
    4
  16022. That's true. In India, our teachers always told us that our maths level is very standard than other countries. And yes, the other countries maths is also hard but here everyone is always expected to know the basics of maths.
    4
  16023. do you know any good tips for turning mathematical notations into code or vice versa? i have been looking at quite a few math papers on geometric shapes or plotting, and they feature code and math.
    4
  16024. After 3 strokes, these are exactly the videos I need first thing in the morning. You erase a lot of fog. (:
    4
  16025. Thanks I'm 20 and your advice helps me a lot
    4
  16026. I don't see why people don't like, it's pretty straight forward. Oh well thanks sorcerer :o)
    4
  16027. A few days ago I bought a little wooden bookshelf, and then the very next day I found an exact copy of that bookshelf dumped by the roadside, amazing, now I have two bookshelves
    4
  16028. Okay, granted the problem you did was not that difficult, but it still felt great being able to follow along step-by-step. Especially considering I haven’t taken a math class since the late-1970s.
    4
  16029. Damn dude
    4
  16030. It's obviously about finding x.
    4
  16031. Make sure you have a slide rule!!
    4
  16032. I studied topology before I took my first real analysis course. The grader of that course hated me! (I would do my assignments in terms of 'open covering's and the like.)
    4
  16033. Hammack's book is legit awesome.
    4
  16034. I ate some pie...nice 😊
    4
  16035. IMO, this is just a terribly naive view on why colleges and universities exist. It has absolutely nothing to do with “self study is too hard therefore…” and everything to do with Gatekeepers, status quo’s and even material gain. To pretend it doesn’t is just intensely disingenuous. Loved your video though 👍
    4
  16036. thats so true
    4
  16037. I'm 21, finishing my degree in international business this year with a concentration in economics. I started to self-study math and tested out of prerequisites for my economics classes. I'm so tempted to get a second bacheloes in mathematics or at least an associates degree. I originally did it to be more competitive for grad school but I've truly fallen in love with mathematics despite dreading my math classes for years. I never got to fully appreciate mathematics until I decided to self study. Everyone has been telling me that a second degree is a waste of money and time but I really want to do it.
    4
  16038. Those woods look amazing. I need to get outdoors, been doing math for the past 3 days straight.
    4
  16039. Wow Calderón, I'm also from Argentina like he <3.
    4
  16040. Curves for days!
    4
  16041. Excelente <3. Muy buena colección.
    4
  16042. Yknow looking back at my math classes in high school, im realizing that I used to do questions very fast, which coincidentially was when I had my highest math scores.. Maybe I need to start bringing S P E E D back into my life lol.
    4
  16043. Very helpful, thank you!!!!!!!
    4
  16044. A man of culture I see
    4
  16045. 👍
    4
  16046. maths is power..... 💯💯💯💯💯💯
    4
  16047. Could you do a book review for Spivak's Calc on Manifolds? Love ur channel btw keep it up.
    4
  16048. aight imma destroy those tests thanks bro let's go
    4
  16049. Am not seeing the list of beginners books. I think beginners should start at arithmetic. Because i need to know how to add and multiply fast in my brain.
    4
  16050. In Greece we learn some things that are university level in the US in highschool
    4
  16051. I found my self, I watch many YT videos. More resources (different methods) = more confusing.
    4
  16052. She'll always be clean around the edges with that dust jacket... Until he takes it off.. 😅🤣
    4
  16053. Cringe fr💀
    4
  16054. Mir is pronounced ‘meer’
    4
  16055. Thanks so much for this! I definitely have a habit of being distracted when i work. i find that when i see some maths problems and i give up usually after 5 seconds, i then give it another 5 seconds until i look at the answer... i try abit harder. I know though the more answers i understand the larger my domain of skills becomes to reference problems and solutions for future problems. I have to kind of cleverly challenge defeating thoughts that i wont be able to do this. By the way, your calc 2 on udemy is great, you teach with great confidence, maturity and humour, its really a pleasure to watch.
    4
  16056. I was so confused about all these terms and have been watching a lot of videos until i found this one, now everything is clear for me .Could i get the name of the app you're using?!
    4
  16057. I have a tough question for you:- Which branch of mathematics do you like more, Discrete or Continuous? For me,both are notoriously interesting but I think Continuous Mathematics gets the edge!
    4
  16058.  @TheMathSorcerer  interesting! I guess solving continuous mathematics problems is not as "fun" as solving discrete math problems, but for me, the impossible tasks that continuous math covers by applying beautiful approximations and concepts is just mind blowing.However, solving continuous problems is usually tedious, and Discrete Math is much better in that form.
    4
  16059. this guy is staring at my soul
    4
  16060. Can you please suggest some Physics book, College Level or AP Level, both Trig and Calc based? More like a self-study. Thanks.
    4
  16061. Hii sir
    4
  16062. I love this channel so much, it’s my favorite educational channel ❤
    4
  16063.  @patato5555  lol!
    4
  16064. The movie the sorcerer talks about is "the man who knew infinity". The main dude in Green Knight acts as Ramanujan.
    4
  16065. Which program do you use?
    4
  16066. Hi, if you are taking ideas for videos from comments, I might have an interesting subject. Unique proofs and how you come up with them.
    4
  16067. praise the lord and merry christmas math sorcerer
    4
  16068. I know that when I am retired (or hopefully before that), I'll take time to Math again without any pressure, just for pleasure 🙂 I really do enjoy your videos, listening to your clear explanations and especially when you're writing some calculations with your pencil! 😎 Apparently, I'm not the only one 🤓
    4
  16069. thanks
    4
  16070. Hi Newton
    4
  16071. Damn, everyone's coming to stocks the last few years, what a weird world we live in.
    4
  16072. Amazing! Most people don't even begin writing a book. Although they have an important life story to share, and have found and mastered a method, their personal method, to overcome hardships in life. Yet, there is something that holds people back from writing a book. One of those things is hard work. You have to put in some serious effort to keep doing what you want, keep writing a book, even if other things are far more enjoyable at the very moment. Collecting ideas and making a map (like for example a mind map) is just one of those things, which, at the beginning seem to be very easy. Your brain is overflowing with ideas at first. You probably start making a mind map, which only grows bigger in size. But then, the hard work really begins. You have to work through your ideas to put them into a book. Obviously there should be a logic way how you order your ideas. You have to decide how to build up the knowledge you share, for the reader to follow your thoughts. I've failed writing a book. Granted, it was ment to be a fictional story and I was still just 12 or 13 at the time of writing it in my summer holiday. I wrote 3 or 4 chapters and then stopped. Now, as the time of writing this comment it's the 9th of January 2025 and I'm 32 years old. My perspective on writing a book is the following one: If I would write a book, I'd like it to be a book which solves a problem. A book which gives readers an explanation about how to understand or overcome a specific problem. A book which shines light from multiple angles in hopes that one of those angles is the explaination the reader has searched for. The closest I've gotten so far was a presentation I've made for a group which was like a course, but a course for finding work. Everybody had to make a presentation about anything they liked. I chose to teach them how to do a curve discussion. I wanted the audience to start from nothing and learn how to do a curve discussion (which is the hardest part on the A-level exam for math. After that exam, you can attend university). (For example: You are given an easy polynomial function of 4th grade f(x)= ax^4+bx^3+cx^2+dx+e ) a,b,c,d,e are some random given values (mostly whole positive numbers Z ) Find the 3 or 4 derivatives, the zeros, the maximum, minimum, describe the curve. Make a tangent line and so on. The first coordinate of a point is given (for example (3;y). find the "y" value. Another function (a line g(x)) is given by 2 different points. [for example [6;12][5;13]] Make the line equation (g(x)= kx+d) and find the point of intersection between the 4th grade polynomial function and the line only by calculation. Sketch the curve f(x) and draw this line g(x). Last but not least, an intervall is given. Find the area under the curve between 2 specific given x values [val1,val2]. I learned by doing that presentation, which I thought was going to be around 30min, that the audience needs time to process new information. We had 2 breaks during this presentation. And it wasn't just 30min long. It felt like being 30 min long for me. But it actually was over 2 hours long. I didn't realize that, until the course instructor pointed it out to me that the course is just until 1pm and I'm way over the time of 30min, which was the reference time for each presentation. It's amazing how time flies when you're really interested in something. Writing a book or even a math book is very very challenging. I'm proud of you that you've accomplished it! I'd like to know if you'd like to tell us more about the process of writing your first and now your 2nd book. What were your thoughts before starting to write those 2 books? Which difficulties did you overcome and how did you overcome them? Did you experience a learning curve and was it easier for you to start writing your 2nd book compared to your first one? What were your thoughts and feelings when actually starting those 2 books (The first sentence, how did you start)? How much did you write when starting (was it a whole chapter, or even 2? or did you make a Mind Map or something similar at first to prepare before starting to write?) If you want, you could share some insights about your experience of writing those 2 books. Congratulations!
    4
  16073. Straightforward and very clear. Well done sir!
    4
  16074. 👑🎗️
    4
  16075. Mans pumping out videos
    4
  16076. Putting points in strength for a sorcerer? He's becoming a battle mage, right?
    4
  16077. thaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaanksssssssssssssssssssssss
    4
  16078. equally important to knowing the subject is the ability to understand the emotional state of others which will also give you clues to their understanding of the material let alone any chemistry issues they may have with you so as to adjust your attitude. remember you are teaching people and not having a vanity fair of your ego ;-)
    4
  16079. Very well explained and easy to follow, it is a good review for my second real analysis course I am taking this semester. Thank you :)
    4
  16080. La única matemática que sirve es la de lapiz y papel simple
    4
  16081. The authors discuss their choice of font in the intro.
    4
  16082. for me its because every friend I have hate math and loved sport without giving any reason, they hate it just because and I was like "Yeah me to BRO", but I suck at sport and stopped playing with them, and then I gave math a try I really hooked up with it I didn't understand why people hate it, I started with calculus and now am really into numerical analysis, after 2 years of learning I have known as the genius friend in our group
    4
  16083. Good video Math Sorcerer! I had no idea that Noerthers theorem involved Calculus of variation, which is something I'm barely learning about right now. I look forward to learning about her work.
    4
  16084. I see Wizard of the Coasters.
    4
  16085. Yes that book is widely used over here, but also the mir books for high level math problems.
    4
  16086. I am from Brazil too. I love this channel!
    4
  16087. I'd also say politely that dude was badass😂
    4
  16088. Good friend: don't forget to blink sometimes. 😌
    4
  16089. I love how short and encouraging his videos are!
    4
  16090. Good afternoon, do you have any videos about
    4
  16091. Hello friend! I just finished one of your videos and another one pops up. Loving the content, especially the beginner stuff. I blame you for the fact that I have MULTIPLE algebra, geometry, precalculus and calculus books complete with respective solutions guides. I’ve actually had to buy more bookcases. I am enjoying taking a more leisurely stroll through mathematics although I probably spend several hours throughout the day doing problems, watching instructional DVDs, YouTube videos, etc. Keep the content coming. Algebraically yours, uss.
    4
  16092. First
    4
  16093. Is this the multiplevariable one??
    4
  16094. Professor I apologize for this being unrelated to the video, but I was wondering if you had any advice on taking the GRE subject exam?
    4
  16095. Excellent job my mentor If people do not believe that mathematics is simple, it is only because they do not realize how complicated life is. Here is simple way to replace calculator in our life. Please comment on ours.
    4
  16096. I will never get sick of seeing your enthusiasm for math! Always makes my day
    4
  16097. I also went to Computer Science and while I love all that has to do with computers, taking math class after math class raised my interest in math and physics, and I hope to one day get a Ph.D. in mathematics. I'm just happy Computer Science made me realise my interset in mathematics
    4
  16098. Amazing!
    4
  16099. I can understand and relate what you mean and say but wish to see more video and hope to understand more but wish to see more but thank you.
    4
  16100. Please review “THE ART OF COMPUTER PROGRAMMING“
    4
  16101. Hey quick question, is Spivak's Calculus considered an advanced calculus/real analysis book or rather is it simply an applied calculus book with a bit more emphasis on proofs than most others?
    4
  16102. The reason he takes eps/2 is so that eps/2+eps/2=eps which is the only way to complete the proof by it's definition: |s_n-s|<eps
    4
  16103. A couple of suggestions for people struggling with procrastination: 1) Get in the habit of studying a little each day. Start small, say, 30 minutes, and slowly add time. If you do it long enough, ending your day without getting your studying in will feel about as unnatural as going to bed without brushing your teeth. 2) Try to think of what you do today as doing a favor for your future self. That mindset really helps me get motivated to get stuff done (schoolwork or otherwise).
    4
  16104.  @TheMathSorcerer  thanks for such a thorough response. Appreciate it
    4
  16105. Thanks for recommendation. I am recently compiling a list of mathematicians' names in a chronological order in my Google Docs. I get inspired by history. I wish I could take time machine and hear them talk about maths.
    4
  16106. Don't forget Kurt Godel, Alan Turing and Alonzo Church.
    4
  16107.  @GastevAleksei  The list could go on for pages, those are the ones that came immediately to mind lol. I left many greats unnamed, Zermello, Klein, Hausdorff, Hardy, Baire, Jordan...lol.
    4
  16108. God dam I never imagined maths could be so good after watching this video I will now read this book I totally appreciate your work
    4
  16109. We don't deserve this man
    4
  16110. Perfect video, you nailed it!
    4
  16111. Please make a video about how to find textbooks cheaply. Because the books you talk about in your videos are very good. But sometimes when I go on the internet to buy them and I discover them to be very expensive, I just give up on buying them.
    4
  16112. Love how Google auto generates text for “spinors” as “spin wars”.
    4
  16113. Thank you .....You helped me (from India)🙏🤗
    4
  16114. Sounds like a flex. I think he has to remember that learning is a process. We don’t learn higher level math over night. Maybe he’s cramming.
    4
  16115. I don't know how this ended up in my recommended but oh boy, I'm so glad that it did.
    4
  16116. Seguramente ya te graduaste, porque cada vez es más fácil la U aquí. Yo ni siquiera estudio ingeniería, sino agronomía, y en calculo paso la mayoría porque los profes bajan la escala y hacen ejercicios simples para que no reclamen.
    4
  16117. I’ve taken pre-calculus, calculus 2, multivariable calculus twice, and moving on to the last one differential equations
    4
  16118. Tomorrow is my maths exam . A lovely comment from you will make it obvious to score good grades professor.
    4
  16119. You’re so cool
    4
  16120. Best topology book sir...
    4
  16121. Hi , im a fan. you should add a fun CS section to boost your views. Things like how to prove that no algorithm for finding two largest elements in an array can do this in less than n + [log2 n] − 2 comparisons.
    4
  16122. Awww don't be lonely! I'll be your friend 😁 I'm a plant nerd and I approve this message 😁
    4
  16123. Thanks, and you have helped us a lot :)
    4
  16124. Although it's been a year since I've had any math classes, i still enjoy your videos.
    4
  16125. First
    4
  16126. Thank you❤
    4
  16127. I'm gonna be using this book in my abstract algebra course, really excited!
    4
  16128. Needed this right now!! Thank you so much. Your videos are so helpful! :)
    4
  16129. "can i take your sister to the movies?"
    4
  16130. My “Forgotten Algebra” textbook is being delivered today! Almost about to start down the path!!
    4
  16131. you can imagine the nightmare it must have been to typset math books before computers, with only linotype or hand set.
    4
  16132. 3am that's hits hard
    4
  16133. Thank you so much sir for sharing.
    4
  16134. You are so positive. I’m older-40’s and never really learned math. I hate math. I never got my BA because I couldn’t and didn’t TRY at math. Your channel is inspiring-makes me want to try and understand what math is- besides just numbers. Thank you.
    4
  16135. Often I miss the application, or what is it that I have to solve. It would make understanding and retaining knowledge much easier.
    4
  16136. And we all know why! Infinity can make anyone go insane if you think about it enough!
    4
  16137. Luck is the difference between passing and not passing a class.
    4
  16138. Let me guess. The guy that got the legitimate A was the same guy that took 4 graduate courses in math. The guy with long straight black hair, lol.
    4
  16139. Hey he looks like Jeff bezoz
    4
  16140. I want the 5 rules for highly successful self studying
    4
  16141. Thank you, Newton.
    4
  16142. XD
    4
  16143. I barely passed Calc 3 and im in diff equations right now. But I agree with you 100%! "C's get degrees!" HAHA that's what i'm sayin' dude!
    4
  16144. Wow this advise couldn't have come at a better time. Go stuck into a muddy predicate logic question. I give up now. You're always to the rescue, thanks
    4
  16145. you have a degree in Physics too?
    4
  16146. Less than 1k to go until 1m subscribers
    4
  16147. Bellísimos todos!, en español solo conozco Rudin.
    4
  16148. Sir , why do you act in front of camera like that like you're staring into my soul from the start of the video
    4
  16149. I remember in my first year of university, we covered everything we did in high school calculus in a single 3 hour class. (Really we did it in the first 2 hours and the 3rd hour was already new things) so I don't doubt that it could be done. I don't have the time to watch this right now but I'm interested to see your approach to this, and how much you are able to cover. This is a really interesting idea though.
    4
  16150. I'm just trying to pass calc 1
    4
  16151. This is a classic!!! :)
    4
  16152. That's an interesting curve, parameterized by arclength, at 42:00 . r(s) = ( 1+ √2/2 s ) i + (1 - √2/2 s )j . We can graph it in all its glory on desmos (thanks to it being 2d) https://www.desmos.com/calculator/hgmj7knore It looks like our curve starts at the point r(0) = (1,1), and for positive s>0 , r(s) traces out a line with slope of -1. When we travel s=√2 units, which is the length of a diagonal, we would expect to reach the point (2,0). And we do since r(√2) = 2i + 0j.
    4
  16153. The book smells so good! whiffff
    4
  16154. just searched up the previous owner and the dude really is successful
    4
  16155. There was too much need of maths channel suggesting how to approach any topic ! Most imp factor of maths.
    4
  16156. I am spanish and i can say you speak spanish quite well.
    4
  16157. Going to test Tuesday :3 wish me luck and thank you very much!!!
    4
  16158. this is exactly the explanation i needed when i first hit the topic of functions at school. i was desperately searching for answers on "what the hell are these functions? what do they mean? w h y?" that made sense to me and literally nobody around was capable of creating a decent explanation. damn i'm happy i found your channel! but still, why don't they explain the whole concept at schools tho?
    4
  16159. Calculus is a race of the strong and persistent but inevitably it will give its secrets up..
    4
  16160. Great video! Couldn't find a shorter example of reduction of order as good as this one. Most of these are 15 minute long examples that wont be on my 50 min exam.
    4
  16161. TY for your work, Math Sorcerer! I think you do what people need.
    4
  16162. :D good encouragement, but it really takes more than just time when you reach research-level maths ;).
    4
  16163. It’s a fine community of positive upbeat people that want to learn the secrets and wisdoms of math! Lesss go!
    4
  16164. Those yellow pages man...🤩
    4
  16165. Thank you so muchhhh :")))))
    4
  16166. Hey Math Sorcerer, I liked your videos about math before, but didn't know you were into trading as well! Really agree with your methodology about trading, and I would be interested in see more trading videos! Some of my recommendations: Overall - Alpha Trader - Brent Donelley (Great trader, great writer, best overall trading book for me) Biographies - Market Wizards Series - Jack Schwager - Trading Sardines - Linda Raschke Podcasts - Alphamind - Chat with Traders
    4
  16167. Even if entering the "zone" takes time, it pays off because then you can do math for as long as you want
    4
  16168. thx bruh
    4
  16169. Calc 3 in my exp was simply Calc 1 in 3D....
    4
  16170. Thanks for the review. I have yet to find something similar in physics, do you have any suggestions?
    4
  16171. This book belonged to Canadian mathematician Peter Borwein who died in 2020 at 67 years of age.
    4
  16172. This is great advice, and goes hand in hand with your other video about doing a little bit every day. Seeing the progress is exciting and motivation
    4
  16173. Hardest class this semester, Advanced Calculus (Intro to Analysis). Hardest class I've taken ever, Mathematical Structures (First proofs class). Most interesting class this semester, Applied Computational Methods. Most interesting class I've taken so far, Mathematics of Cancer.
    4
  16174. it really helped thnx dude LOVE FROM INDIA
    4
  16175. I disagree. The foremost calculus book at MIT in the late 1950's was Calculus and Analytic Geometry by George B Thomas an Addison Wesly publisher. I used it for 3 semesters before getting to Differential Equations. I am a Chem engr retired for 20 years. ,
    4
  16176. Well said sir.
    4
  16177. Also, remember that life will become harder as you grow older. This is inevitable. You must use your time wisely and study using the resources at your disposal. You're still very young and have a long way to go until you reach your 30s! You can reach the summit of Mt Matherest by then!
    4
  16178. Really helpfull, You helped a person from Colombia to get an extra point
    4
  16179. a=e^ln(a) 0=e^ln(0) ln(0) is undefined so does e^ln(0) ⇒ 0 does not exist. This proof and mine is wrong because we are turning it to a undefined thing but if you do something "valid" and get "invalid" then yes but here no.
    4
  16180. Just be disciplined. He mentioned a good study space, which is completely crucial because it'll help you focus, however, if you are truly determined and have ambition, you could study through an earthquake.
    4
  16181. I’ve applied to 5 schools in astronomy/theoretical physics. I’m going for a M.S. first due to not having any research experience. Wish me luck! I haven’t heard anything back yet.
    4
  16182. Mass Maritime grad and trig tutor. Awesome refresher! I think we learned from Spherical Trigonometry with Naval and Military Applications. I wish I kept the book. Nautical miles, kids.
    4
  16183. Suppp math sorcerer
    4
  16184. your dog is faster than me!!!! you are awesome!!!
    4
  16185. Getting at least some physical exercise as well as sunlight and fresh air is such a game changer. Like with enough sleep you just feel like you got rid of some slag in your body. But you need to find a sweet spot. If you invest too much too quickly you need to recover too much. If you do too little you won't get the full benefit. In my sweet spot, I´m far more resilient to any kind of fatigue and simply get my stuff done before I feel tired. Processed (fast) foods, bad sleep habits, and insufficient exercise ... it`s odd how most students are prone to them even so they hinder their true goals ...
    4
  16186. 1st just 40 seconds after you posted it! watching!
    4
  16187. its buenos dias my dude buenos dias, love your content though
    4
  16188. The guy on the cover of the Algebra book is not Aurelio Baldor. I am sure Aurelio Baldor is not on the cover on any edition of his books. (Aritmética, Álgebra, and Geometría y Trigonometría). Note: ax + bx + ay + by You were pronouncing the Spanish letter "y" as in the Spanish version of the word "and". The letter pronunciation is the older "i griega" or the now officially common "ye". Edit: Yes, the three books are the standard for Spanish speaking countries, which also helps in vocabulary augmentation in Mathematics.
    4
  16189. Thanks, I’ll make sure to take one more class every semester
    4
  16190. Thanks alot this helped alot i will tell more people to subscribe to your channel 👏🏼
    4
  16191. Truly motivating! Thanks man!
    4
  16192. Speaking from experience, it’s more about whether or not you’re thinking about the subject in the right way. This is how you develop the “feel” for it.
    4
  16193. Is her reencarnation
    4
  16194.  @ricardomejias156  u mean Newton was a girl😂😂
    4
  16195. Thank you!!!
    4
  16196. I love these videos, thank you so much!!
    4
  16197. What in abstract algebra do you like math sorcerer? (Groups, rings, Galois theory,)
    4
  16198. Everytime I m stuck with a doubt....I get a solution here....thanks a lot....
    4
  16199. Thank you for your kind words professor, they are really needed in these times.
    4
  16200. first
    4
  16201. Teacher matters.
    4
  16202. For confidence sake, I always banish fear of failure from my mind. I have been long doing that in art and I do the same in anything else like maths. Banishing fear becomes a mental habit. When I make mistakes, I start again. More mistakes, I try again and again and again. Persistence pays off at the end. I consider mistakes as part of learning.
    4
  16203. This make so much sense and can relate what your saying and mean and do hope to understand and view more video
    4
  16204. Great explanation
    4
  16205. Thanks
    4
  16206. He creado un servidor de Discord para aquellos que les guste el rollo de "self-study"! Muchas gracias Math Sorcerer, me has motivado a buscar más gente ♥
    4
  16207. How about 15 reasons to study Math.
    4
  16208. Prepare yourself on your own and/or at community college by studying math, physics, biology and chemistry together. Jump around through these 4 subjects so that you can eventually see the connections between all of them. Organic chemistry will require the most preparation, so after learning general chemistry, make yourself as familiar as possible with organic chemistry before you need to take it for a grade that goes on your transcript.
    4
  16209. show that (2^n) is not convergent. please make another video
    4
  16210. How to learn calculus
    4
  16211. You have just proved that Mathematics is interesting, beautiful (and useful)!
    4
  16212. Math Sorcerer inspired me to get an Algebra & Trig book and work through it. I got "Algebra and Trigonometry by Stewart, Redlin and Watson for about $15. 920 pages. Currently on page 535 and trying to work through every odd numbered exercise and take notes. Thanks Math Sorcerer 🧙🧙
    4
  16213. Duuuuuudeeee! What a pleasant surprise of content switch up! Haven't been on your channel in almost 2 years. You helped me finish you my mathematics degree in 2021, now fitness motivation! You're the man! Fitness is so overlooked for the clear mind benefits. When your nose is in the books with equations, proofs, code, etc its hard to stay in workout routine, so this is such helpful info. Former NCAA Track/XC athlete, so I really appreciate the entire message and couldn't agree more! Didn't make time for the gym while studying recently, so I've just been doing lot of push ups and air squats by my desk. Gotta start getting back on track haha Thanks for this motivation!
    4
  16214. My tip I would give for calc is to mess around with graphs in tools like Geogebra or any equivalent. Seeing the function and how they work together with some real like examples boosted my understanding of derivatives and integrals X100
    4
  16215. Math really requires a lot of sacrifices and perseverance. I even gave up my social life for the sake of learning maths. People are having fun while I'm just at home studying it. You will really feel you are missing out.
    4
  16216. I flip back and forth between my algebra books, trig and calculus. Those were definitely insightful points Math Sorcerer :)
    4
  16217. Same
    4
  16218.  @integralboi2900  hhhh
    4
  16219. SAME
    4
  16220. I feel you
    4
  16221. 1st view
    4
  16222. I love your kind of this videos
    4
  16223. If you do not already you should get a small whiteboard, dry erase markers, and an eraser so you can teach and also practice solving math problems from home and you also might be able to work from home if you do that. Being able to work from home Is the best thing about someone becoming qualified to become a teacher at any level.
    4
  16224. 🤔 I am stuck on 2+2=5
    4
  16225. In my little experience of student, this book looks intimidating! Took a course last year based on "basic algebra 1" by nathan jacobson and that was hard to digest, if there wasn't professor to explain the concepts i doubt i would have understood anything from the text only. This textbook reminds me of that: dense as hell, and few excercises to work with. A suggestion: I took another course of abstract algebra, and the book we used was "algebra e matematica discreta" (algebra and discrete matematics for engineers, mathematicians ecc.ecc), sorry it's writte in italian (i don't know anything about the eventual existence of other versions in foreign languages) but in that book there's a LOT of exercises, step by step solutions, and so on. I found it tricky by the first time i approched it, some years ago now, but i keep coming back to that book, soon or later, to check some basic results, and i find it super super clear. More than that i personally approve the choice of arguments that are contained, some other results like sylows groups may be difficult for a beginner
    4
  16226. Can't math majors also work at engineering companies?
    4
  16227. Nirvana Unplugged was so good.
    4
  16228. beautiful place ! where is it ? great advice too ! thanks
    4
  16229. Just ordered it for $6. Couldn't say no!
    4
  16230. Great Videos as always - wonderful idea - gonna give Judson's Abstract Algebra a go - it's been lying about for a while & I knew I needed to get after it - this is a great approach to getting the task done. Superb idea. Happy Christmas to you & to all who read this comment today.
    4
  16231. From newton himself.
    4
  16232. Sound advice on learning Mathematics.👍🏼
    4
  16233. I didn't like it, to much applications for me. Do you know some good theoretical book of Differential Equations? The Tom Apostol Calculus Book have one chapter on Differential Equations, it's pretty good, but, it's just one chapter, not a book.
    4
  16234. It's crazy 😂 I always consider maths book as my best friend but this book is crazy like it's talking to me I really want to become as crazy as you're for maths hope it happens soon❤ I really want this book I'm from India how can I get this
    4
  16235. This is a good video. Well done. Too bad that these videos get no views. :(
    4
  16236. 😱
    4
  16237. Just did my Final for Calc 2 with a 100% overall in the course! And that was today, so my biggest Math accomplishment? I'll tell you my biggest failure, I spent 3 years in a row acing pre-algebra. I sorta failed myself by not complaining and pursuing something new when I was younger. I'm 17 now though, and a senior in highschool, I finished the highest level course my school is really allowed to send us to. Uh I got the highest score on the readiness for calculus test they administer that anyone has EVER gotten in my school. That was without taking trig/pre-calc. Maybe one of my calculator programs, deriving the quadratic when I was really young? That was pretty fun. Ooh! When I was in my freshman year in chess club, my school's math teacher (singular because my school sucks) was showing someone how to evaluate a derivative the stupid way. And they said something like it was basically deciding by zero, which is kinda BS, but I won't judge. I was able to do that after watching the math teacher do it, and that felt pretty awesome. Teaching a 14 year old math was pretty fun too. He's only 14, but because I tutored him since we were in the same class 5 years ago, he's currently also doing Calc 2. He attributes that success to me, that was a pretty big accomplishment. I finished my Algebra Final last year with the only 100 percent, and I was also the first to finish, even before the ones who just BS the whole test. Getting a perfect score on the placement test into MAT 221 (The Calc 1 Analytical Geometry class at the college I'm taking it from) felt pretty good. I have a lot of accomplishments actually. I did a couple math Olympiad problems in a book once. I got em all right, I felt pretty damn good after that. I think my biggest math accomplishment was... Subscribing to The Math Sorcerer! Peace!
    4
  16238. ❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤
    4
  16239. Some people have higher iq
    4
  16240. I love this. Thank you. You have helped me a lot. <3
    4
  16241. You really out here doing God’s work 😌! Thank you!
    4
  16242. 🎉🎉
    4
  16243. Nooo please bring him back please undo that derivative
    4
  16244. You're awesome✨
    4
  16245. Good morning fellow paper smeller.
    4
  16246. Writing a as a^2/a was the clever part of problem imo. Thanks for that
    4
  16247. That is so cool.
    4
  16248. Here are the courses taken in Finnish high school's (grades 10-13) 'advanced mathematics': 1. Numbers and sequences 2. Polynomial functions and -equations 3. Geometry 4. Vectors 5. Analytic Geometry 6. Differential calculus 7. Trigonometric functions 8. Logarithmic functions 9. Integral Calculus 10. Statistics and Probabilities 11. Number Theory and proofing 12. Algorithms in mathematics 13. Integral and Differential calculus' extension course
    4
  16249. Thanks Sir useful problem.
    4
  16250. Thank u for being an inspiration
    4
  16251. Thank you very kindly 🙏🏽
    4
  16252. Very encouraging to me even when I don't go to college. I am past that. I try to reach my goal of finding a job I love. I learn about programming while remembering how important it is to be full hearted and very focused for 1 hr daily. Important advice to me, especially these Covid days. Thanks
    4
  16253. I felt pointed out when you said "go make a sandwich"... I'll try this 🤗
    4
  16254. I think that we should say for all x in the domain of the function and ... instead of for all x in Real numbers with.... Anyway I really love your Chanel and I have learned a bunch of stuffs.
    4
  16255. Haha I’m the opposite. I started out as a math major but then changed to computer science. Also nice video 👍.
    4
  16256. "Tubthumping" ~ Chumbawamba Play it loud!
    4
  16257. I feel so lucky. This was my HS book in 83/84.
    4
  16258. Ha ha ha !
    4
  16259. We will always support you and your channel. We wish you further success along the way.
    4
  16260. Thank you for this! This was really helpful.
    4
  16261. I’m taking precal and trig this spring, with Calc I coming in the summer. I appreciate all the practice these videos give me.
    4
  16262. That's a very big IF. Perhaps not even after having a job or having kids. Life is ever more expensive. Maybe people shouldn't give up in trying to achieve, no matter what is the case? With this pandemia, you can watch professional workshops and conferences. There's a growing chance that some things will change for the better.
    4
  16263. Awesomely done
    4
  16264. Damn no "Visual group theory", by far the best introduction to group theory.
    4
  16265. Watching this before I study for a math test tomorrow 🙃
    4
  16266. Sir I am from India .. thanks 😊 sir
    4
  16267. When I was studying at the University of Oklahoma, EE with computer science option (now software engineering), it was a 5 year degree.
    4
  16268. looks a bit dangerous with all those candles
    4
  16269. hi, is there a geometry book you can recommend for beginners? Any help is appreciated. Thanks
    4
  16270. After writing your first 1000 proofs you kind of get the hang of it))
    4
  16271. It would've been interesting if he had written Half Blood prince instead of A. Prince.
    4
  16272. Thank you sir 👍
    4
  16273. Great insights to kick off the new year.
    4
  16274. Amazing explanation !! Thanks a lot😁😁😁
    4
  16275. I have always used a pen as an EE and used that same manual which is harder than the actual exam BTW. It's good prep, very dense indeed - you have to know the subject and have a EE though I know a couple guys in my career that passed with zero college. Mine is a paperback and not in such nice shape.....
    4
  16276. Dude, I love your videos. 15 year old aspiring mathematician/physicist here. Please never stop uploading your videos. Math is such an amazing language.
    4
  16277. Pro tip: do what you like
    4
  16278. Tupac being quoted in a math video pep talk is epic ! :face-blue-smiling:
    4
  16279. Decisions, decisions: Yes, doing nothing is an option, but there are other elder care options for calculus texts: 1) have the book rebound by a local or regional printing firm, 2) remove the cover boards, punch binder holes in the pages, and store them in a three (ore more) ring binder, perhaps with a zip-to-close cover, 3) divide the book into per-chapter segments, and store them in manila folders together with worked solutions in adjacent manila folders in hanging folders in a filing cabinet, 4) recognize the image of Darth Vader's helmet in the cover, then erect a cremation pyre, and hold a math friends funeral party to dance around the burning pyre while chanting and singing. (Watching Star Wars 4-5-6 in advance is recommended.) Alternatively, one could donate the item to a local book pound, and adopt a newer, younger book with similar material as a companion for a longer life.
    4
  16280. Should we memorize axioms and theorems for proofs?
    4
  16281. Many years ago, the April issue of Computer Language magazine had a review of volume four: the review consisted of a blank page (volume four wasn't out yet at the time).
    4
  16282.  @TheMathSorcerer  thank you very much. I got an idea
    4
  16283. Computer degree is the answer because it teaches you how to think
    4
  16284. thanks to you i look at maths the way you look at the camera!!!
    4
  16285. Excellent excellent books I will definitely look into them
    4
  16286. I can freeze it and you can add things to meat to feed larger family's kind of like a filler
    4
  16287. now we're talkin
    4
  16288. I'm on this theme actually, your video helps me a lot...
    4
  16289. That's true about timing. I was never a good math student in junior high snd high school. I failed it. I actually had given up on math and accepted I was going to fail. I made sure I did well in the oyjer classes to compensate fir the F's in math. In 9th grade for first 2 or 3 months I actually got A's and B's in a Basic Algebra class. I couldn't believe it. Then I started getting F's again. I dontvunderstand why I couldn't the math back them. Today I can do Algebra and even some Calculus I can't do math proofs right now and I may never be able to do math proofs That's okay too. IF someone can't do the math fir a math degree, but still a career with math, they might get a accounting diploma. It's alright to fail.
    4
  16290. Nice choice of a manageable function to illustrate the concept / definition of uniform continuity.
    4
  16291. Nice Newtownian hair
    4
  16292. NOW!!!
    4
  16293. Could you describe what is "calc 2"? In my university, it is multivariable calculus. But in some other universities, even in the same country (I am from Brazil), it seems calc 2 can be something different like series, etc.
    4
  16294. Love from India ❤
    4
  16295. I think that one SHOULD be harder, and because it's NOT, the others are unnecessarily harder at first glance. Like, they USE limits in #1, but fail to more rigorously cover them. Oh, and why the notation conventions... what's the DX there at the end doing, is it cosmetic (it isn't)? If they spent more time covering the seeming technicalities in more detail, the strategies and methods and reasons for later stuff might not seem all that 'all at once'ish.
    4
  16296. I really appreciate your help . Lo
    4
  16297. As a computer science student I agree with all of that But Idk from where or what to study I have a good knowledge about calculus but I don't know how to use it 🗿
    4
  16298. How about can you make the test easier
    4
  16299. You bring balance to the force.🧙‍♂🪄🌟
    4
  16300. If we were really smart, we'd do something easier, then we'd have more time to goof-off!
    4
  16301. There are few things in this world that you should be obsessed with, luckily my obsession is one of them XD There was a time when I simply liked math, I never really understood any of the content I consumed, but I was like "woah, these people can figure that stuff out with their heads?!" Then I hit that point in Mathematics, that point where everything comes together and you have to THINK to solve a problem. There was a point right before then where I was very very sad, and I decided to stop interacting with people for a little bit, I basically just zoned out all class doing physics problems (We did math online that year and so I was done with everything 2 months before we got the next group of assignments), sorta ignoring the lectures and my classmates, and that made me so unbelievably happy and unconcerned about everything around me. I took Physics 111 that year, I finally understood what the heck a unit circle was, the trig functions made sense, I got to do vector math, it all just felt really good. So Physics was the moment I became obsessed with math. Not even explicitly a math class, just a very math-centric science. I never liked the labs, but the equations were so fun and cool to work with. Now that I'm chugging through Calculus, I'm having a really good time with understanding all of those formulas in terms of the calculus they were derived from. I decided to go through all the Calc 3 lectures from a YouTube channel, so I'll get to understand more vector stuff and other stuff. Pretty excited, not gonna lie. I've been hyped about 3D math since I was in SIXTH GRADE! Welp, peace!
    4
  16302. It is just what I need — notations and symbols. Then what about 2nd, 3rd, 4th.... nth derivative rules? For example, I see d^2x/ dy^2 or f''(x)
    4
  16303. First
    4
  16304. You said some truth.
    4
  16305. that's optimistic😂
    4
  16306. Masterpiece of a book
    4
  16307. Thank you!
    4
  16308. ❤❤❤❤
    4
  16309. So what are prerequisites for the Bible of algebra does you have to know whole calculus. I’m economics major looking to buy it right away. For even math phd holders these book will last for their life?? If I wanted to learn and master all algebra I shall buy it, what you think 🤔🤔
    4
  16310. Thankyou so much ❤
    4
  16311. Shouldn't you really check your solution in the original equation? Squaring both sides can introduce extraneous solutions. In this case, when I plug in (a–1)² for x, I get |a+1| – |a| = 1, which is true for some, but not all, a.
    4
  16312. Did that guy have Richardson? That looks almost identical to my linear algebra test.
    4
  16313. You should’ve opened them up and at least shown the contents page
    4
  16314. I had written before, and I repeat, we need some "nice and good" book advices on the subject of GAME THEORY, Sir. Thanks in advance, best regards from Turkey.
    4
  16315. This was a huge help on my homework. Thank you.
    4
  16316. Thank you! Was having a hard time understanding the concept and this video made it clear!
    4
  16317. My ego was elevated when you said your friend is smart as I have been saying the same thing ever since I took precalculus 18 years ago.
    4
  16318. Do you have a playlist with all your vlogs on them?
    4
  16319. I got involved with a girl and ditched Calculus 2 for two months. Then the final was imminent: so I did nothing but math for 4 days. Aced the final. It was stressful but exhilarating learning so much so fast. And I found out what I was capable of.
    4
  16320. Lisp: code is data is code. The ultimate in brain-breaking programming languages.
    4
  16321. Can you do a video about the insolubility of the quintic? I’m really dying to understand it. I’m not even an undergrad but I really want to understand it.
    4
  16322. DAMN MAN! Your videos are so cool. This pandemic & online classes can be very demotivating for many people and you help us to get inspired and work our asses off. Long live to math sorcerer !
    4
  16323. I will share this video to my classmates from Brazil! 🇧🇷
    4
  16324. Thank you sir
    4
  16325. Love your philosophy and take on life. Happy New Year.
    4
  16326. I've been an rf engineer for 18 years. Never went to high school, let alone college. Had to self educate myself. My biggest hurdle was the politics of higher education. It wasn't until my 40s I realized I was divergent. I didn't get the level of brainwashing my peers got. I was punished for many years due to this. The key to my self study was having 3 kids by 22. They gave me a real reason to try. When everyone else was trying to be awesome, I was trying to feed my kids, and end the chaos my parents created.
    4
  16327. Awesome video! Fun Fact: Math and Statistic majors scored the best on the MCAT (Medical-School Admission Test) in 2019-2020. Statistics are not accurate considering the number of applicants that are math or statistic majors is low but still cool to know!
    4
  16328. I have two in mind when I watched the video: 1. I was able to get an A (the highest grade in the class) in my first ever College-level course in high school (it was called Pre-Calc OnRamps, an explorative take of the high school subject; UT Austin creates the tests and the grades on those tests affect my college GPA, should I choose it so). It was a hard class, and I was absolutely ecstatic when I saw that A. 2. My contributions to online collegiate level mathematics textbooks (College Algebra, Calculus I, Statistics). My contribution includes proving concepts from scratch and creating difficult problems that both challenge yet intuit the subject. I hope I am not the only one to contribute, however, so for those who are interested, please contribute to Wikibooks! We need help with Calculus and CLEP College Algebra. The links are provided below. https://en.wikibooks.org/wiki/CLEP_College_Algebra and https://en.wikibooks.org/wiki/Calculus
    4
  16329. got better just watching The Math Sorcerer's videos)
    4
  16330. Good book, can please help me with a comprehensive book on Regression Analysis?
    4
  16331. this makes so much sense. thank you!
    4
  16332. I love these videos where you do book reviews.
    4
  16333. What about self learning engineering math? I would have appreciated teachers showing us how this math correlates to the real world applications. I love how you walk through these books and have detailed explanations on who can use them right away and what you need to know before diving in.
    4
  16334. i struggled this year(second year highschool) when trying to write proofs and especially when i have to prove something so obvious, so i clicked at this video and it's anout proofs in undergrad🙂 but still useful
    4
  16335. My first reaction suggests that I should really try to follow your advice. I audibly said “naah” and laughed a bit in the beginning because I genuinely think that I’m on the other side of the curve where I believe to be smarter than I actually am (so slightly above “not dumb” haha). But how would I really know? The subjective experience is always deceptive. So you know what, I’ll follow this “checklist” for a full week and see if anything changes! (Though doing all of these things would help pretty much anyone so the results of my experiment will unavoidably be debatable.) But I’ll check back in in a week. Wish me luck!
    4
  16336. this is actually a really cool fun book!
    4
  16337. Damn I subbed as soon as the video finished. Best life changing in your face thought leader. No filler no new age.
    4
  16338. I taught calc for 2 years. Most people fail because they dont know algebra tbh
    4
  16339. I bought two books by Lang and they’re both great and thick as well
    4
  16340. Hey math sorcerer, I used to watch your videos a lot to view how to solve calc and analysis problems so I could get into a Masters in Probability and Statistics. Now I'm about to finish my masters and I recommend the emailer to studdy some elementary probability before getting into full statistics (Wasserman's All of Statistics has a great introducton).
    4
  16341. I like the way that even this simple things in math can help me(talking as an intermediate student) to become better problem solver! Keep it up man
    4
  16342. I liked this video
    4
  16343. I believe the Bible of abstract algebra is the one by Dummit and Foote
    4
  16344. Can you do a video on long-term investments?
    4
  16345. 👍👍👍
    4
  16346. I don't understand. This is nearly as immediate as a result gets. This follows from definition of a Cartesian product, no proof is warranted.
    4
  16347. Yes this proof is nothing but a technicality. But it is still instructive, especially for inexperienced mathematicians, to see a proof scheme for a if and only if relation.
    4
  16348. Did you learn a lot of this life stuff from life experience? Or in addition to that, did you read some of the greatest works of literature (they call it the great conversation.)
    4
  16349. Thank you so much!!! You just saved me 5 pts from my homework xD
    4
  16350. I dont know if you have done a video on this, but could you do a video on the traits of being a successful mathematics teacher/professor or how to be a great mathematics teacher/professor.
    4
  16351. Before 1989 our small town in india had book store of mir publishers n i still have those books
    4
  16352. you made it look so easy. i now have hope for my exams lol. thanks!
    4
  16353. Your videos are an inspiration
    4
  16354. I Will never give up on math...I am not very happy with my last exam,but I will work harder Thank you so much on this video!
    4
  16355.  @TheMathSorcerer  It works! I will start it now and post my solutions in four hours!
    4
  16356. Hey Math Sorcerer, Can you please make a video that explains the difference between needing multiple sources vs hoarding to the point of redundancy? Why need multiple books on the same topic ( example: is 5 calculus books necessary). I really do love your academic initiative. I am an avid reader myself. I just need to know when enough is enough to stay organized. I am also a bargain hunter
    4
  16357. Can you make please some videos on what are the best books that teach most basic math until you finish high school?Obscure books or books that just break down the most basic math concepts "in context" of how they were discovered, books that basically are framed like this "if I read this(these) book(s) while I was in high school/middle school etc...maybe I wouldn't have ended up hating math"
    4
  16358. Thanks for this video.
    4
  16359. Yeah same, and then imagine reading functional analysis where every problem is: "Prove that..." Feels bad.
    4
  16360. I love all your videos @themathsorcerer This is really inspiring
    4
  16361. Brilliant..
    4
  16362. I actually had a physics prof last semester who had the tests be worth 70% of the grade. Not sure how often that happens but long story short I was not a happy camper Found out a couple months ago that I have ADHD though so I guess that's cool 🥴
    4
  16363. Thank you this video Helped me a lot ! Thanks for the help and i subscribed to your channel Thank you so much!
    4
  16364. Learning maths is basically weightlifting for the brain.
    4
  16365. your speech is very easy to understand. thank your video and I hope you make many contents like how to keep motivation in solving mathematic problem.Thanks you so much and give you one like
    4
  16366. You're a great coach. These talks are very motivational. 🤗
    4
  16367. 3:21 haha calculus 7, does it introduce cohomology of manifolds?
    4
  16368. Loved it man really saved my life
    4
  16369. Gigachad math sorcerer ✊🏼
    4
  16370. i really like the way you're treating math like probably others treat the gym or something... i love the math grind
    4
  16371. great explanation of the direct comparison test at 27:00. thank you
    4
  16372. Iam a physics student and ive take almost all of these courses too
    4
  16373. Great book, had it for years! OK, now I have to mention that his last name is pronouned "von noyman" .🙂
    4
  16374. I am reading more comments so that I feel safe while he reviews the books🙄
    4
  16375. Thx brother
    4
  16376. Hello Math Sorcerer, I just want to tell you how inspirational and helpful you have been to my math journey. I gave up on math when I was in highschool and never thought I would be good at it. You have been a huge inspiration to me to keep getting better and improving my math skills as I am going through university. Keep up the awesome videos!
    4
  16377. We will always support this channel. The content here are the best.
    4
  16378. I was thinking “Not enough pictures,” then you showed E McSquared’s Calculus Primer. Nice
    4
  16379. Wish to make a bookself like you one-day...
    4
  16380. *From someone familiar with both the German and US university systems:* In Germany, the most important classes for mathematics students in their first year are: - Real Analysis I (same as in the US) - Linear Algebra I (rigorous, but same content as a first linear algebra course in the US) - Real Analysis II (a rigorous multivariable calc course) and - Linear Algebra II (akin to Axler's Linear Algebra Done Right). You jump right into rigorous math. But you build everything from the ground up, starting with the reals, so there are no prerequisites. Introduction to basic set theory and proofs are built into these first few classes, so there's no need for a separate course on proofs, common at many US institutions. It's hard. In fact, retention rates lie below 50% for the first year. (Note: the calculus that foreigners learn in high school only provides intuition and familiarity, but it doesn't explain why foreign math students outpace their US counterparts at the university level. After all, many Americans learn calculus in high school, too.) This sounds strange, if you're used to the US undergrad model where you decide on your major in your first few semesters. But outside the US, you typically enroll directly into your major. Hence, you can immediately plunge wholeheartedly into mathematics. Don't get me wrong, though. There are a lot of downsides to this system. And the American undergrad experience has many advantages. But this explains how foreign university students leapfrog their US counterparts to higher levels of mathematical sophistication.
    4
  16381. What if there were 3 cosets?
    4
  16382. I'm no linguist, but the Douey-Rheims Bible, the one recommended to Traditional Catholics, written by St Jerome, i.e.~1600's, "show" is spelled "shew" lots of other biblical words are spelled differently as well, i.e. Noe is Noah. Thanks for working these problems, they are more fun than "must see TV". XoXo
    4
  16383. What? No Sniff or Whiff of those old yellowed pages from a foreign country? You will lose your powers of mathematical sorcery if you do not sniff every book that crosses your path. 😁🧙 (Although, the pages did look rather toxic and dank and could have been cursed by dark magic)
    4
  16384. Useful problem Sir. Thank you.
    4
  16385. Nope - I got a MS applied math and I didn't have time. 😊
    4
  16386. Been doing math for a grad school goal aside from the plain jane bach in psych i have now.
    4
  16387. My problem is that sometimes I get a wrong answer because of carelessness. How to avoid carelessness?
    4
  16388. lol!!! I wondered that too!
    4
  16389. The sad thing is that the only validation for mathematical knowledge is university. No matter how much you read and learn if you do it outside university. If you decide then to go to one to get verification, you have to go through every course full time (semesters and years), there's no other system of verification math knowledge.
    4
  16390. 🤣😂🤣😂🤣😂🤣😂🤣😂🤣😂🤣😂🤣😂🤣😂
    4
  16391. I was watching your reviews of How to Prove It last night wondering if you still cared about this book. Thank you! I'm finally at the end of it.
    4
  16392. Dad had spherical geometry in conjunction to learning celestial navigation. Before GPS celestial navigation was based on spherical geometry. In practice, tables and construction were used to solve for position.
    4
  16393. Hi, thanks for this list. It's over 15 years since I did A-level maths (the equivalent of high school in USA) are there any prerequisites for this list or things to brush up on first before starting this list?
    4
  16394. Where is number theory
    4
  16395. THANK YOU SIR ...it helps my a lot with my assignment, VERY HELPFUL:)
    4
  16396. I am a retired Engineer. I ask myself so many things to learn, but the subject you learn i ask what are you going to do with it. I developed a passion for physics. For example I learned special relativity. I asked myself what practical application I can use this for. Is our understanding really just limited to Math . In short I struggled with it in its application side. You can say I found not even one application I could come up with. I tried to learn General Relativity, understood the math, got completed defeated in trying to really understand gravity. I mean not the Einstein way but a totally different way. I got destroyed again. Physics involved too much math, most of it I understood, but could not find answers such as gravity , concept of time etc. I thought of a revolutionary way for interstellar travel but the text books really failed to teach the subject. This was not like this say in Fracture Mechanics. It has wide applications. Text books do a fantastic job if you want to apply it. I think in the area of physics the science becomes math heavy but fail to put a physical meaning to it. So your passion can lead to dead end sometimes.
    4
  16397. The part of trying remember the student's name is hilarious 😂 they laughed at the class and we did too!
    4
  16398. For computer, just use a separate desktop option via windows tab hotkey. Than make 1 work desktop tab and 1 free time tab, works wonders for me!
    4
  16399. Does it have calc 1&2
    4
  16400. I came into this totally not expecting to come to the correct conclusion... I came to the correct conclusion on the first try lol
    4
  16401. Miss the lectures, I think you need a production team now :)
    4
  16402. I have Thomas and Finney 9th edition for calculus
    4
  16403. Sir you look like modern day Isac Newton
    4
  16404. First of all, props to the man for his commitment and discipline. Secondly, on the topic of taking breaks and doing other activities: I would suggest doing things that are OPPOSITE to studying. For example, if you study sitting down, with artificial lighting inside, staring at a screen or paper close to your eyes, and youre alone when doing this --> make sure to balance it with something active, outside, where you view objects far away (yes this matters for your eyes), and preferably with other people. Balance is key!
    4
  16405. Helped a lot thanks
    4
  16406. lol love your profile
    4
  16407. Thank you so much!
    4
  16408. Hi!how are You sir?I think it would be very good if You made short videos about research topics in mathematics or fields of mathematics in gral.for example:harmonic analysis,differential geometry,pde's,number theory,commutative algebra,...etc.I havent found anything like it on youtube and I think it may help math majors to know what is out there to do research on once they graduaste.stay well :)
    4
  16409. Many people have compensation packages that consist of multiple parts. Tao's case is likely not an exception. For example, even a lowly software engineer can have a base salary, a fringe benefit package, a signing bonus, and stock options. Also true is that the job title of the highest paid public employee often is Coach.
    4
  16410. Thank you so much for posting this! Hope everything is going well!
    4
  16411. I would love having a calculus teacher like you :(
    4
  16412. Truthfully that is dependent on the individual. If your an advanced student who already knows the material then it might be worth while trying to tech it. There's a thing that happens when you teach something... it forces you to think about the why instead of just the how. When you learn something yourself, you tend to want to focus on the material itself that way you can learn it. When you go back again, it gives you a chance to make links and connect the subject to other reputable topics. Let me use linear algebra for example. When I first studied it, it was a nightmare to try and visualize transformations happening in 3d or 4d... but when I started working in computer graphics, all of those concepts became more then just equations. It helped me see what was happening to the components during and after their transformations. Teaching a subject will do more to teach you the material then the first time taking the class would have.
    4
  16413. omg, you are the best!
    4
  16414. Thank you.
    4
  16415. Sir i am from india and i want to go abroad to do phd maths. I want to become a great Mathematician Physicist so sir I don't know much about abroad from where I can do doctor degree in mathematics and which universities. I hope. you will help me. sir please 👏👏👏👏🙇
    4
  16416. Actually helpful thanks!
    4
  16417. In the United States, Science, Technology, Engineering, and Mathematics (STEM); is pushed for all students because of the inflated salaries. The only way for all students to participate is to lower the level of material covered in high school.
    4
  16418. Thank you!!
    4
  16419. This is a very nice question to understand the definition of a limit point!! Thank you!!!
    4
  16420. Thanks, now I was able to get another math book.
    4
  16421. My brain: that really can’t be it. The video: yup. This is it. My brain: oh snap! As a 40yr old studying for a BSc in Maths I like your videos.
    4
  16422. @Floating Leaf Theory 😂😂
    4
  16423. Become an expert 1. Find your passion/good at/interesting thing to do 2. Set realistic goals/achievable goals, break them down clearly 3. Find a mentor/coach/expert in that field to walk you the journey 4. Dedicate time and effort-spend most of your energy and hours in it 5. Never give up to persue what you're doing/set out to do, whether you meet challenges and failure or not, grow in the passion 6. Practice regularly - keep trying again and again, find new ways and methods of accomplishing what you're doing 7. Get feedback to improve; tests, assessment, evaluation, from experts, those close to you, your admirers, customers etc 8. Reflect on your accomplishments - go through what you've achieved so far and rate yourself, teach someone or be a coach so as to grow/be well grounded in that field.
    4
  16424. What a crack
    4
  16425. Tbh I am weak at maths , When it comes down to practice I often end up with Unfinished work. And with growing frustration I Give up After some time. I always find it harder to understand why Pupils of my age are good at maths. And it looks like they push themselves more harder than I do. Thanks for the video BTW!
    4
  16426. Music makes me think in rhythm, so that i dont rush things and make silly mistakes, but rather go through them at a steady pace. Sometimes during exams i remember the song i listened to while solving certain problems, so it helps me recollect the practice that i had 😅. But we all have different brains
    4
  16427. nice sir
    4
  16428. The power of Calculus is immense ❤
    4
  16429. Thanks a lot I hope you great life
    4
  16430. WD GANN BOOKS
    4
  16431. Couldn't agree more about Munkres and Schaum's. Munkres was my topology text and Schaum's was what I used as a supplement. I have solutions to many of the exercises in Munkres from taking a year-long sequence. If someone REALLY wants to understand single-variable calculus/elementary analysis, study topology!
    4
  16432. I've been working relentlessly all summer every day for hours on homological algebra and Galois Theory. Finally forced myself to take a break. Breaks always make me feel guilty.
    4
  16433. Very helpful! I know radians and degrees but some of my schoolmates don't. I recommend it to all people in my class! That's even better than our math teacher 😅.
    4
  16434. Thank you. Love your work. You've taught me so much, and made my life better. I wish you the best.
    4
  16435. 🔒🔒🔒🔒🔒🔒ing in
    4
  16436. I agree with everything you said. I'm 72 and have a Masters in electrical engineering. I still love learning everything, so much so that I feel like I'm spreading myself very thin with the range of things I enjoy learning. Love your books.
    4
  16437. Brilliant
    4
  16438. Thank you so much sir! This really helps me a lot. I really appreciate it.
    4
  16439. Thanks for the recommendation Personally prefer books that have no answers
    4
  16440. How do you know if you got the exercise right, if there are no answers?
    4
  16441.  @PhillipRhodes  struggling to solve problems is the reason why I study mathematics Yes it's awesome to know if your deduction is right by checking the answers but books with answers is making my generation kind of lazy
    4
  16442. These are awesome lectures! Would love to be in the class, but it’s fun to supplement my current classes with this
    4
  16443. Math sorcerer please review pencil sharpeners!!!
    4
  16444. Really enjoy you showcasing these various books. This one is now on its way to me.
    4
  16445. Very awkward, I'm skipping the gym to do math, but now the Math Prof is telling me to go the gym...
    4
  16446. please show your vampire book
    4
  16447. Great video! To hold your book open I recommend using a binder clip if you havent tried it!! I use a big binder clip to hold my textbook pages open when I put them on my stand :)
    4
  16448. Thank you math sorcerer. Your videos are really interesting and helpful. I can't stop watching them.
    4
  16449. Very good !
    4
  16450. I am bigneer in calculations ,so I wae worried when I have seen these books , I wanna to start only one basic calculation book 📖,so tell me the name of anyone basic calculation book 📖📖............?
    4
  16451. Is it better Needham's Visual Complex Analysis? Thank you for your videos.
    4
  16452. Wowww, amazing!! I'll do it sir!!!!!!!! i am rat puppet AND I AM INVINCIBLE AT MATH
    4
  16453. Could we do x2-x1 , y2-y1, z2-z1 in order to find our v vector ? I noticed you did the opposite . Thanks !
    4
  16454. I want a good computer to play RuneScape
    4
  16455. Am always first
    4
  16456. thank you so much, im crying..
    4
  16457. Hi Sir, Please make a video on ART OF PROBLEM SOLVING MATH. Plz plz plz...
    4
  16458. Thanks alot sir it really hlpd me alot
    4
  16459. man singlehandedly saving me from failing algebra, thank you
    4
  16460. Hows it feel to know you save lives? :)))
    4
  16461. People are saying Munkres is better
    4
  16462. Whenever I watch some motivational / study advice video, people say "turn off your computer", and as a computer science major who has almost all of his books (math included) in pdf, and has to read / watch online tutorials for some things, I feel personally attacked xD
    4
  16463. I don't use/like Spotify. If you were on Apple podcasts I'd subscribe immediately!
    4
  16464. sir your videos are always very helpful for me
    4
  16465. Now the mystery of the math troll from NY, we need to know who, how and why...
    4
  16466. Could please give some tips to be able study math for longer time? I can only do 3 to 4 hours a day , but not every day :/
    4
  16467. We once had a shortage of math trachers so the Biology Professor subbed that semester. It was a disaster. I got a C and took the class over.
    4
  16468. Great book for one variable! Do you have any good analysis books for multivariable analysis?
    4
  16469. love ❤️
    4
  16470. I learn more from this guy than my academic advisor 💀
    4
  16471. hello my teacher asked me to solve this y=f(x/z),where z is dependent variable. pls help me..
    4
  16472. hahah "I hate foil". 51:20
    4
  16473. and this is why i love google lol
    4
  16474. Civil Engineering major - Structural analysis , Dynamics , Physics 1 with calc 1 and physics 2 with calc 2 (this were my hardest classes and by the way physics never made sense to me lol specially circuits lol ) I just graduated from UCF so trauma is still fresh lol all that being said It also depends on what kind of professor is teaching the class. When i started the school in Seminole State College I thought math was really hard but Professor Gabilando made it so much fun and interesting and today i love math because of him. Professor - This is kunjan if you remember me.
    4
  16475. you are great, continue these advices videos.
    4
  16476. Thanks!
    4
  16477. thank you,a needed that
    4
  16478. I swear your finding your voice. These latest videos are 🔥
    4
  16479. Is calc 3 also known as multivariable calculus
    4
  16480. do you ever think about writing your own math book?
    4
  16481. Hey Mate, I rarely comment on YouTube though I thought it was necessary this time. I found your videos at the start of the year shortly after suffering a major concussion seriously jeopardizing my professional career as a footballer which has put my whole life into perspective. I have since decided to face my fear of math and follow my second dream of enrolling into a Bachelor of Engineering here at the University of Queensland. I just wanted to thank you for your content as it has given me the wheels to believe in myself academically and has changed my view of mathematics for the better. Lots of love from down under Sorcerer \m/
    4
  16482. Lol 1-2 hours to GO through your abstract algebra notes. I need 2 days for every lecture if I’m lucky
    4
  16483. Honors Mulitvariable Calculus?!
    4
  16484. The Maths Sorcerer........yes indeed, I've sometimes thought myself that Maths itself is a kind of magic, with the amazing things you can do with it.
    4
  16485.  @TheMathSorcerer  Little bit off topic, but what about "A First Course in Calculus" 2nd. ed by Sarge Lang? It's a great little book for learning of basic calculus. I think they are on the 5th ed now, but I really like the 2nd. There is also "A Second Course in Calculus" 2nd by the same author. It has morphed into a much larger mutivariable calculus book, but the 2nd ed is still great.
    4
  16486. Finally the best video of variation of parameters . Some of the videos have so much confusion but this one is great & the way he is teaching is awesome 👍👏
    4
  16487. You looked Jacked, you have definitely been putting in the work in the Gym too. Respect
    4
  16488. Thank you. The responses are very entertaining: I am surprised nobody has suggested yet that perhaps π actually is equal to 0. To encourage this sort of lateral thinking I have got a shorter, simpler proof without the intricacies of calculus for those who are interested in reaching a highrer level of sorcery: cos 0 = cos 2π because both are equal to 1. Since the cosine is not zero you can cancel it out (divide by it) on both sides and you get 0 = 2π. Divide both sides again, this time by 2, and you get 0 = π. With 2 totally independent proofs it has to be true, right?
    4
  16489. thx for this video. It was helpful.
    4
  16490. youtube be getting sus. it can read my mind
    4
  16491. In university now studying math. It is really theoretical and difficult to intuitively understand things. We study from 8am to 11pm(including classes) just to keep up. Kind of difficult to outshine anyone else because we all work hard and we are all limited to the amount of hours in a day. What can I do to get ahead?
    4
  16492. GREAT VIDEO! :) thx
    4
  16493. You hit it on the nose with these videos sorcerer! This has explained a lot. I am forever in your debt ha. Thanks again and I look forward to more class videos if and when we return to that. I enjoy your interactions. V/r, Newman
    4
  16494. thank you so muchhhhhh, you helped me understand this inequality and I able to finished my homework 🔥 (subscribed!)
    4
  16495. On Sundays and Mondays, I always go out to scenic places where there are trees, rivers, birds, dragonflies, etc. I go there where I can air my lungs and declutter my mind. Walking in scenic places is therapeutic. Truthfully, walking often jogs thoughts as it does for me. After walking, I return home with new ideas for painting or new plans for living my life. Sometimes, I take my readings out of doors. At home, I sit out in the back garden, having tea with my books.
    4
  16496. ✌️👌👌👌👌
    4
  16497. love the mtg themed coasters!
    4
  16498. Wherever you are looks like a relaxing place to take a walk.
    4
  16499. I am going to start math UG course at the of 23 . Is it too late
    4
  16500. thank you so much sir
    4
  16501. You could study away from a noisy home and find somewhere peaceful like a library. I couldn't study at home, unless I am left alone and be undisturbed for at least 30 minutes at a time. I get occasional visits from little nieces and nephews, noisy little rascals, who are distractions. For yourself, keep studying and don't give up.
    4
  16502. Nark
    4
  16503. I thought Jeff Bezos grew his hair
    4
  16504. Thank you homie
    4
  16505. This is the video I asked for. Thanks.
    4
  16506. Fifty years after high school and college, I frequently use algebra to balance my checkbook. I use statistics and probability to critically evaluate the public debate about different social issues. How can one be a citizen, let alone member of the town council, in today's world without high school math? How can one be a STEM professional or just understand modern physics without a year of calculus? How can one understand compound interest and household finance (budgets, investments, mortgages, car finance) without algebra?
    4
  16507. You are great!
    4
  16508. I have this book 6th edition Philippine copy actually
    4
  16509. There is an updated version: „Hass, Heil, Bogacki, Weir, Thomas: University Calculus. Early Transcendentals. 4th Edition“. It‘s for absolute beginners and might be helpful to prepare for a bachelor study in mathematics. It‘s Calculus only, not Analysis, so beginners should also use an appropriate Analysis textbook because Calculus alone won‘t be sufficient for the first semester.
    4
  16510. Nice! Have not integrated exponential function before but now I know how to. Thank you :)
    4
  16511. A systems book with no c b/c its older than c. very cool
    4
  16512. Also, as part of the daily liturgy you should challenge us with math and philosophy puzzles, so that we could hone our Halmosian "clear-concise-clever" skillz
    4
  16513. I'm learning math but don't know where to start any tips?
    4
  16514. Go get em Jerry!
    4
  16515. Thanks so much for retiring the sea sick machine.
    4
  16516. Great video!
    4
  16517. In India, from the beginning of high school until undergrad, the majority spend their entire time preparing for Engineering/ Med Schools' entrance tests, which are really really hard. I mean they require you to have a decent knowledge of Differential Calculus, Integral Calculus and other topics of similar standards in Physics Chemistry and Biology too. So yeah, students acquire a hell lot of knowledge before uni. But once they get into undergrad, they start exploring the world and then they realise there is much more in this world than the four subjects they were studying until now. So, yeah ! They don't really learn much subject matter in undergrad, compared to what they used to high school ! I suggest you to go through one of the JEE Advanced papers and just try to think the effort required for such exams. Remember that these exams are meant to be taken for undergrad admissions, like equivalent to SAT.
    4
  16518. thank you soo much sir you solve the very big problems in some steps❤❤. love from Pakistan
    4
  16519. Success = Effort * Talent.
    4
  16520. Awesome
    4
  16521. like you always say , GOOD STUFF
    4
  16522. I tried it hurt my gpa and its going to be very hard to get into grad school. But im still happy i tried different math classes, I just hope that look at my all As in my upper level classes instead of the Ds i got from experimenting sophomore year.
    4
  16523. Im in na weird spot for next year, Idk if i should my eggs in my physics basket or my math basket for grad school. With my stats I doubt phd programs would take me and since there arent many physics masters terminal programs i think I might have to focus on math instead.
    4
  16524. For a sec I thought he was Newton..😅😅
    4
  16525. 1951 isn't that old, but ok 😀i have seen some good high level good algebra books written in 1880, still relevant today in my country
    4
  16526. Am the first one to comment ❤️
    4
  16527. Now, with the internet, with online books and videos, I think anybody can get a much better education at least through the first two years of college with self-study. Going to a class at a regular community college or state university, you are likely to get a very mediocre teacher, not to mention the wasted time and expense of travel back-and-forth. With the saved tuition money, buy yourself a nice new computer.
    4
  16528. I would recommend you to follow the data professor on YouTube. With minimal knowledge of python you can do so much especially in Data Science and the many fields that accompany it. Data Science is needed in almost any field.
    4
  16529. How would we track progress of moderation for consistency in maths?
    4
  16530. First
    4
  16531. I tried reading it a while ago. Got to the exercises (those little proofs) in Chapter 1 and got completely stuck. I then decided to sharpen my skills, and began with the "A transition to advanced mathematics" book. I hope that my proof skills are enough by the time I finish it so I can comfortably read Spivak.
    4
  16532. Sir can you make videos on conic sections including ellipse, parabola and hyperbola and their applications related math and practice book for self study. Please sir
    4
  16533. It seemed more intuitive to me to solve for a and b s.t. f(x1) =a(f(x2)) + b(f(x3)). So for the last set f(x1) = x, f(x2)= x-1 and f(x3) = x+9, then 1x+0x^0 = (a+b)x + (-a+9b)x^0, so we solve for a + b = 1 and -a +9b = 0, where b =1/10 and a = 9/10. So, then these are linearly dependent. Further, the previous example show a contradiction when solving for a and b, for 0x^0 + 1x + 0x^2 = a(7+x) +b(x^2) we notice that we get the contradiction from 0x^0 = 7a(x^0) or a=0 AND 1x = ax, here indicating that a=1, since a can't be both 1 and 0, then it is impossible to create a linear combination such that f(x1) =a(f(x2)) + b(f(x3)) so the functions are linearly independent. I'm in a first semester ODE class and I appreciate you're taking the time to show how linear dependence and independence relates to the content explicitly in a concrete fashion. I am having trouble intuitively understanding just what I'm doing in the class and while in the past I might have been happy with a grade as I approach higher level topics I sense that my ceiling for what I can do will depend much more on understanding the qualitative analysis of the problems when they have applied purposes. So, again thanks. I just glanced at your linear algebra content. My understanding of linear algebra is near zero. Yes, I learned the procedures (and forgot them), but I didn't develop a means to "see" what I was doing. Hope that your content might help there. I see your emphasis on some proofs, so perhaps it might help bridge a portion of my lack of qualitative sense for linear algebra. If you receive it, God bless you sir.
    4
  16534. that's because they are on chegg :))
    4
  16535. Hi u my life helper
    4
  16536. I always worded it as, "don't fear math". I tell people that their brain is inherently good at math, it's a societal fear of math that they need to overcome. It's all those people who hear "math is hard" or "math is confusing" as a child an internalize it early and just accept that about themselves. What they need to be hearing is that "math is fun" or "math is a game" instead. Humans are pattern seekers and math is the best discipline to practice that core function of our brain.
    4
  16537. How about doing a video on the most entertaining/recreational maths books. I'm thinking Smullyan, Martin Gardner, Knuth's novel on surreal numbers, Hofstadter's GEB.
    4
  16538. Almost every engineer i know had read Kreyzsig sometime in their life
    4
  16539. 1:52
    4
  16540. He looks like Jeff Bezos
    4
  16541. I need to start thinking 💭 more and your video’s really inspired me to start learning math 🧮
    4
  16542. This integration is too easy😁😁
    4
  16543. hold your hand still so they can smell it, the less jerky movements the better
    4
  16544. I was today wondering what a barred arrow ↦ means. Why is it different from a plain arrow → ?
    4
  16545. Just want to say that your prove is to the point
    4
  16546. Thanks a lot!
    4
  16547. I also read Baby Rudin theorem-by-theorem. Yes, it was hard. And it was slow going. But worthwhile. Papa Rudin is harder and Grand-daddy Rudin is beyond me (currently). The Rudin books have become a goal for me to get through and its been more difficult since leaving school.
    4
  16548. Yes, I have seen some successful people who are highly disciplined and industrious.
    4
  16549. I used to make up my own questions before tests. I'm talking about what I did in junior high and high school and it wasn't for math class. A bit off topic, I guess. But it relates to studying for test. I'd read somewhere at the time, that teachers would make their own questions for tests. The tip suggested we make our own questions because our invented questions might overlap with the questions the teachers make up for the test. It helped me in my history and science classes. Never tried it for math classes, and I don't know if someone could make up their own questions for math. So I would suggest the best thing to do to study for math, is get math books and do the problems. The answers are in the back of the book so you can check your answers. I guess do that before a test to get some practice. . I wished there had been a YouTube and eBay when I was in junior high and high school. I would have done so much better in math. I think YouTube is great for watching math videos and eBay gives people access to books on almost any subject
    4
  16550.  @TheMathSorcerer  I fricken aced the exam! All of the proofs just came to me like magic. Thanks so much for your continued advice and motivation
    4
  16551. I had Linear Algebra 1-3 and Calculus 1-3 but a long time ago (+40 years). Surprising how much I have forgotten at those levels and lower.
    4
  16552. 3:00 Haha when tutoring, its funny to see people in pre-calc and alg2 get tripped up doing operations on fractions again. Reminds me of myself in Calc 2 when trig was introduced again. 4:31 So relatable
    4
  16553. You cant switch from a sorcerer class to a barbarian class. thats cheating
    4
  16554. Great review! Hey...I would love you to do a video of real nuts and bolts of Gamma Function...or red comm nd book with applications...love your channel 😉
    4
  16555. The presence of sqrt(x-6) forces x >= 6. But then 2x+5 >= 17 and its square root exceeds 4, so you can't have any real solutions.
    4
  16556. i swear induction is soo op!
    4
  16557. Thanks mate i have mocks tomorrow it really helped me a lot
    4
  16558. That's a very elegant solution. I did integration (via maclaurin series) and end up doing more calculation for the same result (y)
    4
  16559. All are good books. I liked especially differential equations book 👍
    4
  16560. Yes.
    4
  16561. 度もありがとう御座います先生！！！！！
    4
  16562. Thanku so much Sir..you helped me a lot❤🙌
    4
  16563. You could have ended the video right at “we’re never going to reach a point in history where we have all the answers.” A philosophical explanation!
    4
  16564. Magnus Carlsen GOAT ....nope!.... First, people in other developed countries (ie Europe, Canada, Australia, NZ, etc.) are not "fighting hard" to get to "America" because they have a higher standard of living in their own countries! Second, the education system in those countries, particularly European ones, is at a much higher level than the USA system. For example, just to be able to enter university, in the UK, students must pass their A-Level subjects with a particularly high grade. In the mathematics subject, this would cover off about 2-3 year's worth of what an American university Mathematics major would learn in their degree course. So, UK students basically start university at the 3rd or 4th year level! This is also true for other European countries. They simply learn more material before they begin university.
    4
  16565. Thank you!
    4
  16566. Pronunciation comment: "mir" should not be pronounced like "mur" but rather like "meer". It is a Russian word, to be pronounced as written, not to be pronounced with the weird English distortions
    4
  16567. Men you really like Books 👍🙂 I have purchased the computer science book on your recommendation from the past video of yours 🙂😉👍 thank you, take care.
    4
  16568. You're so good I wish you could do equivalent videos for programming
    4
  16569. i always tell this to my brothers/sisters in highschool. life is going to nothing short of doing tons of things you don't like. you're gonna have to wake up early when you don't want to, listen when you don't want to, learn skills or subjects you don't want to, etc. this is innate part of our world, to function in society you need to provide to get things in return. with that being said, regardless of whether or not you even choose to go to school, you're going to get a job doing something that demands the exact same things, there is no escaping it. Grades are invaluable in this sense because they imbue these skills into you, because to get good grades you need to be up early , study, learn, etc. all the time and 90% of the time you're not going to like it. but the ability to push through those things is a highly valuable trait that you can improve, and hence why it's often a measure for a professionals ability to function in their position. on the bright side remember university is awesome because you chose the thing that resonated with you the most. be proud of the skillset you embarked on to learn, you're going to be part of a group of individuals that are very good at your subject and only your subject. that's just cool dood
    4
  16570. Nice! I am a proud subscriber. :-)
    4
  16571. Pls leave this vid up so I can revisit it
    4
  16572. What if the numerator is 0 as well? Isn't it possible that the value of F(x,y) will be finite then, so F might even be continuous at that point?
    4
  16573. Thanks
    4
  16574. you can get every book on libgen.is website.
    4
  16575. What would you say about Mathematical Analysis by T.M Apostol?If one completes both volumes of T.M Apostol's Calculus,then what would be better choice among Rudin's and Apostol's Mathematical Analysis?
    4
  16576. thanks for these videos!! they help a lot.
    4
  16577. In Bhagvad Gita , Krishna says to do work without any motive or thinking of result
    4
  16578. Life saver
    4
  16579. No, to a mathematician it Analysis 1. Or should I say Analysis 5
    4
  16580. First
    4
  16581. Brilliant bro
    4
  16582. Really great explanation. Thank you. Great teachers like you make studying worthwhile.
    4
  16583.  @TheMathSorcerer  for the first time in my life my math teacher said you can't do this chapter without memorizing all the formulas, at that moment i realized that math is not a subject of just understanding anymore, it's just like any other subject where you get marks just by cramming all the shit
    4
  16584. I'm grateful for your help!
    4
  16585. I major in statistics but I am a huge fan of analysis, particularly classical Fourier analysis. I felt this is very useful. To be honest, if you allow me to put it dramatically, analysis let me have a "higher dimension" weapon, compared with my colleagues who only learn statistics. But what I would never do when I study math, particularly analysis course, is just reading without keeping writing notes and reflection. Having a diligent notes habit is essentially important and powerful for you to promote your familiarity and sensitivity of mathematics.
    4
  16586. Woah! Really enjoyed it! 😂 Also, the board is super cool!
    4
  16587. Which country u belong.?? Is India???? (
    4
  16588. Thank you so much, I send you love and light!
    4
  16589. My text book in my compsci degree
    4
  16590. Wow, in one example you brought back something I learned 47 years ago.
    4
  16591. Do you think you can ace it?
    4
  16592. Exposure to this now, regardless whether you understand it, will make it easier to learn when you do get to it. (:
    4
  16593. I resonated with that matrices comment. They make no intuitive sense at all! I still go back at them because i stumble upon them in Cl.Mechanics or Q.Mechanics and time and time again i find myself struggling over them. They haven't clicked, i don't know why.
    4
  16594. Thank u sir
    4
  16595. 3^3 + 3^3 + 3^3 => factor out a 3^2 (3^2) * (3 + 3 + 3) => add inside second parenthesis (3^2) * (9) => note that 9 = 3^2, so (3^2) * (3^2) => use rules of exponents when like bases are multiplied 3^4
    4
  16596. First?
    4
  16597. Mir publishers. Every book by them were good. Every book.
    4
  16598. This one seems hard to find! Thanks
    4
  16599. Your english accent is so clear!
    4
  16600. just solve from the primary books then step by step come to 12th standard and then choose different college sibject specific books
    4
  16601. I hope they were free like they are in Germany and Europe.
    4
  16602. Great book
    4
  16603. Thanks for the explanation. have you thought about making a video about the total derivative in multivariable calculus? Im kinda confused with that
    4
  16604.  @ml106  Oh yes Indeed, I hope I'm not but I will try not to make jokes as such.
    4
  16605. Man I feared Laplace before but after watching your videos I love doing different problems, 😀 no more fear , thank very much sir you r doing a great work ,helping people like me who can't buy courses🙏love u , may u reach big heights
    4
  16606. greetings Sorcerer!, this format of you writing with a pencil is very interesting...
    4
  16607. I appreciate
    4
  16608. Louisiana schools are all shutdown. We’re using zoom for online lectures. I think recorded class lectures are the way to go instead of streams
    4
  16609. Maybe that’s how I ended up here 🤔
    4
  16610. Thank You!
    4
  16611. First to comment and first to learn
    4
  16612. Congrats math Sorcerer. Been a crazy journey man!
    4
  16613. Again you help me out bro. It was very easy to follow and I like your positive attitude, thanks!
    4
  16614. Great video!!!! Although I love love love the in depth book reviews, i really appreciate you giving us an insight into more of your books. !!
    4
  16615. I think being good at Maths doesn’t requires you to be an intellectual genius but it’s more about discipline more discipline and even more and more discipline to stick with it despite odds..
    4
  16616. Primero
    4
  16617. you changed everything 😭😭 thank you!!!!!
    4
  16618. That was so helpful bro Thanks ❤️
    4
  16619. I'm too old to listen to you, young man.
    4
  16620. Just like what one character said in the movie I watched the other night - "You can't get so hung up on where you'd rather be that you forget to make the most of where you are"
    4
  16621. I saw the Elementary Number Theory book by Dudley on your bookshelf. You should read it. The author is delightfully conversational and instills in the reader his love for the subject. The problems are fun. For me this is recreational math. There's also a second edition which is an upgrade. I had the Andrews number theory book as a math student at Penn State (which you also have) when he was professor there. He's quite famous now because of his discovery of Ramanujan's lost notebook, but I still like the Dudley book better - not so formal.
    4
  16622. I agree!. however You should avoid doing repetitive exercises that you know You know how to do just for the sake of doing them. Also don't waste a lot of time in a problem thats to hard
    4
  16623. I drink something call mate.very popular in argentina.it has very little caffeine,but you can drink mate all day.definitly check it out!
    4
  16624. Finding your site helpful. I am encountering the IVT in calculus and prefer the way you demonstrate the theorem.
    4
  16625. Thank you. I also like a handbook with beautiful printing and layout. Many textbooks are not easy to carry around.
    4
  16626. How did they write without TeX?
    4
  16627. Awesome video, I love all this commentary on these books.
    4
  16628. At 1:35 I was reminded of when my dad taught me algebra when I was young. I would always get frustrated by long simplification/cancellation problems. Knowing this, my dad made me do more of them and walk me through some. Eventually I got fed up and he would ask something like: how do we get rid of the negative sign? And I would be a smart alek and say “E R A S E”, laughing my head off. Needless to say, my dad didn’t find it so funny.
    4
  16629. Ignores transaction costs and churning
    4
  16630. One thing my teachers never told me is how key it is to get the big picture first of key concepts and then get down to detailS. Eg. on the definition of limit of a function you may get, mechanically, pretty good at dealing with all the deltas and epsilons and absolute values, but if you don't really, truly grasp the big picture of it, you will not get it.
    4
  16631. Great video; I really need/want to practice Lagrange multipliers
    4
  16632. ACTUALLY I AM IN 10TH SO i was viewing ur video so i thought u were using functions like limit which we havnt been thought but ur video was very easy to understand and thank u very much
    4
  16633. i love this whole thematic so much. im in love with you. one day i will be a grand wizard
    4
  16634. Wow that guy is my course mate😃
    4
  16635. thank you this video saved me to understand this topic!
    4
  16636. This is some brilliant content!!!!!
    4
  16637. Hello there, Sir
    4
  16638. I don't like so much to see videos to learn math, because, I never found math videos so rigorous or they're just real classes, then, I prefer to read books. I think is ok to do the problems yourself but, not the central theorems of a theory or the part of a theory (Because, I think that it could happen that you never get to the proof in your life) that doesn't mean that you can't do it, that means that probably you couldn't do it most of the time because you first need to feel confortable with the theory if you're new. (With try to prove the central theorems, I mean, prove all the central theorems, maybe you can prove some yourself after seeing some proofs of other central theorems)
    4
  16639. Nice limit.
    4
  16640. Yes.
    4
  16641. I’m soooo far away from this! I’m watching nonetheless!
    4
  16642. Dude. Since you started filming with tank tops I just can't help but look at the gainz. Keep up the good work man. Both in maths and in the gym. Best regards.
    4
  16643. Scary thumbnail By the way I love you and your videos
    4
  16644. Your entire channel deserves so much love ❤️
    4
  16645. The untold truth on the point that nobody discusses at alll!! Thank you soo much for portraying them.. I have started to work on my aptitude maths skills & it's already been a year as well as working on learning CALCULUS, Physics , Chemistry.. Trying to be much more better in learning vocabulary to implement those in my work or writings. Literally, I'm becoming adept in these day by day.. Trust me at that time my sacrifices become my inspiration!!🦋 That yes I'm proceeding like an impervious person to persue my dream 💕
    4
  16646. Very good advice. Keep up the good work.
    4
  16647. Bayes’ Theorem - Bayes is love , Bayes is life. :-) Cheers …
    4
  16648. I like turtles
    4
  16649. Really great tips I wish someone had told me as a teen— had to learn this all by trial/error, success/failure but I did and am still learning. Get the alcohol and time wasting distractions out of your life, develop self-respect, self-reliance and confidence through accomplishing goals and you can propel yourself to achieving your dreams.😉
    4
  16650. 😂 this was a great video incredibly enjoyable I definitely needed this video 😊 realized halfway through that I knew how to finish the problem and just started laughing 😂 I love it when a problem just clicks.
    4
  16651.  @TheMathSorcerer  Hmm, with college do you mean undergrad or high school?
    4
  16652. Hey friend! I’ve got the Stewart and the Blitzer. Full solutions manuals for both as well. Found both on the internet for “just a few dollars”. Interestingly I’m only 2 chapters into Algebra 1 and 1 chapter into Geometry.
    4
  16653. yess indeed... I'm very proud as a Math Teacher..
    4
  16654. our man is transitioning from Math Sorcerer to Math Warrior !!!
    4
  16655. Where r u from
    4
  16656. i'm on a roll with your inverse transform videos and you're making prepping for my test so much easier. thank you!
    4
  16657. Great video bro. I mentioned this before, but your voice is pretty soothing. It's kind of like unexpected ASMR. (Something like a Bob Ross episode).
    4
  16658. YOU ARE THE GREATEST OF ALL TIMES INDEED!!!!!!! YOUR VIDEOS ARE ALWAYS STRAIGHT TO THE POINT, I'm learning a lot from you Prof.
    4
  16659. Are you reading Understanding Analysis by Abbott? I saw the other day a video in which you had that book
    4
  16660. I ENJOY watching MIT lectures... I learned Single Variable Calculus and now I'm learning thermo. Looking forward to take more OCW courses!! Btw nice videos
    4
  16661. Man you are amazing. My current professor is awful at conveying a clear process to solve problems and this one made it super easy. Thank you so much!
    4
  16662. I ll asume this is for your students lol
    4
  16663. Jeff Bezos if he never founded Amazon (dude you look like Jeff so much)
    4
  16664. Thanks bro
    4
  16665. Bruh that book looks like something I need I am basically unable to learn without examples
    4
  16666. not a huge fan of math but if you were my teacher i would love math
    4
  16667. Love from Bangladesh
    4
  16668. love your content from egypt 🤍
    4
  16669. This video is 2 years old and only has 1000 views but it REALLY saved me in my calc class. Thank you so much for making these!
    4
  16670. How good ,I was literally confused But got it now.Thankyou
    4
  16671. Doctor Sorcerer, do you have a page or group on facebook? I want to join you
    4
  16672. I really look up to these videos
    4
  16673. I hated it when I felt someone staring at my test paper from next to me or behind me. I would put my head in my left arm and my head down so they couldn't see.
    4
  16674. Thank you
    4
  16675. anyone who lets their hair get this way is a wizard whose wisdom should be heeded and obeyed
    4
  16676. After studying Algebra, geometry, trigonometry and statistics., proceed to number theory, vector calculus and abstract algebra. Lambda calculus can be used in computer programming.., matlab.., binary it's awesome! Mathematics is the language of everything! 🎧🎶🤩
    4
  16677. I am expert at anything, that's why I am looser.
    4
  16678. I'm reviewing linear algebra right now and I decided to use that Strang book - I think its just fantastic so far, and I actually disliked his Introduction to Linear Algebra book
    4
  16679. Greetings Mr.Professor, Thoughts :- - Thanks for the Valuable Insights which is 'Self Confidence' is the Key Step in Self Study in Academics. - Thanks.. Take Care.. With regards, RanjithJoseph (R.J)
    4
  16680. Maybe some people with bachelor's degrees could also teach low or even high level physics at secondary school. Physics is just applied maths but there may be issues with content that just isn't covered in a maths degree.
    4
  16681. I totally agree!!
    4
  16682. Your study technique is very similar to mine. I prefer textbooks not YouTube videos where I slowly read sentence by sentence and paraphrase the information well and do the problems. I later return the book to my university library when I have taken extensive notes on the chapters I want to study. However, do you suggest trying to paraphrase without looking at the book because this will seem to take longer
    4
  16683. I love people who say, "math is easy. I didn't work at all, yadda yadda yadda". It's like, "Yes you did..."
    4
  16684. 6:23 Awe man, I love that so much! As someone learning on my own, I hope I can tutor and teach others some day so that I can give them an easier time than what I had in the beginning. Finding more potential in myself really helped me see even more potential in other people, too. If I can do it (in the crazy, haphazard way I've been learning 😅 ) then I'm confident that plenty of other people can do it, too.
    4
  16685. Just ordered the MVC book. Looking forward to it!
    4
  16686. Nice.
    4
  16687. I've been watching all these videos and it's been super helpful towards my attitude around math and studying. Thank you!
    4
  16688. Great inspiring channel. I am 50+ and considering studying for Maths now. Here you showed third edition for Elementary Linear Algebra whereas current edition is about 10th. Does it really matter in case of self-study or otherwise? Thanks.
    4
  16689. I remember watching "On Mathematical Maturity" from Thomas Garrity, and I can't stress this enough: go watch his talk
    4
  16690. Any books on differential geometry Morcercer? I haven't seen you do a review on Differential Geometry, I took that class and it was incredibly difficult for me, It felt like a mountain I kept falling off of, my professor provided his own notes but we made a jump to the book Reimannian Geometry by Manfredo De Carmo. I'm curious to know your thoughts on the subject =)
    4
  16691. Watching this cause my semiconductor professor wont let us use a formula sheet :( So im doing bjt and diode problems til tuesday
    4
  16692. Good morning sir from India..❤❤
    4
  16693. I am a faculty now for about 13 years and do most of my research by developing my own solvers. I have been coding for about 27 years (started out in high school). I have learnt C++, Fortran and C. There is no greater joy that i derive than formulating a problem in the form of a code and experiencing it work.
    4
  16694. thank you!!!!!!!!!!!!!!!!!!!!!!!!
    4
  16695. It's an interesting experience to re-visit a topic years, or decades, after one's first exposure. Don't be surprised if you have "lightbulb moments" on concepts that were opaque when you first saw them.
    4
  16696. I was searching on YouTube for a review on some pens. It turned out that I saw your face on a thumbnail, and I thought, It’s that the Math Sorcerer? It turned out that you have another YouTube channel dedicated on giving reviews on random stuff. You should review liquid death. Don’t worry it’s just water so It’s not anything bad. You’re very committed to making YouTube videos, and that’s why you’re getting better each time you make a video.
    4
  16697. ty I just started doing groups and abstract algebra so this is very cool and good :D
    4
  16698. Lol. It’s very interesting and fun for me to find that math professors have similar comments all around the world.
    4
  16699. Am always first no one can beat me
    4
  16700. Ongggg only milliseconds away
    4
  16701. Cool that this video has 3 extra minutes so we can learn even more)
    4
  16702. Sir, you are doing great, I'm fell in love with math because of you, accept my regards
    4
  16703. Am studying electrical engineering, i can tell that every math&physics major is able to get our theories like a piece of cake,and am not joking our theories is relatively easy to you. But it's about if you could handle real life problem like them? I don't think so
    4
  16704. Depending on what app exactly are you using....if you found a close enough or nearly identical one then there's no need
    4
  16705.  @ajeanvi11e  I think they wouldn't have asked that if they intended to bring it to exams tho....btw thx for the suggestions
    4
  16706. What grade is this math problem I’m in 9th grade btw
    4
  16707. I am a foundation year student and I don’t understand why I am studying complex proofs
    4
  16708. Good luck and don’t worry dude. Real Analysis is a pain.
    4
  16709. This was my undergrad calc book, it really is the best.
    4
  16710. Watching this after 6 yrs thank u for this I m a 7th grader
    4
  16711. The third edition is available.
    4
  16712. Hahaha, nice one
    4
  16713. broooooooooooooooooo thanks
    4
  16714. Pajeet's studying to be top of the class but hates doing his subjects, hence the procrastination. It might have been understanding if there were additional stressors like bullies or abuse, here the Jeet just hates studying and hates the subjects. Lol
    4
  16715. Play Chess
    4
  16716. i wish i had you in my teenage years. im approching 30 now and i feel so stupid compared to my peers for not having learned the critical thinking and brain development that studying mathematics would have given me.
    4
  16717. Big into weed and alchohol, almost blew my scholarship at Vanderbilt and took a couple of extra semesters to graduate, but what this man speaks is truth. I always knew without a doubt I could do it, one day I just finally decided to.
    4
  16718. Never realized you were so jacked until this vid lmao
    4
  16719. I found a copy of Linear Algebra by Lang at Goodwill several months ago cause I thought it might come in handy, glad to hear you recommend it!
    4
  16720. Thanks for sharing...
    4
  16721. Math sorcerer becoming Jim Simons
    4
  16722. Congrats on your book!🌟 Happy that you chose to condense all your wisdom into a book! Will get it!
    4
  16723. Thank you so much.
    4
  16724. I liked the purity of this video. Bliss ❤. Thank you
    4
  16725. honestly you have some of the best videos i wish i could have you as my actual proffesor. what ever they pay they need to pay you more
    4
  16726. This was a great video. You are clear, precise and rigorous. Thank you for the content!
    4
  16727. do you think about creating a discord server
    4
  16728. Your videos have been life savers! Sometimes I get stuck on my homework because I may have forgotten something from algebra, or a piece from calculus, and your videos not only help me find the right answer, but refresh me on tips or tricks that I forgot and can use in the future! Keep up the good work, your videos are great, simple, and clear.
    4
  16729. I really struggle understanding maths especially in books. Maybe I'm not just focusing hard enough.
    4
  16730.  @edwardgaming466  if you struggle with math it could potentially be a weakness/technical gap in your math foundation eg. High School Math like algebra, trig and geometry fundamentals and basics,(math is extremely cumulative and concepts build on each other sequentiallly) the other issue could be that your math practice, trying using spaced repetitions when trying to absorb math concepts and procedures, this gives your brain time to form it's own understandings of the math problem and how it works....Good Luck!
    4
  16731. Cheating on math should be unacceptable because people who take these advanced level math classes are usually going on to take STEM degrees. Doing poorly in math and then graduating with a STEM degree can put many peoples lives in danger. If you cheat in a history class or sociology class the consequences are not life threatening. Unless you plan on going on a gameshow there is no chance that not recalling significant historical dates is going to meaningfully impact anyone's life. Same goes with English, drama, foreign language, psychology, etc. That doesn't mean these degrees are worse - it just means there is less at stake if the people who have those degrees don't know what they are doing. College costs tens of thousands of dollars a year so if someone wants to cheat on language classes so they don't lose their investment I really don't care.
    4
  16732. bro you look like iroh , YOU LOOK TOUGH
    4
  16733. First here. Literally have a stats exam this sem, perfect timing
    4
  16734. this is amazing man! will be doing advanced calculus on spring, i want to prepare by watching this series. What book can I pare up with this? Thank you for your videos!
    4
  16735. I believe that People learn things different ways.... but I have to say the best way to learn something new is not by solving it wisely. You have to make mistakes to see what you did wrong and not doing it the next time you approach the same problem... in conclusion EXPERIENCE IS THE KEY...
    4
  16736. Hello sir ,I'm watching from the Philippines 🇵🇭
    4
  16737. I cannot read all of these books!! please stop with all of these books !! i do not have time it is making me sad math sorcerer !!!!!!!
    4
  16738. Math Sorcerer, can a person be a self study or self taught mathematician?
    4
  16739. Reviews of This Book showed it had lots of errors. I don't know, that makes me nervous about buying a book for $50.
    4
  16740. What an Inspiration! You are helping me tremendously. Thanks to you I am getting through my surveyor training.
    4
  16741. Hello sir You're very good In just few minutes, you explain complex things in maths... I'm really lucky to have come across your channel here on YouTube
    4
  16742. Math heads: you mean "most elite" English heads: 😂😂😂 *they share an elevated hand slap*
    4
  16743. As someone who recently started considering switching from computer engineering to computer science, this video is incredibly helpful
    4
  16744. Interesting and helpful!
    4
  16745. Thank you, I love your videos they are very inspirational. I am struggling a lot with balancing studying mathematics and getting other work done in school, life, etc. Do you have any advice?
    4
  16746. This is pretty much a grad level book!? I'm reading through this before freshman year
    4
  16747. Great advice
    4
  16748. I love how modern people think of wizards and sorcerers as different classes you could spec into in olden times instead of just people who had an education
    4
  16749. I love you
    4
  16750. the Tips on Physics book that came with my copy was absolutely gold
    4
  16751. I think once you learn to be honest and you judge your own proofs by if they really convince yourself if something is true or not, it goes some way to explaining there not be a need for solutions to problems in a text book. You can make your own solutions. Where answers are really helpful is for repetitive calculations questions.
    4
  16752. The craziest...the best
    4
  16753. Will i finally be good at calculus ..
    4
  16754. book recommendations for ap calculus ab?
    4
  16755. best teacher ❤️
    4
  16756. I recently graduated with a BSc in Maths. For three years and counting into my masters, it genuinely feels like every different subfield within Maths has a very loud yet justifiable need to be as important if not perhaps more important than a closely related yet potentially entirely different subfield. I felt this through the similar mathematical language used across everything I use, yet how the language is used can vary massively. I had a module on percolation theory, one on PDEs, and another on mathematical biology, as an example. One uses ridiculously abstract concepts to justify solutions, another uses even more abstract concepts to prove statistical results. And while these subfields can all agree on many things including the methods and language used, they are on their own entirely unique fields. Yet, as obvious as it might seem, each field adopts the language so similarly yet quite differently, and in many cases being proficient in one more than the other can make it seem like the former is better or more higher potential if potentially less people are able to grasp it properly. When properly exposed to multiple fields within Maths as all maths under/post-grads, PhDs etc do, I don't think we mathematicians are elitist to each other (at my level at least, in a Masters course), but may understandably seem otherworldly and potentially 'elitist' when we lose the interest of attention of someone who may not have delved into Maths as much as we have. After all, Maths definitely isn't easy, as many have pointed out, and it is certainly difficult to share our love of this mysterious language the way we understand it to someone who have not seen it the way we have. P.S. To make sure the last part is conveyed properly, it certainly isn't the fact that we think non-mathematicians aren't capable of understanding what mathematicians do, but the methodology of the effort mathematicians put in to understand is definitely fairly unique but is certainly achievable with the right mindset, attitude and right amount of hardwork, as all mathematicians are willing to invest into throughout their academic careers. P.P.S. definitely a personal opinion based on what I have experienced at least in a European academic setting. Certainly I cannot speak for the rest of the academic community of Maths, as Im sure the amalgamation of different nationalities, cultures, people at different academic settings all around the world will produce different perspectives and undertones of how mathematicians are perceived.
    4
  16757. Success often comes after many errors and great persistence. If you don't succeed, try, try and try again.
    4
  16758. whao dude look at those guns! pretty big guns for a math nerd!
    4
  16759. I wish i had such a book 30 years ago when i started my studies in physics. Math and calculus where absolute requirements even in the last year of high-school if you where to go for science courses, medicine and military schools.
    4
  16760. thanks a lot you're a saviour
    4
  16761. I will try for 5 days to get up early and solve maths like you said in one of your videos without i.e. outer sources and will tell my experience here.
    4
  16762. I failed in my Differential Equation course but now I have taken it again and this time I'm really learning a lot from you and didn't knew about this channel existed < 3
    4
  16763. Nice
    4
  16764. These type of problems are left hand questions for 17-18 year old child in India who are preparing for JEE Advanced!!!!!...... Most of them can do without using pen or paper.... Btw I love maths..... that's why I love this channel!!!
    4
  16765. I wished I could have a teacher like you
    4
  16766. How to do this when your a senior in engineering and your program just relentlessly kicks yours ass with no chill and you can’t afford to take a break?
    4
  16767. I would simplify it this way. Yes homework is the start of the studying process. It is where you can go thru your notes, and use that to solve problems and this helps memorise the formula's etc. The extension is where one can solve the problems without referring back to any notes because we have memorised and understood the concepts. I used to do my homework, and then for 20 minutes per night, read the textbook, starting at page 1 and reading through it with the intention of understanding and gaining the depth. Then later, like every couple of weeks, there was like a set of questions or mini-exam in the text (at Uni, one can use past exam papers) and do those as quickly as possible. There were 7 questions and i pushed myself to do it within 5 minutes and get 90%+ correct. So the mini-exam in the textbook was extra study in addition to me reading the textbook with the intention of understanding. Aim first to remember and then to understand....that was my strategy and it worked.
    4
  16768. I have to learn linear algebra next semester. Should I get this book even though I have no experience writing proofs?
    4
  16769. Take a shot everytime he says, "set"
    4
  16770. This guy made me save calc 3
    4
  16771. Such a great video and advice. Very motivational, not just for math but life in general!
    4
  16772. I was never good at maths , but I want to change that although I have no use of mathematics right now but I still want to learn .
    4
  16773. Another reason for those types of classes is that a student nasty have no idea they like a subject, or have a gift for another, and this could indicate paths for future, perhaps, advanced study.
    4
  16774. Yeah, but spare the beginners
    4
  16775. I first read "stocks" as "socks". Now I'm curious. Could you make a video on "When is the best time to buy socks?"
    4
  16776. Sir if you still active on this channel then give me ❤️ heart for watching you brilliant explanation...
    4
  16777. For one moment, I thought you were taking your Maths book into the Khazi for a good uninterrupted read!
    4
  16778. It fascinates me how math teachers are consistently some of the best people in my life. Almost always very grounded in reality, kind, insightful, well spoken... you are no exception to this. Thank you.
    4
  16779. Cool
    4
  16780. I'm getting one!
    4
  16781. Would it be the same proof if the denominator is n+2 or n+3?
    4
  16782. has visto el libro de algebra lineal de gabriela jeronimo?
    4
  16783. do you spend time reading all these extra books you have apart from mathematics? I think sometimes that it's much more enjoyable to explore and learn without any strings attached and no strict schedule, but just for the joy of learning. In college, it's just not the same but I'm managing to hold on.
    4
  16784. Watercolor
    4
  16785. Yes I have some Dover. Thriftbooks, AbesBooks, Alibris, Book Depository. Elsevier, SpringerLInk, Science Direct are the bigtime publishers but expensive. In between McGraw Hill, Addison Wesley, Harcourt Brace, Schaum.
    4
  16786. Lets interview someone?
    4
  16787.  @TheMathSorcerer  thank you for reply :)
    4
  16788. In 11th in Nepal
    4
  16789. Thank you for this Sir! <3 I can use it in our quiz later hehe.
    4
  16790. Introduction to Real Analysis by Robert G Bartle and Donald R.Sherbert is also a very good book.
    4
  16791. First
    4
  16792. you are literally the BEST teacher ever! I have watched your videos and learned the material so much easier, thank you for all you do!! It is greatly appreciated!
    4
  16793. Gotta love shortcuts! 😁
    4
  16794. Am I the only spanish speaker here? Bro, I love your videos, it helps me a lot, your motivation is unbelievable. Thanks.
    4
  16795. Please also make some videos 1. Dynamics and statics 2. Vector analysis
    4
  16796. I thought Baldor got killed by Kratos. I think this is some different timeline, multiverse shit.
    4
  16797. Maths always makes me happy ☺️
    4
  16798. cramming for a group theory test Oh yeahhhh!!!
    4
  16799. thank you, holy crap I was losing my sanity over this
    4
  16800. Thanks!
    4
  16801. This mindset and activity needs to go viral, and people need to know that it is perfectly OK and even COOL to solve a problem per day for the rest of your life, the world would be a much better, smarter place !!!!! ALSO ... if you are ever going to study calculus at university or college it is IMPERATIVE that you study ON YOUR OWN prior to ever setting foot in the classroom. Give yourself some time to figure things out, then take the class, and you will absolutely ACE that class !!!
    4
  16802. I used the same one except the 8th edition
    4
  16803. ❤❤❤❤❤
    4
  16804. Hi from France ! Especially when you think that this book was printed just after 1929 big crack !
    4
  16805. Thank you for the motivation. I have ambitions, but I struggle with motivation and persistence. I was feeling unmotivated, depressed, and gloomy. I needed this.
    4
  16806. It's cool seeing how integration is used outside of pure math and physics courses which is what most people think calculus sticks to.
    4
  16807. First to comment 🎉
    4
  16808. Thank you for helping in my homework...
    4
  16809. Thank you a lot!!! Now I know how to solve it 💖🌷
    4
  16810. You can blink from time to time like we humans do
    4
  16811. I love these kind of videos and really appreciated for your work. Big thanks, @Math Sorcerer!
    4
  16812. I just use Amazon to order math books.
    4
  16813. If you have any questions, I'll be in my office right when you need to be in your other classes >:)
    4
  16814. My Precalculus is one semester precalc algebra and one semester precalc trigonometry.
    4
  16815. I like listening to this! Currently a Civil Eng. Major in my senior year and I’ve failed a few times but listening to this helps me keep going! You seem very knowledgeable about life and I think many viewers like myself would love to hear more.
    4
  16816. Which was the most interesting book you came across?
    4
  16817. Love your proves! Keep it on dude, you are saving lot of asses around the world
    4
  16818. Calc 2 really isn't as bad as people say. Don't get stressed before you even take the class. For the most parts you'll be learning different ways to integrate.
    4
  16819. I was solving this type of questions on my math book. Suddenly i got my notification. It was a nice solution.
    4
  16820. Graduated as an EE major with a physics minor. Conceptually and on a per class basis, upper level physics classes are more difficult. Engineering students just take more classes and have multiple labs each semester, where a physics major may have one lab per semester. Physics majors are required to take the most basic EE class at my school and I will say I was surprised by how heavily some of them struggled. I'm not sure if those same people made it through electromagnetics and advanced classical mechanics. I would say that the good EE and physics students were very similar. Each major also had many students that were less than stellar.
    4
  16821. With my first linear algebra exam being tomorrow I wish I knew this before haha.
    4
  16822. Best explanation sir
    4
  16823. Thank you for the explanation.
    4
  16824. Love you thx This is my HW and now im done ❤️
    4
  16825. Best math channel ❤❤❤❤❤
    4
  16826. Not really related to the video but do you have videos solving limits of functions with two variables? I'm having a hard time with that and your videos have always helped me in other areas
    4
  16827. Love you sir,I don't have any reason,but when I see you I feel I can solve any maths sum or specifically any calculus.Love you sir🤩🤗🤗🤗
    4
  16828. This is litterally the best MathYoutube Channel EVER.
    4
  16829. I love this channel. I found it days ago and makes me feel like I'm not stupid in maths and makes me feel like I have the chance to be better with maths and more. It is not my motivation channel is my reflexion channel. Thanks for exist sir <3
    4
  16830. thank you so much!!
    4
  16831. Grande Capusotto
    4
  16832. This is the best AMSR on YouTube by far!
    4
  16833. Wow I am very interested in this book. Not only will it make me a better student but it will also make me a better teacher. Thank you professor for showing me this book.
    4
  16834. This was funny. I liked it.
    4
  16835. I really think that almost surely, math majors are not the type of people who liked math in school, since school level math is extremely different from college level math. I actually started a biology degree, but since I passed the math and physics requirements during the summer before starting the degree, I had a lot of free time in my first semester so I wanted to try other classes. One day while studying for my physics exempt exam, I told my father who is a physicist that I think that the motion equation in physics with constant acceleration looks a lot like a sum of derivatives at a point with coefficients relating to the order of derivative. Little did I know that I recognized that this is a Taylor series with a constant 2nd derivative. My father noticed that I could recognize mathematical patterns and told me to try a math class for mathematicians. That semester, I took calculus 1 and linear algebra 1 alongside my biology classes and I immediately fell in love with the math classes while being bored to death with the biology classes. Eventually I tried to get into the math major program but my high school grades were not good enough. So I did a math degree at a community college. After graduation, I did my msc in mathematics, with a thesis in ergodic theory. Now I'm doing a PhD in ergodic theory, specifically homogeneous dynamics, at another university. So it's been a long road getting here
    4
  16836. very clear and concise, well done.
    4
  16837. Thank you so much for this video! I’m a second year math major and I’m 22 and I often feel behind my peers who are working or doing their Masters degrees but your video is sooooo encouraging! I’ve saved it to my playlist(s)
    4
  16838. Professional: its okay to be stuck,it takes times not everything is important and its beautiful. School: LoL memorise formula or you are detained.
    4
  16839. at 4:57 my mind got Goosebumps like the first time i got interested in math, thats so fascinating sir, thanks for making this video, one small request sir, can you tell is there any book for trigonometry to actually derive formula like this, because ever since i know this formula i have been memorizing that formula over there until i watch this video, thanks again and have a great week ahead......student from india
    4
  16840. The reason we use degrees, rather than hours, is because 360 hours are meant to denote not a full rotation of the Earth, but rather, a half-period of the lunar cycle. 360 hours are 15 intervals of 24 hours, which is half a lunar month. As such, one hour is 15°, which is trigonometrically a very important and fundamental constant. With all of that being said, I have learned that thinking of degrees as a unit of measurement of angles is not the conceptually appropriate way to think of them, if only because, a ratio of two quantities with the same dimensionality is dimensionless, and thus, is numerically independent of the units it is measured in: there should not exist such a thing as different units for a dimensionless quantity, mathematically speaking. So what is actually going on instead? Well, what is going on is that degrees are a scale factor for the trigonometric functions. Writing sin(1°) is the same thing as writing sin(π/180). In other words, sin(x°) = sin(π/180·x). So when you change from degrees to radians, you are not changing units of measurements. What you are doing instead is rescaling the trigonometric functions.
    4
  16841. Thanks, even though I don't speak English, I speak Spanish, I was able to do the quadratic equation. Thank you very much and God bless you, friend. Greetings from Colombia. Spanish speaker
    4
  16842. I did the disk and shell method in calc 1 and it was pretty painful. Calc 2 infinite series was still the hardest for me though
    4
  16843. I'm an engineer student on my last year and what i always found out interesting about cheating is that is a pretty self-regulated thing. If you haven't studied enoguh, it really dosen't matter if you can look up the formulas since you're not going to know how to apliied them since the joke in a lot of exams is that they're a bit different from the problems you know. The most common form of cheating here is having a cheet sheet of formulas. It dobles up as a good way to finish the study process, condensing everything into a single sheet of paper and can take the edge off if you forget something critial on the test. Even so, if the formulas we have to use are a bit too dense, the professor always writes it on the whiteboard. interestingly enough i had a test on friday (2 days ago) that was pretty much the most cheatable test i think i ever had. The questions were kinda like "what is pasive and active control of a wind turbine and name each one". That kind of question is asking to be look up. Also, this is in Argentina, where university are free, and there is no curve grading or reporting of cheating with permament damage to your record and shit like that. The few times i've seen a professor full-caught a student, they let them continue with the test and only once i've seen a professor take someone's exams. If the cheating fails, at most, you are just wasting your time since you're going to have to take the exam, or the entire class, again.
    4
  16844. This video got me looking online for a copy of my old trigonometry textbook from the 1970s.
    4
  16845. Thanks, Sorcerer Cowboy. This was a good explanation.
    4
  16846. Im studying math for operational decisions for my clients. I would love to solve spme of their really hard problems. I feel im really helpful to them.
    4
  16847. I was so overthinking it. Thank you!
    4
  16848. "strange math you've never seen" Lol special functions are pretty common
    4
  16849. I'm currently enrolled in Advanced Calculus and I've been absolutely loving this videos. Very helpful. Very clear and thorough explanations. Thank you!!
    4
  16850. I remember hearing Sal Khan talk about this and I agree. I’m also having a similar time to what you described. I had to teach myself basic algebra at 21 and the pace initially felt like pulling honey through a straw before I hit the ground running and got straight As on all calc courses. Four years later I am struggling through junior mechanical engineering courses with peers in the 19-20 range who’re breezing through their courses. Might have to pull myself out and finish at community college before my gpa goes below a 2.0 but I’ll manage since I really like what I do. Thank you, sometimes these reminders are a breath of fresh air.
    4
  16851. @TheMathSorcerer can i make a request? Do you suggest any particular book that has a focus on discrete metric spaces? possibly with applications? most material i have seen mention the discrete metric or the set can have discrete elements (or both) but dont really go into depth. Any thoughts are appreciated, and keep up the good work, you are one of my fav. channels!!
    4
  16852. I studied Pinter‘s book years ago and can absolutely recommend it. It’s good for a basic understanding in algebra. Can you rigorously show that -0 equals 0? 😊
    4
  16853. I was introduced to spherical trig in an introductory astronomy course for astronomy majors. The text we used was Spherical Astronomy by W M Smart.
    4
  16854. First
    4
  16855. Could you make a video on how to self-study Graph Theory (for Maths major) and introduce some materials? Thanks a lot for all of your videos.
    4
  16856. your first video on this really helped me jump start my math journey. i am currently in high school and i wanted to be ahead so i don't fall behind when i don't fully understand everything
    4
  16857. El talento es solo estar unos pasos adelante o tener las piernas un poco más largas en una maratón. Ayuda, pero no hace nada de por sí
    4
  16858. same stands for musicians
    4
  16859. Honest question, which do you prefer writing as a mathematician, log or ln for the natural logarithm and why that?
    4
  16860. Please, could you make a video about the book What is Mathematics by Courant e Robins? I think that so many people would apreciate it. Thanks!
    4
  16861. THANK UUUU
    4
  16862. Indian here, here my two cents. 1. Only the cream layer get admitted in USA, and a much smaller minority get scholarship (This part is too important I applied to some top 15 British uni, got admitted in 4 (Cambridge rejected me after the interview) but even after 25% fee waiver I got and another travel grant and a Indian government scholarship, I could simply not afford it) and student loans are not a thing which most of us even consider. 2.Our curriculum is not more rigid and is designed for the bottom 30% percentile of student, so everyone learns the minimum basic (Which may not be possible in the overwhelming choices the US system offer). So the basics are strong and you have ample time for self study . I will give the link to my maths UG maths syllabus, noting is too advanced but a lot of "required" things are there. http://www.du.ac.in/du/uploads/Spotlights/CBCS%20BSc(Hons)Maths.pdf (Keep in mind that doing a masters before PhD is the norm) Edit: Also competition is engraved into our culture, because cracking competitive exam which selects only 5.5k students out of 9-11 lakh applicants are one of the easiest ways to climb the social ladder.
    4
  16863. Schaum's are great, however the newer Schaum's paper quality has gone downhill. The paper is closer to newspaper thin unlike the older editions. You have to be careful not to rip it! Guess they're trying to cut costs.
    4
  16864. I love even simple little math problems.
    4
  16865. My advice/response would have been, "just start taking actuarial exams"
    4
  16866. Oh thank u so much sir u cleared my concept about this topic
    4
  16867. Look at yourself like a house, finding yourself is like finding the blueprint for your house so you can know how it was built and how to start repairing it.
    4
  16868. Hi, I really want a option on something! I have a master in theoretical physics (string theory so I have a lot of advanced mathematics in non formal way, like differential geometry and topology ) and my main objective is to get to a PhD in mathematical physics (I want to do research on fivebranes and knots). So I want to do a master in pure mathematics first to get some math experience. Do you think that I have enough background to complete a master in pure mathematics , with relative good grades, with my level of degree? Thanks for your help!
    4
  16869. what are the prerequisites for abstract algebra? i have only taken up to differential equations.
    4
  16870. I am taking the mathematical analysis class this semester and at first, I was just paying attention to the professor and practicing a few questions that the teacher solved. But as I started to do every single practice problem and do some additional problems, (MAN), I saw the difference. I mean I spend the maximum amount of hours that I can afford on this subject. I believe that being obsessed with math may be a little overwhelming, but as you get used to it, you will see that it worth it and what a difference it makes.
    4
  16871. I would love a video with you going over more fitness topics! Especially specific exercises that work for you.
    4
  16872. I like these videos, but I prefer the unedited/no music or cuts ones. I think the editing makes it feel clownish.
    4
  16873. Tbh in my opinion the formula is far more useful because of its usefulness in algebra. In this one you need to set to variables to add up to b and then solve for u to be able to use it algebraicly.
    4
  16874. I still think you should review/cover Apostol's calculus texts (volumes 1 & 2). They are in a class by themselves, though their extreme rigor makes them not suitable for everyone.
    4
  16875. Nice!
    4
  16876. You mention self fulfillment. This is precisely the reason I have found your channel. I want to prove to myself that I am able to advance through the ranks as it were, however I'm unsure where to begin. My knowledge ends somewhere around 9th grade (School was a waste of time ) I would have said some 30 years ago. Since then it's scattershot. A recurring thought I've had throughout the years is that I need to have the ability, whether immediately useful or not, no matter. Perhaps one day the Extreme Number Ninja could hang with the Math Sorcerer... see I have a name picked out and everything! Any nudge or insight would surely help. Thanks for the fun videos.
    4
  16877. I Will prove this for real numbers. Let ε>=0, (1+ε)²= 1²+2ε+ε² >= 1² Now let x be such that x=1+ε, we get x²>=1²=1. Q.E.D
    4
  16878. Thank you 💖
    4
  16879. Thank you, I was overthinking this way too much
    4
  16880. I think Jacobson Basic Algebra 1 and Basic Algebra 2 are pretty equivalent - two years of very thorough algebra up through the graduate level. Each author includes high level applications of the subject consonant with their interests.
    4
  16881. Hello everyone!
    4
  16882. someone said that "those who can't do, they teach" 😂🤣
    4
  16883. Thing is job and other responsabilities often leave me with little energy left to learn things I actually want to learn. Burnout sucks as well.
    4
  16884. good luck, nice books, very nice
    4
  16885. Thank you so much ...😍 Your videos are really inspiring for all ...
    4
  16886. you're so wholesome i cant we dont deserve you
    4
  16887. Buying Dr. Knuth's books from his publisher right now, just messaged support to hopefully get them shipped to Australia!! (Volume 4B is coming out Oct 11!!)
    4
  16888. There's something that I've heard you talk about since a long time in your videos and I've always wanted to ask you about what exactly it is. So, when you say 'grad school' what exactly is it that you are referring to - undergraduate (Bachelors) or postgraduate (Masters) or doctorate (PhD). Please excuse my ignorance since I am uninitiated in such matters.
    4
  16889. Man, the most unique math channel out there... its like watching a gym motivation video or summin! Awesome! Keep it up. :)
    4
  16890. Great video, actually I teach nonlinear programming, which is a branch of mathematical programming.
    4
  16891. I'm assuming based on your coasters that you play Magic. Any chance of a video on how you experience the greatest game ever invented as a mathematician?
    4
  16892. Hey math sorcerer, love the videos, extremely educational and love your teaching style. Just wondering if there is a book you would recommend to follow along with in terms of practice questions. Keep up the great work.
    4
  16893. Yes specially for jee aspirants
    4
  16894. Thank you for the recommendation; it looks really good. 👍🏼
    4
  16895. Man, I’m just here thinking Math Sorcerer is cool
    4
  16896. 1:09 without having listened to much, unless you have a photographic memory, you WILL need notes. Also, this person must not be over 32, the time when the memories start to either disappear or grow thick with fog due to the information overload of so many things presented to the brain over the period of > 30 years. That's way too much information to just expect it will always be there. Information isn't just for tests or understanding at the time. Experience it cumulative. Age will present most of us with more memory loss than we would like to have. Having seen this first hand, I wish I would have taken MORE notes. It's nice to imagine we will always know and understand perfectly everything we know today, but I'm afraid we're all in for a large disappointment when later years come around. I really wish it didn't, but way too much of it just disappears. 4:40 we had discrete math at my school for math majors, Applied Mathematics.
    4
  16897. Whats the difference between Undergraduate and Graduate in the US?, because in the UK once you have finished school you do a Undergraduate then your Masters, Phd which are optional.
    4
  16898. On my shelf are: Foundations of modern analysis by Dieudonne and Einfurung in die differentialrechnung und integralrechnung by Landau, both among the worst of elitist math books possible. Look at what Courant, for instance, can accomplish in a very non elitist way.
    4
  16899. I assumed you started in Calculus. You started in pre-algebra......that gives hope for me as well.
    4
  16900. When I see the title : Isn't the problem too simple to make a whole video about it? When I see this guy's other video : Oh never mind
    4
  16901. But what about x = a number?
    4
  16902. Thank you for sharing your math books collection. I'm curious to know if you have any college math book on Differential geometry (Geo Diff or Geometrie differentielle in french) with tensor products, etc. Why? I struggled a lot with it during my undergrad years, back in 1993 with french math curriculum. The subject was very captivating but our professor at that time didn't teach us in a clear manner. Thanks in advance.
    4
  16903. Great video! Gauss rhymes with house.
    4
  16904. 🙏❤️
    4
  16905. I second this
    4
  16906. We are but atoms of an immense universe, doomed to die, so we should not be so much worried about our little and useless lives. Let's hope just not to suffer too many pains.
    4
  16907.  @TheMathSorcerer  Is it okay to learn Cslculus if you learn Trigonometry but skip Precalculus?
    4
  16908.  @TheMathSorcerer  Please do a video about how best to prepare to become a professor of Mathematics .
    4
  16909. Calc 3 was kinda easy, as soon as you start watching youtube before class XD
    4
  16910.  @davidsoto4394  yeah, I learned calc and completely skipped over precalc and trig in highschool. Just learn the subject as you need it. You learn during calculus that highschool drags out a lot of stuff that barely takes a week to learn for reals
    4
  16911. You should reach out to another YouTuber named Lady Izdihar. She is also a Soviet book enthusiast and could probably fill you in on more of the historical and social side of things. That would be a pretty cool collaboration.
    4
  16912. I am between calculus 1 and 2, learning one step at a time. Sometimes, I hate forgetting what I have learned, but I don,t let that deter me from learning. Also, I lose concentration at some hours of the day. Only sometimes.
    4
  16913. Hey, thanks for the videos went from getting a C on the first test to an 88 on the next test. Are you gonna bring back the moving camera? I found that it was easier to stare at the video when there was more movement. Either way much love!
    4
  16914. Calc seems kinda sus man, let's eject it from the course material
    4
  16915. Thanks for the recommendations. Will definitely check them out.
    4
  16916. If that test is important and you have a spare time, return and check it. If you are superfast you may check everything and still end before the time limit ;)
    4
  16917. Mad
    4
  16918. There was no difference in a math and physics education until modern times.
    4
  16919. Calling f-inverse a subset of A, i.e. of the Domain is nice. Very helpful!
    4
  16920. There's an easy fix: don't look at the solutions.
    4
  16921. Amazing explanation! Thank you so much
    4
  16922. Definitively agree! 👍☕✌️☕👍
    4
  16923. I am junior in high school and i got A on all my science class 5 years in a row because i love science..
    4
  16924. What do you think of Boyce and Diprima? That seems to be the work horse text on intro ODEs.
    4
  16925. Thanks a lot!!
    4
  16926. Dear Sir Thank you for introducing this book. It is so good, I always like book of this kind, strange enough, deep enough, wide enough, yet very readable. I always try to find book of this kind for any other topics in maths. Would you also kindly please advise if there is any similar book type for probability and statistics? not necessary for introductory type, it can be very advanced. Your kind assistance is highly appreciated. Best Regards.
    4
  16927. You saved me sir.🙏🙏
    4
  16928. Thx for like socrer
    4
  16929. Where's the limit?
    4
  16930. True. Standards are like cooking. I was once asked by parent to cook a meal for my extraordinarily difficult brother. Well, I tried to be a BAD cook, so that I will never be asked again. On a hot frying pan, I threw in beaten eggs, mixture of vegetables, LOTS and LOTS of hot spices enough to burn your tongue. Me being the badass b*tch 😇, I chuckled at the imagination of my brother hating my dishes and hurling insults. The whole mess on a pan came off looking like an omelette and pizza in one and something else, my new invention. I threw the slop on a plate and waited for my brother to taste it. He SCREEAAAMED and asked for second and third helpings. My cooking was backfired with positive results. ☹️ Today, he is now hooked on Indian takeaway dishes. My fault. Unfortunately, I cannot remember the invention of my dish.
    4
  16931. Thank you Sorcerer
    4
  16932. Thats not calculus thats "commulas!"
    4
  16933. If I want to solve 5 problems in math, and another 5 in physics everyday, how many years do I need to finish all the problem in books like Larson Calculus, and Univeristy Physics?!!! By the way am I the only awkward who want to solve every single problem in these books?!! 😖😖
    4
  16934. your lectures and practice problems have made me love diff eq. Thank you so much man
    4
  16935. but... I must learn English first :(
    4
  16936. Haha I'm lucky that the university I'm planning to transfer to doesn't require their math students to take Biology. Hopefully it won't hurt me later...
    4
  16937. ""So here i picked some of my calculus books" wait a second... some?????????? how many do you have!?
    4
  16938. Learning for the sake of learning is the perfect way to learn. When you finally solve the maths after 1 hr! Its undescribeable that kind of feelings you had. ❤
    4
  16939. I appreciate the math "book" vids-- the pep-talk vids, not so much🎉
    4
  16940. Jeff Bezos if he stuck at being a physicist.
    4
  16941. That's a total of 1,825 hours of Calculus. I think this amount of time will make anyone a superman in Calculus! But again it depends also on your background in Algebra and Trigonometry
    4
  16942. Yup.. it is indeed helpful 😊 Thank you
    4
  16943. Now you need to try a quill!
    4
  16944. This looks amazing, now I kind of want it. lol.
    4
  16945. Very helpful! Thank you for posting this.
    4
  16946. Damn you rock sir!!!! I'm just 19 and felt like a loser in maths. I'm also a self taught. Thanks for the encouragement!
    4
  16947. Nice vid! My oldest math book is Complex Analysis by Alphors from 1960's I think.
    4
  16948. The one simple thing that I always had problems with was being given an equation with a variable "z" and then being asked what graph was represented by the equation.
    4
  16949. When you raise a rational expression to a negative power, you can make a reciprocal of the fraction inside the parentheses and make the power positive. Usually gives fewer minus signs to deal with. Either approach works. My students aren’t big fans of negative numbers.
    4
  16950. ​@TheMathSorcerer After watching your video I'll be sure to return to my studies!!
    4
  16951. Great videos! I'd love to see a review of Apostol's two calculus volumes, sometime.
    4
  16952. thank u man
    4
  16953. Project Gutenberg has online a book on spherical trigonometry by Todhunter. Also, have you ever looked into Bowditch's American Practical Navigator?
    4
  16954. Nice 🎉🎉🎉🎉
    4
  16955. In the video you asked about the correct pronunciation of "integers" = Z for Zahlen in German. Use a "t" sound at the beginning because its a Z not a S. So basically say "Tsalen"
    4
  16956. just do l'hopital
    4
  16957. Here’s a random suggestion for a mathematics book worth owning: Mathematics and its History by John Stillwell.
    4
  16958. Indian Colleges teach differential equations in second semester itself.
    4
  16959. -1 for not using "whence" or "put" in writing. +2 for the new look. As always, great quality video with a well explained topic.
    4
  16960. My physics teacher didnt believe in the moon landing LOL.
    4
  16961. Thank you so much!
    4
  16962. why are you uploading these random short videos suddenly ?
    4
  16963. This is life! Thank you for saving my GPA
    4
  16964. I just bought Silverman's calculus after I saw this video and it's beyond excellent!
    4
  16965. Really enjoy your short format videos, easy to watch and inspiring. Prealgebra next semester and haven't had my nose in a math book in 3 months, I got to get back in the saddle and start putting pencil to paper!
    4
  16966. Big brain
    4
  16967. By the way your lecture is very helpful to me . thank you sooo much sir .
    4
  16968. Sir Can You please Do A Review Of Your Schaum's Outline Collection. Every single time I watch your Videos I wonder which book is hanging there in Your bookshelf.
    4
  16969. 4:00 in the morning? Only mad-dogs and Englishmen should be up at that hour! Anybody who wakes me up at 4:00 had better be doing it because the house is on fire or something, or there will be heck to pay.
    4
  16970. Please review "Mathematics Form and Function" by Saunders Mac Lane!! :)
    4
  16971. Going to buy this book right now! I’ll study it this summer as prep for grad school in the fall
    4
  16972. i use Khan Academy haha
    4
  16973. him: we’re gonna study proofs!! for the first step on learning math!! me, who visibly struggles with math: okay o.o
    4
  16974. Thanks, Man! These are great!
    4
  16975. Dear Math Sorcerer:Great book. Please do another video using the book and do a calc of varation problem?
    4
  16976. My favorite part of this video is where you state you achieved mediocre results studying Physics I, and II but aced Physics III. That's so counterintuitive. It's a little like saying I received mediocre results study single variable and multivariate calculus, but when I hit differential equations I nailed it. My experience with science and math topics is you are definitely building on what you've already learned most of the time. I wish you'd spent more time trying to explain why. If you even know. Maybe a topic for a stand alone video. As always, great video. I watch them all, Sorcerer.
    4
  16977. We can see more: If G is not abelian and f:G->H and multiplication in H is swapped ( x (*H) y :-= y (*G) x ). Then f(a) = a^(-1) is an isomorphism. Is swapping allways isomorphic? No! There is a Loop (Quasigroup with neutral) with 5 Elements and swapping is not isomorh.
    4
  16978. idk why i struggled with linear algebra. I didn’t struggle as much with calc 1 and 2 as I did with linear algebra for some reason
    4
  16979. "Sorry, this course cannot be shipped to your selected address."
    4
  16980. Thank you so much❤️
    4
  16981. cool
    4
  16982. I noticed that you do not have very many reviews of statistics textbooks. Is that something you are considering doing?
    4
  16983. I have learned it on my own! It's a nice subject but I'd like to apply in navigation but my engineering degree is far away from that. Nice video Sir!!
    4
  16984. Math is not a race. Enjoy the journey!
    4
  16985. Math programs should really prioritize algebra before calculus, even for majors and those with high school experience. A mandatory course in "advanced college algebra" would have prevented me from failing later math courses because it wasn't the calculus that I failed at, but the algebra. I didn't know what I needed to know. Also, there should be a mandatory course on study methods for math, covering topics like "how to read a math book," "How to use a math book," "how to really study math," etc. Kids don't know this stuff, and it makes no sense to me why professors and colleges don't teach it. There should be a course like this for all disciplines.
    4
  16986. I stopped doing Maths after highschool and I did the foundation paper but I'm almost finished watching this video 😂
    4
  16987. I would say Stewart.
    4
  16988. Great video, thanks!
    4
  16989. I was staring at this problem for an hour, no idea what I was doing wrong. Thank you so much!
    4
  16990. Great sharing! Ive just order this awesome collection from amazon .mathlover from HK😊
    4
  16991. In my country it's not possible to jump from a bachelors degree to a PhD without going through a masters degree .
    4
  16992. I literally just put in an application to double major in math and physics.😐
    4
  16993. 💗
    4
  16994. the auto generated thumbnail is not doing you a favor at all
    4
  16995. superb
    4
  16996. This man is Gold!!
    4
  16997. Thanks it war helpful
    4
  16998. this is gold!
    4
  16999. Thank you for the inspiration! I'm a second year electrical engineering student and over the summer I watched your Differential Equations lectures to get prepared for my ODE class this semester and I am constantly referring back to the notes I made while watching your lectures. You are an amazing prof. Cheers, hopefully I ace this ODE class
    4
  17000. Very helpful 😊
    4
  17001. I have a one major problem. I easily forgot what I've learned recently and it really pisses me off. I can understand it even it is really hard but recalling things are my worst nightmare. Any advices please?
    4
  17002. What if you had something like "n+1" in the numerator? You would then want to make the numerator bigger, right? And how? I have the problem 2n + 1 / 3n^2 + 2 I can make the denominator smaller by making it 3n^2, but I don't know what to do after that.
    4
  17003. woah woah this book should be illegal. 🙃
    4
  17004. I'm confused. Is this your hairstyle before lockdown?
    4
  17005. The inner computer nerd in me loves these older but still relevant books. There was also a series by Koza called Genetic Algorithms (? I think I got the author and title correct). I recently saw an indirect reference to this method in a quantum algorithm for protein folding. What's old sometimes become new...again?
    4
  17006. Do you read the whole book or just the stuff you need (for example some topic you didn't understand or some topic you want to get better understanding of)? My seniors are suggesting only to read books when I have some problem understanding some topic in lectures. I'm in my first year btw.
    4
  17007. You live in a picturesque place! Whatever your gig is, Sorc, keep it going!
    4
  17008. Can you please also take a look into a book by N.Piskunov it is called "Diffrential and Integral calculus"
    4
  17009. Comienza por el principio. Aún en matemáticas hay muchos principios.
    4
  17010. Hi professor, thanks for another great video!
    4
  17011. Thanks for this book info. Awesome!
    4
  17012. Thanks for the motivation. I'm currently struggling with Differential Equations and I'm really afraid of failing. This semester the average on the first test was a 2.6 out of 7 (we use a weird scale of 1 to 7 for grading in my country), so this year DE has been particularly hard, but anyways, let's hope for the best. Greetings from South America
    4
  17013. Practice and time. That's what I've been telling people since I graduated from high school and I hear that from my professors all the time too. Great video for those who didnt know.
    4
  17014. Am only math-adjacent (physicist) but it's cool to see the 'bibles' of mathematics (in particular both Rudins are so famous even we know about it)! If you want some equivalent 'standard reference' in physics you have Jackson's 'Electrodynamics', Sakurai's 'Modern Quantum Mechanics', or Landau's 'Mechanics'
    4
  17015. I always ask myself, “What would The Math Socerer do?” 🤔 I thought Christian Slater at the end of “Pump Up The Volume” also said, “Stay hard!”
    4
  17016. Comment from India
    4
  17017. Thank you so much man. Today was my first day of stats and im scared as hell haha. I got an A in calc but so like i was decent in math topocs before but this one i just am going to rely on your channel to survive lol. Thanks again for this video
    4
  17018. I love u. You are so right
    4
  17019. Ok so ten minutes, I see 3 sorcerer dolls wich means 3.333333333 min for each one Greetings!
    4
  17020. Heck, a few days ago I made a weird decision that seems to be playing out well. I had been homeschooling on Calculus Two material and had just gotten past all the different methods of Integration and was now headed into all the Applications, you know, word problems. It occurred to me that it's really been a while since I did word problems. In Calculus One there was Related Rates, and I took that at the local University. I had home schooled myself on Differentiation, but hadn't looked over the section on Related Rates, and never really understood the importance of the Implicit Integration angle it. I got by with the course by mechanically figuring out how to do the problems to get the right answer, but recently took the time to go back and do the chapter with my eyes wide open. But then I thought about all those old Algebra and Trip Word Problems, where one has to read the givens and then set everything up. The Text my local university uses for Algebra and Trig and Pre-Calculus is Swokowski's 13E, and I recently found that Stewart, famous for Calculus Textbooks, did a Algebra and Trig 4E (a BIG book) and I bought it and wondered why. But, yeah, I decided to just take some time and go back and get used to Word Problems again doing operations that SHOULD BE second nature by now. You know, to get back into the form of drawing diagrams and assigning variables and all that. Oh, it does remind one of how useful Calculus can be. Yesterday a problem gave me a certain length of fencing material and property up against a river bank and asked me the area depending on certain ratios of length to width. But, yeah, it was easy enough to turn it into an optimization problem. Going through the Swokowski (I had to buy a new copy... the copy I homestudied from for 4 years was discolored and in tatters... I used to work in Dry Erase which got on my fingers and so the pages darkened over time, and I didn't keep pencils around and so marginal notes were in pen, and some of them REALLY Stupid (long ago, far away). But it was fun going through problems that I remember having spent HOURS on (how we take for granted the algebraic axiom that if we have two things that come to a Total, and that the first thing is related to A and the second thing related to B then we can express A*X and B(Total -X). So yeah, not all decisions involve moving forward. Review is something we all gotta do too, right?
    4
  17021. Is tensor calculus studied in a math major?
    4
  17022. Great vid! I learned Calculus in HS using Howard Anton book. Still got it.
    4
  17023. i always wanted to learn about topology but they don't offer the course for engineering students i gotta pick up a book. please make more topology videos that would be awesome
    4
  17024. Cool. now I can prevent these from happening
    4
  17025. I love math but don’t like the idea of any job very much. The best I can think of is being an online tutor but I feel my extreme introversion would make that a little hard. And Finances bores me greatly haha. I’m just lost in the mist right now /:
    4
  17026. The beauty of math can sooth its difficulty. Math feeds human eagerness and curiosity to know how things work by building a model or a theorem. Math is a noble discipline, and it deserves to be studied with motivation and discipline. Then, gradually you tend to love it.
    4
  17027. saved my life
    4
  17028. Hello, sir. I am from Indonesia. may I make a suggestion? for there are subtitles in Indonesian. I majored in mathematics education. I really like your video ❤
    4
  17029. Al que madruga dios lo ayudan dicennnnn
    4
  17030. Wish you could do real analysis I and real anaysis II videos.
    4
  17031. 5:20 You come across a lot of differential equations in engineering after all. In my first year mechanics course, we had to solve a second order differential equation for damped oscillations.
    4
  17032. Good video sir. I am starting my calculus journey in late September. The school I went to adopted the British GCE A level secondary school qualifications where you choose 3 or 4 courses to study over the course of 2 years. I did not select math, and what little math I did was the math in chemistry,which, for the most part, isn't very complex. My other courses were mainly humanities (which I did enjoy and excelled at) but I really do love Chemistry and science as a whole and to study it at uiversity I need that math qualification. Wish me luck!
    4
  17033. I've got LOADS of Dover math books in my private math library!! Dover is the BEST!! :) :) :) :) :) :)
    4
  17034. Can you review Artin's Algebra?
    4
  17035. Thank you, it helps a lot. I do not know if it is good or not (you said that it is), but I have a lot of big goals to archive, and I am still young.
    4
  17036. you saved my life.. thank you
    4
  17037. Math of data science; fourier analysis; principles of applied math; mathematical methods in financial price analysis
    4
  17038. Studying for finals this really helped out thank you
    4
  17039. You may have pulled me out of the abyss for my due date.
    4
  17040. I used that book for my differential equations class, great book!
    4
  17041. I can absolutely guarantee he has no issue with 'control of the classroom.' He speaks quickly to cram as much information into a lecture as possible, and I gotta say that it definitely works.
    4
  17042. I only bought one book after watching this video! I am getting ready to take combinatorial analysis and graph theory at Wright State University, (Ohio) next semester. I am very excited for my first graduate-level math class!
    4
  17043. Es el mejor libro del mundo
    4
  17044. if you use the link that says "this ones better", be very careful with that model "CAS". None of my professors let me use it because it can solve algebraic equations. If you get nspire model, get the non CAS one
    4
  17045. THANK YOU SO MUCH👌❤👍
    4
  17046. Awesome vid, I've been putting off starting my physics degree for years now because I was afraid to take out a bunch of loans, but this really just makes me want to go for it for some reason. Gonna buy this for sure.
    4
  17047. More vlogs or riot
    4
  17048. I miss the good ol' calc 2 days. With Matt Way and the math sorcerer. Great video!!
    4
  17049. Read the thumbnail wrong.
    4
  17050. I feel the same way about the Larson pre-calculus text (2e). The later editions took out explanations which I thought were best to leave in. The section on finding asymptotes truly suffered in later versions. Have you done a review of these books by chance?
    4
  17051. Can't imagine being in such an awesome interactive environment lol
    4
  17052. serge lang seems like one of the rare gems who really care about you
    4
  17053. First hahahaa, excelent video. (btw, good sword)
    4
  17054. Thanks, this was great! Now I'm in the mood to try more problems from Spivak's book!
    4
  17055. The size of the bets compared to your capital can make or break any system. From Wikipedia: In probability theory, the Kelly criterion (or Kelly strategy or Kelly bet), is a formula that determines the optimal theoretical size for a bet. It is valid when the expected returns are known. The Kelly bet size is found by maximizing the expected value of the logarithm of wealth, which is equivalent to maximizing the expected geometric growth rate. https://en.wikipedia.org/wiki/Kelly_criterion
    4
  17056. Hello 🙏I'm from India and preparing for Jee exam which is for high school students and we also go in depth of the subjects. Some consider these exam superior to high school level so I think we get good exposure about the subjects, not 1 but 3.i.e of Physics, chemistry and maths before starting our undergrad studies . I think that would be the reason.
    4
  17057. 6. Shitty options for writing math digitally. Ex - LaTeX That's because there's a myriad of different packages and if you wanna do a specific thing, welp you're gunna have to spend a bunch of time looking into long manuals.
    4
  17058. muchas gracias, este vídeo me ayudo para entenderla mejor
    4
  17059. Hey u r doing great please don't stop doing these.
    4
  17060. Love the shirt.
    4
  17061. Imagine
    4
  17062. Thank you so much
    4
  17063. Good morning sir
    4
  17064. Thanks for the help!
    4
  17065. It's juicy that by multiplying the coefficient of the harmonic series by just (-1)^n over n we get convergence. Great video as always, keep it up my man!
    4
  17066. I fully agree: You should definitely take notes. I always did during lectures. A rare exception might be when you already know everything. Even then you might want to write a few things down, a few specific points. I even sometimes used a voice recorder. As to math, I learned everything back in high school. So, I didn't need to keep any notes whatsoever. However It doesn't mean I didn't take notes. I did all that years before from numerous math books. That's because math is not just understanding and solving Olympiad problems. Most people found it ridiculous and weird that I studied most of university math courses back in high school. But that's how it was for me as I was doing math 24-7 in HS. Back then I thought I would be a mathematician but life has funny ways. I'm still a mathematician to a little extent, I guess, and always will be no matter what else I do in life.
    4
  17067. Thanks for the video. I put "All the Math You Missed" on my Christmas list.
    4
  17068. Can my 10 year old use this?
    4
  17069. For more hands on people like me graduate mathematics are really not practical in most meaningful ways, it's no wonder people are not interested. Yes you should probably know some general and algebraic topology, probably a good algebra course, have a solid background in manifolds, but going through a four semester sequence of functional analysis or knowing the manifold set theoretic constructions of the foundations is overkill. Along with that chances are your number theory will not be utilized much and your classical geometry is insufficient. So there are ways to make your mathematics education practical if you know when to stop.
    4
  17070. What I am currently doing is choosing every Sunday a set of problems for calculus and chemistry to solve during the week and I work on those every day, if I have not finished them by the end of the week I can not watch the weekly episode of One Piece :v Love from Colombia!
    4
  17071. Since it’s a limit you can kinda break the rules of algebra In the top term (9x^6-x)^1/2 , the x is redundant at infinity due to the presence of a larger power so you can just evaluate the top term as (9x^6)1/2 which is just 3x^ For the bottom term where you have x^3+1, the 1 is infinitely small next to infinity, so the equation can be approximated to 3x^3/x^3 which is just three Understanding how infinity works with limits can save you a whole lot of algebra
    4
  17072. I needed this video so badd! Thanks bro 💯
    4
  17073. I don't really remember things for very long, but I'm okay with that. I find myself re-memorizing the common angle identities in trig quite often because it's handy for efficiently folding space in raymarchers.
    4
  17074. Thank you for talking about women in math!
    4
  17075. Lol, it’s fun to imagine anyway
    4
  17076. Yo!!! I am taking calc 3 and Diff EQ right now, and I knew EXACTLY how to finish an entire homework for CALC 3 exclusively because of the explanation at the beginning. I was even able to help out others in my discord chat even though we haven't even touched on how to do this exactly. It was beautiful! I knew everything I needed to get through a homework filled with a bunch of problems I had never done.
    4
  17077. Why does cosh - 1/h = 0 and sinh/h = 1?
    4
  17078. 1:16 Me In Real Life
    4
  17079. Very crisp. Very helpful.
    4
  17080. Unfortunately not all expertise are profitable
    4
  17081.  @electric0618  that's a common assumption.. but reality is way more pleasing... There is an old saying " Jack of all trades but master of none " we should make sure we are not the Jack.. and then reality can be seen.. if we try not to be jack.. with passion...
    4
  17082. Learning is an act of triage.
    4
  17083. It’s a nice proof and a great use of proof by induction, but I don’t think induction is necessary to prove the result. A much simpler proof is that since x^2-1=(x-1)(x+1), 2^(2n)-1=(2^n+1)(2^n-1) Now upon division by 3, 2^n cannot have a remainder of 0 (for it has no prime factor 3) it must either have a remainder of 1 or 2. Suppose it has a remainder of 1. Then 2^n-1 is divisible by 3. Likewise, if it has a remainder of 2, then 2^n+1 is divisible by 3. Hence 2^(2n)-1 must be divisible by 3.
    4
  17084. I don't know if you know that book, but review of An Introduction to the Theory of Numbers by G. H. Hardy and E. M. Wright would be awesome (it's my favourite book).
    4
  17085. Unfortunately all my classes are online and I’m living at home this semester... 😿
    4
  17086. Thank you!
    4
  17087. Math has given me a better hability to communicate with other people, it also made me able to get a gf and so on. But I agree with what you said. However, I don't think math isolates us from others, with the right approach we can connect to people in a different manner.
    4
  17088. Everybody loves monoids!
    4
  17089. The Math Sorcerer is absolutely right. It is never too late to attend college. You will know when the time is right to go, and you will be a great success. My best wishes for your academic endeavors.
    4
  17090. At high school in the 1970's my German class studied Göttingen, it's pronounced Gurttingen not Gottingen due to symbol over the o which I forget the name of.
    4
  17091. You take time out to help students with positive messages. I thank you. We thank you.
    4
  17092. I the thing u need alot in math is a good table and a chair and a quiet room., which most people dont have lol.
    4
  17093. Perfect!
    4
  17094. first one:)
    4
  17095. Got to say at my level finding manipulation of numbers just incredible (basics) literally in awe how what looks to be a right hard sum can become easy with proper technique
    4
  17096. More videos on computer science books please.
    4
  17097. My weakness out of all of them is guarding your time. Youtube rabbit holes are an issue.
    4
  17098. You deserve more than 100 million subscribers 😌😌
    4
  17099. 0 is an element, therefore the set is non-empty.
    4
  17100. √16
    4
  17101. Thank you
    4
  17102. Hey sir I am you're new subscriber. You're math videos are really good 😊☺.
    4
  17103. And here I am...watching this video instead of studying math😂😂
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  17104. Proofs are pure logic patterns. To learn to write proofs (without worrying about hardcore math concepts), just get a propositional logic book and learn the rules. The only math knowledge required to write proofs in general is basic Algebra. Associative/Commutative properties of addition and multiplication, Distributive property, and knowing the negative of a negative is a positive. That's about it. Almost no other math is required to learn how proofs work in general. If you ever tried programming, the very first thing you do when writing a program is define your variables. Then you use the variables. And you end with some result. Writing a proof is doing this same process. My book of choice: "The Power of Logic" (5th Ed) By Howard-Snyder, Howard-Snyder, and Wasserman
    4
  17105. Great recommendations sir! 😄👍
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  17106. this is good stuff, thank you
    4
  17107. Great story!
    4
  17108. Don't response had a math trauma, because my adhd, additionally to my childhood trauma... Both might be solved now; probably because my working memory failed (ADHD+childhood trauma both interfere with working memory) Math trauma as well; extreme divergent thinking
    4
  17109. I've been watching your videos for a bit now and I like how its evolving this way. please keep up the great work.thanks
    4
  17110. Would you recommend linear algebra done right by Axler as a beginner level book? I ask this as I plan to either self study linear alg or take it next year with this being my first exposure.
    4
  17111. Is there a geographical or physical meaning to Laplace transform?
    4
  17112. I’m proud to say this was one of my first investment books read it twice still don’t fully get it 😂😅
    4
  17113. This helped a lot, thank you very much
    4
  17114. anyone have any cool techniques to keep your mind fresh after 4-6 hours a day
    4
  17115. In India this method is used in our School 🏫
    4
  17116. The Wikipedia entry for Mir Publishers says it survived the dissolution of the USSR, was later privatized and expanded with the acquisition of several other state publishing houses. A google search turned up quite a few results, so you might be in luck.
    4
  17117. Tip the table over, then place Pinter on it. And if you really want to get the chicks, put Grove on top.
    4
  17118. Ok hold up, I'm 16, I love physics and math, and I'm failing except I'm a girl and taking aps
    4
  17119. This video helped me a lot. Thank you!
    4
  17120. It's stated as a prerequisite in the preface...
    4
  17121. brother this video save my live, teacher in my country dont have this feeling. English is no my first language, but I can understand clear.
    4
  17122. Get his man a cape
    4
  17123. Good morning Sir, great advice!
    4
  17124. In general the number (a+bi)^(-1) is equal to a/(a^2+b^2) - bi/(a^2+b^2)
    4
  17125. My native speaker language is Spanish, so for me the best language is Spanish but I speak perfect German, which tends me to have very often a glimpse into the German bibliography available in almost every subject. If you are not German and you never went to school in Germany then you will have more struggles to understand any German textbook. Since English is the leading language in science worldwide, knowing the English language is essential, a must. Occasionally I check out Russian texts to make things more interesting. It all depends on what you are interested in most. Cheers! Congratulations and lots of success for your new podcast project. Cheers! Счастливо!
    4
  17126. Being able to Teach yourself is the most important life skill I believe :)
    4
  17127. I'm struggling so hard. SO HARD with intro to advanced calculus. I am terrified lmao
    4
  17128. It's very useful in Astronomy and navigation.
    4
  17129. 0:30 so professor is a Hooper
    4
  17130. I hate Linear Algebra actually but i am love with calc 1-3 in fact i am going to study diffrential Equations and i feel i will be good at it as i was in calc1-3 & love physics some advice please ♥️
    4
  17131. Another genuine was the Armenian mathematician Sergey Mergelyan who made the mergerlyan’s theorem
    4
  17132. Jay Cummings loves to use as many trees as possible 😊
    4
  17133. Wise words!
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  17134. I love Schaum's editions. Short theory, many solved problems and plus challenging problems.
    4
  17135. I haven't self-studied much, but the few times that I did, it was amazing. I actually remembered the content in the long term and somehow enjoyed it much more than learning things in school or university. I hope to continue to self-study after I graduate.
    4
  17136. First
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  17137. 4:16 omfg! Same! Being an INTP i can totally relate to you!
    4
  17138. The problem with learning Math at a late age is justifying the time spent. Why should I spend all that time learning something I won't have much time or opportunity to use? But I have to do something with my time, and nearly any activity is a learning experience, which means prioritizing my goals.
    4
  17139. Sir you're da BEST thank you alot
    4
  17140. Let's talk about that so we won't be lonely, mate. Really, where I study they aren't lonely, maybe I'm the only one lonely, no kidding.
    4
  17141. Thank you SO MUCH
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  17142. I wish I had heard this when I started engineering 26 years ago. Fortunately I never gave up. Thanks for your advise, you and your channel rock!
    4
  17143. Omg u really helped mee. I was sooo confused. I didn't even know that x and y were vectors.
    4
  17144. Thank you Sir! I need to improve my focus!
    4
  17145. Been there done that. Failed linear algebra twice
    4
  17146. If your equation represents a sequence then the left-hand side reads b sub k while the right-hand side is the definition of each b term in your sequence. To find the first four terms of the sequence, we want to compute b sub 0, b sub 1, b sub 2, and b sub 3. b sub 0 = 1 + 2 (0) = 1 b sub 1 = 1 + 2(1) = 3 b sub 2 = 1 + 2(2) = 5 b sub 3 = 1 + 2(3) = 7 So, the first four terms of the sequence are: 1, 3, 5, 7. I find that rather odd.
    4
  17147. A little correction: For the second group you mean (R\{0}, *) instead of (R,*). (R,*) is not a group of course, because 0 has no inverse here.
    4
  17148. i think the most important thing to do math is 'Patient' is it right ?
    4
  17149. Who was the argentinian advisor? I'm from there :P
    4
  17150. this video, was in fact, helpful to someone out there in the world ;) thank you
    4
  17151. I learned in college that my math teacher was really good at explaining my physics, the physics teacher was great explaining my chemistry and so on. Sometimes the subject teacher gets hampered explaining their own field because they know too nuance to state things clearly.
    4
  17152. Once flash is installed. Please close PC Load letter. xD
    4
  17153. I bought it!! I bought "the one you saved for last," I got: "Intro to Topology" by Gamelin & Greene, based on your recommendation in this video!! It looks just like your copy! (I can no longer call it a coincidence when you break out a book that I have lol) I passed Calc lll with a C+, I'm taking Linear Algebra now, so this is way over my head, but every time I get stuck it motivates to do well so that I can make it to Topology, (it's not a soap opera, but still have to know what happens next after each class!!) Lol.
    4
  17154. You got a new subscriber here!
    4
  17155. What are usually your goals? Getting my degree isn't a goal for me :(
    4
  17156. This is really cool, thanks!
    4
  17157. Actually to say, reading maths, is a joke in the place where i live. It is ridiculed to read MATH
    4
  17158. Thank You for your words of encouragement. I am trying to learn Programming by self study method. Ohhh boy... it is hard... what an adventure...
    4
  17159. I needed to hear the last one. Thanks
    4
  17160. Thanks for the video.
    4
  17161. You should check out intro to analytics by Richard Beals. I heard it is a great book.
    4
  17162. This is so well explained! Kudos to an awesome teacher
    4
  17163. Great advice, I needed to hear this.
    4
  17164. My teacher shares your videos in WhatsApp group for linear algebra. Would have been better if u upload theorems on linear algebra
    4
  17165. Another way,. To learn as stressless as possible. See yourself through one problem at a time. And savour the accomplishment.
    4
  17166. I know it comes with practice, but I get lost at the start when constructing the initial compositions needed to attack the problem. Knowing what works, what doesn't, or how to even form the construction once the problem has been correctly interpreted all seem to be missing when I need them present. Thanks for that run through.
    4
  17167. I judge the character of a man by the way he treats his books, and smelling them is Grand Master Wizard tier.
    4
  17168. ❤❤❤
    4
  17169. Hey Sir 😊. How are you? ☺
    4
  17170. I really love this short but insightful examples. Please more of it!
    4
  17171. I have a Math phobia since I was a child. Where I come from if you made a mistake the teacher will hit your hand with a ruler. I grow up disliking math and when I go to a job and I knew there was a math test I never show up. Omg! Never thought I would say this, never told to anyone.
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  17172. Second row now Sir !
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  17173. Idk about a large math department. For my undergrad I went to a school with a HUGE math "department" and department is in quotes because it was not actually a department it was a faculty. It was enormous and deeply impersonal. I wouldn't want that for grad school. The smaller the better honestly. Would love to have that connection that was missing in my undergrad.
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  17174. You proofs are indeed magical
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  17175. I am not good at grasping pure math proofs while I fare well in applied math. I think I am miles away from being actually good at math.
    4
  17176. As a Brofessor from another mother, I approve of this my brotha
    4
  17177. helped a lot with disccrete math in college!,also nice hair man!
    4
  17178. I’m learning on my own, away from the academic structure. I don’t think the Stilwell book is as complete as most, but he helps me to see the big picture better. He’s enjoyable to read either as an intro or as a summary. Less details but beautiful mathematical thinking.
    4
  17179. Absolutely
    4
  17180. Be ssuccess❤❤❤❤❤❤❤❤❤
    4
  17181. I'm loving this book review series. Keep up this work! :)
    4
  17182. What's the probability that the words Corona virus will be a hot search topic in the days ahead?
    4
  17183. Indeed, understanding the definitions, coming up with examples & counter-examples develops one's intuition about the subject. "Ya gotta know what we're talkin' about!"
    4
  17184. What is span of a empty set?
    4
  17185. The joy of self study is really great and awsome in any topic in particular in my case in math, the pleasure has no price and that give the strenght to continue to go deeper, but I see it like a tree, the main branches are given by an undergradute plan. (My particular case is undergraduate)... "The joy is in the detail". And as a cliche "The top of one mountain is the bottom of the next, so keep climbing".
    4
  17186. If you’re the Math *Sorcerer*, wouldn’t that imply that you were just born good at math?
    4
  17187.  @TheMathSorcerer  its the standard in Europe
    4
  17188. thnx :D helped alot!! was not explained (just vaguely ) in the book (all the rest in the book is so good explained though), so now I understand how to do it!! :D
    4
  17189. Thank you
    4
  17190. THANK YOU FOR THE EXPLAINATION I UNDERSTOOD IT REALLY WELL
    4
  17191. Hi
    4
  17192. Thank you for this!
    4
  17193. Thank you, your solution is correct!!!
    4
  17194. Thanks a lot for your great work ❤❤❤
    4
  17195. I would love more videos on self-study, and in particular, self-studying efficiently. For example, in my experience, one of the most difficult things is balancing what one reads and the problems one attempts. After all, if we attempt every problem in some proof-based books, a whole problem set would take hours, and even days to complete. So most of your time is spent on problems rather than learning new material. But again, problems are still necessary to master the material. The question is how to balance these two so I'm studying efficiently but also effectively. You probably have much more experience than me self-studying, so I just want to know what tips you have in this particular area, mainly of balancing your time and having efficient self-study. Do you do every problem? Do you read future sections and attempt unsolved problems from previous sections every day? Do you write down your solutions when you self-study and save them for future reference? I would love to know your input. After all, efficient learning means more learning.
    4
  17196. You forgot, "I peed on a cricket". I've never heard a math professor say that.
    4
  17197. Who would’ve guessed Bezos was a math teacher and had hair at some point. You can clearly see him at 0:02 trying to remember the name he was going to use as a disguise.
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  17198. Ya I am a comp engineer but I am doing an EE class right now and it’s basically just stuff in physics but with a more “practical/applicable” focus to it. Still have. A lot more to go. However Physics might be the hardest imo
    4
  17199. you do some great lectures sir!
    4
  17200. Hi Math Sorceror love your videos! Wanted to know -- could you do a day in the life style video? Like show us what time you wake up, breakfast, hobbies or errands, work or studies? Or you could do a day in the life of how you used to study in undergrad or graduate studies? I would really enjoy that thank you have a good day
    4
  17201. I don't know much about this. I can only wonder what I was wondering about Real Analysis: Why do you need G or H or anything else to be closed? If G = R, then it's not closed. If it's not R, where are the end brackets? OR, is this just a general case proof and the details will be supplied in the specific problems where this aspect of math is used?
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  17202. hi sir! i have a question for you,it may be kind of broad when you go to the gym,as the time passes you can see your progress in your body and in the amouts of weight you are able to lift my question is: what would be that measurable changes you can observe when you study math? what would a "mathematically jacked" person be like?,how do i know if im making math gains not your everyday comment hahaha :)
    4
  17203. Great advice on seeking different resources. One of the best professors I had during undergrad never assigned a specific textbook for his classes. He always emphasized that we may find that some textbooks may do a better job than others on certain sections, and the importance of exposing ourselves to the different approaches authors take.
    4
  17204. Awesome, thank you. It's such a good feeling to finally understand how to use a method like integration by parts!
    4
  17205. You are
    4
  17206. How l gel this book?
    4
  17207. Yea but what about the proofs you can not produce 😅😅
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  17208. I just love maths❤️ but i hate science the most..
    4
  17209. Thank you Professor! This was actually a perfectly timed video for me because I seem to have been doubting myself recently and getting stuck in a negative loop.
    4
  17210. Very excited to study discrete mathematics and linear algebra with your recommended books and Your YouTube videos wish me luck🍀
    4
  17211. Hi, I am new to your channel, while I am not a genius I think I'm very good at what I do. Sometimes, just starting something can be very difficult I am in the process of drawing a visual representation of netstat in a web browser. I'm using SVG. It took me weeks of procrastinating l, but I started, wasn't easy and it took me a couple hours just to get the basics of what I wanted to do, a correct design, then some of the code and math behind it. While I am very far from completing, I think a well thought out plan, and a good visual design, would be better to do first, for a complex topic like this
    4
  17212. What a GREAT perspective from which to look at things!!! Thank you lots, MS!!! :) :) :)
    4
  17213. 😂
    4
  17214. I needed to hear this ❤
    4
  17215. As a grokking comp sci student lacking in the math department, I decided to take abstract algebra this semester to improve my understanding of math, proofs and grasp abstraction better. Since teacher is superb, and the subject matter is hard(for me), not only do I not dare to miss a class(don't want to fall behind), I look forward to attending them because they are fun(a good challenge is always fun), and as a consequence, I have adapted most of these habits.. Naturally, a good teacher can(and will) have that impact, especially when they demand more from their students, which can really reinforce these habits..
    4
  17216. Dummit-Foote vs Artin. FIGHT!
    4
  17217. You haven't shown us what do you eat ? :D You're doing math only, but what about fuel which feeds the brain ? Actually food is very important for mathematicians, insufficiency in D3 has dramatic effects on the productivity of work
    4
  17218. Thanks
    4
  17219. I love your energy while teaching!
    4
  17220. Isn't it TRIVIAL?
    4
  17221. Plane trig SL Loney
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  17222. Thank you for these books sir :)
    4
  17223.  @unknownoblivion2417  thank you!!!
    4
  17224.  @boriszupancic3606  Look at this, it’s a book in a format like Axler’s Linear Algebra done right https://books.google.me/books?id=kfIqDQAAQBAJ&printsec=frontcover&dq=differential+geometry+springer&hl=bs&sa=X&ved=2ahUKEwjE-7269uXsAhXCxIsKHRrXD5AQ6AEwA3oECAMQAg Tek sad vidim ime i prezime:-)) Ovo je tip knjige koja je rigorous, ali sa mnogo intuicije, plus format koji je daleko, daleko bolji od svega sto smo gledali ranije kad su u pitanju pure math knjige.
    4
  17225. I think I took too many math classes, I begin to see birds!
    4
  17226. Inspiring talk!
    4
  17227. MS bulked up....going beastmode!
    4
  17228. We should all be grateful for mathematics and it’s the job of teachers and communicators to do that. The best proofs I’ve ever read all have one thing in common. They make me thankful that someone before me worked it out. Either because of how useful it is or how creative. Learning math is a much more enjoyable experience if every time there’s a named theorem, you stop and think “someone spent part of their career doing this for me.” Maybe this is too specific but one example that sticks out in my mind is the Eisenstein criterion for determining if a polynomial is irreducible over Q. I don’t even know the proof by heart, but the fact it’s true is still magical.
    4
  17229. Study mathematics by your own, don't depend on HS, colleges and Univs. Self-study is best method for practicing mathematics.
    4
  17230. Real Analysis is so wonderful / painful. The course that took me from getting a math minor for prestige (cuz I had most of it from my physics course) to dropping physics to major in math <3. Great book recs.
    4
  17231. I love this book!! It help me when I took Calculus I and II (and with the help of this book I can understand the Spivak 😹).
    4
  17232. OMG!!!!!! I have that book, as well, Math Sorcerer!!! Thanks for yet another grand video!!! :) :) :) :)
    4
  17233. I understand that this video is about exponents but please do a. Video about the basic rules of exponents that they teach in Algebra 2.
    4
  17234. The Po-Shen Loh method is just an algorithmic way of the quadratic formula. This is nothing special in the sense "wow, new stuff". The babylonians used this kind of method.
    4
  17235. How can you study computer science and be bad at math? Computer science is obviously just a subfield of math 😂😂 (I’m not really that arrogant) but like seriously. “You give me one field any field and I’ll tell you how it’s a subfield of math” 😂
    4
  17236. First
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  17237. 27:11 I think it's called family instead of set because a set can't have repeated elements while a family can
    4
  17238. Omg i had it right the first time and for some reason i thought i was wrong T-T
    4
  17239. Procrastination developed the fast learning skill :))) said by a procrastinator. I learn while doing the quiz, yep terrible decision. I’m procrastinating on changing my procrastination......
    4
  17240. Thanks for the video Math Sorcerer.
    4
  17241. why are we in the forest? are we actually gonna learn the actual sorcery like in skyrim ? gurl-
    4
  17242. Thank you for your videos! I'm taking calculus right now but I'm but practicing algebra as well. There are always topics which didn't sink in during those early classes. Math Sorcerer, maybe not so much with that repeating music!
    4
  17243. It's one of the best compiler book
    4
  17244. I have been summoned by mere probability here
    4
  17245. Genial! Mas contenido motivador en tu canal de español por favor!
    4
  17246. one of your best advice vids, thanks man!
    4
  17247. Great video. Your review of relevant material is so unlike typical channels pandering to foolishness.
    4
  17248. Today, we got the first two confirmed cases in Mexico. It's a shame because with the current government i don't think we are capable of dealing with this issue, since we just had our public health budget slashed and some kids with cancer were not getting treatment, so this could go wrong for us. But, as the comment below me said, i agree we should not worry too much, diseases are part of life and so is death. Have a happy weekend! Maybe we will get corona virus and die soon, so better start doing the things that are important to us, such as keeping in touch with our family and learning a lot!
    4
  17249. you rock dude, thanks for this! 🙏
    4
  17250. I am never too old to enjoy fun. I might never go to college, but I will keep on learning what I love doing.
    4
  17251. I could use some computer science advice for mathematics. I haven't used Microsoft Excel in over a decade, and I can barely even figure out my TI-Nspire CX II! 😅
    4
  17252. Advanced indeed, good topic
    4
  17253. Unfortunately, a lot of these books are crazy expensive right now. 😭Thank you for the list.
    4
  17254. 2/2 Notice that I used least amount. This is because it isnt hard to go super technical. There is a book out their dedicated to showing 1+1=2
    4
  17255. Udemy Math courses need to go as viral as the programming courses 😎
    4
  17256. Did the author use Latex to write the book? 🤔
    4
  17257. Finished my masters in psychology at 24. Started my undergraduate in pure mathematics now and this gives me so much encouragement!
    4
  17258. The dragon book is pure Gold. I used as main learning resource when I write my first programming language interpreter
    4
  17259. Great ❤
    4
  17260. you should review some philosphy books, I think it would be different and your viewers would enjoy.
    4
  17261. Thank you so much professor! You're the reason why ill be passing this class :)
    4
  17262. How are you maths sorcerer ...😄
    4
  17263. I feel like the time you spent reasoning with the problem is good for you because if you aren't doing that, you are probably looking for another problem, but even if you found the next problem, the time between those two problems, you are resting and you do need rest, yes but I am saying in theory you aren't advancing in math by looking for the next problem, but by doing your best to solve your current problem, that's what I think and I am open to your criticism to my opinion
    4
  17264. I'm from South America. Here these books were extremely cheap. In the late 80's i bought Piskunov's Calculus (both tomes) for about 3 Dollars.
    4
  17265. Awesome!!! Thanks for the info
    4
  17266. Agree. After taking this class, my head was spinning for weeks. I had gotten terrible headaches.
    4
  17267. Usually it takes me about 3 attempts at some harder concepts to understand...
    4
  17268. My exam is next month and I've been trying to force myself to recognise how to solve problems for the topics I'm weak in: Linear Programming, Circles, Trigonometry, Functions and trying to solve them faster. Thanks for your videos because they make me feel more relaxed about my study approaches.
    4
  17269. Nice video. Am starting differential equations in two weeks. Keep up the good work!
    4
  17270. Soy de Argentina, y la verdad que no hace falta entender el idioma en matemática, gracias profe.
    4
  17271. Can I also get a ❤ from you
    4
  17272. You : Can you finished to learn from 43 books in 2 years if actually you can only learn from 1 book in months? Me : Hmm.... Exactly
    4
  17273. "Plenty of people have studied math and become successful"? Plenty of people have studied math and not become successful, and plenty of successful people had little or no schooling at all.
    4
  17274. Dude you deserve so many more views and subs! Your channel is amazing! Please keep doing videos!
    4
  17275. I only subbed bc this genius didn't blink once...lol..jk..great channel
    4
  17276. Thanks Sir. Useful video.
    4
  17277. I love this content
    4
  17278. Chris McMullen has to write some of the finest math books out there. They do not find out what you do not know, they teach you what you do not know!
    4
  17279. Nah why is bro swole as hell😂😂
    4
  17280. 3:08 ✨
    4
  17281. There are several books on Spherical Trig offered on Amazon, some of which are recent; so the subject is hardly forgotten.
    4
  17282. Getting all this down at this early point saves you tons of "getting stuck for hours" moments later on. 6:30 agreed, if you can somehow get good at the identities you increase by a power level you can feel. 8:40 these kinds of books that list and explain EVERY step in the process are both rare and worth their weight in gold.
    4
  17283. Great video, more pls.
    4
  17284. thank you for the smooth explanation
    4
  17285. 📙💯
    4
  17286. This is not new, it's just the p-q-formula. Also, it's not a technique from poh shen loh. This is taught in German schools for example and it's known for 4000 years already according to Wikipedia.
    4
  17287. this made clear what I haven't been able to make head or tail of, thank you
    4
  17288. this video really helped me!
    4
  17289. I’m in the same boat thank you so much for this video.
    4
  17290. David J. Morin's Probability: For the Enthusiastic Beginner has detailed full solutions for every problem. It's a fun book and the author explains topics slowly but with a lot of insight. It's not a very advanced book, at least not for those doing mathematics, but I find it useful to complement my class, plus it's cheap, it's about $10.
    4
  17291. Hi Math Sorcerer! Did you end up minoring in anything or just a major in math? And if I’m majoring in math do you recommend a minor or do you think that would be too much for a math major?
    4
  17292. Have you heard of the book series called graduate text in mathematics?
    4
  17293. Any book by mozzarella has got to be good.
    4
  17294. "I spent a week on a problem to find out there was a typo..." I bet we've all had that happen to us at least once and man oh man is it frustrating.
    4
  17295. Thank you for this! I’ve been studying for an exam for 6 hours a day and just stepping back helps soooo much 🙏🏼
    4
  17296. I don't get these, but I'll keep trying anyway.
    4
  17297. thank you so much! finally understood it!!
    4
  17298. Always love the videos man! Your use of color really helps make the equations and graphs clear and uncluttered!
    4
  17299. I would say the actual material is way harder in the disciplines you mentioned (physics, math, etc.), but the amount of work in engineering is what is killer for most people.
    4
  17300. Alright lads we getting an A this year
    4
  17301. we need to invent a new number that it is nt true for all x : P
    4
  17302. I feel like I am too young lol. I cant get a rental car but I have worked with 480 volt electrical systems.
    4
  17303. Love your Videos ❤️.
    4
  17304. Quantum mechanics textbook: Hold my beer 🍺
    4
  17305. Calc 1 to calc 3?!?!?! Geez I need to check it out.
    4
  17306. Hi I will look for it , thank you.
    4
  17307. Dude, no way I can be the first one to comment on ur vid. I love your videos, I am 13, in 8th grade and I am interested in math so I bought the book you recomended James Stewards Algebra/Trig. I am going to do that, and a lot of Geometry. What do you reccomend that I do before (present), while doing it, and after. Please comment or make a video for me thanks dude, rock on!
    4
  17308. It's a shame that non-Portuguese speakers will never meet Guidorizzi
    4
  17309. i can commend you for talking about 6 minutes about the book before whiffing it. I prolly would've done that immediately after saying its an old book loll
    4
  17310. "It's never too late as long as you are alive" - Math Sorcerer. Chris, just do it man. See all those comments here? I'm the same. I've returned to university this year, and I'm 33yo. I don't know what the future holds for me, but for these last few months I enjoy the ride very much. Sure one may have some other life restrictions at these ages, but even only the relatively small amount of time you spend chasing a dream for oneself, the experience itself.. immeasurably valuable.
    4
  17311. You don't need to study alone... :)))
    4
  17312. Your explanation is the best! Mind blowing XD
    4
  17313. 00:34 One of the few productive all-nighters I ever had was on 09/23/2014 – shortly before dawn I had a EUREKA moment discovering that ⁿ√a is either an integer or an irrational.
    4
  17314. Real
    4
  17315. This dude maths
    4
  17316. "Then a very strong wind blew… But the Lord was not in the wind. After the wind, there was an earthquake. But the Lord was not in the earthquake. After the earthquake, there was a fire. But the Lord was not in the fire. After the fire, there was a quiet, gentle voice."
    4
  17317. 'Calculus Made Easy' Yay, got it. Agree it's a good one. I had assumed that you'd include it!! Don't overlook the more recent editor of this updated edition: Martin Gardner, a giant of recreational math.
    4
  17318. Could you do a review of the physic books of chris Mcmullen?
    4
  17319. This video is very reassuring. I’m starting my comsci degree and i’ve always sucked at math lol but i really believe that i can do this and be great at math😎
    4
  17320. All u need for maths is 2+2=4
    4
  17321. “Yes”
    4
  17322. Aguardando os vídeos em espanhol 😊
    4
  17323. I am trying to learn both English and math from you. And I belong from INDIA
    4
  17324. OH MY GOD DUDE UR AN ABSOLUTE LEGEND I FEEL LIKE I JUST ASCENDED TO A HIGHER PLANE OF EXISTENCE AFTER WATCHING THIS sorry for all caps I'm just really happy I finally understood this concept
    4
  17325. Thats the best thing about this guy XD
    4
  17326. This is similar to the method I use for studying! I study for 3 hours, then take a 1 hour break! Got me through real analysis so far so it’s gotta be worth something 😅
    4
  17327. His big eyes make everything seem imminent. Like I need to do what he says right now. Drop everything and do as he says.
    4
  17328. It's my belief that Chinese and Asians have a different educational ethic that is culturally based and/or driven by poor socio-economic status. Chinese kids have the notion drummed into them by their parents from an early age that education is the key to success. A lot of the education in these schools is rote learning but it gets the kids familiar with the language of mathematics from an early age. Where there are poor populations with little material advantages, their only option is an educational escape. People from Eastern cultures are not intrinsically smarter than those from Western cultures, there is just a hunger for learning at an early age that is not present in the relatively 'lazy' West and that makes them lean and fast and hard to catch up to.
    4
  17329. sir I have a homework problem, I couldn't solvet can you help me please ?
    4
  17330. I have taken College Algebra, Trig, PreCalc, Calc 1, and Calc 2 and excelled in all of them. However, this was over 15 years ago. I just enrolled in Calc 3 - any advice on what I should really focus on to do OK in Calc 3?
    4
  17331. Great advice, really can relate to this
    4
  17332.  @untitledphysicist3205  There are certainly bad teachers out there. But I think they are far and between.
    4
  17333. Sorry I am I the only person who likes it when you get the chance to like a video and make the value a perfect square or cube and so on?
    4
  17334. I'm loving these proof videos !
    4
  17335. thank you so much !! i never learned about what that i means and you saved the day ! God bless you
    4
  17336. I was expecting an Avada Kadavara but this was more like the Allohomora to math
    4
  17337. I love you
    4
  17338. Came here for the VofP and got a bonus mnemonic for the Hyperbolic functions. Memorized in 30 seconds what an entire unit of Calculus couldn't get to stick...
    4
  17339. Thank you!!!!
    4
  17340. I just love maths. It’s beautiful 😍🤩
    4
  17341. You have an amazing channel... even if I don't do math for a couple of days I often find myself stumbling onto a video of yours on a completely unrelated topic to what I'm trying to learn and it still gives me that "oh cool, I have missed solving problems., I guess tomorrow is going to be a math day !" kind of a feeling. Thanks a bunch !
    4
  17342. I’ll guess the sketch of the woman was done by a young man who had a crush on his teacher.
    4
  17343. Not great, not terrible, better than one of my math teachers.
    4
  17344. Okay now I know that I'm right in wanting to study physics because I actually like word problems more than proofs and very complicated math haha! Great video man!
    4
  17345. Most people are often Smart enough to be good at Maths, attitude + persistence + experience is successful combo
    4
  17346. Great video! Keep helping future mathematicians please! You are making a difference! There is a subtle math joke for you too, but I am being given sincere!
    4
  17347. Great. Thanks for this video! Each one is cheap, but the entire collection is probably thousands of dollars, so it's nice to see which ones are better priorities.
    4
  17348. I love you, thanks so much from Voronezh(Russia)!)
    4
  17349. 🤣🤣🤣🤣 i can do math
    4
  17350. What do you think about the following books: ? "1001 problems in classical number theory", by De Koninck "The Theory of numbers - A text source book of problems", by Adler
    4
  17351. I already took calc 1 and 2 at university, but I didn't really pay attention (Got a B in both). I've since discovered that I really want to take more upper level physics classes, but many have additional math pre-req requirements. I could move onto calc 3 and diff equations right now, but I feel I would be underprepared. Would you recommend retaking the earlier calc classes? Or maybe just self studying it on my own?
    4
  17352. Awesome! Thanks!
    4
  17353. What do you think about studying Mathematics without a high school diploma, for example when you are a construction worker who IS really interested in the subject?
    4
  17354. Going straight to a reliable and unbeatable "Sorce"--- concise and clear. Thank you for healing some fogged up brains!
    4
  17355. Math is such a crown jewel for humanity. Ugh I love it.
    4
  17356. Schaum's tend to be very thorough.
    4
  17357. Hey so I've been following a lot of your videos. I have been interested in getting into mathematics, even if it's just completely self study. It's something I feel like I missed out on, since I had an aptitude for it in school. So here I am. I have to say of the calculus texts you've recommended - of which I have purchased three: Spivak, the violin one, and Apsotol - I have to say Apostol is my absolute hands-down favorite. It is just indescribably beautiful.
    4
  17358. Love it!
    4
  17359. This is a really good path to learn Maths. I found your channel very interesting and soon I'll be taking some of your courses at Udemy. Thanks for this! :D
    4
  17360. Thanks!
    4
  17361. Sir please make a review vodeo on ART OF PROBLEM SOLVING math seriese.
    4
  17362. When math is too hard, I go brainpicking nerds online and study their solutions. After that, I attempt exercises.
    4
  17363. What $10.00 sign mean in above of your comment? I never saw it before. Is it funding for Chanel that you paid?
    4
  17364. I want to know if we can study fondation of math or Logic and if it's yes how
    4
  17365. Good advice 👍
    4
  17366. A staff also ?
    4
  17367. This helped SO MUCH!! Thank you!! Way better than the way my professor explained lol
    4
  17368. Thank you 🙏 from morocco 🇲🇦
    4
  17369. Just got a used hardbook cover version, this is a good day lads!
    4
  17370. According to some sources like Thomas, Adams etc. the endpoints can be local max or min point. What do you think about it?
    4
  17371. Thank you for saving my math HW grade.
    4
  17372. Gracias por el vídeo
    4
  17373. I couldn't agree more. I was shocked at how much quantum mechanics I forgot after finishing my physics degree. I've spent the last year self studying the material again, and I cannot tell you how many subtle connections I failed to see during my undergraduate studies that I've somehow picked up on now. Not only is self studying more fun and enjoyable, but it is not hurried either. Spending a couple extra days or weeks on a difficult concept is a luxury that's hard to come by with a full course load of classes.
    4
  17374. I totally agree. In this stage of my life, I have come to appreciate this luxury as well.
    4
  17375. I'm gonna call your parents, I'm gonna put YouTube LOL!!! Where is this Balrog of Melkor coming out of?
    4
  17376. Read How to do and read proofs by Solow 5th ed
    4
  17377. College in America is basically free? Waaaaaaaat? Oh, if you're 24 or older and poor or if your parents are poor. I think "poor" needs to be qualified because I'm pretty sure it's so low that hardly anyone qualifies for a free college experience. College in America in general is ridiculously expensive and is a shame on our society.
    4
  17378. Math sorcerer check Algebra by Baldor. This book is the bible for high school in latin america and it 's been used since the 50's good to have it in your collection.
    4
  17379. Absolutely phenomenal and incredibly useful. Thank you very much.
    4
  17380. Primeiro
    4
  17381. Superb and interesting review of an absolutely classic book. One of the simplest explanations of the basics out there. I love your book reviews and have been binge watching them. Have you reviewed any of the more offbeat books like Professor Poveys Perplexing Problems?
    4
  17382. Just a comment passing by
    4
  17383. Since when you're in the market?
    4
  17384. Thank you, professor.
    4
  17385. Mind blowing
    4
  17386. I bought all your courses on Udemy. Enjoying them very much.
    4
  17387. I have the first and second edition, but I've only read a bit of the second edition.
    4
  17388. Quantum mechanics ad MIT edx, that is the reason I´m doing a Major in maths right now haha
    4
  17389. 1:10 That's one thing that I couldn't do. And as you said it was the bane of my maths career. If I got to a problem I didn't understand. I would go into an EXISTENTIAL crisis of NEEDING to understand, Why that works, how it operates, whats the proof, whats the theory? It was physically impossible for me to move on, and I almost didn't pass my courses. Even if it was something as small as arithmetic and a trig subs, or something. Bottom line is, if your professor/TA is good and caring they won't care about the arithmetic as long as you arrive at a conclusion that was followable and a logical output for the input.
    4
  17390. As soon as the education system starts teaching students how to learn instead of what to learn then the system will actually be valued....
    4
  17391. If you really want an outstanding book on Complex Analysis checkout "Complex Variables" by Norman Levinson and Raymond M. Redheffer. It was originally published in 1970 by Holden-Day, and as far as I know, only one edition with a couple of corrected reprints. It's only available used. I think I paid $8.00 for my copy. He uses star domains, rather than apealing directly to the Jordan Curve Theorem. This allows you to do complete proofs. The Jordan Curve Theorem is not really mentioned until chapter 4. An unusual aspect of the book is that it gives a complete discussion of Residues at Infinity, along with several examples of its usage. Also, a nice treatment of the Principle of the Argument for finding zeros of a polynomial in a particular quadrant of the complex plane. Add "Lecture Notes on Complex Analysis" by Ivan Francis Wilde, Imperial College Press 2006, that also does proofs in star domains as side-by-side reading. They complement each other nicely, and you have a winning combination. Levinson/Redheffer is like being on a road trip through complex analysis, with plenty of side trips and roadside attractions in the form of exercises and supplimental material, but you really don't have to stop along the way, unless you want to.
    4
  17392. Nice. I have this book.
    4
  17393. That was surreal! Would make a good teaser for a video on surreal numbers.
    4
  17394. love you bro <3
    4
  17395. In the best possible way, I refuse to believe this dude is from Cuba. I've watched a few hours of his stuff. Don't believe it. Nope.
    4
  17396. Took the words right out of my mouth. Truly some great sage advice!
    4
  17397. Thanks 🔥🔥👍
    4
  17398. Woah, this channel blew up XD
    4
  17399. That's what happens when you make quality content
    4
  17400. bro be like:😳 STOP 😳 wasting you life🤨🤨
    4
  17401. Nice Video! Im from México, We used to call it: "Sandwich Theorem".
    4
  17402. Nice advice. I do this for all books that I read and study. It's a nice way to see the trend on what the author thought was important and how they organize their thoughts. You are more than just a Math Sorcerer. Keep it going.
    4
  17403. Watching ur video early morning after wakeup....Love From Pakistan
    4
  17404. This is great advice, and I struggle with this SO MUCH! I'm reminded of another video you did about comparing yourself to others when thinking about this. I look around (virtually) in my "classroom" aka my house and there are all of these other students who seem really engaged, asking lots of questions and really seeming to get it (taking intro to real analysis) and I say to myself "Who the heck are these people?!?!?" I'm having a really hard time relating to their excitement right now. I know this stuff is important and I know I need to get comfortable with it, but I keep feeling like I don't belong here, studying math, because I don't have a passion for it like "real" math people do. Is there a point at which it gets beautiful and exciting? Still looking... I mean seriously––what am I even doing here? And please math dudes, don't tell me I need to look elsewhere. Just because I don't enjoy theory doesn't mean I can't get something out of this. I'm just frustrated and I don't have anyone to talk to about this stuff. Is there some kind of support group out there for reluctant math majors?
    4
  17405. Thanks for everything, but if you don't mind, tell me more about the set theorem.☺️
    4
  17406. I am a little confused. I will be starting Cal III. It mainly consists of chapters 10 to 17 of Stewart's Calculus Early Transcendentals. The topics covered are e.g. vectors, partial derivatives, multiple integrals, second order differential equations. Is this the same as your Advanced Calculus, and would the books you referenced help?
    4
  17407. I'd like to go outside but it is 115 degrees right now. 😌
    4
  17408. I really needed this right now. The university I applied to starts its processes next month for selecting TAs and I'm very anxious.
    4
  17409. The first 100 or so pages of "Machinery's Handbook" is mathematics. Pretty cool stuff!
    4
  17410. I think this is even more important at the PhD level. The specific professors at the school is so important at the PhD level. It is hard to do the specific research you are interested in doing if no professor at that school does that research
    4
  17411. your explanation is amazing, thanks a ton!!!
    4
  17412. This is really wonderful ❤
    4
  17413. 2020’s coming, OH NO they didnt knew yet
    4
  17414. I agree with the people who say that Lang's "Algebra" is a terrible book to learn from. It is popular among people who already know algebra because it covers so much material, making it a great encyclopaedia of algebraic facts, and the proofs are terse and efficient so that they are pleasing to someone who is simply looking for a refresher. (Bourbakists, rejoice!) But Lang's style is anti-beginner and he completely fails to convey the intuition underlying abstract algebra.
    4
  17415. You speark slowly and clearly and use vocabulary that is easy to understand 👍👍...it's good for me (non-native in english ) Thanks a lot 👏👍👍
    4
  17416. I bought a crap ton of advanced mathematics books about a year ago (right after I finished Calc II). Although I understood very little, I knew I will understand eventually. That's what's happening with Real Analysis. For a long time, and even for the first few months of the class, real analysis was so incredibly foreign to me. Now it finally feels like I am starting to pick up the language: which is an amazing feeling. :D
    4
  17417. " And the homework is just...uh..... good to do "
    4
  17418. Thanks for the reply, I’ll probably borrow this off the library, since I always buy/borrow two books on the same topic. We use A first course in abstract algebra by Fraleigh, John B.
    4
  17419. If somebody literally has zero motivation for math, perhaps they should listen to their intuition and consider doing whatever they ARE more passionate about. It's not easy swimming against our own current.
    4
  17420. :_math:
    4
  17421. I expected to see a chapter on the Laplace Transform method ... which is pretty much standard fare in modern textbooks on ODEs.
    4
  17422. Wait, did I write that? Oh no, I’m a 51 year old physician far from retirement!
    4
  17423. Plot twist: That was Bezos, pretending to be The Math Sorcerer pretending to be Bezos! Turns out he and our friend TMS are both members of the same Illuminati chapter and are old budz...
    4
  17424. I would like to see a video showing your study table/desk area you use for studying math. It’s interesting to me to see how mathematicians/writers/philosophers setup up their personal study areas for optimal focus. I used to do all of my studying at libraries but now I’m stuck at my dinning room table because of the COVID situation. It’s a struggle.
    4
  17425. What is the background tool you are using?
    4
  17426. Prof @TheMathSorcerer  I have another suggestion for future videos. Please talk about mathematicians that are late learners. I am in my 25 and just start learning Physics and Statistics. Sometimes I wonder if I ever can compete with people who enter the field young, take Terry Tao, for example, he involved in this field since he was under 10.
    4
  17427. It is the same 😄 Thank you prof  @TheMathSorcerer 
    4
  17428.  @americanhero8606  Thank you for the information and the words. I gonna be honest, this is one of the best "motivation" phrases I heard this year 💯
    4
  17429. I will get to physics someday.
    4
  17430. Great performance. Thanks a lot. But what about Calculus 2 video , would you help us next?
    4
  17431. Precalculus is a legitimate subject. Calculus' focus is more on the mathematics (the study of change, motion, and functions) Precalculus' focus is more on the student. (preparing students for the new theories and techniques they will face, learning calculus)
    4
  17432. Love your CS type of videos
    4
  17433. Im studying mathematical economics in Denmark and we also started our Real analysis course in the first semester. However, we were also tought calculus 1 and most of 2 in highschool.
    4
  17434. I've heard that L'Hôpital was written L'Hospital (but pronounced as it is now) in the version of French before some spelling reform that got rid of things like silent "s" letters. The circumflex on the "o" was to indicate it went with a missing letter.
    4
  17435. Hello
    4
  17436. That is true people try to become master by ignoring basics, but you are right without consistent distraction free study one can become good at math.
    4
  17437. Yes. Now if I could just get the Companies I work for to realize that. I could work and do my degree in Physics at the same time. Thanks MS!
    4
  17438. Watching and learning how to do proofs is the single most important thing I can do with YouTube to improve myself. Thank you for doing proofs. Proofs have been the hardest thing in math for me to get to "click" into place in my mind. You could do an entire separate YouTube channel as a course on how to do proofs, even if it's just videos of you doing the most important proofs everyone should know to form a "backbone" of proof solving "vocabulary."
    4
  17439. Hey , what book(s) are these lectures from? my professor is using Single and Multivariable 6th Edition
    4
  17440. ur a very good dude
    4
  17441. Can you do a video of the measure theoretic viewpoint of this problem?
    4
  17442. This dude's arms get bigger by the day.
    4
  17443. The forest background is nice, by the way if you own Real Analysis by Royden and Fitzpatrick 4th edition can you review it I'm thinking about getting it but I'm not sure it's the one the one that also covers measure theory and lebesgue integrals
    4
  17444. @MathSorcerer, have you ever been able to find a solutions manual for this book? That would be amazing....
    4
  17445. My guy be like 😳
    4
  17446. Thanks!
    4
  17447. Great video! I could totally relate!!
    4
  17448. no hablo en ingles pero eres genial viejo
    4
  17449. Very clear explanation, thank you! Have subscribe bcos ur explanation is awesome
    4
  17450. Very good!! Everything he is saying is good to take to heart except not beating the STD:: algos. Not hard to beat them since you can specialise them for your use case. Those are generalized algos nothing special mostly just a bunch of cruft to handle a bunch of special cases that you may not need to take into account and its easy to make your faster by skipping over all the unneeded edge cases.
    4
  17451. Any calculus books for beginners that you would recommend?
    4
  17452. Thank you teacher. Greetings from Brazil. 🖖🏼
    4
  17453. You don't study math You appreciate math (All of the reasons mentioned are relatable in my life, except that I have too much math ebooks :D )
    4
  17454. Man you're so smart😎 Cool stuff Keep it going👍
    4
  17455. I do not know if it's common problem or not but I have tendency to get the hard math questions right on an exam but at the same time I do poorly on the easy ones that most ppl get right. what are your thoughts?
    4
  17456. I have discovered a truly marvelous proof of this, which this comment box is too small to contain
    4
  17457. Damn, the textbook actually isn't necessary for my class though, seeing as the lectures are just the teacher reading a condensed version of the textbook.
    4
  17458. I will say yes. Homework is studying. But I will also say that to study something is to understand that something. And homework is to practice that something. So if I have the quadratic formula, I can practice applying the formula to problems with some basic understanding. And it should work fine. But if I try to get under the hood and really understand how the quadratic formula works, why was develop in the first place, how from the ax^2+bx+c=0 I can get it or are there some short cuts or specific cases where it gets all wonky.., I will call that studying it.
    4
  17459. 1st
    4
  17460. Looks like the regular working environment of an active scientist or engineer.
    4
  17461. Thank you for this man !! 😭👊
    4
  17462. You are a lifesaver! I love you!
    4
  17463. What percentage of free throws should you practice blindfolded?
    4
  17464. yeah thinking of reading of this awesome book
    4
  17465. 5:30am upload?? For the Math Sorcerer, the mathematical grind never stops!
    4
  17466. Thank you for the video. It made it extremely easy to follow.
    4
  17467. If you learn enough tricks you become a wizard.
    4
  17468. Seems like, it's for me..when after working hard, still I couldn't answer I feel I have wasted my time. I need to be patient
    4
  17469. Good morning sir
    4
  17470. I am writing all this on a bookmark for my copy of a new book "Mathematical Notation, a Guide for Engineers and Scientists" by Edward R. Scheinerman. Only 84 pages and it is not enough, pity.
    4
  17471. I love your accent man❤️ It's quite understandable for me😅 (I'm russian )
    4
  17472. You're Awsome Teacher! , I can now understand better vectorial subspace , Thank You.
    4
  17473. I'm not gonna stop solving maths until he blinks 🗿🗿
    4
  17474. Thermodynamics on maths channel, makes a lotta sense. After all, advanced engineering subjects are mostly intensive mathematics with a whole damned lot of approximations 😂
    4
  17475. This is extremely helpful! I hope you can help me with this question...how did you go about convincing your referees to write 17 letters or at least writing one letter addressed to 17 different schools? I plan on applying to 20 and I'm FREAKING OUT at asking my professors to take out time to answer over dozen emails asking for a reference from each school Thanks for your help ☺️
    4
  17476. You would have been better off simply saying that CAS calculators would calculate derivs and integrals EXPLICITLY, thereby allowing student to write down the correct answer WITHOUT actually knowing how to do calculus. The non-CAS versions computed numerical derivs & integrals, i.e. the calculator would compute the derivative or integral INTERNALLY and would wait for the user to input 1 value for a num. derivative and 2 inputs for a num. integral and then spit out a specific numerical value for the derivative at that input or for the integral between the 2 given inputs. For non-experts: A) the derivative of x^3 = 3x^2 But the non-CAS calc wouldn't yield that specific answer. It required the user to input an x-value, say x=4, and then it would calculate internally 3(4^2) and spit out 48. That is you'd get 48 instead of 3x^2. Same for the integral. As an aside, in 1997 I had a student show up for the AP Calculus exam with a TI-200 which provided Explicit answers. This thing made dinner! Too bad he couldn't use it on the exam.
    4
  17477. Thank you very muuuuuch💕 This eqxn was on my hw, you helped me
    4
  17478. Just bought the 2nd Edition!!! I am pursuing a math major and I definitely think this will put me ahead if I can get a intuition behind all these topics now Thank you!
    4
  17479. this was literally me yesterday trying to submit to grade scope.
    4
  17480. LaPlace Transform sounds like a dude changing into a werewolf.
    4
  17481. That's perfect for a person who doesn't have much liabilities and obligations. But if you think about people who are under some circumstances that make them pushing hard to finish some degree early, rushing will be a must. And here race begins, stress increases and joy diminishes. I have been here one day, and when I was seeing someone says it's not a race I feel that he is either too idealistic or too naiive about real life problems. I guess you are not!
    4
  17482. Oh wow! I really needed to hear this, thank you so much for taking the time to share this. I have realized that I am also one of those exceptionally slow thinkers. I often find myself taking hours at a time to solve just one or two problems. I often get them right and really do get a lot out of this deep search for understanding, but it just always happens that I take really long to flesh out, like you mention, a delta-epsilon proof or other problems from, say, Real Analysis. Often, I find myself thinking that I’m probably not good enough, because tests aren’t usually very well suited to this style of thinking, but I am trying hard at the moment to find the balance. It’s a constant struggle, and I’m known for producing proofs and solutions which take up many pages, but I think it’s worth it in the end. I still always find that I love Mathematics in the end, even after a really tough test in Analysis with like 10 questions, and my inspiration comes, in no small part, from your videos. So, I thank you, once again and wish you luck in your further voyages in the beautiful realm of Mathematics.
    4
  17483. Can you do some proofs with regular and Hausdorff spaces
    4
  17484. 1.) Do the exercises, you don’t need to understand the why for now. Just follow the formula or technique 2.) Now try to understand what is going on. You’ve gotten good with the computations, so now you can slow it down I analyze why r=1/2diameter or why integrating a velocity function gives us displacement.
    4
  17485. I can relate to the proofs one so hard. For integration by parts, I use the DI method or the tabular method.
    4
  17486. I don't know, I think there are certain aspects of videos that are greatly superior to books. Let's isolate Prof. Leonard for instance. In my calc class, everyone praises him for the level of depth he goes into in his video lectures. But that's 3 hours, O don't need to spend 3 hours of my life learning about contours and gradients, ya feel? Sometimes stuff is really straightforward, and there are a lot of extra words in places there doesn't need to be. I spent maybe half an hour BSing a definition that made sense to me, and it worked fine, now I'll be the first to admit that I wasn't RIGHT when I BS-ed a definition for the stuff, but the understanding did eventually come. I made connections, and the thing was, I knew my connections weren't founded on the subtlest of grounds, so once I got a working knowledge, I got an intimate knowledge.
    4
  17487. When I started to review my calculus book by Larson, Hostetler (edition is old enough to include Edwards), I too started with the appendix, which is preliminary work. This book also has a chapter 0 that also includes pre-cal algebra material. When I got into Ueno's Introduction to Algebraic Geometry (NOT his other three volumes), I started with its appendix first also. Finally, I just started David Eisenbud's Commutative Algebra with a view toward Algebraic Geometry, and again started with its appendix first. Lol but while it is useful to know before delving into the main material, it have a feeling it's going to be harder!
    4
  17488. The video is cool! haha But isn't the background music too loud? Sometimes I can't understand what you say.
    4
  17489. can u make a physics tutorials? i know u can do that, i've seen ur books in ur back, i know you can teach it well enough, you are so very very good at teaching everything
    4
  17490. u have a perfect math literature. the way you explain is amazing. Keep up with this  literature and way of breaking down problem
    3
  17491.  @swng314  Its 3 years late, but it helped me, so thanks
    3
  17492. Alexandros he already has one
    3
  17493. 私は経済学を勉強したくないです。数学の勉強がしたいです。
    3
  17494. anyone else here wishing their final was this easy?
    3
  17495. It's been over a year since I took real analysis and this was probably the best proof I've seen so far. Thanks!
    3
  17496. Now, I'm usually not one for listening to podcasts.. but I think you could have an awesome show. I recently started watching MIT lectures on apple podcasts, complete with video. anyways, just found you through your explanations on sets and spaces. Then took your math learning advice and book review.. Now I have baby rudin! Thanks.
    3
  17497. Dummit and Foote IS the best Abstract Algebra book if you find the solution of the problems. I think they are available somewhere.
    3
  17498. When u derivate xe^2y .....why didnt you use x' e^2y + x (e^2y)'
    3
  17499. Thank you for the video. :)
    3
  17500. Thanks so much, this was so clear and quick, you are a legend you know.
    3
  17501. I have the book 100 €
    3
  17502. A math burn out is a form of mental fatigue. It will happen to anyone if they work on a mentally demanding task long enough. :: The question is: how long can you maintain focus before becoming mentally fatigued? //This is interesting because when I started school I could only do about an Hour, 3 years later after being hammer math into my soul I can do 4-6 before a mental burnout.
    3
  17503.  @TheMathSorcerer  You are absolutely right. You need these three essential things for a long study session. 1.) 10+ hours of sleep--You need your mind at its peak freshness. 2.) Eat a snack every hour--This will keep your sugar levels in place. 3.) Drink water frequently--This will stop any Headaches. Bonus: Having a test due the following day. This will give you enough motivation to not stop.
    3
  17504. Don't be afraid of the math. Its only numbers. I tell myself. I had no understanding of calculus only a few months ago. Still don't understand much of it. But now I can recognize things I see in calculus videos as things I've learnt in algebra textbooks. Then I see things in algebra textbooks that I recognize as things that I've seen used in calculus videos but didn't understand when I saw them in the calculus videos Think I'm going to like doing limits and derivatives Don't now if any of that makes any sense. I can do most of the algebra and that isn't a issue. I suggest watching videos of math you don''t understand to familiarize yourself with it even if you don't understand the math as you are watching the videos.
    3
  17505. Thanks Matt! Very inspiring honestly!
    3
  17506. Concerning the blue book, What's the use of a book that doesn't explain it's thinking, and without examples that actually cover the possible complex permutations of the concept it's teaching? It's kind of useless or very tedious and not realistic if the exercises clearly outstrip the lessons
    3
  17507. great advice and so true!
    3
  17508. It's not really trigonometry that confuses me, it's more so how to calculate delta = epsilon
    3
  17509. Thanks for the motivation
    3
  17510. Nice book not only for engineers but for applied physics as well
    3
  17511. In A levels (British 11th and 12th grade) I spend about 60% of my time on maths, 30% on chemistry, and 10% on biology and got the same A grade in all of them. I'm a biologist now, path of least resistance😅
    3
  17512. goated channel, one of the only people who can make this logical vomit of a subject make sense, you are truly a sorcerer sir.
    3
  17513. IDK. Would I use the Archimedium Principle to prove that math can change your mind? Would it help to know the formal definition of mathematics? Lol.
    3
  17514. That table of contents takes me back to graduate school. Bessel functions - the horror.
    3
  17515. Where are u going?
    3
  17516. Great vid as always
    3
  17517. I was working through his Essential Calculus book at one point before life got in the way, really great problems and in-depth solutions
    3
  17518.  @TheMathSorcerer  Is it similar to an independent study, but in the field of research they're on. Not necessarily coming up with the logic and rigor yourself?
    3
  17519. sweet
    3
  17520. Thanks for the amazing video, I buy in everything you said! You are right, self learning is a game changer and makes you feel better. In the end it makes you addicted. I personally like to follow classes on MOOCs and go through books to deepen knowledge on some specific aspects and make problems. The moment I feel I really catch something I wanted to learn (though not always it happens) is pure joy. Thanks once again!
    3
  17521. I seriously met one guy who did all of this, no joke! Just replace Topology with Abstract Algebra (groups to be precise), Einstein with Riemann's Hypothesis and watching lectures with playing chess (amazing chess player btw) and it was completely him, haha! Loved this video, I'm a fan of your humor!
    3
  17522. By the way, I love your content. I'm not used to comment since English is not my first language. I'm a mathematician who lost the habit to study math when I finish my career four years ago. I recently restart learning the basics and I get very frustrated most of the time, because I'm soooooooooo slower than I used to be in my "good years" (back then I was already kind of slow), and now I have a lot of responsabilities and so little time and energy, but your channel really inspires me to keep going, one step at the time, and for that I'm very greatful. Thank you for your videos and keep going.
    3
  17523. I also switched from computer science to maths
    3
  17524. have you ever considered a book review about the history of mathematics? Sometimes it nice to take a break from the standard format of mathematics.
    3
  17525. I wish my school library could have them
    3
  17526. The Math Sorcerer! That marker makes a great scepter.
    3
  17527. Thank you I solved my problem successfully
    3
  17528. First ❤😋
    3
  17529. I just wanted to thank you for your advice on giving yourself time to understand math. I just passed Calc 2 on attempt number 4 and your advice on patience in a previous was the key I was missing to doing well. Thank you again for your advice.
    3
  17530. This is something I've been thinking about since the new year started... the present is really what matters the most
    3
  17531. Awesome! Thanks a lot for the explanation.
    3
  17532. This helped me a lot. Thank you very much!
    3
  17533. great video professor!
    3
  17534. i guess comment section here is full of 38 years old software engineners lol
    3
  17535. Almost first!
    3
  17536. Thank you very much!!!!! ❤️❤️❤️
    3
  17537. 😍😍😍😍😍😍👍
    3
  17538. THANK YOU SO MUCH!
    3
  17539. Great video
    3
  17540. What a good video! but why do sections jump😦？
    3
  17541. -> Stay active in math by working on other math problems.
    3
  17542. 1:18 Which Biology book are you reading now?
    3
  17543. Please reply ! Why it is 'iff' used in the definition? In the direct image cases you have taken only single side implication but why here it is both side implication? 🙏🙏please explain your answer.🙏🙏
    3
  17544. Rad book...bonus points for having Even & Odd problem answers. 👍
    3
  17545. Loved the video as always, cracked me up. "If you don't have friends, make friends!" hahaha
    3
  17546. u give me hope to study math again, I appreciate u for taken the time and making these videos thank you
    3
  17547. Learn when to say no to people respectfully and be aware of what you are capable of. Make sure you push up against those boundaries and never do the bare minimum.
    3
  17548. Could you please review math books for economics?
    3
  17549. Hi i went to university at 50 made my degree and was surprised that i worked hard and cought up with people my same age
    3
  17550. Thank you so much for this!
    3
  17551. could you do a calc 2 course,, or probability in udemy? or maybe your own page and buy one
    3
  17552. really helpful stuff thank you.
    3
  17553. Thank you for making this video, i love your account! I will definitely apply this method of learning math.😊
    3
  17554. Am first again
    3
  17555. Please make a vidio on Maths book to follow Computer Scientists and ML engineers.
    3
  17556. Very inspiring. I have few applications in. Got back my first rejection. Best wishes to everyone and hope you all do well. It's hard not to feel bad when someone says no, but it's important to keep going and keep trying.
    3
  17557. That's what we go through every day . ✍️🤕😷
    3
  17558. Thank you.
    3
  17559. You're my savior
    3
  17560. This video has been so so helpful to me. Thank you so much!
    3
  17561. I taught/retaught myself mathematics starting from early maths on Khan Academy up to calculus and am now studying mathematics at university with a track record of A's so far (second semester in). Certainly a turn around from it being my weakness throughout high school. I suppose that is what I would consider to be my greatest achievement seeing as I haven't proved some cool theorem (yet).
    3
  17562. Is there a precal book in the series.
    3
  17563. I spent an embarrassing amount of time trying to prove the division algorithm. And I had a hint...
    3
  17564. Helped a lot, thanks man :D
    3
  17565. crippling loneliness getting in the way...
    3
  17566.  @TheMathSorcerer  Thank you so much
    3
  17567. 👏
    3
  17568. Adam Ant the singer did a Video ‘Stand and Deliver’ in the 80s ! 😊
    3
  17569. bro you are saving my assignment
    3
  17570.  @TheMathSorcerer  if another rat puppet features, I'll immediately send you it's sticker too :')
    3
  17571. Hii sir are you from Australia
    3
  17572. Thank you. Your videos are always helpful 😊
    3
  17573. As a high school drop out with degree in mechanical engineering (thanks to the Math Sorcerer) my answer would be an emphatic no. During my nearly 5 years of college I'd say less than 1 in 10 of the students had what it takes to survive in the real world. Job skills and experience are infinitely more valuable than college with the exception of math and Newtonian physics. I would argue that everything I "learned" in college could be taught in 1 year, the rest was just over priced fluff required to get that piece of paper that proves I can sit down and finish something.
    3
  17574. Love the channel! I've literally binge watched you for the last few weeks. I highly recommend "Make it stick: The science of successful learning" for those wanting to maximise their study time. It gives some great insights from various studies into the most effective learning. I've tried a handful of the techniques and I have noticed a difference in my retention of the learnings.
    3
  17575. LOL the people that make these claims about math don't realize that technology and all the fun devices they use are based on math.
    3
  17576. Thank youuuu
    3
  17577. My left hear is loving this video... 🤣
    3
  17578. I thought it interesting at 3:02 where you show a page with the multiplicative equivalent of synthetic division.
    3
  17579. Thanks you really saved me!!!!!!
    3
  17580. Thank you, I've watched so many videos and they made it more complicated than it needed to be You're a life and time saver 😭
    3
  17581. I have a book in french from 1887 on algebra. Not sure if it's the same authors. I'll have to go bring it out of the boxes sometime to check.
    3
  17582. nah it has 12 hours make it bigger like 290 hours
    3
  17583. Sir i am from india and i want to go abroad to do phd maths. I want to become a great Mathematician Physicist so sir I don't know much about abroad from where I can do doctor degree in mathematics and which universities. I hope. you will help me.sir please👏👏👏👏🙇
    3
  17584. Omg this is treasure. For some reason seeing these old books is super motivating. U must feel exited to study mathematics while being in your personal library.
    3
  17585. Is okay, you can think "i am bad". Compare to the toxicity, hypocrisy and echochamver on math twitter, this is extremely mild. ;)
    3
  17586. Hell yeah, Math Sorcerer. I'm glad to see that you're also part of the 225 club
    3
  17587. This is a "really good shew," as Ed Sullivan would say ... hehehe. Great channel and fun problem. Cheers
    3
  17588. That last one was beautiful. "I don't believe in homework. I don't believe tests. But I do believe in you... so don't worry."
    3
  17589. One difference between SICP and other programming books is that a lot of their problems involve implementing the innards of numerical methods you'd just use as a library under, say, Python. That might give you another topic related to the book for some future video, one day. (I forget the details. At the time I worked with it, a lot of that stuff was a bit beyond me or intimidating.) There's another book I'll have to go and see if I can find, deliberately written as a kind of "SICP-Lite" by a very engaging UC Berkeley prof, whose name I would've remembered not many years ago, complete with a set of video lectures. It gets more directly into the idea behind LISP (function composition, basically - hence its popularity with more mathematical minded programmers) and is carefully kept accessible - where Sussman et al are content with being lucid, and can sometimes leave noobs high and dry. That said, their lectures are real gems.) I'll post links as a reply if I find it.
    3
  17590. Here's the playlist, retrieved by someone else. https://www.youtube.com/playlist?list=PLhMnuBfGeCDNgVzLPxF9o5UNKG1b-LFY9
    3
  17591. Omaygadd thank you mister 😭👍🏽👍🏽 My teacher didn't teach me this kind of limit 😭😭👍🏽👍🏽
    3
  17592. Yeah the title says it all 😎 keep up the good work and motivating factor.
    3
  17593. Thank you!!!!
    3
  17594. And How i become a Math Sorcerer?
    3
  17595. Why isn't this on the udemy real analysis playlist??
    3
  17596. 👍
    3
  17597. Great books, hope to one day own them and fully understand them ^^
    3
  17598. Wow, a simple and smart proof.
    3
  17599. Thanks a lot for this! I've been having trouble with my homework but with your help, I was able to get it correctly. Thank you very much! I owe you my degree when I get it 💖
    3
  17600. Amazing
    3
  17601. No hate, but soft covers are better.
    3
  17602. Halo Sir
    3
  17603. In which branch of mathematics we can solve such questions ?
    3
  17604. I've been called elitist only by people who insist on never really learning math, despite working in AI. I'm not even that good. But there's things you just can't understand without a solid background in some areas. Nevertheless I've had people get pissed off at me whenever I try to explain things using equations. I think it's a defence mechanism.
    3
  17605. No.
    3
  17606. Muchas gracias, me ha servido
    3
  17607. 10 to 12 hours per day ain’t that unusual if you really want to progess in mathematics. 🤓 ☕️ 📚
    3
  17608. Giving up strategically to get the most out of your time is priceless advice.
    3
  17609. I wish I had seen this at the beginning of highschool.
    3
  17610. lvl.1 ->lvl.99
    3
  17611. Always love these, so relaxing and calm to watch and of course fun!!
    3
  17612. Answer is simple. More opportunities for authors and publishers to sell products.
    3
  17613. I have solved it easily
    3
  17614. Slightly unrelated question, but how would you recommend going about studying the bare minimum point set topology necessary to tackle something like Hatcher or Fulton's algebraic topology? Preferably prioritizing speed as I'm happy to go back and review things as necessary.
    3
  17615. I’ll have to keep an eye out for an opportunity to get myself a copy. Any chance you have recommendations for a companion text for an analysis course based on Baby Rudin?
    3
  17616. I thought it was simple u-sub when looking at the thumbnail 😪
    3
  17617. Hey I had a similar high school journey ending in basically dripping out for a GED. Then going into CS and liking math the most. Next step is grad school hopefully.
    3
  17618. in a few days I'll turn 20 so can't participate but It's sad to see we used to do these everyday in Iran and laugh at such problems
    3
  17619. I was able to do it, so of course :P
    3
  17620. Just remember, studying for absurd amounts of time or trying too hard can backfire in number of ways so be careful. Please make sure to investigate that phenomena.
    3
  17621. I am a carnivore, so I picked up my normal week's purchase of 12 lbs of beef, 4 lbs of bacon and 2 lbs. of cheese. The only thing that was missing were my husband's brand of hotdogs, so I had to substitute sausages. I am the healthiest I have ever been, so perhaps people are choosing the most nutrient-dense foods to build their immunities...would not hurt! :)
    3
  17622. 🇮🇳
    3
  17623.  @TheMathSorcerer  High fives!. Thanks for the reply
    3
  17624. Depending on the institution, going up the chain is often so, SO much worse than handling it at the classroom level. One year I was a GTA, the department sent out a memo coming from the University at large that all instances of cheating (including plagiarism) was to be reported to the academic discipline board for lack of a better term. The situation played out in a very typical way. Student was dealing with a lot of personal and emotional stress that semester, compound with a tight school schedule, and they needed the grade so they plagiarized. We caught them, brought them in and talked to them about it. Both myself and the instructor of record were of the mind that "OK they understand that what they did was wrong, they wont do it again, and this has been a good meeting", and we even offered (given the circumstances the student gave as to why they did it) to help get them in touch with the on campus mental health services since they really were struggling. All in all, what we could consider a "best case" for correcting this behavior. BUT, we told them we still had to report it. Fast forward a couple weeks, I go to the academic hearing for this case. I recounted as best as I could everything we talked about and that both the Instructor of Record and myself agreed that the (standard) un-removable zero on the assignment and the talk we had with the student was fruitful and we felt that the punishment threshold had already been reached. They thanked me for my candor, and I left so they could deliberate. They Suspended the student for 2 semesters. Now at the start of every semester I practically beg the students not to plagiarize because the people who deal with this above me are not nearly as kind as I am
    3
  17625. Whoosh, right over my head prof... glad I'm only interested in calculus , and that only at calc 3 level. But I always look on the bright side...I can make things. Thanks for the video nonetheless...always interesting.
    3
  17626.  @TheMathSorcerer . Easy to answer really, I am self taught in mathematics, but only only to the level I have described, it's a hobby. If I had a major in anything, not formally, it would be in making rather complicated engineering constructs which brings me great satisfaction and require only basic mathematical skills. Thanks for asking and thanks again for the videos.
    3
  17627. Useful guide, doing physics at university so schaums physics and maths books will be of great help along with other textbook’s recommended on this channel.
    3
  17628. I think this series is based on the Rudin book. One of the few complete Real Analysis series I could find: https://www.youtube.com/watch?v=sqEyWLGvvdw&list=PL0E754696F72137EC
    3
  17629. Here in India (in the national curriculum) we solve these kinds of problems in 8th grade!
    3
  17630. For any self learner of Topology, I highly advise the book by Munkres. There cannot be a better book for self-learners for Topology.
    3
  17631. Real life greek philosopher, I love this lmao, 🫡
    3
  17632. I agree with the statement that engineering is the hardest undergraduate major because it combines both math and science and these things are difficult independent of one another imagine if you combine them. I beleive that math is a subject that is inherently difficult. I think pure math is harder than applied math because of how abstract it is.
    3
  17633. After watching this video, I discovered that I actually don't know math. Thank you 😅😅
    3
  17634. Math sorcer your videos are fun to watch.Please continue make a lot more.Talent and natural ability and grades are great videos to be made.I would like to see more motivational videos.
    3
  17635. Wholesome 100
    3
  17636. But thanks for your suggestion.
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  17637. Math was never my favourite subject.. Yet in scl i somehow topped n later in my class 11 n 12 through my mental health problems i couldnt do anything well;no subject was on my side just as no person was, n later i took drop for an year to get myself back to happy world n i gave all of my best efforts n my results are recently out n it turned out i did well in nothing,,but all this year i developed a great interest towards math : though it was never my very first favourite ... N somehow when noone , none from my family n friends believed me n when i lost hope on life math really helped me sort out things , ( belive me it did work for me: it had become my greatest escape besides writing) it just was good solving every problem, right or wrong being secondary , first solving made me hope that i could still sort things in life n later if i get smth wrong n i correct it , i relate it to the extent that i can correct myself at all walks of life.
    3
  17638. Lmao I think I studied 3 hours a week for my first sem
    3
  17639. Just to confirm, does the hours a week we study includes the time we took to learn the tutorials and the classes we sit through?
    3
  17640. What a great channel! Love your content, thanks for all the videos and lessons!
    3
  17641.  @TheMathSorcerer  Oookay. I decided to take the plunge. I gave myself about an hour to finish this. As I said before, I could finish this in 10min without work, but with work ... Anyway, here goes: [For reference, S = sigma, D = derivative, L= Limit as n→inf] 1) a: 0; b: 0; c: DNE (infinity); d: 0; e: 0 2) -210: Sum of geometric series a*b^-n=a/(b-1). Plug and chug. 3) Diverges by Integral Test. Let f(x)= 1/(xln(x)ln(ln(x))) a_n > 0 for n>e<3 because all x, ln(x) and ln(lnx)>0 for x>e f'(x) < 0 for all x in domain because D(x^-1) != 0 for all 3<x<infinity and D(x^-1)|3<0 → D(x^-1)<0 for all x in domain. D(lnx) >0 for x in domain → f'(x) <0 for x→ f is decreasing. Therefore S converges iff f*(x)|(3,inf) converges. f*(x)= ln(ln(ln(x)) → integral diverges→ sum diverges ■ 4) Converges by cancellation. S(ln(1+1/n)) telescopes to -ln1 which is finite. ■ 5) (-1)^n / n converges conditionally. 6) 6/(5-3x) @ x=2 → S(2*(-3)^(1+n)(x-2)^n); IoC: (5/3,7/3] let u = x-2 → x=u+2; f(u) = 6/(5-3(u+2))=6/(-1-3u) let v= 3u → f(v) = -6/(1+v) → [definition] f(v) = 6*S((-v)^n) Expand and Simplify: f(v) → f(x) = S(2(-3)^(1+n)(x-2)^n IoC: 3|x-2|<=1→ x<=2(+-)1/3 → (5/3,7/3); 5/3 is an asymptote, but 7/3 is fine.→ IoC: (5/3,7/3] ■ 7) Converges by root test. L(|a_n^1/n|) = 3/7 <1 ■ 8) Converges by DCT. |a_n| < n^-2 → conv. by PST → conv. by DCT■ 9) Converges by Root test. L(|a_n^1/n|) = exp(-n)|inf =0<1 → conv. ■ 10) {(-1)^n} Oops. I thought the SERIES had to converge/diverge. If so, cot(.5n\pi)/n diverges. cot(n\pi)/(2n) converges Though such would also suffice for the stated problem. 11) S((-1)^nx^(4n+1)/(2n!)) let u= x^2 xcos(u) = x*S((-1)^n*u^2n/(2n)! → xcos(x^2)= Above. ■ 12) IoC: (0,2] let u = n+1 → Sum = S(-1)^u(x-1)^u/u Definition of ln x centered at x=1 which has a RoC of 1. Testing points yields IoC: (0,2]. ■ 13) Converges. Note S(x^n/n!) :=e^x. → S(a_n) = e^e which is finite. ■ 14) Converges by LCT. The relative rate of a_n is equivalent to the relative rate of 1/n^2, which converges by PST → converges by LCT. ■ 15) Diverges by DT. L(a_n) DNE → div. by DT. ■ 16) Diverges by DCT. Note n^1/5 >= 1 for n=1. Thus n^.2+1<n^.2+n^.2-2n^.2 → a_n>7/2(n)^.2 → div by PST → div. by DCT. ■ 17) S(5*(-1)^n((x+1)^3-1)^n); IoC: (-1,2^1/3-1] let u = (x+1)^3-1 → f(u) = 5/(1+u) → 5S((-1)^nu^n → f(x) = Shown. IoC: |(x+1)^3-1|<=1 → x= (-1, 2^1/3-1). Test points: x=-1 diverges, other is fine. ■ 18) S((-2)^-n(x-2)^n). Definition of Taylor series @x=a: f(x) = S(D^n(f(x))|a(x-a)^n/n! D^n(f(x)|a={1,-1,2/4,-6/8...n!*(-2)^-n} → Shown ■ 19) FFTTTTFFTFFF I think it took longer to type this than to do the test. I doubt you'll read this, but thanks for making it to the bottom!
    3
  17642. reading from a book and then writing out key steps really helps me to learn. but i got to agee with yuh reading and doing problems is one of the better ways to study math, then videos .
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  17643. We love you!
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  17644. For non-native speakers and people who know little to no Spanish, you're not reading Cervantes or Gabriel Garcia Marquez. A translation tool and some vocabulary will help you get through the book. Like The Wizard states, the problems are just too good to pass up.
    3
  17645. Good in this question i got an important formula that was not in my book. Thanks i am from india and you??
    3
  17646. I Will take partial differential equations and applied analysis ( special functions) 😎
    3
  17647. I'm tempted to say he has surfer hair, but, I know enough math majors to know, surfers have math hair. I have a theory that the more your brain grows, the more your hair needs to grow to make room for all the new knowledge. That, or it's finals month.
    3
  17648. magic the gathering < yugioh
    3
  17649. Is this only point wise convergence?
    3
  17650. "This is your life..." That hits different.
    3
  17651. Nice channel. Great tips. Subbed. This will come in handy. Am signing up for computer science soon yay.
    3
  17652. It amazes me how much math there is. It is immense! Probably just as much depth and complexity as say physics and chemistry. You have covered some very esoteric topics in the past. Combinatorics, topology, and other stuff like that. What are your thoughts on differential geometry and tensor calculus?
    3
  17653. I got a stroke reading this
    3
  17654. 1) There's no "finish" to mathematics, unless you're only trying to learn "just enough" to do something outside of mathematics. Anyone telling you there is a point where you learned "all the math" is selling you the equivalent of oceanfront property in Nebraska. 2) Having a book on Cryptography (not math) while having zero books on Differential Geometry (a fundamental subfield of mathematics) is definitely...a choice. Good luck learning Physics with Cryptography, but no Differential Geometry. Good luck having even the most intuitive of understandings of Perelman's proof of the Poincare Conjecture (which was completely dependent on Ricci Curvature/Flow...which itself is completely dependent on Differential Geometry). I read the list of books, didn't see a single book on Differential Geometry, and immediately turned the video off. For those who care to actually be as complete as possible in their study of mathematics (and its applications to other sciences), check out the following for a start: Elementary Differential Geometry, 2nd Revised Edition (O'Neill) [any edition is fine, but the Rev 2nd Ed is best] Geometry From A Differentiable Viewpoint (McCleary) [does a good job of building DiffGeom up from Classical Geometry] Introduction to Smooth Manifolds (Lee) [essentially an intro to Graduate level DiffGeom] Study from Lee's book should wait until after study from one (or, better yet, both) of the other two books. These books are the absolute minimum for studying DiffGeom, IMO. I get that this video (and maybe this channel in general?) is more aimed towards people doing self-study or who are using mathematics in fields outside of mathematics, but omitting any true Differential Geometry text from a list claiming to help people learn math from "start to finish" is sort of a slap to the face of every Differential Geometer, and very disappointing.
    3
  17655. Thanks a lot man!
    3
  17656. Nice bro
    3
  17657. Excellent review.
    3
  17658. Actually pretty inspired by some montage league plays when I get so bored by some math problems. Enthusiasm really matters
    3
  17659. Engineering mathematics
    3
  17660. Great video again! As always! ❤️
    3
  17661. Good tip on adding the decimal points to the integers. Integer rounding can cause a lot of unexpected errors when working with fractions.
    3
  17662. Thank you very much. You explained it for everyone to understand.
    3
  17663. aside from mathematics, the cover design is so good! very neat design!
    3
  17664. I too feel that one has to be unbalanced in the start to reach a certain height then one can decide to balance things out. But one important point is that the unbalance should not go out of scale, however crazy it sounds we have to have a balanced unbalanced life
    3
  17665. do you use davincii resolve? (I saw the "media offline" part at 1:51 )
    3
  17666. Hatcher is currently kicking my ass lol
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  17667. yo man that's awesome have a great day
    3
  17668. Another great vid
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  17669. Oh man, the last time I went to the beach was years ago. I miss the sea
    3
  17670. Though it’s a bit hard to understand for a 12 year old.
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  17671. Math Sorcerer wants you to eat equations and crap algorithms
    3
  17672. Had to drop calc 2 when I first took it. Then found it to be the easiest of all when I took it the second time once I got my footing, easy A+. As a result, I figured I’d tutor it the following summer which culminated in one of my most painful experiences in math. Turned out my professor had done a lot of the heavy-lifting when it came to the most difficult aspects of the course by skipping the most difficult series (telescoping, Taylor, etc.), offering amazing explanations and being very transparent about how the examining was going to take place. None of these things were present in the summer course. The professor showed up half an hour late and wrote a fairly tricky function to the power of 2019 and asked students to take the derivative of it using the chain rule and it all went downhill from there. By the end of the course the professor was doing the more complex integrals using the online calculator and if a series test looked too difficult he’d flat out admit he couldn’t do it and move on. If it weren’t for the fact that I revisited it a third time when I was re-hired I don’t think I would’ve ever understood it properly (hell, there might still be a few holes left).
    3
  17673. Mathematics is an eternal beauty and only a small set of people will ever recognize it. Probably the biggest challange in mathematics is to expand this set.
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  17674. Condescending with a touch of assumption
    3
  17675. I was smiling when I saw your fountain pen
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  17676. A math book straight from the One Piece anime named Shanks. Nice book.
    3
  17677. Second❤❤👍👍 thank youu i have not yet into changing things so far still adding singular numbers, and medium numbers as well as a little substractions and getting to know Place Value😇👍
    3
  17678. 🤔To study math? No. To understand it? It doesn't hurt. But ask this. Does math understand me? Check, and mate.😋
    3
  17679. I wish math books had better names. Like there's a buncha books named 'a first course in ...', 'introduction to ...' or simply 'x' where x is the name of a random math subject.
    3
  17680. After watching that video, I’ve bought the book
    3
  17681. Great video! It is a pretty good one you made here. Really needed to hear this too.
    3
  17682. Failure always helps me learn a way not to do something. Pretty helpful sometimes lol
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  17683. Really your awesome!! I missed you as my professor in college but lucky to see in online. Thank you!!. Just awesome
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  17684. Great video. I followed your recommendations and bought a couple of those books.
    3
  17685. The most important thing is to be able to transfer your knowledge and skills to another person. This requires grasping what the student does not.
    3
  17686. Thank you for the pep talk. I needed it.
    3
  17687. Replace the word "Math" with literally any skill or area of study that you are wanting to learn and it still works. The biggest thing that I struggle with is "making sacrifices", like accepting that I must dedicate time to doing things that will better my life in the long run instead of just doing things that feel good or are entertaining in the short term. Dedicated study time will help a lot with that, and seems to go hand in hand with "sacrificing some fun time" (like time I'd play games or watch movies, getchomindoutdagutter) to further my goals. This will probably help my sleep schedule as well, lol
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  17688. 😂😂Karen of Mathematics 😂 that acting is on point though
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  17689. damn, i love you so much mate. you put out such great stuff. appreciate it man.
    3
  17690. I am just jelous, but even if I had those books, I wouldnt have a place for them, since my room is just tiny wardrobe haha
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  17691. If I work 30 minutes a day, after how many times a can be good at Algebra ? 6 months or 1 year ?
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  17692. Much math sorcery conducted in a thunderous lapse of time.
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  17693. Awesome advice!!! Have you done any videos of your math background?
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  17694. i'm 31, already a wizard
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  17695. My instructor refuses to answer my questions. It's been hard trying to learn this subject online with his videos. Plus he has a super thick accent. I have my first test tmrw. Fingers crossed. Thank you.
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  17696. I have head of that book. A few years ago another youtuber posted some of his favorite CS books, and I remember that first paragraph. I think I even downloaded the pdf.
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  17697. The table of contents looks exactly the same as most german analysis books. The Königsberger, the bible of german analysis, is structured exactly the same.
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  17698. thank you so much Sir it helped me a lot
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  17699.  @TheMathSorcerer  10 grade level is ok if i really want to learn
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  17700. Jeff Bezos
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  17701. That whiff.....
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  17702. Thank you for the explanation :)
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  17703. my interest in maths developed more and more the day I found your channel😄 now am reading stuffs like baby ruden pre calc.
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  17704.  @TheMathSorcerer  Thank you so much! :D
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  17705.  @TheMathSorcerer  thank you!
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  17706. HAHAHHA all my old females teachers in my college
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  17707. thank you so much for that solution I couldn't figure out how to deal with this cos(npi)
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  17708. who loves ramanujan
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  17709. +1 for going through velleman! It's an awesome book!
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  17710. Tomorrow I have a midterm... And this is so relatable😂😂😂
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  17711. Excellent video.
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  17712. lol this dude really likes math
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  17713. Thanks for the awesome video @The Math Sorcerer! I’m just wondering, what are your thoughts on the two-volume “Calculus” by Tom Apostol? It would be great if you could review it in the future, as I’m considering it as an option for myself to learn calculus with after using the better proof book you mentioned in this video.
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  17714. Love your book "Wake Up", thank you.
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  17715. Hey math sourcerer, I dont want to pay for any math books- where can Ilearn math without paying for anything!?
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  17716. Bezos?
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  17717. THE BEST WAY TO LEARN MATHS IS TO DO MATHS......... And most importantly Concentration And Persistence....❤️
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  17718. Do you do research?
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  17719. First like🔥
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  17720. Have had a very similar experience with what you mentioned
    3
  17721. Looking at this book it seems like a lot of knowledge is presented, but not much of it is proven. That's of course fine, since this appears to be a reference book and not a school book, but it goes some ways to explain how Ramanujan managed to get his in-depth knowledge and intuition without learning how to prove.
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  17722. Channel Bourbaki. Gain Victory! ;-)
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  17723. This is a very good question to test ones basic knowledge related to sets.
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  17724. FIRST!
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  17725. oh YES !
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  17726. I like the way you give advices in terms of reality and that's the way it should be, at the end of the day we all are human beings.
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  17727. Nice
    3
  17728. Number theory lets gooo
    3
  17729. This is grad school lvl in the US? This is what we learned in the Bachelor in Germany...
    3
  17730. I think delta-epsilon proofs are very easy to understand, but very hard to do. What seems to me to be the problem is the working memory of the mind and I think that's closely related to the g factor. There is only so many things you can keep in the mind at the same time and in some delta-epsilon proofs you have to think around the corner multiple times to get it right. I've seen people work their asses off every day in the second semester of a maths bachelor and still fail. I know that mathematicians don't like talking about this, but differences in intelligence seems to me the most plausible explanation.
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  17731. Love this bro thank you for posting this 🧮 I took integral and differential calculus and rlly enjoyed learning and thought it was fascinating, this takes me back!
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  17732. The Math Sorcerer Thank you! I'm planning on getting my Ph.D in Mathematics or Computer Science to start teaching at the college level.
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  17733. Can you make a video on what calculators to get?
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  17734. So, a small update, been commenting kinda often around here. Math is definitely changing my life(although, I will most likely go into computer science because of parents and wanting to move out into another country), but I think there is something special in math honestly, and it's really interesting. I wonder how far I can get learning it on my own, especially before uni starts :D
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  17735. Pls. Review these calculus books- MJ strauss Bradley smith calculus H anton Hughes and hallet N pishkunov Thomas calculus Tom apostole RR goldberg Gabriel klaunter CE weatherbun
    3
  17736. From the ashes, we will rise.
    3
  17737. Wow 😯 it’s like 👍🏻 the holy grail
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  17738.  @TheMathSorcerer  A huge thanks again. Your advice is to the point. I’m thinking of focusing on the more important, interesting, and challenging exercises only. Thank you.
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  17739. Could you make a video on ''what credentials a student from another field must have" to apply for Masters program ? How would someone convince that they are fit for Masters program, even though they came from another field? That would be extremely helpful for me too! I have done my undergrads on Computer Science. But I realized I love Math more!
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  17740. I've been cranking out programming algorithms and Youtube brought me here. I actually loved math, but I had to move around a lot when I was a teen, and one year I went from a non-semester course to a semester course, so I didn't know some of the material. When I asked the teacher for assistance and some reading material to help bring me up to speed, she told me to repeat last years math course. She had zero interest in teaching. That experience ruined math for me. People like that have no business in teaching. Anyhoo. Time to make up for lost time and bring myself up to speed now! I've always wanted to fill in the gaps, so thank you for this video!
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  17741. amazing video you made the concept extremely simple to understand! Thank you
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  17742. Cool
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  17743. Learn LISP!
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  17744. If you aren't sure which book to study from, just go with the one that smells better.
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  17745. Thankyou so much. That was really helpful.. 😃
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  17746. Two comments on foundations: (1) In a sense, math does not (yet) have a foundation, since research is ongoing into the foundations of mathematics and the jury is still out. E.g., are sets foundational? is logic foundational? Categories? If it's turtles all the way down, there is no turtle that is the foundation. One might think a foundation is a beginning point; like Euclid's postulates, you start with the postulates, and make progress by deriving results from them. Yet Bertrand Russell wryly observed that if he were identifying all the assumptions implicit and unstated in Euclid, he would have come up with more than the five Euclid came up with. Maybe there is no beginning point. Maybe there are only starting points. (2) If physics is mathematical, shouldn't the foundations of physics and mathematics be the same? Yet the foundations of mathematics look like abstract concepts, while the foundations of physics looks like quantum field theory, or something like it. So, to quote John Wheeler, how do we get "it" from "bit", the physical universe from information?
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  17747. Sir I like this book and i think i should read it , but right now I can't afford it...∞ You might not gonna believe but this book cost almost as my fee of 2years maths majors in India...∞
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  17748. Greetings Mr.Professor, Thoughts - : Mathematical Learning is The Cradle of Scientific Innovative and Intiatives in all aspects. : Good Calculus Textbooks. : Thanks... Take Care, Professor.. With regards, RanjithJoseph (R.J)
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  17749. You just have paradise of mathematic😁🤩🤩🤩🤩🤩 I'm soooo enjoyed this video,because i like mathematic soo much🤩🤩🤩 Your books are such magnificent🤩🤩🤩 I don't have words😮🤩🤩🤩
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  17750. You look uncanny to Jeff bezos. I'm sure you get this often lol.
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  17751. You say the batteries last a long time in it. I know what you mean, but batteries don’t last a long time. I’ve lost count of the number of devices I’ve had that have been damaged by leaking batteries, over the years, even up to the present day. I try to change them out once a year, no matter what the brand. It’s not worth it to not do that.
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  17752. Excellent stuff Mr.sorcerer
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  17753.  @TheMathSorcerer  Wow! You have such an amazing taste in music!!!
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  17754. How to study of statistics?
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  17755. Tysm
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  17756. cool one
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  17757. This is what I needed. Thank you.
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  17758. Haha, hilarious idea! Makes me think of some of the comments in my 0.999... = 1 video. Or in fact some of the comments in every 0.999... = 1 video.
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  17759. The American system needs to keep their people less knowing than others, so they are more easily controlled by their emotions
    3
  17760. This helped me in ways words can’t describe, thank you.
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  17761. THAT IS LITERALLY JEFF BEZOS
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  17762. Great vid as always
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  17763. Thank you very much for the great video! I'd like to share my personal experience as a non-mathematician programmer, it might shed some light for programmers who are looking for learning math*. For the last 2 years, I really wanted to learn deep math because I knew that math is the key to improve my coding (from basic algorithms to data analysis, DSP, and so on...) but I was really struggling in picking the right subjects, it was kind of like picking drill-bits without knowing the type of materials that you'll have to drill in. I've found out that any math subject that is oriented towards *Machine-Learning is extremely useful for improving your programming in general. So if you are a programmer here are some subjects that I think you'll find to be very useful: Fundamental-Algarbra(this should be obvious), Functions and graphs, basic Calculus, mastering derivatives, limits, integrals, Vectors and Matrices, and Statistics (there are more, but this is the general direction). The learning curve is pretty slow (in fact I'm studying for quite some time now and still have a lot more to cover), so be patient, constantly try to implement your learning in your code (To me it's very useful) and other than picking up books and courses, also watch YouTube channels like this one! because it really feeds the inspiration!
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  17764. my left ear enjoyed the podcast.
    3
  17765. Great message ☺ Thanks mate !
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  17766. Hey Math Sorcerer! Should I relearn calc 1-2 with spivak or do I continue with calc 3. I studied calc1-2 from paul’s online math notes and leithold.
    3
  17767. Hi Professor can you do a video about math for manufacturing? I think it’s an underserved field that often revolves around tons of formulas and less math training.
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  17768. Hey, I thought of the same sequences as you!
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  17769. Electrical Engineering is one most difficult major because not only does it contain Calculus, differential equations, which is comical compared to class called Controls Engineering. Controls Engineering kicked ass. Controls engineering uses every science discipline imaginable. For our school project, we had to design a remote control car that "sensed" the frequency track line. It used a concept called PID.PID (proportional integration derivative) system, just that name alone is should send fear to non-math majors . The class had physics, mechanical engineering, electronics, computer science and ton of writing. It tested the sanity of all students including the honor students due to it's difficulty. In the end, it was rewarding so hang in there an be brave.
    3
  17770. Thanks for your video. I'm trying to learn linear algebra. I thought I was doing fine until I tried answering the questions. Now I know to dive in deeper.
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  17771. I think I can say something interesting about the difficulty of learning mathematics. There exists a barrier that any person has to take to do mathematics. This barrier is the real problem with mathematics! That is why even arithmetic, the simplest mathematics, is difficult for most people. When people investigated how they could teach monkeys language, they found out the reason why this was virtually impossible. Animals connect specific events in reality with specific sounds. We, on the other hand, look at reality and then make a combination of sounds, which then, as a whole, refers to reality. The two sentences: 'John walks to Mary', and 'Mary walks to John' consist of the exact same sounds, but their meaning is different. This allows us, with a fairly limited amount of words, to express the entire complexity of our existence, through sounds! We are using here the power of combinatorics! The number of words we need to express anything differs from language to language. In some languages, there are fewer words, but a more complicated grammar. English for example, needs about 2000 words to have active control over speech. The rest of the meaning is in grammar. With Dutch and German, it is about 3000 words, and the rest is in grammar. in French, it is only 750 words, and the rest is in grammar. But, to be able to use a combinatorial system of 2000 to 3000 words combined with grammar, there was a time in our past, whereby we had to sever the direct link between existence and our sounds! And that was the difficulty in trying to teach monkeys language. You see, to be able to construct combinations of sounds to express meaning through grammar, the sounds had to be freed from this direct link. If an animal cannot sever this link, it cannot learn language. Therefore we were only in a few occasions successful to learn monkeys language. This is a barrier that has to be taken to learn language. There is a similar barrier for us to learn mathematics. With writing we have learned to capture sounds in a combinatorial system. With just 26 letters we are able to capture the sounds of lots of different languages. Again, the power of combinatorics applied to something that already was a combinatorial system. All written languages work through making tokens for sounds first, and then, through reading, that what is said is generated in our head in the languages we have learned. Even Chinese works like this. The idea, that Chinese characters stand for ideas directly, is a myth. That is why in Japanese, for example, Chinese tokens are also used. But the sounds in Japanese refer to different things than those in Chinese. So, written language always works like this: Reality -> Spoken sentences = Combinations of words ordered by grammar, expressing some language -> A combinatorial system which is a 1-1 mapping of those sentences to written tokens. No matter how picturesque a language looks (Egyptian Hieroglyphs, Mayan language, Chinese), the symbols represent a sound of a language, You must be able to speak the language to decipher the written text. That is why we have not been able to decipher the language of Easter Island, for example. Nobody knows the language. There is one exception to this rule: numbers! Numbers stand for amounts wich are directly observed in reality. The development of the number system in such a way that you could calculate in it, required removing the in-between step of spoken language. To show this, German, English, French, Dutch, Italian, Spanish, ..., you name it. All use the decimal system of numbers, at least in the present. If we learn arithmetic, we might speak out the numbers differently, but when the numbers are written down, most people in any language understand what 25 means when they read it. An English person might say: twenty-five, and a German person 'Funfundzwanzig', and a Dutch person 'vijfentwintig', but if any of them read 25, he knows what it means. And that is because the in-between step of sound is eliminated in numbers. Numbers work like this: Reality -> written numbers -> spoken sounds. The order in numbers is therefore reversed! The difficulty facing us to learn mathematics, in general, is the same difficulty a monkey has to learn language. The connection between reality and sounds by combining words with grammar has to be severed! Only then we can learn to translate reality directly into mathematical symbols, which then can be transformed into sounds. A mathematical text might be written in English or German, but only the German words must be translated. The symbols are just as clear for a mathematician as the numbers are for persons having learned arithmetic. Mathematics in general works like this: Realty -> Mathematical symbols -> Spoken sounds. A field in mathematical English is Ein Körper in German and Een lichaam in Dutch. But the axioms, written down, have mostly the same symbols. Only if somebody has removed this mental barrier, he can make use of the full power of mathematical thinking. And what is it, that makes mathematical thinking more powerful than language? It is combinatorics! Adding symbols increases the power linearly. But combining symbols increases the power exponentially. Just look at our number system. 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, these are the 'letters' of the grammar of numbers. The simple placing these numbers in an order makes, that we can express with 1 symbol 10 different amounts. with 2 symbols 100 different amounts (0 .. 99) with 3 symbols 1000 different amounts, and, in general, with n symbols 10^n amounts. In other words, the combinatorial system of symbols of which all mathematics consists makes each form of mathematics a system that can make far more distinctions than is possible with language alone. And with greater precision comes the power to be far more detailed and, at the same time, more universal. But to learn mathematics, you have to sever the link between any language and reality! And, indeed, those who succeed on making this transition, are also the people who make the big breakthroughs, both in mathematics and physics. It began with Descartes, who came up with the idea to attach letters to numbers, instead of words, and who also came up with the idea of attaching pairs of numbers to points in the plane. He was one of the first who had made a more thorough severing of the link between reality and spoken language. It is also no coincidence, for example, that Einstein could only develop his general theory of relativity after he came up with the idea of the Einstein convention of writing tensors! The same applies with Feynman, who expressed approximations of the Dirac equation of quantum mechanics through the diagrams now having his name: the Feynman diagrams. These diagrams are graphics, each of which represents a mathematical formula that is part of a whole system. It is, in essence, a generalization of Dirac's method to express approximations to the solution of the Schrödinger equation through creation and annihilation operators. This, by the way, shows what a proper order is to learn mathematics. A thing you also said in one of your videos. First learn arithmetic. Then learn plane geometry. This teaches logical thinking. Then learn algebra, and learn how to connect this to geometry, so that you can make the transition between pictures and algebraic equations. Then learn combinatorics! Learn to write combinatorial proofs. This teaches you to think explicitly about the exponential power of combinatorics, and therefore the essence of the power of mathematics. And then learn the rest of mathematics! I hope you found this interesting!
    3
  17772.  @TheMathSorcerer  Well, Thank you! Your words inspire me to make some math videos myself. Speaking of barriers, this is a barrier I still must take! I still haven't figured out what stops me. In the meantime, I keep you informed. And if there is something on your channel that triggers me to comment, I shall keep doing that.
    3
  17773. Wow you become that too simple
    3
  17774. Maybe this situation can spark a revolution amongst pure mathematicians that turns them into applied mathematicians that are of some sort of value to society.
    3
  17775. The hell, as an asian I really thought this guy was Bezos. Is he???
    3
  17776. professor is there a second language that would be helpful to learn as far reading math books
    3
  17777. Please make videos about Computer Science.
    3
  17778. I have a dilemma. I want to study Fourier/Harmonic Analysis but I can’t find graduate schools that offer it. What would you do? I love but no schools in my area offer it.
    3
  17779. Hey Professor Dork😂 You ever going to do anything on Fourier transform?
    3
  17780. 5:18 - you’re welcome.
    3
  17781. REA Associatiates Topology Problems Solver with subtitle "A complete solutions manuel to any textbook"
    3
  17782. I'm using Gallian's book and I'm lovin it
    3
  17783. The increased earnings from the MA never makes up for the loss from the time out of full time employment. Just pretend you're un/under employed and getting a masters, and sock the difference in a passive index fund. You'll come out way ahead
    3
  17784. Math sorcerer, on your Udemy, called Advanced Calc/Real Analysis, you don't cover sup/inf, Riemann integrals, FTC. But more specifically sup and inf why is that?
    3
  17785. for the germans i can recommend: Topologie - Jänich. Its probably translated into english as well but i don't know how good it is compared to others. But i think its good.
    3
  17786. Is nicotine allowed in classroom😂😂😀
    3
  17787. Tq so much sir
    3
  17788. mindfulness meditation is my absolute favourite as someone striving to be in cybersecurity!
    3
  17789. As always great advice , for math and any other subject really. Thankful for you sir 💕
    3
  17790. Fun fact: The Concrete in Concrete Mathematics is a portmanteau of continuous and discrete.
    3
  17791. Hello! Is it necessary to learn algebra, pre-calculus, calculus, and differential before linear algebra? My college make us take linear algebra alongside discrete mathematics in the first semester and calculus in the second semester. Now, I think I lack my foundation so I am planning to relearn them. Should I learn calculus before touching linear algebra? What about the other way around? Thank you.
    3
  17792. Good old memory. This book is still in my book case ever since.
    3
  17793. Thank you soo much professor, i needed this vídeo.
    3
  17794. We need bulk books review like you are doing in math sorcerer espanol
    3
  17795. I disagree with his premise (to some degree). I started learning trig in the 3rd grade (the same year I started learning English). I hold a degree in chemical engineering. But retired as an economist. I met a number of other people in college and throughout my career who to learned math at a very early age. My son was learning algebra in the 4th grade. He was very very good at math but opted to pursue finance! My oldest daughter is the CEO of her own law firm of 17 attorneys. She has no inclination for math though she grasps complex concepts of law. My middle daughter never was good at math at all. Her skills lean towards language. She speaks English (of course), Russian, Ukrainian, German, Dutch and French. So I'm saying that genetics must play a role. My ex-wife was a physics professor. My children were deeply spoiled by me. They had all the time and all the resources to learn math.
    3
  17796. HAHAHA WHAT WAS THAT?!!
    3
  17797. What tools and software do you use? I want to start making my own math videos but I think the production quality will not be high.
    3
  17798. We use Sullivan.
    3
  17799. The Math Sorcerer okay I got ya. Regardless this was a very informative video thank you for your hard work!
    3
  17800.  @TheStudioManila  False Expectations About Reality Future Events Aren't Real False Entity Appearing Real
    3
  17801. Nice video, Can you also recommend a book for beginners ( people with calculus experience ) on group theory ? I really want to study it...
    3
  17802.  @TheMathSorcerer  It is very nice of you to help out people like me. I am only fifteen years old, but I am deeply interested in physics and mathematics. I want to learn more things, but I don’t know which books to use, so I end up reading books which I don’t understand. It is really very nice of you to help people like me. ☺️
    3
  17803. Good video
    3
  17804. Agree with all your points and thank you for all the helpful videos
    3
  17805. Great advice!👏
    3
  17806. Math tutor here. Everything said in this video is 100% true‼️ Great video
    3
  17807. Thanks for Encouraging 😄🙏
    3
  17808. The first time I started learning math was when I started understanding math books and self studied. Also I learn a lot with your videos :D
    3
  17809. Or they're probably saying that because of high college fees... That's what came to my mind first.
    3
  17810. No sniff tests with online downloads :-)
    3
  17811. Thank you Math Sorcerer, you will get a thank you email 5 years from now
    3
  17812. Man I am sad. I bought a ti 84 plus for sophmore year, because it was recommended. Now I'm a Junior, and our teachers don't allow us to use any calculators. Now my TI 84, Hp prime, and TI NNSPIRE are just sitting at home
    3
  17813. Adam's calculus is highly recomended
    3
  17814. Gave me hope? [x] Taught me something? [x] Delts looking STRONK? [x] Subbed.
    3
  17815. I just found this Channel and I'm really enjoying your videos. I was definitely messing up by not having a dedicated schedule. Thank you!
    3
  17816. that "oh oh" at the end XD
    3
  17817. Very cool thanks for sharing. That book is a keeper for sure
    3
  17818. I take DE in 2 semesters so, from my friends I heard DE is an insane difficulty
    3
  17819. You are REALLY hard on the pages. Lighter touch maybe?
    3
  17820. Thank you very much..
    3
  17821. So thankful I completed my pure math courses before the pandemic. Now it's all application and conceptual. Big <3 to all my math instructors who made this the easy part.
    3
  17822. Me Second ig 😚
    3
  17823. OMG!!! incredibly, explicitly comprehensible record ⏺ highly appreciate it... I am currently taking Math 202 and my instructor is Okay.... but I believe this instructor is much more better than any math one had taught me. I am certain that I am going to continue the course with these high quality records. God bless you !
    3
  17824. What is the cost of this book in the market?
    3
  17825. Sir, is it practical to study engineering, physics, and math, or is it a waste of time considering they all have maths in them? Currently an engineering student but I'm planning to get all three degrees and possibly doctorate in each field.
    3
  17826. This is such a great video man these words are so good
    3
  17827. AHAHAHAHA. I really hope my math tests this semester don't go this way!
    3
  17828. Could you apply the same method if the sequence was 1+(1/n)?
    3
  17829. Also, when we calculate the distance: [Xn-Xm] for the sequence 1+(1/n), do we ignore the 1? and write the distance as [(1/n)-(1/m)]? Thanks!!
    3
  17830. Thank you for your wise words The Math Sorcerer. My discovery and recently-built passion for pure and applied maths, and the inspiration from this channel, enabled me to confidently change my University major from Computer Science to Mathematics and Statistics. Now that I am formally part of the math community, I couldn’t be happier :)
    3
  17831. Does it covers chaos math
    3
  17832. This is 1110 % true.
    3
  17833. I have high standards for look alikes ; I say The Math Sorcerer has the Jeff Bezos vibes. 😊😊
    3
  17834. That's probably the single biggest mistake I made with my education in Mathematics - not realizing that even if you are doing well in your formal studies, you have to do your own independent study also, and develop research skills and learn stuff that is not in the classroom. What books you locate can make a huge difference - I personally like the books by Tom M. Apostol, and Harold M. Edwards, and other older textbooks such as Elements of Real Analysis by Robert Bartle (1964).
    3
  17835. legendary foreign language crossover
    3
  17836. Sir how many math problem did you solve in your entire life
    3
  17837. Sir I am very happy to got a comment from you
    3
  17838. ohhhhh you hit one mill lets gooooooooo!
    3
  17839. this one is sooo easy
    3
  17840. Bestest
    3
  17841. First Like!!!!!!!!!!!!!!
    3
  17842. Thank you:)
    3
  17843. GOAT
    3
  17844. ABSorption law 1:45
    3
  17845. I gave up 2010 with 14 and my life is wonderful... I don’t know why this is in my recommended section xD
    3
  17846. I am the 10.000th viewer
    3
  17847. I went to get your Calc II course but when I tried to pay I was told I didn't qualify for the 80% discount.
    3
  17848. Because all the sciences are built off of math, the reason why you can use your phone, the reason why and how the Google search engine was created, why you can trust engineers to build 100 floor buildings without it falling. In short mathematics is the reason why you can live such a comfortable life. If you want to develop new technologies you will need advanced mathematics, or an idea and alot of good connection.
    3
  17849. I love math to
    3
  17850. How to get good at calculus? Well math is a skill & like all skills it takes practice, so do as many calculus problems as you can...plus the types of problems you encounter start to feel very similar after awhile, eventually you get much quicker as you become more familiar with them.
    3
  17851. Holy shit your channel name is spot on Been freaking out all day on watched numerous videos read my text was stumped watched this and actually have a clue wat to do now
    3
  17852. Guess is a perfect example.
    3
  17853. Thank you very much for the explanation, it has become very clear to me and it has been very useful
    3
  17854. After 9 years I finally had a trick to remember this. Thanks.
    3
  17855. I expect that you will make more videos related to Topology.
    3
  17856. Awesome thanks
    3
  17857. Professor can you tell me is it effective if I watch my teacher doing maths ?
    3
  17858. Thank you
    3
  17859. Hi, I was already wondering what had happened to you hehe. I was doing homework (very, very difficult), about D. And method of indeterminate coefficients. Wow, the second order derivatives were huge ... In my opinion, it was the most difficult university exam so far. I'm too tired.
    3
  17860.  @TheMathSorcerer  Cool, on my part without pressure for new videos, it was just a joke. Anyway thanks, because your D.E playlist helped me to find the shape of the particular solution in the case of the indeterminate coefficients methods
    3
  17861. very simple and understandable, keep making great videos :).
    3
  17862. Thank you Jeff Bezos with hair
    3
  17863. Great video, bro is so passionate he barely blinks! lol
    3
  17864. Thank you, I needed this
    3
  17865. Thanks !!! I really needed to hear this 🙌
    3
  17866. My main problem is patience : I understand but I just can’t sit down going over and over problems for hours..and hours....it doesn’t really turn me on...
    3
  17867. Thank You for this ❤️
    3
  17868. His name is Thomas Garrity, not Paul Garrity 05:47
    3
  17869. this is so aesthetically pleasing
    3
  17870. I love math and i also love your channal.
    3
  17871. This is incredibly inspiring. I'm on the process of applying to a MS in Economics. And your short story pushes me to complete my application. Thanks!
    3
  17872. I'm afraid i got addicted to this channel. your videos are really good man, keep it up!
    3
  17873. Why YouTube is recommending me Maths? I have hated maths all my life!
    3
  17874. Thanks for this informative video, just in time for me to start my Linear Algebra online class at the end of the month hahaha
    3
  17875. oh yeah babe, the computer science sorcerer is back
    3
  17876. can a high school read these books or its just too advance?
    3
  17877. Yes, it is not math advice; however, it is something I would like to get into. Please, math sorcerer, I love math and science; however, I am more of a math person, but my major is biochem. I want your expertise on how I could apply math to medical school…
    3
  17878. 🪄Thanks for the video, my sorcerer! I just bought the book because of this video. I’m looking forward to learning a lot of math. 🪄Dankegon pro la video, mia sorĉisto! Mi ĵus aĉetis la libron pro tiu ĉi filmeto. Mi antaŭĝojas lerni multe da matematiko
    3
  17879. The book sniffing socerer.
    3
  17880. what book is this from ?
    3
  17881. What math class is this for?
    3
  17882. great story never know where math will take you !
    3
  17883. Your videos have been one of my highlights during covid
    3
  17884. WOWOWOWOWOWOWOWOWOWOWOWOWOWOWOWOWOWOWOWOWOWOWOWOWOWOWOWOWOWOWOWOWOWOWOWOWOWOWOWOWOWOWOWOWOWOWOWOWOWOWOWOWOWOWOWOWOWOWOWOWOWOWOWOWOWOWOWOWOWOWOWOWOWOWOWOWOWOWOWOWOWOWOWOWOWOWOWOWOWO!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! YOUR A LEGEND MY FRIEND IT MUST HAVE BEEN A TON OF WORK STACKING ALL THOSE BOOKS AND TAKING THEM ALL BACK>>>> THANKS SO MUCH MATH SORCERER!!!
    3
  17885.  @TheMathSorcerer  🤗🤗
    3
  17886. Pretty sure it's pronounced like, e-ti-kit.
    3
  17887. Thank you 💗
    3
  17888. Great advice. Thank you. ... too bad prerequisites get in the way. :(
    3
  17889. for proofs, why do you add a square with an x inside?
    3
  17890. This is a great point. I have realized that after making YouTube videos about a subject that I have learnt, I seem to easily be able to remember them. I would recommend to just record yourself talking about a math subject, you don’t have to publicize it.
    3
  17891. Hello maths sorcerer!!
    3
  17892. Try, fail , take feedback, learn....
    3
  17893. You are a math teacher a good one, but a very compassionate one. Just the one I need. Keep up the good work, sir. You're a good man.
    3
  17894. Your videos are extremely insightful, often times we forget about the human part of learning mathematics. I really appreciate your content.
    3
  17895. this guy was in an adam sandler movie
    3
  17896. BTW, the symbols ⊆ and ⊂ mean the same or is there any difference between them?
    3
  17897. ABSOLUTE amazing advice 🙂👍
    3
  17898. Sir can I solve a question in a different way, I mean is it important to follow every rule and the particular formals for solving a question. Sometimes I don't follow the particular formula but I still gets the right answer.
    3
  17899.  @TheMathSorcerer  okay Thanks sir .😊
    3
  17900. Parents can be the biggest dream killers as well as your biggest fans. 😮
    3
  17901.  @TheMathSorcerer  Merci! I like YouTubers who, like yourself, take the time and actually respond to their subscriber's questions and don't just, you know, pretend that they care.
    3
  17902. Gracias, me sirvió muchísimo la explicación. Genial
    3
  17903. Was not expecting this, lol
    3
  17904. I've just watched this video as I was cooking tonight's dinner and I am so impressed with THIS video that if it had lasted any longer I would have put it on PAUSE, served my dinner, started your video from the beginning, put it in LOOP mode and would have watched it over and over again as I ate my dinner!!! This is one of your BEST productions!! I'm just loving your tutorials and I already love your math book reviews!!! Just MARVELOUS!!!! :) :) :) :) :) :)
    3
  17905. Hello sir
    3
  17906. U solve my doute
    3
  17907.  @pinklady7184  then why not try some puzzles related maths, puzzles is not only related to crossword but also there's some puzzles related maths, chess and other things. Are you studying maths in college?
    3
  17908. Great video...just bought it. BTW...WSJ did book reviews in today's edition on two books about Math. First is about learning math over 60...Second is about history and beauty of algebra...great reviews...as a fellow math book aficionado..thought you'd appreciate ( It's all about the numbers, WSJ today)
    3
  17909. Hi i also hate linear algebra but i am a physics student and i'm in love with calc1-3 can you give me any advice pls ♥️
    3
  17910. I wish I had your hair man!
    3
  17911. Several variable real analysis is the hardest. Generaly speaking, I have problems with the way infinity is used these days, as I believe potential and actual infinity are different concepts, but mainstream maths treats them the same ie, as if there is one infinity only. I cannot accept actual infinity being concluded from potential infinity arguments.
    3
  17912. Wish I had found this video 6 years ago when I started med school. Awesome content pal! Greetings from Argentina!
    3
  17913. Cool! During my college years I possessed the linear algebra textbook by Richard Hill, similar content. Some time after I sold it because I was needing some money at that time.
    3
  17914. I wish I had a teacher like this!
    3
  17915. You live up to your name 🙏🏻
    3
  17916. So she's 37. Whats the big deal?? There is no reason why a person at that old, or even much older can't do it.
    3
  17917. Current plan for next semester: Calculus 3 Linear Algebra Probability Theory I (I've already taken a Probs & Stats course in my Comp Sci Department, basically a revision but probably more rigirously) Intro to Proof Data Structures & Algo 23 hour/week STEM job 16 credit hours Yay or Nay? 😅😅😅😅 Here's my schedule on paper (Sunday to Saturday): 60 study hours, 27 working hours (worst case scenario), 10 leisure hours, 52 sleeping hours (7.5 hours per day)
    3
  17918. Cool little example . . . I love the ones anyone can follow, 30 years after their diff eq class. ;)
    3
  17919. I oversee data scientists and they are so bad at coming up with useful analysis it is hilarious. Never take what a data scientist says as even plausible, more likely than not they are finding a line of best fit on a dataset that has nothing to do with your business needs.
    3
  17920. Thank you! This cleared it up for me!
    3
  17921. thank you!
    3
  17922. Hello sir, how many math courses do you recommend self studying simultaneously? Thanks in advance
    3
  17923. Yes! You have to teach yourself! Duh! You spend 1 hour with a professor in class and then typically have 47 hours to yourself in between. Do you really think the professor expects that 1 hour to be the time you are learning the subject or the massive amount of time you have to yourself before the next lecture? Which makes more sense?
    3
  17924. This is great advice! Thank you for giving me a different outlook on taking on obstacles
    3
  17925. Sir, in your channel you demonstrate us myriad types of soviet math books. Actually, I want to improve my Calculus level in that I will take Calculus 101 next semester but the books that you show such as Differential-Equations-and-the-Calculus-of-Variation-MIR is beyond my level since it has lots of differential equations. In brief, which soviet era book should I study first? (Normally I have stewart calculus book but I want to a bit deepen and support my calculus by reading soviet era book)
    3
  17926. Damn this book is freaking cool
    3
  17927. Deep, thanks for the tips
    3
  17928. "How to replace my math teacher?"
    3
  17929. When I was in high school I did terrible in math I felt dumb. I had to look at pictures for a special ed program. I went to college and have taken all the way up through differential equations in school. The biggest accomplishment was making an A in Calculus 2 and 3 it made me realize I’m good at math and has given me great confidence.
    3
  17930. Give idea to fully grab the content of Abstract Algebra, via any book or...
    3
  17931. I think this idea is an over generalization. Roger Penrose is 92 and does youtube videos.I am 61 and currently taking online courses at a large university. Reading and homework are done via software. I can only interact with a teaching assistant via email.So I am basically self studying. I made an A- in Calc 1 and currently have an A in Calc 2. I can still focus for 8 hours or more a day. Age is subjective. I don't consider 61 to be old.
    3
  17932. wow, what a great book. how i wish i had it when i was in school!
    3
  17933. ❤❤❤
    3
  17934. He doesnt blink???
    3
  17935. What has helped me the most of all in this usage of the most important organ that we have, has been the ability to focus on one thing at a time and move my awareness from one thing to another at will. It took some time but being mindful of the what you are doing a the moment and truly putting all that you have in your possession into something (I.E: your body, your eyes, hands, feeling, etc.) really has good dividends both on the soul, body, and mind. Exercise will hone this. Take care my fellow magi and keep learning!
    3
  17936. Once again, don't mind me, I just be jumping around to stuff my professor hand waved a little much for me at the beginning of the first lecture, and I'll be taking many spammy notes in the comment section.
    3
  17937. Okay, so when the RHS has a nice derivative and a nice integral we can use this, got it.
    3
  17938. The weird thing in Germany is, ( U have probably heard that it is pretty difficult in Germany) that we have 16 states and all states have a different difficulty in Mathe or English.... . That is horribl for students , I live in the south and it is harder to be good as in berlin . First u will think it’s good for the kids in Berlin and I have just bad luck. But imagen u are a grade A student in Berlin and there’s a B student from Bavaria , the guy from Bavaria probably gets more easy an job than the kid from Berlin. This system is just wrong for all kids in Germany . Sry my English is horrible right now
    3
  17939. Math Sorcerer, try reading Einstein Factor.. And take an IQ test before and after
    3
  17940. Thank you for the recommendation!
    3
  17941. I have my real analysis final today. Wish me luck!
    3
  17942. damn thats a lot of books haha
    3
  17943. I had to take this class for my IT major, despite there being no prerequisite it got so hard for me that I had to drop it :/
    3
  17944. If I could show you my browser history, you would find 'Can I learn Calculus without Trigonometry' just 2 days ago, hehe! Thanks, Sorcerer/Psychic.
    3
  17945. Merry Christmas, but a great book id recommend for great math happiness is "A History of Mathematics" By Carl Boyer
    3
  17946. Thank you, this really helps me!
    3
  17947. Fun stuff
    3
  17948. Thanks a lot for your content! It helps me a lot and remember me why I do love Mathematics so much :)
    3
  17949. The Math Sorcerer is absolutely right. Math is a language. The more people speak about it, the better they understand it. Thank you for all of your help and advice.
    3
  17950. I like math books when they are thick 😅😅
    3
  17951. Great collection. Thank you for sharing it with your viewers.
    3
  17952. Great Video 👍👍Very helpful 😄
    3
  17953. make video on effectively using chat gpt to learn maths in a more intuitive and interactive way
    3
  17954. Can you do a top 5 video of books you'd have if you were stranded on an island and could only have 5? 🏝️
    3
  17955. Thank you for posting this video!. It can take a long time to figure out and /or to develop an understanding something, but the hard work is rewarding!
    3
  17956. Swole sorcerer
    3
  17957. Thank you Mr. Jeff Bezos wearing a wig.
    3
  17958. the best video with least views
    3
  17959. This is so good
    3
  17960. Great!!! I have bought some books u have recommended so far but had no idea how to start it. This video is exactly what I need!
    3
  17961. Your videos really inspire me ı am not at uni yet but i am preparing for olympics and its very hard sometimes due to i am not used to math proofing and i mean they are olympics they ment to be challanging and i love studying it
    3
  17962. This would be a interesting text to build a series of lectures to fill in the details and build problem sets.
    3
  17963. Thankyou so much, you have no idea how much you've helped, even though this video was made seven years ago.
    3
  17964. 4:46 me after solving a very hard jee adv. problem with wierd terminologies😂 if anyone knows
    3
  17965. Your videos are spectacular!
    3
  17966. Thanks dude ❤
    3
  17967. Dude because of you I started to love maths
    3
  17968. Im really excited for this series!!!
    3
  17969. Many thanks Maths Sorcerer.
    3
  17970. Muito obrigado! Thank you so much. Love from Vietnam and Portugal.
    3
  17971. Thank you so much!
    3
  17972. Nice quick proof upon which other types of odd / even problems can be modeled.
    3
  17973. Wonderful
    3
  17974. Like the trig videos my guy!!!!!
    3
  17975. The EST movement from the 1970s had a related principle: Look at a problem or challenge and decide if you can or cannot solve it. Act accordingly. Never decide to 'try'. This principle worked for me over the decades.
    3
  17976. Sir can u sell this book to me
    3
  17977. True. I think I've watched the videos on real analysis and abstract algebra at least 5-10 each.
    3
  17978. I would say yes, but if you haven't had much experience with proofs, i'd advice you to start with Bartle's Introduction to single variable real analysis, or Marsden's Elementary classical analysis
    3
  17979. This year, which is probably not that good considering it's a couple years into a CS major lol
    3
  17980. Dude, you could transition into data science really easily which is super important for machine learning and AI. Check with some advisers to see how much time it would add if you got a double major or dual degrees in math and CS. I’m at CU Denver and I’m about to do a dual degree with only an extra 2 semesters.
    3
  17981. As both a math teacher and a Magic player, seeing all these videos with uncommented-on MtG coasters is like watching you chose not to prove a corollary that follows trivially from a theorem. Please tell us about your connection with the game!
    3
  17982. Thank you!!! Thank you!!! Thank you!!! Math Sorcerer? You are simply THE BEST!!! Thanks to your video, I have a better understanding of what groups are!!! I'm sharing this video on my Facebook timeline--even though most of my friends there probably won't understand this material. BUT--I now DO!!! Thanks again, Prof. Dr. MS!!! :) :) :) :)
    3
  17983. Thank you from south korea
    3
  17984. Thank you for this video, Professor! What do you think about MS Math( online) emporia state university, MA Math(online) at university of Houston,MS Math( online) at Indiana state university,MS Math( online) at university of North Alabama ,and many more ? Get the help our good friend Google.
    3
  17985. Thank you Youtube algorithm.
    3
  17986. Terence Tao and bartle sherbert these two analysis books are best for starter who wants to learn analysis and it is good for competitive exams also
    3
  17987. That was an epic show!
    3
  17988. Nirvanas unplugged although your show is pretty good too!
    3
  17989. I'm glad that you resist the temptation on getting snobbish by alluding the Loomis-Sternberg Advanced Calculus book.. I love Loomis' book on Harmonic An; or Sternberg in his succinct yet beautiful exposition on Diff Geom.. but people just tend to glorify the book without even consulting themselves of whether it's appropriate or not; but to just brag and conspicuously becomes boastful
    3
  17990. Thanks for bringing exposure to this superb 'outline' ... it was a source of both content and wisdom on Linear Algebra for my preparations during the first time I taught the subject. I would highly encourage you to also review one of the many such outlines produced by Murray R. Spiegel. I would recommend Advanced Mathematics for Engineers and Scientists, or possibly Theory and Problems of Theoretical Mechanics.
    3
  17991. U r right
    3
  17992. ‘It’s a conceptual move, not an algebraic one.’ Fuck 😂😂
    3
  17993. Next semester is online :(
    3
  17994. Happy new year sir .
    3
  17995. 1971?....That explains the nice retro cover....very campy.....give it a whiff....lol
    3
  17996. Thank you, Lord of the Rings
    3
  17997. Thankyou
    3
  17998. Math is more hard for mathematicians :c
    3
  17999. Great Content!
    3
  18000.  @TheMathSorcerer  He runs tuloomath.com and bluecollarscholarmathgeek.com and he's active on stackexchange. His sites really hard to navigate, but he has compiled lists of lecture notes and has reviewed several books. He seems to own quite a collection of math books. I thought he might have been you since your name is kind of similar! Also, you should show off your collection on r/mathbooks!
    3
  18001. Well, at least now I don’t feel like such an idiot, getting stuck working through the first chapter of Rosen. That book is over 2000 pages. So much to get through.
    3
  18002. First
    3
  18003. Have you ever tried teaching your class from Apostol's Calculus books? Would love to see a review of those books as well!
    3
  18004. not last
    3
  18005. Excellent one
    3
  18006. 1:58 🔥 ❤️‍🔥
    3
  18007.  @TheMathSorcerer Minimalism is certainly not exclusively a Jewish thing but I read a description of Ludwig Wittgenstein being like a Jewish holy man 'living on bread, rainwater and silence'. Good mathematical diet there. And then of course there's Ramanujan.
    3
  18008. Meanwhile I am procrastinating this video and saving it for Later 😅
    3
  18009. this good shit
    3
  18010. Muchas gracias!!!
    3
  18011. My guess is, if get through that book, your out of the woods.
    3
  18012. Can a high school student read it?
    3
  18013. i have my maths paper day after tomo and i had zero motivation well guess what not anymore
    3
  18014. 🇱🇰
    3
  18015. Nice
    3
  18016. Thanks for including statistics content today in your video! I have a background in statistics and I own quite a bit of statistics books too. I don't have this one, but I do own Introduction to Mathematical Statistics by Hogg. Thanks for the recommendation:)
    3
  18017. This book in the second edition has in chapter 2 introduction to topology (1977 springer verlag)
    3
  18018. Easy stuff!
    3
  18019. Your voice is actually quite relaxing. This is like unintentional ASMR for me. This video is also very informative. Thanks. 👍👍
    3
  18020. Thanks for Solution
    3
  18021. Thank u very much for your update this vdo 🙏🙏🎉🎉🎉🎉
    3
  18022. Could you make a video about books that you recommend for seniors at high school, and wanting to learn more than what we’re taught at school. So basic undergraduate level books that are easy to read + understand? :)
    3
  18023. Yes, it was helpful very much, thank you!
    3
  18024. Ha! I'm a 10th grader, and I solved it in a minute.
    3
  18025. Well firstly, thank you for every single amazing thing that you have done! Secondly, any recommendations for tensor ( specially that used in relativity) & topology books or lecture series. And for sure are there any topological tensor books recommended?????
    3
  18026. Awesome! Thank you, I was trying to find it on the internet and jumped right here.
    3
  18027. love your passion, your enthusiasm!
    3
  18028. One way I get discouraged is being intimidated by just how much maths there is to learn. I feel like I'm always coming across new topics to explore or new resources for learning. It makes me feel pressured to put all my time into maths to have any hope of learning what I'm interested in. Do you have any thoughts about this kind of impatience for learning?
    3
  18029. Another great video in the books (pun intended)!! I love the way you handle each of your books with care in these videos, Math Sorcerer (MS)!! Thanks lots for producing and posting!! :) :) :) :)
    3
  18030. I worked in the clinical laboratory during the Ebola crisis at the Nebraska Medical Center, and just wanted to inject a bit of a glimmer of hope - we have one of the best biocontainment facilities in the world and have several coronavirus patients in quarantine. The neat thing happening at the moment is the clinical trial being run on an experimental drug initially developed in hopes of fighting Ebola, but is also showing early signs of effectiveness vs coronaviruses. Linked below is a bit more info: https://www.nih.gov/news-events/news-releases/nih-clinical-trial-remdesivir-treat-covid-19-begins
    3
  18031. Math as a progression... I love it!
    3
  18032. currently 11 semester in math bachelor that should ve been done in 6 wish me luck with my thesis
    3
  18033. This is one of my major problems lol
    3
  18034. I played kerbal space program and now i'm studying for a BSc in physics. Finding your content dude is a real blessing. Thank you
    3
  18035. I attend high school in Poland. I wanted to learn things, but I'm....kinda depressed even though I was trying to avoid feeling bad, exercised and I was doing things I like every day also. It's like I have so much useless things to do in school, so I'm tired and I can't really do anything. Feels like public school system is killing me.
    3
  18036. I’m in a teaching program with my university right now for mathematics! I’m learning it’s extremely difficult to teach math, but love it! Working with middle schoolers is hilarious!
    3
  18037. Is a calculus one(schaum calculus ) good?
    3
  18038. Hello Math Sorcerer, great review of a great book. I'm wondering if you have ever reviewed Mathematical Methods for Physics and Engineering by Rilley, Hobson, and Bence?
    3
  18039. thanks bro
    3
  18040. I'm finding measure theory difficult. Too many definitions that wreak havoc for me.
    3
  18041. will you adopt me? <3
    3
  18042. I will hunt down and destroy the first person to dislike this video.
    3
  18043. I have a fourth edition of this excellent book plus a companion book giving full solutions to all the exercises which is perfect for self study and I have enjoyed working through it. Highly recommended.
    3
  18044. This man popped up in my recommendations 3 times and a other time on this self improvement app. So right now I'm watching the whole video after this and honestly I'm glad I did .
    3
  18045. If you are truly dedicated and aggressive about a Graduate degree (Masters, PhD), what you get out of it depends on what you put into it. You could have the opportunity to study at "The University of <I never thought of living there>" which is the right place at the right time for you.
    3
  18046. That's why I build a small e-commerce online shop so I can fund my study and be focus on my study. Especially in a time like Covid right now, time is plenty.
    3
  18047. I wish I could take your classes. You are so dedicated and enthusiastic. Thanks for posting.
    3
  18048. OT: Is there a part of math you haven't explored yet and you want to? I watched many of your videos. There are many about calc, DE's and (abstract) algebra, but I haven't seen any about e.g. cathegory theory or logic books. I'm wondering if you are interested in these topics.
    3
  18049. Is there any other method of solution rather than characteristic and power series.
    3
  18050. I get the impression you made a major score in at a used book library sale
    3
  18051. That second book is exactly what I've been looking for!
    3
  18052. look forward to more live streams and book recommedations
    3
  18053. Hello Sir I am in big dilemma about my major, I want to be a theoretical physicist and Which major should I take math or physics.🙏🏻🙏🏻🙏🏻🙏🏻pls help
    3
  18054. Thanks a lot!
    3
  18055. Every session is a full body workout session for me. full body, all the way, always.
    3
  18056. you know what would be cool, is to rank the difficulty of the problems, like intermediate or advanced and add the subject matter
    3
  18057. I realized that the author of Calculus Made Easy, Silvanus P. Thompson, was born in 1851, in York, England. So, He could have studied with this book.
    3
  18058. Had physics exam today and did work last 5 days straight, but burning myself out and losing motivation. Went in with this mood. Did okay but i should have watched this video just before the exam >.<. Great video keep it up!
    3
  18059. EZ
    3
  18060. Thx, sorcerer
    3
  18061. 3:59 The best part.
    3
  18062. So simple and, yet, so powerful! Thank you!
    3
  18063. My study habits regarding math and other subjects are similar to what's in this video. Sometimes, however, it is useful to have a laptop to plot the functions you read about.
    3
  18064. Gracias me ayudo mucho : )
    3
  18065. Thanks bro .... You saved my final exam... ♥️
    3
  18066. I think both math are good for you but I think applied is more important in your case
    3
  18067. @Quantum Bubbles theoretical physics, I just study math and physics during my spare time so I have a long way to go. I m kind of struggling with understanding Forces and Energy problems XD
    3
  18068. Actually I have that exact same book. I got it online about 15 years ago.
    3
  18069. This is great stuff - thank you.
    3
  18070. 3:30 or buy some ear plugs
    3
  18071. I fail math exams and it hurts when I feel discouraged. But I started off knowing that I wanted to learn and learn math and do everything I want to. Whenever I am told that math isn't for me, it hurts because it's for everyone and not just people who get good grades and no one has the right to look down upon you or tell you your choices and goals are invalid. No one has the right to place others or themselves above you because of grades either.
    3
  18072. Good explanation, thank you
    3
  18073. I'm such a dope that I could never do any of these things!
    3
  18074.  @TheMathSorcerer  LIFE-SAVER!!!!
    3
  18075. Great video! Always great to go back to trig proofs.
    3
  18076. I think it would be better if you not zoom in that much on the pages, it becomes blur
    3
  18077.  @TheMathSorcerer  I guess so. Awesome channel btw.
    3
  18078. You are literally saving my entire semester!!!! Thank you!!
    3
  18079. Thank you for all your suggestions. And it comes just when I need.......
    3
  18080. jesus you so my hero. hilarious my guy
    3
  18081.  @asdzt123 MIR books in Spanish are also used and are popular in other Spanish speaking countries, like Mexico, Perú, Argentina, Colombia, etc.
    3
  18082. Great collection
    3
  18083. It's just like this everywhere in the world.
    3
  18084.  @TheMathSorcerer  I see. Do you think for you in particular it was a bigger difference than normal because your undergrad school might have been easier than other undergrad programs?
    3
  18085.  @TheMathSorcerer  Right. I'm interested in grad school for math, so thanks for the info!
    3
  18086. I would think since it preparing you to do research/dissertation , then likely the material go more in depth, so you have to understand it more to make a contribution .
    3
  18087. you kinda look like Jeff Bezos 😂
    3
  18088. Oh man, needed this. my burnout happens to coincide with an exam coming up, so it's rough
    3
  18089. I'm no math expert but learning is an art and it's a difficult thing to master, it's not a matter of how difficult a subject can be or how smart or dumb you are to do well and master a topic, anything can be hard to learn even languages and even your own and its the same concept with math since its a language. Everyone needs practice and patience [this is also a great reminder for myself]
    3
  18090. thank you!
    3
  18091. First one
    3
  18092. Thanks very much for sharing this. I had no idea there would be a free book out there! What are the best background topics to have studied before diving into this topology book? I'm completing calc3 in school and self-studying discrete math right now.
    3
  18093.  @TheMathSorcerer  Prof writes 168 on the board on the first day of class. Asks what it means before telling the class its the number of hours in a week. Subtracts of 56 for sleep, 8 for eating, and 8 for anything else you need to do to live. Arrives at 96, divides it by three to get 32 and tells us that's how many hours per week we dedicate to his class lmao.
    3
  18094. I started off fumbling around in the dark. Barely followed in math through elementary and secondary.. Was told “well you’re really more of a ‘languages’ person” since childhood. Cool. Returned to school for health sciences. Sure. Whatever. The start of my ~math journey ~ was just to fulfill some requirements; the process has been so rewarding that I changed direction based on wanting to be in a field with more math Initially I wasn’t building any kind of foundation and wasn’t really establishing meaningful skills, but now that I’m finding my footing independently, I’m able to make connections to more ~advanced ideas that i looked at while sort of pawing in the dark. I have no idea how to perform the arguments for some of these ideas, but I’m able to contextualize them and get why the tedious steps are so important! It’s so satisfying when I have a hunch re: certain applications, look into it, and see that I was onto something. It’s like the light at the (never)end(ing) tunnel.
    3
  18095. Wow Man! I have developed the exact same ideas/theories about self studying as yourself. Its so great to hear you think alike. I suggest your channel to my friends - it’s eye opening for everyone. Thanks.
    3
  18096. Power series solutions.
    3
  18097. Greetings Mr.Math Sorcerer, Okay.. Thanks.. Take Care.. With regards, RanjithJoseph (R.J)
    3
  18098. Need a workout video at this point
    3
  18099. This reminds of the Art of Electronics byPaul Horowitz and Winfield Hill. Its due to the gold cover, also that book is gold I remember finding it in the maths section of a bookstore, legendary book!
    3
  18100. You need experience to get experience.
    3
  18101. I feel like there is not enough topology
    3
  18102. Ive always had this problem. What troubles me in maths and calculus is sometimes it doesnt make sense to me and im a guy who would like to understand the whole concept before i would start something. A friend of mine, on the other hand, who is very good at maths told me which sounds bizarre to me at first - dont try to understand, just do it
    3
  18103. Ramanujan is my IDOL....... I am proud of We belong to same country......
    3
  18104. Recently subscribed, love the content, keep it up 👍
    3
  18105. Great video, I’ve remained steadfast to this approach over the past few years and it’s paid dividends. Some advice from my experience when taking action first: - Avoid the trap of thinking “ I should have planned this better” etc when encountering challenges, this has reverted me to action paralysis at times. - Acknowledge there may be gaps in your knowledge before you start, and that’s ok, learning them is part of your goal don’t “hate” them when you encounter them.
    3
  18106. Damn it is at least 15000 pages long! I WILL SPEND MY TEENAGE YEARS ON THIS! (XD)
    3
  18107. Yo
    3
  18108.  @TheMathSorcerer  Oh I see. My bad.
    3
  18109. Thank you Math Sorcerer. Even though I'm no longer taking math courses, I am now furthering myself into the EE career. Watching you makes me HAM out my Homework assignments. Non-stop problems. 100 questions in one book, 50 questions in another, with solutions, and 20 final exam/ee standard exam questions from each chapter. I don't know, what I don't know and doing all these problem really make me solidify a standard, that is fool-proof.
    3
  18110. Every time he learns a new skill, one hair from his head falls out
    3
  18111. I like your enthusiasm and energy you have for mathematics.
    3
  18112. "Give me the math, and give it to me raw"
    3
  18113. I'm at UC Santa Cruz doing a pure math major and here's what it requires: -Calc 1 (differentiation) -Calc 2 (integration) -Vector calc 1 (differentiation) -Vector calc 2 (integration, stokes thrm, differential forms) -Linear algebra (vector spaces and the basics) -Diff eq (solving 1st and 2nd order eq, systems of diff eq, series solutions) -Proofs (set theory) -Number theory (congruence, primes, totient, order, continued fractions, pells equation) -Algebra (groups, dihedral groups, rings, fields, galois theory) -Complex analysis -Real Analysis (point set topology, sequences and series, differentiation, mean value theorems) -Topology (surfaces, classification theorem, euler char and cell complexes, path homotopy, fundamental group, SVK thrm) -Algebraic geometry (curves, bezouts thrm, hilbert's nullstellensatz, affine and projective varieties) -Advanced linear algebra (dual spaces, bilinear forms, normal forms, tensor products, exterior algebras) Lmk if that's easy for undergrad idk!
    3
  18114. 0:03 - 0:12 You would need to specify what ring you are working in. In the trivial ring, 0 = 1 is true. For the sake of this video, then, I suppose we should assume we are working in a non-trivial ring, so that the proof could be conceivably incorrect. 0:32 - 0:43 This is not actually necessary, nor does it add more correctness to the proof. The restraint that x is nonzero ends up being irrelevant. 2:50 - 3:12 It should be noted that a^2 – b^2 = (a – b)·(a + b) is only true if a and b commute, which is to say, if a·b = b·a. Since x = y, x·y = y·x is indeed true, but this should be stated. 4:10 - 4:11 At this stage in the proof, we most definitely have a 0 = 0 situation. Specifically, since x = y, it follows that x – y = 0, and so (x – y)·(x + y) = 0·(x + y), while y·(x – y) = y·0 = 0·y, and so we have 0·(x + y) = 0·y. 4:12 - 4:41 This is where the proof went wrong. As I noted in my previous paragraph, the equation (x – y)·(x + y) = (x – y)·y is equivalent to 0·(x + y) = 0·y, since x = y implies x – y = 0. What the video is thus effectively doing is declaring that 0·(x + y) = 0·y implies x + y = y, which is not true. This is because, even when a is not equal to b, 0·a = 0·b = 0, and this is true in all rings. This is equivalent to just saying that 0·2 = 0·1 implies 2 = 1, which is obviously not the case. 5:13 - 5:29 This means x is idempotent with respect to addition, and since this is a ring, it implies x = 0. This contradicts the fact that x is arbitrary, though. 5:39 - 5:45 This extra restriction is not necessary, all you need is for x to be arbitrary 6:18 - 6:21 Even if it were true, it would not show the universe will end. 9:04 - 9:08 It is not that you are "not allowed to divide by 0." Rather, it is that, since we are working in a ring, as is required for distributivity to apply, and addition, subtraction, and multiplication to be well-defined, it must be the case that 0·x = y·0 = 0 for all x, y, and so 0 is not cancellable, which means that even if a is not equal to b, 0·a = 0·b.
    3
  18115. Nice I can’t wait to check this book out
    3
  18116. Thank you!
    3
  18117. Believe it or not, my main motivation to study math is because I want to know more about this grand creation of His. And by the way, I'm a single parent with economic degree with software engineering job and has obligation to do math whatsoever, I simply like it.
    3
  18118. Thanks for this video. It’s exactly what I needed to listen to.
    3
  18119. Wow, thank you so much! This tutorial helped me pass midterm!! : )
    3
  18120. i watched till the end these are the worst and thw best
    3
  18121. The nth
    3
  18122. Yes please 🙏🤝
    3
  18123. Exactly my thought. So I usually go through a book regardless of whether or not I fully understand it. Because I know when I revisit it twice or thrice it will somehow become clear to me. It just takes time for me.
    3
  18124. I have a longer explanation as to why I dislike books that forego answers at the back, but my short response would be that: I don't bother with questions that don't have answers to them --they're dead to me.
    3
  18125. Hey! I know you like you like to read books to learn and practice math, but could you review Khan Academy? Many people including myself learn from there, and I would like you to give your thoughts on the method of teaching(videos explaining topics), the teaching itself(Sal Khan’s teaching performance), and the style(mastery learning exercises). Thanks!
    3
  18126. Thank you so much!!
    3
  18127. Is the spanish saying you mentioned El que madruga dios le ayuda
    3
  18128. bless you for this, a true life saver
    3
  18129. Thanks sir .
    3
  18130. i cannot unsee jeff bezos with hair
    3
  18131. thank you!
    3
  18132. 1:48 yeaaah this video is very helpful
    3
  18133. The only video in YouTube with 270+ to 0 like, dislike ratio.
    3
  18134.  @TheMathSorcerer  Most of the time i get perplexed when i see the like and dislikes of videos, even in the most innocent videos i see a lot of dislikes. I think, it just shows how different we are. Maybe yours is because you spit the truth and some luck as well.
    3
  18135. Coronavirus has come to Belfast in Northern Ireland and I live just across the border. I am preparing myself for the outbreak. I learned something last week. Salt kills coronavirus in 5 minutes. Look it up in Youtube. Coat your mask or scarf in salt. See this link about salt. Read comments please. https://youtu.be/mkF6Q9amVpQ This next link is better. Others' comments about salt types and how to handle salts. https://youtu.be/g8EgAOoY4Gg I am getting myself supplies of salty snacks like salted peanuts, in case I catch flu and feel weak. Also, I will gurgle throat with salted water.
    3
  18136. Uhm... I see you decided to write a list of my worst habits... 🤔😓
    3
  18137. I vote for the Pauling & Wilson, Quantummechanics. 💪
    3
  18138. Great video! A succinct and elegant proof of showing set inclusion.
    3
  18139. I wasted so much time reading bad books..
    3
  18140. 'Math is hard' Laughs in discovering mathematical phenomena on your own. Nah but seriously math is very difficult.
    3
  18141.  @TheMathSorcerer  Holy God, a maths lecturer making my life easier rather than harder. Thanks, you've got a new fan!
    3
  18142. luckily, physics isn't in my degree plan. its initially contradictory notions remind one of barefoot cactus dancing. very grateful for people who can figure it out though.
    3
  18143. hey please help me to learn maths from first i mean guide me i want to learn it but i dont know how to start before at my school i hated maths and never learned it but now i want to go deep in maths pelase help\guide me ! i love your videos even i dont know maths btw love you
    3
  18144. You do realize that the publisher of the Schaum's Outline Series, for mathematics, owes you a commission? Because you've sold me on purchasing this outline once I complete studying calculus.
    3
  18145. Some interesting comments about comprehension and understanding new concepts and topics via note taking. Definitely agree that if you can explain a new concept to someone else and they understand it you can confidently claim you know what you're talking about. I think a lot of this is context dependent. It comes down to the way the teacher/lecturer shares the information (slideshow vs handwritten examples vs talking). Your teacher and the learning environment you are in and who you study with determines what your experience and probably grades will be. It also come down to your knowledge base and how you learn yourself. I think writing worked examples (or accessing copies of slideshows/powerpoint presentations) is great to have. If you don't understand something in real time having the information available to refer to later can help. I also think its a good idea to review your notes immediately after class. That way you can see if your notes make sense and add any info to reinforce new ideas. The practice of writing things down can aid in the processing of info by add a sensory layer to your learning. There is evidence that handwriting adds an emotional layer to learning and reinforces new material. My son started doing a maths degree at 15 years old (he's been at university now for about 7 years and doing his masters). He was fortunate in that he was able to study online or perhaps unfortunate depending on your perspective. He didn't have any contact or real time conversations with lecturers or other students and not having that was a bit on issue for him in terms of hearing other peoples ideas and perspectives. Also seeing others struggle with the same ideas is oddly reassuring. The great bit about studying online is that you can access the learning material 24/7. There are prerecorded lectures and zoom sessions for tutorials. There are also course notes and textbooks. So there are many ways to process the information depending on what your knowledge gaps are. My son has an auditory processing problem and aspergers and problems with attention and social anxiety. He would not have been able to cope with lectures and the auditorium sounds etc. So studying online was ideal for him. He could watch lectures when he was ready and could skip the bits he knew and focused on the bits he didn't understand and rewatch if necessary. He has dysgraphia and isn't able to write notes and listen and watch in real time. He found that by using an iPad and apple pencil he was able to write easier than using pen or paper. Unfortunately with mathematics and physics class you can't really type answers. So he was given permission to use his iPad for his assessments and exams. He found this made his work more legible and you didn't loose any resolution due to scanning hand written answers. My son has an interesting way of doing mathematics but not necessarily something that I would recommend. He puts on his headphones (so there are no environmental distractions) and plays smash bros on his nintendo switch. He has his prerecorded lectures up on the other screen and glances at the lecturers screen occasionally. That is how he gets through his day. He doesn't take notes, he doesn't read his course notes and just does his assignments plus a practice exam and that all he does. That is to say he does the minimum amount of work possible and doesn't know what study is. He's averages over 90% every semester and it seems to work for him. If he has issues he goes to youtube (will often watch your book reviews to get some extra resources) and will often search online for extra info. All that to say that there is no one way to learn and you have to try and make the most of our strengths and try to adapt to your learning situation. The notes you write should be meaningful to you. Someone who has great tips of writing notes and studying is Samuel Suresh - well worth checking out his youtube channel.
    3
  18146. I've never been a schoolteacher, but I would realize no student has the authority to speak for the entire class. If a student asks "Can we have more homework?" or "Can we wash your car on Saturday," I would interpret that with "I," not "we." Still, quite amusing questions 😄Thanks!
    3
  18147. Beautiful problem
    3
  18148. Thanks
    3
  18149. I feel genius already ,when Newton directly stares at your soul for 9 minutes.
    3
  18150. The above description of how a person starts thinking upon scoring cent per cent in math test is so much like me.
    3
  18151. Gread vid as always! When I was taking AP calculus in HS, we used Howard Anton's calculus with analytics geometry (3rd edition). Not sure if you have it but most likely you do. In college when taking Calculus 3, I also used Anton's book but later edition.
    3
  18152. I just want to say that I am going to graduate from a cc in the summer and I had an epiphany that I suddenly want to learn math. My cc offers math courses all the way up to linear algebra. I will graduate with a degree in General Studies. I'm not looking for advice per say, but I am considering pursuing a mathematics associate's degree at my cc.
    3
  18153. I guess DNE means "does not exist."
    3
  18154. "It only takes 2 weeks"
    3
  18155. that's literally me after having a full mark in a math exam, but after 3 days I turned back to norm LOL
    3
  18156. That was useful
    3
  18157. Back in grade school I always thought of math as an enemy, somthing sooooo far beyond my comprehension, but now, I figured I've give it another shot, my mindset was to make it a friend instead, something to take my time to get to know. And now I don't find it so scary anymore.
    3
  18158. Stay sober. !!!!!!!!!!!!!!!!!!!!
    3
  18159. thanks dude
    3
  18160. I learned how to read playing Dragon Warrior 1!
    3
  18161. 3rd comment...good morning...pls pin my comment sir
    3
  18162. Hey Prof, would you say this is your favorite subject in math, or was during college? If not, what was?
    3
  18163. Lifesaving, thank you!
    3
  18164. Super clear descriptive and to the point. Thank you very much, you are a great math teacher
    3
  18165. Teach whole chapter of complex numbers
    3
  18166. Thank you. This is definitely helpful
    3
  18167. Hi, what abstract linear algebra book do you recommend for someone that jumped directly from computational lin alg to abstract algebra? Should I get Axler, Hoffman Kunze, Lang, or Friedberg Insel Spence? Should I jump directly to Advanced Linear Algebra by Roman? It’s a graduate level book and I’m not quite at the level of graduate algebra yet.
    3
  18168. Thumbnail sounds like :- Stop trying to do this Instead
    3
  18169. this made me feel a lot better about struggling with my maths degree!! thank you
    3
  18170. Thanks.saved me too;)
    3
  18171. Thanks for this, some really interesting books to check out. I have used Fraleigh and Gallilan and I am loving it so far. I have another recommendation for a beginner/intermediate book and thats "Abstract Algebra Manual" by Ayman Badawi. It's quite pricey for what it is (imo) but there are lots of pdfs floating online (not that I encourage this xD) but it is basically a book of common proof questions that is a useful supplement (supplement, you can't learn lots of theory from this book) to the others.
    3
  18172. Thank you so much! Do you have any recommendation on books of Partial Differential Equations with Applications in Physics, cause I'm a physics student. Thanks
    3
  18173. Some lectures notes have been made into books: "Morse theory by John Milnor. Based on lecture notes by M. Spivak and R. Wells". So this is a case where note taking has been of benefit to others.
    3
  18174. Can I read this book despite being a math noob? I'm trying to pick up years later after high school
    3
  18175. Happy New Year, and best wishes to you and your family.
    3
  18176. Thank you!
    3
  18177. If Jeff Besos never founded Amazon
    3
  18178. realistically, how long would this take if you spent 90 minutes a day (of deep work)?
    3
  18179. I say 5 years is enough
    3
  18180. I think the same principle applies to everything in life, things are hard, and people are better and worse to some degree but everyone has to put in the work.
    3
  18181. me with 19% in maths watching this:
    3
  18182. I just finished my BS in CS about 4 months ago so no "required" math classes for me, but I typically spend close to two hours a day improving my math skills. I plan on doing my Masters and perhaps my PhD in Applied Mathematics.
    3
  18183. Ive ran through so many notebooks and pens just doing hundreds of practice problems 😅
    3
  18184. I’m using this series for my DE course. It’s been very helpful and your lectures are very interesting. I have my exams after 2 weeks. The only topic missing is the Fourier series. Can you make videos on Fourier’s series as well (before my exam).
    3
  18185. Slightly stupid question incoming. I’m taking my second semester of algebra in the fall. The professor teaching the class assumes the Sylow theorems, and a considerable amount of material regarding rings and fields were covered. Which text would you recommend for a bootstrap two week deathrun through these topics?
    3
  18186. They didn't teach this at the jedi academy
    3
  18187. Finally You made the video i told you about THANK YOU!❤❤
    3
  18188. Thank you for making these videos. As a third year struggling in college, these are a god send.
    3
  18189. Spoiler: there is no finish...
    3
  18190. Words cannot explain how much you mean to me. thank you so much
    3
  18191. I find that the peace of mind I can achieve through mathematics is inversely proportionate to how much time I have before an assignment is due.
    3
  18192. Complex Variables by Dennis G. Zill is also a great textbook!
    3
  18193. Awesome video! Do you think the education system does a good job in developing and adapting the skills learned in a tradicional and more pure math class to the real world problems?
    3
  18194. Merry Christmas
    3
  18195. I felt as if Calc II was the easiest, in the Calculus sequence (I had a really good professor for it, though). Integration is not as clear-cut as Differentiation is, but Sequences and Series are not that difficult, until getting to Taylor and Maclaurin Series, which can be a little tricky. I thought that Calc III was the hardest, among the three, and even then, there was a couple of concepts that were not so much hard, as much as they were tricky (i.e., the more difficult concepts in Calc III would be setting up certain double and triple integrals (In some cases, also converting to polar/cylindrical or spherical coordinates), Stokes' Theorem, and Surface Integrals).
    3
  18196. Thanks so much
    3
  18197. Cool title
    3
  18198. Please make a video about geometry books . Thanks for your videos Continue
    3
  18199. This video reminds me of the album cover for The Magic Place by Julianna Barwick.
    3
  18200. Epic
    3
  18201. It's so, there is not an easy way, some stuff are hard since are them, if easy are not them.... So take time, make an hard work, you must pain a lot, and suffer. but then you can say..... I know well this and I can explain this to everyone
    3
  18202. Cool, you'll only need like 10 years to go through all these books 😄
    3
  18203. I also had this book in 1966. Second hand.
    3
  18204. Thanks!
    3
  18205. You make a valid point but what if the inverse of a matrix does not exist? My linear algebra professor pwned my entire class with with a question to find the inverse of an m x n matrix where m and n are not equal. I think i was the only one that got that one right although it haunted me until i got my exam back.
    3
  18206. The best book is Thomas calculas written by Anna sir #nucleophile
    3
  18207. It was indeed helpful:) thank you
    3
  18208. "from start to finish" starting with discrete mathematics? whut?
    3
  18209. It would be great to have a spanish youtube channel, you would certanly be one of the best channels of math in spanish
    3
  18210. you look like jeff bezos
    3
  18211.  @TheMathSorcerer  I have Britannicas great books collection so I have some of Euclid's the elements and papers by archimedes
    3
  18212. 😢yo I exist....
    3
  18213. Te quiero
    3
  18214. Good job, I am fascinated
    3
  18215. Ok math sorcerer
    3
  18216. im getting ready for pre calculus so i needed this bite of advice thanks !
    3
  18217. Maths for fun and glory.. Huh self punishing with a twist of mindf##k brain torture..
    3
  18218. In Bulgaria, we learn calculus 1, some analytical geometry, linear algebra(so we're all familiar with matrices and etc before entering uni) and some schools even learn some vector spaces and automata in their technologies classes, also it is very common for math high-schools(like the one I went into) to start with a language like C/C++ which helps a lot due to the thinking you start developing(solving equations through upper triangulation, inverted matrices and etc).
    3
  18219. I found "Algebra For The Common Man: Third Edition (1964)" for $1.00 at a thrift shop. It came from Mt. San Antonio College in Walnut, California. This book works you up from basic algebraic terms and operations all the way up to solving polynomials up to the 4th degree. There is a chapter on Logarithms, and a "new" section on Boolean and Vector Calculus. Other than the book being 58 years old, I found it interesting that out of all the content in here, the chapter on FACTORING is circled in pencil. I remember factoring was a reoccurring issue for others when I took College Algebra.
    3
  18220. Love your channel.
    3
  18221. me saving another one of your videos to buy these books:
    3
  18222. i fell in love with this:)
    3
  18223. Yes, you're completely right. There will never be a right time because it will never arrive. But one thing's for certain is that, if you start now, then you will have enough time to correct your mistakes and actually turn your dreams into reality as those who try and do, will discover.
    3
  18224. Best tips ever!
    3
  18225. Soviet and Russian are not synonym words Soviet is Soviet, Russian is Russian The author has a Jewish last name, actually
    3
  18226. Hi everyone!
    3
  18227. "these two little books" in india is not available at cheap price
    3
  18228. second
    3
  18229. I like your page because you encourage people for mathematical success
    3
  18230. Review clrs if you could
    3
  18231. The best exit strategy is to never exit. Buy and hold. As Warren Buffett says: 'it's not about timing the market, but time in the market'.
    3
  18232. Better Call Saul💀
    3
  18233. Thank you so much Sir. You saved me. Please do more examples on this sir. God bless you ♡♡
    3
  18234. By the way, my father studied with these textbooks and still remembers how to solve most of the math problems. I, on the other hand, unlike my father, forget what I did yesterday.
    3
  18235. Yeah, I have the latest edition from Stewart and Lawson. I got a recent edition of Thomas, but I don't have a Briggs. So I ordered the 3rd Edition along with the Student Solution Manuals.
    3
  18236. Which truck arrives first? The one with the FREE ONE MONTH SUBSCRIPTION TO AMAZON PRIME
    3
  18237. I am brazilian.
    3
  18238. I started on khan academy from algebra, geometry, trigonometry all the way up to calc 2. Then calc 3 on yt with prof. Leonard. Then DEs with the math sorcerer. And after getting encouraged by a couple friends for a while I finally started to learn analysis and abstract algebra (also with the math sorcerer and from a few other resources as well).
    3
  18239.  @TheMathSorcerer  To be fair I knew a little bit of everything because I've already taken it at school or college. But from the point I started I haven't seen any math for like 5 years. And it was the first time I actually learned geometry and trigonometry. I never learned it at school cause they didn't teach it at the time, 3rd world problems lol. I was fortunate enough to have decent english teachers! that helped a lot.
    3
  18240. Nike agrees. Just Do It.
    3
  18241. Good video. The hat is not sorcerous enough, however.
    3
  18242. Thank you so much very helpful
    3
  18243. All books by Gamelin are good
    3
  18244. Super helpful. I was so confused when I had a question like this because my professor never told me that a > b.
    3
  18245. Nobody 's perfect
    3
  18246. I'm failed much more time but I'm trying best of my previous 🙏
    3
  18247. About 5 days ago I came across a vid on sin cos and tan and having watched it I sort of understood it. That was amazing as I was an awful student 40 years ago. So five days later I am coming to terms with such things as the law of sines, Heron's Formula, similarity and super hexagons. I am actually finding it fun, it certainly was not fun 40 years ago. Maybe spherical geometry next.
    3
  18248. Is there any advice for a high school student who's kinda good at math but instead of practicing what they teach in high school, he reads about advanced math like multivariable calculus, variational calculus, partial differential equations, and abstract algebra and stuff like that. he doesn't want to practice the basics like limits, derivatives, basic probability and statistics, coordinate geometry, trigonometry, the stuff they teach at a high school but he is fascinated by the beauty and complexity of advanced math and physics and that's affecting his grades. I have no idea why I wrote it in the third person but that "he" is me.
    3
  18249. Can you do the same for chemistry please?
    3
  18250. For me what I’d usually do is I’d tell myself if you can do this amount of math in this amount of time, then you can play video games or watch youtube as a reward. That worked for me and now I don’t even think about not doing math. Ps i got bored of vid games xD.
    3
  18251. Very cool. Looks just like a discrete maths course
    3
  18252. Sir please make a video on, "How to overcome the depression from breakup?"
    3
  18253. ❤
    3
  18254. This book seems very nice since it has many problems. Most of the problems seem to be applied, and not really conceptual. I have a calculus book at home that has very conceptual questions. for instance one problem has you prove the fundamental theorem of calculus. Do you think that it is more important that a math book have more conceptual and abstract problems or more applied problems?
    3
  18255. This may seem trivial, but its not. When you have to write a proof, for example, there is no formula to follow, so that later you can feel confident, because you followed the formula correctly. What you have to do is come up with an argument, and them comunicate that argument in a coherent way. So you have to say "the statement is true, and here is the reason why". And that, my friends, feeling confident in your own reasoning, its what believing in yourself is all about. I have lots of friends that tell me "i think this is right, but i dont know, maybe im wrong?" Or stuff like that. And the answe is always the same: believe in yourself
    3
  18256. Every NPC who clicked onto this video was hoping to hear themselves be described
    3
  18257. thank You
    3
  18258. You should use a board. That would be very good
    3
  18259. You should do a tube on “rigor”. How it stings when you get your paper back and in red ink it states “lacks rigor”! Ouch!
    3
  18260. thank you so much, studying for my calc 2 final and this was so quick and to the point
    3
  18261. The Math Sorcerer I couldn't sleep, so I have been listening to Cranberries songs written by Dolores O'Riordan, whose soothing angelic voice drowns out the storm outside my window. If you love stormy days, you are very welcome to all the storms from Gallows Hill here. I hope you don't mind the rain as well.
    3
  18262. Thanks for the video!
    3
  18263. Great job man❤️🙏
    3
  18264. Would you recommend that book before discrete maths ?
    3
  18265. This is the best Mathematical Analysis book I have ever read.
    3
  18266. Great
    3
  18267. Wonder what the estimated valuation of your math book collection is?
    3
  18268. There is a book called Concrete Mathematics: Foundation for Computer Science, written by Knuth if you might be interested in.
    3
  18269. No....I will not buy anymore books recommended on your channel!
    3
  18270.  @TheMathSorcerer  wow I didn't expect you to respond. Thank you professor. I really enjoy your videos!
    3
  18271. Go to your school or a public library for a quiet place to concentrate.
    3
  18272. I have enough math background to immediately understand what you wrote on the paper, yet I still have no idea what the book definition is on about. LOL
    3
  18273. Old.!!!!# only outside....🙄
    3
  18274. Thanks. It's very helpfull
    3
  18275. I also did same explanation to satisfied me ,after learning pmi
    3
  18276. Thank you for this video. This is very good advice.
    3
  18277. I read 'C How To Program' at technical college. Learning how to incorporate & program the next generation of integrated circuits into my electronic projects👨‍🎓
    3
  18278. Planning to take Calc 3 & Physics 2 in summer? Any thoughts?
    3
  18279. I want to be a Math's proffeser
    3
  18280. Gracias por el consejo Hechicero. Quiero convertirme en un buen programador y tener una buena vida, pero tengo que esforzarme más, debo dar la milla extra. Estoy pasando por un momento de mucho estrés, frustración y sentimientos encontrados por situaciones familiares, pero sé que voy a salir adelante, ya lo he hecho en el pasado. ❤️‍🩹
    3
  18281. Helps a lot, taking complex analysis at zoom university so thx haha
    3
  18282. Wow, that was quick and straightforward
    3
  18283. cannot get enough of ur videos!!
    3
  18284. Interesting video, but the real answer is"why can't I do both?"
    3
  18285. 🙂
    3
  18286. Challenge accepted...
    3
  18287. Flammable Maths too!
    3
  18288. Study physics and get your PhD, and your life will be as fiercely intensely balanced as you can't imagine in your wildest dreams.
    3
  18289. I read a good book that covers this by velleman. His proofwriting book covers all of sentential and quantificational logic in the first 2 chapters before touching proofs!
    3
  18290. Thank you.
    3
  18291.  @alisson6009  thanks a lot
    3
  18292. you made me from liking math, to loving math with your videos. thank you so much for the words brother.
    3
  18293. My college statistics professor, at a college in the US, was a soviet rocket scientist 😂 he was one of the lucky ones that fled
    3
  18294. I always wanted to read woods advanced calculus but i simply can't find a copy for a price less than 300 eur. I once found a listing with woods cover and it said to be woods for 8 Eur, but i got the wrong book shipped which was Edwards Advanced calculus, which is nowadays still in print and titled Advanced calculus: a differential forms approach. Its kind of an unique book so i was still happy to get it :)
    3
  18295. This was quite helpful for my online calculus class, thank you!
    3
  18296. Ok, Jeff Bezos with hair
    3
  18297. Thank you
    3
  18298. Unfortunately i disagree time is money, this is how the system is built.
    3
  18299. Hello Math Sorcerer, Thank you for your amazing advice. It was really helpful...
    3
  18300. This make so much meaning I can relate to it and understand what your saying and doing but do wish to see more video
    3
  18301. I don't know why i prefer maths in the first place despite failure. Failures definitely discourage us, nevertheless it doesn't matter in a long run i think.
    3
  18302. Really helpful. Thank you so much!
    3
  18303. That was an interesting trick for the integration of the right-hand side
    3
  18304. Comparable adrenaline rush when u solve that problem
    3
  18305. Can you do a giveaway and let me win the book😂😂😂(joke)
    3
  18306. Great video keep up ❤❤❤ love from India
    3
  18307. How to approach a maths problem if you have to solve it in shortest interval of time.. Like questions comes in government jobs competitive exams like ssc-cgl. Please, Make a video on this problem.
    3
  18308. According to the research i´ve done learning a new language or an instrument should really get the brain going. Also reading. Helps as stress reduction tool too.
    3
  18309. these are getting too accurate.....LMAO SOUR cream raisin coookiiessss
    3
  18310. Thats totally not true .. the legendary book is stewart
    3
  18311. Thanks you saved me I wasn't understanding this at all
    3
  18312. Hi math sorcerer, I am from a non tech non math background I am thinking of switching in to data analysis and one of the things to learn in data analysis is statistics as i have no background I wish you could make regarding list of books that one can use to study statistics in academic sense that is used in data analytics. As well as a seperate video on advanced statistics and math used in data science, machine learning, artificial intelligence and algorithms. Thanks
    3
  18313. I need a graph please.
    3
  18314. I love everything about this channel
    3
  18315. I want more of this stuff please !
    3
  18316. Another book I want/need for my library of reference. Even after graduating, I must keep books such as this one for reference and practice.
    3
  18317. "and then when the time is up, you've just used 30 minutes of your life" xD
    3
  18318. how do you get 1 from 2n + 1?
    3
  18319. ​ @TheMathSorcerer  yes. proofs are fun and you explain really well
    3
  18320. I love hearing abt women and men’s contributions from all over the world bc many of these civilizations were on par with if not ahead (also behind in ways too). It’s been a worldwide effort. I love Ramanujan’s equations were meant for future discoveries ie space physics and black hole maths. Tragic story as well, but very cool it was made into a movie. Also he’s from my parent’s birth area☺️
    3
  18321. Abusive notation. I'm done lmao!
    3
  18322. The Math Sorcerer Thanks a lot❤️❤️
    3
  18323. Mechanical engineering major here. My electrical engineering friend told me that chemical engineering is the hardest. He’s one of the smartest guys I know too lol
    3
  18324. Thanks, master, for your support 🤟
    3
  18325. Looks like a pretty cool book! I’d like to check out the CS version.
    3
  18326. Great advice, going to try this for sure ! Thanks and greetings from Argentina !
    3
  18327. I took a course called "time and events" that was cross-listed as philosophy and linguistics. We learned about and worked with Discourse Representation Theory and formal semantics. My acquaintance with model theory definitely helped 🧐
    3
  18328. Wish I would've found your channel before the start of my first semester at uni.. I'm way behind in cal-1 and suffering with other subjects as well.. :(
    3
  18329. abstract algebra final in 2 days ty for coming in clutch
    3
  18330. Really good first point. It's the sort of thing I take for granted, but my students would massively benefit from hearing this.
    3
  18331. UG research in maths? Is it even a thing ?
    3
  18332. Thank you😪 I just subscribed❤🔥
    3
  18333. I'm living and studying outside the US I also didn't really study math in school, so I found myself learning everything from basic arithmetic's through algebra trigonometry calculus and linear algebra (and also mechanics and some E&M) through YouTube, one thing I noticed from the very beginning (even in early topics such as logarithmic equations) is that 90% of math videos that seem to be from the US, tackle way easier examples than the ones that I found in our local textbooks.. almost everyday I got stuck on a problem, searched it on YouTube, found some high quality videos in english, and they were always similar, but way simpler, and so I always had to find the one Indian\Chinese dude on YouTube doing the high end problems.. which made me a bit jealous, I think I'd be a straight A student since day one in the US :(
    3
  18334. Thank you!!
    3
  18335. With every journey we start with what armor and weapons we can then we get the overpowered god weapons
    3
  18336. It's a tough situation for a professor to handle. Cheating is a sign of disrespect toward the professor and the subject matter. A professor desires to impart the passion towards the subject that the professor feels to the student. The student should appreciate this as an obligation upon him or her self when signing up for a course.
    3
  18337. Simple as cake, easy to remember
    3
  18338. I am from India Respected sir I am very big fan of you My hobby is to solve maths hard problems I am able to solve Advanced calculus problems. Maths and maths books is my life . Sir if you see my comment please give me your's wish and good luck to success in my life . Thank you sir
    3
  18339. I just got the last copy available on Amazon! I look forward to going through it.
    3
  18340. Physics people are lonely too!
    3
  18341. Nice to see both you and your students getting so much out of this. This really made me miss some of my teachers.
    3
  18342. The induction example was spot on :D
    3
  18343. cor.i wish that I was an expert on getting beautiful girls into my grasp!
    3
  18344. Great video fella. As a teacher I inspire myself with reading the greats. Reading about V. I Arnold at the minute - it's inspired me to really get educated - just like you.
    3
  18345. Back in the old days (1960s and earlier) many small grocery store owners were great at arithmetic. They often had no cash register in the atore and no electronic or.mechanical calculators, no adding machines. As a result they became great at doing the calculations in their heads. And fast too. Some.of them would jot the calculations on the side of the paper bag and that served as your receipt. They werw good at arithmetic calculations because they had to do them all day everyday.
    3
  18346. Do you have books on Cryptology theory ? I haven't read much reviews about books from that particular sub-branch of Mathematics
    3
  18347. thx!
    3
  18348. What if I have low iq? I guess you have an IQ of 130 maybe
    3
  18349. I’m disappointed he didn’t say genius
    3
  18350. Awesome as a possum with a blossom!!! I believe I've got topological spaces down pat!! As of the writing of this comment, it is after 11:30 pm PT on June 11, 2019 and I hope I can still remember the workings of this concept tomorrow morning!! LOL!! Thanks lots, Math Sorcerer!!!! :)
    3
  18351. How long does it take to study mathematics to become a professional .self-study !
    3
  18352. Helllooo
    3
  18353. Thankful that you made this! Working on a Master's in Data Science, but to be honest, my stats background it pretty weak. I will DEFINITELY be ordering some of those books!
    3
  18354. Thank You!!!!
    3
  18355. insert "thicc" joke here
    3
  18356. Very simple and quick explanation. Thanks so much!
    3
  18357. Thank you very much for share your bibligraphy. I have the Leothold and Swokowski, excellents book for study the wonderful world of the Calculus...!!!👌🏻👌🏻👌🏻
    3
  18358. Ya okay but , How did Jeff bezos Managed to grow this many hair
    3
  18359. Your point about trying different textbooks to gain different perspectives is raised in a book I'm reading now called How to Think Like a Mathematician: A Companion to Undergraduate Mathematics by Kevin Houston. Some of your followers may benefit from checking it out. It breaks down studying math, how to best read mathematical texts and proofs, how to write proofs, etc., in a thorough and straightforward way. It's jam-packed with tips and includes (among other things) a condensed, but still very detailed overview of Polya's four-step method, a section detailing the different proof methods, etc.
    3
  18360. I didn’t do homework only tests in my ODE class. I payed attention during class so I got a 86 but I wish I get practiced more and got an A
    3
  18361. Wow you are so AWESOME!! This advise just nailed it because I'm really struggling with speed right now.
    3
  18362. Woot! Math Sorcerer on League! :O
    3
  18363. I’d love to see you work through a residue theorem problem from one of your complex analysis textbooks. I’m interested in taking a course on complex analysis and find those solutions very beautiful.
    3
  18364. Math Sorcerer, this last serie of videos about taking action and dealing with the procrastination you hit the apple you know.. That is the thing that doesn't allow us to do math, to do other things in life. I watched so many "productivity" youtubers but only Math Blogger's message finally reached me. Last 3 months i did NOTHING procrastinating like hell. But last 3 days I started preparing for my math exam and... thats not that hard you know.. Now I think only about why have i wasted all this time when the answer was so close?
    3
  18365. I once bought a "supplementary" calculus book after browsing it at a book store. It was much terser than the Leithold book, but what really excited me was its some 2 000 integrals presented in an appendix. I have forgotten the author's name, but the book was in Russian language and printed some time in 1950's. Sad to say, I ended up having very limited use for that book, due to my less than even elementary knowledge of the language.
    3
  18366. Good stuff. Wish you more success this year.
    3
  18367. level of difficulty from hardest to easiest: calc 2, calc 1, calc 3 Reasons why they are hard: Calc 2: integration and series, integrals can be a lot harder to solve than derivatives, and series, specifically taylor or Mclaurin ( I can't spell ), most people are not used to the idea of approximating a function with many functions Calc 1: its the intro to calculus, it's new and you probably haven't done it before Calc 3: it's basically calc 1 with more than 2 variables
    3
  18368. Ho, ho, that sounds like the typical elementary / middle school math or science teacher. Life is even more interesting when they are aware that the student knows more than them. The next ones are some jewelz, I have been told: You should not use your fingers to do additions or substractions. You should be still as stone or I will put your answers are wrong. Geometric shapes have nothing to do with art. There are no prime numbers after 100. A rhombus is a square turned. A rhomboid is a square turned slightly. A rectangle is define a having two pairs of equal and opposite sides. You should participate less in class. The height of a triangle can be larger than its adjancent sides. There is no relation between the sides of a triangle. Formulas in mathematics have no explanaition or justification. Especially there is no meaningful connection among them. Ducks are mammals. Are you sure you have finished? If you again made silly mistakes, I will marke it down twice. 3 minutes later. I am sorry you had them all right. If the assingment has no date, then I will mark it 20% down. The algorithm for finding the number of divisors of a number was discovered by a former student a couple of years ago. In any physical process heat is conserved. There is no physical law that can explain magnetism. Also Biot-Savart's Law is wrong. You should use your time to play instead of studying. Sand is not a fluid and any book that says otherwise is wrong. You should stop lying saying there is the factorial of fractional numbers. However, if you had studied a little bit you would have found there is the factorial of negative integers. All physical changes are reversible. All chemical changes are non-invertible. Mosquitos cannot propagate any disease because they only suck superficial blood vessels.
    3
  18369. The way you drew the stick figures is cute Thanks for the explanation!
    3
  18370. Wow this was so helpful!
    3
  18371. Gross🤢🤮 lol yeah....I ain't watching this. But on a serious note, I really appalled u for posting this video & helping others
    3
  18372. It was really helpful :)
    3
  18373. this book is legendary; LISP is a language but something more...it verges on being mathematics of a sort
    3
  18374. L comes to mind (Death Note)...
    3
  18375. On your right side there is a sleeper like thing near the books.... Is that why u are so good?? Lmao
    3
  18376. Ok buddy ok, you scared away da kanye west, now lets focus on math with the rest 🤣
    3
  18377. First comment..:)😀
    3
  18378.  @TheMathSorcerer  😅
    3
  18379. Would you please do a video like the best books for Topology but for Abstract Álgebra ( including the different areas of abstract algebra)?
    3
  18380. An excellent book on this subject is a Schaum's Outline by Murray Spiegel.
    3
  18381. Thank you this is amazing 👏
    3
  18382. Can i become a grand wizard?😂😂😂
    3
  18383. this is all good i think i like the book smell
    3
  18384. Thanks 👍
    3
  18385. Great video! I would add what also helps me is asking questions as I read. Like you, I find picking a topic a random helps me think about a something deeply. I stop and try to think about what I am learning and jot down questions to myself
    3
  18386. Clutch recomendation, thx a lot <3
    3
  18387. Pure mathematics ＆ England ＝ G.H.Hardy？
    3
  18388. astonishing
    3
  18389. Have captions next time Im watching your videos during online math classes And his voice interrupting while watching your video 😂
    3
  18390. I'm interested in people's take on how much a college degree matters? I feel like with math, any potential job out of it really requires the credentialism especially if you intend to do research. I started self-study at home and have no plan for life yet. I wonder do people think one of the online degree offerings from some colleges might enough of a credential to rubber stamp math knowledge?
    3
  18391. Great video !! i looked into a few of the books you showed a few weeks ago. For some, you can't see the table of contents so it's great you showed it !!!
    3
  18392. Dude , you are good , you make this easy, thank you
    3
  18393. So tabular integration is just repeated integration by parts, right?
    3
  18394. Jeff bezos if he had long hair.
    3
  18395. I love you guys, thanks for saving my life in my classes!
    3
  18396. Hey jeff,, is that you who transposes and sorcer us between the everything maths store and the everything store ... vector space is confusing sometimes lol. loved the video very insightful.
    3
  18397. Math is just as hard as the person teaching the course.
    3
  18398. “These markers are so bad” *casually sniffs pen. I think i know where math sorcerer gets his energy
    3
  18399. The best video in the damn internet!
    3
  18400. You give an excellent advice
    3
  18401. You forgot to mention number theory books 🌚
    3
  18402. Wow
    3
  18403. I pronounce it as "tilda". That's how it is usually pronounced in English. It comes from the same word as "title", namely "titulus" in Latin.
    3
  18404.  @TheMathSorcerer  my undergraduate grades are not as good but I am hoping for Postgraduate degree from reputed IIT.It woluld be helpful for me or not for further study in foreign
    3
  18405. I really want to learn differential equations to model complex real life phenomena. I think I'll try the 30 min a day thing. Can anyone point me to a good starting tutorial
    3
  18406. I love your videos ((:
    3
  18407. I've never had math teacher like he. This is gross
    3
  18408. Really helpful
    3
  18409. thank you for the upload!
    3
  18410. Great video! But there's one thing I really don't get. You've said a few times now that you don't like the approach society takes towards math courses and tests. But you always follow up by saying that it's for us to conform to society in this regard. Why not, as a math professor, try to rebel in little ways, maybe even socially acceptable ways, such as giving take-home exams, assigning projects, or overall shifting the way a course is graded to maybe 40% exams instead of 60% exams?
    3
  18411. Great! Thanks 😊
    3
  18412. It is never late!
    3
  18413. Where am I able to get the books, which u mentioned, were just a few dollars, really for a few dollars?
    3
  18414. Hi! I just discovered your channel, and I am a high school student interested in learning more about mathematics, and how numbers work. I always wanted to know how those Greek letters worked, and basically just why things are the way they are. I went to the library, and got some calculus and pre calculus books, but I found that they were a bit too hard. What do you recommend starting with? Right now I have basic algebra skills, but hoping to improve. I really want to understand these concepts, but I don’t want to burden my math teacher. If you have any suggestions or tips, I would greatly appreciate it!
    3
  18415. Brother please make a video on newton Principia mathematica🙏🙏❤️❤️
    3
  18416. ❤❤❤❤🎉
    3
  18417. Are you referring to The theory of substitutions by Netto? If so I have that one as well and it is very different from modern math books. Thanks for showing the book that the young Richard Feynman used to learn calculus, very interesting presentation of calculus.
    3
  18418. Anyone else here procrastinating math to watch a video on procrastinating math? 🤣
    3
  18419. Analogies among mathematics, language studies, and physical exercise for moderation and regularity may extend to dietary protein consumption as practiced among athletes.
    3
  18420. I was watching your 100% video early in the morning then in the evening I saw your live workout and I did some bench presses as well after weeks withtout touching it. Tomorrow I have a certification AI 900 your videos have helped me a lot
    3
  18421. Learning math is different than other subjects. It's like building a track for a train. You can't have a bunch of missing pieces in the track or else the train can't move past that point. Strong foundations makes the journey incredibly satisfying with minimal frustration. Some frustration will come; it's a part of the process and it's feedback that your brain is forming new connections. To me 90% of the frustration was taken away because I now have stronger foundations than I did first time I learnt math.
    3
  18422. That is a good pink neon colour for pen. Much much better and I can see it. Any night-blind students can surely see that colour.
    3
  18423. Thank you 😊
    3
  18424. Ohhh did you pick Lux because she's a sorceress? :0 I used to play LoL a lot, even reached high platinum elo but I got somewhat addicted to the game and that caused me a lot of problems in my sophomore year at college. Now I just play healthy amounts with friends, but got addicted to gymnastics rings and solving differential equations xd
    3
  18425. where can I find the book?
    3
  18426. Another important tip probably for the less advanced courses is to also get the solution book along with the desired or targeted book. Since feeling frustrated with getting stuck is the biggest reason to quit. Another reason (my own personal preference/ opinion) is that the book doesn't explain from the point of view that i enjoy the most eg. It only deals with the formula and how efficiently to solve dosent show the various ways to solve the same problem ie geometrically or by an estimate and logic and what the solution is valid for other range of problem. Finally where all this is used and what is the further scope. In orher words it dosen't give a prespective and sort of a toolkit to enable to solve more interesting problems
    3
  18427. Excellent explanation, greetings from Fresnillo,México. The explanation was very understable. Excelente explicación. Saludos
    3
  18428.  @TheMathSorcerer  I actually enjoyed graph theory. It was mainly proofs but they were a lot more intuitive to me. I do a lot of 3D software work so most of the intuition was already there for me because these 3D and 3D Modeling softwares lay their foundation on graph theory so it clicked really fast for me.
    3
  18429. love from Bangladesh
    3
  18430. Yea David's not too late , im 20 and in 2nd year of college
    3
  18431. I just took a test today and did a similar sum, I put divergent for sum of ln(n+1/n+3) and I'm looking it up if I got it right lol.. I think the two series are similar enough
    3
  18432. Bây giờ tôi sắp bước sang đầu 2x và đây là lời hứa tôi hứa sẽ k bao giờ chơi cờ bạc đây là lúc tôi tỉnh táo nhất🎉🎉
    3
  18433. Shocked to learn you aren't a native english speaker. What's your native language?
    3
  18434. Great one
    3
  18435. Very helpful do you have video with example of rule three into play
    3
  18436. this was super helpful, thank you!
    3
  18437. when reading math always have a pen an paper at hand.
    3
  18438. Mentioning Ramanujan in a video like this is like shooting yourself in the foot. But maybe one could say Ramanujan did have problem with formal methods of proofs when he met Hardy.
    3
  18439. Oh my god Jeff Bezos is trying to look like you.
    3
  18440. I didn't expect to learn something from this video, assuming that because h was in the sqrt in the numerator and h was by itself in the denominator that the denominator would overpower resulting in ≈ 1/h = 0 being the limit. This method is pretty handy in reversing that intuition.
    3
  18441. Would you say the learning curve for grad school math from undergrad is similar to undergrad math from precollege math?
    3
  18442. bro math sorcerer is our goggins lfg
    3
  18443. hey math sorcerer , could u do a video on explaining the order for someone to study the Terence Tao books? its the only logical consistent book I have found so far , which matches my level of understanding , thankiew !!!
    3
  18444. I want this book! Hey sorcerer, can you review "Visual complex analysis"? I forgot author.
    3
  18445. Math modeling and computer simulation, complex analysis, an independent study in pde, the nature of space time, and financial management
    3
  18446. Thank you for this book, it would help me in my analysis course. Despite the fact that I don't understand English very well but it will be fine because it is a math book . This kind of book is rare in French.
    3
  18447. Hello sir I am very very weak in maths
    3
  18448. Thanks ❤
    3
  18449. WELL on which topic do you had send me the book??Thanks🙂
    3
  18450. Nice.
    3
  18451. But why does my teacher said we have to cancel the common factors what is that supposed to mean?
    3
  18452. Man how cool is that
    3
  18453. Thanks! What are some good books to learn multivariable calculus and differential equations in a less theoretical and more practical way, maybe for someone who would want to know these subjects for engineering?
    3
  18454. Thank you for all you do! 😊
    3
  18455. Always coming through with the amazing book recommendations!
    3
  18456. Didn't know Jeff Bezos had a youtube channel
    3
  18457. Because math sorcerer is solving this question :)
    3
  18458. it's the lighting
    3
  18459. Well done! You are using bright neon colours to help colour blind and night blind. Thank you.
    3
  18460. Awesome 😎.
    3
  18461. Thank you very muchh 🔥🔥🔥🔥
    3
  18462. There’s a very quick jaunt from here to the definition of the Digamma function from the Weirstrass form of Gamma
    3
  18463. the most helpful for substitution. Thank you
    3
  18464. Hey YouTube you wanna Ruin my Life by recommending this
    3
  18465. thanks for the reply everyone. i should have mentioned that i have taken a course on proof writing at my school so i am thinking of starting with either one of those books
    3
  18466. I'm not a pen person but my teacher tells me to use pens
    3
  18467. I think it's because of the pressure and the deadlines, if we don't have to study it, then there is no pressure and we can take our time with it. 😁
    3
  18468. A greatest mathematician said that math is a subject in which we dont know what we r talking about.
    3
  18469. 300th like
    3
  18470. I have a newer copy, dark blue cover. It says copyright 1962 7th printing 1966.
    3
  18471. The matrix sucks us down the drain. So much wasted potential.
    3
  18472. What is the book for thus course pls
    3
  18473. Thank you i didn't expect that you will reply this fast + you are wonderful professor good luck ❤️
    3
  18474. Great Advice 😊
    3
  18475. This is sound advice! I was in the military for over 24 years and still don’t understand what happened. Sometimes you just have to march on! Great video, but I still don’t understand math! 😎
    3
  18476.  @TheMathSorcerer  NOOOO!!! THANK YOU SO MUCH SIR! i will make tons of stickers for you, just tell me which sticker to make, you are my favourite!
    3
  18477. Ur the best man…
    3
  18478. Thank you, I was really expecting for you to do this video!!!
    3
  18479. hola profesor, podría contarme que camara usas para hacer estos videos, se ven muy bien y enfoca automático. gracias
    3
  18480. U r one who scare math and run away from it. Ha ha ha ha🤣🤣🤣🤣🤣
    3
  18481. whos going to start the mathematics full percent speedrun
    3
  18482. Yeah, It's about time you end this silly question , c'mon !!
    3
  18483. My dude, I love your videos! Working on a master's in engineering. Found you on a 'complete the square-denominator' inverse Laplace problem. Your stuff is great and you crack me up! Love the love you put out brother, keep on spreading it!!
    3
  18484. 7 views, 7 likes .. sweet :)
    3
  18485. Elementary algebra sounds nice I love it so much and wish to get a copy hopefully soon I hope any more plsz.💋💋💕💕💕💗💗💙💙💙💙🌷🌷🌷💓❤🌹
    3
  18486. Yes. Look up the required text for the class. 100% that way you've bought a cool math text AND required text in one shot. This is the advice I was going to add in the functional analysis video by The Math Sorcerer but I remembered another text and got sidetracked. Yes check out the syllabus and start with that text.
    3
  18487. In india we already study calculus and when we start our study at college we start with the number system so it was preety hard in IMDIA
    3
  18488. Hammack’s is good, and it’s free! If you can afford the $30, I really recommend Jay Cummings’ Proofs. I would have preferred Cummings over Hammack for my introduction to writing proofs, not because Hammack isn’t good but because Cummings is that good. Sorcerer has a video on it and I believe an affiliate link as well
    3
  18489. You made my day
    3
  18490. Good idea not applying to Georgia Tech. I still jump when I hear crunching noises because of how frequently I heard cars crashing in Atlanta
    3
  18491. Great video and hat!!!
    3
  18492. Thanks, I just failed one of my math classes this helped. :)
    3
  18493. I'm sad that going to university in the US is ridiculously expensive. I hope someday education is more reachable for you guys and not just a privilege for a minority, because those loans are really a burden for many.
    3
  18494. "he had to work 60 hours a week" laugh in attorney who has done is fair share of due diligence lol Joke aside, first quality to be good at math is to be smart that is why I could not qualify and why many people can't. Talent will always beat hard work especially when talent work hard and mathematician are talented people with superior intelligence who work hard.
    3
  18495. This is amazing, thank you for sharing!
    3
  18496. Very inspirational, thanks man
    3
  18497. OMG THIS IS SOOO REAL
    3
  18498. Keep him away from chemistry or governments could crumble.
    3
  18499. I wish my teachers were as cool as you lol. My diff eq teacher can barely speak English and your uploaded lessons has definitely saved me
    3
  18500. To be honest, I am not a fan of mathematics competitions. If you like mathematics competitions then no problem, good for you. But for me, it removes the of doing mathematics and turns it into a sport: something you can win. But mathematics is much more of an art form than any else. Also, interesting that you thought you scored very high when you didn’t. Because for me, I have found that I know if I will do well or not, since when I do proof it’s either I do it or I don’t. It’s quite hard for me to give a false proof without knowing (e.g., claiming a false proposition or claiming a proposition without proof). I usually just leave it blank if I can’t do it and that’s how i know I did poorly haha
    3
  18501. Podrías hacer el ejemplo de límite de (x^2-1)/(x+1) cuando se acerca a -1
    3
  18502. With fall sem coming up I needed this!
    3
  18503. So my instinct would be to pivot once you get to the “>k^2+k^2" to proving that k^2>2k+1 for all k>3. I wonder if there is any downside to that method; specifically in how that approach of basing the proof off of another lemma may fail when it is a more difficult problem and perhaps the dependency I need is harder to prove. Any thoughts?
    3
  18504. Negative times a negative is a positive because the real numbers form a field and the results follow directly from the field axioms. Everybody knows this.
    3
  18505. Now everybody knows that you know this.
    3
  18506. I know personally, 2 guys, a couple of years apart in school, that were making bad grades and having to drop courses in engineering and math . they both moved to computer science, one of them graduated 2 years ago and now works in the electronics field for 2 companies, drives a nice car .he does the script for peripheral interfaces . he writes the code that lets the devices communicate to each other. and the other is still in school and loving it. Spoke to him a few months back and he was excited about some class he was taking.
    3
  18507. For some reason, group theory just messes with my brain. Maybe it’s cos I’m a fresher 😂 but seriously it requires a kind of thinking that I’ve rarely seen elsewhere, like as hard as some calculus stuff is you can (mostly) brute force your way through it with time, but for group theory if I didn’t understand it then I didn’t understand it.
    3
  18508. Is it just me or he really is looking like newton
    3
  18509. One thing that holds me back is pay :/
    3
  18510. Thank you for this
    3
  18511. My dad studied spherical trig in public high school, he graduated 1929.
    3
  18512. watching this vid hearing about the virus spreading and school might go virtual gave me serious deja vu I had to pause the vid lol
    3
  18513. You said that sometimes you would talk to a professor after school and it wasn't a great experience, but that it was "a topic for another video". Now I'm curious what happened. lol
    3
  18514. Thank you 😄
    3
  18515. Good question ❤❤
    3
  18516. Was the “I knew a guy, Larry, and let me tell you, Larry was a tall man” based on this Indian student? :)
    3
  18517. Thanks dude for that technique
    3
  18518. Just don’t forget that Euler’s gamma function helps on integrals by parts. You are welcome.
    3
  18519. I really love the music what it's called if I may?
    3
  18520. You are such a great motivator!
    3
  18521. I think I now have the foundation to master self studying but my only problem is that when involved in self studying I forget all my school homewroks and duties that I feel strained and not having enough time which some times forces me to quit that enjoyment in order to find some time to study a useless history book , do you have any suggestions on how to deal with that issue?
    3
  18522. I think it's awesome to take computer science with math and physics also
    3
  18523. I feel alot more happier seeing this. Thank you :)
    3
  18524. those dover books are very deceptive
    3
  18525. also also.... eInStIeN wAs wRoNg!
    3
  18526. I just helped my sister with online Stat hw last night and my stomach started aching. There's a book recommended by Noam Chomsky called 'The Rise of the all Administrative University and Why It Matters.' I haven't read it yet but the summary resonates well: "...faculty are not the primary problem with contemporary academia. Rather, the problem lies in the explosive growth in administration in US universities and the concomitant decline in faculty power in influence. Put simply, "deanlets"-administrators without doctorates or serious academic training-rule the roost, and professors do not have nearly as much institutional power as they used to. Their decline dovetails with another trend: the growing regimentation and corporatization of the university. The fallout, Ginsberg contends, is negative: a de-emphasis on intellectual rigor and the traditional liberal arts. A stinging critique of how universities are run today, this book charts how this happened and explains how we can revamp the system so that actual educators have more say in curriculum policy."
    3
  18527. Sir can you make videos on logarithmic inequalities.
    3
  18528. Attempt jee adv paper 2023 full in one live stream 😊
    3
  18529. I found your channel today and damn! Suffice to say, I really needed to stay a while and listen. Literally wisdom from a sorcerer, thank you for your work man!
    3
  18530. Studying maths is definitely time-consuming. I try economising time in studies. I keep little notebook for jotting down jargons for searches in Wikipedia, where I do lot of exploring, daily. Recently, I have been compiling a list of mathematicians (and physicians as well) in a chronological order, as I am very interested in the history of mathematics. I am studying mathematics plus its history.
    3
  18531. OH MY GOD.
    3
  18532. Great playlist thanks
    3
  18533. Wow I'm never been this early. And yeah you're right 🤟 thanks for sharing your thoughts .
    3
  18534. I bought this book as a hard cover in the 90's for about 3 or 4 dollars, used. It came in handy at my job and was a fortunate find when the book went to soft cover.
    3
  18535. Life saver! Wish my teacher had shown us this.
    3
  18536. The Math Sorcerer thank you
    3
  18537. stochastics7 thanks
    3
  18538. Is this book suitable for studying calculus for the first time?
    3
  18539. I love the music
    3
  18540. Thanks sir. I was able to grasp the concept truly with your lucid method of teaching.
    3
  18541. It's funny to visualize someone cracking out their math book for 10 minutes on a Friday night. #mathbookandchill
    3
  18542. Hello Math Sorcerer, do you have this book in your collection ? Can you make a review on it ? "Differential Equations: Theory, Technique and Practice" by Steven G. Krantz ISBN-10 : 9781482247022
    3
  18543. Watching this at 2x speed 🧠
    3
  18544. We appreciate your insights. Keep working hard.
    3
  18545. That's true! I've been thinking about that lately, i take things reaaally slowly and i hate it! but the thing here is i can't concentrate Do i need music? Silence? The noise from outside distracts me, then I lose my train of thought and shit, another day lost:( heeelp
    3
  18546. Thank You so much 🙏🏻🙏🏻
    3
  18547. Love from Bangladesh
    3
  18548. linear algebra, Here I come !
    3
  18549. I don't know if it was my commentary (I comment a lot because I've already subscribed, but don't have anyone to share the videos and I can't be a member), but thank you for the recommendation, thank you very VERY much. It's already on my "virtual library" (also known as SD card full of PDFs). The self study and demonstration' discussion already on the title just caught me on the first seconds. You're a awesome teacher for doing these reviews, seriously. The only bad thing is to wait for the next one :D
    3
  18550. Thank you for these posts, I enjoy these problems. Also, I am considering your Udemy Course on set theory in order to prepare for learning proofs. Would this course serve as a good intro?
    3
  18551. Not the final simplest form. 1/2 can go away and only summation notion left.
    3
  18552. You don't need the absolute value on sin x? What a lie. sin x is not nonnegative on the interval of integration.
    3
  18553. can't believe you uploaded half and hr ago and im here watching videos from 4 years ago.
    3
  18554.  @TheMathSorcerer  ok sir. We have sent an email.
    3
  18555.  @TheMathSorcerer  hello sir, you must have received a mail from the following id.(physicsforever242@gmail.com)
    3
  18556.  @TheMathSorcerer  sir , can you please reply to our email.
    3
  18557. How about you alphabetize the subjects and then alphabetize inside of subjects by author? that seems like a compromise between aphabetizing and categorizing
    3
  18558. 🔥That's hilarious 🔥😂😂🤣🤣🙏
    3
  18559. Great video! Just wondering if you are on linkedin?
    3
  18560. The IIT-JEE students: thats it?
    3
  18561. You are really genius
    3
  18562. I got my math obsession by planning my a math study sessions with daily goals. It eventually becomes a part of your day, a part of your life and changes the way you think.
    3
  18563. Well something took my attention, your hair style is nice
    3
  18564. A Jim Rohn quote. Well played 😎
    3
  18565. Bruh this saved me!
    3
  18566. OMG this is so helpful u save me thank u very much
    3
  18567. Can you go over how to take good notes? (particularly aimed at proofs/higher level math- there are a lot of tips for calculus but not enough for that high level)
    3
  18568. is there a reason some of us get addicted to doing reciprocal math 1/137 in search of extra math practice Rinmanns 1859 hypothethis? turn energy to matter at the speed of light or faster
    3
  18569. Nice
    3
  18570. About time... font forget calc2, need some refreshers for that too.
    3
  18571. I am taking calc 2 this summer, your videos have been a huge help! Thank you so much!
    3
  18572. This seems really involved for what it is. It’s a nice introduction to induction, but really modular arithmetic makes this ludicrously short with three cases to check.
    3
  18573. thank u sir it was very hepful for me
    3
  18574. Damnn Why is mans not blinking or im high asf right now lmfao
    3
  18575. The Schaum's Outline series of books from McGraw-Hill has many relevant titles at relatively inexpensive prices, and some with videos, too. Two good introductory books on computer science are: 1) Code: The Hidden Language of Computer Hardware and Software, by Charles Petzold, and 2) Introduction to Computing Systems, by Patt and Patel. Number 1) is a good read for almost everyone, and number 2) is a textbook. I used the 2nd edition not so long ago; I noticed there is a 3rd edition newly available that I have not seen. These two books will get one up to the need for the Python and C programming languages, both of which are recommended, in that order. Beyond them, study data structures and algorithms, and how they interact. By then you will be well on your way.
    3
  18576. youre the best. your videos have helped me way too many times. I'd give this video 2 likes if i could
    3
  18577. the problem is turning time into lightning in a bottle. you got bills to pay, social lives to catch up with, and trying to find profit. hard to do.
    3
  18578. Chose math as my major and then I saw linear algebra and now I’m switching to computer engineering lol
    3
  18579. Thank you, Math Sorcerer
    3
  18580.  @TheMathSorcerer  Do you know if there is an easier way to solve a problem where you would need to use a tool called More,s circle?
    3
  18581. Thank you alots
    3
  18582. Nice video!
    3
  18583. I have this book as well as the book called 'elementary differential equations and boundary value problems'. Which one should I start studying first? I've studied only basic calculas uptill high school maths.
    3
  18584. getting better and better !
    3
  18585. GEORGE B. THOMAS CALCULUS AND ANALYTICAL GEOMETRY.....later known as THOMAS' CALCULUS This is a very famous and very widely used Calculus textbook that I LOVED LEARNING FROM in 1970's. This video is like Math Porn !!! LOL !!! The Look, The Feel, The Smell, The Satisfaction !!! LOL !!!
    3
  18586. The book is good
    3
  18587. Dude, you crack me up! 😂 PS: just pulled in a haul of great classic math books. Stewarts 84' Calculus with both matching student solutions manuals, an old softcover Euclidean Geometry workbook from the 50's, an old graduate algebra book and a couple other gems.
    3
  18588. Yep it's very obvious now that I'm in a classroom with ~30 people in Calc 2 compared to Calc 1 with almost 300; and even ~25% of that 300 probably failed Calc 1 or withdrew. About half the majors in Calc 1 were non-STEM, or some sort of Biology/Medical based major; in my particular Calc 2 class it's all STEM students, being taught by a guy trying to get a PhD in a STEM field (he already has a few Masters in different Engineering disciplines).
    3
  18589. Working through Stewart’s Algebra and Trig book and it’s a step or two above Blitzer in rigor.
    3
  18590. I give 20 math problems to my kids everyday. They are in 5th and 2nd grade.
    3
  18591. Hey thanks a lot for the vid its a neat example with integrals. I'm wondering if you would consider making videos explaining/using regulated functions/integrals which was used in my analysis class and the professor said he thinks its a neater way of defining integrals than the usual riemann formulation. Unfortunately i've had a hard time understanding the definitions/examples and there's very little content on youtube that covers it so I'm stuck. Thanks! https://en.wikipedia.org/wiki/Regulated_integral
    3
  18592. Nice Sir. Great video.
    3
  18593. The book that's falling apart can be glued back together with Elmer's glue. Just put some lines of glue on the spine of the book, put all the pages in the spine and let it sit over night.
    3
  18594. Thanks a lot, love while studying, think about the work that you are going to be busy with after graduation, Bravo.
    3
  18595. I'm gonna try this tomorrow !
    3
  18596. Great videos. Still waiting for Ahlfors vs Papa Rudin.
    3
  18597. I cant believe im doing this.
    3
  18598. If you grow a beard, the time you save not shaving can be used for calculus.
    3
  18599. If I had to choose one,which one should I go for – How to prove it –A structured approach or Mathematical proofs: A transition to advanced mathematics?
    3
  18600. Very nice 👏👏👍👍👍
    3
  18601. you're right man. I remember one of my university fellows did MBA at the age of 64.
    3
  18602. "I'm not good at math." is too vague, and that's a good thing. You may have difficulties in some areas but thrive in others.
    3
  18603. Wow you are just amazing and simple 👍
    3
  18604. Woohoo. Physics is my own bane. Hopefully this video helps me a lot
    3
  18605. I needed this video.
    3
  18606. Today, finally, I managed to buy the first volume of Richard Courant's calculus book, published in 1970. I paid, including shipping, the equivalent of $ 12.00.
    3
  18607. Thanks for this inspiring vedio. I am very inspired and happy see this.
    3
  18608. Wow nice explanation, create more videos about that
    3
  18609. Thanks bro
    3
  18610. The human mind does not work that way. You can study for an hour at most, then take a break for about 15 minutes, then review and study at most 1/2 hour. Then go out and do something physical, meanwhile your brain is crunching the material. Hours later you can do additional math. Studies have shown that going over those time limits on any one given subject just erases over previous study. The molecular explanation is that physical changes in the brain take time to occur for that knowledge to be hardwired in your brain. You will notice this in your dream activity, some of which will be solving math problems that vexed you while awake. Want to be the best you can be at math?, Learn a musical instrument, learn perspective, learn a foreign language, swim and bicycle. Go on dates, that is the trying to solve the unified field theory of happiness.
    3
  18611. Very good videos. I think it is really hard to make out if you are cut out for math or not. I mean, Jim Simons got a D in an upper level calculus class in sophomore year at MIT ( or was it Caltech he went to?). What if Simons would have thought, "Wow, math is not for me" and just quit right there, or changed subject? So I believe that usually, it is better to stick with it, but of course there are exceptions.
    3
  18612. Hello Math Sorcerer. What math did you start off with in community college?
    3
  18613. Thanks sir ...... Loosing interest in particular maths paper is the major thing that keeps me away from the whole subject.... thanks for guidance.....can you please make a vedio on "what should be one's inspiration to study analysis?"....I am having very hard time doing that and surprisingly it is bread and butter for some of my friends.❤️ from 🇮🇳.
    3
  18614. why he look like a librarian
    3
  18615. This dude is extremely based
    3
  18616. Great video, thank you, you explain really well!
    3
  18617.  @TheMathSorcerer  Do you beleive being naturally good at math is hereditary? Do you beleive that being naturally good at math has a direct relationship to a parent,s educational attainment?
    3
  18618. yes my college uses it!
    3
  18619. If it's a soft cover and covers many subjects it's no longer a soft cover lol
    3
  18620. I don't know how and why but i hated maths till 8th class but now i am craving for these books😅
    3
  18621. How do you know what goals you should aspire to? How do you trust yourself enough?
    3
  18622. Ha ha, this place where you are recording reminds of Tonari no Totoro movie from studio Ghibli :) ∃ How to Think Like a Mathematician ∈ Kevin Houston is a wonderful book ∀ math students. If ~(reviewed) , consider it.
    3
  18623. Something beeing hard is relative term so starting to learn with saying it is hard is not much encouraging. Leave hardnes to phylosophy. I've learned some topology and it is not hard if you have some previous math knowledge in analysis, set theory... and learning just follows naturaly. Ofcourse it's hard if you start to learn it with primary school knowledge or if you don't have enough higher math experience. ✌️
    3
  18624. I haven't done any serious Mathematics since high school. But I want to be good at it , together with Statistics. I'm currently a developer and I want to go into data science. That's why I want to know Maths and Statistics. I have two questions 1. Am I being too over optimistic thinking I can learn Mathematics on my own (using books and online courses) without a formal institution or an instructor? 2. How should I approach this?
    3
  18625. Thank you so much, you save me from hell
    3
  18626. try 100%
    3
  18627. Thanks for this proof
    3
  18628. In my last semester and you are absolutely correct :) Met some of my best friends and built the fondest memories at Uni
    3
  18629. G.H. Hardy's book on Pure Mathematics deserves consideration !
    3
  18630. Thank you soooo much, I finally got it, it's weird but I only had problem with getting this part. But i'll watch all your videos
    3
  18631. Thanks mann
    3
  18632. In South Africa Computer Science is offered as a double major . You need to pick a second major so im studying Computer Science and Applied Mathematics .
    3
  18633. I do understand what you mean but will like more video to watch and relate with
    3
  18634. That's actually great, I do the same thing with physics. Before I fall asleep, I read a lot and basically everyday something else, last night it was special theory of relativity, and 2 days ago electromagnetism, but it really helps me to put all the pieces together :)
    3
  18635. Loved his energy and passion
    3
  18636. I wish you could be my teacher, you explained this way better than my profesor
    3
  18637. buenardo el video. Thanks for the advice xd
    3
  18638. Yes! I completed that book! What's the music in the beginning? Also PS: Why can't my professors give grace marks for parts done right? You are really kind, Sir 🙏
    3
  18639.  @TheMathSorcerer  Hi math sorcerer do you know about IIT
    3
  18640.  @TheMathSorcerer  Yup its India's biggest technology institute.Well you any kind of job or only YouTube??
    3
  18641.  @TheMathSorcerer  At school or college or university or etc??
    3
  18642.  @TheMathSorcerer  Yeah bro I am that person who asked you about giveaway how should I give you my address.I don't know how to mail.Well I am interested In maths and physics.
    3
  18643.  @TheMathSorcerer  Did you recieve the message I had send it on your website
    3
  18644.  @TheMathSorcerer  Did you send books if yes when it is coming? And thanks bro
    3
  18645.  @TheMathSorcerer  Whenever you will send books plz inform me about that plz reply??And thanks
    3
  18646.  @TheMathSorcerer  Reply bro
    3
  18647. You are Morpheus 🕶
    3
  18648. What if I already am a genius?
    3
  18649. Thanks
    3
  18650. It's really helpful! Thanks.
    3
  18651. This is glorious, and yes, I do think... I might be good at math?
    3
  18652. Thank u very much. This one minute video has helped me so much..
    3
  18653. thank you for translation I appreciate that
    3
  18654. All physicists and mathematicians! Thumb down 😂😂
    3
  18655. Watching the playlist. Very instructive!! Also going to watch your real and complex analysis videos. We need more youtube professors like your channel, who share their knowledge in a non-intimidating way. And this is an advanced level (there are probably enough khan academy videos of basic maths).
    3
  18656. Thank you!!! very helpful!!
    3
  18657. Precisely.
    3
  18658. ♥️
    3
  18659. A quote that needs to be said a lot more!
    3
  18660. Hey teacher, what if you start a program to fully become a programmer 😅
    3
  18661. The best video suggested by youtube's algorithm
    3
  18662. thank you!
    3
  18663. I am 156 and I love this
    3
  18664. Careful reading is the one that's only working for me, but it takes so much time. Whenever I've tried to skip something or get rid of it, it always stayed back waiting for me on the next chapter. Whatever you skip or not fully understand will be waiting for you in the future. I have no problem with staying focused and studying all day if needed, but it's annoying that even though I am studying every single day I am not able to follow the pace of classes. I feel that professors just go way too much through the theorems and proofs, rather than forcing (and helping) us to actually understand why something gonna work. I mean, you can't prove something if you don't know what you want to prove. So when I was just trying to go over things, it was horrible, I couldn't even pass the exam. Nowadays, when I am actually trying to visualize things, thinking about what I am reading, how it can be applicable in daily life, what's the best analogy, what's so important about that, what's our goal in the proof, why are we taking those exactly values while proving it, I am either going to get excellent grade or nothing.
    3
  18665. These live streams are cool haha
    3
  18666. I have a lot of old Romanian math books, mostly from the communist regime. They're actually some pretty great resources.
    3
  18667. Yeah..👊🔥 That's true❣️
    3
  18668. Yo peeps i got an 88 in calc 2 its not that bad with the right prof but im struggling harrrd in calc3 rn
    3
  18669. You were plenty polite.
    3
  18670. Wait do you actually play league? Also would play league with me lol
    3
  18671. the problem is most professors (at least that I've encountered) have the opposite philosophy to you. They tell you that middle schoolers get the stuff you're struggling with. They literally tell you to "try harder" if you don't get some of these concepts. This sort of stuff can gaslight you into thinking you're not enough and need to put in the hours to grind out that one problem. It attacks your ego directly. These toxic habits are not so easy to break, specially if you pick them up early in life.
    3
  18672. This is like my aunt but with cook books.
    3
  18673. damn i want this book. topics look really nice
    3
  18674. Hey! I really want to conduct a short interview/talk with you. Let me know if you are interested for an interview/ collab video :)
    3
  18675. I am not here to study Math specifically although I do Physics which is related. But I like the way of thinking and the advises which are so helpful, therefore, I subscribed. Keep going.
    3
  18676. I wouldn't call how I feel "getting stuck". It's more like some sections my speed limit is 45 mph and I am coasting along, then all of a sudden I hit a school zone and decelerate to 25 mph. Even though I am moving slower, I am still moving forward. In my head I know that eventually I will be leaving the school zone and be back at 45 mph. Nonetheless, the difference in speed is noticeable. At these times I just take it line by line, jumping back a little if I need to, and keep moving forward. Cheers, GL all in your studies.
    3
  18677. In Electrical Engineering books, "j" is used for "i", since "i" is traditionally used to represent current.
    3
  18678. Thanks! This gives good perspective i really appreciated this video
    3
  18679. If you have a study space available at home this summer, sign up for an online edition of a quarter or a semester long course offered during the summer session. You will have a constant stream of problems, and a somewhat constrained time frame to accomplish them. The time and grading pressure, and the monetary investment, may motivate action toward good college credits.
    3
  18680.  @TheMathSorcerer  sir, I will be having a very important exam now! It will carry on for a month
    3
  18681. Nice collection
    3
  18682. Great video! Will help me for my exam on the topic next week :)
    3
  18683. Another great video! These hand written proofs are really nice to follow along. Thank you!
    3
  18684. pop out in recommendation of anarchy boy who thinks school is shits... but still watched to, i changed my mind
    3
  18685. I would also recommend a 1st course in dif equ as well. What you get depends on where you go. I have seen sone of this as last year under grad. I split away from physical science and toward stats and psychology.
    3
  18686. Thanks bro im from India and I didn't get understandable video but i find your video and it was very helpful to me thanks a lot ❤️❤️❤️❤️❤️
    3
  18687. Have you ever read "Measure and Integration Theory" by Heinz Bauer? It's a classic here in Germany and I wonder what you might think of it. Especially compared to something like Donald L. Cohns book.
    3
  18688. Wow! You are SO right! Thank you.🙏
    3
  18689. I wonder if there is any interest in an advanced problem, say from the last third of this book, worked out and explained as if everyone is a math grad. The purpose is not to understand the problem, but to be exposed to that level of sausage making. (:
    3
  18690. Sir, Any idea about the best mathematics books for wannabe computer scientist ? Any idea about what type of mathematics used in technology of science fiction movie ? I am just curious to know the mathematics behind of science fiction movie/books technology. Any idea ? Please let me know or if it's possible please make videos on mathematics of science fiction technology. Thank You 👍👍👍
    3
  18691. I'm not a mathematics student or something but this is motivating me to self-study maths.
    3
  18692. 👁️👄 👁️
    3
  18693. thank you for all these awesome books recommendation. have you ever come along of a bad math book? and what makes a bad math book?
    3
  18694. Why aren't all math textbooks like this??? So great!
    3
  18695. First comment 🤣
    3
  18696. Alcohol will screw your mind
    3
  18697. Thank you for all these problem solving videos. They're a nice warmup before studying.
    3
  18698. Absolutely true!
    3
  18699. Man u made me something.. ✨
    3
  18700. thanks a bunch
    3
  18701. Really nailing this ,I’m mister average and think I can go to degree level ,very intuitive teacher
    3
  18702. I got mine on the 20th!Good luck!! And thank you for the video
    3
  18703. I love this, and it was just what I need as I dive back into the world of mathematics. Two books are en route, so they will be read for the pure joy of it, no stress to ruin it because I am doing it just for me, no one else.
    3
  18704. I always thought of a sandwich when applying this theorem. Lol
    3
  18705. Thanks for using a paper and a pencil. It feels so refreshing to hear the pencil movements on the paper.
    3
  18706. Spot on
    3
  18707. Realize that time is too precious to invest in understandig the Cantor-Schröder-Bernstein theorem.
    3
  18708. Thx
    3
  18709. That's amazing.
    3
  18710. I embrace positive thinking as is my habit always. I banish two words failure and fear from my mind; otherwise, they deter my ambitions and dreams. I tell myself many things, but I (almost) never tell them to others, not my family or friends. My rule of thumb, I never openly talk about my goals or ambitions, lest they invite ridicules or disdain. I can talk about them, only once when I have achieved them, but never before then. By habit, I always hold positive images inside my mind and shun negative ones. I think of even the smallest positive things too. For example, I never envision a dirty sink inside my head. Instead of imagining a dirty sink laden with towering heaps of unwashed dishes, I always hold a vision of a sparkling clean sink, all squeaky clean dishes being put away, surroundings all clean and spotless. I always visualise the end results first. Like that, I think of end results such as success, achievements, wealth, etc. Positive images in your mind's eye always gives you brimful energy for doing many things, whereas negative images drain you and leave you with headaches, exhaustion or depression. Everyday when I leave house and walk on foot to work, I always forget the old infamous placename of my home, while I think of paintings, Gregg shorthand, math books, etc. It has a second placename so not to deter property buyers and it has sunny tones. In mornings, I pass by neighbours' houses with gardens, their flowers & trees always filling my head of imaginary paintings. That is always a habit for me. After work, I head home oftentimes alone in the dark. Toward my home, it is then I remember its old dreary placename: Gallows Hill. That never deters me from positive thinking. Up the steep hill, I think happy thoughts or positive images which unfailingly give me great energy to speed up my walks. Then I forget the steepness of hill. During walks, I think of books that I want to read before going to sleep. Mostly math books. When I reach home on Gallows Hill, I am glad for home comforts. As a daydreamer, I hold this future image of me rapidly handwriting numerous articles and theses in Gregg shorthand, though that is only imaginary. I imagine the future me who is never tired of writing Gregg shorthand at least 90 wpm, writing articles for magazines within few hours, churning out 1 or 2 theses every week. Right now, I am only writing prompts while struggling to overcome my Writer's Block. I am not fast enough a shorthand writer, at least not yet. My other dreams of future: My mental galleries of artworks, 2D & 3D animation; my own collection of written works. Of maths, I imagine the future me having read hundreds of great many books by maths professors. Can I ever get there?
    3
  18711. thank you so much
    3
  18712.  @1willFALL  A buddy of mine makes 135k/ yr. As a data scientist. However, he has certifications on top of his bs in math.
    3
  18713. I like when he's teach quadraple integral its easy to understand rather than my high school teacher
    3
  18714. My favorite is when you ask for clarification and they respond with, "It is logical" and that is the only way they know how to explain it.
    3
  18715. You should review an aerospace engineering book I've heard thats the most math intensive engineering course.
    3
  18716. Very Monty Python - well done! XD
    3
  18717. That's freaking beautiful!
    3
  18718. An amazing book to augment traditional textbooks. What really happens each day!
    3
  18719. SUPERB ❤
    3
  18720. thanks
    3
  18721. This video is eminently understandable to anyone who considers mathematics to be a foreign language that requires extended close study through reading and writing, and, as you suggest, listening and speaking. The key point here is to notice translating from the mathematics language to a natural language, such as English. Human brains have specific areas used for natural language processing. Causing conscious linkages between those areas and the other areas used for mathematical language processing via discussions requiring listening and speaking enhances the education of both brain areas. Here is a suggestion to increase attendance at mathematical tea times. Start a book discussion group that focuses its attention on books about mathematics, not books of mathematics. Books about mathematics tend to be written in natural language, or closer to it, than books of mathematics written in mathematical language. For example, consider the titles by Professor Ian Stewart. A tea time book discussion group focused on what he has published would allow more conversation among a wider range of non-specialists, and thus allow more connections among mathematical and natural language understandings.
    3
  18722. I think life's initiate purpose is self actualization, then we start to input version and weights of meaning
    3
  18723. Thank you!
    3
  18724. Great
    3
  18725. TMS: (Dummit and Foote) is the best graduate reference. Lang: Am I a joke to you?
    3
  18726. Creative 😅😅😅🙏🏾🎊🏠💖
    3
  18727. So true! Remember not to use the Respondus lockdown browser when taking a test in any Pearson product. Be sure to close everything except the test page before activating the lockdown browser. It makes starting the test a lot easier.
    3
  18728. 3:38 it is called inflection point
    3
  18729. I know C++, java, and python for data science.
    3
  18730. Thank you sir 🙏🏻🙏🏻🙏🏻🙏🏻
    3
  18731. Nice video. I also discover that we can prove the transitive property by adding a + d = b + c and c + f = d + e.
    3
  18732. i feel like it has to do with steve jobs
    3
  18733. that helps me alord...thank you so much sir......
    3
  18734. DUDE I CANT THANK U ENOUGH HOly crap this blow my mind, i used to have to do half a page of work and now it takes a second, damn thanks a lot deserves a like and a sub
    3
  18735. keep insipiring man!
    3
  18736. this is a sign I should go do my maths homework
    3
  18737. I thought this was real until the one about the book
    3
  18738. TA is treated as nonsense by every reputable graduate program in Finance. J Wolf, MBA Finance (Berkeley), PhD Math (CUNY)
    3
  18739. I thought this would be about people who look at the world through math goggles have a massive advantage over people who don't.
    3
  18740. Ramanujan was so poor that he could not afford to buy a stack of papers to work out his Mathematical problems. He did may be 9 steps on a slate board (that kids used for learning) and wrote the tenth step on a paper to conserve the usage of paper. At another time he is said to have cried out for more food as lack of glucose was hampering his thinking abilities!
    3
  18741. studying that many hours is totally off balance. Take time for yourself and do not feel bad about it. You need a work/life balance that allows you to maximize the time you study. I always found that after a day of letting a concept sink in was better that trying to force it.
    3
  18742. Don't study maths for GPA just find out how it benefit u
    3
  18743. I'm a high school student and my teacher never taught me this in Trigonometry they only used to give us random questions where inner angle was assumed to be a variable I NEVER EVER IN MY LIFE KNOW THIS THANKS ALOT!!
    3
  18744. Good content 👍
    3
  18745. I hate it when I spot cheating in my classes. It puts me in a terrible place that feels police-like, as TMS says. That's not why I got into this work. It's gotten so bad that I can't even give proctored online exams without there being cheating. Many tricks were learned by students in the forced online environments from the pandemic. So, I'm going to shock my students by going back to paper exams this coming year for the first time in over a decade. They will get their grades more slowly, but at least I won't have to worry about that cheating. My guess is most students have forgotten most of the ways to cheat in paper and pencil testing.
    3
  18746. If you ever wondered. this is how jeff bezos looks with hair!
    3
  18747. What can I do as an undergraduate in order to pass my classes with good grades. I am bailing out of university due to some problems I have had, therefore it is hard to continue. Can you make a video on specifically undergraduate failure and how to come out of it. I have many classes that I need to pass and the allotted time that I have given myself is two years to pass with good grades all the classes that I haven't passed. So I think that the video could focus on failure in undergraduate classes and how to come out of it with good grades. I have lost 2 years of university because I was in a very dark place. I still am but now I am motivated to finish these two lost years in the 2 years that I have ahead.
    3
  18748.  @TheMathSorcerer  Great just picked up the pre-calc and calc 1 courses from your website. Hopefully I'll be taking calc 2 in the fall so I'll be looking out for that course. Thanks for the help
    3
  18749. Love from INDIA .love you sir
    3
  18750. This video was much needed my friend :)
    3
  18751. Very clever!!
    3
  18752. "Create your math vision." These are words to live by. Just recently I started writing some of an "essay", it really is just my notes on the main thread of mathematics that I pursue, which is not exactly followed by any one book. Turns out each person's own understanding of mathematics is unique, and that I think is the reason why there are so many books out there. While one book doesn't tell the story that I'm building in my head, they all do, and my task now is to compile the parts relevant for me as I discover this story, and as I discover math itself as only I see it.
    3
  18753. So cool book!!
    3
  18754. Cool stuff
    3
  18755. I love his teaching style🥺
    3
  18756. This was extremely helpful! Thank you!!
    3
  18757. Thanks for this video. This tells me that I don’t need to feel bad about taking 2x the amount of lecture time to go over each lecture. I would like to do all these things, but time management is the biggest struggle since I work, have ADHD, and am trying to balance things like getting exercise and looking after my family’s health, but I guess I just have to accept that I can’t do my best. I wanted to see what your thoughts are on remote classes. My school is remote to begin with (I chose it for flexibility since we are a military family, but the instruction quality is top notch) but I know a lot of people are probably having trouble with remote instruction. Since I’m always in the same room, whether lecture, office hours, or studying alone, it feels like the memory encoding is just not as strong as it was during my first attempt at university. It’s also a challenge to make friends and form study groups when I and the other students have different, busy schedules.
    3
  18758. Struggling with real analysis your vids give me hope n motivation and results
    3
  18759. You a great teacher. Thank you sir
    3
  18760. very very thanks you, best of luck for your upcoming video .keep going thanks
    3
  18761. You are completely right, just stick to your schedule 👍 after some time maybe 3-4 weeks in you will get more intelligent in the subject
    3
  18762. Thanks a lot sir.
    3
  18763.  @TheMathSorcerer  Times have changed and the amount of material taught in Calculus courses has greatly increased. Furthermore, publishing technology now allows easy inclusion of graphs and other instructive illustrations into mathematics texts. I have found that these illustrations are helpful in clarifying concepts and in avoiding misconceptions. The two volume Courant calculus texts were delightful reads in their day. [I am referring to the first English edition, not the far more massive second edition with Fritz John. There may have been an earlier version in German, as was the case with Hilbert and Courant's Mathematical Physics two volume set.] Another delightful read was Higher Mathematics for Students of Chemistry and Physics by Mellor. I read this book in my mid-teens and could hardly put it down. Some of the notation has since changed and a more contemporary version of Mellor's approach was published in the UK about 30 years ago, but it lacked the magic of Mellor. By contemporary standards, I'd have to recommend standards such as Thomas' text or Bruce Edwards' text because of the many thousands of illustrations. These tomes are about 1200 pages each. I also can recommend the three volume calculus set by Jerry Marsden. There is also a three volume set on solutions to the problems, making it a six volume set. [Jerry Marsden passed away in 2010, and CalTech, where he taught, made his text available for free online. Jerry was a great mathematician, a genuinely nice person, and very generous in sending out reprints during the snail mail era.] Gilbert Strang's three Volume calculus book is also worthwhile. At a more challenging level, Paul Bamberg and Shlomo Sternberg's two volume set, Mathematics for Students of Physics and Engineering, is worth considering, but not intended to be a relaxing read, but rather a challenging read, but a worthwhile tome for your library. There are many other worthwhile texts, and this is but a few that come to mind. There are others that are also worthwhile.
    3
  18764. Thank you! I have been struggling with this concept so much until I found this video. Thanks again:)
    3
  18765. #PeskyBird Rare if someone might get this🤔
    3
  18766. thank you
    3
  18767. Whoever wrote you that letter I am in the same boat and grateful.
    3
  18768. Super! Thank you.
    3
  18769. Helpful
    3
  18770. Thank you for putting this list together.
    3
  18771. Really powerful advice!
    3
  18772. Thanks I love u❤
    3
  18773. You make me love math
    3
  18774. I'm not a Magic the Gathering fan, but I did do the table top role playing game thing starting back in the mid 80s and ending in the early 90s. My friends and I played Advanced Dungeons & Dragons 1st edition, and the Teenage Mutant Ninja Turtles RPG to an extent. I used to have all of the 1st edition AD&D books and seeing what really good copies go for today online, I've kicked myself on more than one occasion for selling mine back in the 90s. Hindsight's 20/20, but back in the day, I moved to a different state and no ever played where I was, and I couldn't convince anyone to try, so at the first chance, I sold the books for less than what I paid for them. It made me really sad. I kept my dice though, and added to the collection over the years as I've found sets of RPG dice that I thought looked cool. That's my guilty pleasure: RPG dice. I've got bags and bags of them all over the place. Anyway, thanks for the suggestion on the compiler book. I definitely will look into it.
    3
  18775. 9:16 slight verbal omission. i think you meant this: "because we know addition is an associative binary operation on the set of real numbers" Another example of a non-assocative binary operation is exponentiation. a^b^c is ambiguous. (i think we treat it right associative, without parentheses) https://math.stackexchange.com/questions/1673740/why-is-exponentiation-right-associative " consider the evaluation tree for the expression "a^b^c". It is ^(a, ^(b,c)) because, by order of operations, we evaluate the exponent first." Nice video. :P
    3
  18776. I searched Why some people are so good at games 😋 But found this more interesting 😂
    3
  18777. im taking calc 2 next semester🥶🥶🥶🥶🥶🥶
    3
  18778. Just snagged a copy on ebay! Sweet.
    3
  18779. wonderful video!
    3
  18780. My class uses Rudin :D. And for abstract algebra we use Artin. Sometimes tough books help you gain more mathematical maturity, but sometimes it is nice to step back with easier books like that to gain intuition.
    3
  18781. Are you using pencil? Shocking😱 I think I used pencil last time (8 years ago)
    3
  18782. why does this have so little views, you just cleared so many misconceptions can't thank u lots
    3
  18783. Pls share more shorts videos like that. Good timing✨
    3
  18784. I love you
    3
  18785. I remember when my 4.0 was first tarnished. It was like a nuclear bomb for my mental health and I came very close to dropping out entirely. That point about learning to fail by your standards couldn't be more important.
    3
  18786. I always pay CLOSE attention to the blackboard and leave off writing till later. Rather, I take photo of blackboard at the end, if consent is given.
    3
  18787. Thanks
    3
  18788. I love these videos, if you have time, please upload some proof questions...
    3
  18789. Great vid M.S.
    3
  18790. Thank you from Russia! You helped me well
    3
  18791. I haven't studied math in over 14 years and was average at best in high school but somehow got the feeling it was converging to 1/2 a few mins before you finished :0
    3
  18792. I am glad you are coming to books on each shelf. That book on Introduction to Quantum Mechanics looks interesting. Other books on same shelf are interesting too. I hope you will do shelf to shelf of books. Bad news, I am a book hoarder and I have 4 or 5 homebuilt bookcases. My parents despair when they see books coming in the post. They quiz how much money I spend on them and they would have arguments with me for days. Most books on shelves are on art, comics, literature, creative writing, Gregg shorthand, programming languages, etc. I have only 3 or 4 books on maths. Too many books at home, I now buy mostly digital books. My eyesight not so good, I will soon have got to buy myself a bean bag for sitting in front of a new large TV screen (not mine) and read ebooks from Open Library, Internet Archive, Amazon Cloud, etc. This week I have been watching your videos on a new large TV screen and it was crazy experience. The other day, I have watched all your playlist of over 50 videos on books, all on a big TV screen.
    3
  18793. These are great suggestions, well done. If I may suggest 5 algebraic topology texts they would be: 1) the standard text is Algebraic topology by Hatcher. It’s really comprehensive and covers a full course 2) A concise course in algebraic topology by J.P May which, again, covers a full course in algebraic topology and also includes nice sections about k theory and cobordism to whet the appetite of the reader for more algebraic topology so to speak. 3) Differential forms in algebraic topology by Bott and Tu. this book takes the approach of looking at algebraic topology from the perspective of differential forms and so starts off with a discussion of the de rham cohomology 4) Introduction to Homotopy theory by P. Selick is a nice bridge to fill the gap from a first course to the current research in the subject 5) Topology and Geometry by Glen E Brendon which is probably THE MOST comprehensive text on algebraic topology you will find and it even takes the time to include a chapter about point set topology. P.S. these books are a follow up to the ones recommended in this video, not an alternative suggestion. Algebraic topology is a field of maths in which much research takes place and many other fields of maths like algebraic geometry are finding ways to incorporate the methods of AT and vice versa. One text which I have heard is nice but I haven’t read is the sequel to the second book I recommended is More concise algebraic topology by J.P May and another author whose name evades me. Btw to understand the texts above, you need an (at least elementary) understanding of abstract algebra, but resources for that are for a different comment or maybe the math sorcerer has a vid about that
    3
  18794. Textbooks used to have character and personality, dammit!
    3
  18795. Nyc
    3
  18796. What's your opinion on Calculus from Louis Leithold?
    3
  18797. It’s missing the proof of the Riemann Hypothesis. 😢
    3
  18798. ¡Gracias!
    3
  18799.  @blackboxbs8642  I mean thinking about math problems without a link with reality, I really got a feeling for calculus and linear algebra when it was applied to problems in physics. Without math no physics.
    3
  18800. Teacher: -Hello I am professor Hagenburger and I like hamburgers Students be like: .Taking notes.
    3
  18801. Beautiful solutions! Yes, that’s what it’s all about, isn’t it. Math is absolutely beautiful. Thanks so much for this video.
    3
  18802. Lol
    3
  18803. Thanks, I love videos like this
    3
  18804. covid got me here and the struggle is real...
    3
  18805. I think that this strategy didn't work for me.. I am not saying that I'm super smart in mathematics but if I hadn't spent months trying to visualize Maxwell's equations on my own then calculus wouldn't be my favorite subject now. #iexpectpositivecommentsonthis
    3
  18806. "oh... AWH I gotta do it now! SNIFF OH what a classic!"
    3
  18807. Since I had no number theory, I had that feeling of not understanding what was being presented to me. That means, I would have great difficulty creating any meaningful question to lead me to more understanding. There must be some book somewhere to take away this feeling.
    3
  18808. Really neat! love your content and definitely like this type videos. Cheers from Canada!
    3
  18809. Thank you so much this was way easier than I before thought
    3
  18810. Great video! Thanks for sharing all of these books and your opinion on them. Also, thanks for linking all of the books in the description.
    3
  18811. It depends. We have to have in consideration level of difficulty by several factors ex. professors. In my case I was good at Calculus II (integral) but failed the first time (the professor was extremely difficult level). On next semester I passed the course with a really good one who taught us to do really amazing problems. I passed also Calculus III (several variables) but with low score; I've actually never learned Stokes/Green theorems and their properties, also I almost didn't learn surface integrals. I was good at multiple integration, though. Calculus III was given by the same professor.
    3
  18812. I just got my final grade back for my Calculus I class, it was a 79. I'm disappointed that I was so close to getting a B. I had 24/25 quiz average, but I did bad on the midterm and just ok on the final. The thing is, when I compute my grades by hand, the result I get is an 80. The weighted grades were 16 +24+17+18+5 out of a possible 100. I am thinking about asking my professor for a grade break down to understand what's happening. For reference I went into the midterm with a 100 class average so this is a lot to process. I am being open about this because this is a popular channel, that has helped me understand a lot of mathematics, and because other students going through something similar may benefit from learning about my experience. I put in a ton of work, I have gotten A's in all my other classes, including precalculus, but this course was just overwhelming in the volume of material and I completely panicked during the exams because of the pressure. I still love math and I'm actually considering changing my major to Discrete Math, so this is a hard hit. No matter if this is correct or not I am going to do my best to process this in a healthy way and grow from the experience. I am already studying the disk and shell so I can crush the first Cacl 2 test :) Also, I was recommended to practice doing math under time pressure to train for the exams. Anyway, this is getting long so I'll wrap this up with a question. Do you think it is worth it to reach out to my professor to ask about my grade or would that work against me?
    3
  18813.  @TheMathSorcerer  It was a mistake!! I got a B!! My professor said she noticed my hard work and wished me luck in Calculus 2!! I'm going to be on the dean's list! I recovered from a 65 on the midterm exam!! Thank you for this channel!! I never quit and I will not!! Thank you Professor TMS!!
    3
  18814. This channel (you) always have such an interesting analysis of your topics. Thank you!
    3
  18815. That was a very cool problem, but I was never exposed to that kind of problem in my Calculus classes, but now that I see it, the solution seemed simple. I might have to pick up that book. 🤓
    3
  18816. Wish you were my prof. I've already gone through diff eq, but I came to watch just cause you're so entertaining!
    3
  18817. Life saver
    3
  18818. Clever😁
    3
  18819. Raghuram Kamath & Math Sorcerer. Thank you for info. I just re-edited the list above.
    3
  18820. Anand Kumar You are welcome. I'm sorry if I'm longwinded. Sometimes, I get carried away. I am only an intermediate in mathematics. I will check out Instagram for maths and other things. I once thought Instagram was for selfies. Now, I am going over there to see what I have been missing.
    3
  18821. The rectangle really helps me to understand the concept. Thank you so much.
    3
  18822. Thank you teacher
    3
  18823. Please make a calculus book review playlist on your channel
    3
  18824. Just completed my final first year physics exam and Im feeling good about it!! I failed my second test a few weeks ago, but your videos and the lovely community you've built has really been helping me a lot through all these tough times. Thank you for these videos, they really help me out a lot :)
    3
  18825. I have an exam on exacly those things in a couple of weeks😬 One of the most difficult courses I had up to now, at least for me
    3
  18826. pardon my ignorance but why does that imply an old book?
    3
  18827.  @uohprod  You won't find a book less than 50 years old where you see the word "coördinates" written with umlauts like they wrote it in the XIX century. Unless you consult a dictionary, of course.
    3
  18828. Good Man U read all comments
    3
  18829. Hi. I am personally already practicing self-study in the area of computer science. Thank you for sharing your thoughts, it is very reinforcing and motivational. When studying, I have a hard time figuring out how to approach exercises. On one hand, I feel like I absolutely need to do most, if not all, exercises to learn anything efficiently. On the other hand, when trying to do all exercises, a) the time investment increases many folds, b) some exercises are plainly very difficult, c) there must be diminishing returns at some point. Do you have tips on the matter?
    3
  18830. Noticed that the author was a professor at the US Naval Academy. Typically, technical books written for the military student are more concrete with many examples.
    3
  18831. don't say "soooooo old" to a person that was born that year or decade lol
    3
  18832. You have the exact same handwriting as me and it's freaking me out lmao. I have a math degree personally so this literally looks like my old homework.
    3
  18833.  @TheMathSorcerer  I'll buy it so I get better at math!
    3
  18834. hehehehe nice intro!
    3
  18835. Dude I should have seen this before, thanks!
    3
  18836. Awesome! Thanks!  @TheMathSorcerer 
    3
  18837. You can never learn anything when your mind is filled with thoughts.
    3
  18838. Thank you
    3
  18839. Woah, suddenly this channel just blew up. Glad to see it!!
    3
  18840. I think I'll do this before long. But I still think it's gonna be tough for me. Yeah as you said no need to worry about the future (https://www.youtube.com/watch?v=ghMYOKe2E_8), but I just cannot stop thinking that my applying would be tough AF. Continuing my math study in China is the poorest choice (at least for me). I want to study abroad for pure math, becoming an international student if you say so. I'm not coming from some top math school that many professors in the world know, like PKU (absolutely the best math department), FDU, ZJU. I didn't survive Gaokao (college entrance exam, toughest in the world). My school ranks ~100 in China I think. And I'm afraid you cannot find its name on the first 10 page of any world rank list. I have no undergrad school background advantage. Will my GPA be convincing? I'm afraid not. Yeah I finished my second year in math, and I got all my math courses (except one) an A. But does that work? I'm studying in an engineer-based school (I transferred from engineer major to math after one semester), and math department is poorly treated. Many advanced undergrad math courses were replaced by computer science courses (but I'm not a fan of it). It's highly possible that I will miss some courses that grad schools require me to take. For example, how could I prove that I'm good at geometry & topology when there is even no grade of set-point topology on my transcript? Yeah there is even no set-point topology course in our undergrad school. Some Euro schools have strict requirements on the courses to be taken BEFORE applying. I need to prove I have some required academic ability. But my GPA won't work very well. Should I expect that I get some kickass recommendation letter from a legendary mathematician? That would be great but focusing on that expectation is not a feasible plan. I hope I could get some chance to 'talk' with application officers but that would happen only if my application material survive from elimination. Yeah I can give a talk about Lebesgue measure on different level, or complex analysis stuff like global Cauchy theorem, the Big Three in functional analysis on F-space or even TVS level, some Banach space technique and how/why to use it in differential geometry. I'm not afraid to do hard analysis or calculation with patience. However I need a lot of effort to get that chance. Good luck to me anyway. When thinking about giving up pure math, it feels like every single parts of my body are saying no. I have to get there no matter what.
    3
  18841.  @TheMathSorcerer  Just a thought, but a video on the basic essentials for someone that wants to get started in calculus could be useful for people like myself.
    3
  18842. Thanku... Very helpful
    3
  18843. If you can impersonate him, you can get even more money.
    3
  18844. Any recommendation for exercise book of linear algebra?
    3
  18845. how to solve (2sinxsecx)/(tan^(2)x) please tell
    3
  18846. Piece of advice, probably not necessarily to this content but you wanted constructive and this is what I came up with! First, Thanks so much for awesome info!!! Secondly, you have strong eyes my guy! Practice softening your gaze otherwise instead of connecting with viewer it can be intimidating :) You did a great job considering this is all I could think of for improvement haha. Again, thank you so much for the lesson today ! Peace
    3
  18847. He gives the answer within the first two seconds of the video. Priceless in modern yt
    3
  18848. hi what you think about studying math without numbers and just letters?is possible,thanks for the video
    3
  18849. Unless your designing an algorithm for let's say cryptography. You are not doing 'math' . This is why we have mathematicians not arithmeticicians.
    3
  18850. Retro Videogames next week, please.
    3
  18851. I can totally recommend the feynman lectures as a second read, though, there is an exercise book out there for the feynman lectures
    3
  18852. He spoke too fast and showed too much work. Unrealistic.
    3
  18853.  @TheMathSorcerer  always waiting for your videos ✌✌
    3
  18854. I wish the "math sorcerer" had been around when I was an undergraduate in mathematics.
    3
  18855. thank u <3
    3
  18856. I do 1, 3, 4, and 5. Though admittedly 1 is sometimes extremely hard or even impossible to do so 1 is like a 50/50 of me doing it to be honest. For #2... I am working on it lol. Sometimes the urge to sleep through my first class wins, sometimes I skip class to do homework for another class. Typically I am really good at going to my math classes, decent at going to my computer science classes, and bad at going to my stats classes, though I am working on it to get all to at least good even if not perfect lol (I am triple majoring in those three things so it is all important)
    3
  18857. You are an aspirin to my math headaches.
    3
  18858. I think the symbols might be Fraktur letters? (Not so sure. The one you pointed to just has that kind of look to it.)
    3
  18859. thank you for existing
    3
  18860. I started liking math when i'm in college because my course is engineering. You know what when i'm studying math subject i feel I feel amazingly good when I get the correct answer. Everyday i solved math. My fav subject is calculus. I didn’t expect why I am very fond of mathematics right now.I don't know why it happens to me. I'm a 2nd year college. School stops because of covid in about 6months. In 6 months everyday i solve math like calculus still practicing then when the school days starts i feel like wow differential equation is not easy but for mee i'm able to solve a lot of problem i feel ko amazing.
    3
  18861.  @TheMathSorcerer  would there be no problem if I take differential equation course after I finish Calculus 3?
    3
  18862. Gracias profe
    3
  18863. Thank you, professor.
    3
  18864. Same
    3
  18865. he really is
    3
  18866. Do you own "Principia Mathematica" by Russell and Whitehead?
    3
  18867. Congratulations for the 100k subscribers 🤩🤩🤩
    3
  18868. Thanks!
    3
  18869. Hello sir
    3
  18870. Thanks man🔥
    3
  18871. Empty vessel is always good than filled vessel
    3
  18872. exactly when i needed it the most, thank you very much
    3
  18873.  @TheMathSorcerer  Thank you! I greatly appreciate all you're doing to help people learn math. Happy to contribute my two cents!
    3
  18874. I didn't do well in school when I was younger. I think I failed Calc 2 twice. I went back at 43 and finished a BS in Math. I feel most proud of getting an A in Advance Linear/Multilinear Algebra. That class was very confusing and enlightening. What is yours?
    3
  18875. you inspire me so much!! love those videos!! thank you!!
    3
  18876. When you say C's get degrees, I get so confused, Here in Sweden, the letter E represents a C, and C+ is D, and B is C, and so on. Great video man! Now I know what to make for dinner too
    3
  18877. just so true. When reading books by myself, I go a little bit slower, but takes more time to think and understand deeper. And the class stuff seems simple as surface touch of the contents
    3
  18878. thank you! very helpful
    3
  18879. 1st like 1st view
    3
  18880. 😍👏
    3
  18881. Not too worry about grades, but I got an A in my DE exam and your videos are largely responsible. So thank you so much!
    3
  18882. Wow, truly a great video.
    3
  18883. The sad part of this video is that here in Brazil, every single book of these costs more than half a minimum salary...
    3
  18884. Ha ha ha, struggle no more. Believe me: this book will have your students thinking so hard that you can almost listen to their neural networks forming in real time...
    3
  18885. Omg i was just searching for a physics book guide after i used urs math one and this just came out
    3
  18886. Please upload more math book collection I love it :)
    3
  18887. This guy is a God.
    3
  18888. What a cool cover.
    3
  18889. This guy is sth else. His advice and experience is amazing! Thank you so much
    3
  18890. man, you're faster than me !!!
    3
  18891. Who's watching in 2024? ❤
    3
  18892. Practice, practice & practice and don't give up because it's a study of patterns. And Last TIP instead of swimming on the water here & there we would prefer to dive deep at one place. 😉
    3
  18893. I've lost count on how many books I've read recommended by you. Each one of them is great. Although being in third world I always get free pdfs
    3
  18894. Thank you very much for this video ! I am struggling with proof by induction and this made it a bit clearer
    3
  18895. THANK YOU!!!!
    3
  18896. Woah, 8 years old video and I learnt so much from here. I wish I was taught like this. I had no idea that cosets are basically equivalence classes!
    3
  18897. The test paper looks like a highly classified document
    3
  18898. School is 90% self study.
    3
  18899. SIR YOUTUBE IS SO DUMB!! IT GIVES ME NO NOTIFICATIONS FOR YOUR VIDEOS!!! I HAVE TURNED ON ALL NOTIFICATIONS, AND done everything, but youtube doesn't notify! Nice video!!!
    3
  18900. Please do a detailed review of solutions manual to buck’s book. (it would be great if you flip every single page of this book and pause for two seconds on each page) I need this solutions book as I’m using buck’s book for self study, this book will be my compass to navigate through buck’s advanced calculus.
    3
  18901. I get the big picture first then detail second. I'm starting to see that I love teachings based on a high level. I love visuals
    3
  18902. Those neurons stay connected. As I look with renewal on differential equations and linear algebra from 46 years ago, I still remember what I'd learned, and how difficult it was to learn. Now I can fill in the gaps and visualize the geometric reasoning that lacked. Learning physics helps bring out the origin of the some the math. I have the time, so I can go back later. I do the same with my sketching. I'll draw a scene, then come back later and refine it. I use pencil and shade with eraser. Then I fix it when I'm done.
    3
  18903. I took a year of university physics and calculus, but I was told I need to take an intro to chemistry course because I haven’t taken a chem class in a long time… I’m getting hundreds in that class and everyone thinks I’m smart but when I was in my physics class, I was barely surviving haha 😂 its perspective honestly
    3
  18904. You are the fckn lord of math
    3
  18905. Amazing proof!
    3
  18906. I have spent alot of time on one problem only for me to realize I accidentally wrote it down wrong while in class .I now have contacts and can see better 💀
    3
  18907. If Warren Buffett recommends it, I read it. 📚 excellent book, for sure. And yes, the commentary is extremely well implemented.
    3
  18908. Congratulations! Very well deserved! :)
    3
  18909. Am first again
    3
  18910. TYSM❤
    3
  18911. Is this a personal attack?
    3
  18912. thanks man really helpful
    3
  18913. I just completed part one of Matrix sheet 30 questions in 5 hours I feel very good doing it ❤😊 Thanks Math Sorcerer. You videos are helping me. I just hope now that I'll build speed in solving questions 😅
    3
  18914. Please make a video for choosing best math books.
    3
  18915. thank you my man
    3
  18916. Nice thank you so much specially for introducing and suggesting books video
    3
  18917. Sir u have already uploaded many DE lectures so if i want to learn from scratch in which order i shd go
    3
  18918. Just what i needed as more motivation for my calc exam tomorrow 🥺❤️ soo scared of failing again 😭
    3
  18919. I believe he has these videos in Spanish, too.
    3
  18920. Well, if a person is interested in Math, that person would certainly gravitate towards it, that would be make it more likely for that person to succeed. However, if a person is not interested in Math at all, it is only for so long that one can force oneself to keep solving problems. From my perspective, there are many other things in the world than Math, if you're not good at Math, then find your niche somewhere else.
    3
  18921. Wanted to comment and say THANK YOU! This was a confusing concept (specifically between stratified and cluster) and you explained it in such a way that made it make complete sense. Thanks for using the same example and expounding upon it in two very different ways. It made the most sense.
    3
  18922. I was able to get the Mathematical Analysis book, used, 2nd printing for about $35 from Amazon, Unfortunately, a reasonable price on this text does not seem to exist.
    3
  18923. Thank you so much it helps me a lot
    3
  18924. Glad you saved my work!!! Thanks a lot from Brazil! kkk
    3
  18925. It's been a long time since I want to do math problems but I am so sacred of small calculations like fraction 😅
    3
  18926. Prof. always speaks nothing but facts, I wish I was one of your students; infact, I would love it yet be quite grateful if you can create a playlist of Partial differential equations "PDE's" for the engineering mathmatics 2 course, it would be extremely helpful knowing that I'll be taking it during my summer semester.
    3
  18927. So, guys, let me be 2/5th 😂
    3
  18928. I never recall there being an end to mathematics, as it is an ever growing science
    3
  18929. Very helpful . Thank you.
    3
  18930. First
    3
  18931. Your advice can be applied to anything you are pursuing.
    3
  18932. I love these longer-style videos a lot, keep it up!
    3
  18933. Why did I just find your video. Your explanation is so easy to digest! Thank you so much professor!!
    3
  18934. There is a national flag of USA hung on the wall. Is it a high school classroom? I just wonder if it Is supposed to be there at every classroom? You have passion in teaching. Great. Passion is all it takes to be a great teacher, I think.
    3
  18935. Wow so easy solution!
    3
  18936. Thank you very much Sir!! Although these properties seem innocent on the face value, they are indeed extremely useful for problem solving.
    3
  18937. Thank you for my daily dose of math inspiration!
    3
  18938. Super helpful, thank!
    3
  18939. I picked up a textbook by Sheldon Ross called A First Course in Probability. I paid 5.99 for it at a used bookstore. It is currently too advanced for me, but hopefully, I will get there.
    3
  18940. People who visualize less while understanding i think learn faster or lets say understand faster but just from a "it is what it is" perspective and not with the total immersion and depth behind.. my friends who can never explain things in general terms are the ones who pass exam quicker
    3
  18941. great list! you get better grades too , they remember if you have prepared question.
    3
  18942. good video, I'm 53 and I'm going to do it
    3
  18943. Hey 👋🏼
    3
  18944. helpful and courage
    3
  18945. If Mark Zukerberg and Jeff Besos having a baby it would look like you not to be mean
    3
  18946. Alright Math Sorcerer MTG Arena stream when?
    3
  18947. Thank you for this. I'm going to save this as a reminder when needed.
    3
  18948. The middle chest is getting really defined
    3
  18949. "Lemme just... *HUFFS PAGES*"
    3
  18950. Well said, i was also learning calc 1 and came across limit epsilon-delta proof. I tried to read it for many times and ask about my teacher what does this mean. but after countless tries and the assist of my teacher, i still cannot understand what does it means. However at that time i already understand how to work the proof so i proceeded to next chapter without knowing that does it means. Untill when i continued to learn again after a long break but now i decided rather then continued to the next chapter, i decided to learn the pre-calc (which one of them is inequality). Then i finally understood that it wasn't talking about value but rather it was talking about distance and it does explain the less sign and the absolute value sign.
    3
  18951. Great tips, thank you!
    3
  18952. What we know AND what we don't know is -- obviously -- unique to every individual. I am not speaking just of math, but of the totality of our mental content. And then there are our personality traits, which add another layer of relative uniqueness. These in turn uniquely determine the way we encode, recollect, process, and learn everything. Mechanical one-size-fits-all devices are naturally poor at accommodating such variety, be they classes or even books (that is why there is no one best book for any math subject, a theme that I think quite clearly emerges in your book reviews). The lucky may find one of those truly gifted pedagogues who possess the rare capacity to track multiple individuals simultaneously. Provided they haven't been throttled by our unwise educational establishment to serve more than they possibly can (I suspect the "magic number 7 +- 2" is in play, a paper our school admins. and politicians appear to never have read). The only effective solution to this age old problem is self tutelage. If you want it done right, do it yourself.
    3
  18953. Thank you. It was very helpful.
    3
  18954. yeah, I took Calculus 1 course of Udemy and I loved it
    3
  18955. The tables are probably from the Work Projects Administration Mathematical Tables project from 1938. I have a similar book from 1942, "Spherical Trigonometry with Naval and Military Applications" that I bought at a library book sale in the 80s.
    3
  18956. Love listening you explain sir
    3
  18957. I have read this book and it is very good it is not proof based so you need only calculus.
    3
  18958. So I saw the thumbnail and I was like.. wait, that's an invalid question... So I clicked on the video and am like ooh😁. N>4
    3
  18959. Comes in handy for Quadric Surfaces!
    3
  18960. ♥️♥️
    3
  18961. Thank you so much for sharing your knowledge here on YouTube! I'm glad that I can have access to your videos!
    3
  18962. Totally, but most of works up to professional are always required patience. Such as drawing portraits and learning another language when you are an adult.
    3
  18963. FUNNY OR A COINCIDENCE,YOUTUBE KNOWS THAT THERE ARE MORE THAN 500K PEOPLE THAT NEED TO IMPROVE THEIR SPEED.
    3
  18964. we are you from ? you look very Algerian
    3
  18965. What trigonometry is there in calculus?? I learned calculus in Ireland so I don’t know what he’s talking about
    3
  18966. 4:37 Easter egg: there's 5 digit of pi on the left
    3
  18967. I didn't know Jeff Bezos had a youtube channel !
    3
  18968. I love you man, thanks for the motivation! I really needed it!
    3
  18969. lo amoooo <<3<3<<3
    3
  18970. okay good, now that im deaf we can get started with the lecture!
    3
  18971. Genuinely enjoyed this
    3
  18972. I wish that they had one of these for algebra
    3
  18973. "Teacher, Teacher! You're so contradictory that you even sound coherent!"
    3
  18974. Nice breakfast for me. Loved it :)
    3
  18975. jeez math sorcerer yoked asf
    3
  18976. I have a 2nd edition(1966)which is a paperback international student edition., including index ,317p, but after all no solutions for exercises. Your book is probably the first edition. YOU have a high-value book!
    3
  18977. That was awesome thank you taking psat this Saturday October 17th
    3
  18978. thank you
    3
  18979. Thank you
    3
  18980. Will B's be ok?
    3
  18981. We never did a Bernuoulli for some reason
    3
  18982. Thinking and solving problems fast is very important , it's must be fast skip steps , very important ,i observed that in those kids good at maths in my school, though i was smart and could understand and do well in physics and maths and physical chemistry the students who were ahead of me they could process derivations faster they could solve numericals fast , and i can solve those same numericals too i knew the way how i should approach the solution too when i read it but there was something in me where i was conscious of each step i do and with my friend who along with understanding had an advantage of speed be it fast calculations , be it's faster application of formulas or be it faster writing and making mind maps that whole thing made difference And now while i am a CS engineer, those friends of mine who were good with speed they are still doing more math intensive subjects
    3
  18983. Thanks sir... 👍💯...
    3
  18984. Nice new microphone and edition. I hope always more people find you to hear those good tips. Thank you for that. I wish I had such a self-awareness back when I made the Master's degree course in math.
    3
  18985. 🤨
    3
  18986. No blueberry pi?
    3
  18987. @Math Sorcerer. I am newly in college, after 25 years I finally got my GED and was accepted to my states university. I placed into math 111z. I am both doing great and barely swimming. Is this normal? Where can I learn more on figuring out where my gaps on knowledge could be filled?
    3
  18988. Recently I've got the meaning of fractions
    3
  18989. Can someone become an expert at something he isn't passionate about ?
    3
  18990. Professor , the book by John Von Nuemann that was advertised at the back of the dust jacket is actually revolutionary since it introduces Game Theory which revolutionized economics
    3
  18991. Can you do a series for teaching Michael spivak calculus book, i am reading it and i absolutely understand nothing..
    3
  18992. ur literally the best ty for making content like this :) <3
    3
  18993. tky very much, im Mexican so sorry for my inglish but realy need that Problem for my University :)
    3
  18994. One of my problems is my goals. I'm studying apply math and computing, I really like maths but I also have computing clases like programing, data structures etc, they are ok. Actually I am not a mess when I have to coding but is too boring! I don't know what to do. Why a want to study Math? I exactly don't know, I like it. What's the purpose? I don't know. I know I may do cool things with machine learning and that things but since I'm taking data structures I say to me that I don't see my self doing any programs. :( On vacations I try to study more math (thanks for the recommendations). Sorry if my english causes you any eye pain.
    3
  18995. What's more mind-blowing for me is how mathematicians look at physics textbooks! If your sort are concerned by the number of variables going on, then it's no wonder my brain was about to explode doing my undergrad.
    3
  18996. "There's so many variables!", MS. "Wait till he gets a load of me!", Navier-Stokes' Equation.
    3
  18997. Seriously, Thumbs up 👍🏻👍🏻👍🏻
    3
  18998. In my robust 71st year, I have the Covid Apocalypse and the Internet to thank for my new and still progressing mathematics education. I learned the platinum value of solitude by working every problem in an old Algebra 1 textbook. Then I joined an on-line math and science instructional website for Algebra 2. Now, 10 months after that step, I'm finishing up its in-depth pre-calculus course with a thorough education in Trigonometry. I'm 🤏"this close"🤏 to beginning Calculus 1, and thanks to thorough preparation it's going to be, "just another math course," on my way through Calculus 2, 3, and differential equations. After that, I'll begin my study of "the real stuff," more advanced math courses at the same website. There ARE NO SHORTCUTS, so it's a fabulous longtime retirement hobby! 😎🖖
    3
  18999. I want to teach my wife maths, so I bought the Algebra and Aritmetic one. 4th edition, looks amazing. Really colorful and well organized.
    3
  19000. Harry Potter and The Math Sorcerer
    3
  19001.  @TheMathSorcerer  --as a possum with a blossom, Blanka!!! :) :) :)
    3
  19002. Sweet, sorcerer
    3
  19003. Yo, I will solve the whole baby rudin by the end of this week.
    3
  19004. wait real analysis is the same thing as advanced calculus? I wonder if my uni's advanced calculus is real analysis 2 or complex analysis?
    3
  19005. Thank you very much sir.
    3
  19006. Does understanding a concept usually take days ? sometimes
    3
  19007. Thank you for the inspiration! I hope to study theoretical astrophysics, and this is just the inspiration I need! I have an IQ of 121 and have been told too many times that I can’t. Thank you again for the inspiration!
    3
  19008. Thank you man! I forgot parameterization from calc 2 for my complex variables course.
    3
  19009. Please continue onto quantifiers.
    3
  19010. So the strat is to start with the definition, ah
    3
  19011. Math people are not elitists, but they ARE absolutists
    3
  19012. College algebra book book sullivan
    3
  19013.  @TheMathSorcerer  You should do a review on this book https://www.thriftbooks.com/w/basic-probability-theory_robert-b-ash/579922/item/10195390/?mkwid=%7cdm&pcrid=474981229867&pkw=&pmt=&slid=&plc=&pgrid=117539251328&ptaid=pla-988288505448&gclid=Cj0KCQiAlsv_BRDtARIsAHMGVSZjkExSWlp7Cm7DfmZhNkJK2z72AJ0C-v-W93o_uS5T2ScbbMDoqsUaAsPpEALw_wcB#idiq=10195390&edition=6709365
    3
  19014. *SMELLS S O G O O D*
    3
  19015. good stuff!
    3
  19016. The Hammock Cam !
    3
  19017. lol.
    3
  19018. I started out with a love for astronomy and ever since I was kid, I decided I would do everything I could to be an astrophysicist when I grow up. When I first started learning math I didn’t really hate it but I didn’t like it either. It wasn’t until I learned of all its powerful applications in science and my need to learn it that I grew to like it. I really started growing to like it when I went to high school. I wanted to take more advanced classes because my classes were easy but I was always afraid to take honors classes and stuff like that. But in my junior year I decided to take precalculus over the summer, which allowed me to take Honors Finite Math/Brief Calculus in the summer. It was there, in the second half of my senior year, that I got a taste of what Calculus was like. That is where I began to fall in love with math. Then I moved on to college starting with calc 1 and from then on my love for math started to grow more and more. I still ultimately love physics and astronomy a little more but if I couldn’t be a physicists or an astronomer, I would probably be a mathematician.
    3
  19019. All of his books are great! I've used the Commutative Algebra, Algebra, and Algebraic Number Theory books.
    3
  19020. this guy looks like jeff bezos lol
    3
  19021. What a calm voice. Thanks !
    3
  19022. Your advice and recommendations are fantastic! Please continue to post these videos. I have an advanced degree in mathematics, but still self study for my own enjoyment and enrichment. One tip that has helped me -- study the same material from several different books. Seeing how different authors describe or explain the same concept can often make the concept much easier to understand.
    3
  19023. Nice outfit 🤓
    3
  19024. Horace Lamb is also the author of the Classic Bible of Fluid Mechanics in the book called "HYDRODYNAMCS". Very authoritative and highly mathematical with a lot of closed form solutions integrals and differential equations. The first edition I think is from 1879 or 1873. About the same year of another classic book by James Clerk Maxwell "A Treatise of Electricity and Magnetism", years before the vector formalism.
    3
  19025. 1st
    3
  19026. Oh thank you teacher.. your staring glued my attention to listen to every single word you are saying.
    3
  19027. thank u, sir. Great help!!
    3
  19028. For me it's heaven😊
    3
  19029. Thank you needed this. Have my discrete math test on Friday 😅
    3
  19030. But I still see old books are much more better because they have more tough contents like spheric trigonometry course you won't find it in modern books. I believe that the harder problems you deal with and the more you master mathematics and the more time you spend with these problems the more intelligent you become.
    3
  19031. I have a copy of the naive set theory book, translated to portuguese, that, unfortunately, for reasons I don't know, the publisher, in Brazil, didn't published entire book, just 112 pages.
    3
  19032. The best jobs in computer science requires a lot of math so I would say minor in math.
    3
  19033. Do no rely on motivation to act in the present.
    3
  19034. Hi math sorcerer :)
    3
  19035. Turn off cell phone. Set-up a auto-reply message to VM & TXT.
    3
  19036. ❤❤
    3
  19037. which grade mathematics is this? Is it university level math in the US and UK?
    3
  19038. Love it thanks!!
    3
  19039. I did hear of it it sounds like a sorcerer but I don't really understand from it so much but thank you a lot love this video.
    3
  19040. Very well explained
    3
  19041. Honestly. Especially if you’re going on to graduate school.
    3
  19042. Thank you soooo much
    3
  19043. oh man U are great THANK U!!!!!!!!!!!!
    3
  19044. Thanks a lot
    3
  19045. I am 40, have a degree and work in a field that I have grown to really be miserable in. I long so much to find something new that sparks a new fire inside of me. I feel like to stay where I am is basically like choosing death over life. I can’t really tell though what I should do..back to school for something else or just find another line of work in something else.
    3
  19046. #FeymanGroove eternal trending in Space/Time continuum divine
    3
  19047. Every time I watch one of your book reviews, I end up wanting to buy the book. I was really good at algebra when I was in high school, but I miss having a book on it - what if I want to review it just for fun? And the page describing Chapter 3 had a nice picture of a dog too.
    3
  19048. Thank you. This video helped me a lot!
    3
  19049. i love your story telling, can you make more of this ?
    3
  19050. Can I make a video request? I’d like to know a lot more about complex numbers, quaternions, and octonions. There currently seems to be a vacuum of content surrounding this trio of topics on YouTube. Even if you can’t simplify the language very much, I’d still love to have an idea of the prerequisite maths.
    3
  19051. i think mathematics got you.
    3
  19052. I have math exam in 3 days, and I just started "learning" the book.. lol
    3
  19053. Just the words I needed to hear! Thank you!
    3
  19054. First again
    3
  19055. thanks man. Im in a part of my life. which I don't know what I want to do. And I don't know how to go about it. this is a really great way
    3
  19056.  @inisen1469  After clawing my way through High School Chemistry in my Junior Year of high school, I gave Physics a shot since it was the last science course offered; if that fell apart, "Scientist" would get scratched off my list. During my Senior Year, Mr. "Nix" helped me rediscover Physics: I was all into gizmos and contraptions when I was a little kid. It was revolutionary to discover that a thing called a "Physics Major" existed! Out of all of the other possibilities I was considering, he collapsed my wave function and vectored me into Physics. It has served me well over the years. That was a while ago: "Against the Wind" by Bob Seger & The Silver Bullet Band was a hit. (We both have held-up pretty well!)
    3
  19057. This video is the new JUST DO IT by shia labeouf
    3
  19058. Thanks!
    3
  19059. Bro thank you so much
    3
  19060. Sir, I just came by to let you know that your arms are growing in geometric progression.
    3
  19061. ​ @TheMathSorcerer  yes, but it is longer than yours, it is interesting to see the difference in the material
    3
  19062. In this book partial drivitve ?
    3
  19063. Do you have any book recommendations to study measure theory? I have finished Folland's advanced calculus in a very complete way.
    3
  19064. Higher Mathematics for Engineers and Physicists by Ivan Sokolnikoff is a superior classic from the same era (c. 1940’s).
    3
  19065. Professor tries to explain the same thing using same sentences but you nod in pain without understanding it and thinking you should definitely have a look after
    3
  19066. Looking nice
    3
  19067. Took me a while to realise that mic had no stand.
    3
  19068. My rut looks like this: 1. Honors math course 2. Subpar performance after a semester of frenzied study. 3. Swear never again. 4. Read course's textbook obsessively. 5. Read textbook intro dozens of times, still confused, and now very morose.
    3
  19069. Hi would you review some of the JEE advanced mathematics books please . They will blow you away, thanks.
    3
  19070.  @TheMathSorcerer  try this one BOOKS BY GHANSHYAM TEWANI a very famous Indian maths author check his YouTube videos also.
    3
  19071. Amazing. Looking Forward to buy your book 💯.
    3
  19072. Well done sir
    3
  19073. Is this guy Jeff Bezos with a wig?
    3
  19074. Yes, very helpful. In my life, I have had to accept that I could not be a mathematician. This video helped me understand why, because I do not have these characteristics over the long term. I have had some of them, but only for short periods of a few months at most. So for example I would not have been able to accept devoting my whole life to mathematics. I am interested in other things as well.
    3
  19075. Thanks, help me a lot
    3
  19076. I retrieved a copy of the 4th Edition from a discard pile. Being mostly a Physics & EE Geek, my mathematical background centered around calculus (real & complex), linear algebra and differential equations, so most of the topics under discrete math are foreign to me. After reading through the first chapter, both the level of difficulty and scope of the subjects seem very reasonable for a sophomore-level text.
    3
  19077. i love this guy. informative stuff and no stretched out videos either. thanks for your service.
    3
  19078. Bottom deriv top minus top deriv bottom all over bottom squared I’ve remembered this expression for 8 years. Never lets me down. Idk why it stays in my head so well, but it does.
    3
  19079. I love the older math books I have from the '50s and earlier.
    3
  19080. Books by James Stewart are trademark!
    3
  19081. thank you so much
    3
  19082. cant wait for the proofs, very nice explanation so far. would love if you try to explain a few "more difficult" proofs aswell
    3
  19083. I've been working through it on and off for a year. Almost 20% done :'D I've been gaining pace though.
    3
  19084. The modest growth and returns over time of an index fund likely exceed the losses incurred by inexpert more frequent trading. Great investors leave track records that are worth study.
    3
  19085. Damn. Can't thank you enough. I just completed derivatives which seemed easy to me, but started to do integrals and it felt hard. After trying I was able to do my school book. I will try this.
    3
  19086. My biggest issue in math is, that I forget and mix up the rules in math when taking a test. I get so much anxiety, that I start to feel like I can't breathe. My professor told me I'm smart, but you rush too fast and mix rules. Honestly, I blame myself not studying a lot. This is a great example of imposter syndrome
    3
  19087. this made me not squeeze my dog
    3
  19088. As I wrote to you before, I used Counterexamples in Topology to get through Math 590 at UofMich in 1972.
    3
  19089. Thanks for the awesome words, totally agree!
    3
  19090. Hi, i was wondering if you know a goog book about cal 3 because i want to learn artificial inteligence and robotics and books about these topics have a lot of partial derivates and matrix, but when i see books like stewart they don't have the complexity of partial derivates with matrix. Sorry for my bad english, greetings for colombia
    3
  19091. I don't think price of the book is much of concern in this day and age of the internet where everything is pirate-able.
    3
  19092. Refreshing my knowledge in diff calculus.. Thank you Sir!
    3
  19093. I'll second this.
    3
  19094. Never seen a YouTube video say “11 days ago”
    3
  19095. what is the difference between these videos version 1 and 2?
    3
  19096. nice
    3
  19097. Wow, you ought to make a video on extraneous solutions. It was my first time hearing about them it certainly was a bit of a mind bender.
    3
  19098. I used to think I'd never live up to my full potential because I had kids at a fairly young age, and then I found out about Euler and realized it's entirely a skill issue
    3
  19099. Clearer than my script, thx
    3
  19100. I'm 52 and still I'm studying, physics, math and so on
    3
  19101. Hi!,there is a Putnam like competition in my country.what do You think about this type of contests?should i train for it and compete???
    3
  19102. This real analysis book is next to order. Thanks for the review. I am only starting to learn real analysis as well as linear algebra.
    3
  19103. we appreciate these <33333
    3
  19104.  @grantgudmann272  😆
    3
  19105. i am a first year in uni so i am a bit older but this wasn't THAT bad tbh
    3
  19106. Why don’t you do a proper review of Euclids elements. It was taught for 2000 years. I plan on teaching myself geometry with it (26 years old - have always been bad at math) but I hear mixed reviews on it. Must be good if it was used for 2000 years. That said, I will be teaching myself proofs using Jay Cummings proof to familiarize myself with proofs before going into Euclid. What do you think? Been binging your channel the last couple months.
    3
  19107. Wow! I didn't know about this. Thank you for telling.
    3
  19108.  @TheMathSorcerer  jokes aside though, that spark of inspiration into math can build into a wildfire of curiosity and knowledge. Love it 👍
    3
  19109. I am taking this class and you are bounds better a teacher than my professor. Thank you so much for this! I will be watching this in the next coming week to be super prepared later on in the semester and get an A.
    3
  19110. My hope is to get a Ph.D. in Materials Engineering (specifically to work on neural probes). I know that mathematics past the undergrad degree doesn't usually pertain to that subject, but I have this ... irrational belief, that there is some mathematics that can shed some light on the issues of biocompatibility and information (chemical, mechanical, and electrical) in and out of the neural probe. Maybe I just want to study more mathematics for me, but I feel like something more can be discovered with mathematical tools
    3
  19111. My copy of "Linear Algebra Done Right" arrived today, and you know I had to give that bad boy a snifferoo or two!
    3
  19112. 多謝！
    3
  19113. Empezare a usar ese consejo, saludos profesor:)
    3
  19114. I love this haha
    3
  19115. How undergraduates is different from graduates?
    3
  19116. First
    3
  19117. [5:03] It's about dogs that ride skateboards ;-)
    3
  19118. much appreciated !
    3
  19119. Great video, I like your book reviews and will be expecting more ;)
    3
  19120. Thank you!
    3
  19121. I tried to buy it but shipping is not available for my country:(
    3
  19122. thank you so much for this video! im currently taking college algebra and i completely forgot how to do this
    3
  19123. What an amazing video of an amazing book!
    3
  19124. Thank you sorcerer guy
    3
  19125. Oh so we really can find everything on this channel :)
    3
  19126. "To finish"??? That's interesting.Show me one person in history who managed that. Great video, but drop the "finish" part.
    3
  19127. yo jeff besof
    3
  19128. Thank you it was helpful 😄
    3
  19129. I think showing these mathematics books like you do is a wonderful thing.
    3
  19130. I am in my 40s. It is never too late to Learn math
    3
  19131. Sorry but I hate math. I am a political science and history majors.
    3
  19132. Thanks bro
    3
  19133. A 15 year old Prodigy makes it look easy.
    3
  19134. Quite the shame he didn’t respond… thankfully i am tho (somethings better than nothing). The Math Sorcerer went to college and switched his degree major like 3 times or sum
    3
  19135. Sir please suggest a good book for number theory
    3
  19136. You have a wonderful channel and I’m so happy YouTube brought me to you. I’m so excited to learn so much from you.
    3
  19137. Dear sorcerer, I am already self learning discrete mathematics and am planning on choosing the next course. But the problem is that I really don't no what to choose out of proof writing,number theory,combinatorics,graph theory,set theory. Can you please tell me what to do next? Thanks in advance
    3
  19138.  @alexyakymovskyy255  indeed
    3
  19139. Thank you very much sir. You are really a great teacher. Lots of love from India🇮🇳
    3
  19140. Integral calculus is bacterial plaque which covers the entire surface of a tooth. Differential calculus is bacterial plaque which covers some parts of the surface of a tooth with a thicker layer of plaque than other parts.
    3
  19141. Math Sorcerer is trying to break Youtube today! 😁
    3
  19142. Please sir make a video on geomtery books 🥰🥰🥰🥰
    3
  19143. Thanks for this roadmap can't wait to order the books
    3
  19144. as a simple cs+math major, i see donald knuth and i click :)
    3
  19145. Thank you for knowledge
    3
  19146. watching your advanced calc playlist and doing homework
    3
  19147. Been a while since I’ve heard “publish or perish” good stuff.
    3
  19148. How long until Maths Sorcerer does real analysis while posing at his local BB comp
    3
  19149. Yooo word problems used to be the ones I struggled with.
    3
  19150. can you please tell me that what applications you use to write and record and so on while making this video as I also make videos for upto class 10 here in India! Thank you.
    3
  19151. When I saw all the books I can't describe what attack i got😱😱
    3
  19152. Can you make a review for higher algebra by hall and knight sir please? Thanks in advance
    3
  19153. Walking is great. It helps learning.
    3
  19154. thanks sir
    3
  19155. Grear video man. Would have loved if you had included some numeric examples, but it's good nonetheless.
    3
  19156. Avoid Student Loans as much as possible.
    3
  19157. which textbook do you recommend for selfstudying at an undergraduate level (for topology)
    3
  19158. You need to signals and systems to be an EE.
    3
  19159. Hello, Isaac Newton.
    3
  19160. Finish??!?🤣
    3
  19161. Dude I love your passion for math! It's so contagious.
    3
  19162. Honestly, is 34 too late to start learning maths - in terms of getting to a high level?
    3
  19163. You said it, on the nail:"it's sociable un acceptably to dislike math". It probably inferred, the root cause. Early education. I seriously think that Euclid should be unpacked in the early classrooms to give students the taste of proofing easy theorems. So as they can see it and enjoy the train of Euclidean logic. It was an ancient foundation for clear thinking and rewarding. Thereby enforcing a positive attitude towards this important subject.
    3
  19164. Thank you, math sorcerer. I am a brazilian economist. Nowadays , economics has a lot of mathematics and my background is horrible. So I use your videos get motivated and to know how I start doing mathematics. (and also to practice my english that isn't very good hahahaha).
    3
  19165. Thank you
    3
  19166.  @stevealdrin1  I have heard about growth mindset before, and it's something I'm keeping in mind. Just trying to change to that mindset in tandem with mental illness means that the roadblock is a little harder for me personally 😅
    3
  19167.  twistedblktrekie  100%. I'm at the sort of realisation point now, so here's hoping this will lead to some sort of new basis for my mathematical learning :)
    3
  19168.  @stevealdrin1  cheers, friend! :)
    3
  19169. I know this isn’t a science and engineering channel but could you please review maths mathematical methods for physics and engineering? Thx
    3
  19170. Thank you! I am self-studying Munkres's Topology atm and this cleared up my doubts!
    3
  19171. You’re a life saver!
    3
  19172. Ohhhh. I though it was also necessary use the equation, my math teacher really confuses me. Thank u for the video!
    3
  19173. I like how you're doing book reviews 👏
    3
  19174.  @TheMathSorcerer  😂😂🙏
    3
  19175. you're like an angel
    3
  19176. +The Math Sorcerer, The example and narration helped a lot! Thanks for the upload!
    3
  19177. See my bread pizza recipe in my comment under video. It is quick and easy. No need for oven. Just grill the bread pizza for 5 or 10 minutes. You lose little weight on baguette pizza.
    3
  19178. Sir i watch maths videos as well as i am a Calculus creater..and loves Calculus and started to spread my knowledge.....so help me in my journey.❤
    3
  19179. What was the point of this video ahah
    3
  19180. I’m not gonna lie; Solving equations that requires previous knowledge of various concepts and multiple steps, feels so satisfying I’m in cal 2 and All of these integral methods are no joke 😂 But there’s also the dark side of getting lost super easy And messing up real easy which can really ruin your evening if hw
    3
  19181. First
    3
  19182. flotsam [flot-suhm], noun: (1) the part of the wreckage of a ship and its cargo found floating on the water. (2) material or refuse floating on water.
    3
  19183. You have no idea how useful this was, i have a math final tomorrow and i had no idea how to do this.
    3
  19184. Hi Math Sorcerer, I remember the days when I would do math for pleasure. Since then I have been asked to take a lot of classes (math and other subjects) that I didn't necessarily enjoy. As I start my PhD I am afraid that I will never find as much pleasure as I did before in the subjects I study (math, physics and biology). Your wisdom has helped me in the past, I hope it can be of help once more :)
    3
  19185. #3 & #4) Study at your school or public library. I started doing that when I was in high school. #5) Take a short walk. I have "Walk" as an out-of-office appointment on my work calendar to compel myself to get some fresh air & sunshine on a regular basis.
    3
  19186. You are wrong, kind sir! I'm watching this video because I like to pretend I am good at math and I understand the strife.
    3
  19187. I am so happy I have this book.
    3
  19188. I started to do something similar about a year ago when I started college. I know I want to get a degree in either engineering, math or physics, but whichever I wanted to pick I felt mathematically unprepared for them. I wish I had this video back then. Hopefully this slips into the recommended section of many young minds who have not been taught such a beautiful area of knowledge properly. Math is definitely not for everyone, but I can assure that if it was taught properly these student loath against it would either vanish or be considerably reduced. Thanks for this amazing guide.
    3
  19189. I think I'm going to buy this after Thomas calculus. Oh, and can you do something like a self study asmr? I always to see more self study content, so that would be really cool to see.
    3
  19190. Thank you. My professor could have made it so much simpler to understand!
    3
  19191. can anyone tell me that what is meant by first power??
    3
  19192. Great video as usual Math Sorcerer!
    3
  19193. This was just the video I needed to stop trying to understand log star.
    3
  19194. bro u look kinda creepy
    3
  19195. I wish in Spain it was like that, I mean, at least in Physics we have what we called "Mathematical Analysis 1"(which is Calculus 1 and 2 together) and "Mathematical Analysis 2" (which is Calculus 3). Yes, the shell , disks methods and so on...I found it the hardest. Sometimes i thought "Well, maybe it is that i am very bad at visual things." But I see I am not the only one.
    3
  19196. Eres un crack , Bro.
    3
  19197. I have to read sentences few times to even understand it but I still do it if it matters a lot to me
    3
  19198. This is isaac newton wtf 🦕🦕🦕
    3
  19199. Nyyc
    3
  19200. Fix it brotherrr
    3
  19201. Reading books and writing out information is by far in opinion the best way to obtain and more importantly retain the information, that and repetition, constantly solving problem sets.
    3
  19202. Getting me through my test tomorrow :D
    3
  19203. By the in my country its 1:30 am I was studying complex analysis from your channel❤❤❤❤❤
    3
  19204. The Book of Proof is a good one.
    3
  19205. If you dont mind me asking what University did you go to ?
    3
  19206. I ordered How To Read And Do Math Proofs The summary says it readers don't need more than a high school education to do the exercises in the book. It hasn't come yet, so I don't know how great the book is.
    3
  19207. What is grad school equivalent to in the uk? Does anyone know? I am from england so dont know much about the american education system but can you plz tell me if these can be good to bridge the gap between a levels and uni. Thanks
    3
  19208. And here he comes as a saviour!!!
    3
  19209. just finished calc 1 with an A. Last math class I am ever gonna take, thought it would be fun to watch this and see if i could understand anything. I understood the chain rule, so i got something lmfao.
    3
  19210. thx jeff B!
    3
  19211. My class is using A First Course in Abstract Algebra by John B. Fraleigh (7e). Every time I read this book, I imagine someone dropping the manuscript on the floor and then leaving every other page behind. It's like Cliff Notes, except you have no idea what the author is referencing. Ordered a mask, btw.
    3
  19212. I never thought that I would be learning and watching calculus, algebra, physics and books on a computer in the palm of my hand. 😊
    3
  19213. Books and videos are compliment each others. I prefer the two types of learning resources. Problem-solving is a must-have method. But only do excise when you feel you already get the main idea for a topic and test your understanding by problem-solving.
    3
  19214. well so far I've been able to grasp everything that didnt involve trig. I think that I will just take a leap of faith and try to learn some trig since I really want a good understanding on calculus
    3
  19215. You look like a mathematician + rockstar
    3
  19216. I love bookshelf tours.
    3
  19217. Black pen red pen does this he calls it the D I method
    3
  19218. The Math Sorcerer do you know who black pen red pen is?
    3
  19219. Awesome life ✌🏻
    3
  19220. Here's one that I have that is pretty cool: "Nomography" by A.S. Levens. It's the math of nomograms, of course. 😁
    3
  19221. He looks weird
    3
  19222. Earth is round Mars is flat though
    3
  19223. You should promote your udemy courses more often (maybe not every short, nut at least occasionally). I just purchased all three of them because I'm studying math in part-time, passed fundamentals (algebra 1 and calc 1) last semester but had to postpone calc 2 because I still struggle with integration too much. Since my university alternates between algebra 2 and calc 2 every semester and I can't take calc next summer, there will be two years between calc 1 and calc 2 for me. Now I have something to catch up with (and probably to get back into) calc in preparation.
    3
  19224. I feel so relieved when I watch your videos bc this how I do feel when I self-study maths esp graduate maths. The motivation really starts fading.
    3
  19225. amazing video, you should do it for derivative, integral and series too it's really helpful
    3
  19226. Buen vídeo me sirvió mucho!
    3
  19227. Thank you. Awesome explanation :)
    3
  19228. the set theory problems in volume 1 are too hard..i couldn't get them after trying for ages. there is no proof that -(-x)=x in chapter 4 on integers/rationals, nor is it given as an excercise. Wondering why this was? It would have made things easier imo. Otherwise, i really liked the book, managed to do most of the problems and it took about 500 pages of scrap work to get through them all haha. The well defined and trichotomy proofs were pretty tiresome. I like how the proofs of important theorems are often left partly as an excercise, proving the existence of least upper bound was one of my favourite problems in the book, and it was split up into an entire section of problems at the end of the chapter.
    3
  19229. Extending through time your idea of achieving happiness by regularly reading mathematics suggests starting at the bottom point of a screw, then beginning to walk up the thread. The diameter of the screw widens as one ascends the shank from the root diameter to the major diameter, where the gauge is measured. The many ever-longer trips around the screw suggest revisiting views of similar subject-matter again and again at higher locations within the subject, and thus gaining greater mastery. When one reaches the head of the screw there is opportunity for an awareness, and perhaps a ceremony, to, in effect, mount the head of the screw to see the view from the top, and to enjoy that Aristotelian level of ultimate happiness, eudiamonia.
    3
  19230. The book by Buck was our Advanced Calculus course, which was a second-year course. Our first-year Calculus books were by Tom Apostol. And then, we read Metric Spaces by Copson and The Elements of Integration and Lebesgue Measure by Bartle for our third-year Real Analysis courses. Finally, we read Introductory Functional Analysis with Applications by Kreyszig for our Functional Analysis course in our fourth, our senior year. These books were those for our analysis books. Algebra, Differential Geometry, Partial Differential Equations, Fourier Analysis, Algebraic Number Theory, etc. are all different issues...
    3
  19231. I love how straight to the point you are, really helpful
    3
  19232. This is perfect entertainment for social distancing!
    3
  19233. I think you need to lower the exposure sir
    3
  19234. I think is your last two years that matter. I bombed my first and second year math courses so badly. I had to take second year advanced calculus five times because we had calculus on manifolds, failed that course four times in total and our linear algebra course was abstract linear algebra right out of high school.
    3
  19235.  @TheMathSorcerer  i recently read Oscar Zariski's biography. Apparently, he when he was writing his book on Algebraic Surfaces, he said he even forgot what the proper definition of what a ring is. He had to relearned and reviewed the basics by going through Van der Warden's two volume Modern Algebra text. I was so upset after i learned of that. I highly doubt any students or even any of the faculties are going to be like Zariski. He had experience applying what he learned as he was learning them. We as new students don't, especially if it is the entire course and most of it is all proofs. The type of questions only focus on whether we understood the theorems. I have no idea why the rush in cramping so much theory at such an early time while most students at second year don't have experiences in applying the materials to other courses. Why do i say this? Vector calculus boiled down to the professor telling the class how things are doing after learning the proof of generalized stokes theorem. The way we did it was we had to learn tensor products, tangent spaces, tangent budles, geometry of forms, chains, complexes, line integrals, homotopy, integrations on manifolds and forms, etc etc. After much machinery build up, we proved that theorem. One year's final exam had a question about exact sequences having to do with de Rham complexes as in relation to the beginning of de Rhan cohomology. If there are computational questions on tests or exams, many students struggle with them. Let's be honest getting good with computation in vector calculus/analysis is not something you can do in an evening. That is why there is a separate course in it. Also, in physics, guess what, they you are expected to be proficient in vector analysis. The math students who had taken this calculus on manifolds course has this snotty attitude that when they learn tensor products of fields, their way of doing tensors are correct while holding their nose up at the way physics students does tensor analysis or anything that is not coordinate free approach in differential geometry. They have this attitude that theory is the be all and end all. Guess what, give the Joseph Edward's Theory of Integral Calculus and see how well they do with volume two of that text. Another example is when we had our first abstract algebra course using Dummitt and Foote, the prof assigned homework exercises that had to do with computations of specific type of groups. The prof had to tell the students that working with concrete examples is a different way of understanding.
    3
  19236. 0/0 is defined in wheel theory: https://en.m.wikipedia.org/wiki/Wheel_theory
    3
  19237. Hey man, do you have any videos on solving the algebraic riccati equation?
    3
  19238. wow that chain of associativity and commutativity is nice, demonstrates that these properties are not trivial
    3
  19239. I first went to college right out of HS and then when my mom got very ill I gave up my studies to take care of her until the end and then I went back to college at age 35 and I worked a full-time job and then I did student observations and teaching on top of that (I studied education) and yes it took a lot of work but I graduated with highest honors and yes, it can be done! I'm now 44 and I'm working from home as a book editor and publicist and now I'm on a journey of self-study and yes, it still takes a lot to put in the effort but it's so worth it in the long run! I'm excited to learn math and your channel is really inspiring me to keep going! I'm a huge book lover, so gaining a collection of math books won't be so bad! ;)
    3
  19240. Should've filmed the video with that bald wig.
    3
  19241. That was powerful, thank you.
    3
  19242. Is Advanced Calculus the same as Real Analysis?
    3
  19243. I have an final tomorow now I'm ready, thanks for the inspirational lines.
    3
  19244. 😂😂😂
    3
  19245. Indiana University yes!
    3
  19246. Great help. Thank you!!
    3
  19247. Great advice. Your videos are very helpful. Thank you!
    3
  19248. the bible ;-)
    3
  19249. Sir @03 :00 why you took 1 and 3 as close to 2 why not 1.9 and 2.I or something similar like that.
    3
  19250. Interesting topic!!!!!!!!
    3
  19251. My biggest regret is not actually taking and pursing math under this uber genius math prof, that was like randomly placed in our community college. Dude used his own proofs for theory on the course material providing a graduate level experience for brilliant and accelerated minds at math. I just have a fascination with math, so I saw I was def not going to pass, dropped, but he allowed me to sit-in he literally couldn't give two lip-shitz equations about me being there. So I just allowed it to soak. I have a feeling that after the current health sit he wont be there to old or retired. But I'd love to try his courses maybe not even "taking them for credit" but just as a side enthusiasm project or something. I can't find any of his resources online at my old college either which has me so confused. I used to be able to list by faculty and find their own websites, with their own resources, previous tests, quizzes, notes, etc. All that's gone in an age of Online Teaching. Yikes!
    3
  19252. Hi, How do you compare this book to to What Is Mathematics?: An Elementary Approach to Ideas and Methods by Richard Courant ?
    3
  19253. Yes, you are completely correct. I know most people won't believe me, but I'm doing calculus in grade 8. That is great, but the amount of time I have to put in directly effects may performance in other subject's for example: I got 37% in EMS which is the lowest mark I've ever gotten for a subject. To the person reading this comment, I hope you have an amazing day!
    3
  19254. Years after leaving high school, I started relearning mathematics a year or two ago. One guy in Facebook group first got me interested in Venn diagram, then logic gates like AND, OR, NOR, etc. Thereafter, I decided to relearn maths. Back then, I had forgotten them by 75%. I had to start learning all over again. Some of my old memories returned, thankfully.
    3
  19255. With each mentioned reason, I wondered more, where the Math Sorcerer might have learned to read my mind!
    3
  19256. ❤❤👏🏻👏🏻👏🏻✨👍🏻
    3
  19257. “FORTRAN!”
    3
  19258. You make a lot of good, useful, personal content and we all appreciate it.
    3
  19259. the only answer is study, thanks for your informative video.
    3
  19260. min 2:00 my teachers did the same :(
    3
  19261. Adding onto point 1-2, when you have to take an upper or lower math class and then have to take other attention intensive classes like physics or chemistry, that really wears you down. I had to withdraw from my math class to make time for my other STEM classes, it was not a fun time...
    3
  19262. Intelligence is the nail; discipline is the hammer
    3
  19263. normal math channels: how to this an thaj whatnot blah blah. me: eh this man: become a math wizard me: SIR YES SIR OOOOOORAAAAAAH
    3
  19264. I haven't taken that class. I am an Applied Math major.
    3
  19265. also finding a reason to apply the math in a domain that you are interested in is incredibly helpful to motivate
    3
  19266. 0:15 My teacher actually did say this very thing when I was in AP Precalculus because the book was almost entirely useless and the only thing we'd likely get from it would be 'back problems' He gave us pdf chapters out of books he did like though.
    3
  19267. At my UK university, one of my lecturers had taught in the US. She told us that the average US student was pretty dumb. I said that the US students doing a year in the UK seemed very smart ( also true for the Russian and Chinese students). She replied that was because only the top ones get to do a year overseas. I hope the ones we send over there are equally good.
    3
  19268. I'm in 9th grade I agree with you it takes time but getting caught up in so much work takes away the learning process in other words time I'm constantly hanging on threads with my math grades and I wanna understand but I don't have the time. I'm crying :')
    3
  19269. Got ‘em all and more.
    3
  19270. 1. Think very hard 2. Write down solution
    3
  19271. Great advice
    3
  19272. HI i liked the video so much that in order to thank you i took the time to fully translated it into spanish(i think you have to see them before they are available)!I hope it helps anyone
    3
  19273. Keep it up
    3
  19274. In my 10th standard...i was like mad for maths, and it was great enjoyment for me...but as i moved forward, same was in 11th standard but in 12th I'm aware i can't put time in it out of limit
    3
  19275. GUY'S LET KEEP PUSHING FOR A MATH SORCERER PODCAST ? what do ya'll think ?
    3
  19276. 3:35 AHAHAHAHAHAHAHA 😂
    3
  19277. Great video another great video. Thanks again ! You are the best man !
    3
  19278. This guy is a great teacher. Even though I went through a lot of this stuff 30 years ago, I still apppreciate how he takes the time to show every step. A lot of us think we are a lot more clever than we really are so showing every step can help avoid some of those "gotchas".
    3
  19279. Yeah, I do agree. From my experience, real analysis was a very challenging class. Although, I did farely well in it, the difficulty was nothing to make light of at all. Also for me, abstract algebra was difficult and complex analysis but they seemed very interesting. They were, more enjoyable in a way but still tough. Just from my experience. Real analysis humbled me as a math major 😅
    3
  19280. So if you go for a PhD and decide you want to be done after those first two years or so, you can essentially get your masters without having to pay for it?
    3
  19281.  @TheMathSorcerer  In Europe, or in UK specifically, there are steps along the PhD way. You can get out half way through with a MPhil. There is also the degrees called Master's by dissertation or Master's by Research, cheaper, with less taught modules but a lot more going on in the Master's thesis.
    3
  19282. I completely agree with you here Sorcerer. Algebra teaches us to think in terms of polynomial functions. Mapping numbers to angles & vice versa takes an entirely different mindset. Then intro calc baby's students back to the concept of power law relations with... polynomials. Trig functions become another chore of memorization with derivative and integral. As far as memory is concerned, symmetries and discernable patterns play a major role, the human mind remembers things that are attractive to it.
    3
  19283. Counterexample: it's an infinite product of nonempty sets and you don't take the axiom of choice :)
    3
  19284.  @wizard7314  It is technically correct. Take an infinite collection of sets, say S1, S2, S3, ... where you don't have a choice function. Form the infinite Cartesian product S1×S2×S3×... This set must be empty: if s is an element of this set then s is a tuple <s1, s2, s3, ...> and we have the choice function f(n) = s_n. Contradiction!
    3
  19285. I don’t know bro, I personally enjoy taking math tests. I literally got excited when I walked into the GRE math etc:)
    3
  19286. You sound like Choco Taco! "Hold on, I'm going to do a thing."
    3
  19287. You are the Jordan Peterson of mathematic 👍👍👍
    3
  19288. This book is really amazing
    3
  19289. I learn this in high school lol
    3
  19290. Dam boy! he thicc boy!
    3
  19291. This is my favorite channel hands down 😁
    3
  19292. Do you think it makes much of a difference whether you learn linear algebra prior to Calc 3 or vice versa? If so, which do you think should be taken first?
    3
  19293. Three topics I've liked in a row, take my subscribe.
    3
  19294. I am sorry to ask in this video, Do you know any website or manual to solutions of undergraduate algebra by Serge Lang? Thank you
    3
  19295. Ok, so what you are tying to tell me is I need to drink Sri Lankan tea to learn math... got it sir, thank you!
    3
  19296. Sussy Baka
    3
  19297. Kinda depends on the teacher. You'd certainly see something like this in your first Proof Writing class, but the proof would be a little more "wordy" and formal. I feel like problems that say "show" or "verify" instead of "prove" are to ease students into thinking logically about the steps in a proof without getting too caught up in formality, and just focus on showing your work. So you might possibly see this in "Linear Algebra," but most likely, teachers would put it off until "Proof Writing" where you would still do everything the same as he did here but maybe write down a few of the explanations he said out loud during the video. It usually goes: Calc 1, 2, 3, Linear Algebra, Differential Equations, Proof Writing, (and after that, Math kinda branches out)
    3
  19298. This video came at a perfect time in my life. I was always a moderate athlete in middle school, but in high school and freshmen year of college, i abandoned those habits; i subsequently experienced the consequences of neglecting such an important habit (ADHD got worse, some depression, anxiety etc) Sophomore year of college now, and i’ve rediscovered the habits of intense lifting and going for walks (also eating mindfully). My mental health is invincible now. I’m realizing how crucial fitness is for cognition. The NUMBER ONE thing we can do for our cognitive health (especially as we age), is keep using our muscles. It’s safe to say that if something is good for our muscles, it’s probably good for our brain too, as both need healthy neurons to work optimally.
    3
  19299. Thanks sir
    3
  19300. What a 🔥beast
    3
  19301. All the books in the world are nothing against self-inquiry and self-understanding.
    3
  19302. Pure gold tbh. It was so damn bad, its got me giggling so much.
    3
  19303. Feynmann technique. Teach yourself and others to gain command over any topic or subject
    3
  19304. my teacher writes at the speed of light
    3
  19305. 😃👍
    3
  19306. Would this be a good textbook to learn about proofs?
    3
  19307. I subscribed to you. I watched your video on youtube ad, as I am already learning Maths. Great job
    3
  19308. Thank you thank you! I have watched about 5 different videos of this kind of problem. I just did not understand. I do now!!!! Yay! Now, let me go do my homework. I am going to subscribe. . .
    3
  19309. Giving myself a whole six years to study maths ,and c where it takes me,54 so maybe get to degree standard when 60? Although definitely not a natural
    3
  19310. Thanks a lot, you give me a lot of inspiration and motivation.
    3
  19311. Richard Courant books are also good.
    3
  19312. Thanks man!
    3
  19313. Very interesting topic. I once overheard an engineering faculty adviser speaking to one of his graduate engineering students about the student's prospects for getting his PhD degree in engineering. He said that in mathematics, once you've met the course and exam requirements and they feel confident in you, a faculty member will work with you so that you will get a PhD. But in engineering, it is up to you to come up with a reality compelling and brilliant proposal and only then will a faculty member work with you to get your PhD. He also said that you must come up with this proposal in a timely manner and can't stick around graduate school for too long before you've thought up you idea. This sounded much more difficult than the rather more systematic way that graduate math students obtain their PhD.
    3
  19314. Now my brain is calm
    3
  19315. Such a nice anecdote! Solving challenging math problems can certainly be counted as a hobby for some.
    3
  19316. we in Iran pass courses with exactly these books! I love all of them. thank you for your review
    3
  19317. Found it ! This is MATH PORN !!! LOL !!! Subscribed ! I had a hunch that you might have a video covering the famous George B. Thomas Calculus textbook. When I used it in high school in the 1970's, only Thomas was the listed author. I LOVED THAT BOOK ! My understanding is that Ross L. Finney collaborated with Thomas on other editions. After Finney's death, the book became simply THOMAS' CALCULUS. Cheers. By the way, in your other (more hard core) MATH PORN video covering the earlier and also famous Louis Leithold Calculus textbook ("The Calculus Book That Changed The World"), you mentioned that you never took a college chemistry course. That amazes me. Surely, you have taken physics courses. I think I saw some physics books in the background in your other video. Newton....developed calculus for physics. I think Leibniz who was also a philosopher was motivated by pure mathematics (??). Do you happen to know off hand ? I like your channel.
    3
  19318. I got a Zero yesterday because they needed me to uploaded answers online in 5 mins 🥺
    3
  19319. I dont know how thins go in the US, but another "big" risk of cheating: People can catch you many years later. Think about that: you are making a career, you probably are a public figure or somehow polarize on your field and people who dont like you start digging in your past. Here, this is a popular thing with politicians for example. there are people who do nothing else but checking academic works of politicians they dont like. And they are good in what they do! If they find something, they make a website and tell it to the media! Thats a big load you have to carry around with you and a big decrease of quality in life...imagine the fear when you know your work you did 20 years ago is bad or fraud and everything that needs to happen in order to fuck your life is that some guy reads it with a modern software!
    3
  19320. I got this book from my dad which he studied. It is really good and covers all main topics and problems types . Really interesting book. Thanks for reviewing this :)
    3
  19321. Really fascinating, please how can I purchase one
    3
  19322. I'm about to prove Pi = LUNCH.
    3
  19323. Nice definition "math is not a spectator sport" !! I would say more in general: science is not for spectators if you seriously want to do science
    3
  19324. Your videos are trulling inspiring for me. I've entered college last year, with an age of 26 years old. And, being at a public university, I'm struggling a lot with math classes. But I do love math, it is beautiful and I hope someday I can be very goot at it. Thank you for the advices!
    3
  19325. Thank you
    3
  19326. Yes please, I'd love to hear the stories from the time you were in university professor, those big matrices are not going to invert themselves 🙃 Like that actually happened... Had to learn them solo 😖
    3
  19327. Math sorcerer tomorrow is my birthday, send me congratulations xd hehe, best regards! I admire you man, thanks to try to motivate persons :)
    3
  19328. Thanks
    3
  19329. That book definitely looks like a bible.
    3
  19330. The Math Sorcerer Thank you! Your videos have been great help so far when I was doing my bachelors.
    3
  19331. Induction is really tough topic
    3
  19332. Please review “A survey of modern algebra” birkhoff and mac lane.
    3
  19333. Maaaan, thank you 😊
    3
  19334. Great, I have this book. Btw Sir, what do you think is the best book on Intro to Stochastic Processes? Thx beforehand.
    3
  19335. Great review! :_math:
    3
  19336. I will never quit.
    3
  19337. Very interesting book!! I’ll be arriving at infinite series soon in my self study of math.
    3
  19338. thank you sir for sharing about this book
    3
  19339. Thank you for this.. Sir i can do this.. This is very easy...
    3
  19340. Yo quiero que sea mi profesor de universidad. Saludos desde Mexico!
    3
  19341. Learning mathematics for me is like being able to go closer to unveiling the whole truth of the world, just the sense of unraveling is satisfying enough to make me feel happy as a human being.
    3
  19342. I learned C in 1977 at Penn State. Using punchcards. Try debugging punchcards. Marvel at all the ever present bins of bad punch cards lining one side of the entire corridor waiting for recycling. Then gaze upon all the bins on the other side for printout paper. (:
    3
  19343. From Morocco 🇲🇦😍
    3
  19344. I love this video style !!! Thank you ☺ 🩵🩵
    3
  19345. e^pi equals -1
    3
  19346. I very much like your attitude to learning mathematics. Cartan's book Elementary Theory of Analytic Functions of one or several complex variables Is available in Dover Editions. I will say it's probably not the most accessible intro to the subject. I was quite happy with Erwin Kreisig's chapter on the subject. Henri Cartan wrote another classic called Cours de Calcul Différentiel in French. It starts off by assuming that all differentiation will be done in the context of Banach spaces, so it's not your average basic intro. It has been translated into English for Dover (again) but in two parts. There is a typo on the very first page of the French book and this got translated without correction into English, which means I don't have a high opinion of the translators. The error concerns the norm of the product of an element by a scalar. It should read something like || A V||=|A| ||V|| Where A is the scalar. One of the problems with Cartan's books is that he often just hints at the proof and the reader needs to fill in the details with pencil and paper.
    3
  19347. Old way of communicating higher math was very different. You can witness transition in books by Widder to Apostol to Lang to Marsden to present day Stewart or Callahan, etc.
    3
  19348. Currently, I'm studying Computer Science (5-year degree, bachelor + master) and 3-year math degree bachelor. But I think I would like to go back to college after I'm done with these, either to get a Ph.D. in mathematics or pursue something with physics. In Sweden, it's free to study (you even get an allowance). I'll either study physics at half time while working or apply for a ph.d
    3
  19349. A great video. I will watch your directs when I will compare my abstract algebra proofs with your proofs. Maybe other thing let to publicate own proofs in mathematics facebook's groups and to solicitare review from the members
    3
  19350. Great video. Why is the intro graphic so lowres tho?
    3
  19351. 👏
    3
  19352. The bird is also making a really good point, I also think birds will overthrow the humans one day. All jokes aside thank you for the video, this whole thing has helped me with how I study because I do it in a way the content stays stuck in my mind after study sessions. I'm currently going to retake calculus, but now I feel much better about it. Your videos helped me a lot, made a 180 about my attitude toward math. I just had to say thank you at least once.
    3
  19353. eBay and its cheap. I paid about 5 dollars for Algebra & Trigonometry by Michael Sullivan. Got it from a Goodwill seller on eBay. They have a lot of 4 math books I'm considering ordering. An high school textbook on Algebra 2, an abstract algebra book, a book on algebra techniques, and Intermediate algebra. There's another lot of 2 books I want. 1 is calculus and another is linear algebra. Anyway, that's my favorite place to get any kind of books.
    3
  19354. 3:00 relatable😅😅
    3
  19355. I'm teaching myself math because of having less resources in my school now I'm using various textbooks in pdf formats but my problem is I'm giving up and how should I not give up ?
    3
  19356. The man who knew infinity is a great film.
    3
  19357. How fitting that this uploads when I have an exam on sequences and series tomorrow!
    3
  19358. Your channel is such an amazing source of info for mathematics, it's not even funny bro. Thank you for sharing!
    3
  19359. Wow your english is really good, I thought you were a native speaker
    3
  19360.  @TheMathSorcerer  I am really interested at mathematics and my favorite is calculas and I am studying class 12 in India
    3
  19361. Thank u so much Sir
    3
  19362. Nice move to get rid of from square root
    3
  19363. Oh wow! The dragon book of compiler design and this is a book I have my bookshelf. I remember it being a very complicated read but the ideas in there I've used throughout my career. Though I'm super-excited as I've just managed to get delivery of a very very rare book. Namely "Primeval Atom" by Canon Georges Lemaitre where the father of the Big Bang theory presents his "Hypothesis of the Primeval Atom"... which is now known as The Big Bang Theory. As the progenitor of the Big Bang Kilonova Hypothesis I'm about to resurrect Lemaitre's idea of the Primeval Atom, as the binary merger of two neutron stars is effectively the merger of two primeval atoms. 😁😁😁😁
    3
  19364. I'm very into self study. It's loads of fun and I have a rigor that I never had at uni. Take your time and focus on learning the material deeply. Don't be in a rush to get to the next thing. Study the derivation, take notes, definitely do the problem sets. If applicable, learn to program the topics you're learning. I really enjoy numerical methods and differential equations so I look for opportunities to employ these techniques. For example, coding a simple n-body system in Python is a great way to use these skills. Write your own integrators using Simpsons rule or runge-kutta. Whatever it is that interests you, pursue it with excellence, then take the time to reflect now and again and enjoy how far you've come. Oh, and go easy on yourself. Nearly everything worth pursuing is hard and there will be times when you're frustrated. Make persistence your super power and you'll push through the times when you're struggling with a concept or subject. Finally, try to find a few different perspectives on a topic. Sometimes one author presents the info in a way that just clicks with you.
    3
  19365. The amount of logic in this comment section makes me so unexplainedly happy
    3
  19366. Sometimes maths makes sense only after having extensive knowledge.
    3
  19367. That partial product demo was super-cool !!!!!!
    3
  19368. Nice vid again
    3
  19369. Iam not math major, I specialized in Accounting but I usually learn math by myself, in 2020 I taught myself abstract algebra, real analysis, DE and i just find out that Iam not suck at math as I thought before, math is fun. Studying math make me kind of more productivity haha . It's not about getting excellent grade, gpa etc. It's about challenging myself, overcoming my weakness ( when I was in highschool, I considered math is suckkkkk ) and getting out of my comfort zone. Recently math is a part of my rountine ~. Self - study is the best method to study not only math but also other subjects for me.
    3
  19370. Thanks man, this kind of videos always help!
    3
  19371. A math book like that on a rainy night just listening to the radio on low while the rain buffets the window lightly. What more do you need asides a nice glass of bourbon while you do problems.
    3
  19372. Great work! Love proofs
    3
  19373. This is sound life advice too, thank you!
    3
  19374. Calc 3 is defo the hardest one. A lot of chain rules for derivatives, different types of integration. And add the geometric component.
    3
  19375. Rafael Braga Gomes yeah, there were few things I was unhappy with after looking back at the video, so for next time I’ll be better prepared for sure.
    3
  19376. Superb explaination sir.
    3
  19377. This book is superb.
    3
  19378. Love this book, it wasn't our official coursebook in Discrete mathematics but I used it as a supplement. Helped me understand groups better
    3
  19379. It is very confusing for beginners because all resources promoted by the algo are generally promoted for being unusual, exotic or otherwise very advanced. My advice is to stick to the "boring" large compound movements: Push-up, Pull-up, Squat. You can scale and progress all of those by adding weight. I do push-ups with a weighted vest, although less scalable than bench-pressing, it is obviously a lot safer. A famous fitness personality on yt, Greg Doucette has this tagline: "Harder than last time" and I think it's a good simplification of progressiveness, sometimes its about progressive overload, sometimes about being progressively more consistent. Don't sweat it too much, just get slightly better every time.
    3
  19380. Thank you for showing us the way to being excellent mathematicians. 😊
    3
  19381. How can you have any pudding, If you don't eat your meat? -- Pink Floyd
    3
  19382. Hi, I´m a physics degree student in Mexico, and thanks to you I´m going to pass my complex analysis course, amazing videos mate, thank you for your service!
    3
  19383. I love the shortness of this video and it was to the point. GREAT!
    3
  19384. I have come across so many of these! Very interesting
    3
  19385. My secret is NOT be afraid of math first of ALL.
    3
  19386. Is this a fact that when you read in some class u don't understand it well (unless u r a prodigy or an enthusiast) like when I was in 11,12 I could not understand the geometric significance of indefinite integral and fundamental theorem of (definite) calculus. 🙏
    3
  19387.  @TheMathSorcerer  :xD)
    3
  19388.  @TheMathSorcerer  de nada un saludo y excelente explicación!!! mejor que la de mi profesor
    3
  19389. Yes u right sir
    3
  19390. Hi Sir, quick question: what do you think of this linear algebra book that I will have to use next semester for my linear algebra class? “Linear Algebra: A Modern Introduction” Textbook by David Poole. I was thinking of getting the book by Howard Anton as a supplement, which you recommended. Thanks!
    3
  19391. You have to be crazy for your study...
    3
  19392. I needed this thank you for the video
    3
  19393. Loving the advice from your channel so I decided to grab the book. Merry Christmas!
    3
  19394. Just found your Chanel and you help me make something I have never been able to. Respect!
    3
  19395. Could you please show how to test the convergence of this series at X=-k^k and k^k?
    3
  19396. First ❤️
    3
  19397. Yesterday I bought the elementary differential equations by Martin and Reissner (1956), and it seems very similar to yours at least regarding content.
    3
  19398. Friends and me are thinking about becomming an engineer. This comes at just the right time! Thank you
    3
  19399. I had a Calc TA who spoke NO English. You had to walk up to the front with the book and point out the problem, then he'd work it on the board. He was nice enough. The only thing I think he ever said was his last name--Kabasian. I felt sorry for him. He looked scared all the time.
    3
  19400. But MathSorcerer… you ARE my mentor
    3
  19401. thank you!
    3
  19402. Thanks!
    3
  19403. Thanks
    3
  19404. Me encanta tu canal sigue adelanté!!!! 💥🤘
    3
  19405. I love you man!
    3
  19406. This is the emotional support I need now that I just applied to go back into grad school :,)
    3
  19407. im a simple man so dont judge but: this statue looks super cool how can i get one xd
    3
  19408. Dummit! This book is too easy! To my Foote with it! kicks textbook
    3
  19409. 2022 y lograste ayudarme gracias
    3
  19410. Gotta love that “Calculus7”
    3
  19411. hello, these are my recommendations for maths for dummies who have to teach themselves: -A Course in Mathematical Analysis Volume I, Introduction to Analysis by Joseph A. Haaser, Norman B. / La Salle, Joseph P. / Sullivan is an old book but has something the news ones doesn't have an ALPHABET OF SYMBOLS TO KNOW HOW TO READ this shit....explainings like a child but effective like a mathematician .... -Elements of the differential and integral calculus by Granville , smith , longley its too old then you need request to print in amazon, don't buy the kindle version is like Stewart shit, never understand any word from that book #sorrynotsorry fuck you stewie .... -essential algebra without effort by Manuel Sanchez Sordo, step by step 1000 exercises.... like wolfram for boomers, the sad part .... is only available in Spanish ......sorry shaw series work like that but this book takes you to step by step, LIKE the levels in videogames from beginners to little complex algebra, not by subject or properties.... from scratch to master, not by subject... the problem is the translation,but c'mon this is America anything is possible....for the right price, so hire some freelancer bounty translator... i recommend these like an autistic Asperger (not all aspies are beautiful mind fuckers) person who never understood completely a single class in high school....the teachers speak like Arabic to me... even when they answering my questions never really understood shit ...i have several problems to understand ambiguous shit like functions without interesting applications for my self subjects... so basically never understood all questions in an exam....I always felt like a dump outcast in this education system... but these books make me understand like a puzzle for kindergarten..... sorry almost forget that the statistic part was brilliant short but gold thank you great video..... fuck schools and rise MATHS
    3
  19412. Sir 1 video on IMO international mathematical Olympiad
    3
  19413. ah yes, the google website
    3
  19414. Thank you so much for this video ❤
    3
  19415. I have to laugh at the sniff test you give your books. Jared Polin, who does camera gear reviews, sometimes will give a lens a sniff test.
    3
  19416. Ik I need a break because I am about to take my calc 1 final with only 4 weeks into the course.
    3
  19417. !Excellent!. Both.. speak Spanish. As you perform a Spanish new Chanel. Please make interview in Spanish. I glad to watch here.
    3
  19418. Here is a link for you to see Polya in action before a class of students: https://www.youtube.com/watch?v=h0gbw-Ur_do&t=76s
    3
  19419. Thank you so much for this video and your other recent motivational video. I'm actually an astronomy/physics student - and have a major exam next week in quantum mechanics. You have no idea how your videos are helping me get through the preparation and beyond! :)
    3
  19420. I found your channel through recommended video 5 minutes ago
    3
  19421. In Soviet Russia, laws of physics follow you!
    3
  19422. I study books & Practice, when self studying 💯
    3
  19423. Your life won't be nearly as neatly predefined as you think. I thought I would be finishing my degree that offered many excellent opportunities, but I ended up hating a good chunk of it, of course not the mathematics. I quickly ended up making good money in other ways and just read what I wanted in my free time which was pretty much all the time. Try things don't just blindly go through extensive and expensive programs.
    3
  19424. I understand better in online classes than the real ones. It's really good times for me : D
    3
  19425. We need Paul Erdos for this or someone with an Erdlsh / Erdosh #, forgive me n wow as im writing this Paul Erfos was named aka the traveling suitcase !!!!!!!?
    3
  19426. Keep these short ones coming ❤
    3
  19427. Are you familiar with Fredric H Miller's 'Calculus'? It's beautiful. I have a mint- condition, cellophaned, 2nd edition.
    3
  19428. blink bro, it's free lmao
    3
  19429. Did your University not have any mentors?
    3
  19430. This is very nice of you to address this, thanks Sir. Now, do you have a cure for someone who is happy but total suck at math, despite liking math (yes, it is me :-)
    3
  19431. This video helped me so much !!! Thank you
    3
  19432. I read this as my bed time story.
    3
  19433. Hello Thank you so much for such good information ...... Just because of you i have buys all of the books to again start from the basics to advance...
    3
  19434. 1:36 spoiler alert 😁
    3
  19435. This was helpful, thanks!
    3
  19436. Congraduations but now for some arithmetic with 2.1 billion Youtube viewers that's 0.023% you got - we are a rare breed. Keep up the good work. BTW did you see the latest on internet sories - putting old used books in plastic bags to freeze them and "decontaminate" them - I like to see if that changes t great smell - maybe better?
    3
  19437. I always wonder who makes up all the problems, exercises , questions at each chapter of textbook ? Or where do the authors got all these problems in their textbooks. If you know , please let me know much appreciate!
    3
  19438.  @TheMathSorcerer  That would be incredible, making questions must be more difficult than answering all these questions, provided the questions are answerable. Thanks.
    3
  19439. Math sorcerer please add time stamp to this video.
    3
  19440. Why is 1/(n+1) <= 1/n ? When could they be equal?
    3
  19441. Hello MathSorcer, could you please suggest some website in North America to buy used books other than Amazon?
    3
  19442. Very true. Maybe this is the reason why I had 80% scores in last semester from linear algebra II and discrete maths II. 😅
    3
  19443. Yay!
    3
  19444. Turn your computer off. Covid be like: I am going to test that resolve for you. But yeah, I think that once you're done watching lectures.. one should just hit the books.
    3
  19445. Where can you get books like these?
    3
  19446. ♡
    3
  19447. ❤❤❤
    3
  19448. Please answer what happens if I get the 5th edition for the first course in calculus is it the same thing or just an advanced version of it
    3
  19449. is it on pdf?
    3
  19450. thanks ,,,helpfull
    3
  19451. The best math and philosophy channel.
    3
  19452. ♥️
    3
  19453. Good video
    3
  19454. sorcery indeed
    3
  19455. Are you Jeff bezos with a wig?
    3
  19456. Your not lying about it,math is beautiful yes.
    3
  19457. good job ❤❤❤❤
    3
  19458. Hello, could recommend skanavi exercise book, this is USSR book with thousands of problems from easy to hard.
    3
  19459. im studying for a calculus exam i have about a month from now, this kind o videos are very helpful, thanks man
    3
  19460. Multivariable calculus
    3
  19461. I absolutely LOVE that book! Between that book and Krista King's courses on Udemy I have learnt a lot of math, whilst teaching my son.
    3
  19462. I'm a medic, but you keep me going. Thanks
    3
  19463. Amazing, thanks! You really know how to motivate.
    3
  19464. Gandalf the white has spoken! ❤
    3
  19465. Thanks sir
    3
  19466. More easy way : purchase jee advanced maths book and study it then purchase Gate maths book and study it
    3
  19467. I REALY INTRESTING YOUR VIDEOS ECSACTLY AND MOTIVATION MY LIFE KEEP GOING❤
    3
  19468. The way he holds the marker is somehow satisfying
    3
  19469. I have the International Edition 6E and it's teaching manual with all the answers to the questions. The same goes for Stewart Calculus 6E International Edition and its two teaching manuals for single and multi-variable calculus. It's a waste of money getting the latest and greatest of Stewart. They basically contain all the same information, but arranged differently.
    3
  19470. Awesome, quality 42 minutes for me assured. Posting right at the top of the video where you said in this video youre gona go over them all !
    3
  19471. Need such videos on English 😗🤧
    3
  19472. What was the excitement about in 0:17? Was that when your student Luke came to classroom so late or a little late? I wonder if any of your latecomers had ever tried to sneak into classroom as quietly as possible, but you always seem to have eyes at the back of your head.
    3
  19473. Please can you start super challenging problem series that would be helpful for Jee advance and putnam like exams😇😇😇
    3
  19474. Thank you for this video. I found it to be very helpful.
    3
  19475. I had my copy signed by Abelson and Sussman after I bought it. The signature on yours is authentic.
    3
  19476. I did a search. You can get a copy for under $10.
    3
  19477. If you want to learn something here are the steps: 1) Whatever the thing you want to learn, find other people doing it and join them. 2) It's always a good idea to be professionally trained in the thing you want to learn, even if you can just teach yourself. 3) Surround yourself with the thing you want to learn and do it everyday. 4) Try to deeply understand the concepts and make it make sense to you. 5) Teach the thing to others, via private tutoring or just helping others out online. If you can teach someone else then you most likely know the thing. 6) Do cool things with the stuff that you learned about to show mastery of the subject. Show off your talents.
    3
  19478. Could you do a guide on HOW to go through math textbooks effectively and efficiently?
    3
  19479. Awesome! Which ones and how’d you go about it?
    3
  19480. Published by Springer Verlag = it's going to be good & difficult.
    3
  19481. I thought I was the only one who was too eager to learn the material that i am supposed to learn later.
    3
  19482. Reading the comments makes me feel like a fetus (I'm not calling y'all old, please don't strangle me)
    3
  19483. that last book is so fancy you have to study it using a monocle 😅
    3
  19484. I got trolled by my supervisor and never received the letter Had to ask some other staff for my second reference letter Missed the chance to stay at my undergard uni as a result
    3
  19485. You have books that aren’t maths books? Is everything ok? Am I in a parallel dimension where the maths sorcerer owns non-maths books?!
    3
  19486. You should make a course on PDE's on udemy Ill pay for it tbh
    3
  19487. Nice... continue
    3
  19488. i see math sorcerer and i automatically feel like learning math
    3
  19489. In 2:04, does Luke always come late to classroom? How black are your hands, after cleaning the white board with them? Here, you didn't use cloth, except in 15:21 and 17:33. 😶
    3
  19490. I own this book!
    3
  19491. This man is saving lives out here 🙌
    3
  19492. I’d rather do disk and shell, I got ffed up in Polar and rectangular slope and curve. I love series. I don’t know or maybe I just like cancelling fractions.
    3
  19493. I've been doing this. Always have a side-book other than classes that i'm working through in the background. It compounds fast, soon you take other classes and you've seen patterns that others haven't. Math comes easier to you, your brain recognizes patterns. It's beautiful.
    3
  19494. You're the best.
    3
  19495. Every bad day i have i see your "motivatinal" videos and i get back to work with more focus and love.
    3
  19496. i myself only have one number
    3
  19497. you don't blink.
    3
  19498. In India we study in class 9
    3
  19499. Alot of books out there, anyway my styil trading is price action.......al brooks
    3
  19500. 💯 👏
    3
  19501.  @TheMathSorcerer  I see what you mean. It's still some constant C even if it's multiplied by 1/2.
    3
  19502. The Math Sorcerer Thank you very much. I will check out GRE maths books online.
    3
  19503. what kind of exponential equation is this
    3
  19504. Thank you so much!
    3
  19505.  @TheMathSorcerer  Likewise man!
    3
  19506. I’m 50 and starting grad school this upcoming spring semester. Working towards MS in mathematics.
    3
  19507. Thank you sir for sharing about that book . really awesome
    3
  19508. Whats the difference between advanced calculus and calculus? Here in Spain we study analysis every year of undergraduate(in spanish are Análisis 1,2,3,4) but most of it is covered in the first year(Análisis 1): real numbers, sequences, series, continuity, differentiability and integration of one real variable. The rest of them cover multivariable and complex analysis. I though advance calculus covered measure theory or functional analysis but after seeing this video I'm confused.
    3
  19509. Calculus is computational based normally what you get taught in school, Advanced Calculus is Analysis etc.
    3
  19510. Excellent video of a fundamental property
    3
  19511. you are a legend! thanks for sharing your knowledge with that pasion and good vibes!!
    3
  19512. With the current social climate, it's difficult to concentrate.
    3
  19513. Goated part of calc 2!
    3
  19514. Tnq so much❤️❤️ I have an exam today... Its really helpful❤️
    3
  19515. I love that math sorcerer is now ripped as hell.
    3
  19516. I take your advice Sorcerer, bless you
    3
  19517. Amazing!
    3
  19518. I would love to see a video that misuses mathematical induction. For example, proving that all horses are the same color.
    3
  19519. i thought you were super overrated when i first found your channel since i didnt really find your most popular videos interesting, but your textbook videos such as the physics one make me super hyped to learn more math
    3
  19520. How is The book by Tristan and Needham? And the other one by Lars Ahlfors ?
    3
  19521. I entered Saw the amount of books Returned
    3
  19522. Remember not only to look through a book before purchase; to make sure its got the required content, problems, answers,style and so on. But also have a good sniff, because it will be under your nose for many hours and you don't want it to make you feel ill. Well that's why I think the smell is just as important as the content.🥺📚
    3
  19523. I am sometimes a bit trapped between the things that i could have done in the past and all the potencial things i can do un the future(cos i relativily young(21)).it's dangerous sometimes to think that the future is going to be all good without being realistic, reflecting about the things You ve done in the past.and it's really difficult for me to bury all that regret in the past and move on with the present to create a better future.I guess You did related with this when You started college,how did you deal with it?
    3
  19524. I disagree. If you told your friends and family about your goals they would encourage you to achieve them and likely help you along the way. Only terrible friends and family would ridicule you for attempting to achieve your goals. To me, it sounds like you experienced this in your youth, but please, do not let it dictate the rest of your life. I mean, do you ridicule people that fail to meet their goals? Do you make fun of people that express their ambition?
    3
  19525. love it when little n is bigger than big n
    3
  19526. Thank you for spending your time making videos like this!
    3
  19527. Nice Hair
    3
  19528. What to do when I stuck at a problem should I look solution or keep trying to solve it ?
    3
  19529. Good
    3
  19530. Love your videos. My story is strange indeed. I went straight into a job right after high school. I ended up working for my dads construction company. I hated my job and eventually switched my career to software developer where I work at a large enterprise writing code. I accomplished it without a degree of any kind. I’m becoming frustrated and bored again though and want to move into a new area of engineering. I’m particularly interested in audio engineering because I’m also a musician. I started to read about how it works and discovered that all roads lead back to Digital signal processing and it’s rigorous mathematics that as of now I’m not able to understand. So my adventure recused back to the fundamentals and the discovery of math sorcery. My new professors math sorcerer and Jason Gibson of math and science tutor have unlocked the joy of math for me. I now can say I do enjoy it intrinsically.
    3
  19531. Thanks
    3
  19532. This is just what I needed these days. Great, man!
    3
  19533. @Insert Identity Here All champs with rest on kill mechanics tbh (Aatrox, Darius, Katarina, Kha'Zix, Tristana, Samira, Vayne...)
    3
  19534. Hey! stop playing . Do math
    3
  19535. I gotta get in on your gym routine! 😅
    3
  19536. Such a wonderful book! As always you knocked it put of the park with your review and did this wonderful gem it’s due diligence! Thank you Math Sorcerer!
    3
  19537. Bro your videos are making a genuine impact on my life, thank you!
    3
  19538. Please review best number theory book
    3
  19539. Am I in the wrong classroom? No, I'm not.
    3
  19540. Check with auction houses, like Heritage Auctions or Christies. They might handle the whole thing for you, for a fee.
    3
  19541. I think this is the book named black book in INDIA cuz no one names the author but just cover and its recommended for IIT jee exam aspirants in early calculus parts ❤️❤️❤️
    3
  19542.  @raul0ca  Yes, I worked with many of them.
    3
  19543. You look like a 🏄‍♀️ surfer but otherwise great explanation 👍
    3
  19544. Math has changed so much since 1992 :-)
    3
  19545. What would the world be like if society hadn't done it's best to exclude the talents of women in history? I'm amazed at all the contributions to mathematics and science in spite of that. Also, rings as really interesting to study, thank you Emmy.
    3
  19546. i am a high school student and i wanna ask are all professors really like this if they are whats the point if they fail to educate and clarify my doubts
    3
  19547. How? It will become an imaginary number.
    3
  19548. Greetings Mr. Math Sorcerer, Ok. Thanks.. Realistic Perception covers All in every aspects.. Take Care.. With regards, RanjithJoseph (R.J)
    3
  19549. Sounds like an interesting adventure. I can see you keeping your books somewhere safe because some are just too valuable to give away. I struggle with a similar issue.
    3
  19550. The same happened with me but not bcoz of marks bcoz of an insult by my teacher
    3
  19551. I liked series, trig sub completely defeated me though.
    3
  19552. Now I am aware that you don’t go into a lot of theory but if you can make a video on singularities and talk about their relationship with black holes, it would just be so prime. Not sure if it’s an option but I’d love to see it. Thanks
    3
  19553. just saved me for my exam monday. thanks!!
    3
  19554. Right when I was struggling to understand Derivatives of inverse functions. Finally a YouTube suggested channel who's like a godsend. Words I needed to hear, thank you. I've just subscribed!
    3
  19555. Sir: well done everyone is in online class Meanwhile students: we are online everywhere in facebook,instagram😅😅😅
    3
  19556. THANK YOOOUUUU
    3
  19557. This book seems incredible. Will definitely pick it up to supplement my journey on khan academy
    3
  19558. Math and MTG coasters? I'm already liking this video :D Where did you get those coasters, I'd love to own some myself.
    3
  19559. Do you have book suggestion on logic and set theory
    3
  19560. Thanks for another book list video, what mathematics are needed to learn complex variables?
    3
  19561. 10:30 I look at R. Creighton Buck's book and shudder. Thank God for Knuth!
    3
  19562. Thanks ❤️
    3
  19563. Number Theory! Yayy! Thanks prof! 😌
    3
  19564. 💚
    3
  19565.  @TheMathSorcerer  A class specifically for proofs would have helped a ton!
    3
  19566. Where can I learn all math rules from basic to advanced
    3
  19567. Until this semester, I had not been in school since 2011, and I had not taken a math course since before then. I decided to go back at the age of 35 for a second undergraduate degree in statistics in hopes of getting a master's in the same. I definitely agree: you're never too old!! Thanks for helping me in my DE class this semester, by the way! You're one of the only reasons I'm understanding it! (My last Calc class was in 2007!)
    3
  19568. Mate, you were cautioned about sniffing old books. You don't know the environment it was shelved in, even though it looks clean.
    3
  19569. 11:02 maybe Henry Ford said that
    3
  19570. it couldn't agree more with your perspective on that. Now , I also think that he was trying to preach the importance of being humble. By calling himself dumb he shows that he doesn't have the need for external validation, that he doesn't feel the necessity to brag about his IQ or his accomplishments. Great lesson!
    3
  19571. you are like newton of now time. my favourite scientist
    3
  19572. Totally true!how is the Coronavirus cituation all around You?are you all right sir?take care!
    3
  19573. I have the same problem like I think so fast so when I have to write down my thoughts it looks messy and some parts are missing so it doesn't make sense. Try to practice more on it by writing on your own some tests. Also its okay to fail at math no-one knows everything, dont feel bad about it let it motivate you, maybe with a clear head you can practice on the same questions you had on the exam and try to resolve it.
    3
  19574. In your intro, you show Shey! "Div Grad Curl and all that!" An excellent book! I cut my teeth on this thing way back in the 1970's!
    3
  19575. sir I have no words....you are amazing
    3
  19576. great video!
    3
  19577. I hate Linear Algebra actually but i am love with calc 1-3 in fact i am going to study diffrential Equations and i feel i will be good at it as i was in calc1-3 & love physics some advice please ♥️
    3
  19578. Do you plan on making any more study session videos? Love the content!
    3
  19579. Great vid
    3
  19580. I just failed Linear algebra for the 3rd time and I cried sooo many timessss I work my ass off!!!!
    3
  19581. Which textbooks on discrete math would you recommend for self study? I am not currently in college. This just for intellectual enrichment at the moment. Any recommendations you have would be appreciated.
    3
  19582. Ayooo jeeff bezooooozooss is that u ?
    3
  19583. Schaum's, Grossman, Richard Hill, solved exercises from past semesters/years (college courses). :)
    3
  19584. i love you
    3
  19585. I agree completely with your recommendations. Advanced Calculus by Buck is longest living of the trio. Rudin is very terse n compressed. Buck is not easily available. Folland is worth considering as well. Thank you.
    3
  19586. Thank you, I was missing that piece of information of how cos is the x coordinate on the unit circle.
    3
  19587. A pretty standard book which has been used for ages now.
    3
  19588. I used this book, I didn't like it. it was boring. Strang is better imo and Axler is good for follow up
    3
  19589. My math skills are improving step by step because of you bro, lot's of thanks for the do's and don'ts you recommended -peace
    3
  19590. I always hated math but I'm finally facing my fear, I get bad grades but what matters is I'm slowly working on it. My biggest dream now is to be good at math Inchaalah
    3
  19591. I get inspiration from Elon musk
    3
  19592. hey pls pick the next topic how to apply the vast knowledge of mind in exams of multicorrect question paper and get full marks.....
    3
  19593. Buying as soon as possible is my opinion. The world is growing as a whole at a very rapid rate and you would have benefitted buying at any time period if you held until today. Even if it goes down you should just hold for long term. Electricity, AI, Medical companies are all futuristic things I'm passionate about investing in :).
    3
  19594. lots of love from India
    3
  19595. Thanks soooo much!
    3
  19596. So much better than my differential equations TA. It was fun to watch you teach. :)
    3
  19597. poor mathematician jeff bezos
    3
  19598. #GREAT EXPLANATION
    3
  19599. Using the fact that |sin(x)|≤1 (because sin(x) only takes values between -1 and 1) we can do: 0 ≤ |sin(x)/x| ≤ 1/|x| -> 0 when x->+∞. So |sin(x)/x| -> 0 => lim (x -> +∞) sin(x)/x = 0. (Because |a| -> 0 if and only if a -> 0).
    3
  19600. My man looking like he just came back from a deserted island 😭
    3
  19601. thanks buddy this helped!
    3
  19602. Thank you for sharing these words of encouragment. Now all i need is for you to post Calc 2 lectures :)
    3
  19603. Here from X because this video is trending
    3
  19604. Why did youtube recommend this. I really thought this would be a meme or something…
    3
  19605. Wasn't the first step unnecessary? We have common denominators. 2x-2x and 1-(1), we still get 2/2x, 1/x but we are able to save a step by not altering the operation sign at the beginning.
    3
  19606. Watched the whole video and it helped a lot. Thank you so much, I love your videos. =)
    3
  19607. Great advice!
    3
  19608. The way he looks around and gestures with his hands in front of the window with all the series equations and whatnot is what I basically do whenever I'm really struggling to understand stuff lol. Except it's not on a window obviously.
    3
  19609. Hey big boy, you should put the title without the parentheses on "-1" otherwise it is near impossible to find your video
    3
  19610. Thank you!
    3
  19611. The mythical MIR publishers, scary math stuff
    3
  19612. THANK YOUUUUU
    3
  19613. Mir is the world in Russian. Another meaning of the word is peace.
    3
  19614. This dude only blinks 4 times in a minute, Crazy
    3
  19615. omg, but what in heavens is this absolute derivative good for?! 🔞🛠️⚒️⚔️🎌❌✝️⛪🤞🙅😵🤸🕳️💥💫✨😱
    3
  19616.  @TheMathSorcerer  they are used in calculus 😳😳 Wow! Amazing :)
    3
  19617. I’m at a similar point with needing a bookshelf for my library. Books stacked high on my desk and file cabinet.
    3
  19618. Thanks for your thoughts! Glad that I found your channel. It's always nice to hear some insight about mathematics that isn't necessarily just a math presentation if that makes sense. Love the background too!
    3
  19619. A lot of People. Vevy few pleople can speak freely about maths.
    3
  19620. ¡Buen día! ¿Has estado en la Facultad de Ciencias de la UNAM en la CDMX? Greetings from México City :) I love your channe!
    3
  19621. It's the guardian attitude. These folks want to stand over your shoulder and make sure you're "doing it the right way." Can you please just go? I've got this. Worry about your own education. Very frustrating for self-learners/lovers of learning.
    3
  19622. It should be reprinted (hear me Dover???)
    3
  19623. It's funny to see that you have League of Legends installed! I also like the game, though I like Mobile Legends more! Keep making amazing math content!
    3
  19624. can u please explain why we add +2kπ at 0:56 ?? Which funcion you mean is periodic?
    3
  19625.  @TheMathSorcerer  It is! I just ordered a copy a few days ago and I'm excited to dive in!
    3
  19626. Do you have any tips on exams and how to answer math questions in an exam, like how to avoid silly errors in the exam or spending too much time on one question and getting stressed out in the exam
    3
  19627. Man, i changed my course for CS after doing 1 semester i Civil Eng but i am thinking to come back to Eng. because the classes looked more interesting. What made me had changed the course is job opportunities and the drawing classe but in CS i will not have physics and math classes like differential equations and it makes me sad. At the same time i can't see me working as a Civil Eng., and I don't know why. Other thing that makes me think to go back for Civil Eng. is that i can ask to transference for any other eng. graduate like mecanical, eletrical and etc.
    3
  19628. First of all, congratulations on getting 500k subscribers! I am proud to count myself as one. I also wanted to take a moment to talk about how your channel and content provide a benefit even for people who may not be very serious about mathematics (not undergraduates studying math topics or graduate-level or professional mathematicians doing serious research). I most certainly don't see myself as a serious mathematician, but I find your content incredibly soothing to watch (I primarily watch your book synopses, but watching you work through specific math problems can also be enjoyable to me). It's fun to just sit and listen to someone talk about a subject that they love, even if I don't understand all of what they're saying. I also like that you encourage your viewers to not feel too inadequate to begin self-study just for the sake of learning. I think a lot of people here in the US are discouraged by mean-spirited or callous teachers or peers when studying math at the secondary level who tell them to "just not bother". But you come with the message that studying math just to be able to appreciate its beauty and structure is its own reward, even if the learner may never become an expert calculator or mathematician, and that is enormously heartening. I hope you continue to do what you are doing here; I will certainly continue to watch.
    3
  19629. Boyce and Diprima. My college textbook and I still have it for some reason.
    3
  19630. i pictured sorcerers house sort of like anthony hopkins in that movie "proof" where its just stacks and stacks of notebooks. but he's actually quite clean and organized, as most sorcerers are.
    3
  19631. I got it sir. Thank you so much🙏
    3
  19632. The Math Sorcerer, I never knew professors can have their own offices. Wow. That is new to me. I love to see the layout of your office. I love to see professors' rooms that they use for researches, and see also their libraries.
    3
  19633. Hello from India. One thing I don't understand about English and American writers is why don't they provide answers to all questions at the back of the book? That makes them pretty difficult for self study. Here in India all authors provide complete answers. They are usually quite poorly written, though.
    3
  19634. Mmm this is one of the videos I needed the most at this point in my life. Thanks :)
    3
  19635. Me: uses the definition of a derivative
    3
  19636. I used this video to solve my math of sample paper thanks from India
    3
  19637. Please how to read math books ?
    3
  19638. A million 👍 to your channel.
    3
  19639. "Ganas".
    3
  19640. Wowww, i used the quotient rule and ended up taking 2 A4 pages and still got the wrong answer. Even though this was uploaded ages ago, it still helps people to this day, thanks man! (Would really appreciate it if there's one using quotient rule method)
    3
  19641. good work ,keep it up.You helped make my love for math come out.
    3
  19642. I didn’t realise Isaac Newton had a YouTube 😮
    3
  19643. My experience: during remote learning , i had more time and proper conditions ( silence, no interrupting of classmates, teachers arguing) to study. I 've got better at learning , I enjoy it , I am graduating and it is sad that I did not feel that enjoyment earlier , cause now i could study some chemistry on MITopencourware or Yale coursesn or read some large books about biology , read new inventions in robotics , learn about finances and investing etc. I am sure if I wont study , I will miss that enjoyment of becoming more an more educated . That is my valid point :study to enjoy .
    3
  19644. The type of capability for Great Circle distance calculations on paper was the single most important determining factor for appointment to piloting the cockpit of a World War battleship or B52 bomber. It was the first question. It was step number one. Logistical dominance wins the battle.
    3
  19645. Love you Sir.Your words are very inspiring.
    3
  19646. I hope to come back to this video in the future with success, because I'm doing maths on my own now, and it just gave me hope
    3
  19647. Great video
    3
  19648. Do you need high IQ to study math? no but you do need to study math to get a high IQ lol im not even kidding doing a lot of math increases your IQ and literally makes you smarter, all those months and months of you struggling with problems for hours was your brain literally growing and neruons making new connections
    3
  19649. I will ALWAYS get 100% On Every Test.
    3
  19650. This video is pure gold. :)
    3
  19651. What about Thomas Calculus?
    3
  19652.  @TheMathSorcerer  Sir , you are not finding elements of Z×Z×Z , you are just assuming by yourself.
    3
  19653. First
    3
  19654. This is a great book. It shows all the math you can learn at the under-graduate level. But more than that, it introduces you to the world of mathematics.
    3
  19655. True. I have an easy time dealing with abstract algebra or topology. But put a simple problem in number theory in front of me and I'm suddenly like a turtle on its back. Which makes me think intelligence and talent are somewhat different things. I could be a topologist but I really couldn't be a number theorist.
    3
  19656. Enlightening quote
    3
  19657. Mathematical programming..wooed
    3
  19658. Marry Christmas 🎄 my dear sir. Love you from INDIA.
    3
  19659. Every math instructor I’ve been with always said that buying the text book isn’t required because everything is already in MyLab Math
    3
  19660. Beckmann and Narici is amazing in Functional Analysis as well as the second one in red color. Very nice video. Congrats.
    3
  19661. Luckily, our sir already told us that infinite agp formula is trash, he told us to learn the proof instead! So yeah, if you do find long formulas, the best way is to learn the method of approach
    3
  19662. You do math for love, not for the money. You want to make money, go into "sales" PERIOD! I've done jobs that pay more than my Engineering field. You could also try welding or machining for a tech company. I was a DSP (Digital Signal Processing) Engineer and they paid me $120000 annual salary at cap. Previously, I went into a technician job and capped out the same amount with no experience and education requirement. You might as well try out a dangerous high paying job such as a entry level lineman with hazard pay. Suicide is never the answer bud. Working a trade will not place you lower than anyone else.
    3
  19663. you saved my life and my reputation. Thank you Math Sorcerer.
    3
  19664. Love the videos. Why would we want to find the total differential and why would we want to 'approximate' when we can get exact answers by other means. I just don't get it. Just subscribed.
    3
  19665. first
    3
  19666. Thank you for your video! I wasn’t able to find any source that was able to explain this concept as well as you do
    3
  19667. Nice, worthwhile video. I have an older edition by Taylor. It's golden yellow in color and quite thick, as you've stated. Some more modern calculus books are rather challenging and advanced in many respects, such as Bamberg and Sternberg's two volume set for applied mathematics and physics majors (circa late 1990s, as I recall, but still worthwhile). Technically, its not a real analysis book. Axlers' book "Measure, Integration and Real Analysis" (2020) is well written with multi-colored printing and many boxes on each page for summarizing concepts.
    3
  19668.  @TheMathSorcerer  Wow! My math library may be increasing in value faster than the stock market.
    3
  19669. The Best advice I ever got
    3
  19670. I need this book
    3
  19671. Amen! Regret is life's worse thing that you can ever have or do!
    3
  19672. " The proof is trivial, we won't lose any time on it " The proof: Complete classification of finite simple groups.
    3
  19673. Thrift books!
    3
  19674. And the decision to ask Alexa is not a decision! 😛
    3
  19675. Thank you
    3
  19676. Let’s hope the book didn’t poison you😂 actually really cool i didn’t know old books can contain chemicals that are bad for humans
    3
  19677. I solved a few hundred problems from a newer edition of this book when taking first year math classes (like calc 1-3, I suppose).
    3
  19678. He's not blinking.
    3
  19679. Is not this dangeroues? I mean what if a wild animal appears (humans included)...
    3
  19680. Great advice as always!
    3
  19681. Whoaa!! I took a class of yours once maybe two years ago, you made math fun for me! I had to start over due to life stuff but started over got all A's and now finally starting Calc sequence!
    3
  19682. People learn in different ways. But for me learning has been a mixture of note taking and focusing on what is being said by the lecturer. Clearly if you spend every moment in class writing you'll probably miss something that is said by the professor. Also, in math, most key formula's that must be committed to memory if you're going to do well on an exam, will be in whatever textbook you're using for the class. So why spend time copying them down again during the lecture? On the other hand, there may be a key trick or concept that you didn't understand from the text. So certainly jot something like that down if it's addressed in lecture. With all due respect, I don't really see an issue with this topic. Do what works for you. And that's part of the beauty of math. You'll know if it's working for you if you can solve practice problems by applying what has been taught.
    3
  19683. God bless You Most respected Sir, you are like Newton thinker
    3
  19684. You mispronounced "Legendre." A small point, of course.
    3
  19685. Thank you, I was very stuck on this and you explain it very simple👍🏻
    3
  19686. Question for a future teacher. How long did it take for your board work to look nice? Mine isn't terrible, but sometimes when I finish up in class I feel like a chicken threw math at the board.
    3
  19687. Well this book is not complete beginner, because it takes as granted that you know how to do division/multiplication with decimals and stuff.
    3
  19688. why is there so many women in calculus.
    3
  19689. Looks like I am the first one to enter the classroom, Mr. Wizard.
    3
  19690. You seriously couldn’t of come up with a better podcast name?😅
    3
  19691. Not sure how to message so I’ll comment. I have a B- in calc 3 right now, a month and a half till the final. We’re just starting triple integrals, honestly I’m not great at integrating. Do you think if I put a lot of effort into it, I’ll be able to do well with the material after this? It ends around integrals of parametrized surfaces and stokes theorem. I’m worried because I hear from here on out it gets very difficult.
    3
  19692. Well said, more often than not people enjoy more what comes easier as opposed to more arduous for competency. My personal opinion is that there’s an equal amount of self-satisfaction in both. Speaking specifically about math, it’s been my experience that a majority of people perceive math to be more difficult than it is, most often due to stigma. Regardless ty for the all the great videos and positive approach.
    3
  19693. A quick question sir. I actually enjoy maths and physics. But, I have heard that the career opportunities in academia are very less and you don't earn that much. Will you recommend me pursing engineering or bsc in maths and physics?. It's quite a hard decision for me. Any help/advice will be appreciated
    3
  19694. This is good advice for life in general
    3
  19695. I think the "something" over nothing is true, but the "something" can also be the fundamentals of the companies you are investing in.
    3
  19696. Your tips are very practical and helpful 😃
    3
  19697. oh wow awesome❤
    3
  19698. Professor looks like Isaac Newton...🙏
    3
  19699. Let's say I'm a highschool drop out. I have no idea how I got as far as I did in highschool. But I cannot even add without writing it out or a calculator. I cannot multiply. Where does someone start at that point?
    3
  19700. Greetings Mr.Professor, Thoughts : - Good, Well-informed, Meaningful words on Academia. Thanks, Professor.. Take Care.. With regards, RanjithJoseph (R.J)
    3
  19701. You just reminded me everything I learnt this year. No joke. Thank you very much.
    3
  19702. I have a law degree specialised in corporate law and I am currently doing a mastersdegree in computer science and economics (all in Germany) and I am working full time for the government.And I havelock say that it is absolutely worth it. I don’t even have the degree jet and I am being considered by colleagues and bosses for really interesting and well paying projects and positions I never would have before. I am not even that good grades wise, but the combination of fields I have let’s me try out stuff and just apply. It is hard work and I don’t have the weekend off, but thanks to the pandemic I don’t have anything else to do anyway, so yeah. I my case I have not seen any negative sides Rothes other than lack of sleep. Oh and I agree wirkte the points made in the video!
    3
  19703. I actually watched the video you were referring to at some stage last week (brilliant by the way, I am determined over the next few months/years to finish chronologically your recommendations), I downloaded the discreet math you recommended but if I'm honest I am finding the subject a bit tedious. I have not ventured too far into the book the opening chapter is an introduction to Mathematical language which is good for writing a dissertation and all that good stuff, the next chapter is set theory which hopefully is more apelling. In this video your recommendation to analyse pre algebra/algebra in parallel with discreet maths is a great idea two birds with stone.
    3
  19704. Thank you ❤❤
    3
  19705. if I am not mistaken I'm watching your 4th lecture and I have already remembered names of your students ;)
    3
  19706. I used to have a Dover reprint of this book back in the 90s, I believe it got lost when we moved.
    3
  19707. same here
    3
  19708. Really thank you I was confused on that to
    3
  19709. Thank u sir .....
    3
  19710.  @TheMathSorcerer  That is how it is done in rd Sharma our math Bible and other Indian textbooks
    3
  19711. Nice book.
    3
  19712. Why tf ur staring .......... I literally got scared hearing uh at 2AM.........😢😢
    3
  19713. Thank you so much for this video, I am going to write this "proof" on every integration question from now on!
    3
  19714. There's a bird on your shoulder
    3
  19715. On a side note, I always hated institutionalized education. I would never find "getting A in class" as an achievement of any kind. I learn for the sake of satiating my curiosity about the world, and I've found large institutions in every form to be incredibly close-minded and bureaucratic. The best example of this are the drug laws I believe, do you really expect me to respect the validity of US law whenever the law is contrary to such obvious medical and economic realities?
    3
  19716. 1 video on IMO international mathematical Olympiad
    3
  19717. I refuse to believe this guy isn’t Jeff Bezos
    3
  19718. Thanks Sir
    3
  19719. First viewer
    3
  19720. Sell at the Top. Buy at the Bottom. but you need a reliable crystal ball....
    3
  19721. What an absolute legend still liking and replying :)
    3
  19722. I love these vids
    3
  19723. It is so true!!! Pre calc & trig together was way harder than calculus 1, specially for me that my precalc and trig class was applied math only, after that class i thought i was going to have difficulties in calculus and it was so good to have fun again in a math class.. Calculus , at least calc 1.. was fun, and a good teacher can really make a difference... a good professor can make calculus more enjoyable and relatively easier than a introductory college algebra class
    3
  19724. Hey this helped a lot. Thank you man!
    3
  19725. That was helpful..i just got a path... Thanks a lottt
    3
  19726. I truly think if you had existed back when I was in college my experience would have been so much better. I did not really understand what I needed to do to succeed when I was 18. Instead I bumbled through it.
    3
  19727. I think the best work & progress comes to those who find a great amount of interest and enjoyment in mathematics. Same with every skill, I think. I often think pure enjoyment is important, but maybe this doesn’t address those who just want the result or passing grade. There’s something about loving mathematics, deeply enjoying the process & having a great sense of appreciation.. that somehow there’s this deeper aspect to higher skill level and comprehension, because then all the hard work isn’t painful but enjoyable...even approaching a monomaniacal interest at times. Does that seem right?
    3
  19728. This is no joke.its kind of creepy to see what Coronavirus did to whuhan.let us hope this doesnt get out of control.take care sir
    3
  19729. It went by a bit fast but I guess what your doing is you derivate the function so that s`(t) = -32t + 35 , and then you solve it for s`(t) = 0 to get the max-point?
    3
  19730. Really need this motivation in my life
    3
  19731. |cos(pi*n/2)|, n=0,1,2,3,4,5…
    3
  19732. Does his way of holding the marker make anyone else anxious?
    3
  19733.  @TheMathSorcerer  Please do a video series exactly like this one but use that book that was called Calculus by Rocket.
    3
  19734. Everyone, it's IQ. It's largely genetic. Think of it like a car. Some cars are made with lots of horsepower. Others are not, but it's ok, they'll still do ok, they just won't win races. Don't set yourself life goals that are beyond your reach. Don't condemn yourself to a life of misery. Get an IQ test, and if you are over 130, then you probable have a career in post-graduate mathematics/science. If between 120-130 look to retire early and pursue your passions. If below that, do something meaningful because you will likely be doing it for another 30-40 years. If below 90 get some psychological help and try to get as much help from family/friends as you can - be useful and people will keep you around and look after you.
    3
  19735. does this channel has actual math ?
    3
  19736. Great vid. Love these book review vids especially🎉
    3
  19737. Hooyah!
    3
  19738. I just found third edition Book of Proof from Richard Hammack online for free.Thank you for informations.
    3
  19739. Hello Sir, Do you have lecture notes for Alfors Complex Analysis book?
    3
  19740. Thanks
    3
  19741. May we have a reaction video on the book -> a course on pure mathematics ... HARDY
    3
  19742. Rock on!
    3
  19743. Evidently, you've taken your stripes. I get reminded of favorite quote from Ghandi everytime I watch your videos. -Life as if you will die tomorrow, learn as if you will live forever. Keep'em coming Sorcerer.
    3
  19744. I don't remember using a single piece of calc in physics w/calc
    3
  19745. I recently finished my first "advanced" math course, which brought up things like partial differential equations, Calculus Of Variations and Hilbert spaces, and I can confirm that even the teachers for that course frequently stutter and become insecure during their lectures, since all the example problems always contain a crapload of steps. Hell, even the simplest problems in the homogeneous Dirichlet forms required at least one huge summation and a bunch of substitutions.
    3
  19746. Hi, can you solve it and make another video
    3
  19747. Hey math sorcerer Talk about the best batch of students you have encountered in your teaching journey. And also do another video on the best student you have seen in math teaching journey. Lastly do another video on the student that has grown swiftly from worst to best….
    3
  19748. Thank you !
    3
  19749. Soo true!! Thanks it was very helpful.. i wish i discovered your chaneel earlier, because it gets really hard sometimes as a math major, and the math community is just like small or silent?!
    3
  19750. Hi Math Sorcerer Please give me some insight… I am taking calc II next semester but have not taken Calc I in 3 years. How do you recommend I brush up on Calc I? Is Khan Academy solid? Textbooks? Should I brush up on precalc too?
    3
  19751. On the topic of notes: I always take notes and have had the same level of success as Ethan as a math tutor and major. The reason I point this out is because I do not think personal experience is a good way to reason here. Yes some students take no notes and are very successful and some take tons of notes and fail. But I would wager that most students take some notes and for the average student, Math Sorcerer's views are going to be more helpful. Personally, notes are a good idea in math because it opens up space in your mind for reasoning. That is, in a lecture, I don't want to keep precise things in my mind, I want to write down precise things so that I can focus on the feeling of what we are doing and begin to understand how everything fits together. On the topic of teaching: For me, it is completely true that if I can't explain something then I don't understand it. However, I have professors who, very obviously understand the content, but can't explain things well (unless you count a very formal explanation that only other mathematicians can understand). This is also true for peers of mine, who are absolute rockstars but couldn't explain something clearly if their life depended on it. Teaching, in my opinion, is a separate skill. It requires its own education and takes practice to get good at. So, some people may understand stuff well and just be poor teachers/explainers because they haven't yet learned how to explain and teach. Great video!
    3
  19752. that made is very clear thank you!
    3
  19753. Professors need to be more open about the idea of IQ, and tell eveyone else that IQ is a real thing, and some people will have a harder time learning, but with hard work you can keep up, just working upon the idea that you have to work maybe twice as hard.
    3
  19754. First
    3
  19755. I am in the midst of applications right now and I really needed to hear this. I really hope it works out. Your videos are something else for folks like me that are "non-traditional" student. I went back to school to study math taking classes at night because I loved the material, I am a non-degree seeking student and now look at me... I am applying to graduate school. XD Thank you for all your help. If I ever make it to grad school, it would be great to see videos about how to survive that whole process and do well.
    3
  19756. Amazing book ❤
    3
  19757. Sir I'm just wondering about your cal 2 playlist (lectures in real class). I need it so bad.
    3
  19758. the 2*3=8 and the "forgot to read the last sentence of the problem" really hurt
    3
  19759. i was in all the remedial classes in mathematics, yet today I still have an insatiable appetite for mathematics
    3
  19760. Thanks man, I needed this today.
    3
  19761. This is the kind of guidance which any teacher should engage in, in class. It can be extremely helpful and will pay dividends down the road.
    3
  19762. Thank you 😊 your videos always come at the right time and motivate me to learn more the next day.
    3
  19763. The access code, its always an access code
    3
  19764. I watched this entire video attentively, and I would like a cookie now. Yes, it's possible to end up with two copies in whatever edition with a few inadvertent unchecked clicks of a button, possibly in inebriated or underslept state of brain. Not relating personally to the experience, but not judging either. Yes, also, probably at least 70% of math book owners have at this point applied at least one layer of duct tape to preserve the wholeness of their repeatedly reviewed and annotated books. In fact, math textbook annotating is my love language, and whoever consumes these books carefully opening them to no more than 89.9 degrees, never having a pen in the vicinity, or dear God forbid, any liquids or food substances, is suspect as a deviant psycho in my book, no pun intended. I happen to know one such person in fact, and my suspicion is confirmed by this case. Cool presentation, and I believe I speak for a very small village of math nerds as well. My discrete math book was expunged from a bookstore down the street of my first big city life walk-up studio. I have only shown the first 3 chapters my devotion so far.
    3
  19765. Some type of diversion is often helpful when tackling a tough problem
    3
  19766. amazing so simple and clear thank you
    3
  19767. This link video you write I can understand from it a lot if you make more math lectures will be much better or easier. Thank you so much.
    3
  19768. Thank you for the video ✨✨✨
    3
  19769. I just speed ran that so fast
    3
  19770. The subtle humor....love itttt
    3
  19771. Lol
    3
  19772. I am getting scared by your hair
    3
  19773. Second comment 😀😀🤘🏽👋🏽
    3
  19774. Quite often you get a library copy that was seldom if ever taken out. Or old stock that didn't sell.
    3
  19775. on average, mathematicians have a way above average IQ so, yes, math does require intelligence.
    3
  19776. 8:13 Looks like man was studying special relativity alongside trigonometry. 🙂
    3
  19777. Thank you for the help themathsorcerer (:
    3
  19778. Our Calculus 1 and 2 it was 600+ students, now it's 482 in calculus 3.
    3
  19779. Isn't this the very basic thing, every human should learn? if someone don't know these, it cannot be called human.
    3
  19780. Congratulations 👏
    3
  19781. This dude don't blink his eyes 🤯
    3
  19782. High school math teacher here. Another important reason for the popularity of the Ti-84 is that it's allowed on AP Exams (Calculus and Statistics). The TI-89 and NSpire are not allowed, specifically because of their CAS capabilities.
    3
  19783. good math
    3
  19784. Gringo loco ,great channel do you have
    3
  19785. Math books are kind of hard to find where I am and quite expensive if even found, so I usually use the PDF
    3
  19786. Thanks man. Yes. Usually, when I’m down, I start thanking The Universe for whom and what I actually do have! I do this over and over and OVER again. Then… The Universe rewards me. Cheers.
    3
  19787. Started mid twenties myself, David's definitely not too old. You do it for you, if it's your desire you'll get there. Follow your passion and overcome everything obstructing that path.
    3
  19788. 1:27 I've actually gotten this one.
    3
  19789. Learn calculus with this depression... ...era book
    3
  19790. Physics is Life, I am in Ireland and I am stuck with work in my late father's shop. My mother needs me for labour. Besides, she would be alone without me. The nearest university are faraway. Nonetheless, I am self-studying mathematics and I will try to get into physics soon. I want to use them in 3D modelling software, Blender. I study at home and also at work while taking advantages of the quiet times of trade.
    3
  19791. I love this pile of math books. Mine was very similar. The day I walked into my schools graduate math library and saw rows and rows and rows of math books did I realize my math degree education was nothing but a whiff of the subject. I was sampling a drop from a vast ocean created before my time. Humbling!
    3
  19792. I will check it out. Here is an interesting text book.An Introduction to Proof through Real Analysis, Aubrey, Jason A., Madden, Daniel
    3
  19793. Dynamic Tension must be hard work
    3
  19794. is this college level in the us? or just high school
    3
  19795.  @TheMathSorcerer  very intresting
    3
  19796. Thanks for recommending these types of books sir :)
    3
  19797. Thank you so much.
    3
  19798. Thanks man you’re a lifesaver.
    3
  19799. I will check out "Calculus Made Easy" and "Stewart Calculus" at Open Library. Thanks for mentioning books.
    3
  19800. Another amazing book 😊😊
    3
  19801. Maybe I will buy those
    3
  19802. This is the dream
    3
  19803. sus
    3
  19804. Thanks 🌺
    3
  19805. sorry this may sound mean but whole vedio i was too focus one your eyes and didn't listen to word you were saying so I re watched the vedio with audio only
    3
  19806. Cheating in all education platforms, higher and lower, public and private, civilian and military, has been going on since those institutions have existed. I wouldn't be surprised if Aristotle packed cheat sheets when dealing with Plato.. And if this surprises you then don't let that sand your head is buried in get in your eyes but it continues into the professional world as well. And if you don't think it's not happening in the highest level of corporate america then I feel sorry for your naiveté. The agencies you depend on to protect you get a reasonably sizable pack of lies handed to them daily in doctored documents meant to protect you...examples..? Abbott labs, blue bell ice cream... So getting rid of cheating in college wouldn't change a darn thing since there's plenty opportunity to ply the craft post graduation...
    3
  19807. This is more an engineering test than a math test.
    3
  19808. perfect thanks a lot
    3
  19809. I don't want to be a Mathematician or something, I just want to become competent. I have had a problem with numbers basically since birth I can barely do higher than 3-digit addition in my head, also I almost have some weird number and symbol confusions. I always score above average on English and Reading (scoring nearly the highest percentile on speed reading comprehension) other than slow learning I do not feel severely mentally deficient, I just struggle with math for some reason. I hope maybe the ideas in this video can help me. My mother entered college barely able to comprehend fractions but and was told by staff she was too dumb to learn math, but by the time she graduated she had passed Calculus. I hope it works out for me.
    3
  19810. Your content is so good, thank you! 😄
    3
  19811. I prefer to make my videos outside too. It’s just more “organic.” 😂😂😂 But honestly, the hardest part is controlling audio of the hustle and bustle of a city. 😔
    3
  19812. Greetings Mr.Professor, Thoughts : - Thanks for Valuable Textbook on The Scientific application of Computer in all aspects. Take Care, Professor. With regards, RanjithJoseph (R.J)
    3
  19813.  @TheMathSorcerer been trying to get this for MONTHS! After I signed up for membership, I lucked out 😁
    3
  19814. LOL I loved the ending "good luck, go do some math"
    3
  19815. Sir does it converge or diverge? I think it converges
    3
  19816. Anyone can learn Mathematics but it is the speed in learning and the teacher that you are learning from
    3
  19817. Great advice as usual, sorcerer. There is a book Complex Numbers... A to Z by Titu Andreescu. Unique in content and coverage, truly. Please try reviewing if possible.
    3
  19818. Now i know how to solve it 💓
    3
  19819. This channel sparked my love for math love your channel math souceser congratulations for reaching 500 k subs hope your channel grows even more
    3
  19820. I think it is the most stupid thing ever that they do not provide solutions. As most said it sucks for people who want to self-study. But it goes beyond that: people who want to review, who already passed a class but want to refresh knowledge or retake the course in a sense (without actually going to the course). People who want to do more exercises than their professor tells them and thus have no solutions to those exercises (professors usually only post results for the exercises that are mandatory). People who have limited time and thus just want to learn the subject and not become a maths graduate (some do not care about the 'painstaking' process, which sure makes them better mathematicians, but they just want to be adequate in that topic and do not need or have time for the struggle-process), etc etc. Like I get the whole struggling part and I do know there are people who will go for the easy route and just check answers, but the good students should not be hurt because of the behaviour of the bad students. Plus those bad students will quickly learn during exams that their method is bad, unless the exam was too easy or badly designed. So really this is a fix for the result of an issue and not for the cause of the issue. Namely, universities should make better exams or be more strict in who they let in. And like sure, they don't have to post answers in the back of the book. But for the love of God make sure that you can at least obtain them. I don't mind paying extra for a solution manual. I want to know that what I did was correct. It is so easy with problems to think your method is correct or that you have the right answer. Hell, there are times I had the correct answer but the method was wrong and so basically it was a coincidence that I got the same result.
    3
  19821. Thank you for your advices! I have the same feeling that when I have too many choices, I may end up hesitating and doing nothing. I started self studying math during my master program. I spent a lot of time playing games at that time and I felt so bad about it. So I decided to read math books (the first one was topology) between two rounds of game. Surprisingly, I managed to finish the point set topology part with many exercises within only two months. It encouraged me and I decided to use my spare time to learn more math. But the first time I tried to concentrate to learn math without playing games at the same time, I spent hours looking for books and videos and I have learnt nothing. The advice you shared reminds me the small frustration when I started my self study, which might be a difficulty that everyone needs to overcome. Thank you for sharing!
    3
  19822. also: visualization, thinking about maths more deeply (i.e. during alpha brain wave periods), and thinking about and relating maths to the real world as you walk about, practice
    3
  19823. Have you done any videos extending this to systems?
    3
  19824. Can you make a video of a calc book you’d recommend for self study, thank you so much !!!
    3
  19825. Wow this is super cool! Unlike completing the square the lead coefficient can be something other than 1. Definitely will practice this
    3
  19826. Ok on [2,infinity). Sure. The domain got left out when I saw the video tile on youtube home page. I was like no way while I assumed that 1 was in the domain. But sure ... it is uniformly continues on [2,infinity)
    3
  19827. guilty here.... I've never given myself enough credit for my math abilities...especially in high school....teachers disregarded you if you didn't catch on;therefore, I just gave up....but fast forward 30+ years.... I've generated a different perception and have learned more now than I ever did in high school this past yr.....gaining confidence is awesome
    3
  19828. Consider joining a Mathematical Professional Society such as, The American Mathematical Society (AMS), Mathematical Association of America (MAA) or the Society for Industrial and Applied Mathematics (SIAM) for additional networking opportunities. Attending the Math Colloquia at your old school is a great idea, if you can fit it into your work schedule. Get a job that utilizes your mathematical background: it will sharpen your skills and demonstrate your performance beyond your Undergrad experience. Many companies offer some level of tuition reimbursement: consider applying for a Masters in an applied field and complete that. Then apply for a PhD. Study for both the General Math GREs: good performance on those demonstrate that you didn't just "veg out" after you graduated. The fact that you continue to study math is very positive.
    3
  19829. There are different types of luck. It might be the area you focused on or the problems you worked on were similar to the problems that you were tested on. Another type of luck is that you 'luckily' approach the problem the way you ought to and got the right answer: it might be an approach you have never used before. A person might be lucky by having the 'right' study partner or professor or read a book that explains the concept more clearly to the person. So, yes there is luck, but you still have to work hard and study hard to get those 'lucky' chances.
    3
  19830. Me, engineer : What, u guys need indefinite integrals??
    3
  19831. I've been struggling with math (remedial) my whole life, 55. YouTube is not only invaluable to my understanding of math today but substantially better than any in-person math class or book I ever had growing up. I could go on, but I'll leave it at that.
    3
  19832. I wish I have the time for discovering on my own the proofs from the books instead of being like a "verificator" that only reads and checks if the steps make sense. It is so time consuming lol
    3
  19833. No me jodas jajajajaja yo pensaba q eras americano y resulta q hablas español, saludos desde España
    3
  19834. Excelente demostración.
    3
  19835. Thank you very much 🌹❤
    3
  19836. The math book sniffer
    3
  19837. The mouse has at a stroke made it as easy to stop, start and search a video as it is a book - a total transformation of learning by video! If I don't understand something I can pause the video to think it out in the same way that I'd wait before turning a page. Similarly, I might want to predict what's coming next before the presenter states it so again, one click of the mouse pauses the video. Or if I want to remind myself what the presenter said earlier, simply go back (YouTube at least produces a thumbnail-sized run of the video when you run the mouse along the bottom of the screen which makes this easier still). 'Try to do things on your own' - excellent advice.
    3
  19838. This was really beneficial!! I’m a high school student and always felt like I was a computer never knowing why I was doing to math the way I was doing it. I’m in calculus so I’ll start reading with book 1 (discrete) and the calculus book concurrently. Thank you so much!! I will update you when I finish it!!
    3
  19839. Separation of variables and method of characteristics are useful in solving PDEs.
    3
  19840. Hi I'm 🇮🇳Indian
    3
  19841. i prefer some fun with numbers , i'm so obsessed in numbers you know ADDICTION
    3
  19842. Thank you boss!
    3
  19843. first
    3
  19844. Thank youu
    3
  19845. I sympathize. There were a number of professors I didn't connect with, either because of their accent or something about their personality or teaching style, and I often responded by zoning out and not learning the material. So I've been there. I have a few suggestions, though. If you learn best from lectures, you might watch a lecture on YouTube or Khan Academy before going to class. Your school or public library might give you access to the Great Courses which is another source of lectures. It might be easier to understand your professor if you've just watched a lecture in good English on the exact same topic that he's teaching. You'll probably recognize some of the examples he uses and you might be better able to decode what he's saying. About ChatGPT: If it doesn't feel right to you, you can always choose to have stricter standards for yourself than the professor is imposing on the class. Don't let yourself use it. Also, if you just got an 88% even with the ultimate cheating technology, that should be a sign that the AI can't actually do your work for you and can't get you to 100%. It could be that the professor is letting you use it because he knows it's going to max your grade out below an A.
    3
  19846. Sir, I disagree and gree agree as well. There are sometimes you can understand the methods on lectures day but after times goes let say two to three weeks, the concept becomes unclear anymore you left with idea it. In other way around you need some notes backup urself. There is sometimes, i may don't understand concept at all but just follow the music nodes for test purposes. And later ask for assistance on why is it the case for the concept to follow the way it's. Me I like taking notes, maybe the case am a self learner. But thanks different ideas re good to try out maybe can be better choice.
    3
  19847. I followed your advice and now have 8 PhDs, and make millions of dollars selling my notes online. Jokes aside, love the breakdown of the approach and mindset you have experienced.
    3
  19848. Leave some undiscovered knowledge for us man
    3
  19849. How do I focus on Math and not snacks on the table🥹😅 Snacks are like bypasses or back doors to distraction which turns the deep work into shallow work
    3
  19850. I agree. I always shut up unless someone talks about the stuff I like.
    3
  19851. Early AM, before food, after caffeine
    3
  19852. Thanks for the video
    3
  19853. The untidy hair helps sell the impression hah.
    3
  19854. Excelente libro, lo compré hace un par de meses junto con su versión de una variable. Excelente recomendación, como siempre.
    3
  19855. 👍👍👍👍❤️❤️❤️
    3
  19856. This is great! You’re an amazing and passionate professor!
    3
  19857. YOU CAN DO IT!!
    3
  19858. I will check out that book. Thanks for mentioning it.
    3
  19859. Man, I love your tips, your videos and I'm so jealous of your amazing library! I accompany you daily! A big hug from Brazil.
    3
  19860. Nice! I totally overthought that
    3
  19861. Camera angle is so weird. Hahaha
    3
  19862. Well information sir... Most of examples are about mathematics 🤭
    3
  19863. It happens all the time, especially if working on my own stuff
    3
  19864. Hahaha spot on!!
    3
  19865. found very useful, thanks!
    3
  19866. Yeah that´s right professor .PRACTICE MAKES A MASTER.
    3
  19867. You read alot of math books , so make a video on how to read a math book and how to remember the stuff written in it , for life , cuz I wanna read alot of math books too but I feel like it takes me too much time just to finish one.
    3
  19868. First!!
    3
  19869. Which book is best book for infinite series as you told in this video that this topic is your favourite one?
    3
  19870. I love you I swear. Thank you
    3
  19871. Wow! I haven't looked at my copy in a couple of years... I really enjoyed this book in school.
    3
  19872. Think like a genius but try not to look like one lol
    3
  19873. I’m learning on Kahn Academy and other YouTube channels.
    3
  19874. its very easy to recite the formula and theorem and apply, but its very difficult and cost you lots of time to understand the meaning behind theory or formula, included how it can be derived, how it works, how it can be applied in many situation, i have a similar experience when i am learning calculus 1 2 3, i just recite the formula and i think i have learned all the content, when i noticed this problem. it takes me a long time to study all the theory
    3
  19875. Nothing better than Dummit & Foote
    3
  19876. Thanks ☺
    3
  19877. First <3
    3
  19878. Someone has been hitting the gym it seems, good for u mate!
    3
  19879.  @TheMathSorcerer  Do you beleive in following a formal syllabus when you are studying math problems on your own?
    3
  19880.  @TheMathSorcerer  hi, how are you? I would like to recommend you these 3 books: 1) Inside Interesting integrals by Paul J. Nahin ( in fact all his books are very good). 2) Irresistible Integrals by George Boros and Victor H. Moll (this book is more advanced than the book above). 3) (Almost) Impossible Integrals, Sums, and Series by Cornel Loan Văl.ean (An amateur mathematician).
    3
  19881. How interesting it goes from algebra to Trigonometry. This sounds like a good introductory book. ❤
    3
  19882. thanks
    3
  19883. > Stop Trying to Understand Math ok
    3
  19884. ❤❤
    3
  19885. I had a professor this last semester (spring 23) who warned the entire class that the exams were on his lectures. We had no textbook. So our notes and his ppts were all we had to study. One morning early in the semester I was just not feeling it. I was dragging all morning. So i emailed the professor and said I would not be in that morning and skipped his lecture. I skipped one single lecture. On the exam a few weeks later I only made a 70. I spent the next several weeks wondering if that one lecture was really worth 30% of my grade. I attended every lecture after that one and never made below a 90 on any exam after that. So that one lecture, on average, cost me 20% of my exam grade on exam 1. Lesson learned.
    3
  19886. But sir Ramanujam is a man who drive everything without any proof how just he make it can you explain.
    3
  19887. Life saver! Thanks heaps very clear and well explained. TY
    3
  19888. impasta
    3
  19889. LMAOOO this is gold!!
    3
  19890. And this mess is why someone figured out a way to integrate instead, lol.
    3
  19891. Just failed 5 math classes in a row because of lack of motivation and bad habits. Lets change that
    3
  19892. I am 44 yrs old from UK. Few years ago, I had started answering few questions per day from old GCSE Maths textbook which had last me 2 years and nine months to complete as a hobby. My interest grew and I am working on old A-Level Pure Maths textbook (£4 for this book!) for 1 hour or 1 and half hour daily and currently on 2nd chapter which is about vectors. Your channel inspired to buy Discrete Mathematical Structures by K and Busby, which I read occasionally and won't do questions until I complete Alevel Pure Maths textbook first!
    3
  19893. Would you please do an explanation of your great way about integration
    3
  19894. Am first again
    3
  19895. You're a great person
    3
  19896. Awesome advice!!! Take it seriously!
    3
  19897. I found myself laughing harder than I should at your C4 joke. I really appreciate all that you're doing for students. Keep up the great work!
    3
  19898. I thought the same until I watched lol.
    3
  19899. 🙏❤️🙏❤️🙏
    3
  19900. This Is so true so that make you a teacher of a high school grade, this is wow look good can understand a lot from it i can see what you mean. Thank you.😘😘😅😢
    3
  19901.  @Diego0wnz  I also have a studio apartment, I am surrounded by books and I usually drink out of only one cup.
    3
  19902. Ur class amazing but ur writing is very small
    3
  19903. thanks !
    3
  19904. The math sorcerer.
    3
  19905. What is a GRE?
    3
  19906. I forgot to mention: what an adorable bird! My mother had a couple of those for many years ago. So good memories!🥰
    3
  19907. I'm considering learning math from scratch. Do you think doing so will improve general problem solving/logical ability in other areas of life? e.g. coding or work projects etc. Would really appreciate your perspective!
    3
  19908. This reminds me of Good will hunting 😂
    3
  19909. jeff beezos has enough money to make anybody that pronounces his name wrong disappear forever. And also has enough money to make anybody never question where we went lol
    3
  19910.  @TheMathSorcerer  Seems like a cool job and all I need is pizza and books anyway. We will see how the grad school applications go....
    3
  19911. Proud to have given the 150th 👍! ❤ This guest of yours if fully consistent, by the richness of what he brings about, with the mood and contents of your channel, which has opened for me new unsuspected views, making me think that, as maths is, the future of our planet will be one of the Spirit, or it will never be. Let's go for it ! ✌ Thank you, Math Sorcerer !
    3
  19912. 💫✨
    3
  19913. Please, don’t stop making these. Please!
    3
  19914. yeah .......thankuh so much sir 🥰.....
    3
  19915. THANK YOU
    3
  19916. The Baby Rudin book looks really fun, I will definitely check it out.
    3
  19917. Creepy things happen: my son received his bank card with a default 4-digit pin which was the same as mine. What are the 'odds' of that happening :)
    3
  19918. Nothing better to do during quarantine for me...
    3
  19919. This just challenged me to actually buy and properly read these books. Gonna retake my uni math class this year, and I feel so motivated, not even the right word, resilient about sticking to this choice because this is something that I would appreciate.
    3
  19920. Thank you sir
    3
  19921. this is late and u probs figured it out but they're called rational functions
    3
  19922. Nothing asmr about stochastic processes🤣🤣
    3
  19923. 172-years ago
    3
  19924. The deepest mathematics have symmetry and beauty to itself.
    3
  19925. I never paid attention to math in my high school and middle school. At the end I started understanding how beautiful math is, but it was already late to do it in high school. Now, I'm in my 2nd year of college and I'd be happy if I can reach atleast calculus. I don't care if I'm not able to be the best in math, I don't care if I'm not able to reach the apex, I don't care about being the brightest, all I want is to be able to reach Calculus. That's my goal, Calculus. I'll reach there and I'll do it with all my might. I'll prove to myself that I can do maths and that I don't have to be anxious over whether I can do the sum correctly before even trying. I'll be patient and I'll endeavor this with outmost sincerity.
    3
  19926. This was the textbook I used in Fall 1967 and Spring 1968 for Math 50 and 51 at University of Maryland. I had taken a Calculus/Analytic Geometry course in high school. First semester was a butt-kicking - got wasted on first hourly. Meanwhile all the engineering folks were using Calculus with Analytic Geometry by Edwin Purcell - I remember sitting in on their lectures and was so happy that I understood what was going on. Math gods smiled on me and 2nd semester was much better. Now to the changed lives portion: In 1975-76 I was in the MSIA (MS Industrial Administration) program at Purdue University where the challenge is to do 51 graduate hrs in 11 months. The legendary Prof Frank Bass taught the Econometric Course and the 4 hr midterm was 80% proofs. Spivak and the Math gods grinned!!
    3
  19927. Coming to you soon, TMS productions (The Math Sorcerer). 🧙‍♂️
    3
  19928. every time I watch your videos I feel like math is easy, and I know its not. As is being a math professor. I truly appreciate your passion for teaching and your humble way of talking. Every time I watch a video of you in a classroom I feel very spirited and energetic. Thank you so much <3 P.S. you look like Jeff Bezos with hair
    3
  19929. i recommend W.W. Sawyer Mathematicians Delight. a must read for any beginner. some other good books are Paul Lockhart, Measurement and David Acheson, The wonder book of geometry. (Leonhar euler elements of algebra, Henro poincare and David hilbert famous Quotes.) Is by logic that we prove, but by intuition that we discover. -Henri poincaré.
    3
  19930. Jajajajaja
    3
  19931. Burger king plane guy???
    3
  19932. My first and only calculus/advanced calculus books were calculus 1 and 2 by apostol, nothing better than spectral theory for my late teen brain.
    3
  19933. Dude you’re the best!
    3
  19934. Thank you so much. I'm looking for some good math books for my kids. Can I ask you a clarification? When you say that one of the 'pre-algebra book' has no solutions, do you mean that it doesn't have the complete solutions or not even the answers of the exercises? Thank you for you great work, especially the very long video about calculus. It's refreshing to see that other people actually think that Math is amazing and it is like an adventurous journey to solve problems, find answers, stimulate curiosity.. Love from Italy
    3
  19935. 👍👍
    3
  19936. you explained what Ive been trying to understand for days in a minute omg thank you!!
    3
  19937. Thank you for giving me hope sir! I am a bachelor's degree holder in secondary education major in math but sad to say that I graduated without a strong foundation in math. I am now struggling to understand math topics in preparation for the licensure exam which will take place next year. I am also an average student and I don't understand how some of my classmates know math as if it was already programmed in their heads. I feel very trapped.
    3
  19938. Has been great at helping my grandson do better at learning his hardest subject! Thanks for even caring, and dropping these nuggets!
    3
  19939. Hi Math Sorcerer, can you make a video about how to avoid 'learning math badly'? I feel like I have done a lot of self study that has made me worse at solving problems because I learn bad habits.
    3
  19940. I will start using paper without lines
    3
  19941. 🥸 yes very informative, nice to hear from people ahead in the field to give insights
    3
  19942. Such a powerful advice...
    3
  19943.  @thelifelonglearner-luana  It sure is.
    3
  19944. 0:58 That was a bit a B U s i v E too
    3
  19945. You should do videos about how to read textbooks!it would be nice compannion to your book reviews
    3
  19946. Calculus 🤤
    3
  19947. I used Leithold for Calculus. Its the best book for Calculus ever written.
    3
  19948. “Do all of the homework problems” but home work isn’t worth a grade... this is pretty damn accurate for math majors.
    3
  19949. Could You do a video about depression?it's very common among students and I would like to hear your thoughs in it
    3
  19950. So straight to the point. Really helpful!
    3
  19951. Loved it!
    3
  19952. But the best book of exercises on Analysis II selected and from examinations is, Maderna, Molteni, Vignati, - Esercizi scelti di Analisi II e III. Its a must have
    3
  19953. Makes a lot of sense.
    3
  19954.  @TheMathSorcerer  Yes imagine full worked-out solutions to Munkres book... it would be the holy grail!!
    3
  19955. Do you play chess? Take some Modafinil for an even better focus. It doesn't have long-term side effects, I've done research.
    3
  19956. Thank you for the amazing video! Also, this is unrelated, but I'm a HUGE fan of what you did with your hair!
    3
  19957. Thanks 😊🙏😊
    3
  19958. Have you listened finite simple group of order two by the klein four?
    3
  19959. I just started trig identities
    3
  19960. Thank you for making these ODE videos! Helping me a lot through my semester.
    3
  19961. POV, your looking for a chad that left time stamps for each book.
    3
  19962. Thanks sorcerer
    3
  19963. Yes I will practice more and more ✍️ . Thanks for the video. ❤
    3
  19964. Don't forget all the reports that we have to write on top of that
    3
  19965. Is it good for high school student?
    3
  19966. The level of undergrad textbooks and competition is really high in Russia, China and India.They have excellent books in physics, chemistry and computer science too.This makes the student a habit of working hard from a very young age. Parents also motivate them to survive this. There are a lot of olympiads and quizzes on city, state and national level which are designed a level higher then their course.
    3
  19967. Sir, your videos are so well thought out and advice is just excellent
    3
  19968. These videos are so helpful
    3
  19969. At my university, there are always kids who are 14/15, they are already taking first year calculus/analysis courses or taking graduate algebra courses in their second year courses.
    3
  19970. I remember this lecture !!!! So awesome
    3
  19971. Well of course math people are elitist, but certainly not in a bad way. They're the only group that deals in absolute certainty, which takes tremendous care of a kind not really seen in other fields. But many of these folks, like von Neumann, Lanczos, Lebedev, Bellman - and many others - are also happy to get their hands dirty with practical applied work, and provide tremendous service for physics and engineering as well.
    3
  19972. very good explanation, thank you!
    3
  19973.  @TheMathSorcerer  I'm sure you know about Evans, but that thing is way too advanced for obvious reasons. Just the appendix would be a nightmare to read through for most undergrads I imagine.
    3
  19974. I have 45 years old I can not sleep if I don't make a math problem! Mathematics are brain vitamins 👍👌👍
    3
  19975. Thank you! I understood the first part of the semester and got a 90 on my first test but now I'm so lost and my test is Wednesday on chapter 4 and 5 wish me luck time to watch all these videos! I like your style though
    3
  19976. Lucky!
    3
  19977. Dear Sir, Thank you very much for your kind advice. It really helps.
    3
  19978. xy'+y(x+1)^2=sin(3x) is this equation linear or nonlinear ?
    3
  19979. What are you on. The multiplicative inverse of any number is whatever you can multiply that number by and get 1 as a result aka its reciprocal…Same goes for any complex number except you have to rationalize the denominator like he did
    3
  19980. I am 38 and currently working on a new career path. ❤
    3
  19981. Here before 1 000 000 views
    3
  19982. Thank you for the video it is always a pleasure to watch👍 When you say " insane amount of books ", could you please tell us how many math (and may be Physics, data Science,.... ) books do you have ? Even if it just an approximation number, not the exact number, it's fine. Many thanks !
    3
  19983. he's likely one of the most interesting person on the planet
    3
  19984. I am really appreciate you!!! Your video help me alot and now I understand the proof of triangle inequality of vectors. Thanks
    3
  19985. Thanks
    3
  19986. Thanks for making this video! Appreciate the validation for self-study efforts and the wealth of wisdom from your experience. When I do self-study, I treat problems, proofs, and concepts as a hilarious joke or dramatic story. There is no pressure. It’s just a chance to be amazed by math for all the right reasons. With that approach, I get more enjoyment out of a self-study than I would to sit and watch a TV show or movie. Only natural to remember and reflect on the experience.
    3
  19987. Does this book contain material for multivariate probability?
    3
  19988. this was easier that I thought it was thank you for the help
    3
  19989. Maintaining motivation in mathematics is the hardest for me out of all the things i do because results show up after quite some time , i am a electrical engineering student btw
    3
  19990. I really like physics and suck mathematics. Still I like logic he he. Us finnish are good in mathematics when compared other lands. Our schools are good.
    3
  19991. You guys in america can fail 2 tests in uni and still go into next semester?! How easy that is haha. Where I live you can‘t fail, if you do you are kicked out and maybe even forbidden to study again in this major.
    3
  19992.  @horatioferra9836  Definitely, I can not see!! BTW math always scare me, but this channel makes it a bit friendly to me.
    3
  19993. Most of the time, I really take a paper and a pencil and try to workout through the "main" ideas. But casual reading caughts me sometimes. What annoys me (no joking or trying to be compared with the janitor from Good Will Hunting) is I can lay on bed with a analysis book, read a theorem, understand the idea, but I can't repeat or do the proof myself. But if I need to explain another theorem, based on the previous, I remember the main idea of the theorem (eg "all monotonic and limited sequence is convergent" implies the Weierstrass' theorem). This makes me think I'm a capybara :(
    3
  19994. Elon Musk???😭😭😭🤣🤣🤣🤢🤢🤢🤮🤮
    3
  19995. Hey Math Sorcerer, if you'll indulge me, I have a somewhat peculiar request. I've watched your video "Learn Mathematics from Start to Finish" and I was wondering, is there any chance you could recommend some highly rigorous and detailed books for each subject? I bought the books in the video up to the Intro to Linear Algebra book, but I was also wondering if each subject has an equivalent to the Michael Spivak Calculus book or the Discrete Mathematical Structures books, ones that are advanced, detailed, and intense coverings of their subject because this is the type of rigorous and deep material I want to find for each various subject if you could potentially suggest some books of this variety.
    3
  19996. Interesting 😇
    3
  19997. In Russia, such books are sold in kilograms for pennies
    3
  19998. Best content on YouTube!!
    3
  19999.  @TheMathSorcerer  currently taking differential equations. Wish me luck!
    3
  20000. Same here!
    3
  20001. I can sooo relate with this.... I'm always tense about the job I'm gonna get because of the competitiveness, and the general situation of the world these days. Choosing Maths/Science requires many years of study..and it can be very demotivating. Recently I've been doubting myself, because I dont know when my studies will be over and when I'll get a job to support my family. I had also been thinking if I made a wrong decision, and I should have taken business studies, a subject I have 0 interest in, just because getting a job is "easier", or I dare say "simpler", in that field. The competitiveness in the world, how fast it is moving, can do crazy things to you! I became way too stressed. Thank you Math Sorcerer, I needed this video. P.S: I just turned 16, and reading the comments, I feel lighthearted 😂 I admit, my age is less, but when you're living in an overpopulated country with tons of competition, there's alot of pressure....
    3
  20002.  @TheMathSorcerer  it truly is... But, now I've made up my mind, I'm not gonna stay here, the education system is absolutely insanely bad. So there's that... I'm just gonna go to a foreign university, preferably in Canada or US...who knows, one day we might meet each other:') That would be so amazing, you're my role model, and you've helped me so much in math and physics, and also in becoming a better person!
    3
  20003.  @TheMathSorcerer  yes some day! When I'm gonna earn money, I promise I'm gonna donate you alot of it! And that is a promise!(I never break my promises) Hopefully, that day will come soon You have helped me so much, and I can only repay you in a much lower, and much smaller form :)
    3
  20004. Quadruple Integral = The end of the world 🤣🤣🤣🤣
    3
  20005. Great video! Just waiting for blue's theorem now.
    3
  20006. I agree, when I was on deployment, my shift was from 1:30 AM to 1:30 PM. I did math the first four hours every day and that’s when I learned the most.
    3
  20007. OOOHHHH!
    3
  20008. LITERALLY a math prof that I had for 4 different classes XD
    3
  20009. I am a 100% straight man and I mean this in a friend sort of way but you have insanely beautiful eyes
    3
  20010. I learn Math because my dream Job :)
    3
  20011. I understand what your saying and mean and do but wish to see more of the equation but do not get the whole picture
    3
  20012. I need to brush up on the whole calculus series before i go back to school in the spring. You think this is a good choice?
    3
  20013. You should do a QnA
    3
  20014. I only had problems in calc 2. For some reason my mind seems to have truble digesting that. But it's still nothing compared to Real Analysis
    3
  20015. True that, didn't expect it to be that hard. Maybe it's just extra hard because of corona
    3
  20016. you dont even blink
    3
  20017. You are my hero!
    3
  20018. Yaay, great for self study! :)
    3
  20019. First view😍
    3
  20020. Thanks Amazon, very cool!
    3
  20021. oh man! hahaha XD
    3
  20022. the book Concrete Mathematics
    3
  20023. This channel is amazing and the host is so passionate and good at math. I just wish I could give him a personal brand make over!
    3
  20024. 👍👍
    3
  20025. math sorcerer: doesn't matter, nobody watches this 7,272 who watched this video: 👀
    3
  20026. ❤
    3
  20027. I’m an great full for your wisdom
    3
  20028. watching this in 2021 and its was so helpful thanks a lot l wish you were my teacher
    3
  20029. This guy is so healing. I love his motivation.
    3
  20030. I want to laugh but... if you remove the "I'm uploading this to YouTube" part, this is almost like some of the teachers in my school. Except that there is no one telling them to be nice to students. P.S. These skits are getting pretty good :P
    3
  20031. shouldnt those two fractions of A and B (at 3:05 ) be multiplied instead of added (to get the left denominator)? Dont really get this step
    3
  20032.  @TheMathSorcerer  Ahh my bad, had to review it! and thanks for doing it here, beautiful video by the way
    3
  20033. wait are those books very expensive in the west too?
    3
  20034. The Math Sorcerer Really, I find that video very very helpful ! I‘m in my first year and I have real analysis and linear algebra. :-)) Best greetings from Switzerland! :-)
    3
  20035. This is so accurate!
    3
  20036.  @TheMathSorcerer  what book you would recommend for statistics? my lesrninv bjective is to understand deeper concepts in machine learning and estimation theory
    3
  20037. You can find average speed by using this form 2v1v2/v1+v2
    3
  20038. Awesome!
    3
  20039.  @TheMathSorcerer  ah I see, I assumed they were disjoint. B can be an entire subset of A so A\B is still more appropriate.
    3
  20040. Always impatient for your videos
    3
  20041. Mine's also suspended till 31st March as of now, but it might be extended also. Reported cases is on rise in India
    3
  20042. I just came out of class and did not even understand what my teacher said but as soon as i saw this video i understood it right away Thanks man
    3
  20043. I want to learn Spanish and Portuguese. 🇲🇽 🇧🇷
    3
  20044. Hi MS, and thanks for all the content! Do you think (assuming a solid Algebra and Calculus background) that this book and the Ping Zhang book on transition to advanced math / proof writing would be a solid plan for a CS major to get ready for a supplementary course in Real Analysis?
    3
  20045. Hey man! I made an A in stats this semester thanks to your motivational videos. They really helped ground my perspective in the reality of hardwork. I loved stats so much I switched my major to data science. Orcs will rool da numbahs!!!
    3
  20046. You can read the whole book, do all the demonstrations, do all the exercises and yet do not understand what this subject is all about.
    3
  20047. Love this guy. "Only regret. Not doing more" legendary
    3
  20048. It's too easy 🥲🥲
    3
  20049. Hi , i like your youtube videos ❤
    3
  20050. I had forgotten. Very useful.
    3
  20051. 1) Joking: please stop doing these book reviews. I want to buy them ALL!! 2) Follow up to joke: I have some other books from MIR Publishing and I love them. They are engineering design texts from many years before the wall came down. Science, maths, and engineering transcend politics at a root level. 3) Stephen Timoshenko is one of my heroes..
    3
  20052. Physics and math books suggestions, I used to think math is not fun but my physics teacher changed my perspective on math and want to learn more, I flunked my math from elementary to highschool thinking I'm bad at maths and now I want to learn more about this subject. Thank to my teacher for opening my eyes he failed me last semester BTW but I learned my mistake and got a B in his class this semester, kudos to your work your remind me of my physics teacher on way of his teaching. Keep up the good work.
    3
  20053. Im getting bad grades and math is hard for me i think because i think because im trying to write with my ears and grasp my homework problems via my sense of smell...
    3
  20054. Can you do a video on the best math learning apps?
    3
  20055. Professor, what do you think of Thomas Calculus' book?
    3
  20056. Sometimes it’s also cool to read math books from the end to start, because you actually see what properties and results you finally able to prove by considering and proving theorems at the beginning of the book
    3
  20057. Do you also have videos on real analysis?
    3
  20058. In my linear algebra class, the professor showed an easy geometric way to do it. It is really easy to find matrix that coresponds to the rotation in a plane through angle x. Now we notice that any mxn matrix A can be viewed as a function f_A, where f_A(x) = Ax, where x is n-dimentional vector. In our case, the matrix of a rotation through some angel is a 2x2 matrix. We also notice that multiplying two matrices (assuming the multiplication is defined) corresponds to the composition of the transformations (f_AB = f_A o f_B). And there you have it. On the left side of the equation (f_AB) will be matrix of a rotation through angle x+y (We can use the initial matrix, where we substitute x+y) and on the right side (f_A o f_B) we multipy matrix of a rotation through angle x (call it A) with matrix of a rotation through angle y (call it B) assuming that the composition of two rotations is a rotation. Because of the identity f_AB = f_A o f_B we know that the two matrices are equal. That means element in the position (i,j) of the left matrix is equal to the element (i,j) of the right matrix. This proves the identities of a conpound angle (sort of). The problem is that we dont know that the composition of two rotations is a rotation. That is not easy to show. You have to know bunch of stuff about singular decomposition of a matrix. However, it is a nice geometric way to do it :)
    3
  20059. If you are wonder how to find the matrix of a rotation, you just define the transformation on the standard basis. It is easy to guess what happens to the unit vectors assuming you have some basic trigonometry knowledge. Once you defined it on the R^2 basis, it is defined for all vetors in a plane since it is linear. From this you can show that the matrix equals (cosx -sinx , sinx cosx) (result that is worth memorizing)
    3
  20060. I can see that at least two professors of Linear Algebra are alike 🤓
    3
  20061. you are a true sorcerer, thank you for saving me in differential equations
    3
  20062. Hay tantos libros y creo cada persona se adapta a su entendimiento . thanks.
    3
  20063. What are the numbers next to the names of the universities representing? And are group 1 just more prestigious schools?
    3
  20064. First
    3
  20065. I saw the video thumbnail last night and I get into work today (I work at a bookstore) and someone had ordered a copy of this book(!!!?!?!!!?)
    3
  20066. The only way to become even a mediocre mathematician is to strive to become a first-rate math person. That is just how hard math is. There are no geniuses math! Keep grinding, fellow Mathematicians!
    3
  20067. yo thanks man
    3
  20068. It's an absolute disgrace how sheep-like or herd-like human beings are: "duh, I do it that way because everyone does it that way ... duh" What I mean is that *every* math book has the same ridiculous set up for solutions: i.e. odd number answers; some have even less than that. Why? because of "dumb goy" (cattle) mentality. The way to really learn math is through working through countless questions *with* full solutions. Even just having an answer often is not enough for more complicated math. All these books can easily sell a full solutions manual with worked-out problems. A disciplined person would be a math genius if he or she solved problems with a full solutions manual beside him. I don't buy the excuse that "people are lazy and they will just copy solutions if given a solutions manual". I have the full "instructor's solutions" manual (worked out answers to EVERY question in the book) to both Thomas Calculus (14ed) and Stewart's Calculus 8th ed. ... and I have pretty much mastered calculus that way: I work through a given section, then go through the full solved problems.
    3
  20069. Procrastinated for a retake test and didn’t know how to do these😂 thank you for the video this helped
    3
  20070. Thanks for this message
    3
  20071. You cant study untill you love that subject by your heart
    3
  20072. Imagine buying a textbook only to discover pages you paid for are advertisements for other textbooks lol
    3
  20073. Thank you very much you are as good as my calculus professor because when I forget how to do some stuff in calculus right away I look it up on your channel and it helps me a lot. I was so delighted when I found out that you're doing linear algebra. If I knew that earlier I would stay math major 😔. You are a genius and your short videos are so helpful. Wishing you the best and hoping we'll have more teachers like you in the US.
    3
  20074. What disability do you need to hold the pen like that?
    3
  20075. A comprehensive book, but Algorithms + Data Structures = Programs by Nicholaus Wirth is better for beginners.
    3
  20076. Love the book reviews!!
    3
  20077. Very helpful! I have been watching your videos and I am now starting to get better in studying advanced mathematics than before! Love the video!
    3
  20078. Been grinding your videos for the last 3 days. Great stuff, watched your videos for DE and had a blast!! I am in Electrical Engineering and am using the textbook 'Engineering and Mathematics by Dennis G. Zill & Warren S. Wright', this one book was the BEST textbook I've ever had. It has it all, I have the 5th edition but their series are just great and your lectures are perfect in combination with the book. Very easy-to-understand writing and a lot of exercises. Highly recommend for ANY 1st - 2nd year engineering students. Thanks again for your lectures, hope you can do more of these in the future!! :)
    3
  20079. thanks from mroco
    3
  20080. Can you review a measure theoretic probability book?
    3
  20081. Awesome 😊👍😊
    3
  20082. What Media Offline means in 1:51?
    3
  20083. I'm terrible at Maths, I always have been
    3
  20084. first:)
    3
  20085. You are a life saver bro
    3
  20086. I believe this guy whatever he says
    3
  20087. Like it up my friends who hate math
    3
  20088. I didnt get this book til after my degree in computer science ended but man it is a great book
    3
  20089. Please consider the calculus books by Tom Apostol.
    3
  20090. It is as good as Spivak's Calculus. In fact both are not just calculus but also pre-analysis books. Unluckily it is too expensive for a student. The two volumes cost around 350 Euro here in Germany. 😒
    3
  20091. Wooot math
    3
  20092. Pomodoro never worked for me because 20 minutes is my peak time for most projects. 50 minutes works far better for me. I use the next 5 minutes to prepare for the next session, and I still have a 5 minute break before the top of the hour. Imagine limiting classes to 20 minutes. LOL (:
    3
  20093. Having seen the video yet. Just commenting to support
    3
  20094. I have had at least 1 professor said each of those
    3
  20095. Thank you so much for this well explained video. I was confused at first because our lecturer made almost every detail so complex. But you really saved my life and made it easy for me to study. I liked the way you gave multiple examples too!
    3
  20096. i was just talking to my class about this.. haha the future is a funny thing.
    3
  20097. Does the book have solutions?
    3
  20098. Why not use tabular method?
    3
  20099. I agree, I’m an engineer by training
    3
  20100. "I've also done several of the exercises, which I didn't do in bed." Hahaha! Thanks for that! That is very important advice.
    3
  20101. This is comedy gold
    3
  20102. Pi is a series. Holy crap! 🤯
    3
  20103. a teacher (I presume) hand writing the questions of an exam is pretty metal
    3
  20104. Omg, you really helpped me, thanks. Even if i can't understand you, 'cause i don't know a lot about english lenguage, but thankssss. ✨✨ Saludos desde México. 💗
    3
  20105. Appreciate the math love. Keep it coming.
    3
  20106. Maths doesn't have end
    3
  20107. I would ask you to review a book whose name I am not remembering right now but I have in the library I know. Let me get back to you.
    3
  20108. Really leagend
    3
  20109. This is a fun format
    3
  20110. Nice proof Topology is the best❤️
    3
  20111. Happy new year sir!!! One more thing is that i watch documentaries of mathematicians. This gives a more ground basis for love of maths. I feel that Euler, or Ramanujan, or so on are fellow humans like us. They are not some giants who come and enfore their math upon us. We feel willing to achieve too....
    3
  20112. Thank you! Very helpful!. I’m going to watch more and if you make more I’ll keep on watching these. You make it so easy for me to understand! I love that feeling when things click and you just learned something new. That is a gift and I appreciate so much. Thank you!
    3
  20113. Thanks
    3
  20114. you look like jeff bezos
    3
  20115. thank you so much for this video. i've been teaching myself languages and other things for a while and these mentalities have trapped me ever since i started. feeling like a failure really has demotivated me to quit altogether for months at a time. this video is just what i needed right about now. it's really validating to see that everyone else can experience this too. thank you.
    3
  20116. You know it is a mathmaticians who make those problems because he uses an acc lower than g in a free fall problem on earth 😂 no wo
    3
  20117. Lmao, my discrete mathematics professor is so chill, he'd even invite us for a pizza! 😄
    3
  20118. Hey Math Sorcerer😸 Could you possibly do an overview of what math people are required to do/what courses to take in Architecture degree programs and how proficient one is required to be as an Architecture major compared to a Math major? How would you rate the difficulty of the degree math-wise for somebody more attracted to the creative side of Architecture as a field? Thanks a lot. Love your content. 🤗
    3
  20119. First :)
    3
  20120. This is sounds like passion to me. And your friend's gift is a talent, and a talent and a gift are the same thing for me. "I'm able to enjoy teaching math", this is your preference. I believe finding your passion is much more important, and easier. With passion you can become good at whatever you choose. I don't believe that everyone have a gift, this is sound to me like a thing we can say to make yourselves\someone feel better. But it doesn't really matters, being happy with your choice is what matters.
    3
  20121. this is just propaganda spread by the government who don't want you to get smarter WAKE UP SHEEPLE!! this guy is spreading misinformation and lies!! everyone knows the best way to learn maths is practice for the people whose sarcasm processing unit is defective: this comment is a joke I love the math sorcerer
    3
  20122. Thank you so much
    3
  20123. Just like there are rules in the realm of mathematical reality (you know, there were the tetrahedron and other Platonic forms live), there are also rules of a higher order, that is, in the realm of spiritual reality. Golden Rule is one of them. The whole list can be found in the Sermon on the Mount.
    3
  20124. I'm taking intro to PDEs and Fourier Methods next semester, so I will keep that book in mind!
    3
  20125. I loved the example! Thank you^^
    3
  20126. ❤❤❤those are for you, Prof! I'm glad I found this channel, year or so ago.
    3
  20127. I was thinking in this problem for 2 days until now. Thank you so much!
    3
  20128. Could be a green screen
    3
  20129. Yes this video was very helpful. Under the concept and your illustrations to each of the examples.
    3
  20130. I'm a fan of Marsden's "Vector Calculus" text.
    3
  20131. I literally just did a problem like this. Saved my life
    3
  20132. Great! thank u a lot from El Salvador!
    3
  20133. You are absolutely correct...Having a role model gives you inspiration. I personally chose to major in math because of Grant Sanderson(3 blue 1 brown). That guy is cool and brilliant at the same time.
    3
  20134. It's not that I want to give up on math, but I literally need to pass every math exam, and there's a lot of pressure to succeed.
    3
  20135. Thumbnail 😂😂
    3
  20136. I fully agree with this entire video, good jon
    3
  20137. Good job! What I'm especially happy about is that you switched from math to CS. So much easier and more financially rewarding.
    3
  20138. Nice proof
    3
  20139. Book of Proof is a perfect book
    3
  20140. I was literally about to install League again when I saw this vid, couldn't stop cracking up, lmao. And it's funny 'cus my real analysis book is right beside me atm.... glaring.
    3
  20141. MUST include G Golub and Van Loan Matrix Computations!
    3
  20142. You know the author of of the dover book 'Essential calculus with applications' Richard Silverman wrote another calculus book named 'Modern Calculus and Analytic Geometry' (also a dover book). It is said to be proof based and just as rigorous as Spivak, but unlike spivak it covers analytic geometry and more topics (almost 1200 pages)You should check it out! Also Daniel Vellerman author of 'How to Prove It' wrote a calculus book 'Calculus: A Rigorous First Course' which is rigorous but also readable. Both have solutions and answers to the odd numbers excersises.
    3
  20143. Me sitting in honors pre-calculus with people that knows how to do math except me
    3
  20144. Courant books are classics and still, there aren’t recent books that are better. If you have a calculus course based on Courant & John it is almost a guarantee that it will be a good one. Writing mathematics as Courant is extremely difficult
    3
  20145. Hi. I was reading through Susana,s Discrete Math book and they said you need College Algebra as Prerequisite for this book . Should I start with book Without college Algebra or learn College Algebra first
    3
  20146. Very clear explanation 👍👍👍
    3
  20147. 👍👍👍👍👍
    3
  20148. thank you!!
    3
  20149. I loved Blitzer. I didn't end up using it to get started, but it served as a great kick-start that made me feel comfortable. Ultimately, I went with something a lot more obscure but for personal reasons. Consider supplementing this book with an old soviet book called "Algebra Can Be Fun" by Yakov Perelman and another book called "Algebra" by I.M. Gelfand. Edit: If you want a similar format but through the lens of "data" (which is something people who are interested in computers might appreciate), look into "College Algebra: Concepts and Contexts" by James Stewart.
    3
  20150. You should cover "design patterns" by gang of four
    3
  20151. Great
    3
  20152. It's what we say whatever we say will happen in some sort of degree
    3
  20153. Thanks for this lol. I just got done making some cabbage and apple soup when I need to be studying for that calc III exam coming up soon.
    3
  20154. 🥇
    3
  20155. Man, I love the way you make these short reminder, experience sharing videos. Very well done.
    3
  20156. Apparently, according to psychologists, humans have a limited attention span. I think Ridhwan has to remember & respect that. He can also apply the Pomodoro technique. 🤔
    3
  20157. that dude predicted the whole coronavirus situation
    3
  20158. There are some videos on his channel about that 😋
    3
  20159.  @Jean-Berry  yes! Even in the video description there's a recommendation for Calculus
    3
  20160. MS may I ask you what is your age ?
    3
  20161. This is a very precious advice I screwed up my semester (basically neglecting some subjects) and now Im lagging behind and I regret it. My exams starts tomorrow, and I'm just hoping for survival. Fortunately I had some time to crunch on the hardest courses and catch up, it is tedious so start studying from the beginning don't be like me!
    3
  20162. Me in tutoring I’m so sorry tutors x
    3
  20163. Here's an adition tip from me: Convience yourself to study for 15 minutes. Then as you've reached at the time limit, ask yourself if you want to study for another 15 minutes and convience yourself that another 15 mins would be worthy, then for another, then you'll have covered a 45 minute worth of material without realizing the time passed ;)
    3
  20164. Suggest some methods to deal with stress
    3
  20165. You are the best!!! You are my Timesaver.🙃
    3
  20166. Mir sounds like English mere not myrrh and means either world or peace. I have several Mir math books from my student days. They were very cheap especially contrasting to notoriously expensive publishers in Europe. As you may know, typesetting mathematical equations was very expensive and error prone prior to the advent of TeX.
    3
  20167. We hold these proofs to be self referential, that all men are equally created...
    3
  20168. I watched the whole thing waiting for comedy and I already knew the power rule
    3
  20169. There was about 45 people in my calculus 1 class, 4 people passed and 3 of them were on their second or third try. Oh boy I still have nightmares with that teacher, she scares the hell out of me
    3
  20170. I also highly recommend The Nature and Growth of Modern Mathematics by Edna Kramer.
    3
  20171. I have "Fundamentals of Differential Equations" 5th edition by Nagle Saff Snider, and I believe yours has some chapters that mine does not. On page ix in my preface under prerequisites it states that some Universities do not require Linear Algebra as a prerequisite, and this textbook was designed so that only chapter 6 & 9 dealt with Matrices. Man, yours looks like its in great condition!! Mine looks like it got pimped the ƒ out before I took it in lmao. (Yeah dude, I know that life lol. Its cool, I'm going to be good to this book!! ♡)
    3
  20172. first to comment ❤
    3
  20173. Thx a lot! Muchas gracias!
    3
  20174. Hey nice video. But won't you end up getting a=b everytime if you replace x with a and b in any equation?
    3
  20175. Please read the talent code by daniel coyle
    3
  20176. Again, thanks for what I consider to be another motivational video. The short answer, being self taught, would be... curiosity. The long answer would indeed be long. Thanks again for great uploads.
    3
  20177. Super sir I am fan of your teaching
    3
  20178. Great video
    3
  20179. Now
    3
  20180. So far the classes I need to take for civil engineering as far as math are Intermediate Algebra, College Algebra, Trigonometry, Calculus 1 through 3 with analytical geometry. Also, I have to take chemistry and physics classes to include the core engineering classes.
    3
  20181. Remember the smell of mimeograph!!!!
    3
  20182. I can do it
    3
  20183. I found your videos and thanks to you I been passing my Stat Class. Thank you
    3
  20184. BOUGHT FOR FRESH TREVIEW WILL AUTOMATE THIA MATH THANKS
    3
  20185. Thank you sir❤
    3
  20186. Ok but lots of math textbooks arent that great tbh. And the weakness for mine for precalc was sometimes not quite showing each step as well as they should, IMO.
    3
  20187. Bill Nye said its genetic.
    3
  20188. Hmm.. humanity studied dude pops up I'd be happy to see any interesting social statistics book. My field I studied is political sciences and stats and quantitative methods are involved. Also, now I can't unsee that video with all that crazy math books :')
    3
  20189. The hair is amazing!!!!
    3
  20190. Love short and sweet explanations to "why?" questions that may come up to things that feel obvious to subject matter experts! Keep it up Math Sorcerer!
    3
  20191. Very epic video, helped me a lot with understanding this.
    3
  20192. i can't do it :(
    3
  20193. Love from Sri Lanka 🇱🇰
    3
  20194. This math SHOULD be mandatory in every math school. Special functions is the door for higher math in applied science. Laguerre, Bessel, Legendre, Hypergeometric, Hermite polynomials and differential equations is a fundamental topic in mathematical physics. The book is a standard in the subject. There very good ones out there. Elliptic functions should be studied again in Math Majors and Physics Majors IN DETAIL, extreme detail. These subject should not be looked sideways.
    3
  20195. This video was everything I needed right now. Thank you, Math Sorcerer!
    3
  20196. I've also problem in this subject!
    3
  20197. I am a chess player; used to prepare for tournaments & take the game very serious. I can attest to the fact that playing chess can reach levels of intensity that are insane & burns massive amounts of calories and can be particularly hard on the body, especially the nervous system. Physical training has been tenet of professional chess at least since Botvinnik’s Russian school for this very reason. Competitively, physical conditioning can give one an edge if long games test endurance. Now, I don’t find this so much with math. Here is my theory: on a visceral level chess is a fight against an opponent. On a deep level this translates into greater allocation of energy resources to the brain & nervous system. We get greater stress, cortisol, & autonomic activity paired with rushes of dopamine. It’s a fight.
    3
  20198. Stats stud here! There's a cheap print of this book if you're broke college student like me. I used this book solely exercises and 2nd resources. For studying stats theory I recommend "Introduction to Theory of Statistics" by Mood,Gray,Bill, when things get complicated, I go back to this. This book is very understandable, but Statistics Theory is a rabbit hole.
    3
  20199. Can you do a similar video but for a 3x3 set?
    3
  20200. Do you have to learn Calculus before learning Statistics? Excellent video. Please do a video where you define all of the vocabulary you used in the video.
    3
  20201. AMAZING, THANK YOU
    3
  20202. Not sure if this still holds in the internet age: students can just go online and search for the solution.
    3
  20203. thanks you for the words of advises, its help me to go though these taught times!
    3
  20204. you're a cool dude
    3
  20205. 😊🥰👍😀
    3
  20206. If you're a good listener, then you can afford to not take notes. Notes do help though. + do you have any books on lattice theory? It is added to my discrete math course which I find kind of strange.
    3
  20207. I thought it said “Everything You Need to Age Computer Science and Coding…”
    3
  20208. Thank you 😌💖
    3
  20209. Attitude Concentration Effort
    3
  20210. It helped to know that it was a way to make approximations, to take the machinery that will go forever, mired in its precision, and just sand off the edges and present it neatly. Not sure how accurate that is on the underlying systems but it helped make it make more sense
    3
  20211. Not even cubans drink that much espresso
    3
  20212. does it matter what edition of a book we get?
    3
  20213. There are always people who know things you don't. It'll save your time having a connection with them, although you can certainly find out such things by yourselves
    3
  20214. The best comment section ever!!
    3
  20215. Great...
    3
  20216. I needed this example
    3
  20217. I will always train my brain to think like a genius!
    3
  20218. Thankyou. You very well defined word karma.. I am from india
    3
  20219. Very good lecture!
    3
  20220. Taking probability theory and linear algebra this semestre along with 4 other classes and I feel stressed. Probability hw alone takes me more than 5 Hrs per assignment. I just feel so stupid and inadequate. Everyday I think about switching majors, but I’m so addicted to the “Aha” moments and want to prove to myself I can get a maths degree.
    3
  20221. ❤️❤️❤️❤️❤️
    3
  20222. 9. Give Help
    3
  20223. This guy is wildly informative. Math was so hard for me to learn up to a Calc 2 level. I just want to help a few people have an easier time with math because I only got as far as I did with the help of teachers and friends.
    3
  20224. Always waiting for your videos sir
    3
  20225. Great Video as always! I love how many applications differential equations have, great fun.
    3
  20226. Super basic advice that seems to slip past most of us. Videos like these are a brief and genuine reminder that you have potential to be, at least, more than you are right now.
    3
  20227. Merry Christmas❤ Thank you for helping us to understand life better.
    3
  20228. Great vid as always 😊
    3
  20229. How you mess up with a ruler! 🤣🤣🤣🤣🤣🤣🤣
    3
  20230. Thank you for sharing!
    3
  20231. Full sorcerer knight build STR +99
    3
  20232. The Math Sorcerer thank you very much. By the way I love your videos they help me a lot
    3
  20233. Excellent video.
    3
  20234. Hi there! It's simple but unique because simple ideas rarely hit our consciousness. Great advice. Thanks & regards.
    3
  20235. You've literally made this video at the right time for me
    3
  20236. Thank you
    3
  20237. Thank you this helped a lot!
    3
  20238. Great tube, this was all new to me, thank you!
    3
  20239. I've been hoping to learn calculus but I was feeling a bit intimidated by the huge book and all the equations. But I code 3d hobby computer projects, and then you mention that points on a plane have a dot product of zero to the normal I went, "yeah obviously". So maybe some day I'll think the same thing about calculus.
    3
  20240. dragon book next
    3
  20241. How can i teach myself if i don't understand the concept in the first place?
    3
  20242. You are a genius and an amazing teacher. This is so much better than the wy I was taught and gives me less if a headache omg!! Thank you! aNd thanks to your students for their willingness to allow filming + thanks to your cameraperson!!
    3
  20243. No, in the USA at least, it’s pretty common to apply to a PhD program after finishing an undergraduate degree.
    3
  20244.  @dAntony1  Lol, that is super weird.
    3
  20245. its pretty funny how this is recommended to me, because i'm covering compactness of topological spaces right now lol
    3
  20246. In a game (especially a moba game) If u can practice a very hard hero or champion till ur very very very good then u can practice maths like that too and only then will u be good in maths
    3
  20247. Thanks
    3
  20248. Helpful in Norway.
    3
  20249. SPEED
    3
  20250. Thank you for these videos. I enjoy math so much but have down times thank you
    3
  20251. Just a humble suggestion. I've noticed that you have a lot of books on math. Would be great if you can classify your books by subject and topics in order of difficulty and quality. It would be some sort of an inventory so you can share your lists or simply show your books in systematic videos. This could simply be amazing since we could use this channel as an initial database. For example, Calculus, Calculus 2, Calculus 3, Vector analysis, Vector calculus, Tensor analysis, Tensor calculus, Real Analysis 1, Real Analysis 2, Elementary Differential Geometry, Advanced Differential Geometry and so on. This will be great for us viewers and of course for you. A section of solved problem books would be great too. I know these exists too.
    3
  20252. You have hair like Newton
    3
  20253. Thanks for the video. I understood right away
    3
  20254. Hey man let's start a band you look like a rocker good video❤ appreciate you man😊
    3
  20255. new camera? loving the new look!
    3
  20256. Heyy!! A small doubt.... What do we do when there is a higher order equation after factorizing denominatior...... Like (x-1)^3...... Great video by the way 😇
    3
  20257. What do you think about the book Precalculus: Mathematics for Calculus, by Stewart, Redlin and Watson?
    3
  20258. Math is brutal. What I like most about math is how it punishes false assumptions. For example, the series with 1,-1 equalling 1/2 or "sum" of all naturals equalling -1/12 (see Footnote). There are no weird exits with math such as appealing to ignorance or popular opinion. If a proposition is proved, then it's true, regardless of one's personal opinion. And even more, true statements may only be inferred from true statements (this is a property of logic). Math is really really hard. It has to be. If all of math was trivial, then it likely wouldn't be as interesting as it is. Not only would "everyone" do it, but we would all be wasting time on trivial nonsense. Footnote: for a series to converge, it is necessary for its general term to converge to zero.
    3
  20259. Second One here. Lets gooo!!!
    3
  20260. Bro How often Do you workout? Those biceps aint playing around
    3
  20261. Studying for my first actuary exam, this was a good message
    3
  20262. The Math Sorcerer thank you!
    3
  20263. Encouraging professor to average students!!!!!!
    3
  20264. I'm getting there (but I'm motivated).
    3
  20265. Hey Math Sorcerer! I was looking for a video for my Discrete Math class and I was happy to see you pop up! I should've checked here first. This video was extremely helpful and I love all the hardwork and effort you have put into your educational videos. Thank you so much! I love all the funny videos too!
    3
  20266.  @schrodingcheshirecat  Hello, and thank you for replying! I believe waiting for a copy to emerge is the only thing one can do haha since 95% of the books we need are slowly being taken out of print :( Really messed up man.
    3
  20267. Thanks for motivation!)
    3
  20268. Try final fantasy 14. Heavy recommendation, buy jump potions
    3
  20269. Clear explanation
    3
  20270. I’m really happy to see your channel taking off! I remember subscribing when you were only in the low hundreds of subscribers, and I am very happy because of it! It gives me hope for my channel with its super small subscriber base (at the moment :)).
    3
  20271. this just demystified all the issues I was having... thank you
    3
  20272. Looks more like a mechanics exam. Not necessarily difficult when you have studied for it and have the calculation techniques and formulas ready, but for a navy exam it indeed looks tough. Well it depends on if this was a test pretty much everyone had to take or not. I think the difficulty is being overstated here in the comments. Its just old notation, today unusual (but necessarily harder) material.
    3
  20273. Dummy thicc
    3
  20274. Harry potty
    3
  20275. Mathematics is a set of concepts, operations and manipulations, many of which are abstruse and not at the front of everyone's mind. When Americans say they are no good at MATH they generally mean Arithmetic. The introduction of electronic calculators int schools in the 1970s
    3
  20276. Thank you very much! Really good advices❤️
    3
  20277. Wow ! Seems interesting. Thanks for sharing about all those books Sir.
    3
  20278. Thanks for the tips in mathematics
    3
  20279. Hardwork beats talent when talent doesn't work hard ✌️✌️
    3
  20280. Make more of these videos please
    3
  20281. What's wrong with the camera OH MY GOD
    3
  20282. If maths is hard, then you have to struggle and pull through. Tackle maths by practising exercises regularly. If you fail, always persist rather than give up. If you fail again, persist again. Mistakes are part of learning. 🙂
    3
  20283. You are right. But what if failures cause you to get kicked out of universities, thus causing you to lose precious time and a tremendous amount of money, and causing regret that will never leave you until you die? Sigh! 😭
    3
  20284. I’m already not good at math to begin with, and what adds to the problem is that English is not my first language, so I find it very difficult for me to understand the lectures. What is hard for a regular person is 1000x harder for me 😩
    3
  20285. Coffee gives me Anxiety. I have largely switched to tea. There is a substance naturally occurring in tea leaves called L-Theanine which can reduce anxiety. I find it is especially useful to have L-Theanine supplements with coffee. Also, I have found that I feel much less jittery and stressed if I have some food with my coffee, specifically it is best to have something with healthy fats in it like grass-fed butter or coconut oil. Fat slows down the metabolization of caffeine and it makes it a little easier on you. I am linking an article on using L-Theanine for stress and anxiety, sometimes just being calm can help me focus better. They sell it at my local drug store in the section with the vitamins, but it is also available online without a prescription, and it is not habit forming. Also, you can just have some tea, but there is only about 10mg of L-theanine in a cup of tea and about 200 mg in the capsules. A healthy meal, some caffeine, and maybe some L-theanine are my go to for having a calm and productive session of studying in a calm, distraction-free environment. Also, remember to drink plenty of water, exercise regularly, and get plenty of sleep. https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6836118/
    3
  20286. Hippocrates said, "Walking is man's best medicine". You don't have to become a powerlifter to get benefits from exercising. A thirty-minute brisk walk every morning is enough to increase bloodflow to the brain, reduce depression, heart disease, and anxiety. A nice walk in the morning every and a tall glass of water will substatially improve your outlook and focus. https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3501820/
    3
  20287. Awesome
    3
  20288. Merry Christmas
    3
  20289. What books you suggest for Calculus 1 and Calculus 2 to practise from, I mean containing a lot of technical problems..?
    3
  20290. Hey bro it's true
    3
  20291. Got my 2nd abstract algebra and number theory exam this week. Good to hear this haha!
    3
  20292. But in 2023, we should have refined these concepts even more and made deeper insights that you wouldn't get by reading this book, or maybe there exists an even more bleeding edge book on these concepts that you could read instead? Just wondering.
    3
  20293. lol true and i love the joke.
    3
  20294. So problem solving does not prepare you for the real world; nah! Unlike today, 40-years ago I was not very successful in mathematics. That stated, I would tell my system software developer colleagues that math accomplished one thing: it taught me how to think clearly, pattern recognition, etc. Now, having recognize the nature of my failure in mathematics decades ago, I have since earned a mathematics degree and tutor mathematics and physics to college students. In terms of tangible resources, mathematics is likely the cheapest way to hone one's problem solving skills, using disposable goods such as pencil and paper.
    3
  20295. Bro make video on complete physics from start to finish and for chemistry also... please
    3
  20296. Thanks for sharing Sir.
    3
  20297. Thank you!!
    3
  20298. ill sub
    3
  20299. Another great video! Thank you 😊
    3
  20300. I don't know if anybody has commented on this, but that is THE Ron Graham who is one of the authors (RIP). Hiw wife, Wendy, is still active.
    3
  20301. I had commented for this video🎥 you are amazing😍🤩
    3
  20302. I solved the “super hard” problem by my own :). Have a nice day everyone
    3
  20303. thank you so much for your recommendations.
    3
  20304. I go to the EPFL in Switzerland, here the bachelor degree is 3 years and the master degree 2. And at 11-12 we are already separated between children so people who go to uni have been on a faster programme from 12-18 compared to other countries such as uk where everyone is together until gcse / 16
    3
  20305. My brother in mathematics, you can’t be mogging on your fellow math folks 😂 Thanks for the book recommendation and congrats on the gains 💪
    3
  20306. One of the greatest ways to study math is to not study math. Do a deep dive into anything else that interests you. One of the most beautiful aspects of math is the interconnectivity you perceive between everything.
    3
  20307. Don't worry about the pandemic, you don't know when it will end. Go for it, live your life.
    3
  20308. Very helpful, thanks
    3
  20309. I enjoy programming, math and data science. But I am majoring in Math. What about it?
    3
  20310. I looked at the price and wondered when Amazon started doing Black Friday sales on Real Math Books but no that's the Real (non-Imaginary) price
    3
  20311. I'll be back 10 years from now
    3
  20312. Ode and pde books please
    3
  20313. Yeah more philosophy videos please. Great video.
    3
  20314. Yeah, but, 60 years?????? Come on.....I'm slooooow. But I don't give up!!!!
    3
  20315. Thank you so much for your videos. I have grown to love math and even enjoy tossling with a problem unti I solve it. I won`t give up :).
    3
  20316. What a good video.
    3
  20317. Happy New Year :D
    3
  20318. Hey math sorcerer can you review functional analysis by Peter lax and infinite dimensional analysis by charamlobus d aliprantis as well as functional analysis by erdogan suhubi. These books 📚 can be treasured in your library 😁
    3
  20319. Awesome ✌🏽no need to apologise 🙌🏽
    3
  20320. Great!
    3
  20321. What about book 1 to 5?
    3
  20322. Is that so? Fine. Would you be my mentor? I study with books I looked up for on my college website (its math department) and I am using "Técnicas y Fundamentos básicos en Matemáticas" I "learnt" how to prove results with a book going by the name of "How to read and do proofs", a book given to me by and spanish mathematician on youtube. I am commited to this but I am not virtuous. I won't ever be as cool as Gauss but I might as well become very impressive with a great mathematician as you as my teacher.
    3
  20323. The thing is, there is nothing preventing you from joining the club.
    3
  20324.  @TheMathSorcerer  ah I see, thank you 🙇‍♀️
    3
  20325. I was doing so well until I discovered your channel. One of your tubes was a trigger. Tomorrow Amazon is delivering one of your suggested books on Real Analysis. Turn up the music, let the party begin...😎👍😎👍😎👍
    3
  20326. i lowkey needed to see this today, thanks Math Sorcerer : )
    3
  20327. I agree, Calc 2 was rough. I never understood the how and why of Series, other than accepting that one could get a close approximation with a few terms. Still did OK, was a lot of work and new concepts.
    3
  20328. I'm currently failing my Calc 1 course. These videos are really giving me the value and guidance I need. I will update this comment by mid to end of may and let you all know if I passed.
    3
  20329. Who said that math teachers don't play LOL?
    3
  20330. There's this cool channel called MIT OpenCourseWare and it's a bunch of lecture series from MIT on all kinds of topics
    3
  20331. Hi! which books to read before facing Royden's book?
    3
  20332. Read baby rudin ("principles of mathematical analysis") if you can do proofs in calculus and "linear algebra done wrong" by treil. Both are available online. If you can't do proofs in calculus then read and understand spivak "calculus" and ch. 1-3 of spivak "calculus on manifolds" before attempting baby rudin
    3
  20333. First comment today
    3
  20334. Out of the three books, which one is the best for self-study?
    3
  20335. did u purposely wait for a rainy day to do the window shots? It really enhanced the effect ahahaha
    3
  20336. I applied to 23 and got into 4, although I might've gotten into more if I told the ones that waitlisted me that I was still interested. US news rankings are questionable since I got into UIC (committed to) and Texas A&M but for some reason not UMass, Northeastern, or CUNY. I suspect that midwest schools might've been less popular this past year, but thats just from the data that I've seen. Do apply for as many as you can afford to, though.
    3
  20337. Gracias!!
    3
  20338. I just purchased a "Engineering controls and control systems" from 1957. Im in my controls class now and its weird. Root lucust plots are crazy
    3
  20339. The music 🤣🤣🤣
    3
  20340. What but you recommend for introduction to Real Analysis?
    3
  20341. A Radical Approach to Real Analysis - D. Bressoud.
    3
  20342. I hope you do a video someday on "Physics by Robert Resnick and David holiday" from the 70s, it has a green cover (you already have it).
    3
  20343. lol i stopped playing LoL cause i entered university and started learning math, still got my s8 challenger bag though
    3
  20344. Thank you sir.
    3
  20345. You need a portrait of Euler on your desk!
    3
  20346. It's sooo famous in india everyone recommends it for inmo
    3
  20347. Ohh thanks alot i was confused by the statement in our book "every differentiable function is Countinous, but not every continues function is differentiable".. ur reply really helped me🤗
    3
  20348. Really love your talking videos, listening them while i`m walking near the river
    3
  20349. I want this guy as my math teacher.
    3
  20350. Ive seen math degrees accepted for software jobs just as readily as comp sci degrees, depensing on the situation. My schools applied math/mathematical modeling concentrations have lots of coding and software programs integrated into their courses. We use lots of Python but they do have other languages available too. Not sure of the full list just yet. And plus I bet some employers would love to have someone with more analytical tools/math classes under their belt.
    3
  20351. So Ethan says no need for notes; just understand things and stuff and move along using your great and powerful memory of remembrances. Good going Ethan; as an 80 year old with several STEM degrees and still in the tech industry I want to congratulate you on your superior mind and having no need for the empathy gene. I'm guessing you're either a 15 year old ready to show the world or (I'm struggling to keep it civil) an educational dufus. No notes? Then why computers? Why the academic internet? Why the coming A.I. tutorials? According to Ethan our instant understanding which is complete and continuous without ever falling into "Grand Canyon" gravel pits of end-of-life hopelessness has no need to fall back to a life-line of notes. Sounds good to me. GO MEMORY! (Quick - what's the sixth root of Pi?) I must admit that I admire your enthusiasm and perhaps brilliance as a mathematician. but you represent the educator's harsh ideals of the 1700's to mid-1900's. You are in fact, sir, a DANGER to students. If you're going to teach others not to take notes you might as well teach them to disdain writing. Do us a favor by wearing a sign warning the prospective student: "Welcome to Mathematical Discouragement City."
    3
  20352. Isn't this Archemedes's Contradiction (one of them) that if you walk towards a wall, each step being half of the step of the last, then you will never reach the wall.
    3
  20353. Thank you for sharing that book! :)
    3
  20354. i love your skits :D! hope your happy and healthy!
    3
  20355. Thank you very much sir. Helpful video.
    3
  20356. Nice advice man!
    3
  20357. Great one
    3
  20358. Thank you for your videos. Great material.
    3
  20359. I have a question: so say the test point was true and you shade in the middle how would the answer look?
    3
  20360. First
    3
  20361. This was a game changer. Thank you!
    3
  20362. thank u bb, your video saved me in the middle of an examen
    3
  20363. What happens when the denominator isnt always positive? For example in this 3n-1/4n^2-2n-6??
    3
  20364. Great book review
    3
  20365. This helped me, thank you! 🙏
    3
  20366. Love your energy! Helpful video too.
    3
  20367. 2:57 he couldn't resist the urge 😂😂
    3
  20368. thank you so much.I´m using your chanel to study english and to become a better person 😃
    3
  20369. If a humanities prof taught a math class
    3
  20370. Need tinder/bumble for lonely STEM folk...
    3
  20371. Keep going with these videos.
    3
  20372. Bedankt
    3
  20373. thanks so much
    3
  20374. Your english isn't that bad. It seems fine to me. Keep working at it and you will eventually figure out the little grammar things. It takes time.
    3
  20375.  @alexandertownsend3291  tank you 🌹Alexander
    3
  20376. Sir can u do more book recommendation?
    3
  20377. I have a question and please don't take this up as an offence, but I wondered if you, besides maths, are interested in another science or non-science subject. It's just that we get to see this all mathematical side, but maybe there is another too.
    3
  20378. I get worried when I hear someone studying this much per day. I realize that these hours are not all active, and must include breaks, still this is too much in my view. When you are young you dont realize that burnout is a real risk. I have first hand experience of going through a real horrid time after burning out. Recovery can take years. - That said I believe you can study pretty darn hard without burning out, especially if you have never burned out before or when you are young. - Study up on the most common study techniques, pomodoro is a must. - I suggest an obligatory walk or run most days, or some thing totally different to perhaps cut your days into parts. If you went for a run and are sleepy afterwards, you ran too fast, dont do that. - I suggest watching some series that intrest you or some movies after your day is done, to clear your mind or kind of give yourself a mental reset. Trust me this is obligatory. - Sleep as much as you can, but try to keep your sleeping hours constant. Sleep is your foundation. - Gradually figure out what food works best for you. Some food will make you sluggish. I suggest low carb, non processed food. - I suggest to you only around study 10 hours, or less. But do make an effort of keeping the study intense, and concentrated. So when you are working you are focused on work. And when you are not working, practice relaxing your mind. Being able to relax and turn your mind off becomes very important as you age and you get more responsibilities and stress in your life. - Im forgetting lots of things for sure, but Im sure you will figure out your own way. - Remember you must rest to allow your brain to internalize what you have studied.
    3
  20379. thanks!!!
    3
  20380. A four-word horror story: "This is Calculus 7"
    3
  20381. Plane trigonometry by SL Loney
    3
  20382. This is such humble and great advice! You made my day, thank you! I started doing math again. Even though I work in a completely different field, I'm motivated to push myself through the classes I already took during my apprenticeship as a draftsman. I want to reach a new level. My mind feels so good working on this without the noisy classroom environment from my past. It’s a different feeling now, and I really enjoy it.
    3
  20383. Excellent performance and knowledgeable video
    3
  20384. Keep it up
    3
  20385. Oh my gosh... now I’m scared, I have to take calculus II this fall. I did somewhat okay in calculus I. Basically I did fine with the first couple of chapter. Limits, derivatives, anti-derivatives, and couple other topics. But some I struggled with greatly... my question is will I have a chance in passing calculus II even though I struggled a bit with calc I? I’m also looking into going over some calc I material before school starts, is there anything in particular I should focus on, that’ll be vital in calc II?
    3
  20386. Thanks for the book recommendation. I'm a beginner in math and I want to go through your math video playlists...do you have a recommended order? Thanks!
    3
  20387. Ok, American books are superficial and not serious. The best is to me Alonso Finn for general physics I. Irodov problems are very challenging And Berkeley too but not complete and not well organized, innovative sure
    3
  20388. This is so true I couldn't understand really what you mean but hopefully we will continue this course and may get the point.
    3
  20389. Thanks for you intelligent
    3
  20390. Cool, I knew about Tom Apostol’s calculus texts (for years known at Caltech as “Tommy 1” and “Tommy 2”) but didn’t know he also wrote a more advanced text on mathematical analysis. Incidentally, the “t” in “Apostol” is silent, so it’s pronounced like the English word “apostle” (which of course also has a silent “t”). You can hear the pronunciation near the start of this video from 2013: https://youtu.be/6imVZ7ogpAE
    3
  20391. "I have like...ten of these."
    3
  20392. Are you gonna do the giant number video?
    3
  20393. Thank u so much! The video was informative and inspirational for a new Maths amateur
    3
  20394. Thank you ❤️
    3
  20395. you are so sweet
    3
  20396. Thanks for the video.
    3
  20397. No math videos even?!
    3
  20398. I didnt see a pre calc class on your udemy. Do you have one available?
    3
  20399. That stare is intense man... great video anyways!!
    3
  20400. Wow, I never heard about the requirements to learn one of the scientific languages. I hope the academia will not support a ban on everything Russian.
    3
  20401. This deserves a sequel
    3
  20402. I think the sweet spot is about 5-6 hours
    3
  20403. Second here, but haven't watched the video yet.
    3
  20404. Thank you very much! When I'm about to give up, quit, or skip and postpone hardships; I read this quote from Paul Halmos every time: What does it take to be [a mathematician]? I think I know the answer: you have to be born right, you must continually strive to become perfect, you must love mathematics more than anything else, you must work at it hard and without stop, and you must never give up. - Paul Halmos
    3
  20405. Replace the a with an e and the answer is yes
    3
  20406. Switch off your Smart Phone its the Enemy ...
    3
  20407. Surprised that no one has commented on this video. Thank you very much for the explanation! It was very helpful.
    3
  20408. Thanks
    3
  20409. Really nice book. I have started my graduation with this book.
    3
  20410. Love this channel. Thank you so much for making this content and re/invigorating and empowering so many of us to be curious about math.
    3
  20411. Hi！I think that you are handsome！And，you look just like a super star：Mike Clevinger！（ A team member of Cleveland Indians in MLB！）
    3
  20412. 225 lbs bench sheeeet nigguh you be packing n sheeeeee
    3
  20413. Nooooo
    3
  20414. i am an engineer and comfortable with applied calculus but whenever I try to study real analysis ,I get stuck ..it seems i know things but there are proofs for topics that appear to me as trivial . 😂
    3
  20415. What do you think of Linear Algebra by Meckes?
    3
  20416. I dont ever give up - elon musk
    3
  20417. But not every elites are Math people
    3
  20418. You’re a legend.
    3
  20419. Found this edition. Seriously, every time you post a new video my wallet flinches expecting more abuse.
    3
  20420. Thank You Sir 🙏
    3
  20421. Hmm... lovely delightful mathematics. Could practise it all day if I had the time.
    3
  20422. I noticed you skipped sections 5.1 and 5.2, specifically the chapters about Linear models and Initial Value Problems (Simple harmonic motion, undamped motion, angular frequency problems). Would you be open to making a video about these topics?
    3
  20423. Full disclosure: my mind immediately went South when I first read the title of this video. Interpret that as you'd like. lol
    3
  20424. What do you think is the hardest math class for a phd student?
    3
  20425. Last name is pronounced (Air - dish) . 🤘🎸
    3
  20426. Really very helpful lecture...... 🙏🙏🙏🙏🙏🙏🙏🙏
    3
  20427. YEEEEEEESSSSSSSSSSSSSSSSSSSSSSSS
    3
  20428. You’re so good on explaning
    3
  20429. I was told today because I am .01 away from the GPA requirement I am not allowed to declare electrical engineering. But if I was in the program I could drop all the way to a 2.0 and still be fine. I have 3.4 and despite me having passed differential equations, multi variable calculus, circuit analysis and electromagnetism simultaneously they still will not allow me to declare. On top of handling a sexual assault case involving a professor. It’s been awful.
    3
  20430. Thank you, sir. Incredible explanation.
    3
  20431. Sir can you please make a video on college level international maths competitions.
    3
  20432. Wow thanks pro You can help some book if your get pdf
    3
  20433. Thanks 👍
    3
  20434. If you're snagged in mathematics it's like entanglement in an insane thorn patch grown [& groan] over an abyss and a great failure to recognise why ABSTRACT FALSE IDENTITIES stick in the mind like pestiferous alien burrs. The "laws" of identity, non-contradiction, tertium exclusi, sufficient reason etc are links in MIND-FORG'D MANACLES = chains voluntarily worn to ratify mortality & to fasten the spirit as a FALLEN ENTITY. It would be insane for a deep-sea diver to identify with his suit & not to know that by ascending one steps forth weightless in comparison & free, whereas the mathematician is burdened by SPURIOUS INFINITIES & the incompletions of finitudes & infinitudes. As a boy super-genius I was outed by UK Mil Intel as equal to WJ Sidis IQ 250-300 & created Non-Cantorian set theory, infinite sentences & transfinite fractions - see the YouTube BBC film The Lost Genius, tho' the maths contribution was cut as uninteresting - and won a scholarship in the foundations of mathematics, with testimonials from 10 top academics. Mathematics is like a demonic maze which calls on its proponents to exit its confines by finding TRANSFIGURATIONAL CODES - i.e. - by knowing the requisite DEIFIC FORMULAE as trans-migratory from mortal to immortal. I have occupied the past 50 years by writing the largest illustrated book since Leonardo & I live as an artist in Italy [see Dolcedo Art of the Thunderbolt Ground-floor & Mezzanine] & the ongoing volume contains advanced views on mathematics, logic, philosophy, theology, art, literature etc. I did a large painting several years ago called THE MADNESS OF MATHEMATICS, featuring Cantor, Frege, Goedel, von Neumann et al. Some of my stuff can be read at Academic.edu & there are various films on the net. Wake O sleeper & rise from the dead & Christ will give you [INCREATE] LIGHT.
    3
  20435. 👍🏽 nice. Thanks.
    3
  20436. Regarding "ALLLL the books". What is the approximate average portion you have read over all your math books? I always end up only reading a portion of the technical books I buy, which always makes me feel guilty and thinking that I have to read the books I buy cover to cover. But maybe it is ok to only read parts of it?
    3
  20437.  @TheMathSorcerer  Good to know, thanks!
    3
  20438. I wish I was this smart. I have a question for you: so you seem to know a lot of mathematics, and its like youre doing it just for fun, its kinda useless ?! Why don't you try to apply your knowledge in the real world, physics or cosmology ? (no offence, this is how I see it). Keep it up!
    3
  20439. You look like sir Isaac Newton 😄
    3
  20440. Math Sorcerer, I have a different sort of question for you if you don't mind. I am in a creative writing class, and no matter how much I seem to try, I can't get a hundred percent on my poems (I get like 95-96). In my math class, this sort of thing clearly is a non-issue. Do you have any tips on how to maintain my sanity when I seem to be getting arbitrarily marked down on things?
    3
  20441. Thank you very much 🥰
    3
  20442. You should show top Apostol calculus books
    3
  20443. Thank you so much sir
    3
  20444. Can you made a video on physics books for self study
    3
  20445.  @TheMathSorcerer  Electrical engineering/machine learning.. don't ask me how I mixed them together 😛
    3
  20446. Thanks
    3
  20447. Definitely more non-textbooks please. Principia, etc.
    3
  20448. You make math so much fun. I wish you were my math teacher. In a way you are, just liked and subscribed to your channel :-)
    3
  20449. You have given a new life to my lost soul in my endeavour in mathematics. I am really amazed with your idea of mathematical happiness. Yes! It is all about personal happiness when one can understand and make sense of what he/she is doing regarding math in this case Thank you so much! You have brightened and given hope to many lost souls to regain this mathematical happines I truly believe! Indeed... "whomever saves one life saves the world the entire" I truly wish to meet you in person one day. Oh ya... Merry Christmas to you. God bless!
    3
  20450. It's the Bible!!!!
    3
  20451. You are my favorite math teacher.
    3
  20452. Please where can I find the books recommendations list?
    3
  20453. Oh no. Where is Tom Apostol? 🙂
    3
  20454. So which Dover topology book should I read first? INTRODUCTION TO TOPOLOGY or ELEMENTS OF POINT-SET TOPOLOGY?
    3
  20455. Caclulus by Thomas Finney is a super good book with applied engineering examples of maths phenomenons
    3
  20456.  @EssentialsOfMath  Thank you so much for such a detailed response. It definitely has given me things to think about. Like you said, I shouldn't force anything like that too quickly, and I won't. The idea of me trying to find proofs for the things I am currently learning about is not really something I've done as much as I should, because I wasn't sure if there was any reason behind it. I'll definitely try doing that occasionally, especially with me being at home all the time because of quarantine and stuff. Thanks again for your response!
    3
  20457. OK thank I like it will help me lot this is the day that I pass every exam thank you I have learn it from you you my master I am doing fimel exam THANK YOU!!!! You have a point
    3
  20458. Wow you are haveing I point of true love him
    3
  20459. Thank youuuuuuuu
    3
  20460. This is so good
    3
  20461. When you say "advanced calculus", do you mean Calc 3? Or is it beyond that?
    3
  20462. This video was posted eerily soon after my undergrad linear algebra exam 😅
    3
  20463. Merry Christmas to you. I am just having my Christmas dinner now.
    3
  20464. I recently picked up Advanced Calculus by Kaplan. It's a nice book. Starts with vector calc, goes into infinite series, then DEs and PDEs. I'm not going to read it, although it is a nice book.
    3
  20465. I love this one dude. Thanks so much
    3
  20466. The wording of the email itself is very worrying. First of all, why is the goal to answer "all IMO questions" and to get to an "undergraduate level"? The truth is that both these goals are ill-defined and possibly ill-conceived. Mathematics is a subject that is vast and forever growing. As someone who has gotten to an "undergraduate level" and is doing graduate level work, I now know that there is no such thing as an "end" in mathematics. Even when studying mathematical physics, there is always more levels of abstraction, always more complexity to be revealed. In other words, there is no end to what we can learn. The IMO and Putnam are good exercises for problem solving techniques and applying abstract mathematical notions, but they should not be seen as "end-goals". These are just competitions, and math is not about competition, but rather LANGUAGE. To spend 15 hours a day studying only mathematics will only LIMIT one's growth, as much of mathematical intuition comes from exploration and the application of mathematical ideas to one's everyday mode of thinking. Indeed, one could spend hours learning theorems but not know how to apply the theory to a novel situation. Math should be learned gradually with a focus on mastery rather than on "how fast can I learn this". What I fear for Abdullah is that he will speed through much of mathematics before reaching a level of complexity that requires utter mastery of all concepts that came before, and he will realize then that he must relearn all those things he rushed through before.
    3
  20467. Almost no mathematician learns every field of mathematics, so your scope is much smaller. Thankfully the foundations of physics is about half a dozen well chosen books, granted you have the mathematical background. So in particular for physics purposes as a mathematician you have to know probability and random processes, you may or may not want to delve into measure theory for this. Combinatorics you need very little, one of the multiple thin books out there on it are enough, maybe figuring out an inverse image relation once in a blue moon. Don't even bother with most statistics, it's a behemoth of a subject, in the context of physics you can afford to keep it simple such as taylor's book on errors. You will also need manifolds and differential geometry, you can keep it in Rn with something like do carmo's books. Algebra and linear algebra you need rather little, but make sure it's rigorous because it's the foundation of much of the mathematics mentioned above. Set theory is good, but you're way too inexperienced to appreciate it's nuance, such as choosing between set theories vs decidable aleph set theories or even categories etc, so the "high level axioms" such as the ones you find in say, apostol or lang, for mathematics are perfectly satisfactory. Basic calculus you need to be up a good standard, but if you know how to do calculus on normed linear spaces and what the bochner integral is, you're beyond the essentials point.
    3
  20468. Wackerly was my text for probability and statistics. It is solid. Hoffman and Kunze was also my assigned text for a second course in linear algebra. That one was optional but I wanted to understand the mechanisms behind linear regression better. I got that and lot more. And I've read it a couple of times since then as a refresher.
    3
  20469. Are you teaching mathematics in the janitor's closet?
    3
  20470. Very easy
    3
  20471. You are an OG yourself !
    3
  20472. I’m math journey was full of bad test scores and barely passed classes to the point that I gave up on getting any sort of technical degree. I knew I was dyslexic and just thought I was bad at math. It wasn’t until I was given the results of some cognitive assessments I took when I was 13 that I realize that My math skill was actually above average, in the 72% of my age group. But for some reason, when I’m under a time limit like when taking a test my results drop down to just 9% of my age group. I’ve since learned strategies to manage that and requested accommodations so that now I’m taking higher level math classes then I thought I ever could and loving it.
    3
  20473. Professor please gift 🎁 me one book love from India ❤
    3
  20474. This is really relevant to me right now! thank you so much, i've been doubting if a PhD is for me, but deep down I know it is.
    3
  20475. Thanks for the clear and understandable explanation. Loved this video. More like this would be welcome. Seeing the process many times makes it feel less intimidating.
    3
  20476. Thank u so much
    3
  20477. Thank you sir
    3
  20478. I very much agree ! There was an psychological experiment where they divided students into two groups. They told the first group that they succeded because they were intelligent and the rest were told that their success was due to their hard work. The "intelligent" group lost interest but the others carried on working hard. https://www.youtube.com/watch?v=4SH0Ho0FNd8
    3
  20479. thanks for help bro
    3
  20480. You brought up a sore subject for me and that is being good something you don’t like. I have many innate abilities and talents that I would gladly trade for the things I actually enjoy and the things that I’m not so good at.
    3
  20481. why isn't there a single Number Theory book. is it intentionally or forgotten
    3
  20482. Yeah can't say I ever came across tabular integration. Pretty cool.
    3
  20483. You really are a wizard, eh?
    3
  20484. What minimum age or what is the recommended age to actually understand each book?
    3
  20485. I usually refer kreyszig , it's have some amazing basics
    3
  20486. Here in Sweden we have 5 math courses, from 1 up to 3 you have a different course content for example math1A math2A math 3A and math1B math2B math3B and math1C math2C math3C, these are the high school math courses. The A courses are the easiest they are best suited for someone who is not seeking further education after high school. The B is courses are aimed at economics and business programs. And the C is for natural sciences and math majors of course. These courses vary in both content and the way the exercises are, for example linear optimization is a tool used mostly by companies to optimize the products etc, that is only taught in math3B not 3C in 3C you have instead trigonometry. The first calc course is in math 3 (all a, b and c) and it's a very cute overview of calculus you will only differentiate using the power rule. Then you study math 4 (after math 3 the math courses are not specialized, meaning no a, b and c anyone) which goes through the rest of the derivation rules and volume integration and some proofs and complex numbers. You then have two optional courses (which are not required for any uni program) namely math 5 and math specialization, in math 5 you learn about set theory, graph theory, proof by induction and infinite series, and an introduction to differential equations. In math specialization you take diff equations and linear algebra in depth. And that's all for high school math, i think that they do a great job because for example in math 4 they do explain what a differential equation is, its only a section in the derivative chapter, they sort of show you what's out there but they don't introduce it at a great depth, and this method of teaching is also the method in physics and chemistry, they will go through alot of advanced stuff in physics 1 (the first physics course) but they don't go through the math, or they will just have a single equation in the whole chapter. Uff, that was a long one.
    3
  20487. “go time!”
    3
  20488. Exactly man! I've thought the same thing ... there's no way I could ever have learned what I've taught myself from anybody else.
    3
  20489. I heard that some of those originally working on GPS were dubious about general relativity (not sure if this applied to special relativity as well) and wanted the option of ignoring it just in case. Turns out that accuracy is significantly less without it.
    3
  20490. Thanks a lots
    3
  20491. the hardest course for me was logic and set theory it was hell hard like realllly abstract shit i took me months of work to be able to write some proofs
    3
  20492. Yep, it’ll be interesting. Instructor is old school from Eastern Europe, does everything by hand. Now he needs to try to teach a class on the second half of Baby Rudin digitally
    3
  20493. You have to work up to studying for long periods of time, especially in this age of instant gratification.
    3
  20494. Networking is worth its weight in gold. That's why you pay more for prestigious schools
    3
  20495. Quick simple explanation. Thanks!
    3
  20496. Best 🔥
    3
  20497. It took me 1 minute to notice the fucking parrot on his back XD
    3
  20498. Wow now i clearly understand about horizontal line test thanks sir.
    3
  20499. 🙀
    3
  20500. I bought this very book because it appears in the James Spader series, "The Blacklist"
    3
  20501. you never knew when attending teaching school that it would land you a career on YouTube. GG!
    3
  20502. Came to say that I appreciate the font you used in the thumbnail: Alegreya Sans SC.
    3
  20503. I thought he was going to say Measure Theory 😆
    3
  20504. FOR a minute I thought Feynman wrote it and that would shock me..I believe he was a specific creature of a very special social time , the 50s..a TIME I'll defined and looking for what it was...
    3
  20505. Omg… that’s a new look 👍👍
    3
  20506. OK, thanks for the advice!
    3
  20507. thank you teacher, these teachings were very useful to me.
    3
  20508. good job youtube algorithm
    3
  20509. I think for reasons of efficiency, one must seek out the best book from which to learn something. I wonder though whether there is some value (if one has the time!) to perusing some truly awful books. Maybe it builds up resilience, if one can overcome things like infuriating typos, poor expositions, countless numbers of "the proof is left to the reader", or assumptions on the part of the author that "everyone" knows some essential prerequisite. I once asked my professor of advanced linear algebra and tensor analysis what was the worst math book he ever encountered. He replied, "Hassler Whitney's Geometric Integration Theory." Maybe one of these days, when I want to feel even dumber than usual, I will take a peek at that book. Maybe I will acquire True Grit therefrom.
    3
  20510. We appreciate your videos. You've really helped us out a lot.
    3
  20511. This is timely relevant and helpful
    3
  20512. That looks like an interesting book. I will check it out at a library online. I hope it is available. That will be my idea of a bedtime storybook.
    3
  20513. I think it's a question of finding the right balance. When I taught Physics, I might give up to 4/5 for a question with a completely wrong numerical answer, due to a simple slip, as long as I could see they used a valid method.
    3
  20514. Calculus 3 was hardest for me, but that's because the course also included line integrals, surface integrals, greens theorem, etc. If I removed this unit (which isn't covered in most cal 3 courses), cal 2 would be the hardest because of series.
    3
  20515. disc, shell, and everything else about calc 2 was pretty easy for me. calc 3 is harder in my opinion.
    3
  20516. it took a little warming up to, at least for me, but I am now a pretty big fan of Algebra: Chapter 0 by Aluffi. I think it is a pretty good stepping stone to "next steps," e.g. Commutative Algebra by Atiyah (which I enjoyed right away).
    3
  20517. I have no experience in linear algebra at all whatsoever, who this be a good start?
    3
  20518. Robert Morrison Btw, I checked your channel because of your age, as I am always encouraging my nieces and nephews to take interest in maths and other sciences by showing them channels by those of your age group. If you are ever creating more videos, check out FREE open source softwares that you can download from their official websites. Consider Inkscape (free) for vector graphics, text works, geometry drawing, presentation slides, etc. Best Inkscape tutorials for beginners by Derek Banas. When you want more fonts, there is the Google Fonts. OBS (free) for screencasting your works on monitor. MyPaint (free) for handwriting on full screen (you can toggle off interface). Ezgif (website) for trimming photos & videos, compressing images, etc. Pinterest for video presentation ideas. For videos and thumbnails, your screen size should always be 1920 x 1080 pixels. If you lack a pen tablet for drawing and handwriting, consider Huion which are 3 or 4 times cheaper than Wacom.
    3
  20519. Yes. My boyfriend says because meat can remain frozen for some time people are purchasing so much. We had to go to a mom and pop meat market. Down here known as a carniceria(meat market), and someone purchased $900.00 usd in meat.
    3
  20520. I think 🤔 mostly guys learnt mathematics ( if it take major) in approx 18-20 years , Key point here is that at small ages while learning math , have much less experience to visualise things or to handle problem But blessings for 64 year old guy is that he/she have much more experience to handle these things/problems No matter whether he/she not learnt any math.... But he/she have more ....we can say YIELD after studying some subject of matter then a teenager or youths
    3
  20521. I just treat maths mostly like a hobby and avoid stressing myself out. I believe in positive thinking which I learned from Jose Silva's "Silva Mind Control Method."
    3
  20522. thank you man. I used your idea to apply for f(x)= xcos(pi*x)
    3
  20523. The 7th edition is excellent
    3
  20524. thank you for this video and for all the information, math sorcerer!
    3
  20525. Thank you sm this was so helpful
    3
  20526. Thank u ❤️
    3
  20527. Algebra requires us to take it slow. I don't know anyone who could just conjure up the proof of the Sylow's Theorem or Burnside's Lemma just on the fly. It took me a lot of time to understand it. What's actually uncomfortable about it is that it's nothing like high school :D.
    3
  20528. Is linear algebra one of the first textbooks to go through proofs? What are proofs exactly besides trying to prove some sequence of statements? Can solving something with n equations and n unknowns be abstract as proofs as well? I love how proofs work, I'm studying as a graduate in Econ, and learning econometrics where we have to prove MY = MXB + Me, with M = (I - X(X'X)^-1X) or deriving the asymptotic variance. E[(X'X)^-1Xe'e] = (X'X)^-1X'E(e'e)X(X'X)^-1 :) But I don't know if deriving a general formula with n variables is the same as doing mathematical proofs. Maybe the steps are part of it.
    3
  20529. “Exercise is the best instrument in learning.” - Robert Recorde (1510 - 1558), mathematician.
    3
  20530. your awesome math teacher
    3
  20531. 3 to watch
    3
  20532. Hello math soccer Can you please make a video about math in SAT exam, for students that want to get to college.
    3
  20533. Thank you so much for inspiring me to keep studying!
    3
  20534. what to do when you get stuck call gandalf how?!?!?!?
    3
  20535. Wow! I wish I had that many math books. Even though I'm not familiar with most of the math concepts, it is truly interesting to hear about these concepts. I can't wait to learn about these math concepts in the coming decade of my academic career.
    3
  20536. I'm currently doing calculus 1 if you remembered and grade 10 physics. Math is the language of physics and one day I wish to become a physicist that's why I'm so passionate about math. (Arguably the most remarkable subject of all time)
    3
  20537. I was wandering how long does it take to master calculus 1, because I have no idee jugging by the size of some of my books😅
    3
  20538. I love books and LOVE old books! But if I get near one, I get all itchy. If I so very much just hold one - and let's not talk about SMELLING - I will need to go to the hospital ASAP! 🥲
    3
  20539. Sir,...you should review 'Calculus' 4th ed.by ROBERT T. SMITH and ROLAND B. MINTON.I have Stewart calculus and other legendary calculus books...but according to me this is a masterpiece.
    3
  20540. I hate to disagree with you. I have that book. Picked it up for about $5 used. I really don't care for it at all. I really didn't get much out of the book. I don't think it's a very good book, inspite of the fact that the author was a famous mathemetician. I really prefer Churchill's book as a first look along with Schaum's Outline.
    3
  20541. Any one suggest a book on complex analysis, i don’t want to buy many just one which does the job perfectly
    3
  20542. This is so true and can relate to it so much and wish to learn more but not sure where to start.
    3
  20543. In other words the end of the world...I died
    3
  20544. SIR what's you're name?
    3
  20545. I like your costume
    3
  20546. They gotta know that knowledge is always useful
    3
  20547. Just wanna say. The books on the list at the back is like the counterpart of wandering on the internet in search of interesting scientific books. I'd love to read the book about metallurgy and the one about locks :>
    3
  20548. I always remember pi as 180 degree. Many viewers forget that. Pi/4 = 45 degree, meaning both adjacent and opposite are equal lengths. I am relearning trigonometry.
    3
  20549. Indeed! In fact, math is the language of the universe or multiverse (if there happens to be other universes beyond ours).
    3
  20550. My transcript is pretty ugly to be honest. I have a 3.69 right now, but I have a bunch of Ws (5-6?) and two Cs. I also haven't taken abstract algebra classes, as I'm a late math major. If I end up trying to apply for graduate programmes, that'll be interesting. I'm gonna have to explain myself in those letters...
    3
  20551. Grades sabotage learning. Self study is the best!
    3
  20552. Yep this is absolutely right .when any person watching any video related study ,so after the finish the video .Every person should wright notes or brain mapping ....🙋🙋🙋🙋🙋🙋🙋💆
    3
  20553. Pencils produce micro reflections that hurt the eyes. I use blue friXion pens, they do not reflect light and more attention is paid to what is written. It also has a special eraser that allows you to erase the equations.
    3
  20554. Another easy book is Pinter's a book on abstract algebra. You can buy the dover edition for a cheap price.
    3
  20555. idk though, idk perhaps there is a universal truth that is possible to get to by essentially overthinking
    3
  20556. Your explanation is so good. Thanks for making my life easier.
    3
  20557. thnks from algeria
    3
  20558. What are the pre-requisites to Calculus?
    3
  20559. In my country it's mandatory to repeat if you were very bad thats good
    3
  20560. I could never go to a higher grade without fully understanding what i did in 8th grade
    3
  20561. Why not both 😃
    3
  20562. Functional analysis😭😭😭
    3
  20563. I feel the same way.
    3
  20564. Love this channel❤
    3
  20565. you look insane!!!
    3
  20566. A supplementary book would go a long way with this. Any suggestions?
    3
  20567. Charles Bronson died in 2003 of pneumonia at the age of 81.
    3
  20568. Nice! 7 years later, this is still helpfull.
    3
  20569. You know it is a hardcover book only because it was bound for the library, right? 😄👍🏼📚
    3
  20570. Step 0: Stop blinking. Blinking makes you stupid.
    3
  20571. Thanks for the explanation! You are awesome!!
    3
  20572. Please do makes a videos again beacause i really like your videos and it is really help for me as a high school student and to our classroom i am the most best in math in my classmates beacause this videos the one who help me in math problems thank your very much and it is really helpful for me
    3
  20573. I think the transformative experiences of learning mathematics on your own, without the pressure/shame/fear/terrorism of grades, will transform you into someone that easily passes all mathematics exams without studying because you have identified as a Mathematician/Mathemagician/Sorceror.
    3
  20574. ❤❤❤❤❤❤❤❤
    3
  20575. Thank you 🤍🤍
    3
  20576. lmfao this is me right now
    3
  20577. V. V. Nice sir ji
    3
  20578. First
    3
  20579. I had plenty of struggle with math despite having the answers. My process was usually to try and solve, check if my solution was correct, then try to find out why my solution is wildly different.
    3
  20580. Renaissance Periodization channel where Dr. Mike Israetel teaches the fundamentals of natural bodybuilding is a great source
    3
  20581. Oh Newton! Is that you ?
    3
  20582. I'm working almost 40 hrs a week while taking 17 units. I needed this because I often go on social media after work and waste my time while I could be enjoying working on my hobbies like game development and programming. Thank you!
    3
  20583. This is definitely looking like some historical books.
    3
  20584. This is a tough video to get posted while I’m solving homogeneous equations
    3
  20585. Sin^2 x + cos ^2 x = (perpendicular ^2 + base ^2) / (hypotenuse ^2) Then using pythagoras theorem, = (hypotenuse ^2) / (hypotenuse ^2) =1
    3
  20586. Damn I understood this pretty damn quick!! Thank you so much!!!
    3
  20587. As always, I love those advice videos ❤
    3
  20588. My goal from pre algebra to calculus bc
    3
  20589. This my fav channel on yt
    3
  20590. That speed advise is awesome. Now I feel the need... The need for math speed :D
    3
  20591. Sure.
    3
  20592. I like the idea of setting yourself a set number of problems or a set amount of time to work on math daily. Personally I find it difficult to find problems of an appropriate level, obviously you want to be challenged, but if they’re too difficult then that’s dispiriting. To that end I buy a lot of second hand math books just for problem mining ☺️
    3
  20593. Embrace the suck. I know it’s a rather vulgar phrase, but it does apply here also.
    3
  20594. What about algebraic geometry, differential topology etc.
    3
  20595. God i love this channel
    3
  20596. step 1: Have Einstein style haircut
    3
  20597. Thanks!
    3
  20598. Awesome video thanks for the clear explanation
    3
  20599. I like the energy you transmit. Thanks
    3
  20600. meeen this is why i LOVE MAAATH
    3
  20601. Thank you Sir 👍🏻
    3
  20602. Just DCA and sit on it for a few decades.
    3
  20603. Hey. I know I'm not the Math Sorcerer but typically CS majors take Calc I,II,III, Linear algebra and discrete mathematics
    3
  20604. I think a major component that is missing is what did you study in undergrad? Hard to give advice without seeing that.
    3
  20605. I used the 6th edition when I was learning calculus as an undergrad. I later bought the 7th edition ; unfortunately, it went out of print so schools stopped using the book as the main reference.
    3
  20606. Thank you
    3
  20607. To add on to the ending there, keep in mind that beginners, intermediates, and advanced lifters do things completely different for a variety of reasons. As a beginner, one doesn't have to work very hard at all to gain results. Going to muscle failure or even a few reps shy of it will work wonders. As an intermediate, you're at a point where your muscle growth is slow in coming. You can still do the same old thing and do fine, though you probably want to hit failure on each exercise to keep up a good pace. Go beyond failure using techniques such as negatives, drop sets, etc. from time to time. As an advanced lifter, you're going to have to really tighten up your routine. You're going to have to milk every ounce of technique and skill you've developed to come away with some form of growth. At this point you'll barely notice improvement outside of your workout journal. And remember, if your routine is working for you, there's no reason to change it up unless boredom is an issue that threatens your consistency.
    3
  20608. That's definitely true. Mathematics and physics are subjects where unpredictability is common, especially in exams. So any mathematics student may prepare for an exam but this mathematics student may get a problem that doesn't seem that it can be solved by the ways that he/she previously saw while studying so this student will fail this exam. Therefore the more a person does mathematics and physics problems the more a person fails. And this from generally preparing for life hard times is a really great thing because in times when things are bad in life a mathematics/physics students are supposed to approach that problem like they used to approach their subject problems which means that if they even fail they must accept the failure as a Good opportunity to learn and learn from it.
    3
  20609. Jeff bezos with hair
    3
  20610. Nice book.
    3
  20611. Thanks
    3
  20612. Really really glad you’re on Spotify now ! Hope you shoot for The Stars and reach even beyond! 🎉
    3
  20613. Thanks for telling your story to us. It is really inspiring! How did you found out you liked math so much after your first year of CS and not in middle school for example?
    3
  20614. once, just once I will raise up and start learning all thins stuff. Just for to be a human
    3
  20615. Thank you!
    3
  20616. Majoring in Physics next year, might be a little hard😂
    3
  20617. im curious, what was the highest score on the exam?
    3
  20618. Fire up those printing presses and bring extra candles.
    3
  20619. Why not look at original Russian edition?
    3
  20620. ela super
    3
  20621. Good morning sir
    3
  20622. Hi. Good day/evening! I have a video suggestion: I don't know if you have made a video about you "The Math Sorcerer". I would really like know more about you (I don't if I should call you Prof/Sir/Dr😓), but your videos are meaningful and it makes me wonder sometimes " who is The Math Sorcerer?". Anyway it's your choice.
    3
  20623.  @TheMathSorcerer  Once again, thank you magician.
    3
  20624. oh yes! let the creativity flow
    3
  20625. Omg I remember the pepper book 😂 I used it for algebra 2 in high school
    3
  20626. Thank you❤️ it's tough to find most of these books in India, locally :(
    3
  20627. Hey! I've just started a College algebra book from your video, and it's exactly the topic that I learn
    3
  20628. This video help me so much
    3
  20629. Don’t go by name baby Rudin, it’s very dense textbook.
    3
  20630. I've been looking for a proof book!
    3
  20631. Ohhh so that’s why my method of procrastination combined with fitting formulas on a notecard doesn’t work
    3
  20632. Is it only be who see a Jeff besow with 2$ wig
    3
  20633. Could you do a review on the book: Mathematical Methods for Physics and Engineering by M. P. Hobson and K. F. Riley?
    3
  20634. wow thats beautiful!
    3
  20635. Thanks ❤❤
    3
  20636. So cool.👏😌
    3
  20637. There is a guy named Justin Sung that explains that note-taking makes you transfer your cognitive load onto the notes, That makes you forget the information and create future work. It also makes you unable to engage in higher-order learning. I really advise everyone to check out his Youtube channels. His study tips are really great.
    3
  20638. Awesome Video!! Interesting combo. I've never seen a DE Book where linear algebra is included. The Saff and Snider Book also has all the important Chapers like matrix exponentials and power series. I own it but i'm still not quite at the point where i can do the more advanced chapters.
    3
  20639. arsinh(x) = ln(x+sqrt(x^2+1)) so yes, they are identical.
    3
  20640. I used the 3rd edition in 1961.
    3
  20641. I love math ❤❤
    3
  20642. You’ve inspired me to stop procrastinating and to go study my electrodynamics
    3
  20643. Proving the statement of age limit, From 0:23 .. proof by induction starts.
    3
  20644. Iam 41 years old.i learn math..calculs .. this is very good ..
    3
  20645. Thanks Sir as always!
    3
  20646. sir crush po kita!!!! 💞
    3
  20647. Truly inspiring, Thank you
    3
  20648. As a math professional, I would say your explanation is wonderful!
    3
  20649. Search the older videos on his channels. He has lots of Calculus Books reviews. If you want a quick recommendation, go with Stewart Calculus. There isn't much to improve over that
    3
  20650. Grab your brush and put a little makeup 🎵🎶
    3
  20651. Where does that second 1/2 come from?
    3
  20652. thanks man it really helped
    3
  20653. I wonder whether this books lack of elaboration helped foster Ramanujan's godly intuition.
    3
  20654. thank you for keep making videos, your video makes me keep motivated and interest in math
    3
  20655. I have four of these books.May I suggest a book by Albert H.Beiler Recreations in the Theory of Numbers (Dover), originally printed in 1964.There is a very interesting chapter on figurate numbers.
    3
  20656. My preferred book of integral and differential calculus.
    3
  20657. I almost never comment appreciation, but as someone who didn’t care about school in hs and is paying the price, I’ve been self studying math from now until when I start community college in September to take a good placement test as well as to gain some credits before I transfer. I have weirdly started to enjoy math as well as thank u for ur book recommendations. I picked up elementary algebra, algebra and trig by Sullivan, and pre calculus with Stewart. This vid was enjoyable and thank u for all u do!
    3
  20658. Do You really think the guys who don't know how to expand polynomials must be teached to do Laplace transform?)
    3
  20659. it's not hard tackling a subject at a time but attempting to do it across a large variety simultaneously is challenging to say the least, unless you are a seasoned math major. so, my advice is to concentrate on either calculus or numbers or sets etc. but one at a time.
    3
  20660. Why concentrate always on science studies. People rarely hear of a beautiful combination of math & philosophy!
    3
  20661. Only 62 years for me… on track for an MS in Industrial Engineering in May! Gaslight yourself to stop the negative thoughts and exercise/take your vitamins/get good sleep. You have got this!
    3
  20662. He has a video called "Learn mathematics from start to finish"; I believe it's a good place to start :)
    3
  20663.  @FelipeBalbi  Read them however you feel would be best for yourself. I'd recommend focusing on completely understanding the material. Like, if you have doubt about some aspects, look it up! (Especially the foundational principles.)
    3
  20664. Just start reading it even though I had a previous bias that it is not much useful, but after I open my mind I gain a lot from this book.
    3
  20665. i'm brazilian, helped me a lot thanks
    3
  20666. Hey Can you do a review on the books from the 1800s ? Would love to see that
    3
  20667. Definitely agree with this! Especially if you recognize/find yourself depressed, speak with a doctor/counselor/mentor/etc, the world will feel much better
    3
  20668. how do you do this? I have a mid term tomorrow! You always come in clutch timing, thank you
    3
  20669. John D. Baum
    3
  20670. Please check out 'Calculus for the Ambitious'. I used it to teach myself calculus and it's simply amazing! It's on the Cambridge mathematical reading list: https://www.maths.cam.ac.uk/undergrad/admissions/files/reading-list.pdf The author, T. W. Körner, also wrote 'A Companion to Analysis: A Second First and First Second Course in Analysis'.
    3
  20671. "let's just go ahead and flip everything around" 😂
    3
  20672. Just spending very few hours a day, one or two hours even, can within a decade give you quite a hefty mathematics background.
    3
  20673. I'm from Brazil too. Learning about Hopf's Algebras in the Científic Initiation. In my college, in the last 3 years, the only ones who didn't quit from math grad 'r those who do IC. So, here, it's seems to be important, some way. Think it make you 'good' at something early (commonly, we start after one semester), so you don't want to quit so hard.
    3
  20674. Keep making the videos, love from india
    3
  20675. You 🐐
    3
  20676. Thank you very helpful, straightforward and simple as it should be
    3
  20677. Jesus knows how i love trig... Since the first time i put my eyes on it... Never had the chance to use it in my work but i just love to manipulate the trigs relations 😍😍😍 thanks for sharing it with us. Just made me happy.
    3
  20678. Work with others and do lots of problems. Be good at algebra before taking calculus. I will also admit that I did not understand algebra until econ grad school despite all the math courses I took.
    3
  20679. please blink
    3
  20680. Spent 5 hours to solve a geometry exercise Probably what changed my mind to go all-in on maths
    3
  20681. In India calculas is a must in last year of high school to pass
    3
  20682. Ok, take this with a grain of salt. I’m a Marine Veteran. I have a little experience leading small groups of people. I’m in an underwater ROV team at my college. I bet there are people who know how to circuit , program, and understand physics or engineering better than I do, but guess who is leading the whole damn team rn. I am overloaded with some classes but I put some time for this but I know how much more important this experience is than a gpa. Please prioritize internships, clubs/projects and undergraduate research. Do your best for scholarships and get real experience. College won’t do that for you as their job is to make you have the potential to learn.
    3
  20683. do you think nowadays someone can become the greatest mathematician?
    3
  20684. Greetings Mr. Math Sorcerer, Thanks for Kind Words which resonates in such a way that Passion Complements Growth in all aspects of Life.. Take Care.. With regards, RanjithJoseph (R.J)
    3
  20685. Encumbering oneself is best way to have a fresh perspective and learn new things.
    3
  20686. 1. Get better at math 2. Get better than that 3. Get even better
    3
  20687. Wow
    3
  20688. Why he sounds like Charles McGill from better call saul. Great video btw ❤
    3
  20689. When I'm working on my math exercises, I wait until I come up with a satisfactory answer to the problem, then I check my work in the back of the book. I leave the wrong answer where it is. Then I write the right answer with a note stating what I did wrong the first time and what I can learn from my mistake. I just started with discrete mathematics self studying after watching a video of yours about how to learn math in the ground up. I really didn't get much education growing up and I've always wanted to be good at math. That is what I have started working toward in 2023. I refuse to accept that I'm always going to be bad at math.
    3
  20690. First 🥇🥇
    3
  20691. I set a new goal of trying to do 20 pages of math a day. I did a hour and half today and only manage to work through 2 pages of algebra😆😆I'm alternating now between algebra and precalculus. enjoy these videos for the books and advice
    3
  20692. This is so true. Just start - you will be amazed at the results. Great channel, btw.
    3
  20693. U ARE HILARIOUS!!! i get why u do it though;) verrryy peaceefull;)
    3
  20694. So basically just become a math speedrunner
    3
  20695. Thanks for the help, Mr.Math sorcerer 🤜🤛👍
    3
  20696. Is this book still relevant today considering the astronomical pace of change in both trading tech as well as quality & quantity of market participants, considering its published almost a quarter of a century ago now?
    3
  20697. U cleared my last minute doubt thankkkkkkuuu so much
    3
  20698. I suppose the question in the email is a query to get from you details of what are the foundations of Mathematics from both set theory and categories. I'd like you explain more of it too and show maybe other new theories. Perhaps you can talk about philosophical ideas such as in set theory one creates numbers from nothing as well as in big bang theory things come from nothing.
    3
  20699. Thank you !! We are now getting into Power Series in my DE class and we had a review section and I of course totally forgot Power Series ( Definitely a facepalm moment), Very clear and awesome lecture.
    3
  20700. thanks a lot, I'm studying computer science in the university and somehow have to do this course(linear algebra), and your channel has been helping me. Please do more videos under this topic ;)
    3
  20701. I’m totally digging the guns 😎🫡 you got me to love math 3 years ago so much that I went from Accounting to engineering. You’re about to inspire me to lift again 😊
    3
  20702. a possible alternative would be to write the notes a couple times on paper, and when it is finally mastered, type it up using LaTeX.
    3
  20703. The work of writing and thinking will cement the concepts much more strongly than just reading a print-out.
    3
  20704. Que bueno que hay gente que habla español que ve al mago
    3
  20705. ➡️⬇️¿⬆️⬅️?
    3
  20706. Congrats! Nice bookshelf, I also have one, and it is quite large )
    3
  20707. Is there any way to understand how complex functions show while solving linear second order.
    3
  20708. Hii sir 🙏
    3
  20709. Thank you for continuing to create these uplifting videos.
    3
  20710. Any idea on how to self study topology on your own
    3
  20711. Third shelf please please please
    3
  20712. Great book
    3
  20713. This was what "the New Math" back in the 60's tried to address. There is no reason why the basics of Set Theory and Formal Logic can't be taught in high school--or earlier!
    3
  20714. Probably a scarcity of qualified teachers?
    3
  20715. Hey math sorcerer, i just realized i have the same table as you in this video, i was just shocked i was like HUH! math sorcerer is having and studying on the same table as me and i felt like your divine power has entered me and now i have momentum to finish my pre calc book.
    3
  20716. 2:30 apprentice 12:41 magician 16:36 warlock 26:35 wizard
    3
  20717. What does the route to proof-based PDEs look like? I've read somewhere that the research going on in pure math that pushes PDEs forward is Functional Analysis. The thing is that I don't understand any description of what Functional Analysis is. What exactly is functional analysis? I've been told that I need the Calc Series, Diff Equ, Linear Algebra (both intro and proof-based), Topology, and then like ... 4 Analysis classes. Does that sound correct?
    3
  20718. hi Scorcer really need your playlist on vector spaces please help
    3
  20719. I absolutely love Schaum's books with fully solved problems. I have roughly 8 books by Schaum.
    3
  20720. :-)
    3
  20721. In the present day math ends at the monster group which comes after topology and Lie algebra but in the future abstract or modern calculus will be next after the monster group in the mid 21st century
    3
  20722. Asking if IQ matters for maths is like asking if size matters. Those with high IQs will answer it does, just like people whose shoe size is larger will answer that size does matter. The fun thing about these types of questions is that by answering them you are revealing your type 😂😂 and yes, IQ and size do matter
    3
  20723. What is about geometry?
    3
  20724. It's wrong !
    3
  20725. You pretty much created a baseline for an algorithm that could make trades for you. You'd have to code it... but this is a start of a algorithm based trading system. Interesting video. When I trade, only math I do is basic ➕➖✖️➗ lol.
    3
  20726. Very very helpful thanzz a lot ....love and respect from India...🙏🙏🙏🙏
    3
  20727. aww thanks!
    3
  20728. I study at night because it is more quiet in my house at nights my guardians are so damn noisy. I literally teach myself math with textbooks and YouTube throughout high school
    3
  20729. WOW what a video to watch after i spent 3 days on solving a recursive relation problem... I finally figured it out after making a dozen mistakes. Time well spent though I feel really good about it, but i lost a lot of productive hours on other subjects that i neglected (taking 4 math courses)
    3
  20730. I found the book by gamelin also very accessible to beginners. This book is a little too easy.
    3
  20731. These videos always are suggested/in my sub box the most when I’m in a slump 😅 thanks for keeping us motivated! 💪
    3
  20732. Thank you Math Sorcerer!! You are one of the best math youtubers ever, thank you for helping out.
    3
  20733. You look like Sir Issac Newton 😎
    3
  20734. Love it, more of these videos!
    3
  20735. This video was great!!!! Thank u so much
    3
  20736. Great video! It’s very easy to understand and the explanations are straight to the point. Thank you!
    3
  20737. you are the only guy who really understands this. Thanks a lot
    3
  20738. If my goal is answer Rudin’s mathematical Analysis, which book should I read before between (I mean wich is easier and better for self studying) This one (Ross), understanding analysis by Abbot, or Calculus by spivak (I want to learn Analysis for my own, I’m studying engineering and I don’t see this kind of math in my degree) If the answer is spivak, after his book, should I read/answer one of the books that I’ve mentioned above (I would like to add Terrance Tao’s Analysis books as a option), and before answering Rudin’s Book?
    3
  20739. Only thumbnail again:just calculate it to an inequation of the second grade and then use the discriminant
    3
  20740.  @TheMathSorcerer  haha, np
    3
  20741. Thank you soo much! This really helped me!
    3
  20742. “What you can do is change what you can - yourself “ - words to live by!
    3
  20743. ❤ Mathematics activates left part of of brain.
    3
  20744. Scary , but simple
    3
  20745. Apostol>Bartle> Rudin
    3
  20746. Since 8>0 this equation is possible for some x in R. Since we have an absolute value to be greater than a number we take x^2+6x+1>8 and x^2 +6x+1<-8 simultaneously. Bring the 8 to the other side, the second equation can be factored as (x+3)^2<0, the first can be factored as (x-1)(x+7)>0 using the quadratic formula, Horner's method or any other method. On the factored equations you can assume the first to yield no solutions as a number squared is always non-negative. The second one will give you that x belongs to the domain (-inf,-7)U(1,+inf), which can be given as the final answer.
    3
  20747. That book helped get me through my mechanical engineering degree.
    3
  20748. How does the circle look in the imaginary plane if only one endpoint converges?
    3
  20749. "I hope this video has been helpful to someone who's working on Calculus, take care. " -- love your ending note in each short lecture.
    3
  20750. What to do when the value of n is not given
    3
  20751. You are indeed a saviour
    3
  20752. the best when he calls it nonsense ! Love it, subscribed to them both anyway so I enjoyed, did not understand a thing of course but I am getting there
    3
  20753. I wan't to get the "No bullshit guide to Linear Algebra", $40 I was skimming through and found insightful illustrations. I'll have to check out Lang's book.
    3
  20754. easy
    3
  20755. Song is “The Gambler” by Kenny Rogers
    3
  20756. Is this the same course as on Udemy? Any how I'm buying it to support you! You are a great teacher!!
    3
  20757. looks like you use speed.
    3
  20758. For each reason you discuss, there is a long ad coming in such that I totally forget what you were talking about before the ad.
    3
  20759. Really good explanation Pls do a video about π= sin(1/55555...) * 10 ^x
    3
  20760. You are the best, am creating a course for passive income talking about Laplace transform you videos are my reference, you are legendary
    3
  20761. really excellent advice and I appreciate you helping remind us what it means to want something. I also do want to add, It's important not to beat yourself up when you fail or struggle. Much of my issue with adhering to my schedule and goals is hands down the fear of failure. I didn't even recognize it was fear of failure until I really assessed what was actually stopping me from wanting to start modules, assignments, reading, etc. I inflected and came to the conclusion that I didn't want to get stuck on problems and have it suck up all of my time, or struggle and feel "stupid". It's challenging, there is no other way to say it. It's not for everyone because it requires a lot of dedication, time and commitment to get good at it. this of course applies to every hard science/mathematics course, you're trying to ingest and understand the knowledge of some of the brightest humans that have ever lived in mere semesters. so yeah, just take it one step at a time, if you get stuck than look forward to getting good enough to destroy the problems you used to struggle with, it's very satisfying
    3
  20762. Damn how many videos you uploaded in one hour thats crazy
    3
  20763. Thank you for this video. I'm happy
    3
  20764.  @TheMathSorcerer  When I wrote that comment I meant that I wrote the second comment on this video.
    3
  20765. So glad I found this channel :P
    3
  20766. thank you so much sir.
    3
  20767. Thank you ❤
    3
  20768. 🎉🎉🎉
    3
  20769. Do you have any videos on teaching from elementary to middle school to high school math
    3
  20770. Ok, ok, FINE… I’ll get a copy. Haha. Seriously though, your enthusiasm is very motivating, and I’ve already bought a few of the books you suggested before.
    3
  20771. Watching your video, I am very pleased.
    3
  20772. yesterday i watched a video about the subatomic universe and that feeling has never been more evident.
    3
  20773. Good morning sir ji
    3
  20774. What jeff bezos 😮
    3
  20775.  @TheMathSorcerer  notification bell on! 😀thank u so much!
    3
  20776. So can one, without necessarily being the new Richard Feynman, teach themself (some of) the contents of the math major? How would you go about doing it? I understand it would take longer if one were to take the self-learning route over the university one, but it’s still an important question to many of us 🤷‍♂️ Thank you for your content. You transmit such a genuine passion and good vibes that I smile every time I watch your videos
    3
  20777.  @TheMathSorcerer  me too, they think I’m trolling tho I’m baaad
    3
  20778. Thank you for this video
    3
  20779. I'm in 10th grade in geometry. I want to be interested in it. But the work and when it is due makes me not to do it. Plus when I run into a problem I'm stuck on I lose interest right anyway. Any advice? And great video
    3
  20780. Algebruh? It's importand for understand the amazing math universe. Hahaha but it's difficult for me too.
    3
  20781. Welcome to software engineering :)))
    3
  20782. I was lost at “proofs”. :-)
    3
  20783. What about early transcendental by stewart should I buy it?
    3
  20784. Here, I have learned a new mathematical symbol "magnitude" || ||, as different from parallel symbol ||. Thanks.
    3
  20785. this is me
    3
  20786. Yaaa.. That's true... They are not only teachers but also engineers, they have that sense all the time...
    3
  20787. paper with no lines is better bc it makes you think better and think out of the box... it makes you feel free. thats what i use too and i found out that i felt better using paper with no lines
    3
  20788. Not sure what IQ tests measure. From my experiences teaching math, successful students are those who can abide structure, limits, and rules. This is why organizations value people with numeracy. Defiant people have all sorts of occupational and social problems. They cannot accept the founding propositions of any organization that diverge from their core beliefs. Years ago I took a wonderful class in Engineering Economics. To begin, the instructor told us there were always 2 types of students in these classes: those who could accept that money has a time value and those who could not. The later would fail the course. It was spooky to watch this prediction play out so accurately.
    3
  20789. Yes, you are correct; and no, we totally do not approach learning from a scientific perspective. If we did - grades and credit-hours would not exist the way they do today.
    3
  20790. Great video. BTW, here is a very unusual topology book that's worth checking out: Steven Vickers - Topology via Logic Also, the recently released: Tai-Danae Bradley, Tyler Bryson, John Terilla - Topology: A Categorical Approach
    3
  20791. Wizard, do you think Adult Geniuses are a thing? I read about it a long time ago in a Psych book? As to say someone who never saw or attempted higher level mathematics could have a knack for it but never knew it.
    3
  20792. Who's gona carry the boats and the logs !?
    3
  20793. Q: How good is your Math? A: Tha fuq was Algebra again?? Certified Math-Hobo
    3
  20794. I love youuuuuuuuuuu Thank you very much. You made me love it I love you again
    3
  20795. I love this book so much that I bought 2 edition of this book lol. Examples in this book really helps me to understand abstract algebra. It is really readable. I supplement this book with Schaum outline abstract algebra
    3
  20796. What do you think about “Abstract Algebra” by D.S. Dummit and R.M. Foote? I find out that this book has very detailed introduction in all basics themes and a large amount of simple exercises which helps to feel comfortable with material.
    3
  20797. You ask how many courses one would need to understand the questions in this book; essentially, one should have taken courses required for a BSEE degree. Courses would include: calculus through differential equations; functions of a complex variable (series, poles, zeros, residues, contour integration); matrices and transformations; electromagnetic field theory, including transmission lines, waves, and antennas; DC and AC circuit analysis; linear systems analysis (Fourier series, Fourier transforms, Laplace transforms, state-space analysis, discrete-time signal processing); analog and digital electronics (easily THREE courses); control systems analysis (feedback, stability); power systems (single- and multi-phase AC systems, transformers, switches, relays); electrical measurements and instruments. There's also a few physics courses, such as mechanics, thermodynamics, optics, quantum physics. As you might expect, the BSEE curriculum changes over time to maintain "freshness".
    3
  20798. There's a BIG difference too between "Math study time" and "Math fun time," e.g. doing homework problems from "the chapter you're on" is never as fun as doing problems, (you choose to do,) from "the chapter you 'wish' you were on." LOL. The homework is almost never as exciting as the YouTube videos we watch, where there's N dimensions of space & coffee cups turn into doughnuts and Hotels have an infinite number of people committing adultery. 😂 So, first, I think it's important to make that distinction between "this is fun but it will also be on your test" and "this will not be on your test, it's just fun!!" 😀 Second, be honest with yourself. Do you feel like studying or nah? If not then enjoy the video with none of rhe guilt. But if you need to study and you're not motivated then you need to address that. So, the way that I get motivated : I start looking ahead at the stuff that looks interesting, like the doughnut & the Mobius strip or a Topology video from YouTube, or I attempt a problem beyond my comprehension and when I see that I can't solve Jack-$**t... I remember: "hey, I just recently passed Calculus III... if I wanna be on that level, then I better go back to chapter 15 and really master those line integrals and surface integrals if I wanna have "fun" ..and thats what pushes me to work towards that. "I better know simple connected paths, I should recite Green's Theorem, & Squeeze Theorem, and M.V.T every time I brush my teeth jic. I better be able to comprehend ε , δ definitions, and neighborhoods if I ever expect to drink my coffee out of a doughnut like a real Mathematician!! 😬 I gotta do more than just put a half-twist in my belt if I wanna be taken seriously. Basically the idea of doing "advanced trippy 'fun' stuff" motivates me to do "less fun stuff," and it helps me to be reminded that I'm getting closer to reaching that goal and that all of it is part of the same thing. It helps me appreciate the little things. Even cumbersome things like reducing a fraction take on more meaning when you do it after a long integration by parts and you're about to wrap it all up, because before you know it you'll be looking back thinking 🤔 "wow! 1year ago feels like yesterday, and I didn't know what a limit was, or a vertical asymptote, or a vector field, and now I do. Just think of what I'll know tomorrow.😀
    3
  20799. please do a video on your skin care routine 😭
    3
  20800. The third advice is tremendous. Thank you
    3
  20801. I revel in this sort of philosophic query. Especially with so many middle school students with a mastery of 2-digit addition, who feel they are too old to study math. As a practical answer, I would return the question: Are you too old to travel without moving; to discover hidden worlds in your mind? Or maybe get a more intimate view of the structure of our world? You like texts, but they can be dry for some. I like geometry puzzles. For example, what is the radius of 2 identical circles inscribed in a 3-4-5 triangle.
    3
  20802. 👍🏻 Thanks For Motivating Me
    3
  20803. You killing it , thanks
    3
  20804. why couldn't you just square each term in the expansion of sinx or mult both sides by sinx ?
    3
  20805. Please try if you can make a video srinivasa ramanujan notebooks🙏🙏🙏❤️❤️❤️ love from india
    3
  20806. ❤❤
    3
  20807. Ohh what a math teacher you deserve to get Nobel Prize..you make math so fun and easy 😎
    3
  20808. Mir books would also make a good video - 🤩
    3
  20809. Last Math Sorcerer Video in this year. Happy New Lousy Year to you all
    3
  20810. hmmm even though the limit of the integral doesn't exist, we can imagine that since cos(x) goes on forever, every area segment above the x axis is cancelled by its negative mirror image below the x axis is it not possible to say that the integral is zero? where did i go wrong here?
    3
  20811. Probably it has something to do that we need to get the same answer in any way we add up the net areas under the cosine curve from x=0 to x=infinity in order the given integral to exist as a finite number. For example, the net area from x=0 to x=2pin+pi/2 for f(x)=cos(x), where n is a positive integer, is always 1, and then answer for the required integral will be then 1. For the integral to exist, it’s answer should not depend on the path of integration.
    3
  20812. Investment in education is a never losing investment
    3
  20813. THANK YOU!!!
    3
  20814. Why is no one talking about the integral which literally says sex?😂
    3
  20815. Halmos, a classic! I studied from Fraleigh, but still failed Group Theory!!
    3
  20816. What would you say is the best book for learning proofs based Linear Algebra that Mathematics majors take?
    3
  20817. How does it compare to deboyce and Prima?
    3
  20818. How does they get a PhD at the age of 16 ? I mean we need to complete school then bachelors and then masters then only PhD comes. But how does these people do it I would like to do it too...
    3
  20819. I want this book
    3
  20820. It's so hard finding good videos over hyperbolic functions !
    3
  20821. Why we chose n=1 when derivatives of y’ ?
    3
  20822. Would you know the difference between modern abstract algebra and modern algebra? My university offers both and I wanted to know the difference. Thank you
    3
  20823. This is incongruous with my experiences with the Navy. When I worked in the Federal Systems Division of IBM in Manassas, VA in the mid 1980s, all manuals written for the Navy had to be put through a computer-software-based review to ensure that they were at a 7th grade reading level or below.
    3
  20824. a man with a seat on the chicago stock exchange recommended a td trade acct which is free and technical analysis training and use of finviz to activate a chunk of capital set at a usd value with a trade acct. he said focus on one industry only and a few companies. ppl complained about paying taxes but he said pay taxes whatever because it is still a profit
    3
  20825. Thanks for the book recommendation.I feel the same about book smell and texture. I need that physical copy vibr
    3
  20826. Although negative numbers indicates nothing then what's the use of negative numbers , I wish you will reply for this question
    3
  20827. Amazing tysm
    3
  20828. Any math you're learning is foundational. New mathematical discoveries are also foundational. Always under construction. That zone where the safety cones are numbers, truth, and existence. Watch out for unexpected detours.
    3
  20829. Nothing better than hearing good advice from a teacher.i thank you soo much !
    3
  20830. wow
    3
  20831. jeff bezos twin trying so hard to look dif
    3
  20832. Looks very interesting 👍😊
    3
  20833. if zero does not exist, then im fucked on this Heat Transfer test tomorrow when I see steady state and go to cross out all the terms that make the problem too difficult for my brain.
    3
  20834. X2
    3
  20835. Great basics! I recall a few memorable instuctors (meaning patient and kinder) in high-school and college classes (and some not so memorable). ;)
    3
  20836. How long do you think it'll take someone to study all of these topics?
    3
  20837. How did this video pop up at the Perfect time ?!!
    3
  20838. One day I will buy all this books and stuff them on my personal library.
    3
  20839. I highly agree that most math education in schools is all about the method, they so shyly run over the story of things. So you find yourself have to solve equations over equations without knowing the 'WHY?'
    3
  20840. TRUE XD
    3
  20841. yeah ur damn right it was helpful! (:
    3
  20842. It's complex, but it is learnable.
    3
  20843. 😂
    3
  20844. love the creepy intro
    3
  20845. really thank you... I'm not studying math at university but i love it very much.. and just seeing these books it gives me a huge doze of happiness
    3
  20846. Very much valuable video. Sir has put his all years of valuable experience into this video.🙏🏼
    3
  20847. First time I hear the word THOMAS on this channel, To a degree that I thought that the prof lied to us about the its fame and the respect around it. Did you made a video about the legendary THOMAS? calculus?
    3
  20848. is it possible to do math research in high school?
    3
  20849. Picked this up last time I saw it on the channel.
    3
  20850. Thank goodness for matlab
    3
  20851. I've been avoiding this video since youtube kept recommending it (I hate the youtube algorithm try to steal my time) and before this video I 've watched two group theory videos from this channel. Then, suddenly, this video opened automatically. I find it quite nice. Thanks for the advises.
    3
  20852. Can you make a video talking about your routine, in the style of get a camera film yourself? How is be a matematician? How is the day from a professor at university.. this things
    3
  20853. Thank you! The Cengage video is literally just writing down the answer with no explanation- Thank you for your video. My Cal 2 final is next week and I feel pretty confident because of your simple understanding video
    3
  20854. this is strangely calming
    3
  20855. I gave up love, drinking and regular job to learn math at the library, while it was lonely i have zero regrets i learned how derivatives, parabolic equations simplify statistics my true❤❤
    3
  20856. If there is something that I can't solve. 🧐 Most probably, it will not appear in exams. 😎 ALWAYS BE +IVE😎
    3
  20857. Having Read a textbook in Thomas Calculus 1, 2, 3... self study---I am a web developer... Is OK now pick an Introduction to Differential Equations textbook? What textbook in ODE you suggest?
    3
  20858. Counterexamples in Analysis is pretty much an essential text, IMO. It's on my shelf.
    3
  20859. Professor I need an video about very tough problems on combinatorics for jee advanced.
    3
  20860. I have just been exploring Lie Groups and Lie Algebras this week. I recognise some of those terms on boards.
    3
  20861. what are the requirements for number theory? I m planning to take it this spring. I love these videos both the first one and this one. I took so many of these classes but I forgot how to do most of them so using this video to relearn everything is amazing. Thank you!!
    3
  20862. Took Differential Equations this semester
    3
  20863. Great video! I love your channel! I’m here since the start of this channel! Saludos desde Chile! 🇨🇱❤
    3
  20864. 4:00 My back Neighbor is building like a picnic wooden house thing, and my side neighbor is building a 2nd story, The builders like playing their Mariachi Music super loud to get into the groove. I can only study at night, in the other room, which is next to the other neighbor, whose kid apparently plays shooting games and yells a lot. 4:50 + 3:28 Taking an online exam with a LIVE camera, and my younger sister will come into my room and do her gymnastics and hoola-hoop tricks all excited to show me. Fun times 😅 😅 😅 😅 😅 😅 I MISS THE LIBRARY!! Especially study rooms omg! I remember I would pay people like $2-5 to come with me to the front desk so I could check out a room for myself (No one would ever use them, but you needed 2 people with their campus ID's on them to schedule it.) They had a really big desk, a MASSIVE whiteboard on each side of the room. and a computer with a projector onto the whiteboards. Plus all the free access to almost everyone of those juicy 25 lb math textbooks
    3
  20865. Scared me
    3
  20866. You're The best... ♥️
    3
  20867. Not a student non issue to me. You made a major score with the big book of physics from Mir publishing Prof Mathman
    3
  20868. First view
    3
  20869. youre the goat
    3
  20870. First to comment
    3
  20871. No entiendo ingles, pero contradictoriamente, entendi perfectamente, muchas gracias
    3
  20872. Awesome Brother .. . ...... Good One.... Really Happy with it ♥️♥️
    3
  20873. First view
    3
  20874. Thank you wizard master.
    3
  20875. Thanks for the video. I'm 27, and only recently started learning this lesson.
    3
  20876. No matter how smart one is, Mother Nature is way cleverer.
    3
  20877. Are you stalking me? Two days ago, I was learning about linearization. 🤣
    3
  20878. ...and that's how pro's do it! 🙌 Love your videos. The amount of problems and step by step instruction is really helpful!
    3
  20879.  @shubhadipsarkar4321  I love that too
    3
  20880. Daniel Labinjo growing up, math came to me easier than reading and writing.
    3
  20881. You got a concealed carry permit for those guns?
    3
  20882. I have started buying his and other books, used, and solutions manuals.
    3
  20883. One question what explian better the relativity theory the tenso or differential geometry. Thanks
    3
  20884. A nice vid once again, yesss
    3
  20885. Damn, I get it now, Thanks bro
    3
  20886. Do you have any tips on how to approach a mathematical book? My feeling is, that I read a book, however I don't gain the knowledge embedded in it. :)
    3
  20887. Highly appreciated!.....
    3
  20888. This dude looks life Jeff bezos with a wig
    3
  20889. If I could relearn Math, I would start with Logic/ Boolean Algebra, Euclidean Geometry, Discrete/ proofs, Abstract Algebra; and a bit of Group, set, and Category Theory. Only then would I start with Algebra with the goal of moving into Linear while preparing Trig and Pre-Cal. Math has become far easier after actually reading Euclids Elements. Dont know why that stopped being part of the curriculum
    3
  20890. That thumbnail reminds me of the Mandela Catalogue. “I know what you love. I know what you dread.”
    3
  20891. There are some difficult algebra books by george chrystal that I think you would like to have
    3
  20892. Got it sir 😊 thanks for your vedio. I learned a lot
    3
  20893. Knuth is to me what I bet Jesus is to Christians. We've both not met our hero, but the posters of him on my bedroom wall are what gives me hope during nuclear showers. <3
    3
  20894. Woah
    3
  20895. 3 words. Visual Complex Analysis. Best Complex Analysis book ever for beginners. Its by Tristan Needham by the way, and he was influenced by Polya too
    3
  20896. This will be the first day of Winter break >:))
    3
  20897. quick "proof" for the "geometric sum": assume |x| <1: let s_n = 1+x+...+x^n then (1-x) * s_n = s_n - x*s_n = 1 - x^(n+1) so s_n = (1 - x^(n+1))/(1-x) and as lim_n x^(n+1) = 0 the sum (= lim_n s_n) is 1 / (1-x)
    3
  20898. Thanks for the video!
    3
  20899. Right now I'm self studying for phd prelim exams. I'm going into my second year of my masters program and was thinking about applying for phd program somewhere else. It's definitely fun and enriching, especially if you give yourself practice problems, (i.e. proving a theorem and comparing your solution to the one given by the author or online).
    3
  20900. It might be much cheaper for American students to move to some European countries and other countries for overseas degrees, provided that foreign universities are recognised by US employers. Some EU countries grant free university education to students and some don't. In my country, university education is free to mature students. Here in Ireland, university education is a lot cheaper than that in USA. Many American students are moving to this country for that reason. Some move to Scotland, Holland, Germany, etc. Some stay with their European relations, while attending universities: therefore, that makes it cost-effective for them. The most sensible ones are avoiding overly liberalised universities like Evergreen College where meritocracy is wholly lost and need-based degrees, therefore devalued. They choose meritocracy for good reasons. Meritocracy in educational system adds values to degrees. Those who strongly disagree with meritocracy are only fooling themselves. After graduation, they realise too late when their need-based degrees are only WORTHLESS TOILET PAPERS. Need-based degrees make graduates unemployable and leave them straddled with debts for great many years, while merit-based degrees always have high values.
    3
  20901. Add “dressing like Euler” to the list
    3
  20902. Hi, sir🙂
    3
  20903. Thank you, friend! I am russian student from SibGUTI but I could understand your video. You really helped me!
    3
  20904. Math needs to stay forever; but let's get rid of instructors who are insensitive to students who are struggling with this subject. You have some instructors who are sadistic toward students who would like to learn this subject. I was an engineer student who had some terrible professors,but thank goodness I also had some great professors in math Dr.Maxwell and Dr.Steve Powers were great professors in the field of mathematics at Southern Illinois University in Carbondale,IL.: because of them I developed this affection for math to this day and I am in my 50s. Math definitely amplifies your problem solving skills.The inventor(s) of the human race are mathematicians.🕍
    3
  20905. As a 16-year-old, I am self-educating myself in math (pure mathematics) because I enjoy it. I'm planning to get a high level of mathematics. For me, the worst thing in self studying is keeping motivated and constant. Sometimes, I just wanna give up on everything, I get overwhelmed, bad thought takes my mind.
    3
  20906. Is it just me or does this guy sorta look like Jeff Bezos. 😅
    3
  20907. Book for basic arithmetic please. A lot of people watching this channel aren't good at math but are inspired by your video to learn more.
    3
  20908. Very short and helpful, I appreciate you
    3
  20909.  @TheMathSorcerer  thanks sir
    3
  20910. can you tell me in which book this problem is given?? It'll be really helpful for me.
    3
  20911. I think the book entitled the Calculus Lifesaver ( Banner, A. ,Princeton ) at 759 pp is good. Basics to difficult in one volume.
    3
  20912. Too broad a question for a straight forward answer. My algebraic structures course was taught using the framework of category theory, my math logic course taught model theory and Godel's theorems. Veteran professors tend to have some academic freedom when developing upper division courses, so they can make classes as abstract as they like.
    3
  20913. Thank YOU, Math Sorcerer!!!
    3
  20914. Love from IRAQ
    3
  20915. Hello sir I wanna ask about "calculus and analytic geometry by thomas and finney". Is it a good book for beginners?
    3
  20916. Note to self: I 'm not bad at math, I just give up too easily.
    3
  20917. This is the BEST video you've published to date. Yes, the very best!
    3
  20918. Much thanks ahh 🤌🌺
    3
  20919. Do you have any tips for getting into research? My dream job is working at CERN as a particle physicist
    3
  20920. Nice test! Never stop giving this to your students.
    3
  20921. Sir have you gone to a random (secret) place due to carona virus?
    3
  20922. Love from india ❤️
    3
  20923. Try mechanical/technical drawing as well as geometry. In that, you learn all the theorems of geometry.
    3
  20924. Right on my boy - just up & hitting Cryptography now 👍
    3
  20925. z should be -2
    3
  20926. Excellent 👏🏻👏🏻👏🏻
    3
  20927. Interesting..I had the opposite experience.. failure in math brought out my insecurities about everything else . Maybe it’s because I haven’t been doing math super long but oh well..
    3
  20928. Places I have carried my Dover Books to kill /pass time: *Local Consulate, waiting on Visa Application *Bank(s), waiting for Loan Appointment *Gov't Agencies, waiting on Services *Airplanes, when in-flight Movies are crap &...the best for last .....Toilet when I had bad Diarrhoea LMAO!! I love my Dover's to death!!
    3
  20929. A marvelously easy and fast way to explain it. Thank you very much :)
    3
  20930. Thanks for the tip, Dr. MS!!! I'm buying a copy the first chance I get! By the way, I'm gonna love this book being that it was written by three women! I love it when females choose math as a field of study and, consequently, a way of life! One of my close friends from school is a woman who teaches math at a community college in the Bay Area. She's soooooooo awesome!!! ❤🥰
    3
  20931. another great video.
    3
  20932. I am waiting for him to cover those books too. In my opinion , the intermediate Algebra book for the art of problem solving is very challenging, and time consuming.
    3
  20933. Nice video! One of the coolest-looking math books I ever saw was an excellent textbook on numerical analysis by Forman S. Acton called NUMERICAL METHODS THAT WORK. When you first glance at the original hardcover edition, you see a red cover with silver lettering that says NUMERICAL METHODS THAT WORK. However, when you hold the cover in a raking light, you see that the word USUALLY has been sneakily embossed into the cover (but not silvered) between "THAT" and "WORK". That is, the actual title is NUMERICAL METHODS THAT USUALLY WORK! This is to emphasize a main theme of the book, namely that every numerical method has its pitfalls, and without an awareness of them, one can obtain disastrous results---sometimes without being aware of the disaster. As you might guess from the cover, the presentation is friendly and engaging, and I thought it was very well written. I never studied it systematically, but I always checked it out of the library when I had a problem that needed some numerical treatment. I found a picture of it here: https://nhigham.com/2015/05/21/numerical-methods-that-usually-work/ Hopefully it will stay up for a while.
    3
  20934. This is a math channel, but it's also so much more! Thank you for your videos!
    3
  20935. I don't have the book, but maybe some solutions here : https://pages.mtu.edu/~msgocken/fdlabook/SSManual.pdf I can't find a comprehensive textbook list on Data Science, if it's possible : Learn Data Science from START to FINISH. Thank you for all you are doing sir.
    3
  20936. Genius, great alter ego
    3
  20937. Watching this instead of studying for my exam lol
    3
  20938. “Invoke” hahaha that was cool
    3
  20939. Hi. I am having trouble solving Limits and Continuity. I get really demotivated when I am not able to solve a question. My math teacher in school is very rude and she says I am a failure. What do I do?
    3
  20940. Thank u thank u sooooo much this video is very help ful thank u ❤️❤️❤️❤️❤️❤️
    3
  20941. My hypothesis on why paper without lines is better is that you can fit more onto the page and you aren't constrained by lines
    3
  20942. I have this book, the 2nd printing ... not the 2nd edition! ;-) and it is not signed. This was back in the 1980s, when the Apple Macintosh came out and when KaiFu Lee was developing Sphinx [the 'ancient' predecessor to Siri], and we were using LISP Machines to use Common Lisp, etc. to develop more structured forms of ELIZA, SHRDLU, and other classics of AI, and wrote self-writing programs that became the basis of viruses, Trojan horses, etc. [Not for hacking purposes, at the time]. But, we also wrote programs that could self-diagnose, that were applied to networking, and to cars and to planes. After programming in FORTRAN since 1973, I felt freed to be more creative when LISP environments emerged. Once I understood how to convert recursion to more structured [complex] iterations from Sussman's book, developing and integrated AI flowed easily. Two things that we developed, which were integrated into larger systems, were a program to analyze and debug compiled programs for semantic bugs, effectively an automated Help Desk, and a program to analyze complex spectroscopic data and spectra. Without LISP's structures and capabilities, those programs would not have been possible with the computers at that time. Obviously, programming environments and computers have changed in the last 50 years. ;-)
    3
  20943. Please review Apostol's two volume Calculus books. They are my favorite Calculus books.
    3
  20944. makes a mistake and says its not on the test ahahaha
    3
  20945. thanks so much
    3
  20946. LET THE BOSS = { } AND SO THE BOSS OF THE BOSS WOULD BE { {} } AND THE BOSS OF THE BOSS OF THE BOSS { { {} } } AND SO ON TO INFINITY AND BEYOND...HAHA..AAA!
    3
  20947. You should have some lecture videos on here, and if they are where can i find them... thanks for being here
    3
  20948. thanks!
    3
  20949. Hearing you overcome your struggles is very inspirational for someone like me who has always been bad at math. Thank you for your videos.
    3
  20950. Physics major here. I enjoyed solving the exercises of Whittaker & Watson's "Course of Modern Analysis" when I was a student. :)
    3
  20951. Professor: "okay so we're going to be doing this complicated problem" (Does obvious first half) Professor: "now we just rewrote the equation The rest is pretty simple It's just basic algebra I want to leave you to do that on your own time" Me and the boys who don't understand how to do that part: 😔✊
    3
  20952. There’s this awesome website called ‘classicalrealanalysis.com’. They have a series of freely available books covering subjects from the integral and differential calculus to graduate (real) analysis. You should review it. Also, there’s this book called ‘Mathematical Analysis: A Special Course.’ It was written for second - year students at the mechanics and mathematics department at Moscow state; it takes a really interesting approach because it develops ‘theory’ first and then it applies it to problems you actually see in science.
    3
  20953. Could you please explain how did you take |x+y|<2 ?
    3
  20954. I've enjoyed mathematical happiness many times
    3
  20955. Yet another great vid as always
    3
  20956. How does this man have so many books
    3
  20957. As I’m sitting practicing the magnitude of vectors for my precalculus class I stumble upon another great video. Thanks math sorcerer!
    3
  20958. This is pretty cool
    3
  20959. Pretty Cool!
    3
  20960. I need to know what’s in that protein shake! 😊
    3
  20961. This man doesn't know he also just handed out amazing relationship advice as well
    3
  20962. bro thinks he is Khan Academy
    3
  20963. After watching the video, I can't help but wonder if the author explains any of the math and if this is a book that i can read before bed.
    3
  20964.  @TheMathSorcerer  haha, thanks a lot for the reply ! I was being sarcastic because you mentioned it so many times :P , I will definitely use this book for my computer science math starting late September !
    3
  20965. Great to hear that Jay Cummings left you a comment on one of your videos!
    3
  20966. They only say do not show work is because that's the hardest shit in mankind
    3
  20967. Wowww!! What an elegant proof!
    3
  20968. u have the hair of J.S. Bach
    3
  20969. I want to learn non-standard analysis on my own, but it demands 'forgetting' (avoiding use of) so much that is now second nature to me that I am not secure.
    3
  20970. One day I'll write the book with the title, malicious set theory.
    3
  20971. 3rd!
    3
  20972. ah, crap, then.
    3
  20973. Goodnesses… very profound . I’m so glad I found you .
    3
  20974.  @TheMathSorcerer  You're welcome. Do you have any lectures about Concavity/Cuasiconcavity, Method of succesive aproximations, Contraction Mapping, Metric spaces and vector normed spaces, Cauchy sequences?
    3
  20975. Follow your own nature
    3
  20976. I'm Colombian but I did learn Algebra with the book Algebra Arrayan from Chile and of course Algebra de Baldor too.
    3
  20977. Great advice, and so true, i'll try and remember that. I read this the other day: we only find what we look for.. and we only look for that which we believe
    3
  20978. “It’s electrical engineering, so maybe it’ll have some math in it, right?”
    3
  20979. Hey review on books of Classical Mechanics, Hydrodynamics & viscous fluid Dynamics 😁 Love from India ❤️
    3
  20980. Nice video! I'd love to see you doing this format of video review with Lang's Algebra or Dummit Abstract Algebra hahaha.
    3
  20981. I dont understand anything it doesnt explain anything enough
    3
  20982. your channel is growing so fast!
    3
  20983. I really appreciate these videos man, thanks for the information!
    3
  20984. Calc 3 is the easiest course in the sequence by a mile
    3
  20985. Hello, do you have some mathematics books from Mir Publisher ? if you have could show to us?. thak u. Great collection.
    3
  20986. It does help. Thanks a lot. Have a nice day.
    3
  20987. Jeff jeff bezos?
    3
  20988. To me 0.) Relations (equivalence, order, class of equivalence) functions. 1.) Sets 2.) Algebric structures a.) groups b.) rings c.) fields But every subject it's a new Book Not bad saracino, but not deep
    3
  20989. Appreciate your work man! Thanks for the math information!
    3
  20990. Amrit Grewal are Lebesgue integrals that hard ? I have always been facsinated by aLebesgue integrals.
    3
  20991. Mystic goggins
    3
  20992. Kreyzig is an excellent author. His Advanced Engineering Mathematics book is absolutely the best!
    3
  20993.  @johubify  Np! It was just a really minor mistake. And holy... 7th language! I'm still learning English and it's only my 2nd language. 😂
    3
  20994.  @TheMathSorcerer  They used to also require differential equations for a CS degree! But they dropped that a couple of years ago. I just looked, and both the "Math" and "Computational Mathematic Sciences" degrees require students to take the same first two programming classes that CS students have to take, and the computational version adds in some of the discrete math/algorithms stuff, so I am think you might be able to double major in 6 extra classes or so, but if you use your elective credits for those crossover classes it is really close.
    3
  20995. Do a video about the paradox of 0,999.....=1 if you want please,it's fun!!!
    3
  20996. Marvolus
    3
  20997. Thanks dear I struggled before with similar problems
    3
  20998. I mean if I had supportive people in my life I wouldn't clicked on this video,😭
    3
  20999.  @Zebachi  ​ @Zebachi Indeed. It's a good thing that Math degrees are so flexible. But I wanna go to a grad school (to get a PhD) and become a researcher. Maybe I can complete my undergrad in Math and get a PhD in some math-related field, like physics or something. It's funny because I really used to love Math, but I don't feel like that anymore. I wish I could "fall in love" with Math again.
    3
  21000. ​ @_kainya  That's another valid route that you can take. Are you mainly experiencing burn out?
    3
  21001.  @Zebachi  Probably. I guess I'm too tired of college stuff. 2020 was a little too much.
    3
  21002. I probably won't read this book. I calculated the probability.
    3
  21003. What a great message for so many!!! Thank you
    3
  21004. Proofs and fundamentals by Bloch 🙃🙂😏🙂
    3
  21005. man your content is pure gold, thank you. for real.
    3
  21006. Very helpful—you’re amazing!
    3
  21007. A candle by your lamp always seems to help me relax
    3
  21008. Been waiting for this!
    3
  21009. You really are a math sorcerer lol! Indeed, you helped me a lot, was struggling for several minutes on doing this integral, yet it was so simple ... Thank you again!
    3
  21010. Where did you purchase this book for at <$10?
    3
  21011. I have to say your house layout throughout your videos has been amazing to watch as someone who just bought a house. Been watching a lot of your videos and really appreciate and love that you always provide amazon links! Will be looking to get these bookshelves in the next couple of weeks! Cheers :_math:
    3
  21012. im bad at math and i make silly mistakes
    3
  21013. First? 😄
    3
  21014. Thanks for not making this 10:00 long
    3
  21015. Ur honestly awesome
    3
  21016. That was a really nice little problem, im still on my math journey and proofs seem so ethereal to me
    3
  21017. Wow. Just wow.
    3
  21018. Another nice video :)
    3
  21019. People who never liked math because it makes them feel stupid: As if I needed a reason! Me: Idiot. You cannot comprehend your own stupidity, as math is about humility through understanding. Only a fool unwilling to learn would even suggest such a concept is stupid. Me after two seconds: Yeah, math is pretty hard. I like writing better.
    3
  21020. Lmfao textbook example of a high iq outlier who is completely oblivious to their own intelligence. Guy is a literal doppelgänger of Jeff Bezos, who was literally in a gifted program, and exhibits traits and behaviors of one who is "highly gifted". He also exhibits those same traits. Perfect example of rich unaware of their advantage saying "money doesn't matter" or intelligent saying "intelligence doesn't matter". Obvious traits of considerable neurodivergence. Sad part is that he seems to genuinely believe due to lack of research and introspection. That aside, you have the best math channel on Youtube, and it's encouraging me to get a math major.
    3
  21021. How do you track your progress with self study? A year into studying a topic (or several) how do you know how far you've come? Do you keep a log? What tips do you have for self study?
    3
  21022. It is really cool that you try to help us that are behind in math in general or in science , on your free time . Thank you
    3
  21023. Answer is -1/√2
    3
  21024. Note that the e_Ge_G is under the operation of G, whereas f(e_G)f(e_G) is under the operation of H.
    3
  21025. Thanks alot. It made my work easy
    3
  21026. Thank you math sorcerer for your genuine words
    3
  21027. Math is beauty and teacher like you make it more beautiful.
    3
  21028. You can become a Master of anything by doing it 60 minutes a Day.
    3
  21029. Hi
    3
  21030. maths needed for physics from basic algebra with book recommendation video please 🥺🥺🥺🥺🥺🥺🥺🥺
    3
  21031. Man I wish I went to the university you teach at just to take one of your courses!
    3
  21032. Great video
    3
  21033. I miss being a mathematician. Had to give up most of its rigor to survive working in the corporate jungle. Analysis, topology, measure, functional analysis, manifolds and algebra were my tools for the longest time.
    3
  21034. Calc 3 was the hardest. I was flabbergasted at how I past.
    3
  21035. Okay well now you have to play league with me
    3
  21036.  @TheMathSorcerer  I bought one hardcover used for 30 reais (Something like 6 dollars) when I was a little physics undergrad.
    3
  21037. I have the pen in this video, in fact, I have 3, it is amazing and just glides across the paper, 100% recommend.
    3
  21038. Do you normally have your coffee with or without milk?
    3
  21039. This video was a HUGE help! THANK YOU!
    3
  21040. Thanks sirr
    3
  21041. To be honest mate I don't like the emotional music in the background — I don't like it in videos generally. Here's a video I watched today of a scene in Breaking Bad: https://www.youtube.com/watch?v=G8sVl0kcmAg&ab_channel=FuchiRoD See the top comment; there is/are upload(s) of the same scene with emotional music — I didn't like it and it seems I wasn't alone.
    3
  21042. Oddly, I disagree. I preferred the emotional music.
    3
  21043. I have read both. This one when I was 21 and Security Analysis when I was 24. I consider these as the absolute best in this matter. Alongside the Wealth of Nations by Adam Smith one has the best foundation I shall say in this matter. But bear in mind these books are not just to be read but studied. Just reading them probably won't take you anywhere unless you do not intend to act upon them.
    3
  21044. Thank you. This was very helpful. I was a bit confused at first after looking at it again and writing it out I understood.
    3
  21045. Check out the "Who is Fourier?" by Transnational College of Lex. Despite the title - it's not about the Fourier. It's about Fourier Transform. And it's super easy book to understand, similar to Calculus Made Easy or the "Head First" series of books. It has a lot of illustrations.
    3
  21046. This man is priceless
    3
  21047. Great, great advice! Thank you.
    3
  21048. really cool lmao, prefer the quadratic equation tho 💪
    3
  21049. Thanks sir for explaining in a very good way
    3
  21050. Looks about right
    3
  21051. Nice
    3
  21052. I hate books that do not at minimum give answers to every problem in the book. As well, I think for example they should have solutions listed for odd or even problems.
    3
  21053. These are good as reference books though. Nobody can actually do all the exercises. I do like that he has a hardness ranking on the exercises.
    3
  21054. Please make a trig course!!!!!!!! 😢 how long would u estimate it would take?
    3
  21055. Will you upload a book series for master in real analysis?
    3
  21056. thank you so much sir by using this method i can solve any question of this type
    3
  21057. Hope i can reach lvl 3 im self studying
    3
  21058. 🙋🏻‍♀️
    3
  21059. are you related to jeff bezos you look like him
    3
  21060. Sir do you know JEE advanced exams in India do you have a playlist of this exam I saw one of your playlist is based on jee main
    3
  21061. Thanks a lot. Was learning trig identities when the notification came up. It's really helpful.
    3
  21062. Great advice. I always keep a gratitude journal on the margins of the pages of some of my math notes. Helps keep things in perspective.
    3
  21063. Hey, gracias :)!
    3
  21064. Linear algebra and it’s applications by DC Lay
    3
  21065. “Legend-der functions” 😭 All physicists crying at the butchering of a great man’s name.
    3
  21066. Are there any other beginner math books at this level you'd recommend? I'm not doubting the book itself, but I'd like one that doesn't look so kiddish.
    3
  21067. De acuerdo thomas y stewart , leithold , también...... saludos greetings
    3
  21068. Optimists can be realists but we look at the positive side of a setback. From my experience, realist tend to beat themselves hard into the dirt when it comes to a setback. But that's just my experience whenever it comes to optimist and realists
    3
  21069. I was thinking of Casella and Berger when I saw this video. I used it in graduate school and I still own it. It's a great book and it's very thorough.
    3
  21070. Hello Sir, I am 12 years old/ am in class 7. I love mathematics and want to be great at it. I want to master mathematics and also win Olympiads like IMO. What would be your advice to me, and what resources and steps and all would you recommend to me.
    3
  21071. You are good
    3
  21072. Perfect! That's all I needed. Short and sweet. Thank you!
    3
  21073. W O W !!!
    3
  21074. I really want to start pdes and go through and start a discrete math book before I start university next year!
    3
  21075. I just discovered your channel and I really like it. What do you think about Tom Apostol calculus book?
    3
  21076. Great Video!
    3
  21077. Nice
    3
  21078. best way to start a wednesday hahaha. Thanks for the awesome motivational video. We need more of these especially in the math community.
    3
  21079. Thank you. I have a lot of self-doubt. I needed to hear this, along with many other people
    3
  21080. Here's my tip for self-study (depending on the topic): when selecting a book, make sure there's a rich supply of problems, with at least a partial answer key (the odds, for example). I think it's so valuable to get instant feedback to find out if you're solving correctly. Also look out for worked-out solutions to example problems within the text, such as: "Example 3: Blah Blah Blah." followed by "Solution: blah blah blah (step by step)" What I look for is whether the "Example" is properly posed such that anyone could solve it as a stand-alone problem. There are some math books out there which introduce a lot of new material in the body of the worked-out solution, which wasn't given beforehand. That's one style of writing a textbook, but it's frustrating if you're expecting the "example" to be doable without the "solution." Just a pet-peeve of mine! If you're studying any field of math up through differential calculus, please consider Khan Academy, as the math problems ALL have step-by-step worked-out solutions available, not just the answer. You can click 'get a hint" and it will step you through each problem, giving you the opportunity to solve the problem at any stage. Sometimes all you need is a shove in the right direction. 🙂 And it's free.
    3
  21081. The Tony Robbins of Math!
    3
  21082. math and lifting goes hand by hand , even if it doesnt look like it!
    3
  21083. The amount of notation in this random math video I decided to watch on a whim that I do not know is staggering. That thing that kinda looks like epsilon? What does that mean? {x>0| x} or whatever/however you use it? I've graded a paper where the answer key used that notation, but I don't think I've ever used nor learned how to read that. The subset thingy, I don't know what that is, I've seen a YouTube video where someone complained about an alternative way of writing that symbol and how it leads to unnessisary confusion. Do I know at all what it does? No, I do not. Have I ever seen f^-1 represented in that manner? No, I have not. Do I know what that x looking thing with a bar above and below it is? Not at all. But I'm not gonna mess with your watch time. If anyone can just drop a phrase I can look up to understand any of these things, I would appreciate that.
    3
  21084. Nice video, thanks for sharing!
    3
  21085. thabks a lot. really helpfull
    3
  21086. can you please recheck the example as im getting 16/3 using simpson rule.. and also for 4f(3/2), 3/2 hasn't been cubed while solving..
    3
  21087. Hey man could really use some advice. Got a B+ in a grad course today and an A- in a fiber and I think I bombed my chance of a top graduate school. I feel like my future has crashed, any advice?
    3
  21088. Solid review, good option from Dover
    3
  21089. You are a good man,You help people so much.thank you
    3
  21090. The million approachs sorce big congratulations follower from Yemen
    3
  21091. How can anyone say TA is useless? You can literally back test things? Even if you’re right 50/50 if you have the right tools and plan in place you can literally win! In my humble opinion as someone who’s been trading and investing for less than a decade with increasing levels of success it’s all about learning your emotional profile and what triggers your emotional responses and having a plan to deal with that and everything else. No half assed anything. Basically be a robot.
    3
  21092. . Keep Up the good work🎉🎉🎉❤❤😊
    3
  21093. Nice!! Thank you sir
    3
  21094. Great! Do you have Calculus 2 Lectures playlist? I can't find it, hope you do some more videos about improper integrals and sums. Thanks!
    3
  21095. Great video, I will be following your recommendations as a New Years resolution. On each subject you show at least 2 books, Do you recommend we do both books on each subject or just the 1? Thanks!
    3
  21096. Merry Christmas to you sir and all your family
    3
  21097. My teacher just doesn’t respond to my questions about homework 😐
    3
  21098. Well, my math course is a distance course, classes are available on the college website (we only have tutoring at specific times). due to the fact that I work, I can never go to tutoring. So I consider my greatest achievement in mathematics is to learn all the subjects of the courses in a self-taught way. This has positive and negative points, but I feel that my mathematical knowledge is very solid. Is there such a distance college in the USA? just curiosity.
    3
  21099. Really like your channel :)
    3
  21100. LaTeX is your friend :)
    3
  21101. I have a midterm tomorrow in mathematical structures - this was perfect thank you!
    3
  21102.  @TheMathSorcerer  or drop out is perfectly fine too I guess, lol
    3
  21103. Nice 😁
    3
  21104. we do a little trolling
    3
  21105. ah yes, it's a known fact that all mathmaticians have to serve 2 years developing weapons of mass destruction for the military in order to get their title.
    3
  21106.  @UrinTrolden  Yes yes I get your point, I was having a bad mental health day. I was listening to an AI scientist I like talk to a rocket scientist and they were musing on how we require cold wars to fund projects, and it broke my heart. Spent the whole day depressed.
    3
  21107. Professor how can I attend maths class in your channel
    3
  21108. im a psychology major... changing to fashion design... idc
    3
  21109. Fourier is so cool, hope he teaches a lecture on that
    3
  21110. Дуже цікаво.
    3
  21111. I think a more friendly introduction that still explores a lot of beauty and develops interest is How Not to Be Wrong by Jordan Ellenberg. I became a math major after reading that.
    3
  21112. I've seen this before :D
    3
  21113. My next video: get better at math in 1 week. Let’s see how fast we converge to zero 😄
    3
  21114. I’m a simple person, I see Brazil on the title and I click
    3
  21115. How many books do you have in total?
    3
  21116. Would you teach some school students if they are very eager and very curious to learn and want to be great at mathematics. Thank you.
    3
  21117. Hey math sorcerer, I have not started mathematical logic, should I get a book that talks about it before getting this one or do they also teach it in parallel to proof writing
    3
  21118. Very interesting
    3
  21119. I Love these books. I purchase them off Amazon, then go to my local printer and spiral bind them.
    3
  21120. Thank u very much.... I understood this problem....😊😊😊
    3
  21121. Thank you from Brazil!
    3
  21122. My problem, I think, was that I was over-thinking it. Algebra I was a disaster because my homeroom teacher didn't believe eight-graders should be learning algebra. So I was stranded in 8th grade math, learning principles I had learned in 4th grade and in summer school before that, along with the juvenile delinquents of my class "Hey, Teach, what does 'poipendictla' mean? Haw, haw, haw" It was only the woodcuts and snippets from Alice, Through the Lookin Glass in my math book that got me through that. When I got to Algebra I it was with those same juvenile delinquents who had our old teacher so cowered she had the principal sit at the front of the class a few days to maintain some semblance of order. In Algebra II I was puzzled how the star students could give instant answers when the teacher asked "What are the factors of 6 here?" "-3 and -2!" Really? Why not -2 and -3 or 2 and 3 or 6 and 1 or -1 and -6? I could come up with a dozen different ways to solve any equation, a few of which were reasonable. How did they know the exact answer instantly? When I went to the teacher for help I told her I didn't understand factoring. She said that was nonsense, I couldn't have possibly have come this far without understanding factoring. "Stop wasting my time!" I failed that class. It wasn't my study kills that were wanting (well, some), I just needed a few things explained to me. In college I took remedial Algebra, then a lower remedial Algebra that split the previous class into two, then a lower remedial Algebra class that split each of those higher two classes into four so we could go over the material more carefully. I made it through those, trying hard to not overthink it and I even passed trig. Then I switched to Arts college which had no math requirement at all, and then bailed from the university to go to the trade school to learn computers where the math requirements involved binary and other number bases (which I had played with extensively on my own in 8th grade) and set theory and matrix operations (which all reminded me of stuff I had done in New Math in elementary school). That was forty to forty-five years ago but it still bothers me. I let my computers do the math now, if I can find the right formulas for them to calculate. They are excellent calculators. I'm not so much.
    3
  21123. I used the 2nd edition of this book back in 1977. Book was good professor was not so good, it was a big class at UC Berkeley with lots of student anonymity and students loved howling at the professor when he tried to do a problem and failed so many times. We didn't cover every chapter in one quarter which was about 9 weeks of lectures, so I kept it to this date. He got back at us in the final exam! lol.
    3
  21124. Can you show some solutions to difficult and useful math problems on your channel
    3
  21125. 👍👍👍
    3
  21126. THANK YOU!!!!!!!!!!!!!!
    3
  21127. Math Goggins. Havent you thought about going on some motivation channel podcast? I guess it would be a great idea to popularise math and the message youre trying to spread
    3
  21128. bro put 10 into STR and INT
    3
  21129. I will check out his books soon. Thanks.
    3
  21130. Thank you sir. I'm in an ongoing battle with anxiety and depression, and you just help me win today. I'm trully grateful.
    3
  21131. Thank you
    3
  21132. This is one of those video which id probably be watching at 3 am😂
    3
  21133. I always found trig very easy. One of my favourite parts of math class but I have a photographic memory. And although that is not proven to be a thing, I can look at a map for 10 seconds and still draw it for you a year later.
    3
  21134. hey man can you help me with this please the question says: proof that there is at least one real number x ∈⟧0,1⟦ that verifies cos(1+x)=x
    3
  21135. I feel like a wizard trying to learn math.
    3
  21136. "Try to apply that careful thinking to your life situations." Believe it or not, this is good advice. Obviously, don't start throwing QEDs around in conversations with the chef, they're probably not gonna know or care, but I remember trying to employ this careful approach to problem-solving with things outside of math specifically and it was very helpful. The logical thinking process, anyway.
    3
  21137. This helped me a lot on my homework, thank you so much
    3
  21138. Dang, thank you. I dont know why my professor makes these so complicated.
    3
  21139. This is most definitely true, I got a 50% on my first calc3 test haha. But luckily that's only motivating me to work harder.
    3
  21140. Hi professor, Can you please make a video on your experience studying math while listening to music, if it is a good idea in your experience. The type of music will be classic or those beats songs for studying. I will appreciate it if you cover this subject. Also, if you can make a video or include, how often to change between subject while studying, for instance between calculus or statistics
    3
  21141. Thank you! You are the best! You just saved me from my upcoming Oral Recitation 😊
    3
  21142. The Math Sorcerer Thanks! I’m using the Lang textbooks, although not the most recent ones because they’re too expensive. Do you know of a good resource to check proofs?
    3
  21143. I'm doing a business Btec, I study math in all my breaks and lunches on every friday on known concepts(about 3 hours at most, then I go at home and for about 2 hours i do mathematical research( or try to discover something new), I plan to do this for at least 10 years.
    3
  21144. Watching this at x2 speed 😂🚜
    3
  21145. Or they could teach corporate enterprise
    3
  21146. I heavily disagree with the first advice, it is impossible for me to follow the class if I try to write down, and I have in my literature what I am supposed to learn in order to pass the oral exam, it is very important for me to be able to ask questions about what we are being taught, and I can't do that if my brain is turned of, trying to copy whatever is written
    3
  21147. Do you have any videos on making a math notebook or organizing notes for math?
    3
  21148. Thanks you for this.
    3
  21149. Calc 2 wasn’t necessarily hard but it was super tedious
    3
  21150. I thought this was a video on abstract algebra.
    3
  21151. I am glad your channel is growing! That said, you know Advanced Calculus can look like very many different things! You mean, Analysis? I think Complex Analysis or Topology are the hardest but also the most fun!
    3
  21152. Thankyou for advice sir
    3
  21153. I just did integrals for 5 hours on my third day of calc 2. I can confirm this shit is hard😂
    3
  21154. I started my journey at almost 24 too. I’m still 24 ha. Let me tell you, I was upset at first that I started learning high school level of stuff at my age but now I’m almost done with calc 1 and general physics. Im beginning the transition to classical mechanics and supplementing with set theory, stats, and much more.
    3
  21155. I was waiting for this video for a long time. I guess, I'm not the only one. 👍
    3
  21156. 👍👍👏🏻👍👍
    3
  21157. Sir i need help can you tell me what is the linearity of this equation (dy/dx)= √(5x^2+1)
    3
  21158. I wonder if you could provide a pdf copy of your ordinary differential equations by larry c andrews 😅
    3
  21159. Someone told me this book was too advanced for beginners
    3
  21160. yoooo you are jacked?????!!
    3
  21161. I learn math very slowly. I have had to retake calc 1 and 2. The first time through both of these classes I failed no matter how much time I sunk into them. The second time through I passed both classes with maybe a 1/3 of the effort. I have found this very frustrating. This last semester I took linear algebra and I could not seem to retain any of the information. I could listen to the lecture and understand and it would seem pretty straightforward and easy but during home work and tests nothing would come mind about how to perform any of the problems.
    3
  21162. The big problem in math is, simply, you never get thought how to think, same with english, whatever other subject, concept. You need to think like an mathematician to be good at math. Sure, the most worst mathematicians like me know WHEN (key word ) to apply pythagoras theorem. And know it , cause its simple and makes sense. Math is problematic cause it forces you to think in a certain way. The "right way" which is the only way to solve problems. Sure, there are problems and steps you can take to give an accurate answer or lead up somewhere that is correct, but some people cant simply understand it. And its no wonder people say "yeah, you are born to be good at math", kids that are good at math are by pure luck ( everyone thinks diffrently, and the way they think is right when it comes to math.) So pure luck. So you have math,physics, chemistry people and you have geography, history, biology, english people like me.
    3
  21163. First
    3
  21164. Thanks for the review! I just loved the proof - really made my eyes light up :)
    3
  21165. You just described my college life. Going from school to college it felt like I just got nerfed hard
    3
  21166. Love it.
    3
  21167. Heey! I was hoping you can do a video about how to deal with math problems.. I mean how not to get afraid of doing them. Because I'm having this issue of getting really nervous whenever I started one.. It's this constant feeling of pressure of not being able to do something right for once. Thank you again!
    3
  21168. I just ordered An Elementary Introduction to Mathematical Finance by Sheldon Ross
    3
  21169. It definitely changed my life. I remember in High School, I failed Into to Algebra in 9th grade. Ugg, I was lost! I went from that scared little boy to getting a BS in Mathematics as my first degree. After High School I kept going back for more Math and it became easier and easier as I slugged though it. That is just the tip of the iceberg! Math changed my big time!
    3
  21170. Well, all areas are filled with horrible people. It's not the way to go about it
    3
  21171. Would you recommend using these books as the primary self study material? That is the impression i got Fein this video. Or are you envisioning the an active collage student working on these books after class? Thanks in advance!
    3
  21172. Thank you Math Sorcerer!
    3
  21173. Remember the correspondence courses we could order back in the day from hobbie magazines that would teach you math and electronic principles. Did quite a few of those. You would do the exercises and take the exam in the back of the work book and send it in for them to correct it and send you a little certification. It was more for a feeling of accomplishment, but we did learn quite a bit.
    3
  21174. Passion differentiates mere work with art. At least as I see it, we work everyday in many things, be it either our daily chores or our responsibilities; when passion is the drive and not simple duty, it's then when we do things with interest, with curiosity, with awe. Even though I'm still in the early game of maths, and I find a lot of things amazing, the way math describes the world around us, from the simplest logic and the humblest proofs to the titans which were built upon bricks of ever increasing concepts of abstraction; I doubt I will stop getting surprised until my departure from this world. If latin is the language with which I pray, maths is the language with which I hope to ponder. And even if I face a problem that I recognize but can't solve, I'm grateful, because one day, I will look back at that problem and then the next one that was harder, and so on, a reward in confidence and a healthy laugh. Thank you Math Sorcerer, you and many others continue to inspire me, and I'm sure many more will be in the years to come.
    3
  21175. beathoven came back alive
    3
  21176. Thanks Math Sorcerer 🙏
    3
  21177. I enjoy applying math to the world. Every time I successfully apply math, I'm able to understand the world a little bit better.
    3
  21178. Newton+bezos=you
    3
  21179.  @TheMathSorcerer  I am not sure if Ballard was in the Navy. He does do a lot of Navy surveying.
    3
  21180. Grades dont motivate me at all. I love learning, the act of mastering a concept is what motivates me(I study physics). This usually results in good grades anyways and I dont give a shit if someone judges me for a bad gpa when I was horribly depressed and suicidal and couldnt get out of bed most days for multiple semesters. Fuck anyone who cares about gpa rather than actually caring enough about me to find out if I know what im doing before hiring me. I know this is basically everyone but imo that just means basically everyone is a being amoral in their employment selection. Give me a test of some kind that shows ill be able to do the job rather than just looking at my gpa which is an AVERAGE. Also based on my experience tutoring university students(mostly engineers from one school), cheating is rampant enough that i'd guess about 40% of people dont properly know what they're doing when they graduate anyways, and gpa is usually not a good indicator of whether or not they do. I think even requiring a degree for almost any job is downright silly and if employers cared about people rather than profits theyd actually find good fits for the position rather than having a checklist that mostly just filters out the disadvantaged.
    3
  21181.  @TheMathSorcerer  Yes. What book have you got? Could imagine logic being something you're into.
    3
  21182. Thank you man!
    3
  21183. Very clear, thank you so much for making these videos !
    3
  21184. It lists for over $900.00 on Amazon. That's about $10.00 over my budget for a book.
    3
  21185. Cool
    3
  21186. Thank you so much for putting these videos, I really can’t thank you enough. The alligator part was so catchy that I let that idea stay in my head rent free for a lifetime.
    3
  21187. I really need to read this right now. Thank you.
    3
  21188. Haha "the rocket ship" problem. We had one while learning positive/negative parabolas.
    3
  21189. an entire page worth of paper for this 1 question, thanks so much
    3
  21190. Love from India
    3
  21191. Great video
    3
  21192. God Bless🙏🏽🙏🏽🙏🏽🙏🏽🙏🏽🙏🏽🙏🏽🙏🏽🙏🏽❤️❤️
    3
  21193. Please suggests a book for Galois theory other than artin's
    3
  21194. I found a lovely book in pdf called Calculus by Agnew, (c) 1962. I'm enjoying the style.
    3
  21195. thanks again man
    3
  21196. The last one 🤣🤣
    3
  21197. Embracing the difficult not only applies to Mathematics, I'd say its key for life. Learning to dance in the rain is LIFE!.
    3
  21198. 1빠
    3
  21199. Your videos always make me happy. Your videos are getting exponentially better. I like the music you added to the video as well.
    3
  21200. Watching this as I struggle to understand when to use the Lagrange multiplier and when not to. Fun times 😅
    3
  21201. 1:41 this highlights a problem with older engineering books. While many topics (like circuit analysis and wave theory) are timeless, the chapter about mercury arc rectifiers is likely only of interest for EE historians, as these units went extinct around 50 years ago.
    3
  21202. lol I was so jealous after seeing the other algebra video
    3
  21203. Bro u look like a genius
    3
  21204. Hey math sorcerer which book for calculus is better the one by spivak or the one by louis leithold? Also did you know that Sege Lang also wrote a book called 'Basic Mathematics' which is for math that is typically covered in algebra and trigonometry classes. Maybe you should check it out since he's one of your favorite authors?
    3
  21205. Do you have bookshelf recommendations? Like places to pick up good sturdy ones for a bargain?
    3
  21206. Thanks sir it was really needed. Love from India❤
    3
  21207. What do recommend before taking a differential course
    3
  21208. Can you list "bibles" for other topics? like combinatorics, graph theory etc.
    3
  21209. LOL you should do a collaboration with flammable maths, andrew dotson, and the whole gang
    3
  21210. I have some books on this topic, and I'm studying them. This topic might have been forgotten, but it seems enourmously important for geography, astronomy etc. So, my question is - why it has been forgotten like this? What branch of math took its place?
    3
  21211. Sometimes you just have to support yourself. It can be done. ✌️🌸🌸🌸🍀
    3
  21212. thanks!
    3
  21213. Thanks sir😊
    3
  21214. LOL
    3
  21215. I really get motivated after watching your videos. I feel like one can achieve whatever they want. Especially through self-study one can learn everything.
    3
  21216. The book (great one) is for serius Linear Algebrist, like Baby Rudin for Analysis, Jackson for Electrodynamics, Goldstein for classical Physics, Sakuray for QM, and Kolmogorov for Functional Analysis Do you need an easy way..... Ok do chemistry
    3
  21217. Just wanted to tell you that your videos are awesome, and super clear and helpful. I used some of them to prepare myself for a test I just had and I got a very high score on it. Thanks man
    3
  21218. I have the same whiteboard lol
    3
  21219. Thank you for your great clips. Would you pleas recommend some basic math books with solutions in it. I bought this book but as you said unfortunately there is no solution in it. And I am kind of lost with it. Once again thanks for your passion and efforts.
    3
  21220. im a painter but im constantly thinking about space and forms, so these videos are an insane source of information for those of us that really want to understand the why behind things. do you have any particular recommendations on how to learn geometry from zero? i believe we could be making great paintings understanding non-euclidian geometry and the way space really works
    3
  21221. 1% is to kind, more like .01% top performers lol
    3
  21222. Thanks for this video. I'm glad you lead us to an awesome resource. Do all graduate schools require you to submit GRE scores and a bachelor's in mathematics?
    3
  21223. The hardest major is English...since STEM students avoid it and dislike it like the plague. Hahahah
    3
  21224. hola
    3
  21225. A great vid as always
    3
  21226. I love this guy! He is the mentor I need when I was in high school.
    3
  21227. Normal Youtubers : "Don't forget to like the video and subscribe to my channel" TheMathSorcerer : "Don't forget Attitude, Concentration, and Effort. Good Luck." What a legend!!! That did help a LOT. Thank you so much
    3
  21228. Mr.The Math Sorcerer can you help me to choose which degree should I study for?I need to choose between “Mechanical Engineering” and “Physics” because I need to choose a degree which has a lot of math(I love Math❤️) So please help me.Im so confused.Please🥺🥺.I hope you help me ✌🏼✌🏼✌🏼
    3
  21229. I can focus on math for hours but without any process
    3
  21230. You look like Jeff Bezos with hair
    3
  21231. I think you need to qualify what you mean by "best".
    3
  21232. yeah, this is great advice, it keeps one in control and allows things to be balanced rather than feeling that all is lost.
    3
  21233. This was so helpful. Thanks!
    3
  21234. Thank you
    3
  21235. Thank you very much. 👍👍🙏🙏🔝🔝👌👌
    3
  21236. Thank you so much. Please do more analysis problems :))))
    3
  21237. Just use the Pythagorean identity
    3
  21238. Great Video !!! I was thinking about buying a physics book lately and study it simultaneously with math. Great guide! I might buy the Schaum's outlines in physics.
    3
  21239. Book repair would be a great video.i was going to ask you about that.
    3
  21240. I got a copy of a translation into Spanish. There are something like 3000 problems in the book but at the end of the book all of them have answers. Impressive. I am referring to the book called "Problemas y ejercicios de análisis matematico" --Demidovich The Differential Equations and Calculus of Variations book also has answers in the back, though not as many problems as the book by Boris Demidovich.
    3
  21241. :)
    3
  21242. This is an interesting idea. Great if you can do it.
    3
  21243. Thank you so much!! You saved me, I didn't understand calculus really well, but now I'm starting to understand it, thanks for this amazing video ❤️
    3
  21244. Please react to the difficulty for maths section of the advanced and mains of jee examination
    3
  21245. Thank you, prof.
    3
  21246. Fantastic explanation. Thank You Sir.
    3
  21247. you have no idea how much your helping me!!
    3
  21248. What is that Applied Math book on the bottom left corner with blue font?
    3
  21249. Dude...people are loving your recommendations and on eBay are selling these books used for $70+!! I really dislike greedy people!!
    3
  21250. It is specifically about math, but really about life
    3
  21251. I don't understand but however is it you are good
    3
  21252.  @TheMathSorcerer  ah, one of the shorts. Glad I'm not going crazy.
    3
  21253. I am good at dealing with failure and i deal with it by crying. Thank u for a nice advice.
    3
  21254. This is the video I have been searching for YHEARSSSSSSS
    3
  21255. Thank you for taking the time to makes these videos! Sometimes a person is lucky enough to get to hear exactly what they need to hear... that person was me today:)
    3
  21256. Are you allergic to training neck or do you just want to have an insane sleeper build?
    3
  21257. Dang I don’t even have a zoom meeting. It’s just math lab with lectures from a blonde lady from the 90s or early 2000s
    3
  21258. If this is written with LaTeX, im not surprised...
    3
  21259. 5:18 am I watching a math video or a biological demonstration :p
    3
  21260. i like your review of these kink of books
    3
  21261. uffff what a nice picture, finally I can see your Swokowski Calculus Book, I had an spanish version but unfornatlly I lose it. Greetings and Thanks for one more video! I think that they dont give us all the answer to meke us think and try another ways to find out if we did it right.
    3
  21262. Sir Can you make a vedio on books for engineers.
    3
  21263. I bought it from Brazil! I can't wait to find my secret code! :_old:
    3
  21264. This video is fake, you can start learning math but you can never finish it. Math has no end, it is filled with infinity.
    3
  21265. thank you
    3
  21266. TIL time spent talking about math > tea drank while talking about math
    3
  21267. Really great advice
    3
  21268. Keep this stuff up!
    3
  21269. neat
    3
  21270. Please review Math Methods by Riley, Hobson and Bence
    3
  21271. When will you do a video about the incompleteness theorems of Godel ?
    3
  21272. what if in the original function it's x^2-4 instead of +4? How would that change the steps to for x to be greater then or equal to zero? Or would they not change at all?
    3
  21273. I’m an Engineering student but I had to watch this as it’s in my recommended.
    3
  21274. I assign time for your videos to understand some areas of Maths, I'll give it a go with long pending interesting book/topic on Math for 30 minutes. Sounds really interesting Merry Christmas🎅🎄🎁
    3
  21275. High executive function can be difficult for people who enjoy figuring stuff out.
    3
  21276. It’s willingness!
    3
  21277. In germany my first lecture in my very first semester was peano axioms. 2 lectures later we were discussing dedekind's cuts. We were all just some kids coming fresh from high school lol.
    3
  21278. This ain't just the Math department. It happens in Engineering too.
    3
  21279. Your mini-board is awesome!
    3
  21280. Awesome as always
    3
  21281. Really awesome 😏😏 sir
    3
  21282. I understand a mathematical proof of collatz conjecture.
    3
  21283. Do you have any very math-specific advice? I read somewhere (Halmos?) that it was helpful to change the notation when going along with the argument in a book.
    3
  21284. bro I thought you were jeff bezos
    3
  21285. Thanks so much for the video!
    3
  21286. In a nutshell book doesn't look into the derivative of sin (2x) for example? Interesting
    3
  21287. the sorcerer really just did bust out his spanish and it was surprisingly very very good 😊😊
    3
  21288. Hairy Jeff Bezos
    3
  21289. wohooo firstst
    3
  21290. Before a test i have a pint of Guinness and a Chaser, smoke a Cuban cigar. The rest is a piece of cake.
    3
  21291. 와 멋지다 나도 갖고 싶다
    3
  21292. If you’re going to grad school they do matter. If you are not thinking about getting into another school, grades don’t matter (I got a horrible grade on a Human Anatomy and Physiology class but, I learned a lot and I still remember almost everything, except for some very specific terms).
    3
  21293. But the book is without proofs
    3
  21294. damn, was just feeling extremely overwhelmed by my PDE class lol, you specifically mentioning it really lifted my spirits
    3
  21295. I'm 44 and I don't care if some people think that's too old to get a diploma in education with a specialization in math. I believe someone can change their life at any age. Federal loans/grants will pay for tuition for someone to study teaching if they qualify for the loan. The person has to study to teach something that has shortage of teachers like math. Then the person has to agree to teach in a impoverished area after getting the diploma. Its possible with loans and grants.
    3
  21296. How have I only just now discovered this amazing channel???
    3
  21297. "The ideas of this book can be applied to more than just math" Cof Cof... programming... cof cof...
    3
  21298. Woah, that looks super scary/hard!
    3
  21299. is the solutional manual available ? please help
    3
  21300. Thk u sooo much. Struggled to understand matrix multiplication for too long 😆
    3
  21301. Jeff Bezos 😂
    3
  21302. More books like this one please
    3
  21303. 18 reprovations on physics degree, and i'm graduating on the end of this semester!! Just sharing, hahah Greeting from Brasil man!
    3
  21304. i gotta get me that book
    3
  21305. This eyecontact, oh man! Very convincing! I'd say this is probably the main reason why this video is so awesome and so comprehencive. P.S. Saved to my Favourites
    3
  21306. Indiana State University
    3
  21307. Taking real analysis in spring and it's very intimidating
    3
  21308. I am taking the 2nd half of it. For taking those kinds of classes, trying to understand each word/symbol of every theorem and definition really helped. Also, finding any kind of example of a proof online too.
    3
  21309. Slow is smooth, smooth is fast
    3
  21310. I have MY first DE test tomorrow
    3
  21311. It became a multiple choice exam, so I GOT THIS.!
    3
  21312. Hey thanks a lot man I needed this
    3
  21313. This guy, he’s awesome at explaining. Making it make sense, and very enthusiastic. Thanks for the upload!
    3
  21314. you are right
    3
  21315. Even if someone is a mathematician, people assume this guy KNOWS everything math related let it be physics or chemistry or economics... Not all mathematicians know all topics in math and not all can figure out problems in mathematics , but they do specialize in some topics which make them know less of other topics even in math. There also this thing when someone ask you and they think you know the answer right at the top of your head...that’s just terrible
    3
  21316. Thanks!
    3
  21317. Hello Math Sorcerer, I'm a struggling mechanical engineering student with a big interest in mechatronics. What math subject should I focus on? I was thinking to concentrate solely on calculus but I would like to know your opinion.
    3
  21318. Me who thought: Math People Are Lovely
    3
  21319. You look like a classical composer
    3
  21320. Another input, and I’m no specialist in this area, but where people may perceive themselves ‘poor’ at a subject, it may instead be the fact that the conventional methods in school don’t suit them, and thus it seems they are worse than others comparing to those who do suit conventional methods of classes, homework etc... For me atleast I learn the most on my own, self study.
    3
  21321. Check out the Amateur Logician; he does reviews of Logic and Philosophy as well ... even a couple of math books!
    3
  21322. Would you please make a video on "talent"? Some people are better at math, just because they are gifted. Unfortunately, some people are not wired to do math well. Pretty sad.
    3
  21323. I would even go one step further: If you can’t teach yourself math, you shouldn’t major in it, or dedicate your life to it. Mathematical self study is a lifelong process and a skillset that is integral to research. It is also an indispensable prerequisite for a mathematical career. Moreover, it demands almost heroic-levels of patience, dedication, self-confidence, enthusiasm, time management, and self-discipline.
    3
  21324. My suggestion for anyone is just do it and you will really get addicted to the progress and knowladge you acquare through your own will, be it from online videos, books or both. It doesn't really matter!
    3
  21325. Long live sir 💐
    3
  21326. Thank you 💛
    3
  21327. Very helpful, and clearly explained. Thank you so much!
    3
  21328. In the USSR MIR was specialized on translation of foreign scientific literature to Russian. I never knew that it did it in the opposite way.
    3
  21329.  @farahnotyourz  it's in bahasa Malaysia,by the way haha
    3
  21330. There's a textbook called " scholarship physics" by M.Nelkon. I don't know if it's still in print. This book used to be the standard textbook for physics in Great Britain back in the 60s and 70s. As for high school maths, there's a collection of textbooks written by C.V Durell but they're no longer in print. However, you can still find their PDF versions online.
    3
  21331. Epic
    3
  21332. sound advice. i hope people listen ;-)
    3
  21333. Very important thank you
    3
  21334. me doing 21 questions of multiplying matrixes this dude doing one matrix: breaths heavily we are almost done i hate u
    3
  21335. The Time part is Being Real: letting the thing become a part of you.
    3
  21336. cheers man
    3
  21337. I did Chem 110 and Precalc. All day. That was my day. 4.0 the math. Caught a mistake on the Chem Final after memorizing an entire chart. The instructor goes "your right don't no questions on that . . . never had anybody memorize the entire solubility chart before." lol
    3
  21338. These axioms are very similar to the axioms of a group no?
    3
  21339. HumbleBundle often has math ebook bundles on sale so thats a good place to keep an eye on.
    3
  21340. The t-shirt says “i 8 sum Pi... and it was delicious”, Hahahaha
    3
  21341. your notes are not just for achieving an A grade but a reference so later in time you can go back and review key concepts or proofs. similar to comments on programs years later you may need to go back
    3
  21342. Yes, I agree 100% with this.
    3
  21343. Thank you for this video.
    3
  21344. Ur hair looks like newton's hair
    3
  21345. Get yourself a copy of Gilbert Strang’s text on differential equations— it’s the best Intro text to this essential area of maths
    3
  21346. I have to agree that solving math problems is ALWAYS more comfortable/better with a pencil.. 👍 The cherry on the top would be if its an ORIOLE brand pencil.. ✏🤝🤣
    3
  21347. Don't punish yourself just because you failed, Learn from them
    3
  21348. Is the "High probability trading" book any good?
    3
  21349. Pugh is very hard going for people that can't see a hasty comment and translate it to symbolism in their head. Also he has some sections such as homeomorphisms that aren't easy to handle for beginners.
    3
  21350. All I remember about math is crying during my homework.
    3
  21351. I highly appreciate for making this video and giving us valuable guidance!
    3
  21352. Hola math sorcerer :)
    3
  21353. Mean while 20 yrs later and 20 stages of metamorphosis , but it's Ok
    3
  21354. I love pure maths but hate statistics.And I have to study statistics God help me.
    3
  21355. That feeling when you realize group theory is actually algebra.
    3
  21356. Much needed after taking fluid mechanics midterm today
    3
  21357. My favourite YouTube channel :)
    3
  21358. What about mañana mañana?
    3
  21359. The Alchemist Sorcerer!
    3
  21360. There is something about the way you tell a story about the math world which makes it interesting. Wonder how far this channel will go in the years to come.
    3
  21361. Great advice! I got mostly A in all my college math courses by doing most of the problems but also by studying for a math course before the semester would start ...for ex. In the fall semester I had to take a course in Logic and Set Theory....so in the Summer I got used Schaums Outline on that subject and studied that every day for the whole Summer before Fall semester started. It worked. Got an A.
    3
  21362. Just picked it up for 75 bucks. Probably could have gone cheaper but I was too eager to self-study it to fiddle around with eBay. I haven't self-studied in a while so its gonna be a challenge to get back in the grind like I was a couple of years ago. Those who decide to study it as well or any other book, good luck!
    3
  21363. Take a look at O'Searcoid's Metric Spaces and Kumaresan's Topology of Metric Spaces. These books exclusively cover metric spaces.
    3
  21364. Charles Pugh real analysis has a whole chapter dedicated to metric spaces
    3
  21365. combining a force with a construct will not result in unification, QCD is not a force but gravity can be treated as such, maybe a way to unify them would be to treat QCD as in the quantum mechanical constructs as a force instead of the leading theory that its a construct just as gravity, but it doesn't make much sense to see QCD as a force because of the many different components, unless it isnt. Even when treated as two constructs one could find them both emergent on the same manifold but it would be hard to experimentalize that... unless it isnt. I have the intuition that theories of prime numbers are related as it may relate to division of space? If space bends what is it bending in to.. what is space.. especially in relation to quantum mechanics. Einstein proposed it was a manifold but only up to agreement of theory and experiment. Why do they not combine? The elusive supposed graviton from string theory.. but its not a surprise .. because gravity is also the bending of space itself. Why is gravitational constant so low ? Or rather why is the rest so high? Or maybe that is not the right question. Why is there a gravitational constant? How does it exactly relate to GR? QM=GR by relation of constraints Sorry sir I am doing this for future reference
    3
  21366. Watch out! The books are going to catch fire!
    3
  21367. One fo the best motivational videos for mathematicians/maths/stem students
    3
  21368. Enjoyed watching this with Olivia
    3
  21369. "The bookshelf... it works!" :face-turquoise-covering-eyes::face-green-smiling::face-red-heart-shape:
    3
  21370. This guy really feels what I feel about these books and math in general. The feeling of challenge and enrichment when studying these great references is unique, difficult to explain to other people. Thanks for sharing this experience with us. Thanks from Brazil
    3
  21371. Hahahahahahahahaha love it
    3
  21372. Ty bro nice video, like and new subscriber.
    3
  21373. Very concise ❤
    3
  21374. I agree, Kreyszig wrote a beautiful intro to functional analysis.
    3
  21375. There is a typo in the thumbnail
    3
  21376. thank you, super helpful
    3
  21377. If you are interested in the test questions themselves, skip the first six minutes where you are instructed in great detail how to write your name on each page of the test. 6:00
    3
  21378. "This is Dummit and Foote by Abstract Algebra."
    3
  21379. Thank you sir
    3
  21380. Actually you should start with Principia Mathematica by Russell and Whitehead 😂
    3
  21381. Obsession produces state of flow? 🙂
    3
  21382. I always thought I would be a vet. Two things happened: I had several awful science teachers in college, and an equal amount of awesome math teachers. I fell in love with math, but there was a problem: I'd done languages-sciences (only 4 hrs of math/week)... So, I've taken a preparation course and long story short: I'm going to beat the odds, starting my mathematics degree next year!
    3
  21383. That's funny ironic, considering Jeff Bezos himself admitted about him not being cut out for math and physics for humbling reason that he couldn't solve a problem in partial differential equation during his stay at Princeton( like 99% of the rest of mortals). And he got admitted there because he was legitimately a child genius.
    3
  21384. Much love brother man, this shit was a life saver for my test tomorrow.
    3
  21385. First comment :)
    3
  21386. 2:42 So no complex sets? LOOOOL
    3
  21387. We are the master race lol
    3
  21388. This is just the best advice i needed today. And i will implement this everyday from now on. I have wasted some considerable amount of time thinking why i got stuck. Thank you very much
    3
  21389. You have to keep your ego out of it. However smart or stupid you are, dwelling on it isn't going to change anything. Chances are that you can and will learn if you just keep going.
    3
  21390. As a League of Legends, high-level procrastinator, and dopamine addict (almost) who just needs to be whipped into shape, this was an eye-opener haha!
    3
  21391. I really don't no what that is . But I'm taking it..
    3
  21392. 💓💓💓 Love from INDIA
    3
  21393. I think grade is a side-effect of learning. One of the best ways to identify your learning gaps is go over the problems you got wrong a d try to answer the question “why you got the question wrong?” It could be a silly mistake, or concepts you misinterpreted or even didn’t cover the concepts at all.
    3
  21394. OMG Why do the English videos of this problem make them different than the Spanish ones?
    3
  21395. 3st!
    3
  21396.  @TheMathSorcerer  even my best friends doesnt reply that fast your'e really awesome😅🤩
    3
  21397. Is it ok if your gift is to do laundry , but do it very well?
    3
  21398. yep
    3
  21399. is this video about , find the Easter eggs that when you actually blinked?
    3
  21400. I get super distracted easily, I suggest you go somewhere you cannot get distracted at all and turn off ur phone notifications.
    3
  21401. Thank you for this! I LOVED math in high school but didn't have a great teacher for Algebra 2. When I got to college I tested into Calculus but I really wasn't prepared. After watching so many of your videos I realize I should have swallowed my pride and just back up to precalculus but alas. I ended up switching majors and the only college math I took was statistics. 40 years later it still bothers me 😮 so I've been brushing up on Algebra 2 and trig with the hope of learning the language that God speaks!
    3
  21402. Thank you so much! Your graphing videos might have just saved me on my Precalc and Trig test this weekend!
    3
  21403. This is simply the best video. Everything you said was on point.
    3
  21404. Thank you for making it simple and easy. This is like the 5th example of a partial fraction decomp and you are the only one who actually made it make complete sense.
    3
  21405. You're my inspiration Math Sorcerer and my idol. I want to be a math professor. I want to be like you. I worship mathematics.
    3
  21406. Hello! I have a question, I really want to finish the calculus sequence and I started and took calculus 1 in fall of 2019, I did all the homework and tried to understand the material and did well with a lot of it , I ended up with a C+ in the class due to a bad test and some missed questions here and there, word problems mainly. Im unsure if I should proceed hearing that calc 2 is much harder and there being a time span since, also my grade not being the best. I really enjoy math and want to finish. I’m a adult learner at 31 so I’m wondering if I should save the time and proceed. I also have the text book and still retained a lot of info.
    3
  21407. Maybe a good question for Richard Dawkins...?
    3
  21408. Hmm
    3
  21409. Hmm...
    3
  21410. It highly depends on the class and context in which the grade is distributed, at least in terms of learning. I'm an English undergrad who self-studies math. I had to take a literary theory class, and at the end of the class we had to give a presentation. My partner and I had the best grade on the project, despite the other projects being better composed and more engaging overall. This is mainly because we looked at the syllabus for the project, and optimized our time to hit all the points that our professor wanted to see. But we didn't spend that much time on making the project, rushed out something that was relatively incoherent, and still managed to get an A. The other groups, on the other hand, obviously had spent more time in structuring the project in order to give a good presentation. The problem is, they didn't account for time or hit on all the philosophers that needed to be covered in the project. Their presentations were more engaging, and when they did hit on the philosophers, they went into much more detail in describing their theory than our project did. They seemed to have presented and represented a better understanding of the class than our project did, yet they got a lower grade. So grades don't necessarily translate well to skill in the working world, I would think. At least when it comes to the humanities, where skill doesn't always closely match the professor's expectations. I've had professors that grade papers based on the writing style and persuasiveness of the essay, those were some of my best profs. I've had professors that grade papers based on how well you're able to replicate their line of thinking in the essay, those were some of my worst profs. In math and science, I think grades tend to reflect skill level better than in the humanities. Usually grading criteria over there is more objective. When I took calculus, I usually ended up with B's and C's on assignments and exams, and my study habits tended not to be as good or dedicated as people who consistently got A's. But were they smarter than me? It's hard to say--some of them were obviously more dedicated to the subject than I was, and some were definitely more intelligent, because they had grasped the material much more easily than some of the people who got A's. But a lot of the people who got A's at first didn't study as hard as the more dedicated people, and their grades took a noise dive down to my level, sometimes even below my level. They were smarter than me, I could tell when I talked to them, there's just that spark and vivaciousness to really intelligent people that you can sometimes recognize. But when it comes to getting good grades, at least in math, it seems intelligence won't get you that far--dedication matters much more. The reason why I didn't pursue math further in uni is probably because I realize I just didn't have the dedication to keep doing it, at least within the context of the university. I have a friend who's a math major, and he spends a lot of time studying and he just seems to really enjoy it. For me, I liked math, but not that much to dedicate so much time to it within a short time-frame. I enjoyed writing essays and reading about philosophy much more, so I decided to do English with a specialization in theory and rhetoric. My friend gets B's on exams most of the time (but he's taking a proof-based linear algebra course, and this is his first exposure to linear algebra), but he just enjoys math to an extent that I'll never enjoy it, so that was the right choice for him. As for how grading reflects anything, it depends on a multitude of factors: it reflects innate intelligence (to an extent), it reflects dedication, it reflects passion for the subject. That's when it comes to math. When it comes to writing essays, things get more mucky really quick. To be assured, though, if you're consistently getting C's in English, you're probably a pretty bad writer (English profs tend not to want to fail their students in this day and age, and I've looked at C papers--I would've thought they had failed the assignment had they not told me otherwise). But just like in math, you can improve your abilities as a writer. When I first started upper-division literature courses, I consistently got B's. Now I usually get A's. And when I look back on my old papers, it's easy to say that I've improved. So I'd recommend this to anyone: look over old exams and/or papers, not just to revise, but also to see how far you've gotten. It can really boost your self-esteem to see that you're perfecting your craft. Do grades translate into a good job? Hardly at all. I have a friend who's studying Computer Engineering and his grades are C level, but he got a job through his uncle. On the other hand, I've met people on the internet who studied computer science with all A's in uni and were unable to land a job. It depends on luck (nepotism), work experience, and to a small degree, grades. I have a copy-editing job right now that I only got because my aunt does the same thing. Before asking her for job recs, I tried applying around for these types of jobs to no avail. Despite a strong writing portfolio and editing experience for the school newspaper, I got no calls back. So landing a job nowadays requires you, overall, to be lucky. That's not to say that it's impossible without connections, it's just really really hard. Especially in the humanities. I'm sure things are easier for computer and engineering grads, but it's still tough out there.
    3
  21411. Thank you comrade.
    3
  21412. 0:45 1. Self-study is fun. 1:40 2. Studying for a test vs learning 3:43 3. Actually READ the textbook instead of working from notes and studying for a test/ 6:17 4. It sticks with you. 7:37 5. It makes you better at what you're learning, and you're learning how to learn. 8:37 6. The experience is self-rewarding.
    3
  21413. You keep a neat library in the background. What is your home office like? I mean its size, the layout of your room where you most study in, what storage units you keep for your papers. You should see this video in link below: "Beauty is suffering — the mathematician." In 2:25, the mathematican's office is heavily clustered with hoardings of papers. You would have loved this scene for time travelling and exploring young man's papers. Judging by the man's phone, I think the video was taken in 70s or 80s. https://youtu.be/i0UTeQfnzfM
    3
  21414. Can I do my masters in mathematics with a computer science bachelor degree?
    3
  21415. Plz also do some research on indian mathematics other than ramanujan like bhaskaracharya
    3
  21416. These are the basics of nuclear theory for those working on non-fundamental approaches of nuclear physics (by non-fundamental, I mean non-QCD), I studied this during my first year of masters
    3
  21417. Thank you and a big hug from Brasil
    3
  21418. This third edition is old. There is a fourth edition with new language features.
    3
  21419. Love from IRAQ 🇮🇶❤🇮🇶❤🇮🇶 I love your channel
    3
  21420. Really cool!
    3
  21421. The better tip would be on effective note taking for math.
    3
  21422. Awesome ✌🏽no need to apologise 🙌🏽 Have to get the abstract algebra book.
    3
  21423. "Karma" backwards is "amrak"... and "a-mrak" is half of "a mrak-le." So, rounding up, we get karma backwards is "a miracle."
    3
  21424. My biggest complaint about math texts is that there is often little explanation of the "intuition" behind certain concepts. Of course, I believe rigor is still necessary, but I think nonstop pages of formalism without any down-to-earth explanation tends to make the process of learning new math much slower than it needs to be.
    3
  21425. This guys is legit, hes even got a perrot! on his shoulder!!!
    3
  21426. I stay focused doing time intervals, recreational exercises
    3
  21427. I like this video but i don't Understand English language😓😓
    3
  21428. i am a living example that it does not lol
    3
  21429. Just search Dragonball Abridged by TFS If that doesn't make you happy , nothing will
    3
  21430. Thank you sir. Useful video
    3
  21431. if i wanna contact u ? for my quiries thn what would i have to do sir??
    3
  21432. Happy new year and thanks for all the videos you ve shared. God bless you.
    3
  21433. I need a t shirt that says "give it a whiff"
    3
  21434. I love you and you inspired me to make a math channel. I would love some support.
    3
  21435. Hello sir!! I have a request . Can you make a video on reducing a D.E to exact D.E by using integrating factor ? I am really confused. Your teaching is excellent, it would really clear my concept if you do so!🙏🏻
    3
  21436. That was funny. Because it's true. Classic big bang theory joke
    3
  21437. Cool as can be
    3
  21438. Lol 🤣🤣🤣
    3
  21439. Not a sure of Jeff bezos new hair...
    3
  21440. You’re not helping my book addiction! Lol
    3
  21441. Can you do videos on Quadratic equations and solving them using completing the square but the numbers have to not be a perfect square I'm really struggling with it.
    3
  21442. What if x1 is not given???
    3
  21443. great vid man love your channel !
    3
  21444. Hi! Have you heard about the Markushevich book ''The theory of functions of a complex variable''?
    3
  21445. Sir what is the lim of the sequence {1/2(x_n-1+x_n-2)} where x_0=0 and x_1=1
    3
  21446. thank you....from faculty of science Hellwan university- Egypt
    3
  21447.  @TheMathSorcerer  Thanks :)
    3
  21448. You are so fun to watch lmao, hopefully this preps me for ODE next semester
    3
  21449. Nice
    3
  21450. Hey man
    3
  21451. Yeah it’s so easy to blame the online classes for subpar grades but I’m honestly not giving it my all. And I need to. And I will
    3
  21452. Thank you so much for sharing!!!! I absolutely love your content...and mathematics.
    3
  21453. Thank you math sorcerer very helpful video
    3
  21454. love the link to real world math. nice job, man!
    3
  21455. Wonderful, clear, concise explanation!!! Thank you!
    3
  21456. This book was the best, unfortunately it doesn't cover most of high school math like Pre-Calculus, Calculus, Algebra 2 and so on. I bought this book for Geometry and I indeed aced the class, I didn't even read all of the book just look through table of contents on the unit I was currently learning. Right now I'm taking Pre-Calculus and I wish they would make a book on this subject
    3
  21457. Muchas gracias por su tutorial me sirvió de mucho.
    3
  21458. Thank you 💕🎉🎉
    3
  21459. Time management is a serious problem with most students around the world, I am an American who studied in the Philippines University system, they love to wait until the last minute to do a project, what they call an OVERNIGHTER and have a poor outcome. For myself, I am very sure I wasted a lot of time doing way too much research to find the perfect answers and that took days and days of wasted time that some of the initial hours would have been ok but I would not have been happy with that initial research. What perfectionists ought to do is start your Outline with what you find and continually improve your final output as you do some additional research if you have that additional time and don't worry so much about the best answer you can find with available time and minimal stress. We are lucky today with the internet, I am older from the high school days of a local library only.
    3
  21460. It's also a great introduction of the methods of mathematical proofs.
    3
  21461. Get the volume one. These are by far the best books on integral calculus. Top quality, precision and extraordinary difficult Tripos problems. Many can be solved with Wolfram Alpha and many other tools for corroboration. It is an extraordinary book for learning the subject.
    3
  21462. Weren't there some problems where you had to go backwards from -2pi or something. I remember those melting my brain.
    3
  21463. I have "the pot of coffee" nailed!
    3
  21464. could you please share youre daily rutine? thx
    3
  21465. I try to keep my gym training schedule and good sleep while in school. I feel like it's almost impossible to obtain all 3. But training and proper sleep are the only things that are making me endure majoring in electrical engineering. I've never failed a class before. I would be like that girl if I failed a course, especially since university is so expensive.
    3
  21466. Professor i have my interview in two days wish me luck!!
    3
  21467. great motivational speech and look like you freshly woke up from a 80s Van Halen concert. Plus 2 on cool points. your welcome
    3
  21468. Super great video could you make some videos on chemistry books?
    3
  21469. Fleetwood Mac also sang that yesterday's gone.
    3
  21470. What math important electrical engineering?
    3
  21471. LOL
    3
  21472. Thank you young man
    3
  21473. Sir god bless you keep growing ❤️🤗 you are the best maths adviser
    3
  21474. Should I study Algebraic Topology? Is there anything you could say to encourage / motivate me for it? Or is it really weird and boring?
    3
  21475. Professor, would you be able to do a trig problem? You have done many algebra problem and I can’t be thankful for it. Because you and your videos, you can certainly turn anyone into becoming a math wizard.
    3
  21476. Love all this! Why I am relearning after taking it all 40 years ago!
    3
  21477. Can you review "The art of computer programming" book written by Donald Knuth
    3
  21478. I'm 26. I graduated with a physics degree 3 years ago. It was a flurry of formulas and problems that mostly went in one ear and out the other. After my 3 year hiatus from my studies I have decided to return to square one and properly learn everything from first principles. So far it's been fun to rewrite old notebooks and do some basic proofs instead of computing physics problems that a computer could frankly do. At the end of this present road I hope to have attained a Master's in Applied Math and, then, perhaps I'll go on to earn a PhD in something related (Pure Math focused in Number Theory sounds really appealing). Granted that the world doesn't blow up in the meantime, however, so fingers crossed lol
    3
  21479. 1:10 I agree with you, I even wear noise cancellation headphones when there’s people at home while I’m studying.
    3
  21480. I like this. I also like introduction to topology via interior/closure operators.
    3
  21481. These were the engineering math I took from freshman till graduation. Freshman: 1st Semester - Algebra, Trigonometry. 2nd Semester - Analytic Geometry, Algebra 2, Solid mensuration (just measuring common shapes) Sophomore: 1st Semester - Differential Calculus, Statistics. 2nd semester: Integral Calculus Junior: 1st semester: Differential equations. 2nd semester: Advanced Mathematics. Senior: None - Every single math we learned were applied in our major robotics classes. I didn't get to learn the advanced math classes that the Math majors took that's why I'm here.
    3
  21482. When I was at grad school, I experienced US students were somewhat behind in subject matter, and some had GPA below 3 even. My prof told me I might not need to take most of courses at the grad school. I just took courses not even relevant to field just to full fill requirements. Most foreigners come to US because US provides good scholarships and people are excited about cutting edge research that other countries are behind. But this trend is slowing down with China and India investing more money in research. China even hire retired ivy professors in their projects providing attractive facilities for them. I met several Indian and Chinese scholars on gov-funded PhD /Post-doc programs. In future, more students will come from Africa.
    3
  21483. ​ @aryamanmishra154  Top foreign students also find in top universities. American colleges and universities have a preset quota for the percentage of international students they will accept in any given school year. Many U.S. colleges and universities have seen an increase in the number of international students applying to and attending in any given year. For example, 23.0% of Harvard students are international students and this number is increasing.
    3
  21484. If you squint your eyes he looks like Jeff Bezos with a wig on
    3
  21485. Today I really understood what envy is Nice textbook collection by the way
    3
  21486. im happy because i can now understand it
    3
  21487. I am having my final exam on Tuesday and my parents a demotivating me so much by telling i will fail especially i realized they r telling the truth I am going to fail this test and I can't get a head .....but now I feel really better 😌 ☺ 😊 🙂 🤗 thank you soo much sir
    3
  21488. I haven't either!
    3
  21489. Yep McDonalds did that with me when I had started working with them as a high school student. Video was a training video. Math Sorcerer trust me I have never been scared of any work.
    3
  21490. You are not only becoming one of my favorite YouTube channel, you are going to be my god dude you are awesome
    3
  21491. Books like the one reviewed in this video are simply RECREATIONAL reading, and absolutely useless for actually learning Calculus. Book like this are only intended primarily for those whom have a curiosity about calculus but never learned it, or perhaps are thinking about learning calculus but have no idea what it is about, or for those whom already know calculus but want to read about practical ‘real world’ applications. If you want to learn Calculus, don’t waste your time on these books. Instead, spend your time more wisely with a good textbook and DO the hard work it takes to actually learn this essential subject.
    3
  21492. Thanks a lot 😘
    3
  21493. Wait, MINUTES AGO?
    3
  21494. I was afraid that you would make this video. Your comments are correct specially in the US...recommendation letters play a big role after graduation. However, in my experience, math is, in itself, a very individual activity...and if you are too much socially active and you talk too much then there is a huge probability that your ideas get stolen. The example of Perelman is terrible!!!...he spoke too much about his proof before getting it completely right. Mathematical community is a small 'social club' but not all good mathematicians are affiliated to it.
    3
  21495. I own the Spanish version. Amazing book.
    3
  21496. I’m a junior yr student and I did 3 questions 😂😂
    3
  21497. Always waiting for your videos:)
    3
  21498. this helped a lot, thank you :)
    3
  21499. The existing education system is often too rigid. This system needs to be changed and reformed. I've been reading and self studying since my teen years (I'm now in my forties). I read and self study all kinds of topics, especially science, math and physics.
    3
  21500. Thanks dude, this helped me understand the method a lot.
    3
  21501. Hi thanks for this. Being able to get out of the rabbit hole is very important in many analytic areas of life. If I can bring myself to take the steps that you suggest, then it's all cool. But actually there's a barrier you don't discuss which is the unwillingness to let go. Part of this determination is an instinct - got to keep going, and I'm sure it has evolutionary value, but there's also a comfort in thinking inside the box and a reluctance to move out of it, especially when fear or doubt is present. I find that the best that works for me is to have buddies that I can reach out to. Even if they don't know the answer, they can give me a reset so that I can let go of the thing for a while. I would also counsel regular showers. Apart from keeping clean, which is pleasant, this also gives a chance for the ideas that have been percolating in my mind to come through. Often they pertain to what I have been consciously thinking about, but other times they are actually important stuff about other matters which would otherwise be censored by the tactical obsession du jour. Anyway, all good stuff - thanks so much!
    3
  21502. Great video
    3
  21503. It’s better to teach them math rather than give them the answer. If they don’t want you to “teach” them math, then I believe that’s their problem.
    3
  21504. How did you get India Edition in US? That is illegal I suppose.
    3
  21505. It's super intriguing especially speedrun on math books and it'll be nice when there's a speed run of math problems.
    3
  21506. Really good book. I learned from iit rigorous Analysis. Only thing i do not like is the way it introduses and presents Taylor Series .
    3
  21507. Thanks may Allah bless you
    3
  21508. Great simple video, thanks!
    3
  21509. ❤
    3
  21510. what courses do you teach? I am teaching all online right now due to COVID-19. I make videos for almost every single type of HW problem like you do along with providing students written out solutions that will maybe have a little bit more detail than that of the videos. Btw, your abstract algebra videos are great! I am 'relearning' abstract algebra right now as I didn't take it as seriously as I should have when I was in college.
    3
  21511. By PLEASE, I think you meant PEMDAS—"Please excuse my dear aunt sally." Took me a second trying to line up PLEASE with the order of operations haha.
    3
  21512. thank u
    3
  21513. I think it also makes sense to place the books according to their subject areas, e.g. probability theory, linear algebra, abstract algebra, topology, elementary algebra, elementary geometry, complex variables, number theory, physics, chemistry and ochem, astronomy and astrophysics, coding and CS. If there are hundreds of math books I would also place them according to the level, which means I divide mathematical books into elementary math (precalculus, elementary geometry, trigonometry), intermediate math (calculus, analytic geometry, etc.), advanced math (ODE, probability theory, number theory), and very advanced math (topology, PDE, functional analysis, etc). For example, Schaum's books won't all go on the same shelf but will be spread around depending on the subject area. Elsgolts will definitely be next to Boyce DiPrima and next Schaum's ODE. I gotta admit though my math books are placed in a very, very messy way right now :) I need to sort out my mess.
    3
  21514. I don't sure my favourite subject is Maths because I spend a lot of time 🤣what is your view,guys?
    3
  21515. Finally this clip has 1M views!
    3
  21516. I never make mistakes in calculations anymore, until I do and I spend hours trying to figure it out, the frequency is lower than it used to be but it still happens once every few months and it's miserable.
    3
  21517. I do the opposite. I make mistakes but when I do they are usually really simple, like dropping a number or a negative sign, so I can catch myself before I finish the problem and backtrack. Sometimes the mistake isn’t easy to find so I just start over but that’s has saved me in tests a lot.
    3
  21518. don't worry, life goes on
    3
  21519. Nice
    3
  21520. Study proficiently so when asked as to your proficiency, just tersely reply, experience.
    3
  21521. I think this is true and often applied in courses. During my degree I did a course on group theory and the course even stated, it would pause and move onto another subject and return to group theory in a few months after the ideas had settled into the subconscious. Then there's always the old saying, "Mathematics is not a spectators' sport", you can read as much as you like but you need to get your hands dirty to make real progress.
    3
  21522. I am taking a stats class at Seminole State and the professor I have did a poor job at explaining this. Thank you for such an awesome video! I totally understand now
    3
  21523. This will help me lot
    3
  21524. Sir, I have seen many Discord servers that deal with Science and Maths but trust me sir these servers are useless...
    3
  21525. Love the Gong! Worthy of a Sorcerer!
    3
  21526. Thank you! I wasn't able to find a solution in my native language ao I tried english and here I am :)
    3
  21527. Sorry you have to find something else to be gifted at.
    3
  21528.  @TheMathSorcerer  Boat building
    3
  21529. Math teachers be teaching at the speed of light 😂😭😂
    3
  21530. The Math Sorcerer when you play video games do you think about any of the math you learned or do you completely ignore all your thoughts about math. For me I sometimes can’t help but be curious about how a game mechanic can be represented in math I understand
    3
  21531.  @TheMathSorcerer  I do the same, I just use it take some time off from Math, and refresh myself. When I return to Math after gaming, I'm able to focus much better, and I'm able to solve tricky questions with much more ease. It's just amazing xD
    3
  21532. Sar go Mana type key h u see a answer do
    3
  21533. Well put, so much unnecessary fluff in many modern books whereas old books doesn't try to be fancy. Just plain beautiful mathematics :D
    3
  21534. what i learn about math is you never right and it's a mistakes-learning subject
    3
  21535. Thank you Sir. Useful video.
    3
  21536. Haha I just now managed to understand that for every line there is a circle of its equivalent diameter, and that if you look at a circle from the side in 3-d Space, it will just look like a straight line whose length is equal to the diameter of the circle, even though what you are actually looking at is half the radius of the circle. All the points of 'Half the radius of the circle X' is a set with more coordinate points than the diameter of the same 'circle X', I guess? So because of this, I wondered；If I am in 3-d space and I am looking at a circle from an angle such that the only part of the circle that I can see is half of its radius, which from this angle looks like a straight line that appears to be the same length as the diameter of the circle, what can I do to figure out whether the line that I am looking at from this angle in 3d space is a circle or a line ? I geniunely don't know if you can answer the question if you impose a constraint of neither rotating the circle nor changing the angle from which you are looking at the circle (or line haha, Since I don't yet know how to know which of the two it is, I guess) I don't know any math, I just do linguistics so i dont know what I am talking about tbh. I was confused for a while because It had at one point seemed to me that 'for every line in a 2-d plane, there is another equivalent and equal line occupying the same coordinates in that same 2-d plane', but now I am wondering instead 'is this notion of two lines occupying the same space in a 2-d plane just an illusion, or is that what happens when you collapse a circle that exists in a 3-d plane, into a 2-d plane'? Now I am also wondering if the number-line that contains all the real numbers is itself a collapsation of a number of axes into a single axis? Donno if that makes sense If anybody read that, thank you! If nobody read that! Well I wrote it for myself to see if I can communicate my thoughts to others. I can communicate them in a way that is clear to myself though, at the very least. If anyone managed to read up to here, and you are feeling so inclined, may I ask for you to specify what part of what I am saying doesn't make sense? TY :)!
    3
  21537. wow ive just been casually watching your videos since I love your account and your insights and math advice, didnt know this video only just came out :)
    3
  21538. Failing definitely develop my determination.
    3
  21539. Best basic concepts books of math for Topic - calculus, Linear alzebra, Differntial eqn , (purpose - self study for competitive exam)
    3
  21540. This is so beautiful!!!!! Thank you!!!
    3
  21541. Thanks
    3
  21542. passion helps..... it's the magnetism to a retentive mind.....math rocks!
    3
  21543. Nice video Math Sorcerer!
    3
  21544. Thanks Sir
    3
  21545. People still use this book
    3
  21546. When stating a solution, does 'simplify' in this context usually mean 'fully factorised'? Sometimes I can pull a GCF out of everything like an e^(-x) out of all terms.
    3
  21547. Thank god here is so much knowledge
    3
  21548. "Anyone can learn mathematics". - Sounds like a feel good sound bite. But what about dyscalculia? And, since you're purposefully vague on the definition itself, are we talking about basic math? Then yes. Certainly anyone can learn and comprehend basic math and its basic layers of operation. But to what degree and how deep? To me it's not at all obvious that anyone can learn math to a meaningful extent. Not everyone has the mind for spacial and analytic reasoning and the proclivity for arduous work, which certainly is a requirement to learn something beyond scratching the surface.
    3
  21549. I love math but i don't know how to be good with it
    3
  21550. Thx for this book, I was doing the basic calculus one with derivatives and integrals. This one is a nice followup!
    3
  21551. yes
    3
  21552. This is literally just the second video I’ve seen of yours and you’re my new favourite person in this world. Thank you.
    3
  21553. Thank u sir
    3
  21554. Thanks 👇👇
    3
  21555. During my formative years while I was younger, I was really lacking in any positive role models because of my own ignorance while living a sheltered life and because of my narrow and ignorant mom who hardly ever had a job during our lives together because she had been sick for as long as I could remember and who also had been abusive towards me and so she wasn't really any kind of a role model for me. But, during my later years, I've been developing a solid list of role models from history. My mathematical role models from history are Pierre de Fermat, Leonhard Euler (the greatest mathematician in history), Carl Friedrich Gauss, Srinivasa Ramanujan (whom you referenced in your remarkably awesome video) because he developed his intellect and acumen from scratch and was even elected to the Royal Society of London, Paul Erdos because he was obsessed by math to the point that he ate, drank, breathed and slept it (though I don't really care too much that he was a wandering and roving mathematician and seemed to mooch off of his colleagues at whose homes he'd crash for a night or two or more), and Andrew Wiles who solved Fermat's Last Theorem. However, there is one role model in my life whom I've known personally since the 7th Grade. She is Gretchen Ehlers of West Valley College in San Jose, California. She's a math teacher there and every now and again we exchange letters and emails in which I tell her what new mathematical concepts I've learned as well as to share any mathematical discoveries I've made on my own without any help from a book or the outside world.
    3
  21556. I am absolutely thankful for this video! It was explained in a great manner and I loved the energy. My professor used a different method that is very confusing ( t^s(Amt^m + ... A1t + Ao)e^(rt)...). I am forever grateful for your help!
    3
  21557. Are you a math Professor,??? 👍
    3
  21558. You should check out about nonstandard analysis by Alain Robert
    3
  21559. I ended up going into number theory because that is the only spicy math I could do in early high school
    3
  21560. Dude looks like the CEO of every energy drink company combined.
    3
  21561. Your comments about not being able to appreciate the beauty of math while you have a variety of pressures weighing down on you is spot on, and applies to fields other than math. I studied chemical engineering in college, and for most chem-e majors, thermodynamics is a killer because the concepts are new and almost entirely foreign, yet you have to get through the bulk of the textbook in 1 or 2 semesters while taking 3 or 4 other classes. I did well enough to pass (barely), but didn't feel like I really had much grasp of the subject. Years later, when I was studying for the professional engineering exam, I decided to go back through my thermo text book and just read it as if it were a novel, without pressure to work many problems or meet any deadlines (other than the exam date, which was many months off). I actually found the subject incredibly interesting when approached this way, and I picked up on concepts that I never fully grasped, or had missed entirely, my first time through the material.
    3
  21562. You're bad ass because you use stick! :)
    3
  21563. Sorry to keep bringing this up but these tips are applicable to every discipline. For me, I'm an older adult learning piano. I must set aside X-time daily to study, learn, drill difficult passages, work on hand and finger independence, etc. Back to math though I've always loved math but fell out of love because I had awful teachers that droned on-and-on. Math is applicable as we grow older. For example, can you give a customer change without using a calculator, pen, or paper? Can you weigh something for a recipe and double it in your head? Can you tell me multiply or divide in your head? For all these, I'm grateful for my elementary grade teachers who MADE me learn multiplication tables by rote and my mom for teaching me how to do math in recipes while she only had a 6th grade education!.
    3
  21564. Sir, I got hold of your channel since the lockdown started and I have been following your channel since then, you have such an inspiring outlook and attitude towards your student viewers. Also, I just completed my bachelor's in Mathematics and Computing in India. Is there any way I can connect with you?
    3
  21565. Nice!! Greetings from mexico
    3
  21566. Jesus!!! I learned calculus with this book !
    3
  21567.  @edmel144  On the other hand, the application fee means they get fewer applications which in turn allows them to spend more time on each applicant and give everyone a fair and thorough evaluation.
    3
  21568. Self doubt almost kicked me off the road to learn javascript, determination kept me focused.
    3
  21569. I really want to self study this book during quarantine but I can't find solutions to the book anywhere, how can I know what I am doing is right?
    3
  21570. Much better than how my textbook put it! Thanks man =D
    3
  21571. Good and inspiratif ,thank you.
    3
  21572. Sorry Math Sorcerer, nothing will change my hatred for counting/permutations and combinations.
    3
  21573. Bro so true... I found calculus and other discrete math topics way easier than combinatorics..... ;-;
    3
  21574. I'm a bit surprised there's no small press focused on publishing fine editions of the most famous math books. Something like a Mathematics Folio Society.
    3
  21575. Blonde Jeff Bezos
    3
  21576. Just "keep on trying untill you get it", that same thing happened to me. Math was such a mysterious world I was really at a lost. But suddenly I started to understand everything.
    3
  21577. I love your videos in English and Spanish.
    3
  21578. “I love hamburgers” 😂💀
    3
  21579. Just bought your real analysis course on udemy. I must say that I am not dissapointed. Keep it up. Greetings from Denmark :)
    3
  21580. I asked you about this book a few videos ago. I like to think that I caused you to talk about it again lol. I encountered this book from going to a certain liberal art college in Florida, they used this book for a class call "Calculus with theory", it's more like baby analysis for freshmen.
    3
  21581. Thank you so much❤️
    3
  21582. Good evening professor I was wondering if you had a good book for trigonometry? I already bought the books you recommended for calculus. I remember you recommended an algebra and trig book in the past.
    3
  21583. I don’t know if I’m gifted in Math’s. But I’m the topper in Maths. I almost scored 99-100% on every test. Here’s the thing, I really don’t study maths at all at home (rarely even in tests). So you don’t really need study 10 hours of maths everyday.
    3
  21584. Can you pleases make a proof of the laws of exponential for all rational numbers
    3
  21585. I think it depends on the university. Even a school is a business and if there are not enough students, they will accept B students (3.0, 3.1, 3.2). However, if they have student applications a plenty, they will only select the upper echelon. Overall State universities cost a LOT LESS than private ones, but have a higher criteria of acceptance. I can only say about a Master's degree, because I never got a pHD. I also have my own house paid off so moving is not an option. I just can't leave my house alone. I worked my job, stayed at home, got my Master's and I owe nothing. That worked best for me. PS: ONLINE courses are a LOT HARDER than in person and exams are proctored.
    3
  21586. I never really thought that much about speed. I think I do problems at a normal pace. But now that I think about it I've consistently finished my math tests about 20-25 minutes before the actual end of the allotted time so maybe I do work really fast. I think what it is is that when I first encounter a new topic I work very very slowly and I practice problems until I can't get those problems wrong. Not until I can get them right mind you but to where I understand it so well that I can't get the problem wrong. Maybe that has a side effect of increasing speed 🤨
    3
  21587. what about calculus by tom apostol
    3
  21588. Hello .. Happy to hear you .. I study in Jordan the same subject and book .. I hope to hear the explanation of your lectures and get solutions to the questions kindly ..
    3
  21589. "BECOME AN EXPERT" THE THUMBNAIL USE AI ART OH OK I AM PRO A.I. BUT, WITH AI. ART AS THUMBNAIL IS BIT IRON. BECAUSE MANY HUMAN EXPERT WILL REPLACED BY FREE A.I
    3
  21590. I am glad that she had escaped from Nazi persecution and fled to USA. Otherwise, her contributions would have been lost. I wonder how many of finest mathematicians perished in WWI and WWII eras, their works lost.
    3
  21591. I found trig easy as well. But then, I memorize numbers, formulas and such easily. Agree on the quadrant method re. evaluating "must know" trig function values - that's how I was taught.
    3
  21592. Only one remains...adams...plz review that too...thanks for the review!
    3
  21593. Really helpful thank u
    3
  21594. I thought calc 2 was the easiest. Calc 3 was hell
    3
  21595. A great vid as always
    3
  21596. Thank you! YOu rock MS!
    3
  21597. The Math Horserer
    3
  21598. I am first
    3
  21599. The notion that you need to attend university only at a certain age interval (18 - 30) is wrong, people can grow aptitude for science and math in later years of life, quest for knowledge is not limited to certain people with certain ages, anyone at any age can begin their quest for knowledge.
    3
  21600. I started math at 40 (not joking) taking pre-algebra. I didn’t know how to do long division. I am currently taking Real Analysis this semester and I am now 86 (joking again). In any event I can’t help but feel my story to be a rarity.
    3
  21601. @The Math Sorcerer some people buy an expensive red sports car 🚗 for their midlife crisis, I majored in math 🤷🏼‍♂️
    3
  21602. This video was a lore drop.
    3
  21603. I think it is better to do one thing better than two things good, in some cases at least.
    3
  21604. ❤
    3
  21605. Is there a way to differentiate between "being actually stuck" and "being lazy"? I fear if I followed this methodology, I won't be able to jump to the next topic knowing I hadn't mastered everything in the previous book 😟
    3
  21606. I do math daily and I struggle so much and the moment I figure out the solution, I make computer program to solve other problems like that. And it's fun for me.
    3
  21607. ...I need it....
    3
  21608. 3:03 Galois also taught himself Galois theory, he was not that much older
    3
  21609. I clicked on this video because i did the arythmatic in my head as (3*3*3)+(3*3*3)+(3*3*3) and got 81.....which is 9*9.......which is (3*3)*(3*3).....and was like "what, wait....how do i algebra it!?" then as i was watching i realized: multiplication is fast addition. 3+3+3=3*3 so the original equation is 3^4 with one of the exponents expanded out into addition! tricksy, tricksy! :D
    3
  21610. This was fun to read
    3
  21611. Can I get some love for "Calculus and early transcendental" by James Stewart 🙂
    3
  21612. Very helpful video I am starting integral calculus next semester and I want to study during vacations, what should I review the most prior to learning integration?
    3
  21613. The last is really a cool and super book 📖 it is my favourite.🇳🇵🇳🇵
    3
  21614. I'm a Hindi medium student and I can't understand your language but I am able to learn it with your writing 😉
    3
  21615. That's a damn long exam, and you even dropped some real analysis type questions in the true or false. Jeeez
    3
  21616. Thanks sir
    3
  21617. And i think injuries come from lack of range of motion so if you are working out take your body through all ranges of motion youll use when working out
    3
  21618. Great Book can you tell me of which grade is it #ExploringAmazingStuff
    3
  21619. Great video and great advice, prof.!
    3
  21620. I want to talk with you 😭😭😭
    3
  21621. He didn't lie, the fourth test is pretty damn hard for the standard amount of test time you're given.
    3
  21622. Really cool book. I'm gonna buy it soon.
    3
  21623. binge watching the old videos feels so good!!
    3
  21624. Ayo blink bruv. Why you lookin at me like that😂😂😂😂❤
    3
  21625. 😂🙌
    3
  21626. Thanks 👍
    3
  21627. Dr. Peterson says we should never make notes during the lecture but first After the lecture and collect our thoughts and train our memory of what did we just hear while during lecture we train to be as attentive and listen as carefully as we can and not distract ourselves with a notebook
    3
  21628. Great Induction Proof! I like how you handled both the inductive hypothesis and the inductive step. Using the inductive hypothesis is often difficult for students learning induction for the first time. By the way, The Principal of Mathematical Induction is a school administrator. I think you meant the theorem, Principle of Mathematical Induction.
    3
  21629. That would be appreciated since I haven't found any video with examples of that. =)
    3
  21630. thankyou sir 😊😇😇
    3
  21631. Wow. Good Book.
    3
  21632. #Sir I'm from India🇮🇳 Assam... when u mentioned India... I was very happy😁
    3
  21633. i'm about to go nuts on these variables
    3
  21634. I did it in a minute 20!
    3
  21635. thank you!
    3
  21636. That's why you should also consider that when choosing your major.
    3
  21637. Math procrastinating? Oh that's exactly what I'm doing now!
    3
  21638. Another nicknamed CS textbook from the way back then times is "The Cinderella Book" a.k.a "Introduction to Automata Theory, Languages, and Computation" (1979 edition).
    3
  21639.  @TheMathSorcerer  GRacias bro. De verdad que ando necesitando esos libros. Saludos,
    3
  21640. Awesome Books!
    3
  21641. Mathematical tools are much easier to use than they are to build. At this stage in your education, you are learning useful tools and how they can be applied to problems. I would worry less about why those tools are the way they are at this stage and instead would try my best to master their use, which will involve some memorization. You can certainly start to delve into more abstract math that relates to the roots of what you're learning in class in your free time, but it will likely not feel very applicable to you when you encounter that sort of math. Think of it like learning your first language as a child from your parents - you learn to use it well and can practically apply it to communicate with the people in your life. To learn the history of the language you use and the way it works will require things like studying linguistics and Sanskrit. Similarly with math - to learn the history and structure of the particular algebra problem you're working on, you will need to establish and build off of a much deeper and more rigorous foundation of logic, proof, and general abstract mathematics. It is an excellent thing to pursue, and it is also a monumental undertaking.
    3
  21642. Random video ideas: Something on math history that could serve as a companion for undergrad themes (to help motivate and provide context for their content). I can already look up most stuff that I'm interested in online, so this post isn't actually a request. I only left a comment because I thought others might find curated background information interesting in their course of study. So, this could be something to do in case you ever run out of project ideas xD
    3
  21643. I think I can understand what your saying . I actually got a job now so will be working and spending more hours with your work when I am outside so hopefully to see you more.
    3
  21644. Thanks
    3
  21645. Suppose there is a person with great genetics and he is a bodybuilder. He just started working out a year ago. But he got great results. He did a lot of hard work but he got even better results if we compare it to the amount of work he did. Let's say it's genetics! If his genetics is good we can say his dad had good genetics. But does it mean his grandad had great genetics? Behind every successful genetic story, there are several unsuccessful genetic stories. If you see a genetic success of a man/woman, that doesn't mean they had good genetics 1000 years ago, 2000 years ago, 3000 years ago, etc. You train your body, you train your mind, to get there. Even if you don't, that hardwork pushes you and brings a tremendous change in your genes that you'll pass onto. If your child works harder, the genetics will get better. And this process continues until you get a masterpiece. If a man with good genetics does not work hard, then 3 or 4 generations down the line you'll see the result. Humans are here to evolve. Hardwork accelerates that.
    3
  21646. The way you present is really shocking me. It makes me wake up.
    3
  21647. Yeah
    3
  21648. I got an A+ in calc 1, A+ in calc 2 but only an A in calc 3. Calc 3 was definitely the hardest.
    3
  21649. Thank you
    3
  21650. OK, fortunately this does not apply to me. I finished college in the eighties. I am looking for math as a hobby, to relive my college days when I spent countless hours feeling the pleasure of problem solving and thinking about abstract math concepts. Good luck to the young guys suffering with exam and grade anxiety.😅😢
    3
  21651. Try Newton's method
    3
  21652. Oh me too 🤗🤗🤗🇮🇳🇮🇳🇮🇳
    3
  21653. I still don't understand the closure of a set
    3
  21654. I am curious what can you achieve with all of your math knowledge? It would be awesome to see the achievements someone can have with mastery in math.
    3
  21655. Talking about easy math books-for me, some Calculus are surprisingly easier than others. I don't like saying any math is easy. But I think Calculus books without trigonometry are easier for me. I mean, Calculus by Marvin Bittinger is easier for me than Calculus by James Stewart. I have the 1 semester 8 chapter version of the Bittinger book. I try to keep a routine too. I do dance workouts and lots of walking as part of my routine and exercise. I did about 15 math problems today. Working through the most simple math right now: adding, subtracting and multiplying polynomials. Its so simple to do. .For a challenge, I do some calculus later tonight
    3
  21656.  @TheMathSorcerer  I got it.thanks for guiding.
    3
  21657. Nice book
    3
  21658. Thanks 🙏
    3
  21659. as always really good stuff :)
    3
  21660. Excellent way of explaining this!! It was very helpful. Thank you! 😊
    3
  21661. You are filling an enormous niche.
    3
  21662. Thank you for this!
    3
  21663. Idk why but if newton was alive and american he would exactly look like you!
    3
  21664. I'm trying to understand the physics of airships. (The aerodynamics part that is, very interesting and your videos have helped me alot!)
    3
  21665. Inflection point (-8,0) 😛
    3
  21666. What are your thoughts on Topics in Algebra by Herstein?
    3
  21667. Amazing video, I've been waiting for something like this, thank you !
    3
  21668. I don’t work on speed consciously but I unconsciously try to be as fast as possible
    3
  21669. Math sorcerer : "say my name!" You are goddamn right. I mean first sentence was a trick😅. You were absolutely right and every one of your sentences was golden. There is saying that " exprience have a better point against knowledge always". Thank you for your great advices. May the lord bless you. Best wishes from Iran.
    3
  21670. The hardest for me are programming, electronics and chemistry.
    3
  21671. I’ve been studying the latter chapters of the Churchill and Brown book since September for my university dissertation, it’s a great book :)
    3
  21672. What if x=0
    3
  21673. then everyithing is 0 right?
    3
  21674. 📝 👌 7:45-8:18
    3
  21675. I've been listening to Jocko Willink lately, and one of his mantras is GOOD! Oh, I got defeated on this problem? GOOD, now I'm going to spend more time getting to know the enemy, finding tricks, finding knowledge, and understanding, so that next time in battle it is eliminated with alacrity and precision. Especially now that you reinforced my understanding that math is hard for EVERYONE. And to know that I'm among the top 1% of the people in the whole world that can understand it at this high of a level. Feel empowered by that statement, and let it sink in. So WHY?! WHY in the world would you stop doing Maths when you're that far ahead?! You are worthy of greatness! Don't let your Id beat you down unless it's to get back up even stronger than before! So let's all get some yah Mathematical Bruisers! No fucking slack! Hardcore! Oorah!
    3
  21676. thank you kind sir (your anwser is correct) may the source be with you
    3
  21677. Haha it's ok ms
    3
  21678. Excellent video. Please do another one like this from an applied math perspective.
    3
  21679. I watch this before class to give myself a chuckle lmfao
    3
  21680. Thank you so much for pointing this out, I only realized this recently and it’s made me feel so much better about my mathematical skills, I had to find out the hard way but with you other people might not have to. Great video
    3
  21681. Cool to see.
    3
  21682. Bro how old are you? Btw I really enjoy your videos.
    3
  21683. Months ago, I struggled to find the best beginner university maths books to start with, as I was self-teaching at home. Initially, I didn't know where to start, as I didn't have categories of mathematics. Then, I found categories at Khan Academy online. Beginner-friendly categories hugely helped. I have since been using their categories, so I could learn maths in order of difficulty. I will do the same with physics.
    3
  21684. do you know any platform to write a maths ebook? I'm doing an engineering one. I thought about Power Point or Canva. Just wondering best way to go about writing something with lots of equations and numbers. Thanks
    3
  21685. Alone from the complexity of his message can be assumed, he is very smart. University is not for everybody though. But because many people think learning, such as learning mathematics has to happen in academic way, these places will remain always the most important ones to verify your abilities.
    3
  21686. Short, sweet, and to the point. Love it. Thank you!
    3
  21687. Thanks for translation in Arabic
    3
  21688. Estefanía Velásquez Study diary is very useful. I'd be lost without it. At revision times, you can always consult your study diary and easily see what studies need reviewing or worth revisiting. I use few pens of different colours as codes. Besides study diary, I also use two apps Google Docs and Google Slides — both are free. I store links of worthwhile websites in Google Docs. I keep screenshots of professors' writings on chalkboards in Google Slides, which I use as scrapbooks. Sometimes, I take screenshots of vital parts of video tutorials and those of webpages, store them all in Google Slides. Also, I attach links to screenshots. Screenshots act as memory triggers.
    3
  21689. You've been publishing on the last few days exactly what I have been studying. I'm so lucky. Thank you so much.
    3
  21690. Any plans for making merch? Would love to support your channel!
    3
  21691. Is doing a double degree in computer science and mathematics a solid choice?
    3
  21692. Great short problem 😊
    3
  21693. Interesting maths. Thanks for tutorial. Nice shirt, by the way. I have got to steal that, but how? You must have a great collection of shirts in your wardrobe. See links below. Imagine if your sister or girlfriend gets hold of your shirts, after seeing tutorials below. https://youtu.be/xpZn6kP5vkM https://youtu.be/oMe0A0AxkYc https://youtu.be/KQwTwI6qZyo Now your jeans. Imagine the unexpected transformation. https://youtu.be/MKbEWz9J9FM
    3
  21694. Is it possible to learn differential geometry without any exposure to real analysis? Any book recommendations? Thanks for the video!
    3
  21695. Thank you so much for your resourceful information. I really enjoy your channel and knowledge.
    3
  21696. me watching this and not having even the slightest interest in mathematics. i think i have to delete youtube.
    3
  21697. lol i've been too obsessed with dummit&foote lately
    3
  21698. Beautiful
    3
  21699. The Great C
    3
  21700. Modular Forms for sure
    3
  21701. 1 k views and no comments!!!!!!
    3
  21702. What about when you have numbers to answer when you have something like 15-19, 20-24,25-29, etc.
    3
  21703. This is the most motivational video any student would need, this is so true... It's the most normal feeling like you're running out of time to study what you recently are realizing is what you like... Thanks a lot for your video!!! And for read our comments, share us and help us!!!, very Good idea give your help and share it on your channel! 💕...greetings from Argentina 🇦🇷
    3
  21704. Is there any possibility of showing in each reveiw a theoretical or good theoretical book? Im not really very good at applied stuff it seems. I prefer the rigorous approach.
    3
  21705. Sir can you tell me what is the value of -cosπ
    3
  21706. There's another good book for undergrads that I think is excellent How to Think Like a Mathematician: A Companion to Undergraduate Mathematics ...KEVIN HOUSTON
    3
  21707. Bro do you have any idea of courier when it's arriving
    3
  21708.  @TheMathSorcerer  Do you send the courier or not??
    3
  21709.  @TheMathSorcerer  Ok bro
    3
  21710. Nice video sir
    3
  21711. His right eye is watching right into my soul
    3
  21712. I simplify all my studies by using digital scrapbooks and notebooks made with Google Slides. I take screenshots of notes on chalkboards. I use scrapbooks for brainpicking nerds' works. I screenshot their works in not only Youtube, also Facebook groups, Stackoverflow, etc. After that, I pore over screenshots and study techniques. I also collect pins of maths notes and formulae in Pinterest. They inspire me to learn maths. At Pinterest, I look up keywords like quaternion, matrix, differentiation & integrals, etc. I have pinboards on not only maths, also on physics, mechanical engineering, programming, electronics, etc. Colourful illustrations are more engaging for learning. I use too Lionit, a free open source site where you can make pinboards for all your notes and studies.
    3
  21713. I failed a lot of times in maths I will try to apply this, thanks for the good content I really appreciate it
    3
  21714. This is a very inspiring message for me. Just shared with 9 people.
    3
  21715. I really needed to hear this, thank you.
    3
  21716. Thanks..I am from Assam☺️
    3
  21717. Thank you this was super helpful !!!
    3
  21718. Best wishes for academic success as a math major student. You will do very well.
    3
  21719. the grading scheme where everything is exams makes me so anxious even if I know the material, I had one where it was 3 exams and a final with each one being 25% of our grade.
    3
  21720. Beautiful mess!
    3
  21721. what do you think about peter lax's linear algebra book ?
    3
  21722. I'm a 40 year old and I have started Statistic. It's not easy, but neither impossible. Thanks for your videos. PD. It would be great if the video had the subtitle option enabled.
    3
  21723. Mir is pronounced as meer
    3
  21724. Thank s
    3
  21725. He's looking straight to my soul, yes i will do my best to be the top 1%
    3
  21726. This finally makes since
    3
  21727. I LOVE thick sour cream with tortilla or potato crisps or Pringles. Sour cream tastes so yummy with spicy crisps or crackers. I just love sour stuff. I would often have sour cream with slices of sour Granny Smith apples. Sometimes, I love soft creamy fat cheese (Philadelphia) with salt n' vinegar crisps or sour apple slices. I had never tasted sour cream raisin cookies before. Sounds very yummy. I will check them out in any of American takeaway restaurants here in Ireland. Do Subway have them?
    3
  21728.  @TheMathSorcerer  Thankyou so much for your reply ...
    3
  21729. I did poorly in an introductory probability and statistics class. What textbook or textbooks would you recommend for elementary statistics?
    3
  21730. WHO wants your location
    3
  21731. Nice video
    3
  21732. Thanks Wise man
    3
  21733. I saw the spanish version of this video, and i'm really motivated now to ace all my tests and go very beyond the maths of my career (chemistry) teaches
    3
  21734. Going back to do mechanical engineering thank you
    3
  21735. I think part of getting to "real focus" point , may be BASED a question (or two), Do i want or need to learn (this) something? Am i ready to TRY, REALLY TRY?. We can trick ourselves and hide the phone for a few minutes. shut off the TV ect. But if you're not wanting to learn something - then it will be more challenging, especially if your not ready?. Being open to failure leads to those "AHA" moments which if (1) you've never had , are a real good feeling when you "get it". But wanting to learn something hard (math - for me) has always been a challenge. I get distracted if the problem becomes too complex, or long. i lose focus and interest! The curiosity or wanting to learn more things requires you put in some effort- try, (maybe fail) TRY AGAIN! I talk myself up into that- IT WILL MAKE ME BETTER, mentally stronger, more confident in my abilities to understand more technical subjects that interest me. My focus comes from telling my self i will study, learn read whatever for some period of time and feel good about myself for accomplishing that. IT's been a good start to help me move forward.
    3
  21736. you got to know when to bail
    3
  21737. Awesome book.
    3
  21738. Do many many more problems like this, please. You are amazing.
    3
  21739. Spivaaaaaaak!* *Like Sheldon screams Wheeaaaton!
    3
  21740. Enlightening! Thank you. Sending you greetings from Nigeria 🇳🇬
    3
  21741. I am 23 year old and final year student studying bsc mathematics(3 year degrees program) in south africa , I became very interested in pure mathematics this year , when proof based subject like real analysis, abstract algebra,complex analysis, logic and set theory we introduced to me,but now I am very addicted to pure math and i am running out of time .the only thing I want to do is mathematics , I wish 🤞 this modules were introduced to me at young age.Now I have to catch up . My university haven't yet introduced subjects like topology,functional analysis. But I self studied some basics concepts in those subject
    3
  21742. I get very excited when ur videos get uploaded 🤩
    3
  21743. Quick with the excuses and go out to just do it
    3
  21744. Damit im too poor
    3
  21745. Thanks
    3
  21746. "A new significant other" 😂😂
    3
  21747. If you want to make studying calculus and linear algebra easy, you should master geometry
    3
  21748. This was so beautiful :) Thank you <3
    3
  21749. Math is a very hard subject for me. I struggled with it in my first year of college. I went to tutoring everyday including the day of the final exam. I got a C but I worked for it .
    3
  21750. Okay, please don't mind. But I think the first step of the first problem was wrong. You can interchange the higher and lower limit of the integral , but a negative sign will come there. So in case of changing the limits of all three integrals, 3 negatives will come. And it 3 negatives results in one negative sign. You forgot the negative sign. Let me know if I am wrong
    3
  21751. Thanks a lot man, you are doing God's work
    3
  21752. The best way to make bench gains, is to start doing squats and deadlifts. I know it doesn't make sense, but it worked for me. More progress in 6 months than throughout all of high school.
    3
  21753. even i hated disc and shell method :-(
    3
  21754. your great professor!
    3
  21755. A bit "off topic". What software & hardware are you using in this video...?
    3
  21756. Hi! What do you think about calculus I & II by Tom M Apostol? Do you think they are a good books for basis of calculus and linear algebra in electrical engineering? (Ofc everyone can answer!) Thanks in advance! P.s I appreciate this video!
    3
  21757. Thanks for the video, rare to see sources similar to this one despite it being so important.
    3
  21758. Thanks again for making these videos. It's encouraging to see real math teachers speak so freely about these things!
    3
  21759. Im a few weeks into calc 3, and its killing me tbh. I havent taken 1 or 2 cuz i just did Calc BC, so idk if my perspective is screwed. But Calc 3 is like an entirely new way of thinking, its tripping me up. But I genuinely loved Series in calc, it was cool asf
    3
  21760. Awesome video! I am currently using the 2nd Edition of Ross.
    3
  21761. Confirmed again, mathematics is indeed the best tool and main ingredient of all sciences.
    3
  21762. Getting all 5s on my ap calc and physics exam. Literally cried when I found out cause I thought I failed it. Unrelated note I’m currently a undergrad that’s trying to get my PhD in mathematics. In your opinion should I graduate early with a mathematics major and a physics minor or two majors math and physics?
    3
  21763. I’ve gotten another degree every 10ish years. I highly recommend it.
    3
  21764. I completely agree with this video. I think what school fails at is showing my math is important and getting people excited about math. Too many people only learn that maths is a chore in school.
    3
  21765. Dude you are seriously the freakin best
    3
  21766. Every day trying to face feeling late
    3
  21767. Great video! 😀 Fun fact regarding Sonnenschein & Green, Complex Analysis: „Sonnenschein“ literally translates to „sunshine“ (Sonnenschein is composed of the two German words „Sonne“ (sun) and „Schein“ (shine)).
    3
  21768. Is this a rare book you only found in Brazil?
    3
  21769. Why is Jeff Bezos appearing in my recommendations lmao
    3
  21770. The typesetting for this book is an art all its own.
    3
  21771. Good video!!!🤩
    3
  21772. college is absolutely worth it for all things STEM. anything else is a slippery slope. But if you really enjoy what you study, it's hard to say it's gonna be a waste
    3
  21773. What's the BIGGEST Math book you have? And how about the smallest? Something about giant books gets me so excited! I think to myself, "I'm going to put all of this inside my head and walk around with this knowledge for the rest of my life!" 😆
    3
  21774. Hey Math Sorcerer, What do you think about Vellemans "How to Prove it"? Thanks
    3
  21775. Just want to say thank you so much for these videos! I've just finished my degree in mathematics and I got my results today. I got a first class in every module! (Averaged 90%) and I followed all of your advice from your videos! Many thanks!
    3
  21776. They can get almost any Blitzer book on Ebay. I don't mean to advertising Ebay & I hope its okay for me to mention Ebay. There are several copies of Blitzer's College Algebra on there for as little as 5 dollars. I bought two of of his book Thinking Mathematically ,which is very basic math with some algebra thrown in, and his book Introductory & Intermediate Algebra For College Students. I ordered 4 math total and it only costed me 18.85. Those Blitzer books I bought weren't over 5 dollars each. They also have his books,, Precalculus, and College Algebra & Trigonometry,
    3
  21777. Thank you. I needed this for 2021. Happy new year and earth traveled 940 million km (584 million mi) around the sun.
    3
  21778. This is a very inspiring video. Today I managed to figure out how to calculate gradients with partial diffi Q's. This is a level I didn't think I could get to. This means that Gradient descent is within reach, and so is ricci flow. I still need to work hard on discrete to really get my hands on topology. I have a Diffi Q book but it doesn't not go into partial Diffi Q's so I looked them up online and realized I could understand the basics. Tomorrow I get my advanced Calculus book, So I'm excited about that.
    3
  21779. wow. tnx alot sir
    3
  21780. would be great to find some out graduate exams from the 50's
    3
  21781. Thank you!!! Ooh no I have not I will definitely check it out, thank you!
    3
  21782. Lol! He looks like Jeff Bezos
    3
  21783. FIRRRRST!
    3
  21784. This video resonated with me a lot. I'd rather be a minimalist mathematician writing down ideas on paper than indulge in excess materialism. I always found that the ideas derived from our minds more rich. Something to think about in terms of the type of lifestyle I want to have in my life.
    3
  21785. Sorcerer recommends wizard book. I sense vested interests.
    3
  21786. real analysis is pretty bad online, gotta work with it though
    3
  21787.  @TheMathSorcerer  I've just started my "higher math" journey, and I'm 43. It's NEVER too late.
    3
  21788. Yes.....but we have to memorize the tables first 😊 said my Grade 2teacher 6
    3
  21789. Very good explanation.
    3
  21790. You're too cute hahahaha 😂😙
    3
  21791. So only ONE of the sets have to be empty in order for AxB to be empty? Great video !
    3
  21792. Dugundji is excellent if you can get a copy!
    3
  21793. congratulations 🤗🤗🙃
    3
  21794. People tend to think too much in terms of formulas (and algorithms for the "typical" exercises) when calculus is actually intrinsecally geometric. This becomes way more apparent in multivariable, e.g. when applying Fubini's theorem.
    3
  21795.  @TheMathSorcerer  you are #1
    3
  21796. Thanks, man! These problems bring a lot of fond memories, and certainly are very useful and entertaining
    3
  21797. Karen sounds like Oscar the grouch! Any “relations?” 😂😂😂
    3
  21798. Had to watch this🙌
    3
  21799. Thank you so much, this is really helpful!!!
    3
  21800. ASMR for us nerds lol. Great vid!
    3
  21801. Great video. It's so interesting to take a look at your library. I really enjoy hearing what you have to say because it gets me so excited about learning. Am I'm retired!
    3
  21802. I'm bad in math but I'm interested in computer science which math topics I have to study
    3
  21803. wow! legendary indeed!
    3
  21804. Thank you so much sir.. it's Qsn is very essential 4 me..
    3
  21805. I am finishing to study a 5-year degree in Physics, and I want to become the best theoretical physicist I can, focusing my research in the most theoretical and mathematical topics (without converting myself in a mathematician), do you think is necessary to study books of Topology? or is better to focus only on books like differential geometry for physicists, fiber bundles for physicists, knots for physicists, etc.?
    3
  21806. Thanks alot for this good job and your guidance...♥️
    3
  21807. Thank you!
    3
  21808. First
    3
  21809. i never read any books and Im pretty good at math.
    3
  21810. Thank you, very much. You’ve helped me created a study guide for my exam. You are a blessing 🤟🏽💯
    3
  21811. Excellent advice!
    3
  21812. is it good to qualify jee mains an engineering based entrance exam in India
    3
  21813. Good for Josh
    3
  21814. People with a higher iq learn faster than people with a lower iq
    3
  21815. thank you!
    3
  21816. This guy is on the ball ,human touch ,I’m guessing he’s a pretty thoughtful teacher
    3
  21817. This book looks amazing! I'm excited to purchase it!
    3
  21818. can I ask you a question? do you know what's the reason why some books only have answers to odd numbers(mostly in the back page or in solutions manual)? how will I know if I get the right answer in "even" numbered problems? can you explain for me why do math books don't provide all the answers, because they only provide answers for odd number... anyways, your advice in this video is great, thanks by the way for inspiring us
    3
  21819. super like #mathtutorial
    3
  21820. FIRST! HA!
    3
  21821. The one on the left I had it as a pdf maybe with another from the same other but I'm not sure of it anyways great vid like always
    3
  21822. Do PhD students study boring problems or interesting problems?
    3
  21823. Calculus 3 is basically fundamentals of Calc 1 and 2 but in 3D. For some reason I had the hardest time with Calc 3
    3
  21824. "Hello I am professor... Dork" You lost me after that
    3
  21825. A n early 20 minute video from The Math Sorcerer? Christmas came early!
    3
  21826. Lol! I'm speechless.
    3
  21827. This came at the right moment, thank you mighty wizard😊🪄
    3
  21828. Looking back on your professor's explanation of induction, in light of the understanding you finally gained of the topic, was his explanation actually very poor, or average, or good? Would your explanation of induction be far better than your old professor's was, if a student came to you for help on the topic the way you once did?
    3
  21829. Failing hurts though...
    3
  21830. many thanks for these videos, much appreciated.
    3
  21831. Thanks bro
    3
  21832. a great video
    3
  21833. What's your opinion of Intro to Calculus and Analysis by Courant ?
    3
  21834. I used Linear Algebra by Hoffman-Kunze for some homeworks I did with a friend at college. Also I worked exercises from Advanced Calculus by Schaum's publishers, in fact a professor I had put lots of examples from that book to show and give solution on class. :)
    3
  21835. Yo when did Jeff Bezos get a hair transplant and become a math lecturer?
    3
  21836. you mentioned ucf ! do you teach in the area?
    3
  21837.  @TheMathSorcerer  wow wish I could've taken this class as a transient student instead ! thanks for everything :)
    3
  21838. This is a great series
    3
  21839. My school is shutdown and the crazy part is NONE of my professors have emailed anything about doing online work. I’m not even sure how long it will last. At the university...
    3
  21840. I have 7E of this book, along with both instructor manuals - this, was the reason I got this edition. From what I've read in some of the comments, 7E was the last edition before this title started to change and become something else. Everyone seems to have their favorite, which is amusing. Jeez, since I purchased the instructor's manuals, part 1 has trebled in price, part 2 has increased by 10 times. 😬
    3
  21841. I salute you, I can't read so many books on same topic. I stick to the one most related to my coursework
    3
  21842. Excellent video.
    3
  21843. 0:58 I love it I always knew that's what that was for! 🤣
    3
  21844. This video 📷 was helpful for me ❤️ thanks 😊
    3
  21845. Sorcerer indeed
    3
  21846. Ahahah... if you need a can of beans, we can get that for you as well... lol
    3
  21847. I didn’t realise I do this but I do usually I try skip unnecessary lines or try get in to a pattern or rhythm so I can just blaze through the tests
    3
  21848. I had to comment just to share my excitement over that integration technique, wow
    3
  21849. oooooooover
    3
  21850. Great video! Have you heard about Contemporary Linear Algebra by Howard Anton, thinking about buying it
    3
  21851. Nice
    3
  21852.  @TheMathSorcerer  😍😍
    3
  21853. Already said, but: that's because the calculus series is pretty much the only math most STEM people are required to take. However it was kind of true in my case since it was a very proof-heavy course -- I'm a math major in my country's top uni. Thus I think the hardest course is whichever is the one where you learn how to read and write proofs: depending on your institution and course load it could be honors calculus/real analysis, linear algebra or discrete math (a biggie for CS majors I've heard).
    3
  21854. Thank you ❤
    3
  21855. I just failed this year in choosing a college... I did my country admission test last year, and I did well. I was able to choose any career that I wanted. I got in shock at that moment. You just have 3 days to finally choose your degree with your admission test results, I didn't know what to select. I was just ending choosing the degree that seemed future-proof for work and that I thought had some topics I would like (Telcom and CS degree). After six months of studying, I have to say that I have just fu***d up my opportunity. I have loved the programming and math topics. Actually, I think I enjoy math much more than I did in high-school, indeed. But I just failed at choosing my college. It doesn't make any sense that I have the same number of topics related to my degree as "integral formation ones like history, communication, and physical education. I can't get through it. I can't believe that I have just failed. Now, looking back at the time when I had to choose, I just found that I could have opted for a free scholarship at the best university in my country [...] but I can't apply anymore, is over I think. I'm sure that I will switch from college, I just can't make up my mind to do half of the degree in topics that are not related to it. For me, it doesn't seem reasonable. I just wish I could come back in time to fix the error I made. Looking for some advice :( Thanks for your videos, btw _;)
    3
  21856. I didn't get a notification and hence not first😭😂
    3
  21857. True!!!!!!!!!!!!!!
    3
  21858. omg...you are unbelievable, what a nice explanation!!! I wish I had a doctor like you💔. thank you so much for helping
    3
  21859. Thanks bro
    3
  21860. I haven’t found the quote that’s mentioned at 3:52 in Solow but it’s on page two of the sixth edition of “A First Course in Abstract Algebra” by John B. Fraleigh.
    3
  21861. Nice book.
    3
  21862. In my opinion, a good teacher is the one that can teach math to a dummie. Math on its own is hard, but if someone explains it well. Eveyone can learn math
    3
  21863. how do you get such books? do you order them online or do you have used book fairs or something near you?
    3
  21864. please continue this Sam Sulek Car drive Videos😂😂
    3
  21865. Me when he says homework is just good to do: SIGN ME UP Me ignoring the rest of the issues with the class: This is fine.
    3
  21866. Well explained..
    3
  21867. You always motivate me sir...... Thank you !
    3
  21868. Spivak is excellent as a source of interesting and challenging problems, but is hopelessly wordy as a textbook. Steven Lay's, Analysis: An Introduction to Proof is (among others) a much better book to use as a real analysis text. On the other hand, Dummit and Foote is excellent in all respects.
    3
  21869. Oh wow, your views hit 100k. Keep it up!
    3
  21870. Thank you soo much... It is really helpful to me and the explanations also very helpful to me.....🙏
    3
  21871. 1:10: yes, definitely it's important to be consistent in maths, i used to think about consistency while solving problems
    3
  21872. Lol I’m Chinese but not proficient in Chinese jargon Just the ones needed for newspapers and nothing like 微积分基本定理 = Funamental theorem of Calculus
    3
  21873. please make a video on mclaurin series expansion of x.cot(x). the tricky part here is that cot x at zero is undefined.
    3
  21874. You what . I am 47 years old physics undergraduate student right now :)
    3
  21875. The way he writes is wack
    3
  21876. My advice is to major in mathematics. Med school is very competitive but not for math majors. No one wants to major in math. Take as many courses in biology and chemistry. Take the preparation for the MCAT very serious. Medical career is extremely intense for a long period of time so make sure you are passionate about it.
    3
  21877. Whenever someone says, I want to major in computer science, I hand them that book. I have scared my fair share of people away from computer science.
    3
  21878. Thank you
    3
  21879. Your story is inspiring for others to hear.
    3
  21880. At 4:20, "You can throw these [notes] away." As an engineer I followed the very valuable adivce of my physics professor, "Never, ever throw your notes away."
    3
  21881. First.
    3
  21882. This truly is, crazy stuff. o.O
    3
  21883.  @aaronpearson1400  He is the Best!!
    3
  21884. Great
    3
  21885.  @TheMathSorcerer  Thank you! Ill go with this book then ^_^!!
    3
  21886. Ok but the fifth edition of Schaum’s diff eq is so good. The cover is like textured and is a fantastic pick.
    3
  21887. I love your videos =)
    3
  21888. Hello Sir. I would like to ask you what book I should read when I study "Measure Theory"?
    3
  21889. I love your method of teaching
    3
  21890. In Italy at the end of high school we are required to solve harder problems
    3
  21891. I got my copy used from a fleamarket, its an older version as far as i can see. Its from 1979 and has a red dragon getting pierced by a knight on the cover :) It taught me alot of theoretical stuff but i'd say get a newer version, its still printed so you can get it for like 55 bucks
    3
  21892. I have a physics BSc degree, I kept studying on my own after I finished uni and now I'm thinking to go back for a Masters. But I'm in my early 30's so I don't know if it's worth it.
    3
  21893. But how on earth would I know if my method is correct 😖
    3
  21894. you had a friend that was a prince from saudi arabia? ok, THAT is really cool
    3
  21895. thanks a lot ❤️
    3
  21896. Went through the same thing in organic chemistry
    3
  21897. Consider functions f : A→B and g : B→C Prove the following: 1) if f and g are one-to one, then the composition function gof is one-to-one. ii) If f and g are onto functions, then gof is an onto function. solve this pls
    3
  21898. I wish I could give you to subs 🍻
    3
  21899. I can't relate coz I'm self learning math😂😂😂
    3
  21900. nice recommendation! thanks
    3
  21901. Which books should we avoid? Currently I’m in differential equations and the recommended book isn’t he best. What books should for linear algebra, abstract mathematics, or complex variables?
    3
  21902. theres no way i clearly understood this concept in this less than 3 minute video as compared to me not understanding the college professor who gives an hour lecture on the same topic irl
    3
  21903. thank you <3
    3
  21904. First Edition Second Impression Great Depression
    3
  21905. *sets down phone and gets back to math class...
    3
  21906. My worlds are colliding
    3
  21907. I'm from Poland, my school is shut down until 14th April but it's probably going to be more because outbreak has just begun, some classes are conducted online but for our calculus 2 we just got a set of exercises with answers (lecturer is trying to write whole solutions in LaTeX), and he sent notes for the lecture (he doesn't explain much so whatever) but it's difficult to do exercises without explanation first, it takes much more time that way, but hey I save 2 hours daily on not commuting, thank you for all your videos
    3
  21908. Sir Can you plz tell me only 1 book to start my calculus from basic to Advanced after solving that i'll buy another book ,love from India🇮🇳Big fan Sir
    3
  21909. That's a lot of stress! Haha
    3
  21910. Bro looks like reincarnation of newton
    3
  21911. Exactly trying to understand something so hard puts up a resistance and stops your flow We're not meant to understand the first time so revisiting brings down this wall of resistance and you just get accustomed to it
    3
  21912. Dear Professor, I find all your videos so inspiring to me. Thank you so much for sharing your experience and views on learning math.
    3
  21913. Thank You.
    3
  21914. You should do a collaboration with another math youtuber called nancy and with another youtuber who,s channel I think is called britthemathguy.
    3
  21915. Wow this is the book we used in 1965 at the college of education at the Baghdad university Iraq as we were becoming Mathematics middle school and high school teachers. We used the book for year 1 and 2, the book had red hard cover. As a matter of fact I still have this valuable calculus book here in America.
    3
  21916. What a sorcerer!
    3
  21917. Thank you so Much 🙌🏻 For This One
    3
  21918. Thank u so much............very helpful to complete my home work
    3
  21919. Hey, Please make a video on How to understand illustrations and learn most out of them. I haved watched most of your videos and it help me a lot I hope you read this comment
    3
  21920. Ooooooooooooooooooooh yes, it's just superb!!! 😎
    3
  21921. Hostpitals rule is overpowered imo 😂
    3
  21922. I wish you would make a video explaining the "large" operators I se in a lot of advanced math books (i.e. Large intersection, union and Pi symbols with subscripts). The books all assume you know what they mean and how to work with them so they don't bother explaining them.
    3
  21923. I'm in differential equations right now and I cannot tell you how much I appreciate your channel. Your content is liquid gold. I've only ever had one math teacher in my life who I understood the first time through and now I have that again with you! Thank you for sharing your knowledge!
    3
  21924. Same! Thanks Math Sorcerer!!
    3
  21925. i love your videos man! keep it up :)
    3
  21926. thanks dude
    3
  21927. Nice video :)
    3
  21928. At my college, an applied PDE’s class and an engineering complex analysis course are required as well for the engineering degree. Not to mention that almost every engineering class revolves around physics. Engineering is generally the largest degree too, credit wise. We take a lot of pretty tough courses. I think physics may have harder courses, but they have to take less of them. I think overall, physics may be harder for the average person ; however, the people that generally do physics are out of this world smart and they are hard workers as well. They make the physics look easy. Whereas, some of the people in engineering aren’t necessarily the smartest, but they work their but off.
    3
  21929. Very helpful 👍🏻
    3
  21930. Can you please upload a video on Laplace Transformation?
    3
  21931. Very inspirational! Thanks prof
    3
  21932. Thank you! Excellent!
    3
  21933. ❤❤❤❤💙💙💙💓💗💗💔💕🌹🌹🌹🌹🌹😑😑😐😏🌷🌷🌷😁😁😁😔😎😎😎😎😔😔😾😾😾😾❤❤❤
    3
  21934. 1:13 😂😂
    3
  21935. The are good friends if they are asking you to help Some of my classmates Were stealing all my notes and books before the exam and They return after the exam Sorry my English is not good
    3
  21936. Love hearing your vids man, they be inspiring me and hyping me up to actually go into my math classes excited to learn. Much love
    3
  21937. THANK YOU SO MUCH, MATH SORCERER!!!!! I'm buying this book!!! Thank you!! :) :) :)
    3
  21938. I have a couple of questions: 1) how are open sets defined without a metric? 2) what's the difference between a collection and a family (of subsets)? 3) can you make a video on manifolds?
    3
  21939. I remember when i was learning inverse laplace transforms if i didn't know some of the integration skills that i built up in calculus (partial fractions for example going through it would have been extremely difficult for me so as you mentioned algebra is extremely important for calculus Or exapnding it in a power series and then taking the inverse laplace transform i learned partial fractions in the calculus course anyway😂
    3
  21940. Thank you, I needed that.☺
    3
  21941. is there a calculus 4?
    3
  21942. ngl, he really looks like a sorcerer
    3
  21943. love your thoughts on Keisler's book based on nonstandard analysis
    3
  21944. just the video i need ...
    3
  21945. Could you open them? Show some examples please
    3
  21946. amazing video ! :)
    3
  21947. "In a somewhat linear fashion" nice pun :)
    3
  21948. Needed this one.
    3
  21949. great, wish i were a book person. im a video person
    3
  21950. Oh wow you have so many old timey books in the background. The material in there must be rough....
    3
  21951. I really like you.. I wish that I could be part of your students in the class. They're lucky!
    3
  21952. Yay, fast examples!
    3
  21953. someone give this man a medal!
    3
  21954. You reveal our secrets
    3
  21955. +1 for Silverman. His other calculus book ("Modern Calculus and Analytic Geometry") is also excellent👍
    3
  21956. Wait! You’re not going to sniff it?????
    3
  21957. Its Guh-ouss :)
    3
  21958. Can you please point out the best analysis book in your opinion.. please. Thanks sir
    3
  21959. you have so many books :)
    3
  21960. Just half?!
    3
  21961. ❤️
    3
  21962. "When you write a program, it's easier to write you're own program than try to look at someone else's code." Yes, definitely! I feel like you learn a lot more when you write your own code (and proofs). Good to know like The Doors! :)
    3
  21963. 1 comment
    3
  21964. So, sir is doing proof is neccessary
    3
  21965. by the way the first tribal intgral when reversed there should be a negative sighn
    3
  21966. As long as you try again.
    3
  21967. The book's cover is very attractive. I judge a book by its cover 😈😂 fr it looks very organized and comprehensive. Thank you for sharing!
    3
  21968. Guys It was just a joke
    3
  21969. Thank you very much, all your videos have helped me to understand the problems, greetings from México.
    3
  21970. Thanks. I thought Advanced Calculus is a Calculus book. Now, I am going to start reading Buck's book soon.
    3
  21971. great explanation. I will try some examples using this method.
    3
  21972. I want u to share ur geometry book🤗😌 Plzz..sir💯❣️🤙
    3
  21973. You must have bought more math books than ever. Up to date, I have been spending more times at studying digital 2D animation than maths. Studying softwares is time-consuming. Occasionally on my tea breaks, I do math puzzles, whenever I see thumbnails of challenging math problems. I love solving math puzzles, yet I hate crosswords. Sometimes, I find shortcuts in solving problems. The more exercises with solving problems, the faster and more experienced I become.
    3
  21974. I'm very curious about math myself but I'm almost certain that persuing a degree in math would stress me out to the verge of a mental breakdown. I can still do math as a hobby, but my future occupation is gonna have to be something more aligned with my intellectual aptitude.
    3
  21975. Because American Highschool exams are multiple choice so it is much easier to pass without knowing it well. Here in the UK, you can get your answer right but only get partial marks (points) or on some cases no points, because there are steps to the answer you have to include
    3
  21976. this is next level of alge-bruh abstraction mate
    3
  21977. And why would i do that 😂😂😂
    3
  21978. "Our greatest fear should not be of failure but of succeeding at things in life that don't really matter." ---Francis Chan
    3
  21979. I think linear algebra, calculus, and statistics are the most important courses. In my opinion, everything else is philosophy.
    3
  21980. Thank you very much.
    3
  21981. Thanks for busting my budget again Math Sorcerer!! LOL!!!
    3
  21982. Great content once again
    3
  21983. Great one thanks 🙏
    3
  21984. So you're telling me you don't live in a mathematical wizard tower?
    3
  21985. Oh thank you!! I was already imagining myself asking the teacher in the middle of the quarantine
    3
  21986. Never believe you are innumerate or that you have dyscalculia. Be aware of what is keeping you from what is hindering you from becoming better at mathematics.
    3
  21987. What about a vid about your favourite theorem and what it means to you?
    3
  21988. He looks like Jeff Bezos with long hair
    3
  21989. Now tell me how to make friends when YOU are the maths guy.
    3
  21990. Should I do complex analysis before real analysis? I heard they're not really prerequisites of each other and real analysis is supposed to be quite difficult.
    3
  21991. Solid State
    3
  21992. One Day you'll be know me for my works
    3
  21993. Thank you!! Good video
    3
  21994. Damn, the math sorcerer getting thicc :)
    3
  21995.  @TheMathSorcerer  Thanks for the Book site, that's actually super useful! Looking forward to it!
    3
  21996. Hey Again! Perhaps doing a more in depth version with those "left out details"? We seem to coincide a bit. My ambitions lie within Quantum Information Science / Quantum Computing but I'm in calc 2 right now and somewhat love it. Since I took Calc 1 over last summer I've been really interested just in math. I don't know why but it's cool, feels powerful to be able to do these things. Nonetheless, perhaps more of these types of videos where you talk to us about your life or things that you have done. I really enjoy hearing other's stories and experiences. Regardless, I appreciate you having made a youtube channel about Math. Truly one of my favorite youtubers! Wish I had ya as a prof!
    3
  21997. Thanks for this, it made me feel better. I was doing a practice paper and got 55% and im really kicking myself. But im not going to give up !
    3
  21998. Love from South African ❤
    3
  21999. I like how you pause on the words " have to", as in, "you have to take out the trash now!" because I imagine, you HAVE TO do math , as in, too enjoyable to ever think about not being allowed to do it. torture would be locked away from math, never to enjoy a curvature, or inequality, or matrix again. on a side note. Are you a fan of Ralph Bakshi's "Lord of the Rings"?
    3
  22000. I bought the 3 volumes of Principia Mathematica of Bernant Russel a while ago, I tried to read it but got scared away for so many symbols hahaha
    3
  22001. Hi
    3
  22002. Can you talk about how to know which schools to apply as "safety" options?
    3
  22003. I appreciate the coverage of Lighthold's calculus book. I enjoyed watching Stand and Deliver.
    3
  22004. You may occasionally hear "x dash" instead of "x prime". (:
    3
  22005. This is sold for 75 $ in the internet, it’s super expensive when it was really very cheap. Independent Sellers are insane. Also I think it’s present for free on the internet published by the Mir website.
    3
  22006. I've got the FIFTH edition in my home library!! 😉
    3
  22007. I loved this video and it really helped me too. I absolutely love math and even though it was a struggle I could always figure it out. I'm now in physics for engineering and I have never struggled this bad in a class. I will do homework for hours before getting anything right and it's maddening. One thing I've learned really helps is just being in an area with someone whos knowledgeable on the subject and can help guide you when needed, otherwise you could spend hours in the wrong direction easily. This video also just made me realize another reason I struggle which is feeling like I need to know and be 100% comfortable with something before moving on. In physics I just never feel confident in my answers the way I have in math. This video made me think about how I should just move forward instead of getting stuck in trying to understand something 100%. I forget that once upon a time trig was something I just couldn't understand and it wasn't until I got out of trig and actually used it repeatedly that I really understood it. Physics may be the same, in the beginning I may not understand but maybe if I just move on and keep going something will make more sense the more I learn in physics. Maybe I'm wrong, who knows but this has been the hardest class ever and I just really want to feel like I understand the subject 100%.
    3
  22008. Where do you teach, Professor?
    3
  22009. I’ve been meaning to write this ever since I watched your video 3 minutes after it was released on YouTube. :’) I spent most of my elementary, middle, and high school years not really carrying too much about school. Well when college rolled around I started off in a class called “intermediate and elementary algebra”, at the time I thought that there was a ton of homework in class, and around the second week of college I got into my moms car and I started to cry... I said, “I don’t think that I’m meant to go to college...” blah blah blah, my mom ends up telling me to go to the free tutoring center at my college. I end up going there and getting help when I needed it, but what was most impactful about going to the tutoring center was the environment (bright lights, quite, etc) and the people (tutors, etc). I ended up forming a study group(s) for the class and on tests days (sometimes normal class days) I would go down to our classroom 30 minutes early and start writing a review of the topics we were studying on the board with my white board markers. A lot of my other classmates would also show up early because they knew about my little reviews and they would take part in it and ask questions on topics that they didn’t understand or wanted to bounce ideas off of me or our other peers. I ended up getting an A in that class. *Note: The reason why I did these reviews was because I didn’t have a job at the time but I knew that most of the class did, and the course load was a lot so I thought that I could make it my “job” to help get as many of my peers as I could to pass the class. Next was College Algebra and I organized study groups where most of the time we would meet at our local public library on weekends. *Unrelated Side Note: I stoped going to the public library to study on weekends after some really creepy dude tried to convince me to follow him to his car and told me something like, “don’t worry, I’m not going to hurt you. I’m not a creep.” Yep... that happened and I think that is a tamer version of the words he used. Thankfully this was after my college algebra class ended so I didn’t feel like I had to go there for any reason. I went a bit on a tangent, eeek... Ok so my college algebra class ended up going great, the study group meetings helped us all out, and we all passed the class with either A’s or B’s (I got an A). My professor also was (and still is) an amazing person and would spend 20 minutes after class had ended going over questions we had. I ended up being offered a job at my colleges tutoring center as a peer tutor because they saw all of the study groups I had formed (since we mostly met at the tutoring center on weekdays). I have an unproven theory that I may have been hired because I was like a competing business (albeit a free, student led one), but that’s just a funny idea in the back of my head. Then I took “Trigonometry and Precalculus” (a combination of the two put into a single class), the Calculus 1, and now I’m currently in Calculus 2 with a 95%, 94% on my first two exams. *Note: Still tutoring at my colleges tutoring center. And all of this started with an 18 year old guy crying in his moms car. 😆😅 I tell a shorter version of this story to people that I’ve met that tell me that they’re feeling doubtful about their capabilities. I have ADD, I’m not special (Although... I’ll accept any compliments stating otherwise ;) ), I’m not innately “smart”, I’m just a hard worker... That’s all. *Side Note: I only get about 2 hours to myself (i.e. not working or studying) every day or so, and I’ll usually spend that time on YouTube. I use to play video games but I don’t have the time anymore so I haven’t played any for about 7 months, and I’m glad I haven’t.
    3
  22010. The graduation requirement from the UC Santa Cruz Physics Department was a Senior Thesis. After reviewing a number of topics in upper division Electromagnetism and associated mathematics, problems marked with a star (*) as "challenging" would be good starting points for an undergraduate research project. Explore the same thing in Mathematics. Look at the 'hard problems' and the bibliography to find a suitable project.
    3
  22011. we do it playing a video game or pinball wizard but now the real world surging that energy
    3
  22012. GED to math professor?
    3
  22013. Great video, man. I always complain that differential equations professors have at my school focus solely on teaching the algebra of solving equations but don't ever look at the meaning behind the equations.
    3
  22014. What is the difference with the first and second edition? I want to buy this book but I don't know which edition since there is no "look inside" on amazon
    3
  22015. First
    3
  22016. Thankyou you save me from my teacher
    3
  22017. Dear Math Sorcerer, What would be the hardest math course that you could take, right now? And/or what would be the hardest math subject for you to study right now, even given all you've already mastered? Hope you like my question!
    3
  22018. One can generalize this to any field of studies...
    3
  22019. not first :)
    3
  22020. so far general topology and real analysis are what I've found the most difficult (still need to pass real analysis on may). Next year I'm supposed to take measure theory so I'll get back to ya lol
    3
  22021. Thanks.
    3
  22022. Calculus 9000
    3
  22023. Super helpful! Thanks for taking the time to break it down bit by bit.
    3
  22024. This is funny and inspiring at the same time!
    3
  22025. Those must cost a fortune, and pretty safe against burglars, I don't think any burglar would bother carrying any of that.
    3
  22026.  @TheMathSorcerer  sir, again, in some hours, I have a very important math exam, and I'm aiming for a 100 sir:)
    3
  22027. Fun presentation, thanks!
    3
  22028. Do I need to understand matrices, determinants, etc. as a preliminary to studying differential equations?
    3
  22029. Duude I have this book, and I froth for it.
    3
  22030. Very helpful. Thanks so much for sharing your experience.
    3
  22031. It’s cool that you’re talking about finance books, but John Bogle had the best finance program on earth, that there has ever been. Everything else is a lark. Obviously there is a maelstrom of alternative investment strategies, and I guess that’s okay. Mix it up! But in the long term, all your base are belong to us.
    3
  22032. Life saver! Thank You
    3
  22033. Okay, if you want to pull out the measuring tape ... I've got just under 20 feet of math books. One word if you're building a math library: DOVER!
    3
  22034. i dont understand how he is bald and full of hair at the same time
    3
  22035. I guess the main takeaway from this video is that you need to be extremely dedicated to be a “career math person” who gets paid to do research. Kind of reminds me of an earlier video you did about how people who are obsessed with math tend to make it further than people who aren’t. So far my obsession shows no signs of stopping, so we’ll see 😆
    3
  22036. Strang, Lay Lay, Boyd. I may recommend these 3. They are not bad.
    3
  22037. i need to get back into trigonometry.
    3
  22038. thanks
    3
  22039. my man..blink .. blink, like is too short not to blink
    3
  22040. The earth is actually oblong shaped. A football, not the one used to play soccer is a close facsimile.
    3
  22041. Really like you, sir, because you spoke the fact...thank you
    3
  22042. Thanks...real thanks ..you are for real!!
    3
  22043. Really appreciate these bite sized motivations ,thank you sir 🔥🔥
    3
  22044. I'm really interested in learning math but I'm very bad at it. I'm 27, is it too late to learn math from basic? Can u provide some very good resources for self studying the foundation? I want to learn calc but have no foundation at all.
    3
  22045. People in comment section. What was ur grade in calculus?
    3
  22046. I use this method, but with a real alligator for the sake of accuracy.
    3
  22047. Nah, literally never had less than a B in any math class until Calc
    3
  22048. I am in high school too but we still stuck with geometry and algebra, we will take calculus soon , can you leave a suggestion about how shall I start learning calculus?
    3
  22049. my dude blasting with +1 int hairstyle
    3
  22050. I feel you are talking dire tly to me
    3
  22051. Yay!!! I bought the graphing calculator! I was waiting to hear from you on this matter
    3
  22052. Not sure if one can force themselves into obsession (nor if it's a sane thing to do!), but loving what you do as a hobby or as a living is always a good thing, whether it be cycling, music or mathematics -- it means you got part of your life figured out. :D
    3
  22053.  @TheMathSorcerer  Cost me blood, sweat and tears.
    3
  22054. I can't express how much I needed this video. Thank you.
    3
  22055. Not the biggest fan of books without solutions. Yes it is important to put time into constructing an answer, but something equally important is being able to either validate or even understand the thinking required to achieve a appropriate solution.
    3
  22056. Have you ever read Linear Algebra by Smith? I picked it up as a requirement for a second course in linear algebra and am curious of how you think it holds up. Cheers!
    3
  22057. Helps you learn Spanish at the same time. What a cool 📚!
    3
  22058. Great now I have to change my schedule since I planned to spend the entire day in self-pity.
    3
  22059. first!
    3
  22060. Zero is an even number.
    3
  22061. Everybody does have God-giving talents!!! For the wellbeing of humankind
    3
  22062.  @TheMathSorcerer  Wow! I didn't even look in the description until just now when you mentioned it.
    3
  22063. @The Math Sorcerer i didn't meant to offend you because you don't even look after him it's just that you remind me of him.
    3
  22064. The only thing I don't like is the presentation of fractions as inline. I rewrite problems like those, and eat the page using full notation. But they look like decent enough books.
    3
  22065. Thank you from all those GED out there!
    3
  22066. "I love the smell of old math books in the morning!"
    3
  22067. Ohh same question thanku for the video really helpful
    3
  22068. I wonder what egotistical professors do when they meet rare students who may be years ahead of them or even few decades ahead. I have met a RARE few students so like that and I always find them in (open-source) 3D software communities where they have hobbies. They most use Blender (best FREE open-source software) for art, animation, mechanical engineering, robotics, physics simulations, etc. They are the rare ones who could really write badass maths for physics simulations for 3D realism like rainfall, thunder, fire, explosion, cloth behaviour, etc. I often wonder what their professors think of them. They are not just math geniuses, but math wizards. They include youth prodigies, the rare ones who think and write like 30 - 60 year olds, their academic English highbrow, their academic standards exceptionally high and exacting. For example, in Facebook groups for 3D software Blender, we have this one teenage prodigy from Egypt who is way ahead of his engineering professors. Highly prolific with his contributions in groups, he seems limitless and matchless in what he does in maths for 3D realism. He writes his maths in scripting & programming languages and also maths in node compositing inside 3D softwares. I have bulging scrapbooks of his works, of course with his consent. His works are gems. For brainpicking and study purpose only, I collect thousands of screenshots of creators' works for my scrapbooks which I freely share with the public. Credits and links to creators given, of course.
    3
  22069. I was taught college calculus from the 3rd edition of this book.
    3
  22070. Would love to see more books like this!
    3
  22071. Thanks for sharing so much with us on a regular bases. I really enjoy your channel.
    3
  22072. I so needed to hear this because I need math to become a chemical engineer
    3
  22073. Super sick review! thank you!
    3
  22074. What’s the partial differential equation book like?
    3
  22075. The key is to be consistent and solve a lot of tasks. You may wonder how our maths teachers have gained their knowledge. Simply just because of solving tons of different exercises and practice.
    3
  22076. Why am I getting this recommend after i didn't take maths after 11th?? 😭💀
    3
  22077. Probably because other countries place more emphasis on the quality of their public education systems.
    3
  22078. Recently I had taken a math exam in which I got an 100, it was my precal final. What I noticed is I always had a lot of time left over because even if I didn’t realize it till now, my speed was actually pretty good. The reason I was able to score so high is exactly what you mentioned, I literally took the whole exam again from scratch!
    3
  22079.  @TheMathSorcerer  Yes sir, a tribal group in India named Aghori eat only 1/2 a glass of honey and sometimes they eat human flesh and that's it for a few days of mountain climbing. I have been with them for some time, and they are absolutely amaizing. They truly live their life to the fullest. I one of them fall from mountains, having a tree pranch rip through his back and still laughing. Their understanding on the world is fantastic and are a very loving group of people.
    3
  22080.  @TheMathSorcerer  Thats great! Forgot to mention, the prime minister of India: Narendra Modi sleeps only 3 hours and eats only honey in the morning, some curd with sugar in the afternoon and two idlis with sambhar in the evening (barely anything). Also, there are some Ayurvedic solutions to low energy level, negative energy and all that, but honestly almost no one would make the effort to actually made drinks for themselves XD.
    3
  22081. Great video but annoying music...!
    3
  22082. Wow, I fail to recall when was the last time you had a goatee.
    3
  22083. "Mir" publisher name is transliteration from "World" or "Peace". There was a saying in USSR "Миру мир" (Peace to the world).
    3
  22084. gracias
    3
  22085. Dude, there is more than math in your channel, it is pure educational!!! Math is so enjoyable, it is like poetry and nature. it is learning our own minds in a pure abstractional way and so efficiently being in Nature. Math is the essence of everything that is awesome!!!!
    3
  22086. I just found this very book , and it's companion volume "A Second Course In Calculus" , in a used book store. I bought the pair of them. Same dust jackets as yours, same printing date. Glad I found them.
    3
  22087. Haha, Flaggergas’s face; priceless!!! Love it!
    3
  22088. Thank you sir
    3
  22089. Wow 😮
    3
  22090. That is so me when I lose concentration at late hours of day, sometimes after 6 pm. I sometimes have disturbed sleeping patterns. I recently remedy by taking little of drowsy flu medicine.
    3
  22091. What do you think of Scott Young's MIT Challenge? He managed to learn linear algebra for only ten days! I'd like to try it myself but I am just stuck at the third lecture and it's already a week!
    3
  22092. You are a gold I wish If we could have someone like you teaching in iran
    3
  22093. I find it hard to figure out what other people know. My default would be to think the anyone I pass on the street knows calculus, but that's definitely not true.
    3
  22094. I first read "how to stay confused"
    3
  22095. This looks like a made-by-library hardcover. I didn't know they did that in USA. My college library in a certain African country used to do this to soft cover books to extend their shelf life. We actually didn't have any soft cover books on shelf, everything (except journals I guess) went through the binding office and got converted. We were too poor to take books for granted. Even Schaum series got turned into hardcover. Incidentally, I also find the 'ex-library' thing weird. This didn't happen where I grew up, maybe because we were just too poor. But more importantly, I think this mechanism has potential to become an underhanded method for 'book burning.' I often find classics getting dumped -- leaving me to wonder what replaced them and who gets to decide? So what book was this book replaced with? I wonder.
    3
  22096. Examination copies are for instructors who are considering using a text but have not adopted it.
    3
  22097. Love this advice
    3
  22098. Funnblox R u a sponsor God😂
    3
  22099. Thanks. Sometimes older books have more details & better explanations.
    3
  22100. Nothing better for students than taking time out to learn on their own. Do more that it's requested by the professor.
    3
  22101. Thanks math sorcerer. I really needed those words.
    3
  22102. Hello hope you are well. In many videos you said that speed is really important for math. But, you didn't really mention HOW to do that. Do I do problems I already did but try to do it faster? Or do I just start rushing through problems and then after that hopefully I won't get wrong answers? Also if I want to set a timer how do I know which problems would take how long? Should I look for practice tests and use a timer? Also I have slow handwriting so do you have any tips to improve that? Thanks in advance and if you have time I would be really happy if you could make a video on this.
    3
  22103. Continuaciooooon
    3
  22104. I just wrote a math exam today . And I always get A's but I feel like I failed math this time . I wonder if it would effect me T_T (sad cat noises)
    3
  22105.  @TheMathSorcerer  Thanks. Right now, I’m doing isomorphisms. My homework only has one automorphism problem and I want to look more into that! I also, discovered through examples that orders of elements in isomorphic groups are preserved! At least some good things are coming out of it!
    3
  22106. “Math people are lonely”, proceeds to *sniff book*… 😂
    3
  22107. It’s 2024 and you’re still helping people! This helps a lot for my geometry quiz, thanks!
    3
  22108. Dear Math Sorcerer, Please help me! I can't stop buying Math books!!! 😅🤣❤️ Seriously! It's so addictive! 😅 Maybe you should do a video on budgeting tips for bibliomaniacs! 😅
    3
  22109. Whoo, Hoo! Topology lectures! Thank you for posting!
    3
  22110. Bro, I look up calculus help on youtube once and now I have all this nerdy math stuff all over my recommended.
    3
  22111. Escribo en español porque me fijé, gracias a los comentarios, que usted lo entiende. Muchas gracias por la excelente calidad de clases que nos proporciona, es usted una persona muy carismática con la que se hace ameno y divertido aprender. Usted no tiene las visitas que merece, pero espero que continúe haciendo este tipo de contenido e inspirando a personas como yo a continuar con nuestro estudio de matemáticas. ¡Saludos!
    3
  22112. I like the horse
    3
  22113. thanks bro , great explanation ...
    3
  22114. Hey man, did you guess I was giving up after I failed the college test? I spent two days without studying math and missed it so I came back. Sometimes multi-variable functions can be harder than it seems ... sometimes it's kind of frustrating
    3
  22115. Hard?
    3
  22116. I liked without checking
    3
  22117.  @TheMathSorcerer  Super !!
    3
  22118. Thanks so much!!
    3
  22119. Respect from Bangladesh. ❤️
    3
  22120. have you read calculus an intuitive and physical approach by kline or real analysis a long form mathematics textbook by cummings?
    3
  22121. 😂🤔🤣🤔😂
    3
  22122. Stay in your lane, mathmo.
    3
  22123. This is one of the most authentic videos I’ve seen on YouTube in a long time. Definitely subscribing after this 👍🏾.
    3
  22124. Pens are a HORRIBLE idea if you are a mechanical/ structural engineer. You need to learn how to sketch real proportions and perspective. I will FIRE any engineer that wants to design machine parts but can't draw a simple cube or sketch an approximate circle without a compass.
    3
  22125. please make this a series, it'll come in very useful for anyone doing a-level further maths
    3
  22126. can I know your name?😅
    3
  22127. The way I learn English ☺
    3
  22128. Plz make a video on...How to read maths actually.. And how do we come to know that we are reading it actually..Not cramming ??
    3
  22129. This guy has unlocked The hidden level math sorcerer
    3
  22130. DAY 3RD OF ASKING ,So what is the main difference left Between [Everything you need to ace pre algebra and algebra ] and [Everything you need to ace MATH IN one big fat note book] if both teach you from basic level
    3
  22131. What your opinion on hard math exam or interview questions. Is it still relevant to measure someone understanding of mathematics?
    3
  22132. Half Life 3 confirmed.
    3
  22133. quick and concise, thanks
    3
  22134. 💆‍♀️ Great collection 💆‍♀️
    3
  22135. Use ti-89 exclusively for civil engineering undergraduate. It saved by neck many times and I've come to respect its capability. Solved 8x8 matrices, if not even higher dimensions. Solved tough derivatives and integrals. Plotted interesting graphs. As well as many other highly niche tasks that you will only see in a STEM discipline. Using ti-36x to study for my civil pe exam as ti-89 is banned for being too powerful. Go figure! Ti-89 was the "Excalibur" round for my "m777" artillery (higher education). It was reliable and cut the drudgery of heavy maths & physics each and every time. But it could eat through batteries quickly if pushed to calculate difficult math.
    3
  22136. You did a great job！
    3
  22137. Great one
    3
  22138. In german schools such circles are used tov nclude the zero. So the graph confused me a little bit.It's still a little great video. (Here we use brackets within the graph.)
    3
  22139. Yes! They are real numbers, so they are constant. Don't forget the chain rule.
    3
  22140. thank you!!
    3
  22141. thank you!
    3
  22142. Honestly this one question seems pretty simple yet it’s clever.
    3
  22143. If I just known about you sooner ..
    3
  22144. Do you have a tiktok? I feel like that lawn mower quote and the student's reaction would blow up lol
    3
  22145. I'm going to self-study this topic after few months , I needed a book to start with alongside with video lectures (I think of going through Professor Leonard's lectures 🙂😆) and I'm confused about what book to read from .. people recommend (Ordinary Differential Equations by Tenebaum & Pollard) and (Elementary Differential Equations by William Boyce) and the book you mentioned by Zill , which one of them do you think will be a good spot to start with ? I'm a little confused about it ☹️
    3
  22146. As an environmental engineering student, I ask you to stop erasing the board with your hand, decades of that could lead to something.
    3
  22147. The market is a 180 iq behemoth that the layman will never one up
    3
  22148. There are two editions to this book: 1st - 1986, and 2nd - 1992. The 2nd edition also has a reprint by a different publisher. The 1st edition is discussed above.
    3
  22149. Algebra for sure, since that is how calculus is manipulated. I can remember that we were doing some group problems and, naturally my group got stuck on a problem. After three of us hammered on one step for 10 minutes or so something clicked. We had a stupid polynomial in the numerator that we needed to factor to then continue, and it was not a complicated numerator at all. Probably 8th or 9th grade intro algebra would have had a problem like it. So, even if you are good at maths, before taking calculus, go buy a teaching book for algebra and review it in the few weeks before your first class. I found that anytime I got hung up on a calc problem (calc 1) that it always boiled down to over complicating things in my head and forgetting sometimes the simplest of algebra rules.
    3
  22150. That bit with the Lagrange multipliers is the exact same way my textbook explained it, no joke
    3
  22151. “Fraction turns into subtraction” wow I’m surprised that I never heard that before. A good way to remember.
    3
  22152. This is hilarious. It's totally my life on a daily basis lol.
    3
  22153. My now ex boyfriend sent me this video in like august, as he knew i would be taking calc 2 and calc 3 this year. I had no idea what any of the multiple integrals meant, or a gradient vector. I'm done with calc 3 now, and I am so proud that I understand what you're writing on the board!
    3
  22154. Hey TMS, I'm going through this rough time in statistics and mechanics and I just can't seem to understand them as much as pure every time I do questions on them it is a struggle Any advice would be highly appreciated
    3
  22155. Is the horse head decoration optional, or will I fail if I don’t have one? :P
    3
  22156. What's the point of the unit vector? Is it to denote direction and how does that help if the vector is heading in that direction already?
    3
  22157. Mind your build and build your mind!
    3
  22158. You don't know...how much you helped me Thanks a lott for this...
    3
  22159. Thanks boss!
    3
  22160. Just watching this makes me frustrated
    3
  22161. This might sound strange, but how about philosophy? According to GRE scores by major, it often beats math and engineering. How could this be? Well, the inventor of the scientific method, Francis Bacon, was a philosopher. I also had a professor who majored in systems engineering. I guess that wasn't good enough, so he did his Phd in philosophy (theoretical neuroscience).
    3
  22162. Your statement about you losing the 4.0 GPA reminded of my friend who studied physics. He lost his A average because a course in Imaginary Numbers. It is amazing that one course, because so much emphasis is placed on our GPA, that one course can be seared into our mind.
    3
  22163. Gracias profe me salvaste
    3
  22164. Thank you sir
    3
  22165. which book of Elements of Real Analysis do you recommend?
    3
  22166. thanks for the video :D
    3
  22167. thanks alot dude. your lessons are very easy to understand. i might just get a good result for this assignment. lol
    3
  22168. I got this book in a paperback edition! Btw what are your thoughts on Herstein's book titled Abstract Algebra? (Not his harder book Topics in Algebra)
    3
  22169. LOVE YOUR ROOM SIR ITS LOOKS VERY SILENT AND COMFORTABLE
    3
  22170. i think i am in love with you
    3
  22171. Amazing
    3
  22172. Please introduce more junior and high school math books please
    3
  22173. I just assumed this, to prove complex continuous function on compact is bounded, then I log on youtube and this video pops...nice
    3
  22174. Thank you again, never seen things like you explained. It's really impressive how simple advices could help a lot. I'm gonna try implement this in my math.
    3
  22175. Amazing I'll watch it al for sure.
    3
  22176. Thanks for the suggestions, I've read some part of Anton's book and it's really good but now I'm in a proof based course and I'll start with last one you suggested, I hope it will help me grasp the abstract part of Linear Algebra, thanks again 👍.
    3
  22177. Niceee..
    3
  22178. Thanks mate
    3
  22179. Subscribed! Thank You Very Much Sir...!!
    3
  22180. I finished geometry and passed the math portion of the California brokers exam for real estate. That sums up my and most people's need for mathematics. Better teachers in high school would have been helpful.
    3
  22181. You can become an expert at not blinking
    3
  22182. Thank you very much. This was extremely helpful!
    3
  22183. 👍Thank It was very helpful ☺️
    3
  22184. Perfect.
    3
  22185. Very inspirational video, thanks. I’m in late life. I won’t give my age because you wouldn’t believe it! I’m studying Spanish and rather struggling, but there is no way I’ll give up. The older student has the advantage of life experience, and it could be claimed that while it’s harder to get information into an old head, once there it tends to stay put better than in the young head. Thanks for reading my thoughts.😅
    3
  22186. Thank you very much...
    3
  22187. Yeah it's very fun to talk about maths and we used to talk with my friends about maths in school
    3
  22188.  @TheMathSorcerer ....thank you sir, Please make contents that how to crack GRE for PhD and post doctoral fellowship in mathematics into the countries like UK or USA or Germany.. special how students from South East Asia (e.g. INDIA) can crack it?
    3
  22189. Enjoying these combo book review and problem solving vids.
    3
  22190. The book stand had me do a facepalm. I am so getting a music/book stand now. I like to sit and read to study, but I got a 24"x36" easel white board with the flipchart clip for working problems on. Something about being on my feet and pacing. As a bonus, the clip allows me attach a gaming battlemat with the grids on it(graphing on antique parchment look is kino). Oh lamented paper with grease pencil is nice too- wax works well but needs some elbow grease to remove.
    3
  22191. Probably the only channel where I hit the Like button before watching the video.
    3
  22192. I'm second! From India
    3
  22193. Hello Sir Sir i would like to suggest one more book about which my professor told me and i personally liked, its "Introduction to lattices and order by B. A. Davey, H. A. Priestley" and one more book i would like to suggest is "Discrete Mathematics With Graph Theory by Edgar G Goodaire, Michael M. Parmenter"
    3
  22194. The best maths channel ❤️
    3
  22195. The lay-out and information density looks excellent for absolute beginner learning maths. Good book and thank you for demonstrating it.
    3
  22196. You're right! And your advices are awesome! Thank you so much. Pomodoro is also a good tool to study and to not burnt out. On the other hand, I just wanted to mention two books: Kuratowski, Introduction to Calculus, for mathematicians; Piskunov, differential and integral calculus, for engineers.
    3
  22197. Check out this other video of his: https://www.youtube.com/watch?v=pTnEG_WGd2Q&t=10s He suggests an order to go in, and recommends specific books for self-study.
    3
  22198. He has a video on remembering math formulas: https://www.youtube.com/watch?v=lrcIdmITMG8 Using mnemonics can help you remember formulas. Or remembering how to derive the formula from other formulas that you know. For example, I know that if I take the derivative with respect to the radius for the volume of a sphere, I get the formula for the surface area.
    3
  22199. this guy just did 1h 30 minutes lecture in 1 minute 30 seconds... no every hero wear cape <3
    3
  22200. I wish I can have that book. I like old math book but they are bit confusing to read!
    3
  22201. Search it on archive.org
    3
  22202. I remember when we covered notion of "dense" in first year analysis, the joke "everywhere dense, nowhere rational" seem to inevitably come out. It is a very useful math insult.
    3
  22203. I love math
    3
  22204. I went from James stewart calculus to top apostle mathematics analysis in my junior college
    3
  22205. here cuz my school shut down .-.
    3
  22206. The longest journey starts with one step.
    3
  22207. Great videos! I've been watching your proof based videos for a while now and decided to check out the diff eq stuff. I teach at a 2-year community college and will finally get the opportunity to teach this course. I tend to emulate 'pieces' from my favorite math professors and you sir are one of them even though I never had the opportunity to take your class. Keep up the good work!
    3
  22208. Dislikes are from people who think they’ve already mastered all these topics.
    3
  22209. I should also include that I’m 13, should I be watching this?
    3
  22210. Thank you
    3
  22211. Very good book 👍
    3
  22212. 8 gradschools out of 17!! That’s super impressive to me, I really wanna do math and become a professor and I ended up in community college and couldn’t do research in my freshman and sophomore years because of it, and this helped ease my fears about it a lot
    3
  22213. Was expecting advice for Math. Found advice for life.
    3
  22214. After the index are answers to selected exercises
    3
  22215. Being an Adjunct is a horror show. I know younger people who are stuck in this role. The pay is so low, no matter how much you love teaching, and the job security is nil. Note that getting a PhD and sticking with academia, you’d better be the best student they ever had. If so, you might replace them. If not, good luck in the broader world, because there is no exponential explosion in job opportunities there, like there might have been so many years ago. This is a world now where you have to make your own place in it.
    3
  22216. 👍🏼👍🏼
    3
  22217. the highest mark on the midterm was 54 so excellent work, thats too accurate
    3
  22218. "This is your life have some self discipline". Nice :)
    3
  22219. My prof had us take cal I and II in the same semester. 70 percent of the class failed
    3
  22220. I’ve watched all the videos from the Complex Analysis playlist as I’ll be taking a Complex Analysis course this year. Thanks for all the videos!! I’ve enjoyed watching them!
    3
  22221. I think (a guess) that there is a copyright problem which does not allow the translation of Baldor's books to english. Baldor himself was a math professor in the US and he didn't try to introduce versions of his books in english. There are three books accredited to Baldor: Aritmetica, Algebra and Geometry. However he is not the author of the book on geometry, the real author was his brother. Baldor books are elementary. In fact, they just cover the math for the three lower years of high school. Some people (most of them educators) are critics of Baldor's books. However i think those books are the best👍
    3
  22222. legit
    3
  22223. lovely stuff
    3
  22224. The Math Sorcerer is Geek Master Flash!
    3
  22225. lol i was so immersed and in it, then the video ended so abruptly XD
    3
  22226. I agree wholeheartedly though, I think people underestimate just how much of maths really boils down to just memorising certain things, and conversely underestimate how much memorising stuff can make a real difference.
    3
  22227. I laughed at your last comment. But any ways thanks.
    3
  22228. thank you so much!
    3
  22229. I recommend the book "Calculus with Analytical Geometry by Thurman Peterson" it is a very good book with complete topics
    3
  22230. Go to Open Library for viewing pages of books. I have bought books after online reading at Open Library where you can digitally borrow books. Digital borrowing is free and membership is free too.
    3
  22231. Hay 5 niveles. El 5 es el más divertido
    3
  22232. blink blink :) Naver gonna happen!!!!
    3
  22233. In real analysis: when all the pieces fell into place and I completely understood the proof for the product rule for two convergent sequences. I had struggled with this for awhile and it felt great to finally get it.
    3
  22234. the famous sicp it has a new version in javascript i will take some time to read it
    3
  22235. In Bulgaria math is compulsory for everyone in high school but that doesn't mean that all of us are good at it. In 11th and 12th grade we learn some calculus basics like limits and differentiation, some statistics and analitical geometry. They are part of the curriculum as an introduction to the university math but many students that will major in the humanitarian fields don't actually need them. Therefore in most of the high schools math is not learned with enthusiasm. Usually most students start to dislike math in middle school and the lack of understanding of math is snowballing all the way to the end of high school.
    3
  22236. Thank you. Really helped.
    3
  22237. Awesome advice!
    3
  22238. Awesome message, thank you for this. I'm starting Part III at Cambridge in a week's time.
    3
  22239. Let’s fucking goooooo!!!! 🧙 🧮
    3
  22240. Not even undergrad. I came to the US when I was 8 from the Philippines. In 2nd-3rd grade in the Philippines, we were already doing real world math problems, whereas, in the US, they were just starting the basic math operations, which made it SUPER easy for me to be a top student here.
    3
  22241. Nice way of deriving the "standard" roots formula. 🙂 ax² + bx +c = 0 ... => (2ax + b)² = b²-4ac ... => x = (-b±√(b²-4ac))/2a Sweet!
    3
  22242. Actualizar tus libros. Ahora hay la 8 edicion , este libro es muy bueno
    3
  22243. ez
    3
  22244. thanks
    3
  22245. I was also watching this video at 5am XD
    3
  22246. Dynamics, thermal dynamics, mechanical engineering modeling methods, and solid mechanics.
    3
  22247. The trick to becoming great in mathematics is discipline. People should not try to jump ahead without first making certain to possess the prerequisites. Prior to even enrolling in the mathematics program, I studied College Algebra, Plane Geometry, Analytical Geometry, and Trigonometry on my own. When I took the SAT, I scored very high on the mathematics portion of the test. I was then enrolled, and I immediately tested out of College Algebra/Trigonometry. Finally, I took all of the Calculus Courses all the way through to the advanced levels, which also included courses such as Linear Algebra, and Differential Equations. I was an erudite student because I prepared myself. I can't stress preparation enough. If a person barely passes algebra with a D or C grade, then he/she is not ready to sign up for a course in Calculus. That's just common sense, and I think it is unfair for people who do not have the background to visit a professor who is discussing Calculus and try to evaluate that person. The first semester in Calculus really just demands good algebra skills. The second semester is going to require one to really know those trigonometric identities because if he/she does not, they're not going to understand what's going on. I see it a lot. People who try to jump ahead and go into the more advanced courses without having a strong foundation. Finally, Multivariate Calculus requires all of the previous prerequisites and also a very good foundation in Analytical Geometry too. If that person doesn't have those under his or her belt, then that is just a recipe for disaster.
    3
  22248. I like these daily problems...keep em coming!
    3
  22249. How about pre algebra ?
    3
  22250. Hi Garrett, Yeah, I retired and decided to take up a second career as a Math Teacher. I had been in a Technical Job where I learned Electronics related Math and so I knew I like Math but I had forgotten most of what I learned back in High School and had never taken Calculus. I went to the local University and got a bunch of Math Textbooks. I started going through a Algebra and Trigonometry Book but didn't understand the explanations. Thank God I had gotten a Developmental Mathematics Book because it had a chapter in Geometry, but it proved to be exactly what I needed to get me into the Big Book. It turns out that the Developmental Math book was what the University used for its M085 Course, a Remedial Math Course (any course number below 101 doesn't really count but if you don't pass the Math Screening Test at your College then you need to do a M085 Course or something like that. I just checked with Abebooks and they have plenty of titles "Developmental Math" by various authors, but the one I had, which I loved, published by Cengage Learning, a publishing house I really respect, well, you can get it used cheap. It is searchable as Developmental Mathematics Johnston, C. L. Published by Brooks/Cole (1994) ISBN 10: 0534945007 ISBN 13: 9780534945008 If you go to Abebooks you can search just by using the ISBN number but they don't tell you what format they mean. The mean just use the ISBN 13: number but JUST the number and leave out the ISBN 13: part. For instance, to search up the book I mentioned, just put in " 9780534945008 " without the quote marks. They had copies for less than $7.
    3
  22251. U saved my life thanks soooo much
    3
  22252. Great concept....thankssss man.......😊
    3
  22253. College is not for me, unless I can overcome Writer's Block and brush up my academic writing skills; unless I have some money saved for few years of survival ahead; unless I really need degrees for jobs.
    3
  22254. thank you
    3
  22255. 🙏🏻🙏🏻
    3
  22256. KEEP GOING, AND NEVER GIVE UP!! 💪💪💪💪😤😤😤
    3
  22257. This is a great way to refamiliarize myself with this content, thank you
    3
  22258. if we were giving initial values, would we be able to solve c1 and or c2?
    3
  22259. Excellent brother! So kind. This is my first time viewing your channel. Approach math like a musical instrument! 🧠
    3
  22260. For all programmers: start with Python. It' s easy and you don't need any ; Console.WriteLine or that kind of things. Start with easy. Then proceed to something more challenging, if you need to. For the people who are interested in data science I recommend R. Just my opinion. But worth to try. Some statistical education is needed anyway.
    3
  22261. Anything is better than nothing. 😍
    3
  22262. Did you change your office and had to reduce your volume of books?
    3
  22263. Today i didn't procrastinate for the first time in like two weeks, great success
    3
  22264. In Russian the name of the publishing house is pronounced a bit differently, it sounds similar to the word “mere” in US English.
    3
  22265. Good morning sir jii
    3
  22266. i was doing my math homework and this helped me so much Thank you🥰
    3
  22267. How can I connect with U?
    3
  22268. I soooo much agree with everything! You have TIME just pace yourself as per your abilities/interests.
    3
  22269.  @TheMathSorcerer  The Father of Open Source movement !
    3
  22270. also be realistic, humble and forgiving when chasing your goals. We live in a century where science is praised and that everyone should be good at one field of it but that doesn't make it any easier. Doing advanced mathematics, engineering, physics, coding, chemistry you name it is first and foremost hard. Sometimes it can be like trying to be a bodybuilder competitor hard and many many things can go wrong in your path to achieve mastery at even one field of science. So be forgiving at your process and know your goals. Lastly a good teacher is well appreciated to help you avoid the basic traps to learn what he/she had to learn the hard way.
    3
  22271. Mathametics is just like 1/0
    3
  22272. Thank you for recommending the Gamelin and Greene text. I bought it and working through it. Awesome text for sure.
    3
  22273. Why is this in my 10th std syllabii dudee!!
    3
  22274. I know this comment is off topic but I wanted to ask you a quick question. I've watched a lot of your calculus 1 lectures and i'm still having some trouble and need more practice. are there a lot of problems that come with your udemy calculus 1 class?
    3
  22275. The Guy looks like Newton
    3
  22276. Super
    3
  22277. Plz do reviews of calculus books by howard/ Anton and essex/adams respectively
    3
  22278. lol this is simple calculus. lets see some problems from Math 55 ;)
    3
  22279. This is very insightful Thankyou 🙏
    3
  22280. All this is going to come in JEE ... just a month to go. Merry Christmas.🙏🙏🙏🙏
    3
  22281. Turning math into a hobby and just going down the Kahn play list starting at algebra. My son is frightened of this behavior.
    3
  22282. Think again. ;-)
    3
  22283. Thank you for sharing this
    3
  22284. I've tried schaums outlines on linear algebra, very informative
    3
  22285. You really gone best work ❤😊
    3
  22286. I read this book
    3
  22287. Bro looks like Issac Newton but in disguise
    3
  22288. thanx bro you did my homeword
    3
  22289. homework
    3
  22290. Thank you and god bless you. Iraqi student 🔥
    3
  22291. it should be amazing like Sonic the Hedhehog
    3
  22292.  @TheMathSorcerer  good lectures btw! ty
    3
  22293. 💀💀💀💀💀💀💀💀💀💀💀💀💀💀
    3
  22294. I need a video like this for all the stem subjects i failed to learn in high school
    3
  22295. As much as i have respect to you as an educator i hate the motivational side; cheating, exam depression, failing ed system, "procrastination" just to name a few, are tough subjects to tackle - there are various perspectives and takes on it - but i'll share mine even unsolicitedly. First and foremost, i don't believe people are destined to do X (insert languages, math etc, apply everywhere). Since some time i struggle with motivation, but am disciplined enough to work my subjects. What's the point of studying since a) college doesn't guarantee a job? b) you get a fancy degree on which HRs don't even look at? c) you can cheat your way through d) standarized tests are bs since those test only memory not comprehension. You don't need a teacher/ guide since all of the information is scattered on the internet. Just to note - i love my degree, i love math but hate how people celebrate insignificant stuff. College =/= education =/= wisdom. Motivation + passion + discipline + luck = success, not a fancy degree.
    3
  22296. I'm 38 and am in the middle of a Masters degree in economics at a good school. I had to study math every day for a year before I started. It's very difficult to juggle with work and family, but it's been a wonderful experience. I highly recommend it.
    3
  22297. If i see it a 2x speed am i going to study twice as fast?
    3
  22298. Did you read all of those? That's amazing!
    3
  22299. Hi Wizard, Hi Everybody, well, I got back into Math at 61 years old. I was partially crippled with Osteoarthritis of the Hips for about 4 years which gave me that time for home study. And, NO, I still don't know what the Wizard sees in Discrete Math of Proof Based BS. It just seems so much like BS. but what everybody needs, at least while calculations are important is Algebra, Algebra and more Algebra. Trig is also one of those things that keep coming up. Yeah, I bought a book on Geometry and there one has to play the game of citing axioms to justify decisions, fine. But I don't see the point in taking people down that Advance Math Rabbit Hole when they still need to get through College Algebra, Trig and then through Calculus I and Calculus II. Oh, I really had no formal math since I had been in high school, though I made myself understand a lot of Math in order to do Programming to automate my own Work Stations when I was doing Test and Measurement Calibrations. So, I found that I needed to do a Developmental Math Book, such as what the local University used from their Remedial Math Program, a 085 Level Course that didn't count for college credits. But, yeah, that Developmental Math book was able to get me Conversant in Math so I could then go to a College Algebra Book and not get lost.
    3
  22300. It's interesting hearing your experience with the "other class," for I had a similar experience. The class was called intermediate Algebra-Geometry, between geometry and Algebra II, and I learned next to nothing due to the constant disruption. If any parent comes across this comment, my advice would be to check the roster of a class like it to see what kind of environment your kid may be in. It might not be worth their time.
    3
  22301. Look at A. Hodges: Alan Turing, The Enigma. The Imitation Game movie is based on this book.
    3
  22302. Thank you sir. Useful video ☺ 👍.
    3
  22303. Watching your channel has increased the number of books in my collection. -_-
    3
  22304. cool....you just took me 30 years back....
    3
  22305. Thank you sir. For sharing about those books .
    3
  22306. When I wake up in the morning, I watch maths tutorials in bed. Same with math books, reading in bed. That is so me everyday. Bad habit of mine. Last month, I ordered a bed table with short legs, so that I am going to study in bed. I am still awaiting its arrival in the post. Damn postal delay is caused by covid restriction.
    3
  22307. thank u, this helped a lot
    3
  22308. You are the best explainer of the proofs I have ever seen.
    3
  22309. massively helped! thank you :)
    3
  22310. ​ @TheMathSorcerer  i don't buy stocks, I invest in Businesses. WARREN BUFFET. ( sorry, this book and mathematical formula & graph, of no use to me). Investing into Tesla, Cocacola, Apple, Alphabet, Microsoft....etc....are just commonsense.
    3
  22311. In my biased opinion, this book is the best calculus ever written
    3
  22312. My community College uses Aleks. I love it.
    3
  22313.  @TheMathSorcerer  Excellent video. This is one of your best videos.
    3
  22314. Will this help me as a mechanical engineering bachelor student??
    3
  22315. thanks
    3
  22316. can you make a video on physics?
    3
  22317. I loved precalculus. So many “aha” moments.
    3
  22318. WHAT!?!? What the Hell makes that square root of 2? Why internet must you become slow AS he explains
    3
  22319. This is what I need. Thank you very much.
    3
  22320. There were 6 methods that you had to know. It was quite easy. It was enjoyable! PDEQ was more difficult.
    3
  22321. This seems analogous to Mathematical Methods for Physics and Engineering by Riley, Hobson and Bence which seems to be the modern equivalent to this book. Have you ever heard of this book? It is raved about by many physics students.
    3
  22322.  @TheMathSorcerer  Yes, definitely do so. I'm excited to get to it some day. I've seen many different voices on YouTube say it is basically the Bible for physicists and engineers. Andrew Dotson the physics guy mentions it many times. I bet you'd def really enjoy it and I forsee you making a video on it if you ever got your hands on it. It's def one that could make it in your list.
    3
  22323. I literally got an exam for Math starting on the 3rd of November and these exams pretty much will make or break my dreams of becoming a Chemist.
    3
  22324.  @alexbyard9358  Ye I need to man thanks man 🙏🏻
    3
  22325. LIFE SAVER
    3
  22326. And this is why I took your DE class twice. Hope you're doing well man. Almost done with my EE degree at UCF. This guy is the best math teacher out here. Math community owes it to him to share this channel as much as possible. Tell ur friends. Also, throw some surfing videos up and your car repair videos up. People might like.
    3
  22327.  @TheMathSorcerer  Yes sir, doing very well, still with same company and everything. Watching some of your videos with "Bad student" jokes make me lmfao. Hope everything is going well with you as well. I've been pasting links to your videos on other channels for electronics cause sometimes they suck at explaining math. Hope it helps you as much as everyone else. not sure on the schools POV on it but posting some of your lectures would be a god send. if you ever need car help let me know kinda started a side business fixing cars, mainly for fun.
    3
  22328. Bests books for Chemistry....!!!!
    3
  22329. Professor you are my favourite ❤️
    3
  22330. Good explanation
    3
  22331. Bold title!
    3
  22332. Love these videos. I wish they were longer with more commentary about various sections in the books. Nothing deep — just more comments and thoughts and observations and reactions.
    3
  22333. I think I am getting addicted to your short nice vids. I am wondering about the "right" way to read a math book? Any ideas to share? :)
    3
  22334. IMO a good way to get out of a rut is to temporarily pause your current subject of study and "dabble" in a somewhat related or completely unrelated topic, as a way of reinvigorating that sense of intellectual novelty and "fresh air". For those studying mathematics, maybe look into studying mathematical economics, or operations research/industrial engineering, or some other way that advanced math is applied in different situations. Dwelling too hard on a narrow abstract math study can easily cause burnout, make sure to diversify your intellectual pursuits!
    3
  22335. Damn Why didn't I see you videos while I was younger.
    3
  22336. So many variables here: good/bad days, the intersection of preferences with what the test requires (you may enjoy factoring, I don't, etc.), the human brain being so complex and diverse it's impossible for science to adequately comprehend its several functions which gives rise to the fact of varying retention rates. A quote from Dune gets to my point: "For the others, we can say that Muad'Dib learned rapidly, because his first training was in how to learn." Figuring out what causes both memory and retention on a personal level is way more important than I have ever heard anyone in school explaining to any degree. Schools seem to do well on helping us with memorization, but not at all with retention, say 5-10 years after school. Brushing this off as "the student's responsibility" is both obvious and insufficient given today's major educational decline in nearly every field. So, find out what makes you both remember and retain (not always the same thing given longer time periods) and you still may not be smart, I know I'm not, but you should see some type of improvement. Since everyone's rates of both learning, hearing, remembering, and retaining are very different, making comparisons will yield less fruit than targeting your own weaknesses and acknowledging & shoring up your strengths.
    3
  22337. On of m'y Dreams IS to visit your Big library and to meat you because of your Big knowledge in maths
    3
  22338. I have to smell that - that's pure pleasure
    3
  22339. I cannot wait until my Discrete math book arrives!!! I ordered it two days ago.
    3
  22340. Thanks
    3
  22341. hello, may I know what are the equipments,setup, applia cations when you are making this video? what is the software you used, etc....anyways, your video is great, pls keep uploading because you helped me a lot <3
    3
  22342. I an not very sure!
    3
  22343. Best real analysis book for beginners
    3
  22344.  @TheMathSorcerer  👍👍👍
    3
  22345. Maths been my fav subject... it's so simple ❤️
    3
  22346.  @TheMathSorcerer  Thank you so much for your quick response! I really appreciate your channel! :)
    3
  22347. Audio is only in the left channel for the interview
    3
  22348. This is what textbooks used to be before the textbook industry got going. Today, it would contain 5 times the paper and half the content. The problems will be in a separate large format book. The solutions in the third. Or better yet, a monthly online subscription. Main book costs 300$, 600$ for the set.
    3
  22349. The fact is that a high quality teaching as always been around unfortunately the high quality books will invariably tends to get buried in the wash of newer material it’s not always in the interest of publishes to promote all the books given they make a lot more money from printing new ones
    3
  22350. Nice and simple, thanks!
    3
  22351. 1st view sir .......
    3
  22352. You should live-stream your study sessions, you can easily farm 200k ~ 500k subs.
    3
  22353. Show us the forbidden math, Sorcerer. 🧙‍♂
    3
  22354. I love this format!!! Keep it up!
    3
  22355. That's an excellent book IMO.
    3
  22356. Nice video :)
    3
  22357. don't do math, feel it
    3
  22358. It is so funny and ironic to me that these principles are what is used in therapy. The foundations to life. Forgotten. Comes together like oil and water in our current society. An economy focused on the most insane (I like to say "cocaine fueled") short-term economic gain, at the cost of civilization, and individual well-being. We do not have a society that is kind or even respectful of the individual. I think it's okay and maybe important to make that distinction. So that people listening might understand WHY, why we might feel this way in the first place? BTW I love what you're doing here.
    3
  22359. I've covered fields, rings and modules. I feel pretty good after finding the basic book book on algebra to be considered basic
    3
  22360. Good evening! what part of mathematics is needed for electricity, electrical engineering?
    3
  22361. My bachelor's is in law and I don't understand math much. But still, I read math textbooks just for fun. Usually I don't even solve anything. In fact, sometimes I understand only about 10% or less of the information in the chapter, so the thought of trying to solve the problems doesn't even come to me... But at the same time, I really enjoy the beauty of math. In fact, that is why I read it without understanding much. I guess I'm weird like that, lol.
    3
  22362. gauss is one of my role models. to bad he's dead for over 150 years....but what he did was amazing.
    3
  22363. How old are you sir ?
    3
  22364. Thank you for this video, it will definitely help. I want to became an entrepreneur I have some ideas, I am working on them and trying to learn a lot of stuff. I decided to study at least two hours a day for the entire 2022-new year. I just want to ask that where can I reach the math books. I am really a book lover and someone authentic I can say but in Turkey(where I live), English books are so expensive because of the exchange rate. My major is economics %100 English and textbooks are in English as well but a lot of people use PDF versions. When I read them on my laptop, I get so distracted and bored. I love reading real books full focused. What do you suggest? Do not I have another option except from reading on the screen?
    3
  22365. I wish I had the time to do what you are doing. I have 2 volumes of my old university level maths, structural mechanics & dynamics books in my shelf. The only time I went through half of them was when I was laid up in bed after surgery. I really really enjoyed maths. When I am looking at maths I feel like another person is talking to me. Weird huh!
    3
  22366. Super explanation
    3
  22367. It wasn’t uncommon in the past the computer science dept to be part of the Math faculty. So the PHD’s would be in math.
    3
  22368. played life
    3
  22369. The cool thing about technical analysis is that enough people believe that it works that they set up their trades around TA signals, and that is what makes it work. Other than that, it's utter bunk.
    3
  22370. It may not seem obvious when you are taking calculus, but other than basic derivation and integration, Taylor's Theorem and series may be the most important topics for future math courses, especially in applied math and statistics.
    3
  22371. Thompson's calculus book has tested time.. so as your youtube channel math sorcerer 👍
    3
  22372. Seems to me one of the best slogans is, "Jack of all trades, and master of some." The problem is that it takes a heck of a lot more to be considered a "master". The point is that you can be at least basically competent in a number of things, without necessarily having to devote all your life and energy to it.
    3
  22373. Hey man just want to thank you for helping me get through my summer diffeq class with flying colors. You were pretty much the best resource on the internet that has the concise information on how to do the steps for solving problems. I wish I could have you for calc 3 because I unfortunately got stuck with a professor who teaches the class completely in proofs with no computation. I'm going to try to pass with a c+ but the if I don't I'll probably be seeing you in 2020. Keep it up man your saving lives
    3
  22374. This guy never blinks...
    3
  22375. I agree, also considering they have to take a mandatory 6-7+ courses per term at most Canadian Universities. (I.e chemistry, biology, physics, math and eng classes and more) 😭
    3
  22376. gracias profe
    3
  22377. Math change your life through 1) pass degree requirement, 2) change the way by which you think — why does this sounds like math can change your life because math can change your life?
    3
  22378. Discrete mathematics..
    3
  22379. Sir I am confused between complex analysis and functional analysis. Which course to take ? . I have done real analysis before this it will be a great help.
    3
  22380. Поистине классика жанра... Где теперь на территории бывшего совка найдешь таких авторов?
    3
  22381. Thank you very much. This is actually the guideline and book I'm looking for!!! I really want to re-actived my applied mathematics skills. There are plenty of books and courses. I like the approach to start with 30min a day guided by a book. Courses and channels Like your helped me to master my class on the university. Especially Prof. Gilbert Strang! Thank a lot for your channel and the motivation I have got due to you!
    3
  22382. "Hey guys, people who study math are very lonely, its true. Anyways check out these math books"
    3
  22383. Great teaching sir. You have cleared my difficulties related to this proof.THANKS ,MAY GOD BLESS YOU.....👍🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏👌👌👌👌👌👌👌👌👌👌👌👌👌👌👌
    3
  22384. who got the ability to process information as given by the explanation of a teacher, one time, and being absolutely certain that you understand AND will remember during the exam? Most people don't, that's it. I'm a bit slow in terms of processing information so unless I can ask to repeat 20x an hour I'll need my notes to reprocess later on.
    3
  22385. Hi from Portugal 🇵🇹🙂 thanks for the explanation!
    3
  22386. I really love this channel
    3
  22387. I like that you put math first before going for a run. Math > Health 🤣
    3
  22388. Hello , i was wondering if i could study calculus 1 and pre-calculus and i don’t understand triangles ratio-sin cos tan-??
    3
  22389. 🧲✴️♥️💥💖⚓🏁...................
    3
  22390. Probably because Spanish words are statistically longer than English words, on average.
    3
  22391. Great video
    3
  22392. This helped me, thank you!
    3
  22393. You need to have an inner peace and be relax
    3
  22394. Nice explanation!
    3
  22395. Jeff bezos with hair
    3
  22396. I thought that the thumbnail was the front cover of the book...
    3
  22397. Wow !! Examples are too good to know what exactly limit is . Ohh my goodness 😊 that I get to know about you professor .
    3
  22398. I really struggled in this class. It assumes you know so much calculus. I went into this class not knowing multi variable functions
    3
  22399. We appreciate your videos. Keep up the good work.
    3
  22400. Im from Colombia, and i believe that some teachers in my country teach maths like something you just have to memorize, i hate that, i love to understand deep concepts in different ways and connect those ideas in physics...
    3
  22401. Can you recommend a good book for commutative algebra?
    3
  22402. It's deep night at 3:34 and an earthquake broke my sleep and I m commenting
    3
  22403.  @TheMathSorcerer  no loss because it was small earthquake from northeast India, Assam
    3
  22404. Thank you so much!!!! you helped me a lot
    3
  22405. I hope someday books become affordable. In my country, academic books cost at least 3 days worth of minimum wage. Books related to my profession costs half a month of minimum wage for ONE book.
    3
  22406. Plane Trigonometry SL Loney
    3
  22407. Galois theory was part of an algebra course at our university. It was a little bit of work but finally it was stunning to work with and prove the lemmas. The books looks nice but i can`t really tell, like where does it stop. Does it deal with solvability problems? It would be nice to have something to clear up some questions without putting to much effort into refreshing all the definitions.
    3
  22408. I am very grateful for your content Sir
    3
  22409. Back when I was in college I just memorized calculus, linear algebra, numerical methods etc. It worked but I didn't enjoy maths. Recently, I needed to learn some more advanced maths for my job and I decided to relearn maths again at my own pace and it's so much better, it's definitely been one of the best decisions in my life.
    3
  22410. Had I been a natural at math. No doubt I’d be a billionaire by now. That is a fact.
    3
  22411. If u don't look out the box u will never learn kathematics
    3
  22412. Have you tried fountain pens? They made me love the physical feeling of writing math much more, which was incredibly motivating.
    3
  22413. How do you know when you fully understand mathematical concepts in order to move on to higher levels of math?
    3
  22414. If you want a really good book that balances perfectly rigour and computational aspects for a first course in linear algebra I really recommend Linear Algebra by Jim Hefferon, it's free but by no means lacks quality. My L. Algebra teacher taught us the course with this book and I think it does the job really well. I didn't use the answer book but it is also available for free so it fits self learners as well. For a second course we used Axler's but even though it is fun and easy to read, I feel like we didn't learn a lot about matrices because of the abstract approach of the book. I'm reviewing a year and a half later my L. Algebra 2 with Hoffman's book, will see how it goes.
    3
  22415. +1 for Jim Jefferson. Completely free with solutions and has some excellent, unique exercises. They're graded and the hard ones tend to be from math journals, math comp, etc
    3
  22416. Estate sales. Every now and then someone dies and leaves behind their math books which their heirs can't wait to sell off.
    3
  22417. Very nice proof! I am a TA for a calc one course and this winter quarter I finished my undergrad Real Analysis Series. Looking at the Calc 1 problems and seeing the light bulb pop up from "oh, yeah rolles theorem is just a special case of the mean value theorem, or if the derivative is positive then its increasing because when you look at the difference quotient it pops out" is so cool! It is insane how much we take for granted in calc one, every singe rule we get has an amazing proof associated with it, although some proofs are a pain in the neck (chain rule).
    3
  22418. You are a good human.
    3
  22419. Thanks for your efforts 😘😘😘🐱🐱🐱
    3
  22420.  @TheMathSorcerer  Respected Sir can you help me in mathematics questions
    3
  22421. ❤️
    3
  22422. YOO THANKYOU FOR EXPLAINING THE DIFFERENCE BETWEEN STRARIFIED AND CLUSTER YOU MADE IT SO SIMPLE MY TEACHER KEPT OVERCOMPLICATING IT.
    3
  22423. I have a question. What is the difference when u put it like this ( ] or when its in parenthesis?
    3
  22424.  @TheMathSorcerer  that will be super awesome. Thank you I am a math tutor and math book collector as well !!!
    3
  22425. I simply open it and do the exercises for fun since I already know the content long time ago from different books.
    3
  22426. Tmc che. Are you A CHEMICAL Engineer? Sound like something. a ChE would do. I used the text for first 3 semesters at MIT 1956 to 1958. Fourth semester was. Differential equations. Followed by Advanced Calculus for Applications and Linear Algebra. CHE class of 1960.
    3
  22427. Yep, there's a decent amount of those kinds of books in my university's library. I've picked them up a few times and thought how grateful I am to have a calculator and graphing software.
    3
  22428. Thank you! Needed to hear this.
    3
  22429. Wrong solution only some constant
    3
  22430. I'm afraid of this guy🙍
    3
  22431. I'm strongly considering buying some of your courses. Question, going into pre-calc, calc 1, 2 and 3. How important is it to understand sinusoidal functions? I have a basic understanding of them however on Khan academy I struggle with a bunch of the word problems.
    3
  22432. YES, explained it 100000 times better than my teacher, thank you!!
    3
  22433. I believe Hollywood presentation of a genius is the trouble here...movies and shows featuring genius minds often show that they didn't put quarter of the effort of their classmates and still they topped and grasped every concept without difficulty...this might be the case for some subjects and upto a level, probably in school, but eventually you cannot stay at the top without making effort... genius minds like Nicolas Tesla studied like a madman even at the expense of their health...you have to work hard on your basics and if you're a genius in Maths then history or language learning might give a very tough time... it's just we are humans and we have to accept our fallibility and flaws...and people need to stop lying to young minds making them believe that they are not smart enough since some subject or level requires more effort from them...
    3
  22434. I lost the staring contest. my balance: joke a side, I needed this)
    3
  22435. That was lifesaver. Thank you very much...
    3
  22436. Deja Vu .. first view again...😄
    3
  22437. Always backtrack your steps with the definitions and theorems and try to reconstruct. And focus on what information you're given
    3
  22438. very useful 10/10
    3
  22439. All these books are expensive as hell, one of the is more than $700 😂
    3
  22440.  @TheMathSorcerer  Thanks
    3
  22441. Love when you have the math done! Thanks
    3
  22442. This is totally beautiful.must get book! Finite numbers!
    3
  22443. How does this compare with the Discrete Math w/ Applications book by Susan E. Epp? I'm still fairly early in the book.
    3
  22444. Sir make a video on geometry books for graduate students👩‍🎓
    3
  22445. Professor, which University do you teach at?
    3
  22446. Lim(1/3^n) = 0???
    3
  22447. Where to find math classes! Anything for self learners?
    3
  22448. Yeaaas its good for my math homework
    3
  22449. Why are the best videos always in english? 🤔😭
    3
  22450. I just found you. I just order the Blitzer book from eBay for 10 dollars used plus shipping. Amazon used starting at 75 bucks. I’m going to spend 30 minutes a day learning. I haven’t done math for a very long time.
    3
  22451. What up dude. Watching some of your videos inspired me to buy cheap math books from dover. Keep up the good work.
    3
  22452. Very good.
    3
  22453. Thanks for this rapid and amazing math's videos
    3
  22454. Oh yeah. Interesting game
    3
  22455. These new logic videos are awesome! I'm studying a transition to advanced mathematics and logic tables are a big part of it right now!
    3
  22456. Alternative title: 'Electrical engineering review manual' review
    3
  22457. You are a god, thank you
    3
  22458. Why u looking into my soul like that
    3
  22459. the math buccaneer
    3
  22460. His website in the description or channel about page has a contact page
    3
  22461. So I've been collecting recommendations and I've got half a dozen intro calc books I'd love to see you review. But to start, maybe try taking a look at Lipman Bers' Calculus. It seems totally forgotten in the English-speaking world, but I was tickled to find that the Spanish translation is still recommended by the University of Buenos Aires. Apparently the first edition was riddled with issues, but I gather they got corrected by the second.
    3
  22462. I go to the tutoring center a couple days a week and most are very helpful. Sometimes they may not have an answer and I tell them no worries and just move on to a different question. I have an older lady that I really enjoy working with but she is only good with basic algebra, there is another guy thats super smart but gets bored if my homework is too basic. I get that and I tell him no worries and he is off to help the calcII student. So not only is it important that the tutor is a good coach, the student must also be coachable. One more thing....A huge thank you to all the great Math tutors! You're the best! Cheers!
    3
  22463. And because it is INFINITESIMAL calculus I'm guessing it's doesn't reflect the work of Cantor, Weierstrass & Dedekind i.e. no delta-epsilon proofs no having to "find the limit" that can make learning of calculus such a chore. Interestingly in 1960 Abraham Robinson developed "nonstandard analysis" which gave proofs for infinitesimals. On the basis of this one of his students published a textbook called "Elementary Calculus: an Infinitesimal Approach" which purports to be a more intuitive approach. The author has made it available online https://www.math.wisc.edu/~keisler/calc.html
    3
  22464. Very good. I have both.
    3
  22465. Just because a language is popular does not make it the best choice for all purposes. There is a problem with people not understanding functional languages in the mainstream IT space.
    3
  22466. dear kind sir you explained it so well and so clear, you helped me tremendously. Your channel is a true gem for undergrad level math (hard to find these days)
    3
  22467. A friend of mine fell asleep during a math finals and started snoring. It was a small class so everyone in the room could hear him, except the professor, of course. I asked him about it afterwards and he said that since it was a 3 hr long exam and he was stuck on the last question with an hour to spare, he decided to take a quick nap to clear his mind!
    3
  22468. This is not a Basic Mathematics 🙂
    3
  22469. Nice vid, but you forget physical exercise
    3
  22470. No mention of the type of erasers and type of light source? I use Staedtler erasers and a dimmable desk lamp.
    3
  22471. Thanks😊
    3
  22472. What is the difference between this and multivariable calculus? I am just starting multivariable, and it starts with vectors.
    3
  22473. Oh my gods you just made it so I could graduate! Thank you so much!!!😊
    3
  22474. Linear algebra for a 15 year old is crazy
    3
  22475. What's pre-requisite for mathematical proofs?
    3
  22476.  @TheMathSorcerer  i am just doing maths for machine learning (machibe learning mastery guide) and i was hoping that doing math proofs will improve understanding of linear algebra equations and math functions.
    3
  22477. There is also a choice to go to the field of Epidemiology there is maths there.
    3
  22478. A plethora of knowledge this evening from the wizard.
    3
  22479. @MathSorcerer Do you think Elon Musk know the difference between Geometry and Topology?
    3
  22480. my favourite was the lipshits condition by semore lipshits. an actual math book.
    3
  22481. Thank you sir . I was very confused. Means if I know the x y and z..then I can calculate speed.
    3
  22482. "I was in the panhandle of Texas, there were no physicists around". 🤣🤣🤣🤣🤣
    3
  22483. Start with something fun & visual like Tessellations (or Tilings), straightedge & compass constructions, spirals, Platonic Solids, Flower of Life, and other Sacred Geometry stuff. Then dive into Number Theory (Primes, Algebraic Numbers, Transcendentals, etc.) and Georg Cantor's infinite sets.
    3
  22484. I have a question, why is |a|³√a = a³√a ? If 'a' is negative how can this be true? My math book says it's true.
    3
  22485. Neat. Note that once you have the identities for cos(x + y) and sin(x + y), you do not actually need to go back to the exponential function again because you can just replace y by −y, and then use the oddness of the sine function and the evenness of the cosine function as you did there. Another neat derivation for these that I learned from my professor in Linear Algebra and can remember better because I can do it in my head, is to use 2D rotation matrices R(φ) = [(cos(φ), −sin(φ)), (sin(φ), cos(φ))]. Their matrix multiplication is additive with respect to the parameter φ, and commutative, which is obvious if you consider how rotations work: R(x + y) = R(y) R(x) = R(x) R(y). Then you can identify the corresponding components. For example, R₁₁(x + y) = cos(x + y) = R₁₁(x) R₁₁(y) + R₁₂(x) R₂₁(y) = cos(x) cos(y) − sin(x) sin(y). These two approaches combined show that multiplication of a vector by exp(𝚤 φ) is equivalent to a counter-clockwise rotation of it by φ around the axis perpendicular to the plane in which φ is measured, which helps to describe rotations in classical and quantum mechanics.
    3
  22486. Took only 1 minute longer than my teacher to explain, and made infinitely more sense, thank you!
    3
  22487. Nice work. Very clear. .. One can "raise suspicions" by noting that for a > 0, it would seem that elements a have not one but two identity elements b, ie both +1 and 1 .. Likewise pre-supposing that the identity might have to be +1, welllll .. it would seem every element a # 0 has two inverses, b = + 1/a. Things shouldn't have two different inverses.
    3
  22488. I studied Serge Lang in 1976. Elegant and beautiful book.
    3
  22489. Please make a video on differential equation
    3
  22490. I really like your math videos I have watched most of your videos, and I found them extremely useful:) Sir can u please suggest me some books on mathematical analysis? I'm a Physics undergrad ,at Calcutta University(India). Analysis is not a course usually taught at my university. I have bought myself an apostol book but I found it very dry and too abstract most of the theorem were left for the reader to solve as exercise.i have learnt calculus (one and multivariable) though. Your valuable suggestions is all I need at this point of time. :). Thank u
    3
  22491. good advise for any field of study
    3
  22492. Super cool!
    3
  22493. He does use the constant of integration somewhere near areas check that out 5:27 see that left side page down side you will find it also 6:05
    3
  22494. I remember one quote like this: "More important are things you won't do"
    3
  22495. I absolutely ADORE complex numbers and complex analysis about which I have loads of books in my private mathematics library!! 🙂🙂 Thanks much, as always, for producing and posting, MS!!! ❤
    3
  22496. Sir I request you to make a video solving the toughest iit jee math questions
    3
  22497. By this saying, when it comes to motivation people kinda get triggered and say some things but at the end of the day it's just Copium. The logic of the reality we live should be accepted or you might face consequences.
    3
  22498. I'm taking undergrad real analysis, we are using Kenneth Ross 2nd Edition Elementary Analysis. Should I use the real analysis book to supplement my learning?
    3
  22499. Really good!!
    3
  22500. What about y axis?
    3
  22501. The World Salutes You 🏆
    3
  22502. Yes Job salary is 0 dollar though
    3
  22503. I think calc 2 is the easiest. Calc one was mid range along with calc 3
    3
  22504. I'm deepak da
    3
  22505. hi deepak
    3
  22506. thank you!!
    3
  22507. Agree.
    3
  22508. I was waiting for a 3blue1brown style revelation or something. Anyway, nicely done :)
    3
  22509. My greatest math accomplishments are a couple proofs for physics instrumentation and a complete description of a class-E RF amplifier in Laplace space.
    3
  22510. What a great video ! I now thoroughly understand AP . Thanks you sir .
    3
  22511. This is marvelous!!! The key ingredient here is 'EXPOSURE'
    3
  22512. You. Are a good teacher!
    3
  22513. nice watch
    3
  22514. Do a Ted Kaczinsky - he was math prodigy.
    3
  22515. The thing is when you're doing math time flies. Half an hour can feel like five minutes.
    3
  22516. The Math Crusader
    3
  22517. You got this!
    3
  22518. I can't train (or think) because of Long Covid - ME/CFS 😢
    3
  22519. I don't think you can say 'I understand the material' in perpetuity. You can't predict what a teacher will do in the future and eventually will attend a class where you can't understand everything as it's said.
    3
  22520. Thanks for the books recommendation! Been wanting to know what Books to read to become Algebra Master ❤️❤️
    3
  22521. https://www.youtube.com/watch?v=OH9MWSuhX5Y hahaa! :D
    3
  22522. The tree on your left is cool(looks like tan graph), love your videos 🙂 but I am inactive due to exams this week is free, thank you.
    3
  22523. I love your videos nice teacher!
    3
  22524. Hello sir. I just love ur videos. Can u tell me from which country are u?( Just asking for curiosity) :)
    3
  22525.  @TheMathSorcerer  oh.. :) I didn't expect that u will answer. You read all the comments. It shows that u really care for ur viewers.
    3
  22526. I'm also looking for this 😂
    3
  22527. Ted Warren's book 📖 is worth a read!
    3
  22528. edward gaming Yeah I hate that. I’m trying to dive into a book on Bessel functions right now but I think I have to go back and review sequences and series from calc 2 first, so I can learn the Frobenius method.
    3
  22529. edward gaming I’m sure you can. It just takes time.
    3
  22530. edward gaming You too!
    3
  22531. 幸せのお面屋 That’s a great idea. I should do that more.
    3
  22532. Do you have a course on number theory???
    3
  22533. But really, what is talent? Mozart had over 10,000 hours of piano practice at age 9 (you can check the data in google). And there are many examples like this, maybe Tao is a similar case. It seems talented people are those who have worked hard from early.
    3
  22534. Cool! Thank you for such videos!
    3
  22535. I really love the sight of the books behind you. I wanna know the author of the APPLIED FINITE MATHEMATICS book behind you. Thanks.
    3
  22536. what shampoo do you use 🤔
    3
  22537. Oh, about reason 3, that people will think you are smart. Well, I haven't gotten that about MATH yet, but when I was still working for a living before I got into Math, I would put my spare time into learning foreign languages, BUT although I enjoyed trying, I was terrible at it. What I would do was get all the dictionaries, first the language to language dictionaries but the dictionaries also for the languages I was studying. I was trying to focus on French and so I got French to Everything Else Dictionaries. I was juggling French, German, and Spanish at the same time. My method was to get the same book in all four languages (I'm a native English Speaker) and I would go through them at the same time, and each translator would use different colloquialisms (the most conscientious translators are the Germans), and I would create slews of 3 by 5 flash cards for words and phrases, and you would never see me walking around without me flipping through cards. Sounds great, huh? But really all that studying really just bounced off brain. I was a HORRIBLE linguist! BUT just because I was doing it, well, trying it, everybody thought I was smart. Anyway, if you want people to think you're smart, screw Math.... tell them you're studying six languages and they'll think you're a genius.... just hope they don't ask you to say anything.
    3
  22538. If you study by your self , can you read a math book without class notes ?
    3
  22539. Very good video
    3
  22540. Omg. My dad told me how he got this and went through the whole book when growing up in Mexico.
    3
  22541. I love his passion! It's so inspirational!
    3
  22542. Entendible, muchas gracias
    3
  22543. Great choice indeed
    3
  22544. I bet that Mir Publishers has a number of texts on Applied Mathematics, Engineering, etc. in Hungarian. I used "Mathematical Methods in the Physical Sciences" (2nd Edition) by Mary L. Boas back in the day as a Physics Undergrad; second & third years students are the target audience. Used 3rd Editions are inexpensive.
    3
  22545. That yellow book is Introduction to Programming Languages by Dr. Wesley Peterson. I have a copy of this book signed by Dr. Peterson. Dr. Peterson was a professor at the University of Hawaii and he invented (discovered?) the CRC. Dr. Peterson was a great man. https://en.wikipedia.org/wiki/W._Wesley_Peterson
    3
  22546. thought he was talking about life oh wait its just algebra XD
    3
  22547. Nothing beats the greatest brainchild of the human brain—the scientific method, whose solid yet pliable backbone is the fusing of constructive criticism, rigorous skepticism, a vivid imagination, and above all the consuming curiosity of a child. Math is the foundation of the scientific method. 💕☮🌎🌌
    3
  22548. Great vid!what did You study un grad school?
    3
  22549. It is a good way to get started, but certainly lacking in modern tips and tricks. I wish they updated it.
    3
  22550. looks like a little bible
    3
  22551. I think this limit is supposed to teach you how to use taylor polynomials to evaluate a limit. Using taylor polynomials should be easier than using the lopital rule. (It should be easier if the reader is familiar with the lower case o notation)
    3
  22552. You should become a comedian! If your math videos are very helpful to us, then your comedy ones are extremely funny AND contains many short implicit messages with some great amount of impact on us!
    3
  22553.  @TheMathSorcerer  ohhhh, I was afraid of your response! I thought it might be offending to tell a mathematician that he should be a comedian instead 😂
    3
  22554. Karen sounds like Carmella Soprano :p
    3
  22555. bought it , haha
    3
  22556. Keep up the work. Learning during the pandemic is hard,👏😭
    3
  22557. This book came along after I could have used it, so I took a few glances at it and recoiled in horror. Something (I know not what) went wrong in my second-year Algebra class, which pretty much doomed me in Calculus. It dogged me all the way through graduate school; I may have been the only student to earn a PhD in Chemistry from UCSC without taking a quantum mechanics course, which I just managed to weasel out of. I don't see what would be particularly impressive about taking Chemistry and Calculus during the same semester; I took Chemistry, German, English, Calculus, and Physics (all 1A) during my first semester--it was common. Since I enjoyed Chemistry, and particularly Organic Chemistry, I enjoyed it and did well, although I did notice that significant numbers of other students did not, particularly after the new teaching methods came into vogue in the late 1960's. I avoided the Life Sciences like the plague until I was in graduate school and needed them for a redirection when the PhD chemist job market went into the toilet in the early 1970's. And then got flushed. I ended up doing all right with jobs that were "inappropriate" for a PhD. I attribute my success in and enjoyment of Organic Chemistry to the fact that I happened to learn it first from one of the last professors to teach it in the old way (descriptive) and then from others in the new way (with reaction mechanisms). The new way discarded generations of valuable pedagogy, and year after year as a teaching assistant I had to rescue students who were overwhelmed by professors who didn't know any better. No matter how strange it seems to me (!), I suppose it shouldn't be surprising that there are people who can groove on mathematics. I remember with fascination encountering people who clearly understood the Tao of mathematics, just as I could (and can even after all these years) envision the interactions of atoms, molecules, ions, polarity, polarizability, charge, electron clouds, and energy maps. Cheers! And congratulations.
    3
  22558. Sir you are my favourite & I am your big fan .
    3
  22559. oh my gosh ive been trying to understand transmission line equation derivation and I realized I never really understood how to take the limit. i feel like a knot in my brain finally got undone. thank u so much!!!
    3
  22560. I’m a 22 girl and it’s my 2023 resolution to learn math, and prove to myself that I am more than my age and gender. I will come back and update this comment.
    3
  22561. I believe your comment about there being an understatement as far as the book being designed for average students, but with some more difficult problems. The series itself as I remember looking at them today and purchasing the first three pace themselves to be more basic in the earlier volumes, yet, by the 6th volume the series anticipates that these problems in general will be more difficult. The text you referred to including the text that follows explains: "The majority of the material is aimed at the student of average ability but there are some more challenging problems. By working through the books, the student will gain a deeper understanding of the fundamental concepts involved, and practice in the formulation, and so solution, of other algebraic problems. **Later books in the series cover material at a more advanced level than the earlier titles, although each is, within its own limits, self-contained."** The statement following the * describes why the problems in your edition felt like there were more than a fair share of difficult problems. ... Or so it seems to me :)
    3
  22562. Second comment!
    3
  22563. No dislike, as it should be
    3
  22564. Can you make video about Fourier transformation
    3
  22565. You will never forget what is important to you or what you absolutely need. If you forget something, that simply means that whatever it is that you forget is not important to you or important in your life.
    3
  22566. swaps my current shoes for Merc Treads 😎
    3
  22567. This guy looks like Newton
    3
  22568. Hey look veypav, I went through something very similar when I was in school. You have to look at the situation pragmatically, and after every exam you take you need to do a postmortem. What worked and what was a waste of time. 1. You said you did every problem, but from where did you get these problems? Chances are the problems you did wasn't at the standard of your exam. You need to always find the hardest questions you can find, and how to do them well in advance before your exam. You should be compiling this booklet during teaching, not days before your exam. 2. Then when you're prepping for the exam you should be practicing all the difficult problems as though you are in a test condition. Mix up the topics of all the hard questions you found and turn them into mock papers. Before you work through them pretend and meditate as though this is your real exam. Then observe how is your body reacting, is your heart rate increasing, are you sweating etc. Now, you need to consciously bring your body down to a calm meditative flow state. Once you have done this then you begin your mock paper. 3. In the run up to exams, keep practicing being calm and bring your body down to the state that you want to be in for your exams. This way in your real exam you should have no problem returning back to this state. Goodluck
    3
  22569. Hello man and thanks for the videos, i have a quick question. I don't know anything besides school math. What should i learn before starting with discrete math (or your easiest udemy course). Ok thanks!
    3
  22570. Have you ever reviewed/read Kline's Calculus? I think its a good book to develop some intuition alongside Stewart's (which I find to be more rigorous).
    3
  22571. You are literally the best calc teacher please come work at SJSU
    3
  22572. You can still make more money from mathematics if you want. If you know basic programming, you can work as a data scientist, statistician, or some analyst in financial industry. You probably earn more than CS majors.
    3
  22573. The time factor is only part of it. So much of time is consumed while in COLLEGE!!! That time in one's life when socializing for geeks is easiest!!! Paul Halmos believed pure mathematics was an art. I'd go further it is an art without a medium. The equations and problems art no more an artistic medium than sheet music. And one's only audience is other mathematicians working in the same field. Laypeople general don't have a clue about math or are even averse to it. This is doubly true for women. There's no need to go into the reason's why. It's enough to know that it's so. This is killer if your heterosexual! I would even more strongly emphasize joining social circles of nonmath people esp. with a high female to male ratio. If you're the least bit spiritual join some religious organization. If your the least bit musical find some group to play with. If you speak another language hang with the international students If you don't dance--LEARN!!! And I mean real dance latin swing ballroom whatever as long as it's not that disgusting griding that goes in clubs You'll thank me later
    3
  22574. The pain I felt at 1:15:00
    3
  22575. Ive been fascinated by math not due to the love for it but the hate for it. This was always a killer, I struggled with math, then a teacher came one day and explained in a rpg fashion, "you can't beat the final boss with one skill" (mind you this was 3 months before my O levels and I knew nothing, not even basics)and he taught me calculus, algebra etc. And now I've branched towards other fields of maths! All I'm saying is, all it requires is you saying to yourself 'Start' and literally just starting like every rpg hero. Level up people!
    3
  22576. Yoda level and in a similar background as his home planet" simple it is" hhhh.thanks for your vids always up top
    3
  22577. I love your videos, they are so motivating and real. Thank you!
    3
  22578. You're awesome. Where's your little birdy by-the-way?
    3
  22579. Cuesta College San Luis Obispo, CA. College is close to the Pacific Coast Highway (PCH). Put this on your bucket list for places to see. My daughter and I drove from Monterey CA to Long Beach. Views are breathtaking.
    3
  22580. Those are excellent tips, could u make videos on interesting concepts u found in rare books?
    3
  22581. Great video
    3
  22582. If you made it through school without making friends with BOB (back of book), I don't know how you ever finished homework haha
    3
  22583. HOW AM I SUPPOSED TO DO 5 OF THESE IN AN HOUR??
    3
  22584. I think the best beginner text is the platonic Alchebiades I and then as many of plato's dialogues as you are excited about. It's important to learn platonic dialectic reading - where you read in conversation with the text in a way where you can think beyond the text: Try really formulating your concerns with Socrates or whoever's views in your mind before continuing the text and see if he adresses your concerns and if this is an appropriate answer.
    3
  22585. I like this book, even if it's beyond elementary level, and I never was a good student of group theory!
    3
  22586. Amazing book
    3
  22587. Thank you very much for this and your fantastic channel.
    3
  22588. I don't remember ever having done this. Cool! I wish we used base 12, seems cool because its much more divisible than 10 is.
    3
  22589. You know, I bet 90% of people will call you a nerd (behind you back) if you tell them that you like math or something similar (Im talking about young people, not teachers). I dont mind that at all, but some people do, and they can loose motivation and interest to math or enclose themselfs(((
    3
  22590. For me I got the full mark in all my secondary school exams, except 4 of them, in each one I made one mistake. Another accomplishment is that I've solved some very tough problems in sequences. I think I still have a long path in front of me to accomplish something I will be proud of it.
    3
  22591. Did you make all exercises of the book??
    3
  22592. You sir, are a true nerd🤓👍🇸🇪
    3
  22593. This is beautiful sir.
    3
  22594. I studied this book in my bachelor 😊
    3
  22595. Seeing the thumbnail, I was expecting this to introduce something analog to regular trigonometric functions but based on steradians instead of normal (flat) angle measures. During introduction I switched to thinking it will be about non-euclidean trigonometry.
    3
  22596. Sir... I am have zero background in mathematics.. Now i still try to learn math, because some condition make me to do that. I want to ask you how you organizing your math notes (because math have many different subject) i'm very confusing with it.. Please reply my problem T_T
    3
  22597. How far are you in math?
    3
  22598.  @Ardanputratama  Math is just as much about language as it is about numbers. If you struggle with English that can make learning math from sources in English tougher. My advice would be to either find math books in a language you feel more comfortable with, or build up your English language skills. Look up pre algwbra textbooks and if those seem too easy, look up algebra 1 textbooks. Don't feel bad English is a tough language even for native speakers.
    3
  22599. Yay for classic algebra!!! Neither too easy (lots of teachers out there who doesn't teach cool tricks), nor too difficult (Chrystal's "Algebra" vols. I & II) :)
    3
  22600. Is this the same Horace Lamb of fluid mechanics fame?
    3
  22601. Thanks we need more math excepts
    3
  22602. Holy crap, thanks. :)
    3
  22603. I appreciate this video, filled in alot of gaps
    3
  22604. Yes this is the book that essentially changed the world. This was required reading for graduate students back in the day.
    3
  22605. Saved my right before an algebra test, thanks! <3
    3
  22606. Sir What about the book by J Gallian ? DrRahul Rohtak Haryana India
    3
  22607. Nice mtg coasters
    3
  22608. love from india❤
    3
  22609. Math Sorcerer, you are the best! Thank you!
    3
  22610. El que madruga Dios le ayuda. God helps the one who wakes up early 👀
    3
  22611. Thanks!! You're a Sorcerer Indeed.
    3
  22612. I'm studying maths in the UK, and we did a whistlestop tour of calc 1 and 2 in the first year (although they just called it "Calculus"), and in the second year we began studying real analysis, linear algebra, vector calculus (calc 3... again, they don't call it that) and Stats 2 in our first term which we've just finished. Next term is ord. diff. eq's, linear optimisation, abstract algebra and numerical methods. The jump from last year to this year has seemed pretty big, especially with the more abstract concepts and proof-based content.
    3
  22613. Hey Math Sorcerer, I have been subscribed to you for a while, and I have always thought "Hmm... TMS might be really interested in trading given how passionate he is about math." I am 19 years old, pursuing a career in intraday futures trading, while trying to get a degree in Mathematics. The markets are created for people to lose... One of the key elements that go into my trading is that successful traders separate themselves from the 95% herd, or so called "retail traders" whether it be in regards to discipline, psychology, and even technical analysis. In my opinion, many of the technical analysis currently spew out very easy concepts to understand which rallies the majority of traders to come into this field to fail. Unless you can employ logic that successfully fades retail trading, you will continue to be prey alongside the masses.
    3
  22614. enter the dragon but it's enter the math sorcerer
    3
  22615. Your hair is really pretty!
    3
  22616. You take calculus to finally learn algebra/trig 😂 That’s when I realized I brain dumped pre-calculus during the summer break. 😢
    3
  22617. Omg thank you for this!!! is there any way that u could do something similar for engineering or robotics? i would love to learn more about circuits and mechanics!!! i love this video idea
    3
  22618. Thank you so much!! Really needed help with this question 😣
    3
  22619. Great video and keep up
    3
  22620. Is it possible to reach you via email? I got accepted into a major university, but I have questions regarding Math. Please let me know if its possible!
    3
  22621. First viwer from india😅🌙
    3
  22622. Hi Prof. Thank you for yet another valuable gem. I was wondering, could "Discrete Mathematics and Its Applications 7th edition" by Rosen, Kenneth be a good alternative starting point as opposed to the books you recommended? My ultimate goal is to eventually attain mastery in Computational Algebraic Topology.
    3
  22623. The best video of yours
    3
  22624. Absolutely love your channel! On the flip side of this, for years I’ve had issues shutting my brain off at night when I’m working on a problem. Not sure if this is a case of being too disciplined or terrible sleep hygiene lol
    3
  22625. Visit the University of Washington library! There's lots of great stuff that you can't find anywhere.
    3
  22626. And let me tell you ... 😂😂😂😅
    3
  22627. A while back I had a question about algebra and thought I bet YouTube would tell me. I'm a psychiatric social worker and since basic math haven't had any need for advanced ... probably 95 to 98 percent of your channel is about things I don't understand but subscribing has taught me a lot and is fun thank you. BTW I have a noon appointment it's 11:55 so exus r the grammatical omissions and errors
    3
  22628. Cal 3 was the hardest cal for me due to triple integrals with spherical coordinates. That sucked big time
    3
  22629. Really nice library here! Thanks a lot, I get inspiration from your videos
    3
  22630.  @TheMathSorcerer  https://drive.google.com/file/d/0B638i8HldGozNzQ0WVFhWldxYXM/view?usp=drivesdk&resourcekey=0-BU2S-95eN5m5-6AWVUgWNA
    3
  22631. My stats professor doesn't teach very well and i understand very little. Thank you so much
    3
  22632. Thank for the video l have the same problem l have A+ in my other classes but got a B+ in math and thank you l will do this on monday to bring my grade up 🆙
    3
  22633. Thank you so much!
    3
  22634. 👏🏻👏🏻👏🏻
    3
  22635. This might be an unpopular opinion. But I think many of the popular calculus textbooks are bloated. At the start of each chapter in Stewart, for example, there is a gigantic colourful picture of something completely irrelevant to calculus (e.g., a massive pyramid that takes over half of a page in the chapter "Application of Integration", I guess the message is that integrals can be used to find volumes but isn't that a bit gratuitous?). Also, what's up with the blank space on the side of each page (e.g. 5:37)? Let's not forget these things all go into the price of the book.
    3
  22636. The Math Sorcerer Hey I know if it’s late but thanks for the advice. You gave the courage to enroll in the class. I might have to drop it if I can’t handle my course load but I’m excited to take it.
    3
  22637. This was the first induction proof I learned, which I found in the beginning of Calvin T. Long's "Introduction to Number Theory" As a total n00b, this lovely little proof made me feel so powerful haha! Great stuff. Awesome theorem
    3
  22638. sir your channel really gives me the intuition of beauty of mathematics thank you so much sir
    3
  22639. Thanks sir
    3
  22640. Physics is life!!!
    3
  22641. By the way How do you think about Apostol calcus?? Do you think it’s good for beginners?
    3
  22642. Math Sorcerer, if you see this, how do you feel about going all in on a few index funds and some bonds for young people? I've heard that modest yearly contributions can make somebody a lot of money over a couple of decades. It just takes a long time
    3
  22643. Its so funny and sad at the same time that so many intelligent people Think they are "average". (see: Dunning Kruger effect)
    3
  22644. In India, its fairly easy to get used books because there are just so many people who go through college and use such books which are later then disposed off at the scrap, junk and old newspaper shop dealers. Those dealers are also smart enough to not to destroy any books and generally sell them by the weight at prices as low as 2 or 3 dollars a kg. I got my copy of this book in a similar way too.
    3
  22645. thank you for spreading knowledge
    3
  22646.  @TheMathSorcerer  What I meant was I did some courses ahead of time. I only had two courses final semester.
    3
  22647. This speaks to me. Thank you for making this video. It applies to my experiences learning languages on my own. The thing that helped was that there was an online community of such audiodidacts here on YouTube.
    3
  22648. Needed this video! Thanks for the encouragement!
    3
  22649. I came here because I hate the first book xD
    3
  22650. 5:25 Math Sorcerer wearing sunglasses in local high school's math club while throwing hand gestures.
    3
  22651. Correct me if I'm wrong, but i believe the degree of rigour for the sciences and mathematics taught in the US during the cold war was far greater. This is reflected in the textbooks from that era; they too were more concise and rigorous. Is this true as far as you know? And why is this the case?
    3
  22652. I thinks its a perfect life 🤩
    3
  22653. Absolute ⛽️
    3
  22654. i have been searching but couldn't find..
    3
  22655. As a math major who is very unmotivated right now, I can say your videos are helping me a lot! (I still don't know how to believe in myself tho...) Thank you for your work!
    3
  22656. It means nobody dislikes cslculus
    3
  22657. 1:57:54 to 1:58:20 ....... the DE tongue-twister...... haha
    3
  22658. Where did you buy all those books? If you let me know, it would be good to buy math books.
    3
  22659. Now I want this book so bad after watching this vid, soon I will have stacks of math books awaiting me 😅
    3
  22660. I know L'Hopital's rule, but I think your solution is best to understand its rule's ground. Awesome!😉
    3
  22661. my struggle in calculus is all those things you mentioned about trig? im expected to know them but i've never taken trig :(
    3
  22662. Thank you.
    3
  22663. ODE?
    3
  22664. It’s the enjoyment of simple sounds. Specifically some people apparently get this tingling sensation when they hear relaxing sounds or something. I’ve never actually experienced the sensation myself but that’s what I’ve been told.
    3
  22665. Is Converse valid ??? Every bounded sequence is convergent ??? Here it is not monotonic ......
    3
  22666. Click video to learn math in 18 minutes, man pulls out a whole library😅😅
    3
  22667. One of many reasons why I hate math is when the teacher explains how to do a problem but gives you a completely different problem to do an exercise on. like I didn't even get a chance to learn a routine and memorize the last problem.
    3
  22668. Cool.. always interesting to watch anything you post, so please dont hesitate to make a video about any kind of or level of math that comes to you. Thnx for the vid!
    3
  22669. "Developmental" as psychogists say
    3
  22670. Once out of haste, I did 3+4=5 in an MCQ test on Quadratic Equations. It was a multi-correct question: +4/-2.
    3
  22671. The Math Sorcerer appreciated
    3
  22672.  @TheMathSorcerer  Yeah, but he says the rings are more intuitive because we already worked with Z, it's kind of familiar - and then you build the theory around them and later the groups are easy :). Thanks for the reply.
    3
  22673. I'm very glad you reviewed this legendary book
    3
  22674. 1st
    3
  22675. If you're reading this is it ok to skip pre algebra and is the college algebra and trigonometry textbook by James Stewart good? Thanks
    3
  22676. Sir, will you please refer a book on differential equations to use while listening to the lectures?
    3
  22677. The 2012 softcover 5th edition of Serge Lang's First Course in Calculus is 746 pages
    3
  22678. I like that. Math is like dope. Sometimes ya gotta change your dose. Lol
    3
  22679. thanks a lot for your advises and motivation! I like learning on my own, and your videos are really cool and helpful
    3
  22680. Great video! But I have a question. If something prompts us change most of the fundamental axioms of math, won't we get 'new math'?
    3
  22681. Boy got them Durkio eyes 👀
    3
  22682. At first I thought that an application log wound make things easier, it is almost all the same. Thank you !
    3
  22683. Great video! Thanks for the daily dose of Mathematics
    3
  22684. The Math Sorcerer Thanks!
    3
  22685. why don't you do some videos about physics ?
    3
  22686. Would you please comment the book CONCRETE MATHEMATICS by Knuth, patashnik and Graham. If possible in a spanish video! Realmente sus videos son inspiradores para los que queremos aprender un poco más de matemáticas. muchas gracias!
    3
  22687. Your Spanish is pretty good btw (I am from Spain)
    3
  22688. Thanks ❤
    3
  22689. 4:37
    3
  22690. Thanks! U solved my confusion
    3
  22691. Thank you very much
    3
  22692. Thank you for the advice, have you got tips how to develop this mindset - I tried to live that way for some time but I can’t help worrying about the future ...
    3
  22693. Well said, thanks for another great one Sorc
    3
  22694. Calculus 7?! Boy, we better be doing some 10th dimensional integrals or something.
    3
  22695. maybe ode's man !! Series solutions and laplace transform is what we are currently doing in class
    3
  22696. What will happen to those worst students in grad school? Are they going to work as a mathematician?
    3
  22697. I learn algebra with Baldor's Algebra and Gonzales and Mancil's Algebra. I always found Baldor problems easier than Mancil's
    3
  22698. You dear sir have earned a subscriber
    3
  22699. Studying maths isolated is the best feeling :)
    3
  22700. Nice to see some proofs from group theory. I hope to see more soon!
    3
  22701. Prof : dy/dx is just a notation and not a fraction Differential equations : hold my solution 💀
    3
  22702. This is really positive, and really great advice! It is big feature- it is easy to use. Just to put it into the memmory. I will have something positive (weonderful) for today! Simple sentence. To be positive. All the time. 🙂Positive things are very neccessary to do a progress in any direction (math or any other stuff). HAving positive, u do progress, you see your results, u do progress again..and this is a cycle of positve. Thats cool! Best advice for the end of the year! Really, no joke!! Be positive!!! 😀
    3
  22703. Great video! Sadly, some of the traits on this list are almost impossible to obtain unless you were born with them. Some people are just born geniuses.
    3
  22704. would u recommend me some problem solving book for beginners ?
    3
  22705. Thank you for these videos. I have a suggestion: is it possible to make a video recommending books who have only problems (with solution) especially for calculus (distributions)?
    3
  22706. Finish in math?🤨
    3
  22707. Thanks, Math Sorcerer. This is really good man.
    3
  22708. Don't forget to believe in yourself
    3
  22709. I learn this method in 10th class
    3
  22710. 0:42 one of reasons why scores only make it worse.
    3
  22711. Absolutely fantastic
    3
  22712. Thanks sir for this explaintion
    3
  22713. I just started my masters degree and you are a great motivation, your comedy and inspirational videos are my favorites!
    3
  22714. If you've never taken abstract algebra before, should you read this book or Dummit and Foote's book ?
    3
  22715. Dude I love big fat book
    3
  22716. Well, to be honest, just as an experiment, some of these could be implemented and tested in real life. Like meeting the professor on Fridays, having beer and pizza together, not carrying that much about the grades. Value effort. I bet the results may be really interesting.
    3
  22717. Hi
    3
  22718. Thank you for this video. I plan on following your roadmap very closely in the very near future.
    3
  22719. This book (K&R) warms the cockles of my heart. C is just so right as a computer language. Any other language (interpreter or compiler) is probably written in C.
    3
  22720. im joining the math sorcerer army
    3
  22721. Just remember that most soaps and sitcoms have more weird variables/constants than most of the math you can come across. Then you just gotta forget you´re human, think abstract and binge the math as it was the first season of lost.
    3
  22722. Your energy is awesome, math is supposed to be fun
    3
  22723. Very useful review.
    3
  22724. If mathematics finished learned, the world should have looked like tomorrowland.
    3
  22725. I suck at math but I'm drawn towards these videos like a moth to a flame
    3
  22726. I honestly lacked the discipline and maturity to study math correctly in High School. I aced History because I loved it and can memorize countless amounts of information. Now I’m attempting to go back to college next fall so I have been playing catch up with Math. I honestly enjoy it. “It” being 10th grade math 🤣. PS I’m 43.
    3
  22727. Hey, so this is kinda off topic from the video, but do you know where I can look for solutions to mathematics textbook exercises. Specifically to Garrity's 2nd edition of "All the mathematics you missed"; I'm currently in highschool and working through the book and none of my teachers can really help very much. The answers on forums are also not for every exercise, so I have a few gaps where I'm unsure whether I'm right or wrong.
    3
  22728. And first view!
    3
  22729. Hey Math Sorcerer, I agree with this so much! I am Biology major, while I'm not a pro at math and had an interested in math for a bit, I loved Bio more. My point is you are right, when I was taking remedial classes all over I thought "Let's go into this and enjoy it." I enjoy the class, had trouble here and there but that's how we learn. So going in with a positive attitude let me enjoy math and made realize I can do it and if I was a negative Nancy I would of never gotten into my Bio major I feel truly. Online classes made it hard but I am looking forward to taking Calc in person and being positive. Thank you again great video for all subjects!
    3
  22730. I wonder why nobody here was thinking of ODE and PDE. I had so much trouble with the methods of characteristic and sturm liouville problems
    3
  22731. Amazing!! Thanks so much for your full and dedicated explanation! Nice key trick over the end!
    3
  22732. Thanks for your help!
    3
  22733. Thanks for this encouraging video, even I’m working in ML, really appreciate it.
    3
  22734. Thank you so much for making this video. I can't believe I forgot that you can just plug the given point in. You're a life saver!
    3
  22735. This is the book that we used when I took my Advanced Calculus I course.
    3
  22736. Thank you for motivating me to do math❤
    3
  22737. Seems like your book is fairly similar. Just finished my exam on 3.2,4.1,4.2,4.3,4.4. Hope you have my next stuff!
    3
  22738. 'top score was a 54...' yeah I've been in this math a physics class. lol
    3
  22739. Unfortunately, no.
    3
  22740. and Alfhors CA is GOATED
    3
  22741. Sir, did you think that geometrical proofs develop us to understand deep mathematics like claculus 🤗🤗
    3
  22742. 8:11 "it's just a condition" LMAOOO what you mean just a condition, like the condition of too low iq, the affliction of bein too dumb lolll
    3
  22743. I am a pre-med majoring in biology and stumbled across your channel because I am taking calculus this year. I was very bad at math in high school because I didn’t try, but I am loving calculus and love your videos. I bought Chris Mcmillen’s calculus workbook on your recommendation and it’s already helped this semester.
    3
  22744. This is how I felt when I chose maths as a major, lol. Then I took foundations and started to doubt my decision lol
    3
  22745. Thank you very much sir!😁
    3
  22746. soviet math books?
    3
  22747. T=time
    3
  22748. Bro looks like a Genius fr fr... I'm still in 9th grade, and not into and is failing in Academics, but I'm working on changing that... I love enjoying your content on math, makes me think critically❤ Correct me if I'm wrong... so basically, the lesson is; -Explaining and (word where you carefully change someone's vital organ) ing your reason for that solution = Good -Getting and Accepting Criticism = Good -Mathematics is hard, BUT isn't impossible ..Idk, that's all I think of... Y'all help me digest this... I'm basically still a baby in math, I need someone to chew this for me...
    3
  22749. The most frustating thing is u love it, but u r bad at it.
    3
  22750.  @TheMathSorcerer  Thank you very much I greatly appreciate the development and completeness of your answer, it certainly helped me. I think I should reevaluate the whole thing, I decided to ask you because I like mathematics but I am currently studying my degree and I need to make the most out of my time. Thank you :)
    3
  22751.  @TheMathSorcerer  Excellent video. Please do more book reviews.
    3
  22752. Why is it that people think if you are good at math, you're smart and if you're not very good at math, you're not smart? In my experience, people who aren't as good at math are extremely good with people skills and are great with words and writing. That doesn't make someone dumb. People and writing skills are highly valuable to have. Knowing these things can get you places in life that book smarts alone can't. And that's not to say that people who are good at math don't have people and writing skills, just like people who excell in writing and people skills can also learn to be good at math. I just think we all have our strengths and weaknesses, and neither one is better than the other.
    3
  22753. In university, I recently learned how to calculate the derivative, and I had done like, 3 pages of derivative calculations to make it easy and fast for future tests, implying one of your tricks from an older video.
    3
  22754. Thank you! I’m older and i’ve been doing engineering summer transitions courses plus covid plus more blah blah s but thank you I get so down and negative so this is really helpful
    3
  22755. Thanks, sorcerer your videos have helped me a lot to improve at my mathematics :D Thank you a lot
    3
  22756. Great Channel
    3
  22757. Great video took your time and explained it perfectly
    3
  22758. thank you! 🖤
    3
  22759. Too bad I can't like this review twice.
    3
  22760. I was looking forward to this video! Love your Spanish channel! Thank you Sir!
    3
  22761. I am listening to you, while translating your speech into Gregg shorthand inside my head. Practice only.
    3
  22762. Magic the gathering mentioned!
    3
  22763. I lost my copy of Halliday & Resnick somewhere between my Undergrad and now. I recall it being good while I was in the midst of learning Calculus (Marsden & Weinstein) in parallel and generally keeping my act together as a Freshman.
    3
  22764. heyy Math Sorcerer, thank u so much, your videos are really helpful, love the channel/content first btw
    3
  22765. Sets of Wide, balanced and close pull ups a couple of weeks, perfection
    3
  22766. I miss chalkboards: my writing is so much more legible because of friction between the chalk and the board. When I write on whiteboards, it looks like I held the marker in my teeth.
    3
  22767. Math sorcerer AI math tutor? Something to compliment the Udemy courses.
    3
  22768. Instructions unclear, got my head stuck in a toaster Fr tho, great video
    3
  22769. Thanks Sir useful video.
    3
  22770. ❤❤❤💗💗💗💗
    3
  22771. step 1 - look up and record the math bachelors and masters curricula at MIT, Carnegie Mellon, or any university with STEM prestige step 2 - set up a planner and download the respective necessary books step 3 - enjoy the journey with practice problems
    3
  22772. You can come to the Netherlands. Its save here. I live in Almelo 7609gd its savr to study and teach mathematics in the Netherlands. I myself am a beginner in mathematics
    3
  22773. Awesome and really useful advice. Thanks a lot for this. Extremely helpful.
    3
  22774. you're all nerds
    3
  22775. Bro you have the face of Jeff Bezos HAHAHA
    3
  22776. Since it is a 0/0 form L'Hopitals rule can apply so taking derivatives we get lim x --0 of cosx/(1/3x^(-2/3)) which simplifies to 3cosx*x^2/3 and in the limit is 3*1*0=0
    3
  22777. Omg I did the same!! But for a moment I thought that was infinity. I forget to solve the complex fraction!! Thanks for explaining it
    3
  22778. One of the reasons I have fun doing math is that it is challenging.
    3
  22779. Thanks you sir you save my day.
    3
  22780. What are your favorite toppings for hotdogs?
    3
  22781. EYYYYYY U A BAOSS !! THANKS the self study part is amazing
    3
  22782. is the converse also true? If a set S has a linearly independent subset, then S itself is also linearly independent?
    3
  22783. I wish I only liked math OR physics. Loving both permeates my study-devotion time. (Not to mention philosophy, astronomy, etc). My brain is flooded! Aahh lol
    3
  22784. Nice
    3
  22785. Done, oficial members!! Excited for new vids!!
    3
  22786. I'm self-studying and redoing my math education through the Brilliant app. I'm really enjoying it right now 🙂 Of course I'm going to supplement with books soon, because you need to do that. I enjoy self-study. I don't always like being told what to do. I learn quickly and I ace tests, but the pressure is there, and it doesn't stick as much. I'm like you. I can be defiant. 🙂
    3
  22787. Ok a couple of tips that i find usefull. 1.Studying with a touchable book, instead of the ebook is better. Having the book in a easy access place, helps reading it faster (sometimes i walk with it everywhere). 2. Thankfully 95 % of books are garbage (voltaire in candide, chapter 25 proves this), thats why i prefer the recomended books of someone who is passionate about a topic and has a scalating way of understanding (order). Finally, I can totally relate to that kick that a good book has, and yes "Wow that was cool" is such a precise and "mystical" expresion. Happy holydays to all.
    3
  22788. U look like issac newton
    3
  22789. Wonderful lecture as always! By the way Sir, you look alot like Jeff Bezos! (P.S:He originally choosed to do a Mathematics major, but then he switched to Computer Science after seeing a tough Differential Equation)
    3
  22790. Can we appreciate the fact that he is ripped like look at his arms and shoulders, for sure he worksout
    3
  22791. How do you get these books?? I seem like every really good book you get is signed.😂😂😂
    3
  22792. Suggest some best mathematics university in the world
    3
  22793. Hay un Manual de Soluciones que combina las dos ediciones, Tercera y Cuarta.
    3
  22794.  @TheMathSorcerer  Kheeeeee????? Ya tienes el solucionario???!!!! ME dices que vas a hacer un review!!! Bro vas a ser el primero que emocióoooonnnnn😭😭😍🤩😱😱
    3
  22795. Wow. Good videos. Did anyone ever told you you kind of look like Sir Newton? 😊
    3
  22796. I really needed this right now
    3
  22797. Literally sir I appreciate your work please do react and try Indian competitive exam sums like jee u will realize why I commented this I am just 17
    3
  22798. Hey man, I really appreciate the video. I totally agree that believing in yourself is a huge part of picking up and learning math. If only I could tell my SO that. Like she always devolves into pessimism and it really stops her from trying, even though I always encourage her. Maybe I should show her this video lol
    3
  22799. Soviet mathematics has a high reputation Does anyone know about soviet/russian calculus books? Here, I'm taking about rigorous mathematics books for mathematicians.
    3
  22800. I would say you don’t but if you want to be successful in it you do
    3
  22801. Love you 😘 I'm from India.... I fully understand and mind relaxing voice 💖💖
    3
  22802. The book you revealed is 2002 which has no existence in the web ! But also the last addition I guess in 2018 by the same authors. And it is available on Amazon too
    3
  22803. The amzn link pointed me to the book by Smith, et al.
    3
  22804. tysm for this video it really helps
    3
  22805. Excellent - just pulled out my 1964 copy of Principles of Marine Navigation (D. A. Moore). Back to rehab math! 👍
    3
  22806. Thanks for inspire us to learn math
    3
  22807. that someday will be today
    3
  22808. This video was posted, at a perfect time, thank you!
    3
  22809. love u more than cashew nuts
    3
  22810. Wow your channel is growing really fast. You should definitely invest a lot of time in YouTube. I love the change of environment, btw ^_^
    3
  22811. I don't have this book to hand, but according to the back cover, the answers to the problems are at the end of each chapter.
    3
  22812. I Heard your response to Ian (?), i hope i got that right), but that does help soo much, I was always AFRAID of math! and even doing little things daily, helps conquer you fear by giving you confidence in learning and if you get to APPLY IT during your day in some way- it really helps you grow. Good luck
    3
  22813. I'm stuck full time working, while doing computer science. I think I can only manage two classes a semester if I want to do well.
    3
  22814. just a remainder that maths has no end! it’s infinite ♾
    3
  22815. The key is to present mathematics in a practical and/or beautiful way
    3
  22816. That is a very practical and win win advice applicable to other similar situations. Thanks
    3
  22817. Please stop making these, my shelves can't take it anymore.
    3
  22818. great video thanks a lot, all these issues that you mentioned had happened to me at some point and I haven't had a good way to deal with them, now I have
    3
  22819. inverse clickbait
    3
  22820. The more math i do, the more i like it
    3
  22821. This comes at a perfect time, i like the design and size, it looks straight to the point.
    3
  22822. hey! do you have any advice on this? whenever i see a question that's from another book and not from my book, i don't know what to do at all and my mind goes blank (am in high school btw) i hope you understand what i mean!
    3
  22823. Unrealistic goal. This is the key i will take from this video
    3
  22824. Thanks
    3
  22825. That hand writing is bloody diabolical
    3
  22826. Hello sir, I am studying 9th grade and I am interested to learn calculus. I know basics of limits, differentiation, integration. What calculus book do you think is good for me?
    3
  22827.  @TheMathSorcerer  thank you sir.
    3
  22828.  @TheMathSorcerer  sir can you please tell the title of the book written by Stewart. There are three books written by him about calculus : calculus, calculus: early transcendentals, multivariable calculus.
    3
  22829.  @TheMathSorcerer  okay sir.
    3
  22830. My interest in math has really taken off during this time so i just want to say thanks because i'm not that good at it in school
    3
  22831. Your words are a great motivation. I start today, we see us in a year to discuss the results.
    3
  22832. thank you! I totally forgot how to do this and this is exactly how my stats professor did it!
    3
  22833. MAXIMUM PLAYLIST SIZE EXCEEDED
    3
  22834. Conway wrote a first course in analysis recently.check it out!!
    3
  22835. YOu just saved me from getting an e! thank you!
    3
  22836. First
    3
  22837. Another nice video :)
    3
  22838. Listening to Eckhart Tolle while studying math .
    3
  22839. you're the best
    3
  22840. FIRST ONE
    3
  22841. Today, 15 June 2024 I'm listening to the Math Sorcerer's talk. So motivating and giving inspirations. Thanks so much for sharing 🥇🏅🎖️🏆👍⭐
    3
  22842.  @mikeymartinez7554  I think Math Sorceror is saying that by studying math, you exercise your brain in such a way that you are able to examine and/or analyze /evaluate the many options (variables) available and then, depending on your personal priorities are able to determine which option best meets all or most of your needs. At least that's how I took it. Tho I admit, being a geek who is always keen on self-improvement, I would have loved some real life examples. XoXo.
    3
  22843. Sir your eyes are indicating towards the clinical symptom of exophthalmic goitre... Please do get tested if any abnormal symptoms are coming up.
    3
  22844. I would recommend someone to look for Apostol first, Spivak is easy to Understand, but you must have proper fundamentals which for me, Apostol provides better. For the Problems, some easy problems, even more hard problems. It's like straight solving Rudin when you're just starting off Mathematical Analysis.
    3
  22845. the pandemic has gotten me to the point where I can’t focus on anything without listening to music
    3
  22846. I got a 100% on my first real analysis final. I saw my other peers just trying to cram as many proofs into their head. I refused to study their way. So i spent time just going over the concepts we learned and tried to actually understand them, continuity, compactness all that fun stuff. I studied my way and got the highest score when the class average was 40%
    3
  22847. Confidence and belief in yourself is very important, I was improving very fast when I was confident and thought that I could do it but when I somehow lost my confidence and started doubting my abilities everything became way harder, I'm trying to get back on track though.
    3
  22848. Thank you!! Now I understand
    3
  22849. The music lmao
    3
  22850. this guy must be a genius because of his hair
    3
  22851. Your example was so clear and easy. I got the answer correct on MyLabsPlus by following it step by step. Thank you!
    3
  22852. It will become the new currency when society crumbles?From the greenback to the babyback...dunno.
    3
  22853. When I don't want tu study math (maybe because I am not understanding anything in that moment, and it's very frustrating because I want to understand; math is really cool and fascinating), I watch your videos in which you talk about how to success in math and how important is to be patient. You are "my method". Thanks for doing videos.
    3
  22854. Thanks for the video
    3
  22855. I'm an uneducated dolt and I really enjoy you videos on math thingies
    3
  22856. That Matthews book is good, And inexpensive. That Rossen book looks thicker than any of the number theory books I own. Would love to have that after seeing the answer section.
    3
  22857. Thank you very much, sir. I wish I would hear it earlier and more than once. That's actually my problem: getting stucked and not admitting that I can fail.
    3
  22858. 🤣
    3
  22859. Thanks very much sir
    3
  22860. Is it possible for you to do a video on Rd Sharma class 10 book
    3
  22861. Lol this new badge is amazing
    3
  22862. Pls make a video on how to grasp things fast
    3
  22863. I did pure mathematics for BS degree. I didn't get to read math books after my degree. After 15 years, I attempted to read a math book and found it was very hard for me to turn pages; My brain is sort of not working, it needs an oil change I guess. Many years ago, my high school teacher told me if your brain is not functioning, study a hard topic (for me it was geometry those days). Now, I am gonna try his advice again starting from this December holiday. Your advice from is very valuable and inspirational. Thank you for this motivational words.
    3
  22864. Thankyou I think I needed that currently. I have stepped back into a univesrity pathway program and my first maths test is in 2 days. I have been studying well but am totally anxious and scared to be honest, but your words are true in that even if I do fail, then I can still move forward.
    3
  22865. Thank you you so much sir for inspiring us . ❣️ May God bless you More 🙏😇
    3
  22866. This is my dream
    3
  22867. second
    3
  22868. Hello sir , I am from India🇮🇳
    3
  22869. your workspace looks really clean aesthetic minimalistic clean and quiet, loved it
    3
  22870. 100 book reviews great....👏👏👏 century
    3
  22871. Isn’t this the Burger King crown dude from the plane meme???
    3
  22872. You are awesome. Thank you.
    3
  22873. Reminds me of my current experience So many accounts to set up So much to install So many technical problems
    3
  22874. Trigonometry makes so much more sense with imaginary numbers. Take i^(1/2) as an example . i^(1/2) is one half in proportion to i, thus one needs a number that when squared equals 1/2. 1/(2)^(1/2) is such a number that when squared grants you 1/2. Thus, the complex number 1/(2)^(1/2) + 1/(2)^(1/2)i is the number that you get when you have i^(1/2). Interestingly enough, i is pi/2 radians from 1, and (1/2)i is pi/4 radians from 1, thus you get equal values in cos (real proportion) and sin (imaginary proportion) from i^(1/2). In algebra, one normally learns about the exponential and natural logarithmic functions. However, I always thought that introducing the complex exponential and complex logarithmic functions while introducing the concepts of multi valued functions: square roots and logarithmic before introducing Euler’s identity e^(ix)= cos(x)+ isin(x) and learning the trigonometric properties from exponentiation is so much clearer. Because of complex numbers, I only think of cyclical proportions (multi valued nature) which is how the average functions originated. Yes, cos and sin are both realified averages of the complex exponential function and its inverse.
    3
  22875. geez, this guy is a hero! that movie reference! :D
    3
  22876. I have only one rule in my life and that’s “I will always listen to people who look like Jeff Bezos”
    3
  22877. Any other book that covers most part of the material from that book by Artin? I feel I need more resources in my Algebra class
    3
  22878. lots of love to your content and making videos for us....kee it up sir:virtualhug:
    3
  22879. Being hard is the fun part of math.Even I used to need a whole day just to solve one freakin problem.
    3
  22880. Hey man could you please make a video on how to excel at math? Cause no matter how hard i try, how many questions i solve, i don't get good marks in maths
    3
  22881. Interesting thoughts. I just waited until I saved enough before going for a PhD. Thanks for sharing!
    3
  22882. First!
    3
  22883. Keep up
    3
  22884. I totally feel this right now!! I've felt it during so many topics and now I'm fighting to understand getting bounds for multiple integrals. Can't wait to nail this thing so I can watch your next lecture on its applications :)
    3
  22885. Thanks
    3
  22886. I want you to know I see the world through a magical lens. To me you are Isaac Newton, to whom I often pray for guidance on the path to enlivenment. I lost my mind to mathematics years ago, but I'm happy to know that you were able to create the lapis philosophorum. Leibniz
    3
  22887. Became a member! Love to watch your videos at the end of the day with some nice proofs talked true in a relaxed manner or some cool motivational stuff keep it up!
    3
  22888. Why did I get recommended this? I strictly watch kawaii vtubers and leftist political content. Good shit though dude
    3
  22889. From the definition, x approaches a but x is different from a. Is that okay to set x=0 here?
    3
  22890. I thought this Guy was gonna finally teach me to solve the Quadratic Equation on my Fingers.
    3
  22891. Loved the video. Anyone ever tell you you look like Jeff bezos with hair?
    3
  22892. Technically he was called Guillaume (marquis) de L'Hôpital but the fact is that many 18th century editions of his books actually spelt his name as "L'Hospital". So many mathematicians used that name. Anyway, the circumflex ^ denotes that an "s" formerly followed that specific vowel, as in être (estre) so it doesn't matter that much.
    3
  22893. I knew it! 😆
    3
  22894. Make some videos when the characterstics root is complex
    3
  22895. Math Sorcerer: Oh... That book smells nice... Michael Penn: And that's a good place to stop.
    3
  22896. First! Was watching Algebra 1 from The Great Courses when I got the notice that The Math Sorcerer had new content!
    3
  22897. wow, I thought you are native English speaker. 😄
    3
  22898. Brilliant!
    3
  22899. What are the requirements for learning complex analysis
    3
  22900. Nickelback? Haven't heard that name in a long time...
    3
  22901. Try sullivan college algebra
    3
  22902. I know u r still reading your comments which is so nice, appreciate you my brotha!
    3
  22903. Why list them for a penny? I would charge $1 plus shipping.
    3
  22904. Kurt Cobain definitely was the best indeed, such a shame
    3
  22905. "up dog"...why don't you film your lectures and upload them to YouTube instead?
    3
  22906. I really think I need to review Calc 2 and Calc 3, because I took Calc 2 during the start of the pandemic and rushed everything at the end, and Calc 3 I did well in but my teacher often got very laid back and I didn't feel I fully absorbed everything.
    3
  22907. :face-fuchsia-wide-eyes::face-fuchsia-wide-eyes::face-fuchsia-wide-eyes:
    3
  22908. How many weeks would it take to get my upper body to where I can see each individual muscle?
    3
  22909. I think it’s interest level
    3
  22910. really helped thank you
    3
  22911. More of these pls
    3
  22912. Haha, I did the dishes earlier today for this exact reason...come to think of it, I found my way to this video for this exact reason!
    3
  22913. Thank you 🙏🏻 you save my Master dgree
    3
  22914. I'm the type that just keeps everything to myself. I hesitate to reach out to others and self-promote, even though I know these are critical to career success.
    3
  22915. Thanks
    3
  22916. Thank you very much very helpful
    3
  22917. Do you have a copy of Adv. Engr. Mathematics by Ladis D. Kovach? Just curious how you might rate it. Thx!
    3
  22918. If iWeale's Rudimentary Series was still around, we'd have the theory and practice of Quantitative Easing, The Misuse of Thermodynamics, The Heat Equation and the Black-Scholes Equation. . .
    3
  22919. good playlist! thank you!
    3
  22920. I want to be a mathematician in Japan . I like mathematics for economics . I think that economics is becoming a branch of mathematics .
    3
  22921. Something that you didn't talk about is time invested. Surely some people DO learn faster, some DO learn more in the same given amount of time than others. BUT different invest different amount of time into it. You can't compare somebody that put 50h into something to somebody that put 5h into something. Even if both had the same time to do something, say a week, some people will invest more than others, and that will most of the time make a difference in the end result. Just keep in mind this is not intended to be an excuse in case you don't put enough time.
    3
  22922. I am math aficionado, not a professional, but I like the way you present this books.
    3
  22923. You really simplified
    3
  22924. Why not study 40 hours a day?
    3
  22925. thx ^^
    3
  22926. Can you do a video on the benefits/drawbacks of going to graduate school right after undergraduate vs getting some work experience after your bachelor's and going back for further education some years later?
    3
  22927. do homework, don't read the solutions before struggling
    3
  22928. It helped a lot.... Preparing for IIT JEE... I had this doubt and you cleared it...Thankyou Gentleman
    3
  22929. Awesome
    3
  22930. I can't wait to be like you!!!
    3
  22931. Thanks, but How about t^2 sin (3t+8) ?
    3
  22932. It’s pronounced like “mere” instead of “mur”
    3
  22933. I think that so many people think that way is because they believe that you will not make enough money to live but also (this applies to all academic life) that you need a lot of time until you earn a reasonable amount of money.
    3
  22934. This is a good idea.
    3
  22935. U are really the math sorcerer 🧙‍♂️
    3
  22936. Thank you so much for always relating and making us feel good about having a hard time in math. Hope you are well during these times
    3
  22937. I'm tormented when you show me these wonderful books..I can't read them because it's hard English I wish you would show me some books that have been translated into Arabic
    3
  22938. If i had to follow only one channel it would be this one
    3
  22939. You HAVE to take breaks, I have never heard of anyone being able to stay concentrated for 10-12 hours unless they had a gun pointed at their head. Go outside for a jog, watch a movie in between study sessions. You absolutely need to take your mind away from studying every now and again so that you can return to it fresh and maybe tackle it from a different angle. I'm not exactly sure what the scope is here, do you NEED to study 10-12 hours? You need to take a step back and look at the bigger picture, what are you doing now that is absolutely superfluous to achieving your goal? What's your ultimate goal? Passing an entrance exam? You're going to overstress yourself and forget stuff on the day. Studying out of pleasure? Surely you can control yourself, there's only so much maths out there and it'd be a shame if you ran out of something you like so much you'd be willing to spend half a day working on it non-stop. You're being told/forced to? Time for a talk! It's unreasonable to expect someone to wash cars 12 hours a day without a break, let alone study mathematics. You get close to achieving mastery over a subject when you can practice your art in a relaxed state - confidently, without a worry. If you lack motivation it will only hold you back, so find something interesting to do to keep yourself sane!
    3
  22940. Pretty bird!
    3
  22941. Paris Kastanias yeah I would say that year 7 is when I got interested, this summer is when I got serious about it (using the maths sorcerer’s definition) I would say
    3
  22942. I have used Jupiter notebooks with python and symbolic library for math before. Pretty powerful tool!
    3
  22943. If someone could shoot me a message I desperately need help with linear algebra by friedberg insel and Spence Chap 1 section 3 on subspaces doesn’t clue you into the slightest as to how you find the intersection of 2 subspaces, but asks you to find them I’ve never felt dumber than trying to read this and probability by ross
    3
  22944. I can’t go to a TA or office hours bc homeless and can’t afford college
    3
  22945. it's SPEEED
    3
  22946. Thank you for your time worth it👍
    3
  22947. Thank you
    3
  22948. Tysm sir 😀
    3
  22949. Have you tried "Contemporary Abstract Algebra" by Joseph A. Gallian?? Would like to hear your opinion on it :)
    3
  22950. Can you please make comedy videos where you are explaning some very very good question or concept in a fun way that would be awesome 🙂🙂
    3
  22951.  @TheMathSorcerer  Muchas gracias.
    3
  22952. I love these videos!
    3
  22953. I have the 4th edition. It was the mainstay of first year engineering in 1970s. The sections on Fourier transforms and complex numbers are really important for the study of electrical engineering.
    3
  22954. A degree matters but not as much. I was poor so never thought of going any further than a bachelor degree. I got a BE in Computer Engineering from a so-so college because the fees were way small than other colleges. Got an awesome paying job and I have made a decent career and enough wealth. I believe I “calculated” things correctly, no math degree needed! Now I get time to do other things, things that I like and do them. In my opinion, if you need a degree, get one that is useful in your situation and first make a life for you and your family. That should be your priority compared to a degree! No one stops you from practicing math in your own time. I have friends who have some education that helps them get by but they run businesses and are wealthier.
    3
  22955. I also make silly mistake
    3
  22956. ur a life saver mate
    3
  22957. Great suggestions. Thanks.
    3
  22958. "Substitue" ~ The Who (1968) https://www.youtube.com/watch?v=eswQl-hcvU0 I want the Math Sorcerer (in his copious spare time) to write new lyrics for this & perform it!
    3
  22959. lol i doing proof induction right now
    3
  22960. If you can't help, I totally understand. This is kind of weird of me to randomly post this. I have never actually done anything like this before. I have two degrees so college is nothing new but this teacher is not a teacher at all. Anyways, thanks again for posting all of the stats help with homework, again you are literally the only reason I am passing this class. So either way, I truly appreciate everything you do on your channel.
    3
  22961. Math competition problems are surprisingly really hard. Reading someone else's solution is difficult
    3
  22962. "Some of these old books are actually poisonous." Takes a whiff anyway. This was the funniest shit I've seen today.
    3
  22963. Nice
    3
  22964. Dear sorcerer, what is please the best and toughest algebra book you know? Thanks in advance
    3
  22965. The mind is the best pen
    3
  22966. I have always hated math. However, I never gave up even now as I take Calculus II. I am starting to believe that anything is possible and I am starting to want to become a mathematician.
    3
  22967. If you stop wasting time, you will be more productive
    3
  22968. Beware of "simple examples" of how to easily make money when investing!.....An unsophisticated person who follows such examples ends up broke! Economics is a social science and the models and results generated are only as reliable as the assumptions and approximations which underpin those models......unfortunately those assumptions are often very heroic (I.e unrealistic) and the models are not at all robust (I.e. If the assumptions are relaxed the models fall apart).... So, if you do not want to lose your shirt, then be careful blindly following "formulas".
    3
  22969. Your voice is so relaxing and, this video is the best between triangle inequality proofs. You literally saved my life
    3
  22970. Thank You!! You explained this so nicely!!!
    3
  22971. Usually when i struggling to stay focus ate home i go to some 24 hour library. In the physics institute there is a "hidden" microwave which i use alot to make instant coffe.
    3
  22972. Nice
    3
  22973. Why don't you write for pointwise conv "there is a N=N(\epsilon, x) \in Z^+" and for uniform conv "there is a N=N(\epsilon) \in Z^+..." It would be no confusion then if N depends or not on x...just sayin'... :)
    3
  22974. Extremely clear! Thanks
    3
  22975. It’s been hard to motivate myself to do anything in this pandemic too.
    3
  22976. Omg this was so helpful. I was struggling on my math homework so badly, and this vid made it all click.
    3
  22977. Take it easy? My head exploded by the start of the first equation.
    3
  22978. Hmmmm...🤔😂🤔😂🤔
    3
  22979. 5 Engineering classes for one semester? I took 8 class per semester in my engineering program.
    3
  22980. This book sounds awesome and informative. I have to say that you have promoted/recommended this book very well and I can't wait to read it. Thanks for the content.
    3
  22981. Just a Janitor here...awesome video!
    3
  22982. wow!! I enjoy your lectures prof .thanks for your good work
    3
  22983. wow this is so cool man, thank you for all these deep uploads, thats massive !!
    3
  22984. I’m literally a bit over a month away from getting my B.S. degree in mathematics!
    3
  22985. It's awesome to see people like you who help with the knowledge of mathematics and also making them happy. ❤️❤️❤️❤️❤️
    3
  22986. Muchas gracias :3
    3
  22987. Es muy útil para saber lo lejos que estás del centro. La simetría te permite llegar lejos
    3
  22988. Wow, at last I know I have the perfect five reasons to go on with my studying math!
    3
  22989. I appreciate these videos so much !!
    3
  22990. firstttt
    3
  22991.  @stochastics7643  well said
    3
  22992. It really depends on who you work for. If you work for the federal government, life is good!
    3
  22993. Yes, there are only two majors.
    3
  22994. In my perception, the "perfect" life is an illusion. You always have to try to do your best, without harming yourself. I've learned that the hard way. It is not always easy, still, I know that I can change, and it's a kind of "motto" : keep changing.
    3
  22995. Modern Algebra is analogous to history coz u have to learn and recite it which pains stomach and its very large 600 pages🙄🙄
    3
  22996. Learning algebra by itself is very stale because all its good stuff comes from its interactions with linear stuff, fourier stuff, topology, geometry etc. You really need applications to bring the subject to life and not bore the uninitiated.
    3
  22997. Superb
    3
  22998. The last sentence is exactly what I think is the main problem of a lot of classes at school and university: they focus on grades, sucking away the joy from learning itself. Even a videogame that you would normally love could become a thing you hate in this way unfortunately...
    3
  22999. Is that a chullo????? Greetings from Peru!!
    3
  23000. Great video! Any suggestions book for PDE?
    3
  23001. 🤣🤣🤣🤣"This is calculus 7"
    3
  23002. I have a math exam a day after tomorrow, and I need to cram things out. This was helpful, gave me more motivation and made math less intimadating. Thank you for this!
    3
  23003. I have the entire Middle School series. I teach 7th grade Math and these are great resources.
    3
  23004. I feel you, although how should intuition be built otherwise?
    3
  23005. Chris Choir I respectfully disagree. Solving problems is necessary to gain intuition about the concepts and theorems and hence how to solve other problems. I suppose you could get by just knowing the theory but most students don’t learn like that. They need to see the concepts applied to specific problems and start doing it themselves before they fully understand how it all works in general or when it would be useful. You say that knowing what is possible is better than knowing how to do it but I would argue the two go hand in hand. For example, let’s say I’m trying to solve a complicated integral on a computational program, such as Mathematica. You might be able to figure out the right symbolic approach to take to get an analytic solution but this requires intuition that comes with experience. Simply knowing what methods you could theoretically use is not enough because there is some creativity involved or familiarity with similar problems you solved in the past. Often times Mathematica or any other sophisticated math program can find the solution for you but this is not always the case. Sometimes they fail to find a solution or are simply wrong. Sometimes you got to give it a little nudge to arrive at a decent solution by giving it the method to use or even create your own from scratch. That’s why you should have at least some understanding of what’s going on under the hood, so to speak, so you aren’t completely lost when technology fails. The same thing goes for finding a numerical solution as well. Those are usually not the type of problems you will do by hand but if you don’t have some intuition from solving similar problems, it can be difficult to figure out what numerical method you should use.
    3
  23006. Thanks bro
    3
  23007. Purchased! (6th edition, $12.00!) Thank you so much!
    3
  23008. greaaaaaaaaaaaaaat
    3
  23009. Thanks man you really helped me a lot
    3
  23010. I'm not even taking dif eq anymore. I just miss the in-person energy or a real lecture instead of zoom.
    3
  23011.  @TheMathSorcerer  I want a book which delves into measure theory also.
    3
  23012. There is one for Arithmetics and one for Algebra from Baldor also. I have the 3. Cool stuff.
    3
  23013. 😂❤😂 I really appreciate your concern but that is high school math...
    3
  23014. No, not Jeff Bezos.
    3
  23015. I have been thinking that, swear to god.
    3
  23016. It’s hard to find good math teachers. If one isn’t available, you need to teach yourself, that’s a huge time commitment that’s more or less bypassed with a good teacher. What’s missing? Calculus is essentially being able to define the space under a curve/series of curves. No math teacher explains the symbology in English. They need to touch each symbol and number in the equation and say the words out loud. “In this equation we are... calculating......this symbol is a/an...when we say integrating we mean...” usually the instructor just launches into written solutions=all the algebra without addressing the overall point of what the equation is there for/what we’re using it to do.
    3
  23017. "I don't know how to do most of the hw either" Goodness gracious, i so happened to get the one proffessor who has the textbook and its contents memorized by the letters and fonts of each chapter and seems bewildered when we don't get it.
    3
  23018. My physics teacher says that math is a language to write physics equations...you have to learn concept not language.... :(
    3
  23019. I’m taking Calc BC right now in high school. Could you recommend any books to help me understand the material in a much more in depth way?
    3
  23020. LoL, I love the smell test 😁
    3
  23021. I found you through Udemy and I freeking love it
    3
  23022. tropical storm
    3
  23023. Saved my life....not actually...but really good work man! The society looks up to you.
    3
  23024. Very encouraging, thanks
    3
  23025. Love from INDIA ❤
    3
  23026. I like this transition into an influencer helping with mindset and everything. And I'm happy your channel has been growing well.
    3
  23027. you closer to correct, hope you took time to see my comment tell me what you think
    3
  23028. You are great:-))
    3
  23029. Happy for you!
    3
  23030. Thanks! I really needed this right now going into exams
    3
  23031. thanks I needed this and i was confuse as zoom class makes it harder to learn
    3
  23032. "maa" is the abbreviation of the Mathematical Association of America, so I'm wondering if that pun was intended. LOL!! Kinda like a bow to that organization.
    3
  23033.  @gmcenroe  Do you think it would be a good book for beginners? As in, pre-highschool level chemistry? Perhapps for a middle schooler trying to get ahead?
    3
  23034.  @brandonbennett4970  It could be
    3
  23035. Its dope...
    3
  23036. ive been feeling pretty down in the last couple of hours or so. working on a pset for real analysis thats due at midnight, and this problem about convex functions is really kicking my ass. havent been able to prove anything. i really needed this video
    3
  23037. Great video with advice that applies to many things, not just Mathematics.
    3
  23038. Great advice!
    3
  23039. Terrifying at the first sight, it's a nice problem.
    3
  23040. I think I failed my math class 😔
    3
  23041. My recommended curriculum: Arithmetic, Geometry, Algebra, Trigonometry/Pre-calculus, Calculus, ...
    3
  23042. The Seven Liberal Arts & Sciences: The Trivium - Grammar, Logic & Rhetoric. The Quadrivium - Arithmetic, Geometry, Music & Astronomy.
    3
  23043. Great video
    3
  23044. I think it is wonderful that you review "higher level" mathematics. But, could you take a look at very old books on archive.org, from the XVIII and XIX century (or earlier)? You show some awesome good old books, but we would both learn about where "the really old ones" studied mathematics (and they are not available for sale due rarity). There is no copyright problems in this case, so you could even share the book with everyone.
    3
  23045. Amazing, thank you so much!
    3
  23046. This is definitely one of the greatest channels on Youtube
    3
  23047. There is a differential equations book called "Differential Equations and Linear Algebra" by Furlow. I get as excited about Furlow as he does when he presents this book. It covers differential equations and systems of differential equations organized into matrices. Its very easy to read and excellent for learning differential equations. If you are trying to review good books for students being introduced to DE, it's and excellent book. He has reviewed so many excellent DE books so he may not review it. Furlow has better topics then Zill and is a better read then Boyce/Diprima.
    3
  23048. Publishers of most college textbooks issue instructor's manuals to professors who use their books. These manuals usually contain all solutions to the problems of the main texts. Is it possible for those who self-study math or whatever to buy these instructor's manuals from second hand booksellers? Or is it prohibited by law to do so in the US?
    3
  23049. Never imagined that a newton like looking guy will teach me how to understand maths
    3
  23050. First
    3
  23051. Examples but also counterexamples. Counterexamples tell people what's wrong if some restrictions are lifted. For example, for a positive function f on R and the integral from 0 to infinity converges, normally one would think, well, f converges to 0 then , or at least it is bounded. But the answer is no. It can be unbounded. (For a concrete example, take f=x/(1+x^6*sin^2(x))) for x >= 0 and check it out!) Keep considering counterexamples prevents math people from being mentally lazy.
    3
  23052. I'm doing a problem where I've got to solve L{ cos ( πt+(7/2)π ) } as a step in the process and I scrolled through the playlist and I don't believe I see you covering the situation where we add or subtract in a trig function. It likely won't be out by the time I'd need it by, but could you touch on them to save next semester's laplac-ical butts?
    3
  23053. Definitely gonna pick up this book. Thanks!
    3
  23054. I am on the "books should have the answers in the back" side. It's your personal responsibility to have the self discipline to not peek in the back; and the people that do have the grit to do it on their own should be able to check if they did it right. Or, as that South Park episode with Randy's drinking problem said, "true deesplainwin come from within"
    3
  23055. Wait a second... there is a finish?!? :D
    3
  23056. Thanks sir
    3
  23057. Thanks
    3
  23058. These videos are really cool! Thank you for posting them! I haven't even taken this course in college but it's interesting!
    3
  23059. For best results, I always watch videos twice or three times. First time, I give my attention to tutorial, NO notetaking, NO pausing or rewinding the video. Just my intense attention. Tea break. Second time, I repeat watching the video and pay attention, sometimes no notetaking, no pausing, no rewinding. Tea break. Third time, I watch video again and do notetaking, while pausing or skipping parts of video.
    3
  23060. Thank you so much Feels like something i needed to hear.❤
    3
  23061. The only constant in life is: "change." So said Heraclitus. Good luck in your new endeavor, Math Sorcerer.
    3
  23062. you getting them gains my boy 💪
    3
  23063. I use a pen too great vid as always
    3
  23064. Math Wizard, you need a hobby…
    3
  23065. Amazing✌️
    3
  23066. Like for the parrot.
    3
  23067. The abstraction required is too much for a child's literal (but imaginative) mind and quite often presented before that mind is ready. Piaget's theory of cognitive development backs this up, demanding that more concrete real world content be explored. Steiner Education also recognises this peril of introducing abstract concepts too early. It is so sad kids often decide they are "crap" at maths because they are introduced key concepts too early. I agree whole heartedly! Why? Because, like you the same thing happened to me! When algebra was introduced, I was like "why are there letters instead of numbers WTF!!!???". Later did Calc 1 and 2 and Euclidean and Non Euclidean Geometry and some Discrete Math etc.....Not a genius....but with TIME was able to do it! PERSEVERENCE is the order of the day!
    3
  23068. Ahh The most powerful type of magic Mathemagic And you my friend are my sensei (especially when I have to cram for test tomorrow )
    3
  23069. This is so true, I remember seeing a famous IMO coach say that when he was preparing a student to do well on the USAMO, he said that he was rooting for the student to succeed, but it might be better for his future if he fails this test. At first I was really confused but as he goes on about it I started understanding what he meant. All in all the talk is very good
    3
  23070. https://youtu.be/cVlR-5hS6f4
    3
  23071. First !
    3
  23072. In the last few minutes of the class, your quick description of the difference quotient and the derivative was brilliant.
    3
  23073. These are amazing books. My favorite when it comes to computer science books.
    3
  23074. Thank you very much! This books looks awesome. The price, today is too high for me, U$45,00 book+taxes, but I'll keep my eyes open and asap I'll buy a copy.
    3
  23075. Im late but I found this book online wuth google.
    3
  23076. I think this choice to be happy can be true for some people and for some periods in life. But remember that for those suffering from deep depression there is often not a choice to fully erase that depression. In order to choose to be happy we must have the psychological ability to do so. I think a recognition that some people have that barrier helps. Other than that another great sincere video ❣️
    3
  23077. This video is attracting two groups of people that share only a modest overlap: advanced mathematicians, and people into book binding.
    3
  23078. Hello sir, do you think work hard in math will really help or u must be gifted and genius
    3
  23079. I do that. I read one line 30 times
    3
  23080. Sir ,please suggest a best book for real analysis
    3
  23081. Purchased
    3
  23082.  @joachimbramson1991  Like I said, it is entirely possible that the test was inaccurate. We will never know, but the point is that IQ is not the only thing that goes into becoming a theoretical astrophysicist. Like he said in the video, it’s more about hard work and dedication. Now to be fair, I do think to some extent you will need an IQ of at least 115 to become a THEORETICAL physicist or astrophysicist, and maybe like a 120 to become a “brilliant” one. I have Aspergers as well, so that is why I estimate my IQ at 121.
    3
  23083. My teachers always say that after practicing and doing 1000 exercises you begin to understand it better hahaha It's a matter of dedicating the necessary time On Monday I had an exam, I was the night before and that same day explaining certain concepts to my classmates, everything was very clear at the time of explaining to others how all this works, later in the exam, I did that problem wrong, I don't know what happened, but at that moment I didn't think correctly and made a silly mistake lmao However, my explanation was correct, and my classmates did it well, being able to explain and teach concepts to others, helps a lot in addition to knowing the theory and practice
    3
  23084. I appreciate how you explained this concept
    3
  23085. When you covered AoCP (Knuth, D.) I asked for this be reviewed. Thank you so much. For if nothing but the parsing techniques alone no CS graduate escapes seeing it, or a career without needing to reach out to it.
    3
  23086. it's clear, it is clear, it is clear, why do u solve a clear problem ??? Actually, u repeated the clear thing :) same as books
    3
  23087. That's me and induction. Can't wait for it to click!
    3
  23088. ax² + bx + c = 0 In order to make the derivation as short as possible, don't divide throughout by a. Instead, multiply throughout by 4a: 4a²x² + 4abx + 4ac = 0 (2ax + b)² + 4ac - b² = 0 (2ax + b)² = b² - 4ac 2ax + b = ±√(b² - 4ac) 2ax = -b ±√(b² - 4ac) x = [-b ±√(b² - 4ac)]/(2a) This method is thanks to your video https://www.youtube.com/watch?v=EDUpeyLTIkc which references the book 'Elements of Algebra - William J. Milne' I'm fairly sure this method makes the derivation a lot quicker to write.
    3
  23089. Thanks for this! Something that I noticed about myself is that I tire out much quicker if i have some source of stress in my life. The reason for this, as far as I understand, is that the prefrontal cortex, the part of our brain that is the most energy-consuming and responsible for logical thinking and future-planning (which is from an evolutionary perspective the newest part of our brain), is the first thing that gets put into power-saving-mode if there is some sort of stress on a person. That's why people who suffer from severe depression behave so strangely and sometimes opposite to their usual character, it's because their brain is in power-saving-mode. It's also why people in a panic lose all ability to think rationally. So, what I foud out works for me best, especially in these troubled times, is to just not read newspapers. Honestly, not knowing what's going on in the world at every moment is a small price to pay if in exchange I get to concentrate ten times longer. Also I try to keep away from social drama with friends and family as much as possible.
    3
  23090. brasileiro também? are you a brazilian guy too?
    3
  23091. i can feel his eyes staring deep into my soul
    3
  23092. my ass actually hurts from watching this
    3
  23093. People like math for the same reason I like running: It's painful, it's brutal, it's boring, but it makes you feel good about yourself i guess. (I hate math btw, but I can see where people are coming from that like it).
    3
  23094. bro has been using those books in more ways than one, look at those gains
    3
  23095. Sir you don't know what a big problem you have solved by just saying ...we need to take derevative of r vector to find velocity vector... I was in confusion since 2 days ... Thanks a lot 🙏🙏
    3
  23096. Thank you so much for your wonderful videos. Ever since 2020 I've been learning and you make very helpful videos that engage the mind. I'm 20 and I love Learning 😂. Ever since I was 16 I studied Khan Academy and wrote summaries for Economics and Physics. As of 2024 I'm learning Calculus 2 for the first time. You inspire me, and for that I say thank you ❤❤🎉
    3
  23097. Math Sorcerer goes all Film noir!
    3
  23098. I always wonder how committed I should be to a particular study. Should I focus on a single equation? Should I focus on a single study? Should I only study mathematics or should I study other subjects?
    3
  23099. first ; so am i maths nerd (*
    3
  23100. What's really cool is taking the derivative of the infinite sums defining e^x, sin(x), cos(x), etc... It just works!!
    3
  23101. And the day of realisation your superpower you are who you really ment to be ❤🎉🎉 thats great 😃 thank you
    3
  23102. Video was helpful
    3
  23103. You made me buy another book! XD
    3
  23104. Your words are healing. Thank you!
    3
  23105. Awesome thank you!
    3
  23106. Bonus points for finding where that derivative is continuous.
    3
  23107. Thank you tons for the explanation! loved the people's hats ^-^
    3
  23108. I gave up on maths in 1989, we've been divorced since .. I've never felt so good.
    3
  23109. I think what makes calculus II the most difficult is how many different unrelated things there are to learn. It feels like they are cramming in everything you are going to need to know for Calculus III with some integrals and series attached. Also for a lot of people it is the first time they do math problems that are more "open ended" so-to-speak. For example, given an integral, you don't know whether or not you should do u-sub, trig sub, or product rule, etc, by just looking at it (without a lot of practice). You have to just try stuff and goof around.
    3
  23110. South Park taught me to blame all my problems on Kathleen Kennedy.
    3
  23111. Thank you so so much. I can’t really say how much I needed this kind of structure for having a really strong foundation for math. This video came just at the right moment for me!
    3
  23112. Thanks for sharing.
    3
  23113. 😎😎😎😎🙏🙏🙏🙏🙏🙏
    3
  23114. Amazing math book! I got the eBook absolutely for free - just Google. As always I really appreciate the videos, to the person reading comment: be thankful for every that you can learn something new!
    3
  23115. You have reviewed so many linear algebra I don't know which one to choose
    3
  23116.  @TheMathSorcerer  thanks!
    3
  23117. thats so interesting and i will try this thanks!
    3
  23118. Great explanation !!!
    3
  23119. If I were this guy I would look at what research you want to do and go look the professors up and see what they are doing.
    3
  23120. Proff requesting if you can make more videos on mathematical statistics.
    3
  23121. Thank you sir. Really useful video.
    3
  23122. Your vids have been absolute bangers recently!! Keep going srsly,we need more of this!!
    3
  23123. You are ignoring AI very sad. Not a true scholar.
    3
  23124. I just stumbled upon you channel. Holy cow where were you my whole life? I'm 65 years old and been afraid of math since, "new math" in 8th grade, when my dad, a college graduate, was in Vietnam for that year, and couldn't help me. Any way, I'm in my 3rd-4th year of an online degree with Colorado State Global, in Business Management which requires 2 Statistics courses. Although College Algebra, and Business Calc aren't required for my program, I think the stat courses need the background to do well in them. So it's refreshing to see your encouragement. I am a subscriber. Thank you. I've looked at Kahn Academy and it really didn't resonate with me. You seem to connect so far. Wish me luck. Jeff, Colorado Springs, CO.
    3
  23125. Very nice content brother 👍🏻
    3
  23126. May I know your email?
    3
  23127. Amazing video
    3
  23128. Just an observation, but on Amazon many of the next suggested items or customers also viewed suggestions are books in the order you list in this video, so enough people have viewed and looked for these books that you've changed the market algorithm. Pretty cool.
    3
  23129. Omfg the second part got me. My calc Professor last sem was almost exactly like that. He would always include questions that required theorems that we talked about once in class and pretty much never used on the homework’s. I knew someone who left basically half the first exam blank and dropped the course immeadiately after. And he had already taken the class before in HS. His curve was massive. Also, my Prof’s grade distribution was also nuts. 90% exams, 10% homework. The final was worth 36% of my grade. And my professor was nice. I knew someone with a professor that had homework that was “good to do”.
    3
  23130. Math makes me see the world in equations. We are literally living in the Matrix of mathematical equations.
    3
  23131. Thanks a ton !🙏
    3
  23132. Interesting.
    3
  23133. What is "perfection" anyways? Was cantor, the man who was in and out of asylums throughout his life, going insane over proving the well ordering principle, perfect? He in fact was the key founder, since he worked on foundations, of modern mathematics.
    3
  23134. I owe you my diffy q grade my good sir 🤝
    3
  23135. I'd never heard that maths was elitist. At least, not more than other academic disciplines. This seems to me like yet another example of SJWs looking for elitists/patriarchs/racists/imperialists under every rock. In a way I think maths is safe from a lot of the political nonsense you get in other subjects. In something more subjective like history, or maybe even science, you get rival schools of thought: people make competing conjectures about the questions they're studying. And even if there's a lot of evidence against your pet theory, you may still manage to cling on to a few diehard supporters. But a mathematician wouldn't risk getting into that position, because there's always the possibility that someone will prove, beyond a shadow of a doubt, that they are wrong. And they can make conjectures, but that's not where most of their brownie points come from. It's all about the proofs, and then there's no room for argument.
    3
  23136. Thank you. Your videos are awesome.
    3
  23137. That's the standard notation. If you want to use the other notation you should use the backlash though C\{0}
    3
  23138. I felt exactly the same :)
    3
  23139. Hi, very interesting video. Please, more videos about mathematicians' bios. Greetings from Colombia 🇨🇴.
    3
  23140. Love U men! Really really thank you! I needed to hear that!
    3
  23141. 2:21 😂👍😅😅😅 And even then their will be a exercises which never got educated😅
    3
  23142. that did not just make sense. that was way better than what i expected
    3
  23143. If only I can remember the formula of slope as ‘rise over run’ 😂 Nice creativity btw!
    3
  23144. Wow🤩 !!! This is incredible ! I really love such old books ! I liked your content , subscribed 😉💕
    3
  23145. Thanks
    3
  23146. Imagine if Jeff Bezos actually sees this video! He's really interactive, so I wont be surprised xD
    3
  23147. When you say to the first power u dont mean first derivative right?
    3
  23148. I suggest everyone listen to the former bourbaki members conversations on YT, i.e. Jean-Pierre Serre, Jacques Dixmier, Pierre Cartier and Alain Connes, even if you don't understand anything about the content it rings like poetry to any math loving ear :)
    3
  23149. Ooh good proof Not very intuitive or obvious
    3
  23150. could you make a playlist for these types of videos
    3
  23151. Maybe you can answer it here, or make a video (maybe you even already have one), but I have kind of specific problem. I’m taking precalc and trig now. When I’m in class, especially in precalc, I am constantly shouting out answers (often the only one), I keep up with the professor and sometimes even beat him to the punch. I’m not exactly that good at trig in class, but I keep up. The issue is that when I start doing my precalc work on my own, I have much more difficulty remembering the steps, contrary to trig, even though I’m better in class at precalc. Not sure if it makes much sense, but is there any advice you or the comments could give on this? TLDR; I do excellent in precalc while the lesson is being taught, but start to fail when I’m left alone, but the opposite is for trig, I do worse in class but when I get home it’s easier for me to follow my notes and steps.
    3
  23152. Just saw this... the instructor showed that there is at least one vector contained in the intersection - i.e. the zero vector. If that is the only vector in the intersection, then the operations still apply (0) + (0) = 0 and any scalar (a) times zero is still in the intersection, a(0)=0. Therefore the requirements for the intersection to be a subspace holds.
    3
  23153. this is exactly content like cengage book ( indian book) of clas 11th and 12th ,, this is not loo like college book ,, this is like high school level book of india
    3
  23154. A Nice book ! Feels like beautifully taken notes.
    3
  23155. That's the motivation what I need 😇.
    3
  23156. superpositions sucks this comment is made by variation of parameter gang
    3
  23157. I need to send you one of my linear tests, them things were like 8 pages front and back
    3
  23158. It's published in 1986 in Russia, i.e. last years of USSR. this is not a common text, I haven't seen this before, i.e. it wasn't commonly used in education or by students. just an odd little book.
    3
  23159. me: I'm pumped up, I'll start right away. me looking for books: I guess I need to save first.
    3
  23160. People wouldn't ask what the quadratic equation is for if they really understood it, instead of memorizing two formulas for it.
    3
  23161. How did you find the probability class when you were first introduced to it? It's been kind of challenging for me!
    3
  23162. LOL!
    3
  23163. Absolutely right
    3
  23164. thanks a lot sir
    3
  23165. I love some LoL. Would be fun to play together! I’m high Gold division, but I am leveling a smurf account at the moment.
    3
  23166. hello Sir Alex Ferguson...have a nice day
    3
  23167. Wow. Any idea on how function graphs were made back then in those books?
    3
  23168. I study math and have always been insecure about having muscles. Support from me !
    3
  23169. Thanks Isaac Newton
    3
  23170. Thank you so much for this video. I’m struggling learning line integrals over vector fields and I have a final this week and it’s making me feel really dumb. So thanks! I appreciate this!
    3
  23171. I really enjoy the growth mindset that you have fostered in yourself and which is clear that you espouse to your students. Thanks Sorc
    3
  23172. Thank you so much. This comforts me.
    3
  23173. Yes some can but to actually get to the real deal to attain the PE and to be able to run a company a person needs the degree so they can take the test for the licensure. And the major has to be ABET accredited. I do not believe the licensure board will all a person to receive a license without proven competence in the curriculum area side of things. This is just how everything is regulated. Anything a person does to be hired in the person has to have it documented. A degree along with the internship and or co op is the actually only way to open the door.
    3
  23174. Man great thanks , my f**Kn instructor does't say nothing on this
    3
  23175. XLNT!!
    3
  23176. Awesome first. I've always wondered what the would look like if the emphasis was placed on teaching students to the highest possible level as opposed to running them through the ringer. Maybe I'm just getting old 😞.
    3
  23177. Man, that's a GREAT tip, for any major or minor, not just math. But, when you've talked about "study groups", an idea came up with me: Could you give some tips on how to make a study group? If we need to make a seminar on a book or just study the exercises, when joining together, or we need to do something diferent. I would love to know your experience and hints about this part of university
    3
  23178. I am CS student who like to read alot of mathematics books than coding
    3
  23179. jeff bezos in parallel universe
    3
  23180. Yet another great vid as always
    3
  23181. Wow nice book :)
    3
  23182. Is this different than the one that he has it’s called calculus on manifolds
    3
  23183. Oh my god, finally im able to get this! Thank you sooo much!😍
    3
  23184. In India we do these kind of problems just after we learn differentiation
    3
  23185. Im having trouble learning math and I would remind myself that Im dumb and I almost 'bout to give up
    3
  23186. So true, those Rust bros are like crazy it is the new cult
    3
  23187. my dad was a high-studied person. He's most likely known by everyone. So he forced me to do advanced maths of grade one, i couldn't do it, all my father did was chewing my ears off. Elementary school was the worst to me, i started to focus on math in grade seven, and i found some interest in maths, but i can only do decent ones and not the advanced, i am interested in physics too, im signing up for a gifted class for physics and i might study more later on. Thank you for the video
    3
  23188. That was clutch 👍🏻👍🏻👍🏻
    3
  23189. Hey. Can you review books by Art of Problem Solving, maybe by just checking the PDF of the books(from Libgen or something). There are 12, mainly 2 for competitive exams. They are for Middle- High School Students. Thank You.
    3
  23190. Guys, Isaac Newton is talkin facts
    3
  23191. Marvellous proofs awesome very clear explanation !!!
    3
  23192. You're a SUCH better teacher than my diff e prof was. Respect. I had to argue with him in his office about a Wronskian problem that was mis-graded on the final. lol
    3
  23193. Can I read these books while in my second year of college?
    3
  23194. I'm really wondering if anyone has the analysis book: A friendly introduction to analysis (By Kosmala). In Holland we cover the whole book and some extra in the first year of a undergrad study (not math but actuarial science). I'm really wondering in what year you supposed to study that book. I think it's too hard for first year students
    3
  23195. Thanks
    3
  23196. Great video !!!!
    3
  23197. alien is here my boy ....:face-purple-crying::face-purple-crying::face-purple-crying::face-purple-crying:
    3
  23198. So cool!
    3
  23199. Thank you so much
    3
  23200. Thanks for sharing!
    3
  23201. Thanks man❤️
    3
  23202. Super well explained. Thank you.
    3
  23203. Works one problem "Now I'll leave you with my graduate assistant for the next hour and forty-five minutes"
    3
  23204. In which program do you make these videos?
    3
  23205. I think more important is purpose and live experience, you need fuel to keep the engine running
    3
  23206. Who laughed when he started drawing the people 😂 🤣
    3
  23207. Nice video Edit:- as usual :)
    3
  23208.  @TheMathSorcerer  thanks for reply sir:)
    3
  23209. Agree. For teaching it helps alot, my main lecturers were Russian and Chinese, with heavy accents - made it very challenging.
    3
  23210. I bought a used 7th edition of this book for the '05-'06 academic year.
    3
  23211. How can we derive tht formula?
    3
  23212. π-DAY super easy. Just draw a triangle with the tangent line and that gives u the slope f’(xn), Which is rise over run , = f(xn)/(xn-xn+1). Solve for xn+1. Good luck
    3
  23213. Starting my master's in maths this session, wish me luck
    3
  23214. Thanks
    3
  23215. Hello! Mr. "Bad-at-Math" here. Did all what you said and wrote actually mean anything? I only saw adn heard hieroglyphs and word-sallad.
    3
  23216. My favourite was the red one with the golden graph engraved in the cover. I guess beauty is in the eye of the beholder. By the way, a book you might really like, both for appearance and content, is "Modern Mathematics in the Light of the Fields Medals", by Michael Monastyrsky.
    3
  23217. Thanks for the books math sorcer im excited to go on my math journey
    3
  23218. Darn. I bought the 1st edition right before the 2nd came out.
    3
  23219. Excellent work. Please share the link for one complete video (full course) for calculus 2
    3
  23220.  @TheMathSorcerer  Excellent video.
    3
  23221. not every school makes you do it. i picked geology for my extra science which is one of the least mathy sciences
    3
  23222. You know I had a class last semester that was the worst grade I’ve ever gotten, but funnily enough it was the most I think I’ve learned in a class.
    3
  23223. This was perfect and explained exactly what I needed in a manner I could understand. Thank you so much!
    3
  23224. I watched out this video to prove myself that I can understand english, I'M ABLE TO !!!! I LEARNT ENGLISH FOR 3 MONTH, I'm a french native speaker, I'm a teen girl. I'm so happyyy. I've been learning 4 languages as well. So I'm almost a polyglot at 16 years old. And your mathematics tips are very interesting and easy to get, and I didn't hate mathematics I just think that school doesn't learn us the good way and the right bases, I think I'll try it when I could finish to learn Japanese and Arabic ! I wish that everyone will reach on their dreams and I hope for each stranger here to be happy and to have a good life !💖💫
    3
  23225. Please review "Mathematical Analysis" by Bermant & Aramanovich. Thank you.
    3
  23226. my biggest is starting math again just now and actually wanting it, spending months going over stuff that kids know better than me and just going up the ladder. I think its not much but any progress is good progress right ?
    3
  23227. I know this just seemed like a random book review but I felt compelled to comment. IHO, this is the best pre-calc. book there is out there, in terms of didacticizm (good-teaching), and how I know, is that I researched for such a pre-calc. book, because I wanted a good reference for trig. and stuff. Because even though I'm an EE major, and I've been through it all (differential equations, calculus etc.) I realized that owing to the education system's flaw, it is possible to know how to, say, do integration by parts, or other higher computational things, which are considered higher math, but all the while not actually being completely well versed in what is considered lower math (pre-calc.). The system makes us gloss over so much superficially, in the name of only teaching the practical stuff, that you end up learning things without knowing where they came from. You have to do that to a degree, to actually learn things, because the topics just don't end in math and science, so this isn't entirely a very bad approach, but I believe it is just over-done, in the current education system. Maybe it's so inevitable, that it's not even the system's fault, who knows... So through my research, I found this book to be the best in terms of range of topics, and more importantly, in terms of clear explanations. Also it had sufficient practice problems. So I purchased an old edition which was within my reach, and I'm happy that I did. I would be open to have my mind changed with another book being proposed, to best this one in the specific attributes I specified, but mainly, I wanted to impart this experience of mine, in case it benefits anyone, thanks...
    3
  23228. Sir, is there Cal 2 Full Lecture? Is your Cal2 in Udemy course include full classroom lecture like this?
    3
  23229. Very simple, back in the days when I was in 10th standard these all identities bounce off my head😜
    3
  23230. I want to start learning statistics or calculus I
    3
  23231. Thanks sir
    3
  23232. @0:46 advice for life, not just maths
    3
  23233. يرجئ اضافة ترجمة الغة العربية
    3
  23234. Congrats, thank for for ur math videos, helped me a lot
    3
  23235. If you multiply by e⁻ˣ it will work. But you will end up with -2arctan(e⁻ˣ) + c So as you see you can have 2 answers, so your video is correct and also incorrect ;)
    3
  23236. algebra baldor and the bible are probably the most well known books in mexico and i'm only half joking
    3
  23237. I appreciate your wisdom and videos
    3
  23238. You are doing great work ! Keep it up !
    3
  23239. Nice old book ... thank you for sharing!
    3
  23240. Apparently, the Imposter Syndrome phenomenon is common among medical students.
    3
  23241. Thanks for this one Mr. Sorcerer
    3
  23242. I like the new blue thumbnails
    3
  23243. Sir ... I have been following u long since... I remember u did review of synopsis of elementary results in pure mathematics ... Here on channel ... Sir I bought both the volumes (1 and 2) sir plz check... The topics from 1293 to 1399 are missing... I also downloaded the pdf (the old book) in that too it was missing.. plz check sir .... Thanks in advance...🙏
    3
  23244. Wow thank you, I have not yet learned the 3D coordinate system well, and your videos really help sir!
    3
  23245. Nice to see this book discussed in a video. I inherited this book from my grandfather and it seems to be a scarce book.
    3
  23246. "here's one you've probably never heard of...." OK, math hipster! 🤣
    3
  23247. y'all does anyone know if he's answering viewer questions now?
    3
  23248. Proud of you, man. I'm giving away most of my books too, but not my math books. Since I've been using a Kindle for a few years now, I thought if I'm not using them, somebody who will use them should have them. There's no point in having books just for decoration.
    3
  23249. You struck me as the type of person who had always been interested in math, so this came as a surprise. I got into math out of necessity, curiosity, and challenge. I was always awful at math and all of my teachers gave up on me until I met one who showed me I could do anything I wanted when I was a freshman. After her geometry class, I taught myself algebra in the summer and things took off from there. I knew if I wanted to be a scientist and have an impact like my childhood hero Carl Sagan, I would have to get good with math. Plus, the more math I took the more interesting it became. Hence the challenge, necessity, and curiosity I mentioned.
    3
  23250. Thanks professor, from Paraguay!
    3
  23251. Fantastic video!
    3
  23252. Wow thank you for reading through it. I’m actually going to get this book. Ps I just noticed your udemy course I’ll check them out
    3
  23253. auto like
    3
  23254. Bruh. I took 5 hours on a normal calculus 2 test for the techniques of integration alone
    3
  23255. That bird besides you is getting confuse 😂
    3
  23256. This guy's a genius
    3
  23257. That's soooo cool!!!
    3
  23258. What helps me to read math books is following: 1.) don't focus on just one book, should have 2 or 3 good books for every subject. Sometimes style of explanation of particular subject/theorem from one book better match my way of understanding than from the other 2.) take a break after ~3 hours (actually when I feel I am losing sharpness and things are starting to mix up a bit in my mind) 3.) don't put a pressure on myself (no strict deadlines, no milestones etc.), just making sure I am really giving it a try 4.) be persistent on daily level (don't skip days (maybe 1 in 10 or so)) Maybe some more, but those are main ones
    3
  23259. took calc 2 this semester and ending up getting a 71% curved (64 raw) on the midterm and ended up getting a 93% on the final thanks to the tutoring center on campus, couldn't recommend them enough to people, especially since most universities have them and are free
    3
  23260. Thank you sir for having this talk. Like from 🇮🇳 india
    3
  23261. Math is cool, but i dont understand it. I have knowledge in basic math, but i dont know what book shall i read next to enhance my knowledge and be able to solve complex math.
    3
  23262. This is 100% correct
    3
  23263. The Moroccan educational system is so garbage we actually learn things like set theory , calculus and complex numbers at 16y.o or 17
    3
  23264. You are a very good teacher. May I ask what you do for a living other than just making math videos for YouTube? Don't answer if you don't want to, I'll respect your decision, but to me you seem like someone with a PhD in math who does research. Btw you are really cool.
    3
  23265. Wait....MTG coasters????? I knew there was a reason I liked your channel.
    3
  23266. The sine function is a periodic function that equals 0 at integral multiples of pi. The cosine function is 90 degrees out of phase with the sine function. Source: An EE degree I obtained a long time ago.
    3
  23267. love the videos they have been super helpful much appreciated
    3
  23268. I’m a little confused looking at the table of contents. Sets are presented after induction, which doesn’t make sense to me, as you need the well ordering principle for induction
    3
  23269. uff absolute masterpiece, y'all i got 49/50 ,thank you so much sir
    3
  23270. today the sorcerer teach me an important lesson. thnx
    3
  23271. Thank You So Much Sir ☺️
    3
  23272. Composition of three functions dy/dθ= 2 tan(sinθ) *sec^2 (sin θ)*cos(θ)
    3
  23273. You checked out Calculus by Kline, huh? Its pretty good!
    3
  23274. Thank u 🥰
    3
  23275. I’m a master of high school math!! I’m probably didn’t learn the value of hard work in math. It’s what I’m talented at.
    3
  23276. Thank you so much
    3
  23277. Hugely popular book Learned a lot from it
    3
  23278. Wait, you're not a native speaker???
    3
  23279. Look at his eyes🙄he didn't blinked even a single time. So strange
    3
  23280. Hola
    3
  23281. This is going to be very helpful to me.
    3
  23282. I failed my differential equations class and I have a retake exam next week. I've always been good at calculus. I got an A+ all the way through calc 1-4. but I'm really struggling with differential equations. Lol funny thing is. Most of my friends passed differential equations and failed mathematical analysis and I failed differential equations and passed mathematical analysis with an 8. I do better on more theory focused classes
    3
  23283. I think you should choose your college degree based on what you like. Even if you choose a completely theoretical subject such as yours, if you like what you are doing and are good at it (just like you haha) then there will be opportunities offered to you and maybe you'll be able to make lots of money. Now the problem with that is maybe after your degree you see that this was not what you like and now you're stuck with a degree that doesn't offer you a lot of job opportunities and you're kinda stuck. In that case you should have gone for the "money degree". This last one will always be a safer choice but maybe you won't like that much what you're doing for a living, which sucks.
    3
  23284. I thought a logarithm can't be equal to a negative value
    3
  23285. Yes that is correct.
    3
  23286. Lol so you do mind!
    3
  23287. You look exactly like Winston Churchill
    3
  23288. Doing Baby Rudin in one summer is fast! ;)
    3
  23289. Thanks from germany too
    3
  23290. Baller!
    3
  23291. Lol i just did this problem 2 days ago, in the introduction to number theiry
    3
  23292. >Old soviet book It's amazing how familiar it all looks.
    3
  23293. When I see jobs advertised for community college the pay is very low and much lower than a high school public school teacher. Also, high school teachers who have a master's degree, the degree is in mathematics education or education leadership. I've only known one that had a full fledged master's in mathematics. A lot of gym teachers teach lower level math classes algebra 1 and below, they don't know much more than their students.
    3
  23294. Do I need any mathematical background to understand this book?
    3
  23295. Like it ❤️❤️❤️
    3
  23296. Thank you sir
    3
  23297. Thanks bruh
    3
  23298. I think the best advice for everyone who wants to do anything is : "Just start with anything. stop asking more and more questions!"
    3
  23299. This guy is really a mystic
    3
  23300. My name is Larry, and yes, I am tall. I only took one year of Calculus, and I don't remember much.
    3
  23301. This video is awesome, I love it!!!
    3
  23302. I love your videos, keep making them I watch them all.....
    3
  23303. You’re absolutely right on this I learned over time of doing my homework quickly and correctly that when it came time for the test I was super ready and got it perfectly!
    3
  23304. Menudo crack
    3
  23305. What aboud medium and easy classes, what would the upper limit be? Where I live we take about 4/5/6 classes(some in non math course), however some are pretty easy, I will have 4, that's the minimum each semester, how do I know if I should take more? Btw, I feel blessed that I found your channel, really! Thanks for your content, I don't know how do you motivate yourself to upload this frequently but keep going on! Specially with the book review and tips to math classes videos!
    3
  23306. Do you have videos for the rest of Calculus 1?
    3
  23307. I underperformed at times due to poor preparation. I still have dreams of sitting down complacently to a maths exam which turns out to be completely alien to me.
    3
  23308. Thankyou for this
    3
  23309. Gracias, directo al punto
    3
  23310. Coffee makes me too hyped up to think carefully
    3
  23311. I hope in some day see your book And guess it will be brilliant book I don't know but I guess it will be about calculus because I saw you interested so much at calculus Good luck for you
    3
  23312. Excellent video! My story is similar. I slept through high school, and went to college five years after graduating. I probably did not remember that the square root of 2 times the square root of 2 was 2 when I started community college. I learned that tan wasn’t just a button on my calculator for the first time when I was 24. I’m now applying to grad programs in math. The title of your video is near and dear to my heart. The most important day of college for me so far was not the day I changed my major to math, rather it was the day that I decided I was going to try to get as good at math as I could. As always thank you, and well said sir!
    3
  23313. Wow Great!!!
    3
  23314. I don't do enough for sure lol
    3
  23315. I am doing exactly the same here, self-studying maths & physics. I am not in college. If you are majoring in English, check out two sites that you will love. Open Library and Internet Archive. If you are not from an English-speaking country, beware of distinctions between American English and British English.
    3
  23316. Thanks for showing us your books. Your damaged book can be repaired through a binder. I got my calculus book, (Swokowski), repaired. It cost me $65 CDN. The same repair could be done for $40 US and you can find a binder online. I had to search for one here.
    3
  23317. thank u professor 🧡
    3
  23318. I like your video, but I'm some what confused as to why you can just chose that delta equals "epsilon times the square root of c"?
    3
  23319. Thank you ✨
    3
  23320. Finally got
    3
  23321. ❌math❌ ✅spiritual awakening✅ People are not living life like is life they undergo
    3
  23322. I'm too old to go back to college now. I take all my courses online, usually via YouTube lectures, and I get no credit for anything as no one even knows I'm doing it but me. In any case, you first few suggestions simply wasn't possible when I attended college. You say to take good note. That much I most certainly did. However the idea of going over your notes after class was simply not possible. I simply didn't have the time. In part because I was also working my way through college so I had to go to work after class. And in part because the college wouldn't allow me to just take a single math course. In other words, I had other courses too, which actually got in the way of each other. As far as I'm concerned colleges are a joke because they actually get in the way of sound education and study. Finally, my suggestion to educational institutions. Why not arrange to have various different disciplines working in parallel? In addition to taking mathematics I was also taking physics and computer programming. (plus some other mandatory courses that I didn't even need to be bothered with) They just sucked up more time. In any case, what really upset me was that the math courses, the physics courses, and the computer programming courses were not in sync with each other. What would have helped considerably would be to have had the math and computer programming courses designed around the physic course so I could actually apply the math and computer programming to my physics problems. As it was, it was just a cesspool of confusion. What a waste of time! Did I learn something about physics, mathematics, and computer programming? Sure I did. But not nearly as much as I could have learned had they all been in concert with each other. It wasn't until I actually left college that I was later able to try to put it all together. But IMHO, that was actually too little, too late. I could have done so much more while in college if the educational institution would have had better coordination between their courses. End of rant. It just upset me because the suggestions you make simply weren't available. Time would simply not permit it. But it could have been so much better had the college had the brains to get the professors of different subjects all on the same page. That would have helped tremendously. The way it was, it was more like taking totally unrelated courses. I'll be forever ticked off. College was very close to being a waste of time. In fact, compared to what can be learned via online courses today the old style college is indeed a total waste of time. At least when choosing courses online you can search around to find courses that are compatible in terms of the ultimate topic. That's the key to great learning. Unfortunately it's very difficult, if not impossible, to actually get a degree that way. So to actually earn a degree, you don't have a lot of choice but to suffer through crappy academic disorganization. I'm not happy with academia, if you can't already tell. (Big Smile) By the way, I don't blame the professors. I had some great professors in physics, math, and computer programming. They just weren't coordinated with what each other was doing. No doubt, not their fault as the educational institution wasn't bright enough to even suggest that they should try.
    3
  23323. How hard is graduate mathematics for you at present ? I guess it much easier because you have read so many books of graduate level.
    3
  23324. Good thing my calc 1 professor didnt watch this video otherwise everyone would have made an F-
    3
  23325. I love your videos 😎 I discovered your channel few days ago and you bring up very interesting topics. Keep it up! PS. You remind me of Jeff Bezos but with hair.
    3
  23326. I tried hard to buy (download) “solution manual to buck’s advanced calculus “, but I can’t. please tell me (if you know) where can I buy or download this.
    3
  23327. Cool video!
    3
  23328. Congratulations for 1M/2 subscribers in advance
    3
  23329. Great lesson ...I will be more carefull next time
    3
  23330. "As is our true confidence, so is our capacity" [William Hazlit]
    3
  23331. Excellent and very helpful video. Thank you.
    3
  23332. nice
    3
  23333. We need to learn math from zero like blow high school, You allows give us college math level and there books but I a lot of us didn’t got solid education or never get any sort of education please we need a way to build our basic and sharp them in ideal way,
    3
  23334. Good morning sir ji
    3
  23335. very succinct, very helpful. thank you
    3
  23336. Gee Prof - I think I should really stick to Car Mechanics! Gee Prof - I just don't get it - Could you do this hard sum for me? Gee Prof - Your hair is an utter disaster! - Mullets are so 80s!
    3
  23337. MISTER, let me tell you. so i almost exclusively use pens for everything, the tactile feeling they have is just superior to pencils, the ink glides and the text is far more bold and legible. however, i recently used a pencil for the first time in 5 years and it's a Zebra 'Z- Grip plus'. I only use Zebra , so i was happy when i saw they had a very nice pencil, it has a little weight in it, a fine twist eraser at the top, and a very slight rubber feel that covers the whole pencil, let me tell you, this thing slaps! I actually enjoy using it
    3
  23338.  @peteaustin5018  I really like it how he explain things step by step with lots of visuals too. Another great book that Math Sorcerer recommended is called Transition to Advanced Mathematics by Chartrang and Zheng. Great proof book!
    3
  23339. I hope you get a million
    3
  23340. Look at that Gnarly cover. 3 great authors of multiple math books. Add with it, solutions. Looks like a nice math foundations text.
    3
  23341. Noice
    3
  23342. How can I improve my problem solving skills because I usually get stuck on all problems
    3
  23343. At 2:53 is very confusing l when changing the equal sign.I got it.It make sense to make a new inequality from the first sentence by normal inequality rule
    3
  23344. damn i was just sitting here really in that thinking mode again, so here we are
    3
  23345. Can you review end exercises in baby rudin. I find them really tough
    3
  23346. Do you feel pressured to read these books? The unread books that I have scream at me when I look at them on the shelf.
    3
  23347. this guy is so cool
    3
  23348. if you ever feel demotivated remember that isaac newton invented plenty of mathematical tools before he turned 30 gl
    3
  23349. ThankyouThankyouThankyouThankyou
    3
  23350. Gauss. But the story is apocryphal.
    3
  23351. Awesome teacher best teaching skills ! Thank you for saving us in math this semester-Your class
    3
  23352. Very clear and straight forward, thank you!!
    3
  23353. sqrt(9·x^2 + 3·x) – 3·x = sqrt(y^2 + y) – y, where y = 3·x. Letting x —> ∞ is indeed equivalent to letting y —> ∞, so we consider lim sqrt(y^2 + y) – y (y —> ∞) = lim sqrt(y)·(sqrt(y + 1) – sqrt(y)) (y —> ∞) = lim sqrt(y)/(sqrt(y + 1) + sqrt(y)) (y —> ∞) = lim 1/(sqrt(1 + 1/y) + 1) (y —> ∞) = lim 1/(sqrt(1 + y) + 1) (y > 0, y —> 0) = 1/2.
    3
  23354. Thank you mate.. definitely looking forward to getting a copy of this..
    3
  23355. Thank ∪ ( Very x Much )
    3
  23356. Excellent bibliography. Thank you for your information
    3
  23357. great insights! certainly your eyes are struggling to blink 😅
    3
  23358. It is not being smart that is key but having wild hair! :) While I was born with good math intuition Physics kicked my butt. The math was fine but I would get lost in interesting aspects of the math and miss having that critical sense of what is the shortest and most fruitful path to a useful enough answer. Very different.
    3
  23359. My stat teacher refuses to answer questions 🙄 so thank you for explaining this better than he will
    3
  23360. Thank you 😉
    3
  23361. Thanks Math Sorcerer- had trouble finding the 1st class boundaries- but will apply this knowing that you just add the width!!!
    3
  23362.  @TheMathSorcerer  gotta wear a camera on each finger!!!
    3
  23363. you are being too nitpicky. 1:45..if a is not zero, then the equation is not quadratic.
    3
  23364. Matemáticas es difícil.
    3
  23365. Can you recommend any good books for probability and Logic from beginner to advanced?
    3
  23366. Nice!
    3
  23367. Give them to kids that cant afford them please! ❤
    3
  23368. Something about you reminds me of Jeff Bezos, in a good way. Thank you for sharing this & keep up the great content! 😌
    3
  23369. From India love and respect
    3
  23370.  @TheMathSorcerer  I know how to write proofs via Mathematical Induction but nothing more than that
    3
  23371. Mainly I am under the impression that the problems in Spivak are really good. I want to hone my skills in problem solving by starting with Spivak's Calculus questions and then going on to doing Putnam problems.
    3
  23372.  @TheMathSorcerer  Wow thanks a lot this really helps. I will definitely get some proof-writing books. Most likely one of the books you reviewed and that Analysis book by Kenneth Ross. Thanks a lot this really clears up my doubts.
    3
  23373. Congrats for (5×10^5) subscribers :)
    3
  23374. Hmm ... another thing to notice is how little yellowing there are on the pages of that book. A lot of new books start to disintegrate in less than ten years because of the acidic pulp paper we use today. (The very oldest books used rag paper, which lasts "forever" - so old books tend to outlive newer books.)
    3
  23375. Thank you ♥️
    3
  23376. "i just have to take a whiff" is crazy
    3
  23377. Physics, math, books
    3
  23378. thanks sir useful video
    3
  23379. I have a problem. Maybe you can help me. I don't like the way cinema or common sense talks about a scientist, especially in mathematics and physics. They describe them as gods, who have absurd ideas out of nowhere and forget to tell about many significant ideas that came up before. The theory of relativity was not invented or discovered, it was the result of generations and generations. Galileo could never "discover" the theory of relativity, not because he was not good enough, but because there were no tools and concepts in his day. The same for those who came before him.
    3
  23380. Oooo
    3
  23381. Just passed college algebra with a c. Wish I did this beforehand
    3
  23382. Ok
    3
  23383. Amen! 🙏
    3
  23384. What do you think of 'Linear Algebra and its Applications by David C Lay'?
    3
  23385. I used a slightly later edition of this book in the mid-1970s (red cover "study light" edition). Occasionally there was an error in the answer key (which was frustrating). There were also supplemental books with answers to the even-numbered problems (from what I remember). I still have the books.
    3
  23386. Well I don't no. Cause I'm still on pre calc .I'm self studying so I can be a computer guy or computer science stuff. Just like you. Would you recommend to take your calc videos. Or take a deeper course.. great vid btw
    3
  23387. FANTASTIC thank you so much --- I really enjoy your reviews of books and collections of books
    3
  23388. 👍 to you Math sorcerer
    3
  23389. Id love to have you as a professor
    3
  23390. Simple and straight to the point. Thank you.
    3
  23391. hell yeah u can
    3
  23392. Thanks bro👍
    3
  23393. just use the triangle inequality at the beggining no to separate the sinxs no need for the trig identity
    3
  23394. if You read books, take notes
    3
  23395. Calculus 3 kinda kicking My butt :(
    3
  23396. 21st
    3
  23397. 🤣🤣🤣🤣
    3
  23398. Hello MathSorcerer, i really like your videos. I'm very happy with your channel content. Can you help me? I want to know which Analysis book, is like this one, through practice, because I only found one. Its name is Problem Book in Analysis but do you have a collection like this in Analysis. Thank you for your videos!
    3
  23399. I agree an excellent book for U/Grs and advanced engineering students. I think its basically the same book as Schaum's Outline series: "Differential Equations Crash Course" by the same author.
    3
  23400. Keep doing this kinds of videos that's the reason I'm subed
    3
  23401. Gracias
    3
  23402. Thank you!
    3
  23403. "Variety's the spice of life." - English proverb
    3
  23404. Hey if you have to pick between stewart and thomas and finney, which one will you choose?
    3
  23405. Dangit I was taking notes and only looking things up if I was stuck for more than a half hour and now I'm definitely going to fail at failing
    3
  23406. Ty
    3
  23407. perfect timing dawg
    3
  23408. You should have asked all the females and then take their average answer. As for the why i think in the end it just boils down to being born with a talent or a more logical mind. I view mathematics as a form of art. An art of logic if you may. Think of poetry. While you are speaking the language, you are limited by your own creativity. You may learn the language and its rules but excelling at it is something different. Some people are just naturally inclined to be better, an inclination determined by the environment one grew up, and frankly his genes. I can't really pretend that everyone can be equally good at mathematics given an infinite amount of time. But, we don't have an infinite time. If you chose to major in maths or physics but you feel like it's a waste of time because "i am not good" then practice makes perfect. Make the most out of the time you have. It's not a competition. Hard work always prevails. So, get working.
    3
  23409. You could create your own book, providing the solutions for everyone, and sell it on bookstores online.
    3
  23410. There are many great pre-calculus textbooks. One very fine example is Precalculus Mathematics in a Nutshell by Simmons. That said, every good calculus textbook worth reading begins with chapter on pre-calculus.
    3
  23411. Shalom evening again. BOOKS are nice, books are good, books work! I like books!
    3
  23412. This seems very familiar to me.
    3
  23413. Why is homework part always left out and not shown in the video?!!? Homework is VERY important in math. Wish we could see homework problems
    3
  23414. subtitles?
    3
  23415. Is the 7th edition as good as the fourth Sir?
    3
  23416. Thanks for the video!
    3
  23417. "We are born alone, we die alone. Between these two realities we create a thousand and one illusions of being together - all kinds of relationships, friends and enemies, loves and hates, nations, races, religions." - OSHO. I have always been an introvert and enjoyed being alone. My two bestfriends have been mathematics and iron ( barbell training). Both are honest and unpretentious. Both keep you grounded and always provide you honest feedback about your capabilities. Both bestow you with incredible amount of strength (physical and mental). Both build your will and character. Lastly, both are fun. :)
    3
  23418. That would be great!
    3
  23419. 3:16 killed me LOL
    3
  23420. Good day Mr Math Sorcerer. Do you have any explanations with TI- 83? There are certain problems in which Statcrunch is not allowed for me to use. Or is there a way that you can show us how to find the normal curve and zscore with TI-83? Thank you once again for making these videos, you are a tremendous help. I will be recommending your page to my Statistics class once we are back from Speing Break.
    3
  23421. “I learned English playing video games...” Me: Hold up. You’re NOT a native speaker???
    3
  23422. you are very humble and a good person. I am very fortunate I found you online.
    3
  23423. Looks easy
    3
  23424. how is 2^k*2^1 is equal to 2^k + 2^k? I just don't understand that 2^2k is equal to 2^k
    3
  23425. 3:07
    3
  23426. nvm, I got it. great video, thumb up.
    3
  23427. Hey math sorcerer, I'm looking for a book on complex analysis that is on the cheaper end. The subject looks interesting and I would like to continue to get better at calculus, however, I am still a student so I'd rather not drop 100 dollars on a book. Any recommendations? Thanks!
    3
  23428. Sir what a great motivator, you described the grind so accurately .
    3
  23429. Thank you! Quick, clear, and to the point
    3
  23430. You always post videos like this exactly when I really need it! Thank you so much!!!
    3
  23431. you are a life saver with this one!! Thank you for this amazing step by step breakdown!
    3
  23432. Thank you for this! I have a maths test on Monday It's motivating!!
    3
  23433. I am 21 years old and I have a dream of joining a quantitative economics course. But it requires a high school degree in math that I dropped out of at the time. It has been my greatest regret these past 6 years. I am starting with 10th grade math and I’m struggling with it. I feel so stupid, so stupid. I don’t think I’m ever going to make it. I have a HSC math exam on the 22nd March, and yet I am so slow and everyone younger than me can do this easily. I feel absolute self destain. Does anyone have a word of advice?
    3
  23434. Fascinating and beautiful to see you systematically working through each step to get to the point of intersection. Mathematical thought is a beautiful thing to see and practise.
    3
  23435. Engineers and physicist are good at explaining math😎 than mathematicians .
    3
  23436. The best time to do math, or rather anything, is NOW. Don't hope that tomorrow you'll feel like doing it, the best time is now. hypocritical of me to say that when i need to be studying for an exam though
    3
  23437. it was great :D
    3
  23438. 1st like!
    3
  23439. You are wonderful man
    3
  23440. Thank you sir !!
    3
  23441. I teach at a private school. We're planned to be shut down till the 30th. All of our teachers are planning for virtual teaching during these two weeks. I've been flipping my math courses the past two years; I'm lucky that I can just post them as the weeks go on. Definitely more work than I expected.
    3
  23442. This is a frist time i see math in a diffrerent way. All i learn math from my school is caculate and mapulate the symbol. But this kind of math is so weird to me
    3
  23443. omg, thank you so much for the straight forward toward this topic.
    3
  23444. I think I might have an answer: As someone mentioned before, here in Germany math majors take real analysis in our first semester which must mean everyone is great at math already? Wrong! Here in Germany most universities have a 85-90% drop out rate for math majors, there is no real incentive to decrease this rate because the universities founding does not come from students but from the state thus students are not really clients as they are in the US. This is one of the downsides of higher education basically being for free in Germany.
    3
  23445. I don't usually do this, but I'd leave a comment to help this video get more views, your channel is a gem for a self-studying enthusiast
    3
  23446. You saved my exam!! Thank you!!!😭
    3
  23447. Hii
    3
  23448. Thank you for the video. Here are the titles of three math books (not texts) that are very informative and interesting: "Prime Obsession" by John Derbyshire, "Love and Math" by Edward Frenkel, and "Trolling Euclid" by Tom Wright.
    3
  23449. I have "Calculus and Statistics" by the same author. Would love to have this thin little real analysis book! look at that cover.
    3
  23450. I needed this video. Thanks for all your wonderful content. You’re a real treasure to all of us here on YouTube
    3
  23451. Got into uni this semester (BsC Mathematics).... Been watching you for years.. Been a lot of help and inspiration dude... Keep it up :)
    3
  23452. First
    3
  23453. #convinced
    3
  23454. Bustelo coffee is the best. Start the day with that and then carry a nalgene bottle of great value caffeinated flavor packets in water for work and class... dont want to know how much caffeine it adds up to per day
    3
  23455. getting them muscles i see, nice one 👍☝
    3
  23456. Your the goat
    3
  23457. Que tenga un lindo fin de semana Maestro!
    3
  23458. Thank you for sharing your library with us. Do you have any MIR books? (MIR was an ancient publisher from Moscow)
    3
  23459. thank you very much sir! very well explained, easy to understand and not boring at all!
    3
  23460. Routh Hurwitz stability criterion?
    3
  23461. Good timing, I have a math midterm tomorrow
    3
  23462. First!
    3
  23463. In my opinion u dont learn if u dont know wether u solved right or wrong
    3
  23464. Can I get your email??
    3
  23465. You're trying hard not to laugh lmao🤣🤣🤣
    3
  23466. thanks sir from India
    3
  23467. Thank You sir!
    3
  23468. Its pretty hard going to the self-study route for undergrad math, but its pretty doable. I'm doing Tao's Analysis, but recently I came across an awesome Analysis series by Amann and Escher, it's 3 volumes if I remember. Its much more comprehensive than Tao and introduces advance topics earlier. If you have time I suggest you check it out :). I heard its what they use in Germany in an undergrad math major.
    3
  23469. Hello good morning sir how r u sir how can I got this book sir reply me please sir
    3
  23470. I’m doing great at my calculus 1 class so, I started considering majoring in math and to be honest I don’t know what to do with a math major, I just picked math because I loved the math classes that I took before calculus 1 and because I need a bachelors to get into med school so, I will be getting a math degree with a minor in chemistry.... 🤷🏻‍♂️
    3
  23471. I love mathematics and Im also a pure mathematics major but a minor in chemistry? I cant do that. I hated chemistry lol.
    3
  23472. bless up
    3
  23473.  @TheMathSorcerer  Oh I see.. That's unfortunate. I guess I will need to find other resources to learn the missing 7.2 and so on 😢 Also I love your teaching, so clear in every steps and I know what happen in between, not like my professor that always says, "i am lazy to do this" or just skip every possible steps 🤮.
    3
  23474.  @TheMathSorcerer  Woah thank you very much! I am going to contribute views for you. :D
    3
  23475. ❤❤❤❤❤
    3
  23476. So hilarious 😂 and so true. I love it!!!
    3
  23477. Although, I think online lectures for math are the worst since I am one of the students that ask a lot of questions and the interpersonal learning and interaction are crucial that online does not provide. BUT...Historically, Newton did develop/formulate calculus during the Bubonic Plague while University was closed for may this could be the second coming of mathematical genius and inspiration 😇😁
    3
  23478.  @TheMathSorcerer  does it cover multivariable as well?
    3
  23479. And yet another good video about books
    3
  23480. This is so to the point ... I sometimes read a mathematical book without a paper or a pencil and tried understanding and thought ,was I doing the right thing ..this answered it all❤️❤️❤️
    3
  23481. I'll be honest ... Sometimes I don't watch your full video, but I always leave a 'like' because your videos are extremely useful so I send them to my ex-students. Thanks for ALL the info.
    3
  23482.  @TheMathSorcerer  Thanks that's encouraging in a way.
    3
  23483. Galois
    3
  23484. I'm falling for it. My copy's on the way
    3
  23485. Tolerance for frustration is akin to fertile soil for your mind.
    3
  23486. Thanks so much!! Will def use this in the near future man. Preciate the help!
    3
  23487. Sticking the camera in the position that faces the centre of board. That might offer the best view of boards and also slow the movement of camera.
    3
  23488. I think 2 is
    3
  23489. You're a legend!
    3
  23490. I love this channel
    3
  23491. I achieve inner peace from studying probability and measure theory - and just focus on it with my noise-cancelling headphones
    3
  23492. Who else forgot the final chain rule and got 1?
    3
  23493. Taking this course though applied math dept @ CU Boulder! Final on Tuesday morning, Thanks!
    3
  23494. I am 18 year boy I love mathematics but study it from start to infinity
    3
  23495. Haven't read that book but Pumping Iron inspires me to keep going to the gym. Edit: The Arnold Press is one of my favorite shoulder exercises. It helped me with shoulder recovery after PT. Great Exercise.
    3
  23496. Would have loved to have somerthing like that back when I studied topology - there's some wild stuff out there!
    3
  23497. Is there an approach to using these books effectively or is it just a matter of start at the beginning and work through the problems?
    3
  23498. Great explanation. Thanks for sharing! <3
    3
  23499. What if both of the answers are the same?
    3
  23500. I love Dover!
    3
  23501. Squash your procastination by getting a haircut. Stop procrastinating. 😆
    3
  23502. you touched my heart a little with this video I want to do a first degree in math, and I want to be a professor. I want to become a mathmetician and I often think I am not good enough for that. when you said that he didn't want to see/hear your solution. I am doing this things my all life so naturaly whenever there was a formula I wanted to crack it down even back than at the age of 10-12 I didn't want them to tell me the formula just what it is supposed to do and I will get there myself but it didn't have anything about difficulty(probably since I never read a book that I cannot understand just me thinking trying to imagine a solution and I loved that process) and I am sad because this was a crucial part of me and my life It is me, and I am without it very long time now( becuase I have reached my limit of doing mathematics alone 4 years ago when I was 17) it is not all that sad because I have now more things in life now but that one thing remembering that I wanted to be a mathematician will always stay part of me and always define me now that I want to get back to mathematics I am reading books and trying to understand solutions from math olympiads, I can more relate for that struggle/difficulty sometimes and it does get me frustrated and sometimes I have full weeks of not doing it because in order to do it,I need to work hard and concetrate for now math that challenges me is not my confront zoon anymore,not that frequently at least.
    3
  23503. John von Neumann is pronounced NOIman not Newman.
    3
  23504. That's exactly what my brother asked me two years back... Thanks!
    3
  23505. Could you do a video on a level mathematics and a level further mathematics and books a highschool dropout in the UK could use to finish A levels I've seen your GED video but Britain doesn't allow Ged
    3
  23506. Late comment here, but the 4th edition and the solutions guide arrived yesterday at my home (October 7 2022). Can't wait to use this as my supplement for calculus next year, along with the books by Stewart, Larson, Thomas, and a bunch of others I have 😄Thanks!
    3
  23507. There's no age limit for learning ANYTHING! Language, science, mechanics, accounting, math, . . . ANYTHING!! Just WORK at whatever you choose!
    3
  23508. I just buy the eighth edition two weeks ago. I can not wait to start in. Before I do that I need to finish the precalculus book also by Stewart I am currently reading.
    3
  23509. Another classic is "But this is very obvious"
    3
  23510. Great advice!!! and inspiring ! Thank-you so much !
    3
  23511. Hi MS, do you have any books about history of math? i'm kinda new to your channel, but i think it would be nice to see a video about that
    3
  23512. Thank you Jeff Bezos, You Ain’t fooling me with that wig
    3
  23513. Thanku so much sir 👍👍 love from India.......i see It three 4 times ....and now I can solve any quadratic problem,.
    3
  23514. Do you have calculus 2 full course online?
    3
  23515. Let him start with Stroud's(advanced) engineering mathematics. He won't regret it.
    3
  23516. An extra comment to boost the YouTube algorithm!
    3
  23517. Thank you Sir for sharing about this book . Really helpful video.
    3
  23518. Oh my... horrible memories of trying to understand that textbook... thankfully on my third time through the course, the professor chose a different textbook and I made a B...
    3
  23519. I love these old books, and like to pretend I can master the material. It's too bad that rights are obtained and someone put the solution guides to all of them online. When I get something wrong I want to know where I goofed! And having proofs available would really help.
    3
  23520. thank u so much
    3
  23521. Thanks Math Sorcerer, these are really nice tricks!
    3
  23522. My formula is you subtract .5 from the lower class intervals and you add .5 to the higher class.. Like 11-15 10.5-15.5
    3
  23523. You should have done one more example where X is not a subspace of V.
    3
  23524. I taught my self calculus as tween to varying degrees from his complete course. I have a ton of his titles lying around.
    3
  23525. well, it has been a while
    3
  23526. A Roman walks into a bar, holds up two fingers, and says "Five beers, please".
    3
  23527. I'm 35. I'd like to learn programming. ¿Is it too late for me?
    3
  23528. Teacher looks like DJ Bobo LOL
    3
  23529. The secret is practice. practice and MORE practice. Then concepts become like second nature. Combine practice with relating concepts to the real world...
    3
  23530. I was taking pre-calc and the teacher stood before the class and announced that she made the upcoming test extra hard and extra long. I dropped the class. What is wrong with math teachers? Why are they so sadistic? I went on to get A's in calc 1 and 2. I am not afraid of working very hard. I expect teachers to test fairly.
    3
  23531. A lot of thanks for explaining me this topic in way I was able to understand them so well and to do a correct exercise at my college exam! Thanks again!
    3
  23532. Apostol's Calculus Vol1 2nd ed. is available free as a pdf as is his mathematical analysis. I would read Salas,Hille, Eitgen first, and then Apostol, then.go onto a good Real Analysis book like Apostol or Tao. For advanced calculus, go look up pdfs for Hans Kagan, and Steen Pedersen. If Apostol and Salas are too hard, there a lot of easier books to build your ability, but you need to read and breathe Salas, IMO.
    3
  23533. i genuinely love you. thank u soooooo much
    3
  23534. I love it when he smells his books.
    3
  23535. Awesome collab logs have some of my favourite properties. Very usefull in stuff like stats when you need to convert to % changes
    3
  23536. Very glad you enjoyed it!
    3
  23537. Very interesting book!
    3
  23538. If math isn't hard for you, you probably aren't doing enough of it or going at it wrong, is what I always tell myself
    3
  23539. Make a video on every math course you took from undergrad to graduate school
    3
  23540.  @TheMathSorcerer  I would love If you do another lecture like this on calculus please
    3
  23541. Thanks bro
    3
  23542. Hey math sorcerer! I don't know if you're familliar with Calculus on Manifolds, by Spivak. Do you prefer Functions of Several variables by Fleming or Calculus on Manifolds for a proof based multivariable calculus course?
    3
  23543. Thanks!
    3
  23544. I'm in the process where: I fake it till I make it, and it's working my grades are raising my love for math is also growing.
    3
  23545. Please do more videos on infinite series
    3
  23546. You are the Best !! ❤ From INDIA
    3
  23547. I was probably one of the few that found pointers easy as I at the time started with BASIC then Assembly for many CPUs then to C so when came to pointers they just instantly made sense so guess it was the same for many who had a background in Assembly languages
    3
  23548. Me too 😅👌
    3
  23549. So basically you replies almost every comment Or I have to say "There is at least one comment you've replied." You know mathematicians speaks very accurately.😜
    3
  23550. Nice muscles!
    3
  23551. I find math students to be down to earth.. they want everyone to learn math!!
    3
  23552. If you want a really strong foundation in math I recommend a book called "A Manual of Greek Mathematics" by Thomas Heath. It also gives you an understanding of where a lot of this stuff comes from.
    3
  23553. Man what a great video
    3
  23554. How time it takes to learn all these books ? Maybe it's a job for Highlander no ?
    3
  23555. Cool...thats it , friend.
    3
  23556. For me i'm struggling with finding a balance between having a passion for something and letting it define me. I'm passionate about the things I'm studying but when I do a mediocre or bad job on something (e.g. a test or performance) I feel like a mediocre or bad person because those things make up such a large part of my identity. Dramatic, I know, but would love to hear if others have dealt with something similar
    3
  23557. Amazing lesson! Just worse cameraman o.O
    3
  23558. I'm new here, love your stuff! Question: what do you think is the single best way to teach yourself a calculus class, say calculus 2. Would it be a textbook, an online course, or something else? Goals: understanding and efficiency.
    3
  23559.  @TheMathSorcerer  Thanks a lot this is quite helpful and enlightening since I've been watching videos but had a feeling that textbooks were better. I think that I also learn better that way.
    3
  23560. At 6:17, shouldn't it be only 'less than' instead of 'less than equal to' ?
    3
  23561. So quick to reply! 😊😊 Thank you so much!! Love your work and the way of teaching. 😌
    3
  23562. I have to say that the statement "I can't wait to take all these hard math classes that I don't even need for my major" is demonstrably false as I ended up double majoring with a degree in mathematics simply due to all the extra math classes I took that were not needed by my first major of computer science.
    3
  23563. very helpful! thanks a lot!
    3
  23564. Which is the harder (harder for you) book than you own?
    3
  23565. I went for systems admin, got into systems programming = money programming, currently stuck in async programming. Also accounting, but you need to bleed ridiculous amount of money on proprietary software, then you get into chicken/egg problem.
    3
  23566. I love this new format of the videos, keep them coming! I work the problems out on my own first, then watch your explanation to make sure I am doing things right. Super helpful to have a little extra practice over the summer break.
    3
  23567. Sir,what math book will you suggest for JEEmains for me?
    3
  23568. Thank you!
    3
  23569. Great!
    3
  23570. Topology by James Dugundji, Prof. of Math, USC, 1966.
    3
  23571. Hey!!! I've got that book in my home math library!! And there were a lot of subjects in my math classes that were, for me, rather difficult. One of these was matrices. Whenever I had to learn how to solve systems of equations, I also had to learn how to tackle matrices--and I've yet to conquer that subject that, I admit, will open the door to the other tougher fields of math covered in my rather sizeable private math library.
    3
  23572. I think what makes it jarring is the abrupt transitions. Maybe a 1 or 2 second fade could help? It might even work to slowly fade up the music while the dialog from one section ends, and fade it out while the dialog for the next section begins. I think it does the job of indicating a transition, but maybe it could be a bit more subtle? Just a thought :)
    3
  23573. Great Channel Growth Man. I'm the derivative guy.
    3
  23574. very cool
    3
  23575. Thank you so much!
    3
  23576. I've got piles of used technical books that are withdrawn university library books. I think my copy of Knuth's Art of Computer Programming, for example, comes from two different university libraries (multiple volumes).
    3
  23577. Isaac Newton is back
    3
  23578. Your video is not only helpful but put yhe truth, a hard fact & a reality in a very concrete perspective. Genuine passion towards a field or a subject is crucial & essential because you are going to put your soul for yhe rest of your endeavour in that field So - it is important to love what you do. If one haven't found one yet, well, just keep looking out for it... I think Steve Jobs used to say this Thanks mate! God bless! 👍
    3
  23579. Thank you very much sir. Useful video.
    3
  23580. nice explanation sir ..... No-where differentiable means not satisfy the CR Equation ....
    3
  23581. can u plzz do a series on Complex Analysis.. I want to learn it...real bad... please
    3
  23582. I'm saying this right now to make myself accountable. I'm gonna go to uni now to prepare for the three exams I have in two weeks so I can get a 1.0 (best mark) in them. Those are Numerical Linear Algebra, C-coding and Dutch. Thank you for this video.
    3
  23583. Yes, this is the best words that describes learning Math. What shapes the Mathematician is not the information, but the journey towards the information. And it is a very very long journey!! Also at some extent, It's not about the intelligence, but the journey! And its quality.
    3
  23584. Sir Math Sorcerer, Do you have any rigorous multivariable calculus book, something that can be a follow up for Spivak's calculus? Like Shifrin's Multivariable Mathematics, Hubbard's Vector Calculus, or maybe other advanced calculus texts like Loomis and Steinberg's Advanced Calculus? If so, can you please do a review on the mutlivariable calculus books? Would really appreciate it.
    3
  23585. Hey I remember you subbed for my college algebra teacher last semester in SSC !! What the hell I didn't realize this was you. Great class btw keep up the uplifted attitude
    3
  23586. Where are you from?
    3
  23587. Your videos have helped my math skills tremendously thank you!
    3
  23588. Getting started is half the battle.
    3
  23589. If memory serves, I think Prof James Clerk Maxwell (of EM Equations fame!) was the first to mathematically investigate feedback, when he analysed the twirling balls governor on a steam engine - thus giving rise to the fab new world of Cybernetics - oh hang on, it's not that kind of feedback! My Bad!
    3
  23590. Is that a deku shrub?
    3
  23591. I bet Karen has great night vision. Blueberries are said to increase night vision. Pilots in WWI era used to consume lots of blueberries for nighttime bombing. They wore Karens' tights too inside their trousers. Wartime planes were cold and without tights, your legs went numb. I sometimes take blueberries so to thin out sugars in my blood.
    3
  23592. It worked for Newton, but we could do without the plague
    3
  23593. Imagine making a Jenga tower with these books
    3
  23594. I'm currently doing an EE major I'll check it out thank you !
    3
  23595. Sir I am from India and I love your explanation.
    3
  23596. I know it's a ton of work, since I wrote 2 books already, not on math, but you should write a Perfect Math book, since as you said there isn't one. I had some ideas, but essentially, find the common flaws of every general math book (such as never having any of the answers in the back worked out, and just having the odd numbers, etc.) and write one that doesn't do any of those things. The subject could be whatever one you're best at, Cal2, Real Analysis, etc.
    3
  23597. Great video dude !
    3
  23598. do you have more tips on this? I struggle really bad with this and can't even solve a single simple problem!
    3
  23599. Channel could be called #1 book sniffer lol, I love this channel
    3
  23600. what if rt=0??
    3
  23601. wow you got the sorcerer on the spot for a second
    3
  23602. I used this as an engineering undergrad around 1967 and 1968 as well as the book by Wylie.
    3
  23603. I didn't know that was the definition of sinh, thx for filling my gaps
    3
  23604. Great video,and thanks for there review! Quick question though - does the book require some media supplement as well? I've noticed some icon in the book like a CD or something.
    3
  23605. No, they would add a cd in as a supplement that a teacher could use for extra assignments. All modern math text books will have an online code that you can use if and only if the instructor sets it up. Pearson has MyMathLab which I was able to use and its basically all your homework assignments online and it will help you solve the problems as needed and when you're done it is all scored and sent to the teacher. But the short of it is No there are no required external media for this math book.
    3
  23606. Read these starting in 1978 at Imperial College while I was studying Physics. Hard going but rewarding.
    3
  23607. Thanks ❤❤❤❤❤❤❤❤❤جزاك الله خيرا
    3
  23608. Came across this video by chance and i think your message is on point. Do know that this video is appreciated especially by a young person like me, who’s just starting out in life and is trying to figure out what in terms of profession works for them.
    3
  23609. its a part of Space and Tech 3rd term lesson.Replaced by W. M. SMART's Celestial Mechanics
    3
  23610. Love your channel, but I found some irony in the blurb teasing it today: “When YOUR bad at math.” How about, “when YOU’RE bad at English.” Yes, I’m being snarky. I find your channel not only instructive but quite inspirational. That kind of error is more common on channels produced by certain political groups. Please keep up your great work, but suggest a good English grammar book to your blurb writer! 😊
    3
  23611. I’m grateful because it helps me to find solutions to my personal and business problems. Math teaches you that there is a way out of the hole or at least some options. Most seriously affected mental health patients have a feeling of hopelessness. Not all but many. They cannot seem to be able to find a way.
    3
  23612. Thanks for the video! I was just about to ask my prof. if I could wash his motorcycle.
    3
  23613. But not for beginners. That book made me learn in the hard way that there's no shortcut to learning everything you need for physics 😞
    3
  23614. I once been a math genius after i solved that you can replace x with y in x=1.
    3
  23615. Thank you Sir!!!
    3
  23616. Thank you!
    3
  23617. Just a piece of advice... I know that your mind will subconsciously compare yourself to others and make you feel bad about your life and your circumstances, but please try your best to get rid of that thought as soon as it comes to you. Trust me... You don't want to end up having depression/anxiety/panic attacks etc. These are debilitating and will devour a lot of time from your life! You must be in high spirits and begin climbing that mathematical mountain right away!
    3
  23618. At the end of the day, it's the mathematical knowledge that really matters, not the sheet of paper that you get when you graduate from a university. Many successful mathematicians and scholars never had a certificate. Keep this in mind always!
    3
  23619. Oh, and please don't think that I don't want you to join university! When life gives you a chance, do apply for a maths degree asap! However, prepare for it from now!
    3
  23620. good, but i need g(x)=-f(x) ??? it will be the same but with out the -3???
    3
  23621. The number of people going "I don't need to actually get it" is sad. If you can't get it, it's being taught poorly and the person teaching you doesn't actually understand either.
    3
  23622. By far my favorite YouTuber/Youtube Channel!!!
    3
  23623. Great video!
    3
  23624. Thanks brah
    3
  23625. I've always been a drifter. My parents were drifters. Undiagnosed autism I think. I wish I could make it go away.
    3
  23626. bold of you to assume it'll end
    3
  23627. Wow I actually own this book! Great reference if you need a compact and quick reference to complex arguments!
    3
  23628. A podcast? I love it! Hope to see you expand to other platforms like 'google podcasts'
    3
  23629. Great. Give more PDEs here
    3
  23630. Got this one right😎
    3
  23631. As a tutor I've only gotten to witness that rarely but man is that the most sacred of feeling.
    3
  23632. You're like the thing I picked first out of all my notifications ❤🎉😢😮😅😊
    3
  23633. Reall og
    3
  23634. Don't forget the best job while you're getting a Math degree is tutoring! I'm not a Math major but I can not wait till I have to confidence to apply to become a tutor at my college. :]
    3
  23635. I start my college experience in calc 1. My sat score was like 710 so it was high enough for me to be placed in Calc one right away. I have came a long way since then now I’m a senior working on complex analysis and abstract Algebra. It is tough but I’m trying my best to push through it.
    3
  23636. you planning on doing anything for your spanish channel, would love to help you if theres any problem with your spanish
    3
  23637. Where to purchase old books? Any website you would like to recommend??
    3
  23638. thank you again for the reminder!
    3
  23639. I've been using the calculus 5th edition by Stewart in combination with your udemy class and I find the Stewart book to be hard to understand in places
    3
  23640. thx :) its hard for me to pay attention during class so this helps especially in zoom classes
    3
  23641. ok
    3
  23642. Each time i don't understand a problem i do easier ones and always learn from multiple sources. I never felt that i am not intelligent enough for math, but I do sometimes feel not creative enough. But I guess can somehow increase my creativity muscle.
    3
  23643. Dover > Schaums. Sxhaums does not even have theory.
    3
  23644. I have the book on the top~
    3
  23645. Do one on number theory!
    3
  23646. Just thought I would mention that Donald Knuth was the developer behind TeX which others used as the core of LaTeX. I'm sure that you're aware of it as I see that you made some videos about LaTeX.
    3
  23647. Hope you did well on your Calculus 1 final. If you did, good luck in Calculus 2 because it is going to be tougher than Calculus 1.
    3
  23648. Jee one of the toughest exam in the world
    3
  23649.  @TheMathSorcerer  your welcome and also thank you for being as smart as him
    3
  23650. Keep it up
    3
  23651. We used to solve these questions in our 9th grade
    3
  23652. What do you think of Knuth et al.’s Concrete Mathematics?
    3
  23653. I notice that in this used algebra book you bought there is a lot of yellow highlighting. I have always liked books like this because it gives me clues as to what prior students have thought either important of difficult. It seems to give me a human connection to other students, good or bad. Many such books only have highlighting in the first few chapters which would seem to indicate a dropped class and that the student gave up.
    3
  23654. Thank you for the third point, that was the hardest of all to overcome. Currently doing a PHD candidature in maths and sometimes I feel unmotivated in doing nothing. Your third point makes logical sense and if you have pointed me in the right direction.
    3
  23655. Thanks 👍
    3
  23656. I can very much relate to the third point. I started my college a few months ago and in my 1st semester I have differential calculus. There are so many books on this topic and each book explains the same topic or concept in different ways following different approaches. In the beginning I was very confused as to how to start a new topic. I couldn't just decide which book to pick-up (besides the lecture notes). Then I just decided which topic I had to study and read it from whichever books I had. Reading the same topic from different books gives a more complete picture. So, when starting a new topic one must definitely have a gameplan of how to go about it.
    3
  23657. already took methods of applied math but this is a great review tool since it shares some of the same differentials.
    3
  23658. Man!! ... What a coincidence! I'm back studying math after decades of inactivity. I'll be enrolling in a program that requires calculus before applying to the university and need to start building my skills up. So I went to the storage room to rescued and cleaned my 1990 edition of this legendary book. I mean a minute after returning home with the book and exited that I was able to find it among so many boxes I hear you talking about it. My dad used an earlier edition and got one for me many years before I needed it. I also own "Geometria Plana y del Espacio y Trigonometria", great book as well by the same author. Good work man, I enjoy your videos very much and they have served me as motivation to get back to the thrill of Calculus. Gracias!
    3
  23659. Thanks .
    3
  23660. Thank you!!😀😀😀
    3
  23661. Create seperate playlist for computer Science books 😇
    3
  23662. Thank you, great explanation
    3
  23663. I'm assuming you allowed 15 hours to do all that.
    3
  23664. Lovely review Sir, I really love your videos. But I've this really silly question - what are the advantages of reading printed books over those free PDF? I really want to owned those printed books but its really expensive and can't afford them, so do you recommend someone to learn mathematics with only PDF version available? Many thanks in advance! :)
    3
  23665. Could you do a book review on Calculus Vol. 1 by Apostol?
    3
  23666. Why am I watching this when I don't even want to do a phd in math..........
    3
  23667. One must expect a sorcerer to be wise, let alone a *math sorcerer*. Instantly subscribed!
    3
  23668. Could you do a example of Algebra 2 honors in exponential functions
    3
  23669.  @TheMathSorcerer  can you also do word problems about exponential functions in algebra 2 honors
    3
  23670. I’ve passed both calc 1 and 2, why am I here? I don’t know but I always enjoy a good simple math explanation.
    3
  23671.  @TheMathSorcerer  Quick answer! Im studying computer science and im thinking of doing the same thing ^^ Dont feel like Analysis 1 in my second Semester
    3
  23672. I always love it when you "give it a whiff". <3
    3
  23673. I have failed calculus twice. I’m taking it again. May you please give me some advice on what I should. I have until December I think to pass, but it so hard for me to remember stuff like related rates. Please help me Professor Sorcerer.
    3
  23674. Some of the old techniques can be so interesting
    3
  23675. Thanks!
    3
  23676. Math can be used for anything. 🤗
    3
  23677. I used the first edition of this book (the "green dragon book") while taking a compiler design course at MIT back in the mid-80s from Professor John Guttag. It had a reputation as an intense and difficult course, which it lived up to. But I enjoyed the subject matter so much that I took another compiler design course in the mid 90s when I went back for my masters, this time using the red dragon book in this video. Both are still on my shelf today, and I will admit I've often been tempted to get the purple dragon edition. But the high price has always dissuaded me.
    3
  23678. So nice
    3
  23679. Thanks for saving my day sir
    3
  23680. Hi, can you please recommend me the best calculus book to self-study? Thanks😄
    3
  23681. What about study music? Yes, no? YouTube study channels? Ambient or thrash metal?
    3
  23682. I would love to learn math, but I find it so boring I pick up a book, read two pages of explanations and start yawning uncontrollably BIG YAWNS, one after the other
    3
  23683. Unfortunately in my college there is no such a thing
    3
  23684. What is the difference between Algebra 1, 2 and College Algebra? Are the same or is college Algebra different? For context, I am in the US
    3
  23685. Hey 👋
    3
  23686. 👍
    3
  23687. I'm doing Biomedical engineering which is a very jack of all trades major. I had to take two semesters of biology, four semesters of chemistry, all the math you mentioned, a lot of the physics as well as a four semesters of programming. So I can say if you don't enjoy all of these subjects, it's not going to be a very fun time. I'm done with the biology, almost done with the math, halfway through the chemistry and I wouldn't choose another major.
    3
  23688. Just finished my maths end of year test/exam, so schools out for the summer now. Consciously decided to treat myself to 10 days off from Mathematics. Sometimes you have to zone out form learning to let your mind consolidate all the learning you’ve done over the school year. No summer break for me as that’s too long to go without some sort of periodic Maths studying 👍🏼
    3
  23689. helped a lot with understanding de moivre's theorem, thanks!
    3
  23690. I would also emphasize the importance of prerequisites and positive mental attitude in any failing strategy. Making sure that you don't have the necessary background for the course is essential. If you do have the proper background, at least make the effort to not review anything you may have learned before. Above all else, try to have the positive belief that math is just too hard and that you "don't get it." If you start with the attitude that failure is inevitable, your chances of doing just that increase. As a last set of hints, make sure never to ask questions, never visit the tutoring center, and definitely don't go anywhere near your professor's office, for any reason, ever.
    3
  23691. Omg, you are a legend. All 2:47 of this just sank right into my brain
    3
  23692. I love these vids
    3
  23693. really really helpful exactly what I was lookin for !!!
    3
  23694. mfw 1917 math book is far superior to current day math books. And then they say that the quality of education hasnt decayed lol...
    3
  23695. Every house that wants to produce a college graduate in Latin America HAVES the Baldor book ... Got 2 of em in my house, the one my mom used (back in the 70s) and mine from the 2000s ...
    3
  23696. The math sorcerer spits only facts and truths
    3
  23697. you are a legend
    3
  23698. I want to be a math professor 😃
    3
  23699. Nothing to be guilty about! Society is guilty, my friend!
    3
  23700.  @integralboi2900  other way round for me 😅😅
    3
  23701. 100% true
    3
  23702. Thx for the reference....Statistics...another hurdle in nursing school....Uggg....lol
    3
  23703. Great advices as always.
    3
  23704. Some teachers/ways to learn are much much better than others as well
    3
  23705. Renaissance Periodization channel where Dr, Mike Israetel teaches the fundamentals of natural bodybuilding is a great source
    3
  23706. You could stand nose-to-nose with this guy and he'll still see the wall behind you 😅
    3
  23707. Woww I gonna love it 👐🏻
    3
  23708. Is this an intro english class
    3
  23709. Patrick fitzpatrick I know who that is I don't know him personally but I know of him
    3
  23710. Wow, your book recommendations are great... Over the years I thought I have collected a list of all the necessary super/classical books on math, but it seems I have missed some of the most important ones (on logic, proofs, calculus, discrete-math, and analysis), but thanks to your recommendations, now I can fill in the blanks...!
    3
  23711. I literally commented on another video that he looks like young jeff bezos and BOOM he makes a video of jeff bezos
    3
  23712. Cool! What camera do you have?
    3
  23713. Computer science major here. GPA has never come up in my job interviews.
    3
  23714. Helpful
    3
  23715. i studied abstract algebra a lot in physics (grad level tho)
    3
  23716. I still have to do the Baldor book.
    3
  23717. Hi, Hope you're still active on this board. Why is it that PHD departments pay you? Is that standard for all PHDs?
    3
  23718. I really appreciate your videos. I am taking my first course in Real Analysis and I am really struggling with the material / how to prove things. Thank you for not only the math help but the life advice.
    3
  23719. I'd really love your thoughts on Klein's calculus! I personally really love this approach!!! https://smile.amazon.com/dp/0486404536/ref=cm_sw_r_cp_apa_fabc_4w85FbRZ4JZSV
    3
  23720. "Write an entire notebook full of mathematics every week and we'll talk at the end of the semester" - our professor
    3
  23721. Once you've taken that enema the rest is sailing.
    3
  23722. Thanks – I really needed to hear this today.
    3
  23723. Delightful! This just made my day; I would've thought to treat 4th root as a fraction, but never would've thought to manipulate that fraction.
    3
  23724. Study other angles. Not just right angle vectors.
    3
  23725. Your channel is super cool!!
    3
  23726. Your channel is awesome. I wish I could afford MIR books.
    3
  23727. I don't study math, but it watch your videos. Thanks from far countries, man!
    3
  23728. WOW!
    3
  23729. Really informational, Thanks! Here, I kept thinking that I was the odd one out, or rather built different. Who knew a simple trick could help out so much, focusing on the same thing until I tire myself out and am no longer able to do it is just not efficient... breaks really are important. 🌟
    3
  23730. Yeah, but how's it smell?
    3
  23731. I love role-playing games, at the moment I play Skyrim, but LoL is very interesting, especially because it's free. I will download LoL!!!
    3
  23732. aw im not first but these reasons are the best, thank you very much for these
    3
  23733. Will you do more of these around January 21 to May?
    3
  23734. Any time the prof uses the word mathematics, you best saddle up because the old boy is feeling rigorous today.
    3
  23735. Definitely buying this. Thank you so much.
    3
  23736. What about "Calculus: Early Transcendentals" 9th edition by Stewart, Clegg and Watson ? I'm studying it (200 pages overall, and it's 1408 pages long, so I'm just starting) and find it great but I'm not able to compare with others like the one you present. I'd like to study with the best material if possible (another reason is the book's price, I can't afford bying too many)
    3
  23737. Best of luck for your finals, you'll ace it <3
    3
  23738. Much needed to hear this right now ❤️ You are doing such wonderful job being the big brother we wish to have but never had 🥺
    3
  23739. Didn’t know you still made videos, but your ODE videos are literally getting me through my class. I can’t make it to my lectures because I have to stay at home with my son. I just wanted to say thank you so much, I appreciate you 🫶🏽
    3
  23740. thanks u so much :D like
    3
  23741. I’ve learned calculus from this book back in 2005 in Saudi Arabia
    3
  23742. Please make more basic shortcuts. appreciate your work
    3
  23743. Really good video
    3
  23744. Great advice!
    3
  23745. If the subject, in this case math, is something you love, then I believe hard work, immersion and constant review gets the results you want. What results? IMO, the results would be speed and instinct. The naturally talented in the field may get it easier and faster but average intelligence and love of subject can give a great result.
    3
  23746. I think it does matter, you do need a certain level of IQ in order to properly understand and appreciate the patterns and the abstractions in math
    3
  23747. The correct answer is abs(a)^3×b^4 abs for absolute value !
    3
  23748. I have books like these; gifted to me by dear friend. Now I'm so thankful. For anyone who needs to have comprehensive knowledge and written works for E.E this will help if you're in college or university or even if you're on the job learning
    3
  23749. We are getting to Philosophy with this one. 🗣️🔥
    3
  23750. Thank you sir Isaac Newton
    3
  23751. Congratulations on your hard work that you put into your mathematical work.
    3
  23752. Absolutely love your helpful videos! Thank you ❤
    3
  23753. Congratz on 100k++
    3
  23754. Completely unrelated, but What voice/video recorder do you use?
    3
  23755. we know Calculus books by Thomas, Stewart and Apostol, are very famous too!
    3
  23756. Hola math sorcerer 😀
    3
  23757. That horse head scared me 😹
    3
  23758. Your channel is really unique, thank you for your work.
    3
  23759. 👍🏽👍🏽👍🏽👍🏽👍🏽👍🏽 BE FEROCIOUS FOR YOUR GOALS PERIOD …..COMPLETE THEM BY ANY MEANS NECESSARY
    3
  23760. I'm a second year math major but I've lost interest in maths, although it was my best subject in high school. My passion is in computer science and I'm changing soon 😑
    3
  23761. the math sorcerer likes gandalf, who wouldve thought
    3
  23762. You are the best, Thank you so much
    3
  23763. but I wonder why A=phi or B=phi .....shouldn't it be A=phi and B=phi.... isn't A union phi=A and phi union B=B.....I understand proof is right but I feel some confusion....can you clarify it please?
    3
  23764. sir checkout vedic mathematics its really a good math book
    3
  23765. pls tell us books for apply math on the real world 🙏🙏🙏
    3
  23766. From what kind of perspective is it written? From a linear algebra perspective?
    3
  23767.  @TheMathSorcerer  I've been looking for a book like this.Thanks for sharing!
    3
  23768. very helpful thank you so much! we use your videos for stat class!
    3
  23769. thanks my brotha in christ
    3
  23770. how many books do u have?
    3
  23771. this video randomly appear on my recommendation just light up my day, thanks sir
    3
  23772. Great person 👍👍👍
    3
  23773. In regards to Discrete, I really enjoyed it. The professor totally makes a difference. Loved my professor luckily, he's scottish or on the likes so it was just nice to listen to. Nonetheless It's what i've described as "Computer science math" In that it's truly a rational thinking math. Different to most other maths.
    3
  23774. You must read "Curso de Analise Vol. 1 and 2" by Elon Lages Lima
    3
  23775. great video thanks. God bless!
    3
  23776. THANK YOU SO MUCH
    3
  23777. im taking math 1b at uc berkeley and this has really helped me!! i found that after watching your videos, i was really able to test my knowledge and get a+'s on my tests :) thanks!!
    3
  23778. Very nicely done. Thank you so much!
    3
  23779. Unexpectedly, just like the Spanish Inquisition
    3
  23780. Holy shit I now realized he looks like Issac Newton
    3
  23781. Some people just adapt to knowledge faster. But that doesn't necessarily mean they understand it. Such people can use or manipulate the knowledge through reaction, not reflection. Sometimes, that may be enough. But I don't think that can lead to meaningful innovations. That's just some machines in human form.
    3
  23782. There are only two math channels that I recommend to my friends and family. First one is “Professor Leonard”, and the second is the “The Math Sorcerer”. You both have math videos ranging from high school to college(sophomore) level math(you have some higher level math content as well), which explains concepts in a easy to understand way. Both channels are severally underrated, but it is hard to capture audience only using math videos. Keep up the good work!!! Lol you could probably start teaching math online at your college only using lectures that you are uploading to the channel.
    3
  23783. Hello teacher Do I have a chance to ask a question?
    3
  23784. Don't mind me while I spam this video in an attempt to take notes. My professor straight up told us what problems were gonna be on the test, and this is the concept I flagged with the most question marks.
    3
  23785. Would you say that it's worth it to apply to REU's without relevant research even when most of the ones I want prefer research experience?
    3
  23786. I don't know if this helps. But I try to make sure I understand what the math problem is asking. Then I try to imagine how this applies to a real world situation. Imaging how it appllies to real world situation helps me a great deal to understand the problem. I think that is related to how to solve problems. I do think math is another form of creativity like painting & writing. If someone is talking about to be more creative, they might try another form of creativity like painting or writing. Try anything that is creative to get their mind use to being creative in other ways. That might also help them think of more creative ways to do math.
    3
  23787. Time to give you some views, quick late night study sesh
    3
  23788. OMG, this was amazing! 😍😍
    3
  23789. Everyone makes fun of me for being bad at math. I just want to be a little better than average adults. Not an expert but better. Is it possible? 😭😭😭
    3
  23790. What were you doing after HS and before college?
    3
  23791. I think trait 3 is probably the most important yet underrated trait in maths and science. I did research in organic chemistry during my undergraduate studies and failed at least fifty times before succeeding on my very last attempt on the very last day of my rotation. I could not explain it but it did develop mastery of the protocol. The results demonstrated instability which could be shown using the Poincaire-Bendixon theorem.
    3
  23792. Woa... Super fast I like the 3rd habit....
    3
  23793. Why did the chicken cross the Mobius strip? To get to the same side.
    3
  23794. thanks!
    3
  23795. you started college at 24 ? wow your actually a whole story can you tell us someday on your story
    3
  23796. amazing
    3
  23797. I think this is the calculus book 📖 for the simple meaningful words and the way you get the information either you're a math major student or simple person who get interested in calculus.
    3
  23798. Since I am paying for my own tuition and the thought of retaking a math class leaves a bad feeling, I pretty much have no choice but to work through the math problems until I get it.
    3
  23799. One can also use cos(2v) = 2cos^2(v) - 1 i.e. cos(15) = sqrt((cos(30)+1)/2) and cos(30) = sqrt(3) / 2
    3
  23800. great stuff! going to use this next semester for probability theory and modern algebra
    3
  23801. My contribution is for people out there to pay attention to small details in life cause they really matter.
    3
  23802. That’s a nice book!
    3
  23803. Any beginner books for calculus specifically math 1b
    3
  23804. I've had this on my reading list for too. This convinced me that now is the time to read it. Thanks!
    3
  23805. Very informative vedio sir,......
    3
  23806. These new thumbnails are a gamechanger Sorcerer
    3
  23807. Thanks! I watch your video every morning and I'm getting better with my life. Love this channel❤
    3
  23808. I know this video is old but my god dude thank you
    3
  23809. bro looks like einstein but without the mustache
    3
  23810. Thank you so much 😊❤❤😀
    3
  23811. One of my tactics is to have a plan of attack for every problem. Categorize every problem such that I know what I need when I identify a certain type of problem. As soon as I face it, I turn on the jets and get going.
    3
  23812. The goat
    3
  23813. 2 likes ? one comment ? and 235K sub??? 🤣🤣🤣
    3
  23814. In Spain it's getting worse in my view, cause like 10-20 years ago, in Highschool you learned Calculus I and a bit of Calculus II. But nowadays it's much worse cause you just learn like some of Calculus I and II but the basic things like derivatives, optimization, etc...
    3
  23815. I have a doubt, at one point you ended as (X+7)(X-1) >0 So, If we do as below👇, (X+7) >0, as the other term gets divided, And then we get, X > -7 So, in the solution you said that the solution set excluded the real values between -7 and 1. But as we get X > -7, we should exclude the numbers less than -7 right? I hope u got me. Pls clear my doubt
    3
  23816. You are also a good teacher
    3
  23817. Thanks
    3
  23818. Just got this video recommended. The thing I've noticed about math is that once you manage to "get into it", you're in for good. You will be so engrossed that you literally never think about "giving up". Sure, you might take a break every now and then, but you just can't leave math for good. You won't be able to understand how people can live being ignorant of math. I can't find better words to describe this feeling, so I hope you understand. This is what I've acquired from self studying math for a couple of years, dunno what goes on in uni.
    3
  23819. Early 80s Even if you take recent publications on this topic they will have mistakes in trigo calculus both integral as well as differentia. So everybody note. If the authors see my posts on FB they will know the mistakes. So in their next edition they can publish without these mistakes. Remove the list of trgo integrals and derivatives.
    3
  23820. Love your content!! Keep it up sir😁
    3
  23821. I have the third edition softcover version and the printing is kinda bad :/
    3
  23822. Hey I was looking at your calc II playlist and was wondering why partial derivatives aren’t covered in there, unless they’re and I don’t see it. I know for a fact my university covers multi variables in calc II. Thanks & great video!
    3
  23823. I've had this question for a long time, and now I decide to ask it. Where do you keep all those pages on which you do math? I mean, they are singular sheets. How do you store them? I do math in a notebook and it makes me curious.
    3
  23824. Fun facts (In iran (where i live Calc 1,2,3 are provided in a 2 semester course Calc 1 and calc 2 are taught in a course named general mathematics 1 And calc 3 in general mathematics 2 Making general mathematics 1 the nightmare of all first year students
    3
  23825. The modulus can also be written in terms of the complex conjugate: |z|^2 = (a+bi)(a-bi).
    3
  23826. So far, Logic. The one about Godels Incompleteness Theorem
    3
  23827. Keep on being a real one! Thank you mathematics sorcerer!
    3
  23828. THANK YOU, I FINALLY UNDERSTAND
    3
  23829. Just bought one!
    3
  23830. Here's a laundry list of math books that I would like to see reviewed on your channel: Analysis by H. Amann and Joachim Escher (Three volume series) Geometrical Methods in the Theory of Ordinary Differential Equations by V. I. Arnold Ordinary Differential Equations by V. I. Arnold A Walk Through Combinatorics by Miklos Bona Mathematical Analysis by Andrew Browder Advanced Calculus: A Geometric View by James J. Callahan An Introduction to Ordinary Differential Equations by Earl A. Coddington Theory of Ordinary Differential Equations by Earl A. Coddington and Norman Levinson Linear Algebra: Theory, Intuition, Code by Mike X Cohen Complex Analysis by Eberhard Freitag and Rolf Busam Various books by Israel Gelfand written for around middle school students (linked here: https://www.egcpm.com/books-assignments/) Linear Algebra by Jim Hefferon Basic Algebra by Nathan Jacobson (Two volume series) Abstract Algebra: Theory and Applications by Thomas Judson Geometry by A. P. Kiselev (Two volume series translated by Alexander Givental) Basic Algebra by Anthony Knapp (available as a free PDF on his website) Linear Algebra by Elizabeth S. Meckes and Mark W. Meckes A Book of Abstract Algebra by Charles Pinter Theory of Complex Functions by Reinhold Remmert Mathematical Analysis: A Concise Introduction by Bernd S. W. Schroeder Mathematical Analysis by Vladimir A. Zorich (Two volume series) Definitely do not feel pressured to review these books as soon as possible, take as much time as you need with them.
    3
  23831. Great books Thank you professor:)
    3
  23832. I totally agree with your perspective. 99.999999% and tending to infinity 😂
    3
  23833. YOO math sorcerer's looking big
    3
  23834. Mathematical maturity is the idea that the more math you learn, you become better at learning new math. Just pick up a math book.
    3
  23835. Believing in myself is the ONLY and I mean only reason I've made it as far as I have in school. I'm in grad school now and I greatly struggled through undergrad. So much so that I often wish I could redo it, of course it's silly to wallow in what could have been. We only have the now and the future to change, and we can only do that with confidence in ourselves and each other. Great video
    3
  23836. Where did you get that desk i need one. I need a small desk like that
    3
  23837. 0:30 Finland allegedly does not give its students homework. Your thoughts???
    3
  23838. thank you sir
    3
  23839. You are a true motivator.. thank you.
    3
  23840. Yeah, that's true, even in a specific branch there are some things you can not "love at all your heart". But time is the best teacher. Nice video
    3
  23841. Sir a small request.can u plz list out the topics in every playlist of ur channel.plz sir
    3
  23842.  @TheMathSorcerer  thank u very much sir
    3
  23843. road to 1 mil 🙏
    3
  23844. Stewart is also super popular in brazil
    3
  23845. I think ai thumbnail can bring more views. Best regards from France!
    3
  23846. Why did he have crazy eyes in this video?
    3
  23847. Espero haga video de este tema en su canal en Español Maestro Saludos desde México Thanks for Sharing!
    3
  23848. pepe
    3
  23849. Thats the motivation I needed for my finals in october thank you sir
    3
  23850. hey Newton ! are you there??? really? its really great experience to learn something in maths by someone very close to newton both in appearance and knowlede
    3
  23851. Thank you so much. I found this video because I didn't learn it yet and it now I know how to do it!
    3
  23852. Great advice and encouragement. In my view, all math students have the potential to pass math comfortably. The main ingredients are speed of insight into math concepts and problems and, of course, the amount of effort invested until these are understood and conquered. Often I'd wake up from deep sleep, in the middle of the night, with a solution to a problem that had been hounding me during the day!
    3
  23853. I have a test in 30 minutes so I’m learning the past 2 weeks in twenty minutes .... I just need to get this D up 💀
    3
  23854. The 2nd Edition is out of stock, and over $80 in other markets - but the 3rd Edition is still available and cheap - is there much of a difference between the two?
    3
  23855. thank you from jordan
    3
  23856. Do about math required for Computer science
    3
  23857. this was a very kind video of you to make. i really needed it. thank you, mr. math sorcerer !
    3
  23858. Igual a mi
    3
  23859. Justamente estoy haciendo lo mismo jajaja
    3
  23860. Asi es como vine a parar a este video.
    3
  23861. I would like to thank you again, I watched 5 or 6 of your videos, and they helped me a lot, they are very similar to some problems that I was given as a task in a discipline here in the Chemical Engineering course, and their resolution methods were very practical and didactic. Congratulations on your wonderful work and goodwill with which you do it, I hope that God will bless you and your family always, and that you will be very successful in everything you do, your videos are fantastic, thank you! Greetings from Brazil.
    3
  23862. You should try hard to find a good master. In any subject. Do not work alone!
    3
  23863. Hello good evening sir can you make a video tracing and explaining the SHA-256 algorithm and other cryptographic algorithms, since a lot of cryptography is very math heavy.
    3
  23864. As a post-secondary math professor, I did actually say a few of these things. "Using an approved calculator on your test is not illegal, immoral, or fattening!"
    3
  23865. Yeah I have doubt
    3
  23866. 1926 holly crap you boss
    3
  23867. Loving the long hair prof G ! Sure miss you ucf Professors suck :/
    3
  23868. The way that professor described research gave me the willing of doing maths research 😀
    3
  23869. Sorry, but you missed a lot of stuff here. First, the TAOCP was voted to be in the top twelve (?) of the best science books written in the 20th century (together with Einstein, Russell, Dirac, von Neumann etc). Secondly, Knuth is not known to be the „father“ of computer science. There are a lot of people involved and I am pretty sure that Knuth wouldn’t dare to compare himself to these people, like Turing, von Neumann, and others. Don’t get me wrong, I am a big fan of this man, but he is not „the“ or even „a“ father of computer science, but he is a great teacher of CS, though. He developed TeX to be able to typeset this book. TeX is today used by almost all mathematicians and scientists to set their books and articles for print. The achievement of this book is the way he teaches algorithms. He is using a fictional computer processor and all source code examples are set in assembler for that processor (MIX). Most other books are using high level languages, like C. Knuth is also distinguishing certain levels of difficulties for the exercises in time, that means, how long you need to solve them, like, 30 minutes or 1 hour when you are watching TV at the same time. Some of the exercises have no solution yet (research problems!). The book has a crystal clear language and is always on point. It is also written with humour and a fun read. Also, learning algorithms is always a reminder that CS is a mathematical science. If you wanna learn it, learn at least discrete mathematics first. Lastly, the man devoted his life to this book. He started when he was young and is still working on it. It takes so much time, because he is a perfectionist and a completionist. AFAIK, the original task was to write a book on compiler design, but he thought he needs to deal with the basics first. I think there is like one new book every 10-15 years since he started working on it. The passion of this man writing these books is exemplary for me. BTW, you obviously got a copy (literally) of a chinese university or something.
    3
  23870. It would have been so funny, only if it were not true
    3
  23871. I'm actually about to take a Calculus 3 Test on a Chapter about Partial Derivatives soon
    3
  23872. I love to see the algebra content coming in!
    3
  23873. Thank you so much for this ❤
    3
  23874. Why did this immediately come to mind? :- https://www.youtube.com/watch?v=ay6GjmiJTPM
    3
  23875. 😜
    3
  23876. If you are good at everything, you could do a double major of math and some engineering. While, in your spare time you can read philosophy and psychology books (you can get used books really cheap). That's my personal thinking because I believe that people who are smart and talented should do major in difficult and high paying jobs. While in my case I'm considering dropping from engineering because I think that I am not smart enough to do it.
    3
  23877. Leithold, THE bible
    3
  23878. My favourite tip: when you end the day's study, leave one tiny thing undone, e.g., the last line of a proof or exercise. The next day you will be very motivated to pick up where you left off!
    3
  23879. Best advices ever THANKS dear Sorcerer
    3
  23880. Merry christmas and thanks for everything
    3
  23881. So I just finished level 1 math (except linear algebra) can I go to level 2 while learning linear algebra at the same time?
    3
  23882. For some reason, all the copies of this book that I can find used are very expensive.
    3
  23883. Maybe i'm the only o one .. but in the internet Say. That mit calculus is good for beginners ,but it was fast and hard .. i don't . No .. could You check it out. And make a vid about it? Maybe i'm the only one that thinks that
    3
  23884. Hi, i'm from Italy and my University (in Milan) has been closed since feb 24. Now all the schools are closed in all of Italy. We are still having classes online
    3
  23885. How can you not admire his innocent, sincere smile?
    3
  23886. Your life is a fucking inspiration
    3
  23887. Your hairline gives me confidence.
    3
  23888. Modus vivendi
    3
  23889. Thanks for the advices. It's really helpful
    3
  23890. Oh so bright background 😀
    3
  23891. book review 👏👏
    3
  23892. @Manas Srivastava You can try the Feynman method for studying! There are tons of resources online, but the essence of it is that you teach yourself out loud as if you were teaching someone else.
    3
  23893. Is it worth it? Found a used copy for 129 eur, thats alot
    3
  23894. Could be great if you trate a discord channel where we can talk each other or just a telegram channel it’s a good option for problem solving and doubts. I just recently joined your channels and it’s awesome!! Great job
    3
  23895. But at least the rock rocks !
    3
  23896. I belive in myself, and I do that doing so much exercises, and failing too
    3
  23897. Your videos are amazing and help me a ton! Thank you!
    3
  23898. Are you related to Jeff Bezos? Safe travels.
    3
  23899.  @TheMathSorcerer  thank you, your videos are helping me with calculus so I can pursue my dreams!
    3
  23900. Next video advice: what to do when you want to drop the course but the final is tomorrow lol
    3
  23901. Thanks math sorcerer for reviewing this amazing book. I used this book in highschool as my father did. An actually I used his book when took algebra. One thing that is also cool is what you said towards the end of the review, and that is the historical notes. But in the book Aritmética de Baldor, in it's introduction I found the best the concept/intuition of what means to do abstractions in mathematics. An idea so radical (from its roots) than it's clear from start that something abstract in mathematics is not about the difficulty of the problem or concept, is about what mathematical idea has been isolated to work with in it's purest form. He uses three examples to explain what an abstraction is, he works with the concept of length, area and volume. For me he's explanation is in point and clear. With that in mind was clear to me what is happening when we abstract the notion of distance and it's properties to define a metric space. Again thanks sorcerer!
    3
  23902. For me advanced calculus is like ancient Egyptian hieroglyphics, but I still love it. Stay cool people 😎✌
    3
  23903. Sir is their any real analysis book which has a proper exercise solution
    3
  23904. oh finally !!!! good old days...miss it so much....loved it.
    3
  23905. The book on applied PDEs looks fascinating
    3
  23906. I did the thing, and I'm very happy that I did it! Not related to the video at all, I don't think I've ever taken a forced break. But I'm a math major now, and I couldn't be more thrilled. Just setting up my schedule plastered a smile on my face for 3 days straight! You played no small part in me making that decision, thanks! So because of all the college classes I took in highschool, I got all of my English classes out of the way for the rest of School apparently! I'm pretty happy about that, I enjoy writing quite a lot, but I hate when I feel obligated to do it. You're like that great math teacher I've never really had. The first time motivation came from the out-world for me. It's usually an inside job getting myself to f(x). ... get it?
    3
  23907. Hey I m from India I love your channel can you make a detailed video on how to learn very very very very very very advanced maths love you
    3
  23908. Wow, I'm amazed that I never heard of this. I took calculus in 1974–75, and used the George Thomas book. It was everywhere, and apparently was highly regarded. I'm very impressed by those who write textbooks. The work is, in essence, VERY tedious, and you really have to be very nearly 100% correct to have any credibility. OTOH that is balanced off a bit by the fact that, at least for STEM, you don't need to be an especially creative writer. I'm sure it's also true that, because of that formulaic quality, you may be able to fob some ofthe more tedious work off onto grad students or some such helpers. Still, it's a lot of work making a really good textbook. Not sure if I could do it.
    3
  23909. C\C++ are still on the top, and the things aren't going to change very much in future
    3
  23910. Please start a podcast
    3
  23911. Bro's jacked asf
    3
  23912. I like your enthusiasm
    3
  23913. These tips are really useful...!
    3
  23914. Hello Sir, Should I study Principia Mathematica written by Bertrand Russell in order to understand arithmetic / nos. From scratch?
    3
  23915. I don't think it is worth it. The construction is pretty contrived, the notation is bad, and the theory is - as all first order theories of arithmetic are - incomplete. I think studying axiomatic set theory is actually more valuable.
    3
  23916. Hey, math sorcerer I see you everywhere brother. I see all your videos and I even see your Amazon reviews. Big fan
    3
  23917. I donated all my college text books years ago. BTW my major was molecular biology. I had taken Calculus I&II and three statistics courses. The stat courses were very useful when I was involved in research. Nice channel...I'll check back from time to time.
    3
  23918. Do you think that ‘trying to be better than X person’ is a good motivator to have? Or maybe there are certain types of motivators that are bad for you as a person that wants to succeed in X field?
    3
  23919. Can you do the induction for saying any animal can do maths? haha😂😂😄😄😁😁
    3
  23920. Thank you from Maryland
    3
  23921. And advanced cálculus book of Apóstol, whats up with that book or why is the reason for you don't recommend it
    3
  23922. Some infinities can be larger than other infinities. So just have a larger infinite supply than the lesser infinity. Easy win.
    3
  23923. Thank you! You've helped me learn to love math again.
    3
  23924. Hi Math Sorcerer Sir, as always your review is very good. I would like to know is there any English translation for the book?
    3
  23925. I'm working in Briggs Early Transcendentals 2nd edition and it's so hard to find videos that match the order of what I'm learning AND explain it well sometimes. I'm glad you're here to help!
    3
  23926. 3 for sure
    3
  23927. Will this be good for high-school
    3
  23928. This is only comment on the video also thanks this video helped
    3
  23929. Can you make a video about what you think about learning math in your 30s and whether it is even feasible or encouraged?
    3
  23930.  @TheMathSorcerer  Great, thank you so much!!
    3
  23931. I want to play D&D with you, Sir!
    3
  23932. thank you.
    3
  23933. You're not a regular guy. You're the Math Sorcerer!
    3
  23934. Great video.
    3
  23935. Schaum's outlines need not be cheap. I got a copy on real variables for 100 USD!
    3
  23936. Oh wow!!!
    3
  23937. I think you might be right but your statement is too general so I’m a skeptic😊
    3
  23938. 3rd
    3
  23939. Your so funny when you smell the books. Funny 😂😂😂
    3
  23940. #Newton #Calculus
    3
  23941. 0:28 I had a prof who actually did do this, he was also a dj so would do office hours in bars sometimes
    3
  23942. Isn’t it +- 1/8 ???
    3
  23943. I always enjoy the LaTeX in the thumbnail.
    3
  23944. Investing is like gambling in casino where the odds don't go down the longer you play.
    3
  23945.  @TheMathSorcerer  Please do a full review on the book you showed before that said, introduction to applied mathematics.
    3
  23946. Love seeing vids like these in my feed. I'm taking Calc 1 right now but it's nice to brush up on dem Pre-Calculus knowledge.
    3
  23947. hehehehe(evil laugh)
    3
  23948. Can you do a ponytail so I can see the books behind you? Thanks 🙏🏻 ❤ I love you so much ❤
    3
  23949. I know this is not the place but i'd like to see a video like this with programming books in python or something like that. Spending 1 hour learning calculus is worth and funny, i used to do when i was at school and it helps me a lot when i started my degree.
    3
  23950. does the math sorcerer work out himself?!
    3
  23951. The link to the free version doesnt work. Sure its the google page for the book, but there is no way of viewing the book.
    3
  23952. I have found that the TIME and MONEY spent in reading a book is well worth those costs IF i have learned at least one thing from the book. This book looks like one that can teach us many lessons.
    3
  23953. I picked this up after you suggested the publisher! Turns out I should probably grab another book to supplement it haha.
    3
  23954. sir after watching your videos i got interest to study maths and physics which i used to hate during my school days. i am currently doing B.A. and to be honest i found it waste of time, money and energy. So i want to dropout from college and want to selfstudy maths and physics(astronomy) from basics. Should i dropout of college or not??plzzz reply🙏🏻🙏🏻🙏🏻
    3
  23955. Failure is very important to succeed in life :)
    3
  23956. Thank you dude, I really needed this!
    3
  23957. A hairdresser cuts the hair of all those who do not cut their own hair. Does the hairdresser cut his own hair?
    3
  23958. they say when you fast you get more focused idk how true it is.
    3
  23959. Exactly what I was looking for ! Awesome ty sooooo much !!! Now let's get started 😁
    3
  23960. No
    3
  23961. Psst! Photomath app.
    3
  23962. So helpful! Thank you!
    3
  23963. Best Calc professor ever right there.
    3
  23964. Bro, stop trying to sell me life insurance. LOL
    3
  23965. Thanks, this'll help me for my diffeq class
    3
  23966.  @TheMathSorcerer  thank you so much for replying sir sure gonna come back after 10 days saying i did it..
    3
  23967. I know for a fact that my own thinking tends to be very negative on the whole-- I tend to be very much a "what's the point" kind of person. Whenever I took any significant amount of time on a problem, I used to kick myself for it and would get very depressed that I wasn't like those "top" students. But I've also learned to take it slow, because trying to rush through a problem set only causes stress and makes you feel "inferior" when you inevitably get stuck (which is just a natural part of learning).   I think it's a matter of shifting focus. Yeah, being smart and quick can and do matter, but the point at the end is to learn. And as long as that's happening and you're working hard, you're doing the only thing that really matters.
    3
  23968. thank you!
    3
  23969. Thank you for your incredible videos
    3
  23970. You are so motivational, il follow you from France and I am always feeling great and inspirated after I watch your vidéos!
    3
  23971. I have "Integral Transforms for Engineers" for the same author and it is interesting to read
    3
  23972. My university (University Colorado-Denver) has sworn by this book for decades. The author has put up videos for each of his chapters https://www.youtube.com/channel/UCtHp0WNe3OaSXAr1C_Oi0AQ/videos he covers the content, but for some proofs he refers you back to the book. So he'll read quite a bit of the book to you, but not quite all. Also no exercises discussed in the videos that I've seen.
    3
  23973. U need to continue keep a curious and enjoy heart in math . Constantly ask question for the answer😊 Thanks YouTube❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️ ,thanks The math Sorcerer😊❤️❤️❤️❤️
    3
  23974. I can just say , Enjoy the journey and don’t look for getting the end result …
    3
  23975. Predicted 100k subs right ( Pacific Time) Congrats!!!!!!!!!!
    3
  23976. It's where Albert spent most of his time xD
    3
  23977. Bro i am a 9th grader who has his exams on 22nd of this month, i gotta study polynomials along with 2 others, can you suggest some strats?
    3
  23978. Indians too😂
    3
  23979. I think you need to consider the case when n = 1 separately, since this gives a logarithm rather than a polynomial result.
    3
  23980. Tq so much sir
    3
  23981. Our phones becomes the top things to sacrifice especially social social media... It has a lot of distractions
    3
  23982. Hello 👋 first of all I want to say thank you And then quality of some video is May have some problem so Pls try to correct my teacher Second not only maths we need physics phsyco logic as well as work sheet thank you very much
    3
  23983. Wow the fourth one surprised me
    3
  23984. This guy looks like Sir Issac Newton .He helps me motivate for quite sometime though
    3
  23985. You fail at the same thing 1,000 times. You found that 1,000 times did not work for the same thing.
    3
  23986. It's a great book! I used it in my engineering lessons. Great information professor! Thank you!
    3
  23987. He plays League????
    3
  23988. I had a wierd dream today that I snuck into your house when you weren't there and almost stole some math books, but then my conscience stopped me.
    3
  23989. 😂😂Jeff Bezos
    3
  23990.  @TheMathSorcerer  😁
    3
  23991.  @TheMathSorcerer  Thank you!
    3
  23992. It's not about the work, it is about the understanding
    3
  23993. Interesting and Informative!
    3
  23994. HELLO PROFESSOR WHENEVER I WILL COME TO USA THEN I WILL DEFINITELY MEET YOU. FROM INDIA.
    3
  23995. ❤️❤️
    3
  23996. I agree even I too need one such book
    3
  23997. I enjoyed this video, I learned a lot. Thanks!
    3
  23998. Am first again
    3
  23999. U r a special dude! Thanks.
    3
  24000. I wanna study physics when I am done with highschool. You give me really good pointers to think about. Also I appreciate that you seem to be yourself in the videos. This is what makes your work so outstanding to me. I wish you were my teacher! Keep up the great work!
    3
  24001. How does it compare to Boyce & DiPrima ?
    3
  24002.  @ashar8192  It is a Dover book so it is relatively cheap.
    3
  24003. Yay!
    3
  24004. Good morning sir ji
    3
  24005. I believe that for showing the map is injective it suffices to note that since f is a group, all its elements have a unique inverse. Namely, if two inverses are equal to one another, the elements whos inverses are being taken must be equal, or that would contradict uniqueness. I feel like your method was more concrete though. Great vid as always!
    3
  24006. This book reminds of the Engineering Mathematics book by Stroud. It will stay around for a long time
    3
  24007. Thanks for the compact set videos! Hearing about them is easier and more understandable than reading the text. I would bet that you have never featured our text on one of your best books videos. The author and his brother unfortunately both write unreadable texts.
    3
  24008. Thank you! I love this!! New Sub!! Great stuff!
    3
  24009. Imo its truly respectable
    3
  24010. Thank you very much for nice book recommendation. Very usefull when programming.
    3
  24011. Habits are definitely very important. Another thing for those of you wanting to study math at the university or graduate level: make sure you are having fun. Having to take 1 math course for a degree is one thing, but if you are going to do mathematics professionally, then make sure you study what you find interesting.
    3
  24012. I use not math itself but the process I learned how to solve problems in algebra to survive at work.
    3
  24013. Sir, what are your views on people from Biotechnology background trying to improve on their mathematics. Do you think it is possible to improve on it after a certain age or graduation level. Note: we do had Engineering Mathematics at undergraduate level but only the application part was there like Statistics and Probability, Calculus and Sequence and Series, Linear Algebra.
    3
  24014. I play Dota 2 but if you are playing LOL I switch 100% for sure
    3
  24015. This is really motivating... Thanks for your words.. 😇😇
    3
  24016. 😂😂😂 dog answers 2 and 4
    3
  24017. Do you also buy very advanced math books like algebric geometry, class field theory etc , if so please make videos on them also
    3
  24018. nice!!
    3
  24019. @Abu Saleh yeah
    3
  24020. Thank You Math Sorcerer, You inspire me a Lot
    3
  24021. bruh the sorcerer might be using some magic powder, the energy my guy.
    3
  24022. Is that the best book for proof
    3
  24023. Exactly what I need. Thanks!
    3
  24024. Perfect discussion. Thank you!
    3
  24025. Isn't the discriminate ALSO called the determinant? Thanks
    3
  24026. Looking for a book I used to use in the 80s. It was the best calculus book. It was exhaustive, with so many examples. I wish I could find it again but I don't even know what it was called or the author. It was a stout book though, and blue. An excellent treatment of so many topics. It might be this one! Mine was a paperback. Interesting video. This is a pretty thick book too, and seems to have a lot of good stuff. I'll check it out.
    3
  24027. Me watching this video while having problems with the most basic algebra
    3
  24028. Ok I'll it from tomorrow👍
    3
  24029. This is great LMAO
    3
  24030. VERY NICE!!👍👍👍👍
    3
  24031. I was wondering in general when to use substitution can you help with that
    3
  24032. One unusual thing i would add to this list: Record yourself talking about what you're learning and play it back in headphones wherever you go. Not only does talking through something aloud help with comprehension, but listening constantly (while you're getting food, doing laundry, etc.) helps you understand better. The idea is to become one with your work.
    3
  24033. Thank you for such great books :)
    3
  24034. I had one teacher that once told me "you should change of career", i am studying math, remember i cried in the bathroom super sad, thinking i was stupid or something, he gave me Algebra 1, the next semester i tried again with other teacher and pass, she told me during an exam: "you are good at Algebra, just need more concentration" (i was living a lot of different troubles in my life and study wasn't a priority). In my last semester the last year, i pass Algebra 3, my last algebra course, so I'm here yet, doing my best with my career. Sometimes we just need someone believe in us, but even if nobody does, you must believe in you <3 pd: I'm a non english speaker, sorry for the mistakes in the text.
    3
  24035. Valeu!
    3
  24036. Thank you so much!
    3
  24037. This is not just true for math, this is true in most situation. I think we do not let things go because of our ego. You realize the importance of time with aging body.
    3
  24038. 😁😁😁😁😁🤣🤣🤣🤣🤣🤣😅😅😅😅
    3
  24039. What level is this class exactly? Like high school seniors, or college/uni?
    3
  24040. another great video! you never seize to disappoint math sorcerer!
    3
  24041. the bird alone is good enough to like
    3
  24042. Very helpful and cool teacher
    3
  24043. For the love of God. I'm subscribed. This is not just motivational, also useful!
    3
  24044. Try the carnivore diet
    3
  24045. Professor, neither you nor the books are cheap. Your frugal, and the books are inexpensive. That's wisdom.
    3
  24046. What prior knowledge do I need to start this book?
    3
  24047. You are my hero.
    3
  24048. Ik💪
    3
  24049. Meanwhile me :- Searching every other question on Google 😥
    3
  24050. Hi, question, would you recommend buying the electronic kindle version ? What are your thoughts on using electronic math books for study ?
    3
  24051. Will do!!!!
    3
  24052. I'm currently taking differential equations over the summer and I didn't feel like to study nor work on homework. But from now on I'm gonna try those tips if I'm in rut. Tank you for for uploading this video :)
    3
  24053. Thank you
    3
  24054. Please use your spell to solve the test for us.
    3
  24055. Thanks!
    3
  24056. thank u king!!
    3
  24057. Broad knowledge leads to better creativity. The more ways you know how to solve a problem, the more "creative" you become. Geometry can help with physics problems, trig and algebra help with calculus (and vice versa), etc.
    3
  24058. I have to disagree with this advice. Brains cannot multitask. You can either listen and try to understand or write without understanding and try to avoid spelling mistakes. The best your brain can do is switch between these two tasks fast, but not both at the same time (think cpu dealing with 2 running processes), and switching between tasks is inefficient and ineffective for human brains. Probably a much better approach would be to learn the topic ahead of the lecture and take occasional notes when extra valuable information is presented by the prof.
    3
  24059. Wow lol
    3
  24060. Thank you 4 your videos ! You are a great human being 🙏 I'm sure you help a lot of people in many ways, not only with math 👍🙏🙏🙏
    3
  24061. Start being visual...
    3
  24062. Can you make a video on why you can't go "slumming" in mathematics? I mean, no matter how advanced a topic I've mastered, like inverse Laplace transforms, I can always be humbled by a high school-level algebra word problem, or inequality. Like every time I go back to something, I need a day to get back in the swing of it. Is this normal?
    3
  24063. Those are some old bois right here
    3
  24064. Thanks for your support
    3
  24065. For the first reason of yours, I think it's pretty invalid. Grades are almost always far from the truth about you as a student and as a person. They're an extremely broad and unrealistic way to judge the qualities of a student and most education systems tend to keep track of all your grades, which only makes the student feel more pressure as to how many times they have to go out of their way to get good grades. This should be seen as a negative, not as "grades matter because they are grades". That GPA score is nothing more than what you got during your student years. It is nowhere close to who you are as a person and a worker by the time you go and look for a job. Unfortunately, our society thinks otherwise, but compliance with society's negative standards shouldn't be seen as a positive. For the second reason, grades are really not a good way to get a sense of accomplishment. Accomplishment should be gained during the learning process. When the teacher talks about a new subject that involves previous knowledge and you don't need him to explain how those connect, you get a sense of accomplishment for your success in previous classes. You get that sense every time you finish your homework, or a test in which you know you wrote well, or when hearing your teacher talk about your performance. You get a sense of accomplishment for participating in class, learning from your mistakes and obtaining knowledge. A bunch of numbers on a paper only give a fake sense of accomplishment that really doesn't mean anything. Lots of students from my classes got great grades. Their knowledge and attitude in class proves they didn't deserve them though. I say this all as a class topper in every single maths class I'm attending (calc1) with perfect grades from the end of our last semester. I hope I am understood and my criticism isn't taken negatively.
    3
  24066. Just had my first set of midterms, I knew the material so well to the point I was teaching my other classmates, but my nerves got the best of me I think causing me to make careless mistakes. Feeling kind of down, but this video makes me happy :)
    3
  24067. Ugh… Ross… never trust a book by anyone named Ross
    3
  24068. Thank you so much. You made my day!
    3
  24069. YES! topology and ... we get to stay home because of corona. What better to do than study math.
    3
  24070. I liked this video
    3
  24071. Good advice for problem solving in general. This works for any math, science, etc. You can even use this for crosswords and other problems. Move away, do something different and remarkably, our brains still percolate on the problem. I don’t know how may times I’ve not been able to finish a crossword but come back to it later or the next day and finish it in minutes.
    3
  24072. im on day 7 of my relearning math journey
    3
  24073. This guy looks like he's been stuck on a remote island
    3
  24074. He also has a wooden leg 😀✌
    3
  24075. brother you taught very effectively really i can't believe that i have understood all those boring things which i hated from my childhood since it was being taught. it had became fear for me to try to understand this which is gone now. again thank you buddy god bless you and your family.
    3
  24076. I am going to join college soon, in math majors program but i am confused what minor should i choose - physics, statistics, or computer science. Any advice?
    3
  24077. Calculas 2 lectures?
    3
  24078. Linear Algebra Matrix: Row reduce me into Echelon form! Do it! I Double-dog DARE YOU! cracks knuckles LEEEEEROOOOY JENKINS!!! (I got it wrong.... But at least I have chicken)
    3
  24079. I appreciate your comments on 'reading for enjoyment'. It's something that easily gets lost.
    3
  24080. First 10 seconds needs to be my wake up alarm ⏰️
    3
  24081. Also, solving or by atleast trying to solve a problem by oneself will help one get better at Math. And also, the above points can also be implied for physics and programming
    3
  24082. I almost never comment under YouTube videos. But in this case, I had to. For a few days, I have the exact feelings that you described, but I was not sure what to think and do about them. I am currently undergoing engineering class and it gets pretty tough sometimes. Really appreciate the video!
    3
  24083. Got it sir👍👍👍😌😎
    3
  24084. Please 🙏🙏🙏 sir coming with 18th 19th and 20th century old calculus book.and as possible as also review “method of Fluxion ”by sir Isaac Newton and also of Lebinize🇳🇵🇳🇵
    3
  24085.  @TheMathSorcerer  a lots of thank🙏🙏🙏 sir
    3
  24086. We are all entitled to our own definitions of "fancy math books", which you wisely avoided trying to define too closely. I think idea of a fancy math book may stray somewhat from yours, but I won't try to define it either. Instead I'll just list a lot of math books that I consider fancy and let you infer what you can of my definition of fancy from that. I don't own many math books now, fancy or otherwise, as I donated most of my math books to a local college's math department for their library / use after I retired some years ago. Anyway, here's my list. 1. The three volume work Principia Mathematica by Alfred North Whitehead and Bertrand Russell. Leafing through it, I think most anyone would have to agree that is fancy. However, it is not the kind of book one needs to read in detail or from which one is going to teach oneself math. What is important and remarkable about this book is simply that it exists. Not a book I want to own or read from cover to cover. But I am grateful that every university I have ever attended owned it and I drew comfort from the fact that I could go look at it and leaf through it occasionally. 2. Éléments de mathématique by the fictitious mathematician Nicolas Bourbaki. Its pedagogy is more than a little dated now, but it is breathtaking in its scope and conceit. 3. Hardcover books in Springer-Verlag's Die Grundlehren der Mathematischen Wissenschaften series. Of course, I'm not familiar with all of them, but am very familiar with some (e.g., r Homology by Saunders MacLane). Springer-Verlag also has a number of other series which are wonderful (e.g., Lecture Notes in Mathematics, Graduate Texts in Mathematics), but perhaps not fancy. There are a number of other publishers with series which are perhaps comparable. I could have included several others, but let's just leave it as an exercise for the reader. 4. Several "visual" books I have stumbled across which I wish I had 50 years ago: Visual Complex Analysis by Tristan Needham, Visual Differential Geometry and Forms: A Mathematical Drama in Five Acts by Tristan Needham, and Visual Complex Functions: An Introduction with Phase Portraits by Elias Wegert. (An Honorable Mention in this category goes to Topology by John G. Hocking and Gail S. Young. I see it has be reissued in a Dover Paperback, but as an undergraduate I bought a copy of the hardcover solely for their positively malevolent illustration of the Alexander Horned Sphere). 5. Straying into physics a little, there is the classic Gravitation by Misner, Thorne, and Wheeler. I was so struck by how gorgeous it was that I had to buy a copy when it came out even on my meager graduate student income.
    3
  24087. thank you so much for this classes. My math base is really weak and I start my PhD in chemistry in september. Quantum Chemistry and PhysicalChemistry are hard on calculus so this really helps me to get the basics. A question what was the website that you recommend? . Greetings form Chile!
    3
  24088. idk who is that but i wish he was my math professor, love his way of teaching, he makes math fun
    3
  24089. you're chill af thanks for teaching me calculus
    3
  24090. I love your videos please keep going
    3
  24091. i like using conjugate method
    3
  24092. You saved my life 😆
    3
  24093. they had elaborate templates back in those days for drawing the diagrams in tests and textbooks you can still buy rulers with some of the shapes and lines in them
    3
  24094. Love your videos. Its helping me with my D.E homework my university professor ain't that good. :)
    3
  24095. Some college textbooks have errors. 💩 See why people have anxiety.
    3
  24096. Thank you Sir. Useful video.
    3
  24097. Thank you! it make so much sense now :)
    3
  24098. ssshhhh don't reveal the secret
    3
  24099. Its probably best to have no music playing.
    3
  24100. I like algebra,🔥 Graph theory📈📊, ! But when it comes to Calculus Just goes over to my head ! 🤧
    3
  24101. On a side note, you have really beautiful eyes.
    3
  24102. jeff bezos
    3
  24103. It's the hair style. That's the secret. Plus, you are extremely good at your job. Thanks, profe.
    3
  24104. Absolutely ... and have the shirts to prove it ...
    3
  24105. dover has some good ones, my favorite is "Michel, Anthony N. and Charles J. Herget: Applied Algebra and Functional Analysis, 1993." but really, to learn any of the groundwork in the major areas of math, you need about 30 or 40 texts minimum, to compare/contrast and see truly common structures appear across every presentation (motivational or historical structures they dont necessarily make clear)
    3
  24106. haha
    3
  24107. Your channel by itself gives me hope that there are still people out there like you.
    3
  24108. greatly explained thanks :D
    3
  24109. I am great fan of yours sir
    3
  24110. I have this book .. really good i have read it 3 times
    3
  24111. You are pushing up the prices of used math books.
    3
  24112. Math Sorcerer, be careful old books with green covers could be very toxic. Look into it, could be dangerous.
    3
  24113. Why don't you add these videos to your trigonometry playlist?
    3
  24114. Thank u so much sir u help me alot ❤️👍
    3
  24115. Great recommendations! Saludos desde Monterrey, México.
    3
  24116. He is always uploading a video on something I’m struggling, like wtf, he knows something haha
    3
  24117. Are the Cauchy Riemann equations enough to define differentiability, by that I mean, functions that satisfy those 2 are differentiable, but are all of the differentiable functions in the set that satisfy those equations?
    3
  24118. Can you do some reviews on more statistics and probability titles? That would be great.
    3
  24119. 6. avoid being guided by motivation or gread , the wiser and older you get , the more things you see in life wich would serve as revelations , the more you d run out of motivation or interest in glory and status when this happens you ll no longuer have the strength or endurance to make an effort , unless you replace it with the duty and responsibility to create the right legacy for the future generations , that would be in my opinion by becoming a good teacher like yourself or a parent or a leader or a man of science , a teacher of a kind in general 7. having a cause or a creed to make a better existance for the children that we have existe in the world without their concent
    3
  24120. Cute!
    3
  24121. I'm half way through my masters in mathematics, need 1 more year. Was thinking of putting it on pause. But then this video comes up. Thanks.
    3
  24122. you're right, buddy, 65 years old,, French, some more neurons ! great your video !
    3
  24123. Hahahahaha I died with this profile
    3
  24124. thank you professor! this is what i needed
    3
  24125. Buff wizard
    3
  24126. Maybe the best Calcolus book (and I hate them) it's Taylor Mann
    3
  24127. thanks i'm looking now for the next vedio i hope that you are going to speak about calculus books 😍😍😍😍
    3
  24128. To be honest: in most of IT jobs such math is not needed or already implemented in libs you are using.
    3
  24129. He DOESN'T blink
    3
  24130.  @TheMathSorcerer  thank you
    3
  24131. I really like your shirt (your videos are great, too!).
    3
  24132. 0:39 As much as I'm not denying your lived experience, I think it's worth pointing out that math being "hard" is subjectivity being slipped in. Excelling at any given thing is "hard" but what often strikes me about "math people", or other interests which are often given as schenectady for 'intelligence'; chess players and economics majors also tend to be solid examples of this, is a tendency to overestimate their general intelligence based on their internalized cultural perception of that interest and make axiomatic assumptions about the world around them and treat these as a null hypothesis and themselves as the standard bearers of all reason. Let's take 'elitism' as an example; a particularly difficult or rigorous book on a subject doesn't strike me as meeting the definition of 'elitist', but to go into a video without really knowing what 'elitist' means and, perhaps for a malformed conception, defending the relevance of particularly difficult material is.. kind of illustrative of the sort of blind spots that might crop up if you're self-conception is 'doing a hard thing for smart people'. I have notebooks full of astrology, much of which is mathematical in nature and is not far removed from something Galileo might have possessed, I make no conceit of this being the study of science (though it is as complex); what would be elitist is the belief that your practice is intrinsically superior or separate from your field. Of course, I do not think this all adds up to you being some sort of 'elitist', but rather that I simply relate to dealing in objectivity and struggling with subjectivity and thought you might benefit from a different perspective.
    3
  24133. Can we have graph theory please?
    3
  24134. These videos really gets me motivated. Thank you
    3
  24135. I think we all have fond memories of learning discrete structures with applications back in the first grade. Good times.
    3
  24136. 👍
    3
  24137. Also it's interesting to hear your informal review about N.Burbaki books.
    3
  24138. True, but I did the same thing several years ago and I regret my decision until today. I wish I had taught. It would've made me more disciplined and helped me study better. Also, I would've had something to add to my CV! My CV is the emptiest CV in the world! And, of course, that helps you revise the maths that you've already studied.
    3
  24139. "Tomarrow"
    3
  24140. You are the best 💖 I love all your videos 👍👍👍👍👍👍👍👍👍👍👍👍👍👍
    3
  24141. Human beings are natural winners and they can achieve want they want
    3
  24142. Is it okay to learn, and or use, and or study from an older edition?
    3
  24143.  @lalalostyou6858  i believe in you gurlgoooooooooooooooo
    3
  24144.  @Ensource  thank you so much😭😭😭😭🙏🏼🙏🏼🙏🏼
    3
  24145. Nice
    3
  24146. Sad stories of Jewish mathematicians in WWII era. https://www.haaretz.com/1.5213290
    3
  24147. Awesome lecture!
    3
  24148. I ordered this book with your affiliate link 1 week ago. This book arrived today It was good , Thanks ..
    3
  24149. Okay. I think this video kinda answers the question I keep asking about should I do all of the questions or push on more aggressively. I think maybe note which questions have been done but when unsure whether to push on or do the rest of the questions push on... the other questions can always be done later to review.
    3
  24150. Right now I am reading Evans PDE's this subject incorporates all the analysis I have done any type of calculus, measure theory functional analysis etc. In my opinion the best way to read a book even if you haven't had any experience with math competitions like imo, imc or putnam is to try to solve the theorems for some time and then reading the proof in the end of the day you are going to gain more
    3
  24151. When I look at you I come to the conclusion that you must be intelligent. You look like Jeff Bezos with a wig.
    3
  24152. I am being a bit abusive on this but this was seriously funny!
    3
  24153. Instructions unclear. Got lost in the woods. Send help. . . . Seriously though, these videos make a difference and we're all grateful for you.
    3
  24154. That's a good theory but also in my country university is free and you still have to do all kinds of unrelated lessons. In order to develop a more all around knowledge. It seems dumb. But it has its benefits 😁
    3
  24155. I’m a with 😟👹🧛🏽‍♀️🧙🏾
    3
  24156. Yes brother, I needed this, I just got out of my session and it took over 2 hours to complete a 1 hour 30 mins paper on mechanics. Thanks a lot.
    3
  24157. This make so much sense and can relate to it so much but do not understand alot from it maybe if I can get some of this program pre record it will help.
    3
  24158. ....TIIIIIIMES the derivative.
    3
  24159. I only recently discovered your channel. My graduate and professional work in cyber security have brought me to strive to get others to implement the message covered in many of your salient points in this video. I thank you for your content, and the energy you bring generally to teaching, but also in mathematics itself. Is wonderful.
    3
  24160. You can't become a math genius unless you write on glass and windows with a marker!
    3
  24161. Your First viewer First liker First commenter.❤❤
    3
  24162. I searched more than half hour in internet to get this problem,now finally here I get
    3
  24163. Really that’s legendary math book plus programming books reviews I hope a python or r programming book review will be uploaded too
    3
  24164. That’s good reading
    3
  24165. hello! i love your channel! i'm so grateful for your videos... keep going, buddy! hugs from Brazil
    3
  24166. Thanks a lot!!! Ur vids help loads of students like me!!! Keep it up!!! Btw ur awesome :D
    3
  24167. Man you're the closest doppelgänger I've seen to Jeff Bezos. Jokes aside, I have just recently come to your conclusion and wish I had implemented that in university. It's never too late though (saying this to myself and everyone here).
    3
  24168. Thank you so much😘
    3
  24169. I bought this book about 40 years ago to learn C and remember reading it from cover to cover just like a suspence novel. A really wonderful book!
    3
  24170. If only they could make books as beautiful again today..
    3
  24171. It's sad paying $50 to $100 for a book that begins to fall apart after a few months, compared to textbooks even from the 1930s and 40s that look like they were printed yesterday. There are some books still of that quality but not many unless the author has serious control over the presentation, like Knuth's books in Computer Science.
    3
  24172. Same here mathematical induction was really complicated for me too😅
    3
  24173. Useful video Sir .
    3
  24174. thanks for this
    3
  24175. I am the 2nd one
    3
  24176. Kreyszig’s Differential Geometry is simply superb — crushes all the other texts in this vital area of maths, imho
    3
  24177. That address is on the University of Texas at Austin campus. The math department is actually in the Robert Lee Moore building on 24th and Speedway, or at least it was when I went to school there. The phone number was four digits because 477 was probably the implied prefix if there was one at all.
    3
  24178. I worked through a BS degree in mathematics and MS degrees in statistics and operations research.
    3
  24179. Pep talk from Isaac Newton.
    3
  24180. It would be helpful for the motivation of maths-students to explain to them where, why and how the specific math topic is usted and needed.Math- people often falsly believe that everbody should be over the moon to learn math no matter what.They get annoyed, when asked why one should learn and practise a certain topic.This attitude should be changed and math should be taught in a more approachable fashion.
    3
  24181. I’m a math major.Your videos are so useful and last 2-3 minutes.Cannot see a video more than 10,you are just perfect
    3
  24182. Never took college algebra. My last math class in high school was Algebra 2, then I tested into calc 1 in college. Now i'm in grad school, but it's been a long journey lol.
    3
  24183. Indeed a good one ❤
    3
  24184. I'm a self-taught software engineer, making a software engineer income. This reality applies to many fields outside of mathematics. I'm learning _something_ probably 14-16 hours a day, and that has been my daily life every day for the past 10 years. It's hard to teach that mentality, it's more of a personality archetype that makes self-study possible imo
    3
  24185. I am happy that there are 293 likes, and no dislikes. This is something magical.
    3
  24186. Math is long, life is short.
    3
  24187. I think Calc 3 was the hardest for me because my professor wrote the book. He was pretty brutal and that was the lowest grade I got in math. However, I will admit, the disk and shell method, and the sequences and series of Calc 2 did not come easy to me at all.
    3
  24188. Thank you sir
    3
  24189. I'm not from America. I don't know much about the American secondary education system. Serge Lang in his legendary Calculus books' foreword, however, complains about it even as early as about 1970s. High schools seem to focus more and more on the short cuts and simple tricks and techniques instead of in-depth theoretical understanding of math and problem solving skills ... It seems in my country they have employed a mixture of European and Indo-Iranian-Irelandish systems. So yes we also "apparently" have calculus-I (single variable) at high school "science" section curriculums: limits, derivatives, and integrals with analytic geometry. But it was a quite practical treatment without much theoretical concerns other than showing that the Riemann sum would converge to the limit as error goes down etc... So is this good ? Does teaching calculus-I (or II) at high school make any sense? I don't think so... As most comments indicate, the treatment is already quite superficial (it's an apparent education at best) and aiming for solving university entrance exams only. This way, students won't be learning the necessary stuff for mathematical maturity. It's quite an engineering treatment (I'm an engineer too). I believe that the American system was actually the best; giving students more intellectual treatment than unnecessary technical details, that they will learn later as they mature sufficiently. A rigorous treatment of calculus is quite impossible without "formal" set theory, logic and topology, so those who think we could teach formal calculus at the high school level are not understanding the inherent difficulty there. I think however that a more sound treatment of algebra, math proofs, statistics, and problem solving strategies could be given to them, instead of showing how to differentiate inverse trigonometric functions... :-)
    3
  24190. I appreciate ur effort... Wonder y dese vids didn't get much views
    3
  24191. Hello friends bsc MSc math ko Hindi me dekhne ke liye aap mere channel ko Dekh sakte hain
    3
  24192. I agree that giving opinions about a topic during lecture will make me remember for a longer time.
    3
  24193. Came here for math, and unexpectedly got inspired.
    3
  24194. U earned a new subscriber
    3
  24195. cool
    3
  24196. I really enjoy your vids 😀 and I have spent a small fortune buying the texts. Love books, love maths, love physics......so I have no choice really. Please keep up the good work 💙😎
    3
  24197. The level of transparency here is so appreciated. Great thoughts, thanks for sharing.
    3
  24198. @TheMathSorcerer  🤣I check every day your amazon and see new books😂 when so you manage to write them😅
    3
  24199. There's a second edition
    3
  24200. Thank you so much 🥰
    3
  24201. almost like having a little wikipedia in your pocket
    3
  24202. The problem with the ebook is, the Internet is just a click away.
    3
  24203. Great vid as always
    3
  24204. There was a second edition in 2008 and it added 5 new sections on fields, extensions, Galois theory and solvability.
    3
  24205. Great video as always! I think taking accountability is essential to a peaceful and successful life. That's why I'm a big believer of it being taught early. Cheers! :)
    3
  24206. Mir books were used a lot in India. (Soviet Union and India had good relations)
    3
  24207. Awesome
    3
  24208. Hey! Sir I'm looking for calculus book I'm just a very beginner ( high school) which book should I buy...I have calculus made easy any other sir plz recommend me some( I can't afford expensive one)
    3
  24209. Only today, I just learned abacus from tutorials, the kind taught to Indians, Chinese, Japanese, etc. It is a craze for me. I have gotten a hang of it and learned it, and that is the latest accomplishment. I enjoyed it so much that I just ordered an abacus hours ago as in link below. https://www.amazon.co.uk/gp/product/B07YZ59KR1/ref=ppx_yo_dt_b_asin_title_o01_s00?ie=UTF8&psc=1 This is what it is like to work with abacus. https://youtu.be/Px_hvzYS3_Y
    3
  24210. Literally teaching this on Tuesday!
    3
  24211. man since nobody wanna comment imma just let you know this is an extremely helpful playlist, shouts out to you
    3
  24212. Thank you!!
    3
  24213. You should make a video called "Should You Change Your Career" since I'm on the edge because I haven't really been enjoying my career in public accounting. I've invested a lot of time too and I'm even a licensed CPA in the state of Florida. I just don't feel the work I do is rewarding. I've always enjoyed studying mathematics back when I was in high school and the last class I took was AP Calculus AB. I did pass the class overall with a B, but I failed the placement test so that's why I ended up as an Accounting major. It's just one of those things that creeps on the back of my mind like what if I had majored and studied math instead. How far could I have gone and where would I be if I did? Maybe I would've been a teacher. Originally, I wanted to major in Computer Engineering, but studying math itself would be way more interesting. I've always wanted to be a mathematician and share my love of math and even discover new ideas of my own that I hope would be worthy to be published. I know it's not an easy major, but I don't mind the challenge of it either.
    3
  24214. Congratulations! 🎉 You got me through Calc 1-3 and your math problem marathons were awesome!
    3
  24215. btw some people still give their children soviet math books. They were much better structured than today
    3
  24216. c) =3^4=3^1*3^3=3^(3+1)
    3
  24217. Soviet mathematics has a high reputation Does anyone know about soviet/russian calculus books? Here, I'm taking about rigorous mathematics books for mathematicians.
    3
  24218. I try to teach my daughter to stop saying and thinking "nothing is going right", "I don't understand anything" and similar things we say - it's never true and never helpful. Try to appreciate that you do understand a lot, actually, and pinpoint the small obstacle 👍
    3
  24219. Rad teacher
    3
  24220. This really helps emotionally through hard periods of learning
    3
  24221. O man, I have to get this book.
    3
  24222. Think of what you asked "how to use math for day trading" if you want to make money you need to find professionals making money for the banks , hedge funds etc then learn a a ton of math and maybe one day you will find an application but be warned the results may not be better. think of PDE( partial differential equations) and options is PDE going to give you an edge in in trading options most likely not hell might even hurt you b/c if you get lost in computation and you are not listening to the market or you are not aware of other participants you will get hammered again that is why it is important to be at a firm
    3
  24223. I am in class 11. This entire year, 2020, I poured myself into learning Calculus to study Physics. I ysed the book, "Calculus Know it all by Stan Gibilisco" to get through and guess what the way in which Stan Gibilisco potrayed the subject made be so intrested that I would stay awake till 2 AM learning calculus and now I can do it pretty well. Calculus is so amazing.
    3
  24224. Video Content Idea: How to organize and write a PhD or Masters, Math thesis or dissertation I've currently decided to write one. And I'm not even currently enrolled in any academic program. I'm just doing it as a fun exercise. I'm thinking this might be a good learning exercise. Writing a thesis on a specific math topic where the goal is to explain the topic to someone else with clarity and detail is no doubt a really good way to obtain a firm handle on any topic. I would be interested in hearing your thoughts and suggestions on how to go about writing a thesis on a math topic. Perhaps you could even show a few examples of dissertations that have been written by others. Just a suggestion. Great Videos Sorcerer!
    3
  24225. This is how Fefferman felt growing up
    3
  24226. grasias profe, amo su cabello por cierto
    3
  24227. What book do you use in your calculus course?
    3
  24228. Under the assumption that all p, q, r,.... is not = 0.
    3
  24229. Thanks for motivational words I'm 21 and struggling to my math courses
    3
  24230. For beginners I highly recommend Tadashi Tokieda's lecture course (Geomrety and Topology). It is available on youtube :)
    3
  24231. What background do you have to have to read the book first?
    3
  24232. I’m here after I recently failed my college algebra test. 😂😂
    3
  24233. Academic lives * haha
    3
  24234. Hey I saw ur calculus 5 hour vedio u did a year back it would be nice to see more such vedios . If u have time please consider making those capsule courses to help understand maths beter thnku
    3
  24235. I am going to all my college math since last May. To help that I started following your video on the order to selbst- study mathematics. Unfortunately the books are expensive but it's ok, I won't buy then all at once. Now my question is: how does this new book fit into the order of study you've suggested before? I feel I should get to this like in two years. Thanks!
    3
  24236. Where do you buy your books? you mentioned getting it for less than 10$.
    3
  24237. Awesome list! I would also recommend: - Real Analysis by Pugh (gives a rigorous introduction without being so heavy handed like Rudin) - Algebra by Herstein (really well motivated examples) - Concrete Mathematics by Knuth (especially for people interested in CS) - Vector Calculus by Hubbard (teaches calculus on manifolds in a friendly way) After a graduate class on measure theory, Royden Real Analysis still gives me nightmares!! I would also say that while books are great, it is 10x better if you can find a class or a mentor to help guide you.
    3
  24238. I remember one of my professors lent me a chemistry lab manual made back in the 1920's and I remember reading the some of the experiments, noting the relative simplicity of the procedures, and even cooler, I saw some elements (like copper), that were denoted with a female symbol (if I recall correctly) and that blew my mind haha. I love old school texts, really gives you perspective on thinking at the time
    3
  24239. Reason #4: The author snuck in some open problems in the hopes that a clever reader will solve them :)
    3
  24240. If you want a hard copy and can only find a paperback one can get the paperback and hardbound it. The paper quality is not as good but the hard binding will preserve your copy of the information therein. Besides the craft is fun to learn and practice.
    3
  24241. Al que madruga dios lo ayuda nice one. Greetings from Mexico.
    3
  24242. This is weird but I feel like obliged to share it ... most of successful business people I know in my surroundings had average or low grades in school. But, they're all street smart people. Life is colorful.
    3
  24243. I study math for 15 to 22 hours everyday for 4 years and I still have not burned out. I enjoy it!
    3
  24244. Thank you for your very valuable words. I would also encourage to use math.stackexchange.com as a further extension of advice #1! P.S: try to look at the camera lens as if you're addressing it. This way, it would seem like you're really talking to us! :)
    3
  24245. This book has changed dramatically in the new editions, I do not think you can appreciate the beauty of this book by studying a very old edition. I have studyed just some lessons of this book, in our department's library, and find it impressive book.
    3
  24246. I learnt complex analysis on the 9th grade lol
    3
  24247. You're a lifesaver!!!!! 👍🕺
    3
  24248. Thank you my guy. this was needed
    3
  24249. I have a bad habit of going too fast on problems and then spending 10 minutes to find a silly error .
    3
  24250. The people want more induction proofs! Please do lots of them. (more tricky ones too)
    3
  24251. I collect old text books, and also read them. I especially like the early 20th century books that I remember my grandpa (inorganic chemist) used, and sometimes I will research the student names too.
    3
  24252. I hate exams in the first place, let alone online ones.
    3
  24253. Toefl is a delicious chocolate, no that is tofee 😂😂
    3
  24254. I keep getting this advice I need it to sink in
    3
  24255. Hello, Can this be used as a reference for learning discrete math for computer science? I'm on a new path to learning computer science, and regarding the math I'm a bit lost. Making the switch from a non quantitative background.
    3
  24256. this was on time! i was already about giving up now, and this vid helped me. many thanks for it!
    3
  24257. Advanced calculus awesome👍👍👍👍👍
    3
  24258. Sir post a video on equicontinous and non equicontinous of sequence of function. Thanks sir .
    3
  24259. Hello sir, I'm currently an economics major that want to study statistics in graduate school. We have 4 semesters of maths for economists (calculus and linear algebra) and some statistics/probability courses (4). The problem is that in our calculus classes, there are zero trigonometry... We have been up to some basic constrained optimization and lagrangian and will will do differential equations next year. Same for linear algebra, it's mostly matrices, without no trig.. Do you think it's a problem for someone planning to study statistics in a master ? Sorry, I know my question is not related to your vidéo, and thank you for all your contents! Cheers
    3
  24260. It’s layout is as good as strouds engineering mathematics a short and quick way to understand topics with lots of questions to reinforce the learning. Stroud was excellent the author died a while ago and I still treasure mine.
    3
  24261. Larry's wife made yet another entry
    3
  24262. I've actually learned most of this content in my theoretical foundations course in computer science. I'll be taking introduction to analysis 1 next fall and I'm excited!
    3
  24263. Very easy questions😎
    3
  24264. Calculus=❤💓💕💖💚💛🧡💗💞💝💝....∞
    3
  24265. Congratulations!
    3
  24266. Infinite series, power series, and Taylor series taught me to hate math.
    3
  24267. How many of you think maths makes us more logical ... ....? Coment below.... And maths Socerrer you tooo comment below your youngest student 14 yr old isha 👇🏻👇🏻👇🏻
    3
  24268. your videos have helped me. but i feel insecure as i have had only one math professor i felt i could resonate with. i try to keep email contact with him from time to time. he mailed me once and i jumped for joy i was so happy. he told me that i could still do math for fun. i find it is difficult to do math problems which have words. i cannot imagine these things well. it is the same for me with statistics. if you have any advice. please, it helps so much for than you think sir. your passion is a light in the darkness of obscurity in the journey to precision
    3
  24269. I needed this too
    3
  24270. Thank you it helped a lot
    3
  24271. very true!
    3
  24272. THANK YOU!!
    3
  24273. Hii
    3
  24274. Thank You for Your Wishes, Exam went Well !
    3
  24275. What is your go-to book for Elementary Differential Equations; course 1 after Calc 3? I took it this fall and failed miserably at it due to no formal lecture due to you-know-what. Bare in mind, I did pretty decent in Calc3 getting a B from one of the arguably most rigorous professors at my school. I should have struggled, but I should have been able to pass. I just cannot teach this stuff to myself. We are using the Zill book which I believe a lot of the problems in your DiffEq playlist are taken from. Though if you were to grab ONE diffeq book for a new learner, which would you pick?
    3
  24276. This set of problems is an absolute lifesaver, I felt so lost just trying to plug through the textbook with no help. Thanks for this channel!
    3
  24277. A subscriber told me about this magic book-its pure maths.
    3
  24278. Very nice view point. Congrats.
    3
  24279. Math Sorcerer, thank you for these talks. ❤
    3
  24280. Thanks you explained it better in 1 minute than my teacher did in 45 minutes
    3
  24281. Great explanation! I remember doing these years ago when I took my first course which was proof-based, rather than calculation based.
    3
  24282. you're amazing; dont change a thing
    3
  24283. thank you so much! this was very helpful :)
    3
  24284. Agreed as critical. I'm far from a perfectionist, but it OFTEN happens that we may feel compelled to go one of two ways : rush through, get the answer, get the work done, prep for the tests/exams ... OR study, find some statement or text and then fan that spark. For instance, back in grade school (pre college) when they said exponents are subtracted when dividing, try to focus on the ramifications of that -- feel free to dwell in it. Notice that it shows why a number over itself is one, and it shows how negative exponents work. It's a throw-away topic, and you could just take-away 'ok, it's division, just subtract' but by doing so, you do yourself a profound (long term) disservice. And remember, most of the time, the teachers would LOVE to help you dive more deeply into these finer points (maybe not during the class lecture itself tho).
    3
  24285. I noticed that I subconsciously tend to compare myself to some of the other students in my class, they always seem to have everything figured out and I feel so stupid next to them. got any advice? - I started studying electrical engineering this year and I really like it, alltough it is kinda overwhelming....
    3
  24286. Thank you sr. I really appreciate your videos
    3
  24287. You are making me cry with this video sir.
    3
  24288. That was my book when I was in college in the late 90's. It was considered the Bible of Math Majors during my time.
    3
  24289. I agree 100% with your comment.
    3
  24290. Here's a sillier version: I enrolled in Calc III. Applied Mathematics and Applied Physics requires "Multivariable calculus" hahah Too late to drop, so I just switched my grading to P/F.
    3
  24291. Thanks!
    3
  24292. These things should be taught at an early age in schools. Thanks for the vedio👍
    3
  24293. ​ @TheMathSorcerer This video regardless that it isn't at the New Year is exactly what I needed to hear today thank you. And cheers Merry Christmas to you as well.
    3
  24294. ❤
    3
  24295. One question :is there any end point in math? U should've named it start to mastery.
    3
  24296. Thank you so much! you are one of the best channels for short but great videos teaching math and calculus.
    3
  24297. god bless u
    3
  24298. "Just do every single problem in the book." Verbatim.
    3
  24299. Love from india assam
    3
  24300. I'm going into the second year of my mathematics degree and I really needed this. The first year went reasonably well but not as well as I'd hoped and it's because I didn't believe that I was good enough. I hope to take this better mindset into the next years of my degree and do much better. Thanks
    3
  24301. What one fool can do, another can. —Fool.
    3
  24302. 4:25 I just remembered that my country removed sets from 9th grade...
    3
  24303. I felt most of the video. Homework didn't count for grade but it was necessary to be prepared for the test, in addition to do all the book exercises. The most stressful part of my calculus class was that I was forced to finish half of the semester online because of the covid situation. 😥
    3
  24304. showed up when searching "derivative of square root of 2 explained in detail"...
    3
  24305. Thank youuu! more vids to come! God bless
    3
  24306. Thank you very much! Looks like an amazing book... I would love to check it out. I love the dedication at the beginning of the book. I always get annoyed when I see maths authors (and others) dedicating their books to their wives and children who have probably never contributed to the book. I feel delighted to know that there existed a man who valued his friends/colleagues and gave acknowledgement where it is truly due. I think the man was amazing and the book is amazing, too! I'll definitely give it a read!
    3
  24307. I got undertale vibes from this - "it fills you with determination" Anyway great video :D
    3
  24308. Very nice. I like the way the book uses colour images and colour generally as a pedagogical tool. The obsession in some quarters with 'rigor' sees math books emerging that are way too telescoped in presentation and 'monochrome' in outlook.
    3
  24309. How would you schedule your day as a math student? It’s been challenging for me to figure out a routine, especially one that keeps me somewhat physically active as well.
    3
  24310. Love the quotes! Keep them coming
    3
  24311. Things you should never say to your math teacher : What's your favorite number ? Mine is 69.
    3
  24312. Did you got these muscles by lifting math books?
    3
  24313. Could you do a vid about .. difference with math and physics .. I want to go to the physics route .. I and I wish you could give. SoMo more info thanks
    3
  24314. I end up asking quedtions after class cause I dont have questions that second but once i start going through the stuff I just learned then I have questions
    3
  24315. You help me to believe in myself
    3
  24316. This is sooo good!!!!! Thank you!!!!
    3
  24317. You just collect them or really learn from them, coz your books look quite new, seems like you haven't opened them 😁
    3
  24318. Thanks for your work lad
    3
  24319. thank you for all of this. it has been really helpful
    3
  24320. Real Analysis by Royden and Fitzpatrick 4th is a good read.
    3
  24321. Dude went david goggins mode
    3
  24322. way too much for most people...
    3
  24323. Yes, the work problems gave me HELL. I was ok with fluid analysis (I don't know why), but the integration problems about a rock being lifted from a 50ft-tall building, blah, blah, blah - TERRIBLE. I also hated the integration techniques, although I got better with a lot of practice. For some reason, I didn't struggle with series and sequences. Those were almost intuitive to me. I was a little thrown off by the shell/washer methods but not for long.
    3
  24324. Hey, could you make a video about the book What is Math by Richard Courant? Thanks!
    3
  24325. the world of pedagogy....
    3
  24326. I love your video, and your shirt ❤
    3
  24327. I tell my students you can get an A only if you know the definitions.
    3
  24328. thank you very much, explained it perfectly now you have a sub
    3
  24329. you are making a lot of students life easier with this videos please keep making math videos
    3
  24330. The US Naval Observatory uses spherical trig to keep our gps system running.
    3
  24331. Good point. I like to believe that math started out as a means to understand the world around us. But, somewhere along that path, it reached such a level of abstraction that it didn't matter to mathematicians whether it was applicable in the real world or not. It was then that mathematics became an art. One that will always grow, but never evolve, for once a result is established it will remain so for the rest of eternity.
    3
  24332. Thank you sir, keep it up👏👏👏
    3
  24333. This is a great video. Very honest and very helpful. Thank you.
    3
  24334. To make the data closer to reality, the probability of a serious case is actually a bit higher. The 8000 figure are serious cases for patients who are currently ALIVE. Unfortunately, the virus has also claimed about 2800 lives as of Feb 29, all of who must had been serious cases before they passed away. May all the dead rest in peace, and all the other patients fight to recover.
    3
  24335. Thanks for this and for your book reviews. I'm revisiting my math undergrad curriculum and was looking for a better linear algebra book and Anton seems a good start. What program do you use to generate these videos? I'm an educator too (econ) and a bit daunted by the options.
    3
  24336. Wowowowowowow
    3
  24337. I learn basic math 🧮. I just suscribe ur channel
    3
  24338. Och, I just can't stand number theory. It seems like one needs to be an ascended being to really get it, like some Arthur C. Clarkeian Star Child.
    3
  24339. 😂
    3
  24340.  @TheMathSorcerer  hey I need to master calculus, does it come under pure or Applied??
    3
  24341.  むく  I don't know if you are joking, but Riemann hypothesis hasn't been proven by anyone (at least not that I know, I hope I'd know if it had).
    3
  24342. Thanks👍🏿👍🏿
    3
  24343. I think it may actually be out of print—it doesn’t show up on Dover’s website even. That’s a shame.
    3
  24344. Studying math can get lonely very quick. It's great to know you are not alone so thank you for posting this type of videos.
    3
  24345. Thanks dude 🦾
    3
  24346. Thank you for your videos.
    3
  24347. man, if i keep studying numberous math, can i get lenghy curly hairs like yours?
    3
  24348. Thank You!!!
    3
  24349. 🫠
    3
  24350. How have I come here on my 3:00 am YouTube binge…
    3
  24351. Great beard!
    3
  24352. Master yi as ad lmao
    3
  24353.  @TheMathSorcerer  wow appreciate the motivating words! Thank you so much
    3
  24354. New subscriber so excuse me if this has been covered by prior video. The Dark Side of Self Study popped up in my feed which I watched. Then I watched this video. I was wondering if you had a recommendation for a self study book on fields? In dark side video you mentioned you used Beachy and Blair Abstract Algebra to learn fields. I have a Bachelor's in electrical engineering as a starting point. A mathematics book geared toward physics applications would be nice. Also, thank you for these videos.
    3
  24355. Great I had also a doubt about the cosine Sir, There's an open problem about the convergence of the following series by the way Σ1/(n³ sin²n) n=1 to infinity !!!!!
    3
  24356. It converges
    3
  24357. You are a gift from God! Muchisimas gracias, no sabe cuanto le agradezco que est`e subiendo estos videos.
    3
  24358. Thanks
    3
  24359. 2:54 I hate this so I act dumb on purpose around most people lmao
    3
  24360. Been there man
    3
  24361. I failed Real Analysis. I will take a look at this book during winter. Thank you for the recommandation Mr. Sorcerer.
    3
  24362. Thanks for the great content keep up the good work!
    3
  24363. IT'S SO EASY! Too bad that finding anti-derivatives is hard as "F"!
    3
  24364. Your videos are really too inspiring, with each one I feel the need of doing math, and I love that. :D
    3
  24365. Appreciate the video Sorcerer! Time to go work on some proofs.
    3
  24366. Yes some of the dover books are available in pdf format also
    3
  24367. thank u for the video!
    3
  24368. I've been looking for jobs I would qualify for with a math bachelors here in Dallas, Texas and all I find a data input or data analysis jobs with programming requirements higher than one would get in a pure maths degree. This worries me.
    3
  24369. I've always assumed it ends when you learn how to divide by zero and it's no longer undefined.
    3
  24370. I am in this exact situation, except that english is the lecturers second Language, and also, everybody else's second language in the class. (IB-college/upper secondary)
    3
  24371. i think one must not compare at all with anyone with regards to anything This is a factor of happiness
    3
  24372. I agree with you 100%, professors are a experts who are there to translate the information in textbooks. That’s why sometimes it matters who teachers the course.
    3
  24373. Nothing in the world can take the place of persistence. Talent won't! Nothing is more common than unsuccessful man with talent. Genius won't. Unrewarded genius is practically a cliche. Education won't! The world is full of educated fools. Persistence and determination alone are all-powerful.
    3
  24374. If anyone sees this, 1/2(e^(x)+e^(-x)) is just coshx and you can use that to solve the problem as well.
    3
  24375. Why have you yet to audition OpenStax which has all the math up to Calculus 3 for free…?
    3
  24376. I have a problem with my hapiness right now. I’m Just finished my second year of physics undergrad, and the subjects i Like the most were the maths ones. How do i know if a Like maths more than physics? What should i do if i Like more maths? Change my degree? Finish physics and at the same time stidy maths? Please help!
    3
  24377. Is there an ebook for this?
    3
  24378. Any recommendations on where to start with discrete math?
    3
  24379. Professional way of writing on board
    3
  24380. The Math Sorcerer 5 years old and you're still responding. love that
    3
  24381. Good video! My favourite part of calculus so far is drawing diagrams on related rates problems.
    3
  24382. 2 + 2 = 4 Thanks youtube but I think I'm good
    3
  24383. Lovely video, as always 👍🏽
    3
  24384. That was very much useful, but the problem you chose is kinda "cheated". Try this one for example: n*x^2/(n+x)
    3
  24385. Great vid as always
    3
  24386. Sir ,You are doing Great work .keep it up .I have a request to you ,long ago you made video on the books in your first row of book shelve ,can you please complete that by making video on all other books too . I am always fascinated by the books in your background.
    3
  24387. short crisp and just to the point !! thank u !
    3
  24388. You have really unique, helpful, and overall good content
    3
  24389. This is why you need physical books, not soft editions that live on a computer. Computers can lead you astray.
    3
  24390.  @TheMathSorcerer  The only reason I got it cheaper, is what I believe was a confluence of it being a book written in English and the seller only shipped within Spain. Now whilst most people in Spain can speak English, naturally they will prefer books written in Spanish, so it wasn't going to sell that quickly. I found a website that you can procure a local buyer and ship it to where you want, in my case, it is Australia. It was just dumb luck on my part. There is actually a pristine, like-new copy of Woods 2E in Australia, in Melbourne. They want an eye-watering $1655 US !!
    3
  24391. Extra because I'm gonna start with proofs XD
    3
  24392. hiiiii after so long 1stt
    3
  24393. Probably what I will say next is already known to everyone, but if someone does not know, it follows. As a self-taught person, I learned that any exact science study, perhaps any discipline, should be done in a quiet place without distractions (there was already a video on the channel dealing with this subject). In addition, I always got better results when I took at least three readings from each chapter. First I try to have an overview and, therefore, I do not dwell on details or further reading. The second reading aims to understand how the sections of the chapter connected and solved the examples for me. In the third reading, already understanding the general purpose of the chapter and how things connect, I dive into the details and summarize what I studied. In that last reading, I solve ALL the problems. PS: All readings with pencil and paper.
    3
  24394. I have included some of the ideas you presented in my self study routine. I consider this strategy effective.
    3
  24395. Books: 6:00
    3
  24396. In the decades before "new math" and "Common Core math," the author of the book, Prof. David Eugene Smith (1860-1944), was known as the "Father of Mathematics Education" in the United States. Not only did he write many textbooks covering the subjects of arithmetic and various mathematics taught in elementary, junior and senior high school courses, but he also wrote articles and books on math pedagogy for elementary, junior and senior high school. Initially a lawyer with his father, Smith became interested in teaching mathematics and studied advanced mathematics under the noted German mathematician Felix Klein (among other accomplishments, Klein described the concept of what is now known as the "Klein bottle", which is a 3-dimensional version of the "Mobius strip"). Smith was not a wishy-washy mathematics teacher. In 1894, John Ellwood, a Pennsylvania school principal, wrote an article, "Remarks on Division," in the American Mathematical Monthly (archive.org/details/sim_american-mathematical-monthly_1894-02_1_2/page/47/mode/1up). In the next issue David Eugene Smith responded with a sharp rebuttal, "Note on Mr. Ellwood's Remarks on Division" (archive.org/details/jstor-2971644/page/n1/mode/2up), that begins: "Reluctantly, feeling that it is almost unnecessary, a note is offered on Mr. Ellwood's article on p. 47. Such articles float through the primary journals of education now and then, and possibly do no harm that can be undone by replying to them. But in a mathematical journal such pedagogy should not go unchallenged."
    3
  24397. A similar video for Discrete Maths? Also would like to know your fav books on logical puzzles, I recently got some Raymond Smullyan's titles and enjoyed solving them.
    3
  24398. If you were stranded on Bora Bora with a beautiful girl and only three math books which would you choose?
    3
  24399. Your advice is very helpful Thank you.
    3
  24400. I totally agree!!
    3
  24401. I look to others for inspiration by what they do and how they present themselves. Not all went to school... Working in a shop, many people I encounter don't have anything impressive about themselves, but some do. There are some that just by their work ethic alone, keeps me motivated in a positive way to always give my best. An old coworker once told me we make friends sometimes with others and it's like a highway. We get on the freeway and ride alongside each other for a while and then take different exits here and there. Maybe we meetup again down the road. This has been the case for me. My role models come and go as I stay busy and am involved in achieving goals.
    3
  24402. Thank you for being a professor that we all need, but don't have at our schools/universities. You advise us and motivate us, beside the math teaching that you do. This year I got an A in mathematics, and I am looking forward for the rest of the maths that I have to take (studying mechanical engineering right now, and i never was particularly interested in maths, but you helped me change that) So thank you a lot! You certainly are making a difference for us that are watching :D
    3
  24403. What are some good Real Analysis and Multivariable Calculus books you recommend for undergrads?
    3
  24404. Thank you for sharing! I think that math is the art of creating and subsequently solving problems, and obsession is a great driver for doing so. I think that it makes for an interesting cycle; The obsessed discover a new question and then they become even more obsessed!
    3
  24405. Hey, I really appreciate your channel and I wanted to ask you a question if that's okay. I'm a senior undergraduate and was hoping to get into graduate school. However, my grades this semester are basically in the C range, and I wouldn't be entirely surprised if I failed a class this semester. I feel like it's over for me and have been finding it difficult to motivate myself. What do you recommend I do?
    3
  24406. Qui est dans 2024? ❤
    3
  24407. Thank you
    3
  24408. Wow sir👍.
    3
  24409. new video (change of venue/mindset) perspective.....nice
    3
  24410. The thing basically becomes (8²)^⅓
    3
  24411. Really thanks for your recommendation, this book is really really good, you save me ton of time!!!
    3
  24412. this vid came in clutch great job my man simple yet full of detail
    3
  24413. Thank you Sir for encouraging us ...☺.
    3
  24414. Hey Man! Love the videos, got into math beacouse of you!
    3
  24415. It's harder to work on math at home, it's easier to get distracted. It's better to learn when working with others.
    3
  24416. Bros built
    3
  24417. Those topics are 🧑‍🍳😘
    3
  24418. "It's Your Thing" ~ The Isley Brothers
    3
  24419. Is it normal for a math majors in america to have 3 calculus classes? we just have 1 and then get straight into analysis
    3
  24420. I need the 11th edition lectures plz someone help me Our study is online because of COVID and also I have internet problem too much I can’t understand the teacher lecture plz some one give a good idea I’m so worry about my studies
    3
  24421. Awesome
    3
  24422. Maths is Life....
    3
  24423. Be more clear is difficult :) tank you.
    3
  24424. I mark that shit up like a notebook I wouldn't be able to understand anything otherwise
    3
  24425. I am the clean type with only expensive books. I mark few copies of cheapest books (except vintage ones, as I respect antiquity). For instance, I bought 5 identical copies of slim books on tables and formulas. I mark two of them, while others clean. For clean books, I use sticky notes of assorted sizes and colours, instead of ugly highlighters on text or gritty pencils underlining sentences. I sometimes cut sticky notes into narrow strips and position strips vertically in margins near paragraphs of great importance. On sticky notes, I scribble summaries, comments, doodles, etc. When done, I attach notes to pages. I also use large bookmarks (old cinema leaflets with blank back, approx. 3.5" x 8") and scribble infos or illustrative doodles thereupon. Weeks or months later, I discard notes and sometimes write new notes to replace the old. When I no longer need the books and wish to sell them, I just remove notes and instantly, the books look as good as new and be fit for selling.
    3
  24426. I have been learning e this week and have watched few videos on solely e. I now know what it means. 🙂
    3
  24427. Love this.
    3
  24428. Your videos have helped me so much! Thank you for all of the tips!
    3
  24429. Nice
    3
  24430. Is there any way to reach you out? I'd like to speak to you about why although I am about to become a business major in my homeland Colombia and I'm endeavouring to learn pure mathematics. In fact, just yesterday I proved my first theorem all by myself. After a whole year :(.
    3
  24431. That is absolutely right on! . . . it is so much more rewarding when you follow your interests. I recently noticed that Facebook now has many groups that you can find to be of far superior quality than just general feeds . . . for example, I am interested in learning various languages, like I want to learn more Ancient Greek, Latin, French, more Artificial Intelligence and improve my math skills . . . all of that can be done now thanks to the many people who have formed groups that address these subjects . . . . if you happen to be a lifetime learning like myself, you should search the groups section for your interests . . . . this is much better than general channels, and it will lift you up . . . I actually wrote a program in C# to use for self-study, it highlights and colors text, you can create quizzes, it can search out language grammar, at the moment I am working on adding math symbols.
    3
  24432. The millennium problems won’t see this coming
    3
  24433. In your comments about the first book you mention: Discrete maths and Appliocations by Susanna Epp you say that you need zero algebra for this book. But in the second paragraph of the Preface for this very book, the author writes: "A good background in algebra is the only prerequisite..." ???
    3
  24434. You are a god. Thank you.
    3
  24435. U r awesome ur making videos for particular problems ❤️❤️❤️
    3
  24436. Your videos are awesome.
    3
  24437. Short and sweet, but really helpful!
    3
  24438. Love the background music
    3
  24439. Gandalf's Gym Routine
    3
  24440. Professor Math Sorcerer, thank you for the video. Math books are needed in Science and Applied Engineering.
    3
  24441. do you think there's an IQ requirement for getting a math degree? Obviously excluding the extreme low range, what I'm asking is if you think a person of average or slightly below average intelligence can learn to grasp high level math.
    3
  24442. Congratulations on half a million subscribers! You inspire me to start a YouTube-channel and teach others mathematics!
    3
  24443. Thank you so much you help me greatly.
    3
  24444. The fanciest math book ever in my opinion is Elementary Number Theory: A Problem Oriented Approach by Joe Roberts. The whole book is written in an unconventional font that feels like its handwritten. Its a very rare book now I think.
    3
  24445. Thanks !
    3
  24446. Can you review Abbott's Understanding Analysis?
    3
  24447. I'm 16 years old and I've tried to do some olympiad problems on my own but I'm still far from IMO level. I reckon I can start solving these after I get my math degree if I end up studying it. Also I have a question, I live in greece and I plan on doing undergrad here, If I pay attention and get good grades do you think I'll be able to get accepted into a respectable grad school and have comparable knowledge to other students? thanks.
    3
  24448. Damn this was very inspirational! I am so eager to become a mathematician but I'm stil at precal, still got long way to go!
    3
  24449. Those are some great recommendations! Also, wonderful presentations.
    3
  24450. Thank you! I hate when my notes from class make almost no sense after a few days but I’m glad YouTube is around!
    3
  24451. The feeling stupid experience happens all the time when you're in school and listening to a lecture and just not getting it. It's not unique to self-study.
    3
  24452. My degree is in mathematics. I have a very vivid memory of a unique studying experience. I was in my dorm room, at my desk, reading through the assigned next chapter for one of my math courses. And it was like the information just flowed directly into my brain. It was all so clear, so obvious. Absolutely no need to read it over and over again or to follow along and do the exercises myself. The knowledge went directly from the page into my brain. A glorious feeling. That never happened with any other book or even any other chapter in that same book, so it would seem it wasn't the book author doing an exceptional job of explaining the ideas, it just, somehow, happened. It's never happened again. The fact is, Math is hard. And lots of other subjects are just as or even more difficult. As you point out, it's gonna take some effort on the student's part to "get it". And if anyone else ever had that same "direct into the brain" experience and understands HOW it can happen and more importantly how it can be MADE to happen, please share. :) [ And, no, for me it didn't involve consuming any drugs ;) ]
    3
  24453. Where to get second hand books online ? I am based in India.
    3
  24454. Congratulations sir 🎉🎉🎉🎉🎉🎉👏👏👏
    3
  24455. I am tempted to suggest that you appoint yourself chairman of the curriculum committee at your own virtual university, then assign yourself to write your own continuing curriculum for the academically addicted as an aid for professional perspective. Math is a huge subject matter; happy exploring.
    3
  24456. Greetings Mr.Professor, Thoughts : - Classic Maths Textbooks invokes Passion. - Modern Maths Textbooks looks Informative. Thanks.. Take Care, Professor. With regards, RanjithJoseph (R.J)
    3
  24457. I am struggling with the same problem in understanding the definition of the limit, as I went through the concept today. I understood most of the things in Calc 1 and Calc 2 at high school, but today when I went through the definition of limit, I sat in my chair for hours trying to explain to myself why this definition makes sense. I used the textbook by Thomas when I went through this definition. It is funny how youtube algorithms decided to take me to this video.
    3
  24458. Your videos on DE are a blessing, how you break it down , and your story is encouraging. Thanks
    3
  24459. Thank you very much for these book reviews! In general your channel is awesome, keep it up :)
    3
  24460. Once Richard Feynman said: "If you're able to teach or re-explain a concept to someone with your own words in a simple way, you nailed the concept." So Math + Talking = Better Math. Agree. I bet you're an exceptional math professor. I feel your enthusiasm and energy to help students to succeed in math.
    3
  24461. top tier video. thank you!
    3
  24462. I just don't want to feel existential dread
    3
  24463. Wow, thank you so much! Excellently explained and easy to understand after you think about it a bit.
    3
  24464. I imagine cheating from their point of view is like watching someone using an aimbot in a online shooter game. When you compare it side by side to another player you can clearly tell someone is cheating. Even when you’re not totally sure right away you watch that person for a bit and that usually confirms yes they are using an aimbot
    3
  24465. 6) I don't want to know how dumb I am.
    3
  24466. Algorithm??? Algorithm...
    3
  24467. yup me too ahah
    3
  24468. I treat the pattern recognition problem in a meditative way. I write the given theorems over & over on a white board as if it were calligraphy. You see zen calligraphers writing characters over & over.. that’s how I do it.. with a lot of enjoyment. After some time the ideas just sink in, without trying. That eastern Daoist philosophy idea, “doing without doing” is how I do it these days. Don’t know if it’s fastest or best, but to me it’s the easiest way.
    3
  24469. Great book sir!!
    3
  24470. I want all these books.
    3
  24471. hey thats helpful
    3
  24472. Integration, Network Theory, Basic Electronics 😟🤯
    3
  24473. I love the table of contents! I need this book. Thanks so much for telling us all about it. It’s my birthday on Tuesday so I just ordered it. 🎂
    3
  24474.  @TheMathSorcerer  😭😭
    3
  24475. Could you please tell me how algebra textbook smell ?
    3
  24476. Never woulda guessed young Rob Halford was a math wiz with a full head of hair. \ ^.^ / Thanks for saving my neck this semester!!!
    3
  24477. I always thought it was Thomas' Calculus, 1953. I have a book called "Problems in the Calculus" from 1915. Its a little tiny thing. I used Thomas/Finney 5th ed in high school BC Calc in the early 80's. I use Saxon to teach my high school juniors AB AP Calc. They are a little young to take in Calculus in the manner and sequence of modern calculus books.
    3
  24478. Negativism.
    3
  24479. This is really great advice! I started college as a Software Engineering major, but once I took Calculus I quickly decided to also go for dual degree with Applied Math. I'm still not sure what good the math degree will do for me in a software field, but I felt a strong drive to take more math classes because of how Calculus opened my eyes to the beauty of math. I dropped Algebra 2 in high school because I didn't understand why it was useful (nor did I care at the time), and that's where my math education stopped until college. In college I've never had a problem with my math grades because I look for the "why" in my math. Having a deep understanding of why math works makes it much easier for me to spot errors in my work and develop an intuition for whether I am on the right track so I don't waste my time working in the wrong direction. I spend a lot of my free time watching math teachers on YouTube and it only serves to increase my interest and fascination with math. I'm taking my first junior level class on mathematical proofs next term and I've heard it's very difficult but I'm so excited to learn a new way to understand math. Even if I never make professional use of my math degree, it's constantly teaching me new ways to see the world through the lens of math, and that perspective will stay with me my whole life.
    3
  24480. thank you sir
    3
  24481. Thank you sir, this video helps me a lot.
    3
  24482. Thanks
    3
  24483.  @TheMathSorcerer  I'm on indefinite integrals and there's just so many formulas to learn man!!! It's like impossible for me to learn you know cram all the formulas before one night of the exam! Please Help .
    3
  24484. Oh you are correct. Work comes if the government is out of the way.
    3
  24485. Study Groups - All the way. Math is beautiful, everything is interconnected.
    3
  24486. Your English is good
    3
  24487. I alw talk like this when I'm driving 😂😂😂❤❤❤
    3
  24488. Thanks a lot! You're a great teacher and also very funny haha!
    3
  24489. Stock prices move according to the brownian motion, so we can apply math methods to predict the price at least approximately, build stochastic differential equations and perform Monte Carlo simulations, that's exactly what the guys from quantitative finance are doing
    3
  24490. Peace while running. Especially in nature. And especially after a long run, that feeling of utter exhaustion and a job well done feels almost the same as the feeling you get after finishing a long drawn out proof.
    3
  24491.  @TheMathSorcerer  Excellent video. Please do one exactly like this on applies math.
    3
  24492. Does the exam specify a value to be used for pi? Also, Matthew Fontaine Maury is considered the father of modern oceanography. His statue has been recently removed, because he left the US Navy and went to work for the Confederate Navy. He went back to work for USN after the Civil War.
    3
  24493. I was born in 1967... my brother was born in 1962. In 1972 my dad bought a calculator,.... it was over $100. Yesterday I bought a calculator 100 x more powerful for $14.00 My, my how times have changed.
    3
  24494.  @georgegrubbs2966  😊 I had the TRS 80 when the ommodore 64 were brand new. Talk about old times
    3
  24495. Thanks so much sir!!!
    3
  24496. Thank you
    3
  24497. Awesome video !
    3
  24498. Do you have a science channel?
    3
  24499. One thing to get clear before you scared yourself away from the word GENIUS MIND is that, is being a genius exciting for you? If your answer can come from a place of excitement, a sense of self realized achievement without validation from others and a purpose to impact the society, then, ALL THE DARK TRUTH does not really matter anymore, because the dark periods are your exact treasure, your exact sense of self worth and value that will attract a wellbeing you that is fully supported by resources in all ways and all kinds, that is applicable and necessary for you and whatever you venture.
    3
  24500. I occasionally do/have had to do 10+ hour days of study, I tend to find 3-4 hours a day (4-5 days a week) is my comfortable limit (along with as many hours of teaching, as I am also an educator). At 10-12 hours each day, every day, you are running a risk of burning yourself out. You may consider scaling down from 10-12 to ~8 hours, this might be more manageable, you may need to restructure your program of study to accommodate this change, but if it improves your life, it might be worth it.
    3
  24501. Wow! You pretty much summed up my entire community college and University life at 2:58. I can't believe there are others like me, who would rather learn other things when they "have" to take a class.
    3
  24502. oh man! I had to dig deep to remember this one! haha
    3
  24503. 1st
    3
  24504. Good job, you're a good teacher, i'm learning english and I'm very happy to practice with you and your awesome form to solve set theory (sorry for my bad english).
    3
  24505. Keep up the good work. You are a great motivation for a whole lot of us.
    3
  24506. What do you think Schaum's outlines?
    3
  24507. You look like Thunderf00t with a gym membership.
    3
  24508. I agree that the notation af for function application is horrible. I suspect they're trying to match af = y to the function "type spec" f : A –> B, when it would make more sense to write f : B <– A to match y = f(a). It may seem silly, but in my mind's eye, I see argument a (of type A) passing leftwards through function f and out pops y (of type B)! It also makes the bookkeeping for function composition easier. With g : C <– B and f : B <– A, it's easy to see that (g o f) : C <– A. (I guess they use the same reasoning for their permutation multiplication order. Fraleigh switched to the usual notation for function application and perm multiplication in the 4th edition of his book.) Anyway, that's my two cents' worth! Nice videos :)
    3
  24509.  @TheMathSorcerer  The problem is wondering if my proofs are correct. I got booted off a math board ‘cause my proofs were wrong or reasoning bad. So l went back to square one. Learnt symbolic logic & got How to do & read proofs by Solow 5th Ed. Did 95% of all problems
    3
  24510. Thank you so much!
    3
  24511. <e > is improper subgroup.....
    3
  24512. This is great!
    3
  24513. Do you happen to know TC7 by Louis Leithold?
    3
  24514. You are a godsend
    3
  24515. I am currently reading this book.
    3
  24516. 4:47 woah, that's a nice book
    3
  24517. This video really resonated with me. I am 35 years old and getting ready to go back to school to study math. From a very young age I convinced myself I was not smart enough to do math. I struggled to memorize my times tables even though I could quickly to the mental addition to arrive at the answer. In 8th grade, I too was pulled out of algebra class and put into per-algebra. From there I was totally convinced so I took all the low level math classes in high school. In college I made my way through the calculus series as I wanted to be an engineer. I still was convinced I was too dumb as I could not keep up with my peers. I eventually dropped out at 23. Flash forward to now, and after a lot of self reflection, I am ready to go back. I have started rereading my old textbooks and realized "Hey I do understand this!" I just learned better study habits. I also have a child on the way and want to set a good example for her and to provide a better life for her. That and your videos have really helped me gain confidence to go back and study math.
    3
  24518. Going to take Cal3 and linear algebra in the fall
    3
  24519. ياو زكك
    3
  24520. He was mathematician from atleast 250years forward....
    3
  24521. LMAO
    3
  24522. Oh my god!! Thank you for this. This video will be watched again and again
    3
  24523. That was me when I was taking a course in abstract algebra. I lived it. I loved it! It was my whole day every day. Luckily my husband was also taking the same course. Not that we shared ideas. The teacher used to laugh at how different our approaches were to each problem.
    3
  24524. How does this book compares to the Sussana Epp or the Chatrand?
    3
  24525. Thank you very much for posting this
    3
  24526. Thank you so much sir for sharing your beautiful 📚 it looks really delicious
    3
  24527. Books like this are Time Machines.
    3
  24528. Lol the window stuff, very john nash
    3
  24529. now everything is going to be online.
    3
  24530. When did Saul Goodman become a math professor?
    3
  24531. Thank you.
    3
  24532. Good morning sir
    3
  24533. great video
    3
  24534. Don't understand at all, what math is this?
    3
  24535. We really need it!
    3
  24536. Ok nice
    3
  24537. Hey maths sorcerer❤️❤️ why - * - is plus, how quadratic formula works proof ,why sin 90-theta is cos theta , I want to know why formula works how formula works why equation works how equation works proof of formulas proof of equation rules of mathematic logic behind rules. I want to logically and conceptually understand MATHS. I WANT TO KNOW HOW MATHS WORKS and many many more . I want to understand it deeply like mathematicians i want to understand maths like mathematician I WANT TO FEEL IT . I AM IN 10TH CLASS . I WILL BE VERY GRATEFUL TO YOU IF YOU WILL HELP ME AND SUGGEST SOMETHING LIKE BOOKS RESOURCES LECTURES OR ANY OTHER STUFF THANK YOU ❤️❤️.
    3
  24538. The stamp on the title page says “LSU.” Nice!!!!
    3
  24539. I never buy anything off YouTube but math books. Well done
    3
  24540. Math Chad
    3
  24541. hahaha. I've solved it before watching the video. I'm reading sussana epp's discrete math book which you recommended. I'm on chapter 5(induction , recursions and recurrence relations). It's been a month since i began. Thanks a lot.
    3
  24542. By the way, you could've just used AM-GM on the denominator to bound f_n.
    3
  24543. very helpful! Thank you!
    3
  24544. Im going to save this to favorites when im doing research for my PhD. And Elliptic curves is making my head spin. My hand has never been so tired from writing ever.
    3
  24545. I have a question.. how much does math help with computer science? If you know the answer tell me please
    3
  24546. I’m taking calculus 2 in the fall and I’m scared
    3
  24547. BRO, me too lol
    3
  24548.  @u.v.s.5583  exactly
    3
  24549. So Math Sorcerer, I just woke up about 20 minutes ago and your video--THIS one--is the first video I've watched this day, and I'm really happy to have started my day by watching how you simplify expressions like these. Thanks lots for producing and posting this one!!
    3
  24550. green is a terrible color 0/10
    3
  24551. I have noticed some people seem to have more self awareness than others.
    3
  24552. Hey Math sorcerer. I’m a new subscriber to your channel, and loving these type of videos. Would you make a video on your journey through education. Were you a natural genius at maths or did you have walk out of class struggling to understand what happened and spend hours of persistence and dedication to truly master the material.Personally I am of the latter. I went from failing year 7 maths to doing a maths major at the university of Melbourne. If you could make a video on your journey and the sort of maths you learnt , that’d be great. Thanks
    3
  24553. Your videos are golden man😂😂
    3
  24554. As someone who would like to learn Spanish but also is a maths tutor, I probably should pick this one up for my collection of maths books. Does a calculus version exist?
    3
  24555. 3 semesters worth of content in that book, so 1.5 years of full course along with other subjects though.
    3
  24556. God damn you are a good looking man.
    3
  24557. *an advanced math book
    3
  24558.  @TheMathSorcerer  Amazing!! Can’t wait for you to drop those reviews.
    3
  24559. Too many people spend too much time learning Calculus instead of applying it. This is why the brain prunes it away. 🧠
    3
  24560. Your bookshelf calls me ,so attractive books
    3
  24561. I love your content, and you inspired me to make my own math channel. I would love some support.
    3
  24562. good man
    3
  24563. Great video❤
    3
  24564. Didn't believe that at first, but Jänich made me change my mind (and yes, taking notes made my hand hurt for the first two months).
    3
  24565. Hit up your local Half Price Books 📚
    3
  24566. Do you have any advice in writing proofs? I'm study math for hobby so I don't have any professor and currently I'm having problems knowing when my proofs are good enough. If it matters, I'm using Discrete Mathematics and Its Applications by Kenneth H. Rosen for learning how to write proofs.
    3
  24567. Thanksss it really helped me😃
    3
  24568. I'm fan of your hair style
    3
  24569. Such a great collection
    3
  24570. Thanks to this video, Math Sorcerer, Baum's ELEMENTS OF POINT SET TOPOLOGY is now my latest favorite book on topology!!! Thanks so much for turning me on to it!!!! Keep these videos coming, MS!!!! :) :) :) :)
    3
  24571.  @TheMathSorcerer  Jeff Bezos actually replied to my mother after she sent him an email on his official mail! We were shocked, but we could make out because he actually gave us free shipping for many orders to come, alot of coupons, and amazon pay balance! Seriously I'm not joking, we literally got so much amazon pay balance, it's crazy! This was all compensation for delivering a semi-wrong item, and guess what, that item was also replaced with an extra item for free,and that too very fast! He's a super cool guy
    3
  24572.  @TheMathSorcerer  and I swear I'm not lying!! That's why I think Jeff Bezos is going to appreciate this video sooner or later xD
    3
  24573. 4. "When are we ever going to use this in real life?"
    3
  24574. Happy New Year's Math Sorcerer!
    3
  24575. Your right. I finished taking college algebra in the fall using Alek's which is a separate program from the actual textbook. I haven't even touched the textbook and relied solely on the quick brief from each topic along with a brief video that explains the topic. Practicing problems alone isn't the same as reading which can help you remember and better understand the information.
    3
  24576. How can I know the undergrad courses which is studied in universities? At least the most common ones
    3
  24577. How much could I get a book like that for
    3
  24578. This is really a treasure of knowledge Please keep uploading Thanks
    3
  24579. !. define the problem. 2. research the problem 3. form a plan a hypothesis. 4. carry it out. 5. is it true or not? These steps are most scientific textbooks.
    3
  24580. Hi, random question: would you recommend learning Latex? I'm a Junior in HS and as of now, I plan on majoring in math and then going to med school. I just started last night and was wondering If it's worth the time that it would take to become good enough at Latex that it's more efficient than Word.
    3
  24581. OUR KING!
    3
  24582. Congratulations, Figonacci! 🎉
    3
  24583. Honestly if my professor said to me to ask questions over some beer I would totally ask all my question and probably learn so much from that, because the beer will make asking dumb questions seem ok. Seriously, everyone can do math but we need like one on one you know
    3
  24584. The book doesn't claim it's a "better" method it only uses the word "other". The word "better" is only used by the person making the video. See 10:10 - 10:15.
    3
  24585. I love you
    3
  24586. it was super helpful thank u شكرا
    3
  24587. I haven't finished James Stewart till now 😊😊
    3
  24588. The best thing about self study is there are no people involved.
    3
  24589. I am in the equivalent of 11th but in italy, i am teaching myself measure theory and topology with a lil bit of introductory analytic number theory but the teachers are still angry at me because i dont study latin. Yeah.
    3
  24590. So true... 👍
    3
  24591. ♥
    3
  24592. Never saw somebody drawnig like this
    3
  24593. Bro is really jacked, the result of many years working hard on math problems!
    3
  24594. 😊😊😊
    3
  24595. amazing explanation! Thanks loads!
    3
  24596. SL loney plane trig
    3
  24597. Wheres the thumbnail art from and/or the artist?
    3
  24598. Great!
    3
  24599. I'm from Bangladesh. Well I think the reason is that we have to finish Calculus and also some parts of Multivariable Calculus at high school.and in physics we also learn vector calculus within the subject. So that gives us a big push in the math curriculum. Same with other subjects as well.
    3
  24600. oh man you did it! that is fantastic! old math books are the best!
    3
  24601. The one I used was twice the thickness of yours, I don't understand how it got so thick.
    3
  24602. when the fuck did jeff bozo grew hair and beard
    3
  24603. Also, never skip the exercises.
    3
  24604. 2:40 This. is. too. true. Why is this true.
    3
  24605. LUCKY YOU having the skills and experiences in mechatronics. I am green with envy. As you are studying software engineer, you might have a look at Blender, an open source software for 3D modelling, robotics, physics simulations, etc. Many scientists in NASA use it for their projects. You can find Blender at its official website, and view its development at Github and also their codes. Blender is a heavy-weight software created by thousands of developers over the years. I am only a hobbyist in 3D modelling, with great love for building mechanism inside Blender.
    3
  24606. ty for the vid
    3
  24607. I think, you are going in the right direction by making these new different videos, like looking at the old exam questions or talking about math from another point of view. I hope, your youtube channel will grow soon
    3
  24608. "You just need to work harder.", that is the best piece of knowledge to leave viewers with. I have learned to embrace failure as I learn and see what to not do, and why, and then furthermore it allows you to readjust your thinking to ultimately reinforce all your "tools" (theorems, tricks, ideas) in a new scope.
    3
  24609. I want to master definite integration and I m inspired by ur videos
    3
  24610. Had to watch this twice but got it. Thanks!
    3
  24611. Sir something else, perhaps you could do a video or so on exercises of geometric proofs?
    3
  24612. Bro they are using almost the same font and colours for this book as our NCERT textbooks
    3
  24613. Just for reference: "mir" is pronounced like "mere"
    3
  24614. If you have a St. Vincent dePaul thrift store near you, their used book sections are incredible. I regularly see interesting and useful books there on math (and other subjects that I'm into).
    3
  24615. Go to every class.
    3
  24616. This scilent video has a great message to all Mathematics lovers. Pure Beauty of the Mathematics & the Nature. A Sure way to achieve 50% happiness in the life & it would be a successful lead to the remaining 50% by removing the chaos in the emotions with rational analysis yet keeping the original form of it for the experience.
    3
  24617. I'd be willing to bet most of the answers to most of the questions do exist now on the internet.
    3
  24618. Mathematica or any CAS is also a very good option.
    3
  24619. Hello
    3
  24620. that's it I'm making a comeback
    3
  24621. I'm watching this with my calc 1 final tomorrow
    3
  24622. thank you
    3
  24623. Thanks! This is what I needed.
    3
  24624. Thanks!
    3
  24625. Could you do branch points please
    3
  24626. Took calc 2 twice, took dynamics twice, took aero 2 twice (compressible fluids), took aero structures 1 twice (tensor elements applied to complex materials and structures), and I am happy to say I am taking orbital mechanics twice. As you can see, I am not a great student. I am on year 7 of my undergrad. —I have zero regrets of my experience. I have about a year and a half left and to be honest it could be longer. I want to go to grad schoo(for airships but it will be in the material/structures or control dynamics specialties). I am definitely determined to find a university willing to take me and my money in.
    3
  24627. Another good thing is you get to choose the instructor. In a university maybe you can choose from 2 lecturers. On the internet/library you can choose the highest rated, best seller, who explains things simply, and engages you.
    3
  24628. Nice video sir, thanks alot
    3
  24629. I am a mathematics student from Brazil, still in de middle of the course. Until now, the hardest was Abstract Algebra, but Mathematical Analysis is still to come.
    3
  24630.  @TheMathSorcerer  I imagine. Keep on posting videos, please, I love your channel! It is easy to tell that you really love Mathematics!
    3
  24631. Mmmmmm T H I C C
    3
  24632. Do you think it would be helpful to have this book if you were having a hard time remembering trig identities and functions while in Calculus?
    3
  24633. Very clear, thank you.
    3
  24634. Could you please do a follow up video showing several examples where the C.R. eq's do not hold? Thanks.
    3
  24635. if you shaved your head, you would lowkey look like Jeff bezos
    3
  24636. My break is playing piano. I'm comfortable enough with it so that I can just play whatever comes to mind without having to think about it too hard. I can let my mind wander or just go blank and allow my subconscious thoughts keep churning away. Then, when I return to my math, I'm revitalized. As far as I've been able to test, I can go indefinitely this way (barring physical limitations). I've had situations in which I've worked for nearly 40 hours straight with maybe ~7-10 ~20-minute piano breaks without really becoming significantly less mentally sharp. That said, it absolutely wrecks me physically after a few weeks of this (unable to hold onto chalk after a while, tripping over things, hallucinating, etc.) so I've learned to limit my work according to my physical weakness.
    3
  24637. You've made my day!! Thank you for all the content you have been putting out, right now it is more valuable than ever. Your videos are such a blessing, thank you for the encouragement - I needed it!
    3
  24638. Thank you very much Sir . Useful video 😇.
    3
  24639. It's not an IQ lower bound preventing you from the fun of it all... Why limit yourself from the fun? It's the abstract playground and we're all free to enter, so approach it!
    3
  24640. 👍🏻Thanks
    3
  24641. First one 😊❤
    3
  24642. Very beautiful looking book, the diagrams and sections on history of algebra look cool
    3
  24643. thanks for giving us the truth as it is
    3
  24644. thanks for solving this problem it is so helpful way to study
    3
  24645. I watched the video because my professor teaches like a potato but why must your camera follow you???? Great content otherwise.
    3
  24646. I used this book to help write my own compiler in a compilers course. I'd almost swear the highlighting and written in text is exactly what you have in that book. It was the go-to compiler text for years, but others have since come along that are better. Still a classic though.
    3
  24647. Thanks a lot! You inspire me for doing maths. I was feeling low rn when I was just about to start trigonometry as I am a bit weak in it. But now I feel better. Thanks again😁
    3
  24648. As someone who also has a bachelors in mathematics, I actually had a 99% completely different set of textbooks lol. The ones I had were: - Single Variable Calculus: Early Transcendentals by Stewart - Vector Calculus by Colley - Linear Algebra and its Applications by McDonald - Linear Algebra Done Right by Axler - Discrete Mathematics and its Applications by Rosen - Elementary Differential Equations and Boundary Value Problems by Boyce - An Introduction to Partial Differential Equations by Pinchover - Principals of Mathematical Analysis by Rudin - Complex Variables and Applications by Brown - Fourier Analysis by Stien - Numerical Mathematics and Computing by Cheney - Mathematical Models by Haberman - Naive Set Theory by Halmos
    3
  24649. Loved it
    3
  24650. Thank youu 🥰🥰🥰🥰
    3
  24651. I’m almost 40 years old and finishing my second year for my degree. I’m angry and want to win and get it at all costs.
    3
  24652. Omg I didn’t know u could use statcrunch like excel... thank you so much!
    3
  24653. If you're confused, just memorize it😭😂😂😂😂😂😂😂😂
    3
  24654. Books
    3
  24655. I looked it up in eBay the book is very expensive like $125 I thought would be cheaper 😍😍👏👏👏👏👌
    3
  24656. Same here. I didn't know about exponentiating untill I watched this video. I just convert the logarithm to exponential form in my mind.
    3
  24657. Great video man. Keep up the excellent videos. They're always interesting and always motivate a mathematically curious mind :).
    3
  24658. This make so much sense I am so following up on all the classes your providing. So do wish to see more class work and materials
    3
  24659. you got me...
    3
  24660. math sorta saved my life Lowkey 😂
    3
  24661. I am so glad I found your channel!
    3
  24662. Please don't take your hands out of the wheel.
    3
  24663. thank you for persistence is best time reckoning alchemic gold of realization difficult seems impossible until you know it simply
    3
  24664. My dream: any high quality education material should be free and accessible.
    3
  24665. I did not expect we'd need another substitution, what a twist right there
    3
  24666. It's all relative honestly Physics is turning word problems to math problems Engineering doesn't teach creative thinking and Math is a diffrent skillset, yet the core of nearly all science I'm doing EE with a minor in math and comp sci, We're more jack of all trades master of none I guess you can say that's where the real challege comes from
    3
  24667. Thank you!
    3
  24668. Can math make us rich
    3
  24669. Amm I'm kinda afraid of . Me not remembering all the formulas and steps. So . The question is. Should you understand the concepts or memorize everything .. to actually take more advanced stuff
    3
  24670. this is the best argument for your self!
    3
  24671. Dude why did you make this video tho? This is probably the most rudimentary unsolvable equation I've ever seen
    3
  24672. thank you sir
    3
  24673. Great one like always
    3
  24674. 🤣😂😂🤣🤣😂😂🤣🤣🤣
    3
  24675. 😂😂😂😂😂😂😂🤣🤣🤣🤣😇🤣🤣🤣🤣🤣🤣🤣🤣
    3
  24676. Oh wow! I forgot about this book!! It was probably the first programming book I was introduced to as well. Blast from the past...
    3
  24677. This is good content
    3
  24678. Now that’s a nice looking book
    3
  24679. What do you think of Tao's analysis volumes?
    3
  24680. Academic: Hardest to easiest: Physics, Math, Engineering Job Finding: Engineering, Math, Physics
    3
  24681. Thanks a lot sir now i dont have any doubt in this type of questions
    3
  24682. Who is watching in 2024? 😊
    3
  24683. This is the only thing that gives me hope 👍🏼
    3
  24684. An AMAZING video! Very helpful! THANKS!
    3
  24685. Sometimes, less is more. Concentrate on copying important definitions and all theorems, but also make a deliberate effort to otherwise set down your pencil and devote your full attention to the lesson, which includes asking related questions. A lesson where you copy everything and understand little is a wasted lesson: you could've just read the book.
    3
  24686. Beautiful book review! Last year I studied Book of Proof which I found to be pretty good actually based on your recommendation. This year I am devoting my time and energy to studying How to Prove it by Velleman (3rd edition). I really like how Velleman shows you his motivation and thought process in the scratch work before every proof. Really like his in-depth discussions and challenging problems.
    3
  24687. It was so tough I thought so, but not now, thanks !
    3
  24688. Very nice message sir! Today is the day! We always wait for the day to come, thinking "oh I'll do that then", but in reality, we're just prolonging our task and making it harder.Now is the time to do it.
    3
  24689. Wow i am learning scince 3 month's for a test tommorow (also with your courses) Very perfect timing, wow
    3
  24690. I’m in my senior year of college as a math major and even if it never amounts to anything amazing I’ve really enjoyed the experience.
    3
  24691. Just finished this book. Favorite chapter was chapter 52 on volumes of Pyramids, frustrums and cones given by (1/3)bh. I did not like chapter 43 on Secants. Overall good book. That said it shouldn't be the only book one reads on geometry.
    3
  24692. This. I’m planning to write papers soon.
    3
  24693. Pretty nice book. It has a lot of content for its size !
    3
  24694. I personally don't agree with the first reasoning. Anyone who wants to learn and cares about learning won't take that approach. I don't know if it is only me but I genuinely enjoy learning and doing these problems , I would bang my head against the wall to figure it out regardless of if the solutions are given or not. I cannot tell you as a self learner the amount of confidence I gain when I solve a problem, check it and it is correct. Math profs are failing to understand how important that confidence gain is. There are times when I choose difficult problems to do but when no answers are provided I choose not to do them
    3
  24695. ​@Quantum Bubbles self study, I'm into Calculus now (I have a degree in CS)
    3
  24696. Thank you!
    3
  24697. Thanks
    3
  24698. Haven't had time to get into this yet, but I do have the book based on your previous review of it. I can say that trying to prove things reveals how much people just believe far too many things without any proof at all on nearly every subject. E.g., when you're learning to prove these things, consider, does anyone go through this much trouble to prove even one claim that they make? If so, it's not happening where I am. This is also to say that learning to prove this should and I think does help you learn to prove other things in other areas instead of just believing it without checking anything.
    3
  24699. Why you use a pencil not a pen?
    3
  24700. Thank you MS
    3
  24701. Do you also have book recommendations on advanced probability or statistics? Like random processes, or mechanical statistics?
    3
  24702. Depends what you mean by advanced, cinlar's book on probability treats modern stochastic process theory rather well, shao's book on statistics is quite advanced if you really want the theory. You can try kallenberg's probability book if you can read it.
    3
  24703. "You will have to learn learn Algebra at some point" Me: Okay :(
    3
  24704. Can you be self-taught or impossible? What book do you suggest for thermodynamics and thermal?
    3
  24705. It seems to be a good book. Thanks for a good review. One little detail: Leibniz is pronounced līb'-nits.
    3
  24706. 👍
    3
  24707. Thicc is justice
    3
  24708. So true! And also i love your shirt
    3
  24709. Why isn’t he teaching at Harvard or MIT??????????
    3
  24710. Such a mathematician thing to say “I wanna prove it”. I come from a family of physicists and we all hate proofs. (I’m self-taught so I can’t speak for anyone else in the field of physics.) 😄
    3
  24711. Beautiful.
    3
  24712. Update: The publisher appears to be DK for original books and Alpha for reprint copies. They average about $15-$25 depending upon condition. Some answers are on the same page as the original question, unlike this book. Just close the Kelley book after copying the information onto a page of paper. Solve it and check your work in the book. Extra step, but not difficult.
    3
  24713. I mean you learn physics with a math degree soo
    3
  24714. You are the best
    3
  24715. It saddens me that most people’s conception of math is computation heavy instead of the creative humanity it is.
    3
  24716. Nice 👍🏻
    3
  24717. I study math and physics because i enjoy it
    3
  24718. Thank you for this!
    3
  24719. Now i finally understand...thank you
    3
  24720. Why can't we use logarithms by applying logbase3 on both sides.
    3
  24721. Are you on instagram??
    3
  24722. When i was little i loved math,now i am older and I can study math but i waste a lot of time,i have good grades but i know i could do so much more if i was more dedicated.its sad. :( However,when i was little I used to calculate áreas of polygons.when i was very little i measured My books lenght
    3
  24723. Thank you bro
    3
  24724. This help me !
    3
  24725. Awesome video!!🙂🙂
    3
  24726. Awesome! Articulation is key, you nailed it!
    3
  24727. Math is an awesome world,and whenever you become obsessed by such world you can't forget any of its nice moments.......
    3
  24728. for maths ? or for which class . each class depends on the notes that u take
    3
  24729. it would be great if you changed the title to how to stop your worries
    3
  24730. ❤
    3
  24731. Thanks for the motivation , kinda gave me a nice boost to keep studying , although im struggeling quite a lot due to my bad teachers. channels like yours saves me from failing every math class , so thanks!
    3
  24732.  @TheMathSorcerer  Oooh please do! Discrete is cool but yeah there are better books out there that I wanna get my hands on, since I'm majoring math myself :p
    3
  24733. I am a math student from Saudi Arabia, thank you for your wonderful and useful channel❤️
    3
  24734. 🎗️👑
    3
  24735. I wish you were my professor!
    3
  24736. This was the most notable best thing every man 🎉🎉🎉🎉🎉🎉🎉🎉
    3
  24737. Amazing. Thanks you very much 👍😊
    3
  24738. hahahahaha that was a good one
    3
  24739. There's a lot of good advice here, I'd like to add just a few things I've noticed when I've gotten a really good grade in a class, (especially, but not limited to, math and math heavy subjects): Aim to get every answer right by double checking your work. When you do your homework, if there's a problem you can't figure out don't stop until you get the right answer, and know why you made a mistake. Your teacher may not grade your homework, just give you credit for doing it, but if you don't get the right answer, the homework has actually reinforced the wrong answer. Knowing yourself, your weaknesses, is valuable. Going fast: if you are able to finish a test quickly enough that you have the time to go back and double check your work, then you're probably fast enough. I consider it a warning sign that I'm not keeping up, if I run out of time before having double checked all my answers. Sometimes I end up finishing before a big portion of the class, but I'm never the first to finish a test in math class. Prior planning and preparation prevents p*ss-poor performance - the 7 "p"s come from a saying in the USMC, to my knowledge and there's a lot of truth to this; if you put out the effort to prepare completely, there will be no surprises on test days. This will be easier for some than others, and it often means sacrificing a lot of personal time. I second the note-taking. Also, don't buy study aides - make your own. The act of making flash cards, study guides, etc, is more instructive to me than referring to pre-made ones. I hardly ever refer back to my notes, usually having taken them is enough; I can do the homework with little difficulty. Re-doing homework never helped me - I have a tendency to remember the answer and not learn anything the second time around. But I usually do a few other problems in the book, the ones that weren't required for homework, and represent one of each of the types of problems I'm likely to see on the test, since often tests are cumulative in math. So I guess in a way I'm redo-ing the homework, but not all of it. That being said, I have a bit of a sixth sense about what's going to be on a test and I know if I'm solid or struggling, and if I feel like I'm struggling, I put more work in. A lot of this seems obvious, but let me tell you, I have had classmates that do the homework just to get credit. I've had classmates who should have known they weren't fast enough: the instructor would tell us "there will be ten question on the test and you get two hours" and the student would be doing their homework a rate of one or two problems an hour. I've seen student who triage their way through school; "if I cut down on my study time I can get a passing grade and still hang out with my friends all weekend" and basically ruin any chance they had of going to grad school, or worse, having no room for error, they make some mistake and end up failing a class altogether. Those are like the people with engineering degrees who can't really do the engineering job and end up making half the money a real engineer makes because they got stuck in a supervisor position on a factory floor where people who never even went to college make more money than them (welders, toolmakers, some other skilled trades can be more difficult to replace than even a good supervisor). And for the record, I'm currently taking Calc I, so my typical workload may very well go uip, and I may have to become more reliatnt on notes, do more extra problems on my own, etc, to continue to get the kind of grades that I want.
    3
  24740. The first book you mentioned is not a few $s second hand but over $100. Checked Amazon and ebay.
    3
  24741. Crazy Einstein was still alive
    3
  24742. I've ask authors to sign several of my engineering books and I never got a refusal.
    3
  24743. Why is this table a non Euclidean surface
    3
  24744. First
    3
  24745. A great video. I am not young. I study by myself since 30 years while working. The biggest problem by self studying is the goal setting and keeping up the motivation. It is not good to change the goal, nor the book you are using. You will not achieve your goal. It is also very important to set a feasible goal, you must have the necessary back ground, otherwise you fail. If you do not make these mistakes you can learn anything and it is wonderful. You can learn until you are about 80 years old. Learning is enjoying and it empowers you. Keep on self studying! 👍
    3
  24746. I can't believe. I'm living in Turkey and our educational system, teachers and books are totally useless. So when i was at school i can't learn anything from them because I don't trust them. They're using false methods, even they don't know "what is the method". So I'm decided to forgetting all about my knowledge about science and maths like Descartes and teach myself all of these. But I don't know where do i start. I'm searching that for over 3 months. As I said sources written on turkish language are trash. I was hopeless for last one month and THIS VIDEO SHOWN ON MY RECOMMENDATIONS. Thanks for your method. It will help a lot of people especially like me. and sorry for my bed england.
    3
  24747. My problem with math that i can't understand where i can use it practicaly, i can remember every formula, but my mind refuse "just remember" them mode, it is just forget everything if it don't apply in real word tasks. Do math just for numbers is boring.
    3
  24748. Cheap means $0 and download it for free.
    3
  24749. Great video! Could you also present some harder real analysis problems?
    3
  24750. the camera quality is INCREDIBLE. i love how clear the video is and ur explanations actually make sense!
    3
  24751.  @TheMathSorcerer  Ahhh Perfect Thank you very much :)
    3
  24752. Hated physics with all my soul. I failed physics 2 during my second semester, had to retake it during summer and thank god I got the minimum passing grade.
    3
  24753. My friend! Please, don’t allow those thoughts to pollute your mind. If you are doing physics and math that tell us you are not just anyone. You have that flame, that spirit that mediocres don’t have. Preserve it, keep it lit! Don’t let it turn off with the blows of those negative thoughts . Think that when you were conceived about 100 million of brothers and sisters were left behind you! You are a winner like anyone else who make it to this world. This is my idea and opinion. I hope it lift your spirit higher.
    3
  24754. Thank you so much! This cleared so many things in my head since english is like my third language this way of teaching step by step is the best for understanding! Thank you!
    3
  24755. My all time favourite book on complex analysis is „visual complex analysis“ by Tristan Needham, it‘ s written in a kinda entertaining style and has got a lot of fun problems, not too hard to make you give up but definitely not easy either. Greetings from a physics student :p
    3
  24756. I did not just watch an 18 minute video on a subject I will NEVER EVER study. I bypassed intermediate algebra thanks to a pre-requisite glitch that allowed me to take the intro to behavioral statistics I needed to transfer 😂😂😂😂😂
    3
  24757. WOW !! THANK YOU SO MUCH FOR THE ADVICE !! You have confirmed that I am right with the steps taken to study Mathematics. Books, plenty of problems, a lot of practice in order to UNDERSTAND mathematical concepts. And most important ... have a study guide to follow... so in my case, I need to learn optimization hence I began studying Precalculus. Now I am currently at Differentiation : Reltated Rates of Change. YES, IT IS HARD AND TAKES A LOT OF TIME AND PATIENCE - BUT SO REWARDING !! There is a video that helps a lot in taking a specific direction : The Map of Mathematics - CHECK IT OUT ;)
    3
  24758. It is important to realize that it's okay for a certain concept to not seem intuitive the first time seeing it. For some people that may happen in Middle School, for some not until Grad School. You must not get discouraged, and be persistent. I believe that if you approach difficult material pessimistically, you stand little chance.
    3
  24759. A better wording would be "allocate your energy"
    3
  24760. Am the best ✌️✌️✌️✌️✌️✌️✊✊✊✊
    3
  24761. thank you so much.
    3
  24762. Hey. Thanks for the video. What do you think of Applied Linear Algebra: The Decoupling Principle by Lorenzo Adlai Sadun?
    3
  24763. huuuuge tips here, ty Sir.
    3
  24764. The proof is neat and clear. Thank you.
    3
  24765. Thank you so much for this video!
    3
  24766. I never really thought about role models in mathematics before, if I had to pick one, it would be one of my professors, Preda Mihăilescu, he proved the Catalan conjecture and was an excellent teacher in my first semester studies.
    3
  24767. The Math Sorcerer Thanks, I will check them out hope with Anton you mean Howard Anton.
    3
  24768. Really a good piece of advice,I follow it.
    3
  24769. So helpful and to the point. Great video!
    3
  24770. 👍
    3
  24771. Can you do the same for books on formal logic?
    3
  24772. he’s staring right into my soul
    3
  24773. Brains and brawn; Respect!
    3
  24774. Thank you so much this method rlly help me answer the questions rlly fast!:virtualhug::yougotthis:
    3
  24775. Hey Kemo, what’s cal-coo-lus?
    3
  24776. ur voice and word style is very comfertable to hear ur great teacher seagull from iraq
    3
  24777. Thanks a lot sir 🙏. Your videos help a lot. Love from India 🇮🇳
    3
  24778. Love the cover!
    3
  24779. Uff this made me realize how little I know and how much I just dragged through college. I want to study mathematics by myself because I really felt solving math problems helped open up my mind and lately I've been feeling really stupid and slow, watched this and now I know where to start but I'm kinda scared lol
    3
  24780. Can you review Jon Pierre Fortney "A Visual Introduction to to Differential Forms and Calculus on Manifolds?" (or any book on intro to Manifolds?) Also, maybe a dumb question, but are Manifolds studied before or after someones very 1st Topology class? (Guess what I am curious about, lol)
    3
  24781.  @TheMathSorcerer  thank you!!
    3
  24782. Optimally minimalist.
    3
  24783. I think math can definitely be elitist. People good at math can invest their time into it. That's elitist for a lot of people who have to deal with bad mindsets around them, things to do, and quick dopamine giving them real results. Math is a slow and humble thing that people considered "elite" can do more easily (ie. actually do it.)
    3
  24784. Nice video for the cool-looking book exteriors, can you please do a video for cool-looking book interiors, probably the publishing company uses a specific layout to make it look more interesting to the student, thanks for all the cool videos.
    3
  24785. Well i think i am very lucky to know you since you love people who ask questions through out my life i had a lot of questions that most of the time no one could give me a convincing answer in fact people start to spread hatress on me just because of my questions so i stopped asking question a long time ago and because of that my understanding and level in math got worse than i ever imagined and i'm actually in the edge of been rejected out of school in general i will appreciate it if you could answer questions that i remember now with all my respect for you
    3
  24786. James Stewart, I love his books.
    3
  24787. That was fairly short
    3
  24788. Very informative advice
    3
  24789. "It's up to you how far you'll go. If you don't try, you'll never know." Merlin to young Arthur in Disney's THE SWORD IN THE STONE. 😎🖖
    3
  24790. Thanks so much sir!!! Yrock MS!!!
    3
  24791. “There was a footpath leading across fields to New Southgate, and I used to go there alone to watch the sunset and contemplate suicide, I did not, however, commit suicide, because I wished to know more of mathematics.” Bertrand Russell “Mathematics, rightly viewed, possesses not only truth, but supreme beauty—a beauty cold and austere, like that of sculpture, without appeal to any part of our weaker nature, without the gorgeous trappings of painting or music, yet sublimely pure, and capable of a stern perfection such as only the greatest art can show.” Bertrand Russell “What is best in mathematics deserves not merely to be learnt as a task, but to be assimilated as a part of daily thought, and brought again and again before the mind with ever-renewed encouragement.” Bertrand Russell
    3
  24792. MERRY CHRISTMAS SORCEREEEER ! ! !
    3
  24793. I love this ambiance. And perfect to learn mathematics. Though i am studenf of statistics but Mathematics is always ♥. Your collection of books for calculus is just awesome .
    3
  24794. i'm so grateful you exist, seriously. i'd never looked at studying mathematics or anything academic like that as something someone would just do for the love of it, or the benefits that it might have. i adore that a lot, because i've never really seen it on people around me - like someone actually wanting to learn the thing and know how it worked, in a way that had nothing to do with a grade or praise. and i've got to experience that in the past 2 months. i've went through the exact limits and derivatives that you would cheat on on a test, but by myself this time. it was so fun to spend sometimes 14 hours a day just playing around with those. you kind of forget where you are in the world and it's all just zen. i'm so lucky to have had that type of experience with it, because it merely started from me checking out what this old book i had was all about, and it could've just ended as yea it was as boring as i expected it to be. if there was one thing i've learned from picking up math again, was that it completely changed my mentality towards the things i hate now; if math was always my least favorite, and now it is my favorite, then what else am i looking at from the wrong perceptive?
    3
  24795. wow this is epic, good work MS :))
    3
  24796. Euclid for beginners, man! Review Euclid edited by Sir Thomas Heath. That’s a huge tome with amazing annotations & historical notes & alternative proofs.
    3
  24797. Wow, I’m in Differential Equations and I’m trying to figure out is university playing games or what! why offered this course in 6 weeks because people like me can learn math but apparently not very fast. I knew it would be hard but my goodness. I don’t want to quit but I would love to pass. But why does it take me so long to do variation of parameters 4th degree order 😐 my instructor is hammering us with a hatchet 🪓. Am I weird I low key kinda like the stress. 🤔 New challenge this week can a learn Cauchy-Eulers Equations in 24 hours 🧐?? Well shall see! Guys pray for me!
    3
  24798. I am still a massively lazy person but I hope to change it very very soon. I want to study and think for 20 hours a day since I have learned how amazing it is. This is my first time studying along with an YouTube video and it was very good. Almost like studying with a real person. It kept me reminded not to touch my phone and I can coherently hope it will still keep doing it.
    3
  24799. Your videos have been very helpful to me, thank you for taking the time to make this content. I appreciate it.
    3
  24800. how do you manage and store all those books?
    3
  24801. Thanks! 👍🏽
    3
  24802. The Dover books are just great. Everyone should pick them up no matter what. At an average of $5 per book, even if you open it once and learn nothing, it's still worth it.
    3
  24803. It's very New Math. Love it!
    3
  24804.  @TheMathSorcerer  small steps lead to huge success:)
    3
  24805.  @daniellabinjo6046  Thanks man! I highly appreciate it!
    3
  24806. I just try to find another teaching book for a certain course, which isn't mentioned in the course (sometimes for obvious reasons, like finding the secret exercise source for the assignments or even for the exam) but should become my favorite book. I got three quite unknown books about abstract algebra, which were more helpful than the official books used in the course (Serge Langs Algebra book was also mentioned lol). On top of that, I try to search for books in another language (english in general, french for algebraic number theory). The topics are the same, but they're structured in different ways among the selected book, helping me to understand a topic from different perspectives. Lecture notes from another professors (from another universities) also helped me. This is one of many reasons, why I love this channel.
    3
  24807. I don't knot why i keep getting recommended your video's but i ain't complaining :)
    3
  24808. Hi I need a little help. Do i need to know everything about a concept before moving on to another concept or do I need to answer all the problems correctly in books, online, etc. I know this is really weird but I am slowly becoming a perfectionist. I need your help guys.
    3
  24809. That entirely depends upon your goals. For example, how well do you want to understand linear algebra? Are you just trying to pass a class or are you trying to learn it so well that you will feel like you could have discovered it yourself?
    3
  24810. Thanks so much for this. I now have an answer
    3
  24811. The joys of taking a limit. For future notes, if the students do not understand the f(x) and f(x+h) talk. Use actual numbers and a ruler. Some students may not pick up the idea of what you just talked about is distance from here to there for both the x axis (run) and y axis (rise). This is the high school teacher experience talking. 😁👍
    3
  24812. i sometimes study so hard that forget im hungry, i guess thats motovation
    3
  24813. Coool. Just bought his new book. I’m surprised he didn’t have more to say about career advice, but I’m glad he was honest (rather than just making something up).
    3
  24814. I'm surprised (and happy) that you havent menction no quote from Einstein yet
    3
  24815.  @TheMathSorcerer  so i could do a phd in other field of study!? i didnt know... i will search for applied math places in argentina too thanks for the answer as always! you are the best :)
    3
  24816. I agree Balance. Thats the Key. Or we will get bored with things in life. 😊😊. Good advice buddy. I struggle with learning right now with 🎸. Im 61. But slowly integrating it into my day. Hard at times with doing Gym etc. The Energy. Is the main thing. I always try my best though to learn 👍💯
    3
  24817. Dear sorcerer, what is the difference between discrete mathematics and abstract algebra? Thanks in advance
    3
  24818. math people are not very much lonely, they barely are, with all kind of lurkers meddling on your content
    3
  24819. You should do a q&a cause I need to know how you come up with those thumbnails
    3
  24820. Please blink man you are staring hard into my soul
    3
  24821. I think this is true for a great ANYTHING. If you're constantly fixated on the one true goal of yours, success and purpose cant hide for long.
    3
  24822. I was watching the diferentisl ecuations videos, so i came to chill a lil
    3
  24823. ok
    3
  24824. Thank you for making this video
    3
  24825. For me it was jiu-jitsu is that outlet. I started approaching new moves, felt like creating a proof. I haven't been able to practice sinch march, so I miss it. I really wish I knew how to surf, I live <2 miles from the beach. I get scared about sharks though haha. What do you think about Googly eyes to prevent shark attacks? When I move to University, I'm going to get wet and sandy like a Navy Seal. I miss being in boyscouts, and I remember the seal swim was one of those inner peace types of feelings. Grueling but somehow still tranquil. I've been waking up at 4:30 to practice my discipline, do a grueling workout even in unmotivated, By which after I'm done I'm already elated from the 'exercise high', I eat a massive steak, take a cold shower, and hit the books. When I can't concentrate I just start cranking out pushups, or squats. This helps my ADD a ton.
    3
  24826. Hey, great channel. I just wanted to know what's the second book "The calculus book that cites its exercises" one. Thanks!
    3
  24827. Blink.
    3
  24828. Gud tq
    3
  24829. That squeeze theorem is so awesome!
    3
  24830. Thanks for explaining it so well! Seeing it in words definitely took it from making no sense to being pretty easy, haha. Only seeing the mathematical definition made it tough to visualize.
    3
  24831. First
    3
  24832. I have Trigonometry by Lial, Hornsby, Schneider, and Daniels 11th ed. I've been using it to help me through my Stewart, Redlin, and Watson Precalculus book.
    3
  24833. I don’t need discipline to study mathematics. I have a passion for the subject because it enables me to understand profound things about the universe! I’m currently studying physics at degree level. I can see you have a passion for the subject as well; it shows when you are teaching.
    3
  24834. I wholeheartedly agree! It's so true about starting things off on the right footing. A bad grade on the first exam(s) may become demotivational; at the very least, it will be an uphill climb from then on. But good grades on those first quizzes and exams really boost morale and belief in one's self. Math is cumulative, so it is important to stay on top readings, studying and problem sets. Do not fall behind! One thing I did that helped me have a good start was to get syllabi from previous semesters to see what textbooks were used, what sections/topics were covered, and what problems were assigned. I would only get to like a chapter or two of every book before the semester started, but hey that's better than nothing.
    3
  24835. THIS IS AMAZING THANK YOU SO MUCH. this was in one of my hw problems but my professor didn’t go over this. This helped like crazy!!!!
    3
  24836. Awesome
    3
  24837. Thank you! Could you do a similar (set of) video(s) for good books on (graduate level) analysis?
    3
  24838. I learned basic math skills, am I ready for differential geometry?
    3
  24839. Jeff Bezos with hair
    3
  24840. Life is about finding The Math Sorcerer. Firstly XD
    3
  24841. Hi Math Sorcerer. Long time viewer, first time commentor and CC educator. I've noticed you have done some programs in C in your previous videos, but I was curious if you also do matlab tutorials as many scientists and engineers use the mathworks based software.
    3
  24842. Great video!
    3
  24843. Thanku sir lots of love from me to you 💖😃😃😃😃😃😃💖💖💖💖
    3
  24844. Thanks for showing us this. Fitzpatrick's book on Advanced Calculus, is a solution manual available for that? Would be really, really helpful. Thanks
    3
  24845. WHOA, I'll need to collect myself and take a deep breath before I'm able to reply to this properly. Wow. Double effin' wow. I'm honored. Double effin' honored.
    3
  24846. 🎉❤ Great video wizard❤🎉
    3
  24847. Great supplement to my calc 3 course. Love your lectures even though I feel like I need to wash my hands every time you erase the board... 😂
    3
  24848. You are a fantastic teacher, but I found the digital blackboard much easier to follow. Down to things like the audio was better, less echo, no noise of the marker hitting the board, the hat gets in the way, arms get in the way. Maybe you would consider doing some things on the blackboard and some in person? For some learners, especially those with different sensory sensitivities, the blackboard may be better.
    3
  24849. I’m a mathematics major.
    3
  24850. 👍🏻🙏
    3
  24851. At 75 a back to the future review of basic math to pre-cal, and other adv. math has proved inspirational in self study with Math videos,books, Math Wizard-Larry S.
    3
  24852. Buetifully explained❤
    3
  24853. You’re advice “grab any book that you are interested in that moment” really helps me. Thanks professor Chemistry major student from South Korea:)
    3
  24854. what if you have a given problem that is 2/5x-7?
    3
  24855. This makes me happy thx u 🙏🏿
    3
  24856. as a student I wouldn't feel too bad if I make silly mistakes as I know that tutors, lecturers, profs also constantly still make mistakes. particularly when writing down solutions to tutorial problems or tests when they are (or at least claim to have been) in a rush when they wrote the solutions.
    3
  24857. thanks bro
    3
  24858. I'm more experienced in computer science, but I chose mechanical engineering because of its broad range of subjects taught and wider job availability. I like coding my own ideas, but coding for class or work can be very stressful and I might not want to code whatever the project is.
    3
  24859. I think Abdulla was talking about the only day that he studied 15 hours lol. I saw many guys that starts very hard, but after 10 days lose their pasion
    3
  24860. Thanks a lot..!
    3
  24861. The thumbnail is a different problem.
    3
  24862. HeyMath socerer you are so good, I want a suggestion from you that how can I learn a lot of Mathematics, I mean a lot of in year14, please recommend some good books. Please I need your suggestion.
    3
  24863. Great video🎉
    3
  24864. Exactly.
    3
  24865. Thanks man.
    3
  24866. you sold me
    3
  24867. Density functions :D
    3
  24868. A very good book that has Calculus 1, 2 , and 3 is "Integral Calculus" by Shanti Narayan , it is about the same size as this book.
    3
  24869. Have you considered doing a review of the English translation of B.L. van der Warden's Moderne Algebra (just titled Algebra ) from 1930? Another famous "game-changer" undergraduate text from the mid-20th century. Springer did a relatively recent reissue while there are older second-hand copies out there as well.
    3
  24870. If only teachers were this informative and thorough in their explanations... Thank you so much
    3
  24871. This was actually so much help, thank you !!!!!!!!!!!!!!
    3
  24872. has anyone ever told you, you look like Jeff Bezos with good hair?
    3
  24873. Great videooo!!!
    3
  24874. thx
    3
  24875. this man has the appearance of one that has seen the 4th dimension.
    3
  24876. Hi The Math Sorcerer.. I would like to know if advanced calculus is the same as real analysis in the undergrad level.. and do someone need to know calc-3 before taking this course?
    3
  24877.  @TheMathSorcerer  Thank you so much for the good news 😊 and thank you for making this playlist
    3
  24878. How do we know the lengths of the sides? If we're starting out with that pre-knowledge, then we're not really computing cos(pi/3). We're more reverse-engineering the triangle that gives us the desired result.
    3
  24879. That's why I prefer books over the internet: With the internet, sure, anything you want to know - look it up and you got it!... Yet I often find online that I don't know what I should be looking for, I don't even know what I want to know lol With books and libraries, I so easily happen upon so much interesting information, and alot of times, it's things I didn't even KNOW I wanted to know, sparking new interests constantly! ... the web is rather stagnant in that area. For me anyways, perhaps I'm simply not using it right lol
    3
  24880. I like doing wordproblems.
    3
  24881.  @TheMathSorcerer  Nice I got the anton book and the in the video both for less than 15 dollars each INCREDIBLE VALUE!!. also I saw lang has two different linear algebra books and im not sure which one you are referring to
    3
  24882. Never dear never, it's my life, and without it's empity
    3
  24883. YES! Math kicks my butt and I love it. But I also love the fact that I am never a master of anything. It's one of the few subjects that I know I will never master 100%. Usually, once I learn how to do something, I'm bored with it. However, math is constantly challenging me with new and different ways of doing things.
    3
  24884. Alone I don't think it's a Functional Analysis book.. . .. no Hilbert Space, no Measure, many fundamentals theorems skipped.... Too much easy Its a good introduction to operators spectrum
    3
  24885. We have a function of x and y equal to z, we can make this a function that is of x y and z by subtracting, this new function describes a level surface, that's jargon to me right now, so we elaborate. The first bit of that is surface, well not in english but never mind, a surface is like a plane that is all blobbed up and mushed together in some way. We can level a surface by setting it equal to zero, this is a weird concept frankly, but that 3D surface is a cross section of a 4D figure. The important thing is that we have F(x,y,z)=0 describing this surface. Then we have this gradient thing, what's that? I dunno, but we're gonna BS it and pull it out of thin air without the help of the internet. So V is gonna be my stand in for the gradient symbol... VF(x,y,z)= the partials of each component. What does this mean? Do I really understand partial derivatives is the question here? Well a gradient shows how x, y, and z change with time. It is a vector quantity, and this makes sense because if you pick a point on a surface and vary time, it should change in some direction that could be changing. Say you had this vector that describes how a surface is changing. Where is it going to be at a given point? Well I can only visualize usefully in 2 dimensions, say you want to draw a circle with a vector that describes how it changes in time. This vector has a perpendicular component changing it to go towards the center, and a tangential component that drags it sorta like orbit. I think these are different orders of derivatives though, right? Yeah, velocity is changing with acceleration, so what we're actually looking at for this model is how a tangential vector changes. The gradient then would be orthogonal to the tangent vector running along the surface, but well that's a stupid way to view that, we're going to just say that it is orthogonal to the surface itself, this also isn't a nice surface necessarily, so we resort to partials to make this orthogonality a Boolean equal to true. What do we do with all of this? Well we've got a gradient(Orthogonal vector) and we've got a Surface F(x,y,z), if we can lay this gradient at any point on this surface, we will have the Normal and a point to describe a plane that is kissing the surface, that's a tangent plane. Hey, and that gradient is orthogonal to this surface. Let's say a line is the Normal line to this surface if it has the same direction as this plane and passes through the point where the tangent plane and the surface F(x, y, z) kiss! Okay, now I think I have justified it all in my brain. Continue.
    3
  24886. I received my MSc in Computer Science in 1977 from Brussels Free University. At the time, I had acquired a solid grasp of Fortran, Cobol, PL/1, Algol 60, Pascal, Basic and several Assemblers as well as an understanding of a few more like Modula, Algol 68, Snobol, Lisp, APL and some more. All of that was on mainframes only. The most heated debate at the time was about how to get rid of the "goto" statement and promoting the so called "structured programming" style. Object-orientation was still in its infancy. In the next few years, I could get my hands on my first personal computer and finally got access to a C compiler in 1983. I too learned the language by reading the K&R book in a few days as it was usual when I needed to learn a new language since there wasn't much material available at the time. To be honest, I found it pretty accessible and really didn't struggle to learn C but found it immensely useful to replace most of the assembly language coding I was doing at the time. One other book from Brian Kernighan that I found enlightening was is "Elements of Programming Style" which I highly recommend to anyone who wants to improve on their coding practices. I'm probably still (unconsciously) applying most of its principles even today. More recently I have looked at Go which I found appealing but not convincing and at Rust. I fell in love with Rust and started switching to using it for my work. To be honest, the language has a very steep learning curve and you basically have to re-learn the way you reason about coding but after all these years this is probably the first language that brings original ideas into the mainstream.
    3
  24887. Hey i have a question Why do you blink only once in a minute
    3
  24888. He looks like has numbers all over his body, because he ran out of room in his cave.
    3
  24889. Relax, I'm already having a hard time with basic maths. Still considering wheter this is for me...
    3
  24890. I’m not here for mathematics but rather language learning, but what your saying applies to almost anything, like working out.
    3
  24891. hi i wanted to know does this cover every topics in calculus and in advance calculus?
    3
  24892. Hello! Just wanted to let you know that the thumbnail states AB=AC implies A=C, instead of B=C. Take care!
    3
  24893. Thank you soooo much. That was very brief and well explained :)
    3
  24894. I'm learning maths and I'm thoroughly enjoying this channel.
    3
  24895. What websites do you use to buy books?
    3
  24896. Thank you
    3
  24897. Professor, you are good at this. But your handwriting of the letter S is so "not pretty" haha.
    3
  24898. Most mind blowing one was study on ur kitchen's tabble
    3
  24899. Reminds me a bit of advice you gave in another video about studying in general. And that is that studying is very psychological. Find what works for your psychology and work hard.
    3
  24900. It was very informative and thank you for the valuable information. I am a great fan of "The Math Sorcerer".
    3
  24901. Really interesting video and change of pace from mathematics!
    3
  24902. If you thought an electrical engineering book would be anything but 95% math you either don't know EE or are insane. Also i is for currents, so square root of negative one is moved to j
    3
  24903. Love videos like this, Please do more like this… You inspire me alot…
    3
  24904. Hey big fan of all your videos! I was wondering if you could give your take or make a video on memorization techniques of formulas in mathematics. Memorization in math seems much different than say history or biology. I’m interested in your take on this. Once again, big fan! Cheers
    3
  24905. You recommend to start from logic and somewhere in the video you say "you probably seen some algebra". I guess you should mention approximate age of reader. What means "FINISH"? Will I be able to prove Riemann Hypothesis? :) Also, I think main pitfall of studying yourself is that no one can fix your mistakes which you can make in the beginning and everything will turn into mess. Also, some of your solutions of previous tasks may be too over-complicated to be able to solve next tasks.
    3
  24906. Thanks! I picked this up years ago at a used book store and agree it’s very good.
    3
  24907. damn, except for "failing a lot", I miss all 5 traits ...
    3
  24908. Where can I get the sorcerer figurines?
    3
  24909. Yikes ,just looked a qualifying exam from Harvard. I would never make it into MS or MA if these exams are a fraction this ha d
    3
  24910. it helped me so much..thank you
    3
  24911. Sorcerer 😁👌
    3
  24912. Greetings Mr.Professor, Thanks for the Academician Overview with Well Known Inspiring Quote. Take Care.. With regards, RanjithJoseph (R.J)
    3
  24913. Man, you are so inspiring. Specially for your consistency with bringing us this videos. They have tremendous value. Thank you for all!
    3
  24914. hey man I really like this book recommendation type video it's great to see your channel doing so well best of luck 👍👍
    3
  24915. FIRST AGAIN!!
    3
  24916. thank you so much
    3
  24917. I love how excited the professor is. Thanks for this. I am starting a DefEq class next week and wanted some insight. I will definitely be coming back during the semester.
    3
  24918. God Bless...
    3
  24919. Quick correction: for most things we use infix notation, not postfix.
    3
  24920. I love your videos!
    3
  24921. You should make a timestamp with the levels of diffuculty. And maybe a different timestamp with the methods used (different so people can avoid spoilers but still look for a hard integral, and others may look at integrals done with a specific method)
    3
  24922. Sorry, I got confused between J and I. The proof is perfect. Thanks. :)
    3
  24923. surfing...yes sir. I wanted to try Cabo, work my way up to Mavericks but never went out there. I wasn't a very good surfer, but was stoked every chance I got. in awe or something I remember this one summer day in '95, on the East Coast. A place called Spanish House near Sebastian Inlet. rain was coming down hard, a downpour, with lightning popping the water several miles out. Me and some other guy crouched under our boards, but these beautiful 7' sets kept rolling in, so I said F*** it dude, screw the lightning, if we live through it, we'll remember it forever! he said yeah, your crazy, I paddled out alone. caught great waves on a hand-made 10' Bruce Jones for hours. rain became a light mist. was awesome. totally qualified as a perfect day
    3
  24924. 😛😜
    3
  24925. I gotta tell ya, I was kinda down on Math before I tripped over your channel (and a few others). I graduated with my BS in Applied Math in 2005, and I really had a hard time finding an outlet for it. Most companies I applied with were all about my coding skills. You do what you gotta do to survive, right? Subsequently, I wasn't doing much with Math up until I started watching your videos. Your dedication and energy got me back into the game. Now I'm pushing on, trying out some Graduate level stuff that I always meant to do years ago, but just never got around to it. Thank you.
    3
  24926. Two yrs no one commented means no one gives a Crap about math
    3
  24927. These videos are fantastic. I am beginning my first course on topology and I like watching these inspirational videos in the morning before lecture. Makes my day every time :) This one is my favorite so far; I've always been worried that someday I'll hit a level that I can't handle anymore, and topology seems like a big step up to me now, but I think I can do it. Thanks!
    3
  24928. Thanks
    3
  24929.  @TheMathSorcerer  When I was in high school in the '70s, I used to run off handouts and tests sometimes for teachers. It was actually pretty cool. The school has a hand crank machine and an electric one. You put this purple ink in the drum and attached a ditto master that the teacher had written his/her materials on, then crank away, usually on pink or white paper. The ditto printed kind of fuzzy purple writing. Ok for a lot of stuff, but not that great for math. When they would pass out copies everyone would smell the paper. Ask anyone from that era.
    3
  24930. Give us the toughest derivative problem, one who writes its derivative first will get pinned by you...?
    3
  24931. if you want a hard integral, you might like integral from 0 to pi/2 of x/tanx dx 🙂solution is on redpenblackpen's channel
    3
  24932.  @loganarichey4003  No bro, derivative he uploads more...I know blackpenredpen channel for more than 1 year...
    3
  24933. I'm thinking about buying this book. I've taken courses in propositional logic & predicate logic as well as metalogic (Goedel, Church, Turing) can anyone tell me if I would benefit from it even though I haven't had calculus
    3
  24934. 3rdddd
    3
  24935. I love maths and I'm mathematics ug student ... I fear about Abstract algebra but I love Maths... After ur video I will definitely fall in fearles love with abstract algebra.. thank you sir💜✨.. Keep doing these kind of playlist Sir 💜🥺
    3
  24936. It's the basic algebra that people struggle with, not the big calculus concepts. They then fail because their basic algebra is not good then blame it that, "Calculus is hard"
    3
  24937. collecting math books is a form of OCD 😅
    3
  24938. Thank you so much, you save me
    3
  24939. Finish doesnt exist
    3
  24940. lots of complex analysis books
    3
  24941. Totally me atm. Got two tests to grind for next week and after that I need to study roughly a month's worth of material lmao. I blame online classes
    3
  24942. My technique: I keep SCRAPBOOKS and STUDY DIARY. They help me to stay ahead. I also use Pinterest for keeping boards of studies like others' sketch notes, formulae, etc. Pinterest has LOADS of colourful pins of math problems & solutions, all to make your studies more engaging and addictive. Highly engaging illustrations like sketch notes. Look up equation theorems like Schrödinger equation there and see what you will find there. Plethora of colourful pins there. My STUDY DIARY is merely a cheap school copybook. Every time I watch tutorials in Youtube, I jot down the video titles and channel names into my study diary. I do that for online ebooks too and I jot down their titles. If I want to watch a particular tutorial again in future, I doodle a star on the side of video title, preferably in eye-catching margins. Two stars to mean "super easy" or "worth watch again." Same with online ebooks. If videos & books are too hard or too long & boring, I use initials respectively TL or TL (or TLB) in the left margins or near titles. Should I forget tutorials, I always consult my diary study (or scrapbooks) and quickly find the star-rated video titles & channel names and book titles. I also jot names of loaned ebooks that I digitally borrow from a website called Open Library. I use Google Slides as scrapbooks, notebooks, and directory books — much easier to use than Google Docs as I can quickly arrange pages in any order, and treat thumbnails in left column like bookmarks. Besides, Google Slides is convertible to PDF. Their page sizes are easily customised (like A4 or A5), only in PC, not tablet. For myself only, my colourful scrapbooks look much simpler, funkier and more engaging than verbose textbooks. Some pages look jazzy with background colours & funky fonts, page designs thus easier to spot in tiny thumbnails. Whatever studies that I am stuck on, I simply go to online sources for help: e.g. Youtube, Quora, Stackoverflow, Pinterest, Google Images, Facebook groups, etc. There, I take photos of others' maths. In my digital scrapbooks via Google Slides, I keep SCREENSHOTS of vital maths on chalkboards, web pages, etc. Screenshots serve as MEMORY TRIGGERS. I use scrapbooks to simplify all my studies, also to hold summary notes, lists of maths terms with links embedded. Inside scrapbooks, I attach LINKS and brief notes to all sources, add colourful images for illustrations (many at Google Images and Pinterest). Links are terribly important, should you forget tutorials in future. For RICH BRAIN-PICKING, I visit Facebook groups, Quora, Stackoverflow, Pinterest, Twitter, etc. Brain picking is like digging for gold in soil or river. Check out the hubs inside Stackoverflow (let me add links here minutes later). LOTS OF GEMS there, too good to miss: all the lovely math/physics problems with exemplary solutions, written by graduates and professors. I take screenshots of web pages and store them inside Scrapbooks. On my mobile tablet, I press together home button and power button to take screenshots of Youtube and websites. When you want to screenshot frozen parts of videos and that you want to remove unsightly arrow icons on videos, just tap area outside icons inside videos and icons will disappear. Not only to create scrapbooks, I use Google Slides to create maths & physics directory books. Inside, I embed links inside jargons, names of favourite nerds, website names, titles of worthwhile articles, etc. I also keep a long list of nerds' names in Google Docs. Links embedded. I have Math Sorcerer's name included in my math scrapbooks, only if I ever forget his name in far future.
    3
  24943. If they were true friends they would have understood. I’m just saying that somebody that cares for you will understand your goals and aspirations. It’s separating the wheat from the chaff.
    3
  24944. It was very helpful, thanks very much
    3
  24945. Wolfram Alpha is great. I have the desktop hobby version(same as pro except it can't be used for work purposes) so that reduces the need to be online but that does require license but the license doesn't expire so it'll work for years afterwards except for service and support.
    3
  24946. Thank you
    3
  24947. Que onda 🙋🏽‍♂️. Saludos cordiales desde 🇲🇽.
    3
  24948. Idk why I watched this vid. I already graduated
    3
  24949. I've been thinking for a while now about how would someone who really wanted to understand math at level where they could actually apply it to real world problems, not just solve book problems best do this? As crazy as it sounds my conclusion was for someone to first learn a simple but powerful programming language like Python and use Python as their writing language to solve all the problems in the classes they take. Meaning write a Python program to solve every problem they work on. I think this would solve two problems. First in order to solve any problem you must be able to think logically and work your way through to the solution and programming teaches this. Second and most importantly; you can't write a program to solve anything that you don't know how to do yourself. So the translation process of learning how to solve a problem with program code that can be run correctly repeatedly I think is a great way to really understand what's going on in the problem solving process. If you can't do it you certainly can't write a program to do it. What do you think?
    3
  24950. Out of curiosity it sounds like your GPA may not have been amazing coming out of undergrad, can you talk about how (or if) that impacted your grad school applications?
    3
  24951. I almost didn't watch this video . Then I saw it was only under 3 minutes, I'm ok with that
    3
  24952. don't response Check university of people, something like that will be my next startup. Don't know if I will spend the next 5 years trying to win the fields medal. Free or for litte money education. I bought the book of why... Maybe this will motivate me. Have to stop smoking, so I can buy books...
    3
  24953. Sir what's your name?
    3
  24954. Maybe someone else mentioned it in the comments but it was Joe Rogan who said you need to be your own hero in the movie. Thank you, you're super, your clips are always heartfelt and worthwhile listening to!!
    3
  24955. He on that good TRT, amazing god bless
    3
  24956. Thanks! Inspiring stuff always coming from your chanel. Wondering if I can privately ask for your advice regarding "taking the right choice" about doing PhD in Math?
    3
  24957. Wow are you a teacher of mathematics that's awesome 😍😍😍
    3
  24958. thank you for sharing! seems like a good reading
    3
  24959. Thanks a lot
    3
  24960. 🤔 Q and the GQP love you. 🤥🤫🤭
    3
  24961. Ahh 👏👏😊
    3
  24962. I found how to do proofs by Daniel sollow useful...Prof sollow even has some YouTube lectures of how to write proofs uploaded on YouTube which can be beneficial along with his book...
    3
  24963. 💖
    3
  24964.  @TheMathSorcerer  Merry Christmas sir ji🙏🙏🙏🙏🙏
    3
  24965. Hello sir,I face problems in checking continuity of any function sir please make a detalied video of continuity and differentiabilty
    3
  24966. I'm reading the book, sequences are a bit messy and completeness e compactness are not so good written
    3
  24967. Excellent video.
    3
  24968. I'm so thankful for your videos.
    3
  24969. We once had a review, worked on it and then we got a completely different exam. A lot of people failed. But that professor was known to seep his energy out of frustrated or failing students so it was an exception. The failure rate at his exams was always 50-60%..
    3
  24970. Leaving the proof up to the students/viewers is something Mathologer does all the time
    3
  24971. thank you this was very helpful!
    3
  24972. Added to my Amazon to buy book list 👍🏼
    3
  24973.  @braynaguilar8567  I’m speaking from the context of perhaps assigning exercises from the textbook. If the textbook already has all the solutions in the back of the book, then we’d kick it to the curb. Publishers take note.
    3
  24974. The author is working on solutions and has uploaded quite a few on the book's website, at no cost to you..
    3
  24975. Thought this was two weeks for gains, then I read the youtube name. What like what a plot twist
    3
  24976. Nice video sir!:)
    3
  24977. Im going off some other guy. I think engineering—work wise—is harder because I know the math is brutal because u actually have to take into account the wind and air resistance and stuff which physics majors luckily can ignore. But while they have to deal with harder integrals and stuff, physics conceptually is incomparable to engineering. I also have to point out most engineers don’t get a PhD while it’s almost impossible to do anything in physics without a PhD so your definitely going to get the short end of the stick if u have to take grad level physics over a simple undergrad engineering degree.
    3
  24978. Thank you so much man
    3
  24979. I would love it if you made a video about nicolas bourbaki,also,for paul erdos there is a good documentrary based in a book called n is a number
    3
  24980. First by 40 seconds
    3
  24981. I remember this days covering by corona panic😅
    3
  24982. When the game started, I thought you were going to turn to page 1 of your book and buy Doran's Lemma or something like that
    3
  24983. Thank you very much 💖
    3
  24984. God Is Great, May God Bless you all and your families. Jesus Christ Is Lord and Is The Only Way To Heaven🙏🏽🙏🏽🙏🏽🙏🏽🙏🏽🙏🏽🙏🏽🙏🏽🙏🏽🙏🏽❤️❤️
    3
  24985. Thanks for this, love your content. I have always been intrigued by the book "High Probability Trading" in your background. Could you maybe talk about that one day? 🙏
    3
  24986. Me gusta encontrar a gente que hable español por acá, espero que te vaya bien en la carrera.
    3
  24987. 4 :) gracias al canal logré aprobar ecuaciones diferenciales sin problemas thank you for the content
    3
  24988. Algorithm sent me to an algorithm.
    3
  24989. Math Sorcerer please wish me luck on my next finals !!
    3
  24990. I hope there was "some truth" in this video cause I paid close attention and I understand every thing mush better. Thanks.
    3
  24991. Nice vid as always
    3
  24992. You are not wrong about algebra. That was one of my difficulties in real analysis, unfortunately
    3
  24993. I finished my math colege this weekend. Your videos helped me a lot, especially, last semester in Differential Equations. Thank you very much for your advices! helped me a lot! I am very happy to have completed this journey!
    3
  24994. I don’t know, I'm interested in both math and physics, this is an unfair opportunity cost.
    3
  24995.  @TheMathSorcerer  Please do a video on how to study an entire branch of mathematics using only books narrowed from the library.
    3
  24996. How apropos!
    3
  24997. Woah.... finally got it👍🏻
    3
  24998. Thanks man 👍🏻
    3
  24999. I read the "TO MY WIFE" thing in a Borat voice in my head... hahaha
    3
  25000. thank you! you are awesome
    3
  25001. Actually it was Descartes who said this.
    3
  25002. Honestly I love the support I get from this channel. I’m taking analysis topology and a grad micro class this fall and these inspiration vids help me push through
    3
  25003. You are really a great lover of math❤
    3
  25004. What about learning math by watching video lessons? Some people do not learn best reading textbooks. It takes a special person to sit down in a "quiet place" when life gets in the way to read a textbook chapter by chapter, section by section, lesson by lesson. You say? P. S. No such thing as a QUIET PLACE in NYC.
    3
  25005. Noise canceling headphones are your friend
    3
  25006. What's next a book just on manifolds?
    3
  25007. Thank you, thank you, thank you
    3
  25008. I don't even care about math But I love your talks
    3
  25009. My Calculus teacher taught us this method but pointed out that this doesn't work in a few rare cases. He showed us the problem: limit x-> infinity sqrt(9x^2+x)-3x. If you attempt to ignore the +x term in the radical you will get limit x-> infinity sqrt(9x^2)-3x which should equal 0, but this is wrong and the actual answer is 1/6. If you instead multiply by the conjugate on the top and bottom and then proceed to ignore the +x term this time you will get the right answer of 1/6.
    3
  25010. Thank you!
    3
  25011. Proof w/o Induction Let q=2^n. Then 2^(2n)-1=(2^n-1)(2^n+1)=(q-1)(q+1) Now consider the numbers q-1, q, and q+1. These are 3 consecutive integers, so one of them must be a multiple of 3. But we know that number cant be q, since q=2^n. Therefore 3 divides either q-1 or q+1 which means 3 definitely divides (q-1)*(q+1) and were done
    3
  25012. First view🙃🙃🙃🙃🙃
    3
  25013. For a proposal at work years ago, I taught myself integrals (Area under the curve) for some pressurized gas consumption estimates. I had a bit of college algebra, and my high school trig/geometry, and no exposure to calculus. But, I did learn the basics in proofs and logic. So it was just a matter of working thru the formulas to understand what was happening. necessity is the mother of invention. Ask Newton.
    3
  25014. This guy does not blink
    3
  25015. As long you don't give up you will succeed. It's a marathon not a race
    3
  25016. Do you plan ebook on Amazon?
    3
  25017. I was hoping for a formula for making friends :c
    3
  25018. I was needing it! Thanks.
    3
  25019. Do you often review texts of this kind? Any particular subject or just by how much "classic" the book is regarded?
    3
  25020. Last year in college I got 4 Bs, 2 Cs, and 6 As. How bad is this?
    3
  25021. Maybe show the exam to the Chair of the Math Department and get his/her opinion on it (?) . I understand the frustration, but you may have to move on...you may have this professor again in a future class (?). Good luck to you.
    3
  25022. U missed kenneth rossen discrete maths baapp of discrete maths
    3
  25023. Wrong
    3
  25024. I cannot express how much hearing the words "Dummit & Foote" bodily catapulted me back to grad school 😵‍💫
    3
  25025. Thank you Isaac Newton.
    3
  25026. Interestingly this came up as I’m watching Algebra 1 GreeneMath videos. My goals are just to learn math for the joy of it. No more book reviews, I’m running out of space!
    3
  25027. Lol dope
    3
  25028. Thank u
    3
  25029. all these books can be found on libgen for free :)
    3
  25030. Checking
    3
  25031. Dear Math Sorcerer,I wonder if there is a flow diagram or something similar which shows all traditional courses or segments of Mathematics from learning numbers and how to count, all the way thru the most advanced topics. This could be used to help someone understand the best order to learn things and what the pre-requisites are and which are not. It would also be interesting to know how many (branches?) of Math there are in total. Maybe you could do a video on this.
    3
  25032. Congrats on passing 100k subs. 💥🌟👏👏👍
    3
  25033. TRIVIAL
    3
  25034. thank you
    3
  25035. I have an electrical engineering background but have always had a fascination for mathematics. I had obviously taken calculus, linear algebra, differential equations, optimization theory courses, etc., but from an applied maths point of view. Do you think I will be able to grasp the full essence of these books ?
    3
  25036. Have you read the Invitation to Discrete Mathematics by Matousek and Nesetril?
    3
  25037. THANK YOU SO MUCH IVE BEEN DOING THESE BY HAND
    3
  25038. That was my text book in cuba 😂
    3
  25039. Elon Musk is the best human being in the history of humans
    3
  25040. You are so inspirational!!
    3
  25041. Aww I just learnt it in my actuarial science class:)
    3
  25042. Have been watching your DE playlist, I like how you teach your class. Your enthusiasm, solving, side notes why's, refreshers, explanations, tangents talk, etc. make it so interesting. When things click, the light bulb turns and I get it. Happens when I watch your videos. Wish I would have took DE in college but in your class 😂 Math can be puzzling but getting the solution is always fulfilling. Thanks for your teaching!
    3
  25043. Where can i get one?
    3
  25044. where do you live ? i want to steal few books from you. :)
    3
  25045. Do you find the book readable?
    3
  25046. Got this book a few months ago, although the newer edition. This older one looks really cool
    3
  25047. I love your videos
    3
  25048. Gracias!! Comento en español, porque soy mexicana y me ha ayudado mucho este video ya que en español a ninguno le entendí
    3
  25049. In addition to your points, I think some don't perform well under the typical school setting and the pressure from professors to work from midocre books they authored, the disregard to visualization, proof and application ( of course this is anecdotal from my own experience) for instance I'm not a morning person, in undergrad all the B's I got were the 7:00 a.m. exams. Schools should be more easy going with a chillout vibe & less militarized money milking machines. Professors need to be vetted & psycho evaluated. I had to carry around a tape recorder back in 2005 in my pockets a whole semester because my projective geometry professor was a loon and a sadist. All this shit is not a good environment to learn, ponder and get curious.
    3
  25050. DO A GIVEAWAY!! OR I WILL UNSUBSCRIBE YOU !!😂😂
    3
  25051. Why is this integral equal to 1?
    3
  25052. does it matter if you put it like 4/5 + -1/3?
    3
  25053. In summary: TAKE INITIATIVE - I really think that "brain" and "genius" was put into the subject line to tweak your ego (mine too? lol) and make you watch. This advice has been around for many decades. It is what highly effective people do.
    3
  25054. Thanks sir This is better you made short video Make videos in this time range only Small videos Good work
    3
  25055. Amm im 500 years old .. soo You think i'll make it?
    3
  25056. bro i love the content but please blink
    3
  25057. Very cool!
    3
  25058. wow I did not know you were a Dragon Quest fan
    3
  25059. You rock!
    3
  25060. Shoulder bird would have been quicker at math than me years ago, but I've had a math class every semester now from intermediate algebra to currently differential equations. When I was young, I was terrible. I had still trouble with long division in sixth grade. So embarrassing. Now, it's so much easier. Excellent grades. My brain wasn't ready for it until adulthood.
    3
  25061. I forgot to add, mechanical drawing has taught me to think maths outside the box. For example, you can easily work out an equation of a shared tangent to any two unequal circles, that is, if you remember what you did during mechanical drawing classes. I was once the only girl in a high school to have studied mechanical drawing, which HUGELY helped me with maths. Girls who didn't take mechanical drawing classes were weak at maths, whereas boys who took them did very well.
    3
  25062. My best performing time is at night 10pm-2am used to be the time I study hard, but it eventually got in the way of my energy so now I try to go to bed earlier around 12, but still can’t fall to sleep till 1am
    3
  25063. I feel so grateful to you sir!!!! whatever situation i would be going through having tough time with myself ... i suddenly find one of your videos which is so apt .. n perfectly answer my questions at that point of time... i cant express how much relief your words give to me each time.. every word you say is so touching n boosts me up sir. My heartfelt gratitude to you 🙇🏻‍♀️
    3
  25064. Hey, great channel. If you don't mind me asking, which university did you go to? Also, thanks for the helpful videos!
    3
  25065. The work you are doing is not like anyone else, im not religious but "god send you" comes to my mind, im reassuming my studies today, gracias profe!
    3
  25066. Question though, why isn't 0 a natural number? It falls under whole, integers, real, complex all that. why not 0? and no I haven't found a satisfactory answer to this darned thought
    3
  25067. yeah makes sense. I mean people didn't even know what to do with zero when it was discovered. it was used for something bigger than 9, as in 10 is the zero but for the tens numbers
    3
  25068. Reminds me of Marge Simpson lol.
    3
  25069. Do one where the professor just skips all the steps and is like “you should have learned this in your previous class”
    3
  25070. Do You have a calc 2 vid? Brou .. thanks for this one
    3
  25071. I'm a physics major and its taken me a very long time to even jump from Level 2 to Level 3... i think I'll be in Level 3 for a long while
    3
  25072. Imagine having this video as an ad in TV at 3am or something.
    3
  25073. Very nice
    3
  25074. lol
    3
  25075. Pleaseee, make a video about the book Whats Mathematics by Courant, it'll be great! Thanks!
    3
  25076. While you can find complete solutions to most textbooks online, it’s nice to have answers in a book instead of a screen. Easier on the eyes…and the nose lol
    3
  25077. I wonder if he reacted to any of my comments.
    3
  25078. GOSH DARN IT I WANT TO SNIFF THE BOOKS TOO.
    3
  25079. How is Hoffman and Kunze Linear Algebra?
    3
  25080. 30:39
    3
  25081. Very clear. Thanks!
    3
  25082. Bayesian probability can be a very useful tool for teaching proper sex education. I am sure you can figure out why. Hint: it has to do with using protection, or various means of birth control. And this is how sex ed can be merged with math classes in high school. Religious parents has zero room to complaint. Because if they do, the school can teach them about faith and belief in terms of probability. Now which type of critical thinking would they prefer their children to be aware of. ;)
    3
  25083. It's maths, not math; I'm out.
    3
  25084. Fantastic! I truly appreciate your channel! All the best to you!
    3
  25085. Wow that is very quick.
    3
  25086. Using Integral to find volume! Now you speak lingo!!!
    3
  25087. You know this channel is good when you are watching math videos where you don’t understand anything, but still watch for the fun.
    3
  25088. I like the classic text Calculus Made Easy because the author understood that the real difficulty facing the student is the vocabulary. Math requires extensive vocabulary on top of the concepts themselves. Math teachers are simply clueless on how the lack of vocabulary is preventing the students from understanding. A lot of them simply quit speaking as that put up line after line of a problem and its solution. The symbols don’t speak to a student who can’t read them-it’s written in another language. The instructors focus endlessly on problems and transformations and elegance of solution, but they should just try to read the symbology out loud using standard English.
    3
  25089. I really liked your video, I woul like a general proof, anyway U helped me a lot :)
    3
  25090. Terence Tao interview in part about IMO 1988 (he was 13!) problem 6: https://youtu.be/MXJ-zpJeY3E?t=175. The other side (Zvezda Stankova, actually bulgarian, one of the few people who solved this problem) [jump to the story]: https://youtu.be/NcaYEaVTA4g?t=1512
    3
  25091. 👍
    3
  25092. Thanks man
    3
  25093. I need talent to keep being lazy so I have a job.
    3
  25094. It should be noted how much you pointing out the mistake(s) should be appreciated. A lot of well meaning channels on here just post bad proofs and never point out the errors. This is a huge contributor for misinformation and should be reprimanded wherever it is seen, which on YouTube is far too frequently, so thank you for standing out
    3
  25095. It's soo clear how could i not see it thanks math sorcerer
    3
  25096. Hah "it's math, everyone is confused."
    3
  25097. Great vid
    3
  25098. That's the reason I've been failing all these years. I needed that. Thanks.
    3
  25099. Greetings, Mr. The Math Sorcerer. You make the good vids. Thank you. Might you inform me: how does "point estimate" differ from "sample proportion"? What I understand: - the value of a point estimate and a sample proportion is found via an identical equation that is written as follows: p-hat = x/n. Both pt. estimate and sample proportion are statistics (not parameters). But, that's about all I understand (if my understanding is correct). My Pearson published propaganda novel does not explain much. Thank you for any help you may share:)
    3
  25100.  @TheMathSorcerer  Thank you very much for all of your videos, and for replying to my question. Sometimes, when I finally decide to post/ask a specific question, some sort of anxiety is relieved, and I tend to "suddenly" discover the answer before whomever I've asked can reply. This was true in this particular instance. It appears that I was failing to associate "sample proportion" with the definition of parameter - recognize that "sample proportion" is a parameter. Finding your reply, and reading it, finds me with further reinforcement of what a point estimate is, and that I need to be sure to recognize a population parameter (numerical value assigned to a characteristic of a population?) when I encounter it. You'e great, Mr. The Math Sorcerer. Thank you.
    3
  25101. Hahahah nice one!!
    3
  25102. Thanks جزاك الله خيرا ❤
    3
  25103. i write them when i dont understand, its good to note questions, its better to see the main idea immediately of the paragraphs
    3
  25104. I have a book by this author and translated to portughese fron the second edition 1972 - 1976. I totally agree, it's an exellent and complete book .It was my guide during my calculus course in college.
    3
  25105. Dr. Math back with more help! Thank you!
    3
  25106. Beautifully said
    3
  25107. I think it's a developmental thing which is also triggered by previous exposure to the topics. Like kids have a unique and the most logical way of learning things because they have no preconceptions. They just start fresh. But adults have to also overcome the barriers of all bad thinkin habits they accumulated over years(which is necessary for survival of course) while learning something new. Math is such a subject. It's always the way one sees the problems infornt of him not the damping of sheer work you put into it. There is always a smarter way to do things. People seem to naturally get these at a younger age
    3
  25108. The Math Sorcerer :) thanks for the answer , I will get a book on proof writing for some practice
    3
  25109. Can you make a video on jobs and your route to be a professor ?
    3
  25110. Great reminder. we keep looking for new things, disregarding what we have.. that means one will never get anywhere.
    3
  25111. Great video, I think it's best to be open as often as possible. Hey man, it looks like you have a pretty nice math home library, could you make a video giving advices on how to put one together ? I tried to find something on your channel but I didn't get anything on that...thanks in advance
    3
  25112. My dissertation on Gridiron Mathematics needs this book 😊
    3
  25113. Now in Spanish XD Se puede ? 😅
    3
  25114. Definitely have heard of this book before, but I believe Michael Taylor 3-volume set of pdes is more like a bible similar to serge lang in algebra
    3
  25115. i like both math and league :)
    3
  25116. Loving this series... it gives insight into your approach to heuristics.
    3
  25117. You the goat
    3
  25118. Thanks for this video. It's so relatable!
    3
  25119. Well... "Real Math" as opposed to "Applied Math", is very abstract and difficult. Even the Physics Department usually avoids Mathematics and the Mathematicians say that "Any explanation is good enough for a Physicist"... ha ha ha...
    3
  25120. 37 years old with a Masters in Forestry now having found an interest in math for self study. Somehow made it all the way to a graduate level degree in science without a single course of calculus. Two years ago I decided to tackle this intimidating subject by starting with pre algebra, algebra 1 & 2, geometry, trigonometry, and precalculus all on Khan Academy. Then got Larson's calculus and am now working on related rates and applications of differentials. Also recently dipping into linear algebra and some statistics with other texts. One of the main reasons I decided to go back and learn those topics I missed is because I can't have my future children knowing more than me. Actually at this point I am more curious to see how far I can get.
    3
  25121. Nice to see a book on curves. It just seems like a topic all unto itself, like spherical trig.
    3
  25122. How do you get these used books? , i live in india and i find them nowhere
    3
  25123. Amazing. Old is gold.
    3
  25124. Been trying to put some of my free time into learning math lately and I have found it decently enjoyable but sometimes I just dont get motivated. Certainly good advice and is definitely encouraging. appreciate it
    3
  25125. Thanks for making this easy🙄
    3
  25126. Hi can you recommend any good books for Laplace and Fourier transformation for reading , I couldn't not find??
    3
  25127. Prove "if x>=1, then x^2 >=1" .
    3
  25128. Thanks
    3
  25129. Wow thankyou soo much
    3
  25130. Very nice M.S. it spoke to me.
    3
  25131. I love You , México 🪡
    3
  25132. first
    3
  25133. If you were shot while holding those books. It's guaranteed that you'd see another day
    3
  25134. The books not that old and those formula and equations are still taught in undergrad & grad work .
    3
  25135. Thanks!
    3
  25136. All hail the math 🧙‍♂️ 👍
    3
  25137. I do believe in books too. Watching a video tutorial is good guys but i realize in a long run that i am just waiting for them to feed me the information. And when i watch yt tutorials, i do take down notes nd listen to their explanation but honestly its just the same as sitting in your math class trying to comprehend everything your teacher say. But it's a key to learning guys! I suggest you read books and watch tutorials too!
    3
  25138. There's a new nightmare quiz scenario: Instructor says put down pencils and open laptops to write math quiz code, compile and run it, then upload to a grading server before the end of class bell rings. It's never happened to me, but there's a first time for many things ...
    3
  25139. This is exactly what I needed to hear!! At the end of last semester I was ready to give up, but knew I would be heartbroken if I did. So this semester I’m taking abstract algebra 2 and topology. And I’m ready to work hard. So THANK YOU for ur words!!
    3
  25140. It seems your specialty is analysis? Next maybe some discrete math? I don't recall seeing much on algebraic geometry by you
    3
  25141. 244 likes 0 dislikes.... Haha! You are just getting better, Sorcerer !
    3
  25142. You blew my mind when you said you're not originally American :O, but that's cool. I don't think I could master the English language that perfectly if it was my second language.
    3
  25143. Perfect
    3
  25144. Only legends use sumatra pdf😂
    3
  25145. I am starting my official College Algebra course in 2 weeks, my biggest issue to overcome is getting a good workspace setup. Using the Stewart Redlin & Watson Precalculus 7th Edition. Haven't done any math in close to a year, yikes!
    3
  25146. Great advice.
    3
  25147. Do you suggest repeating past solved problems for retention?
    3
  25148. well done!
    3
  25149. holy crap these are my exact methods for studying.. precisely down to the instrumental music. although, I think I'm still in the stubborn phase of thinking I can do everything without sacrificing much - hence why I have a diverse set of hobbies haha my favorite instrumental mix at the moment: https://www.youtube.com/watch?v=aJcDQCG1psQ
    3
  25150. Just found this channel and absolutely love it. Keep up the great work!
    3
  25151. I do not know if it is the best but something is for sure...it is one the hardest. My guess is that it was written by people who are excellent mathematicians but lacks pedagogical skills. I think Haberman's pde book is a better choice from a pedagogical point of view.
    3
  25152. The best way to learn calculus is to learn calculus.
    3
  25153. I see a guitar. That's cause for concern...😂
    3
  25154. THANK YOU(with capital letters)
    3
  25155. you look similar like issac newton
    3
  25156.  @mroh5052  ok, thanks for clarifying
    3
  25157. I think that I got it. I went over this video once again and heard your story about how you used to be the introverted and quiet guy in undergraduate college, all of which then changed when you went on to do your masters and then, as I am assuming, a PhD, because you've mentioned something about having a mentor and also doing teaching assitanships. So, I think that by 'grad school', you must be referring to masters or an integrated doctorate.
    3
  25158. Hi Charles, I took a look at Chemistry when I was making up my mind between being a Math Teacher or being a Science Teacher and Chemistry has a Math all to itself. You know the Periodic Table, with those Valence Numbers and Atomic Weights and stuff. Well, every Row and Column means something. And when you are calculating what you need for a Chemical Reaction you need to BALANCE the quantities. I didn't spend long with it, but it is really not very straight forward. I guess it can be compared to Factoring Polynomials which only becomes easy when you have gone through every number from about 1 to 400 (20 times 20) and are sort of familiar with each number Prime Factoring. SO, if you plan on taking Chemistry, then get yourself a few cheap used chemistry books and get to work making those Balancing Calculations or whatever they're called. It is one of those things that you don't want to learn while your grade point average is involved. You will be more comfortable if you get enough practice to get the hang of it.
    3
  25159. Taking breaks is good , it makes you feel uncomfortable but when you get back to work, you feel more relaxed and think there's less time to accomplish what's at hand...
    3
  25160. I have books "Trigonometria Plana e Esférica" by Frank Ayres Jr. Good tips. I save your suggestions of maths books . Thanks . Regards from Brazil.
    3
  25161. I wish I got this advice in school.
    3
  25162. In this case that the second derivative is zero,keep on the 3rd and 4th derivative etc. until one derivative is not zero (otherwise the function would be a constant.). If this is an even number of derivative, then the function has extremer at this point. If it is an odd number of derivative, then it has no extremer. If this even number of derivative is positive, then it is minimum. Otherwise maximum. This can be proved from the Taylor series of the function.
    3
  25163. Hi math sorcerer, I am from a non tech non math background I am thinking of switching in to data analysis and one of the things to learn in data analysis is statistics as i have no background I wish you could make regarding list of books that one can use to study statistics in academic sense that is used in data analytics. As well as a seperate video on advanced statistics and math used in data science, machine learning, artificial intelligence and algorithms. Thanks
    3
  25164. I'll give my two cents as someone writing a dissertation on PDEs. For me, PDE has been interesting not only by itself, but also as motivating examples to study many other structures in mathematics. For example, the weak derivative being the closure of the strong derivative in the Sobolev norms are the first class nontrivial examples of closable/closed operators, and fundamental solutions being the motivating examples for the study of convolution type singular integrals. The key to really get on this road of exploration and the most out of learning is to think "why does this technique work?", or "how may I have come up with this myself?" In other words, don't just treat the solution techniques as black box magic tricks, think about why you would look for this method yourself. The same for properties of solutions-why should you expect, for example, that harmonic functions satisfy all the nice properties they do, before doing the proofs? Of course, this would be much more helpful if you are able to discuss, especially with people who are already experienced in PDEs!
    3
  25165. Thank you, very helpful!
    3
  25166.  @TheMathSorcerer  Can you post the link to some of them? Or do you remember any of the titles so we can quickly find them on your channel?
    3
  25167. Started with math from the scratch by myself, 19 years old, after several years in middle/high school not caring about it. I entered the college still having difficuties grasping math-related subjects, but I never accepted that I couldn't do it. Feeling frustrated was part of it, but feel defeated was never an option. Now I'm finishing my college degree (I'm not a mathematician, but my degree has math basis) with sufficient level of understanding in maths to apply in my area. Also I can read through math books by myself, and also provide proofs for some stuff, if needed. Not giving up is (one of) the key(s) for the success. We can do it! :)
    3
  25168. There's a simple programmatic way to build the first entries to a truth table with n variables. The number of lines needed is 2^n where n is the number of variables. (E. g., with three variables, 2^3 = 8). Start in the right-hand column and alternate T's and F's until you run out of lines. Then move left to the next column and alternate pairs of T's and F's until you run out of lines. Then continue to the next left-hand column and double the numbers of T's and F's until completed. When you get to the first column it'll fill with the top half T and bottom half F. You may start from the left aswell if you start it like so, and half the pattern instead of double.
    3
  25169. Calculus is a solid brick wall, until you get the insights to help you build the doorways to enjoying it. Understanding the fundamentals is a good starting point.
    3
  25170. Thank you sir!
    3
  25171. I’m liking this kind of content. Computational thinking vs Mathematical thinking 😎
    3
  25172. You are young as long as you keep learning. I have already crossed my 50, still learning focussing on what i missed.
    3
  25173. I am surprised by this, and I am very happy that I am surprised
    3
  25174. I think either you're in a manic episode, or you just LOVE math. You've uploaded so many videos just in the last few days! It's incredible. Love your videos - good explanations and easy to understand.
    3
  25175. Please prove for irrational num b/w two rational
    3
  25176. I agree a whole lot! My advice is to seek mathematicians who feel this way and read their work. I began my studies with the guidance of mathematicians through their books who felt that the discipline should be available to people no matter their formal studies. Those people in my experience are very creative and often are working on really amazing, far out stuff and they take necessary steps to communicate their work to you clearly. So you get to jump into advanced research very quickly. It is true that the really interesting stuff is the graduate level topics and we've got to wear strong discipline to get to that level. In my experience, tests are more difficult than self study however you learn to game them. Self study gives you amazing confidence when you open a graduate level book and you understand say 75-80% and you know that you can do it. The undergrad prereqs then become a formality which takes some years however your discipline, courage, and devotion to the light of math experienced in self study takes you straight through. The most important lesson is to enjoy. Happy New Year everyone.
    3
  25177. Skip stats, take a good probability course instead. It's closer to real math 😂, and much more interesting. Yea, I know, shots fired.
    3
  25178. this is a really good & accurate video!
    3
  25179. I was thinking about "maths" the other day. Think about: we say "mathematics." So, not outrageous. It's a British usage.
    3
  25180. This is the first video where he doesn’t look like Jeff bezos
    3
  25181. Always Calculus!!
    3
  25182. thank you!
    3
  25183. If his hair is a little short or has no hair, I think he would look like Jeff Bezos 🤔🤔🤔
    3
  25184. Thank you so much for sharing
    3
  25185. Do you have any books to show on mathematical modelling. Like how to approach applying math to real world for people.
    3
  25186. Thank you for introducing Tabular method to me
    3
  25187. Differential Equations are what I've been doing since 5'0 clock in the morning these days for the Bachelor Second Year. I am new to the subject and I've been enjoying it. I have a pretty good knowledge of Differential and Integral Calculus. I'd love to get that book of your's. But what I've got for myself is an excellent one too. It is written by a Nepalese author Tek Bahadur Budathoki "A textbook of Differential Equations". You look like a 16th century's mathematician, sorcerer. Are you related to Pythagorous by any chance? 😂😂
    3
  25188. Wow it seems u r an avid reader
    3
  25189. I finally got it 😁,my cousin use this to mess my mind, now I can't get fooled! Thanks
    3
  25190. I was just thinking about math problems! 😳
    3
  25191. Great advice also you look like jeff bezos
    3
  25192. its help full sir thank u
    3
  25193.  @TheMathSorcerer  I was joking! 🤣
    3
  25194. I used the Stewart book in Canada for college level calculus 1, 2 and 3.
    3
  25195. THANK YOU SO MUCH :)
    3
  25196. After watching professor Leonard up to calc 3, your going to teach me the higher math! Thanks. Love your vids Edit: Dang, I thought you had a lecture playlist of Real Analysis :(
    3
  25197. Thanks for refreshing us
    3
  25198. I am so sorry. That was my first thought after watching for a few minutes.
    3
  25199. Thanks for the video! It's very helpful.
    3
  25200. No doubt...it is really good book 📖📚.... being a maths lover...I must say it is really helpful for beginners n further learning... thanks YouTube for recommending me such a nice video 👏🌟
    3
  25201. Why would a business/economics major need linear algebra?
    3
  25202. I was in remedial math in my early days and I studied math for about two years and now I study even more everyday probably about at least 2 hours and I'm only in the midpoint of trigonometry! I was studying chemistry in most of the time, but decided to only focus on math a few months ago. I am finally get into calculus in approximately about a month in a half. I love it and I am wondering what you think I can do with it once I become good at calculus one and two? I was wasting my time writing books before.
    3
  25203. Unbelievable! In India we study advanced calculus at age 16-17, i request you to take a look at some IIT JEE ADVANCED maths papers, you'll be shocked to see how much pressure we go through
    3
  25204. That cover is really cool
    3
  25205. im going with the last one because it was discounted for 100 USD. Excited to use this one, as the other ones are so expensive.
    3
  25206.  @TheMathSorcerer  Thanks alot for this video man! I'm currently trying to teach myself calculus and this video helps alot!
    3
  25207. Another good video, Sorcerer. I am seeing a theme over several of the latest posts. Many viewers are looking for encouragement to study mathematics. And, I do understand the anguish many people feel undertaking such a difficult course of study. I am wondering if you could offer a little insensitive for the young aspiring mathematicians? Would you do a video on the prestigious Fields Medal? What it is, how to aquire it, and some of the recent winners of the award and their work? While I'm too old to receive one, well over 40, just knowing of its existence may inspire a future sorcerer's apprentice!
    3
  25208. Note: Velleman has NO ANSWERS to the problems. Using it as a supplement to a book with answers has helped me. :goodvibes:
    3
  25209. Have you looked into "Everything You Need to Ace Pre-Algebra and Algebra I in One Big Fat Notebook: 1" it's different from other books, it's much more like reading someone else class notes.
    3
  25210. What a clear pronunciation of the spanish name Javier!!
    3
  25211. That's so cool, no tenía idea. Gracias por tus videos, great content!
    3
  25212. Dude FIVE PROOFS A DAY??? On a topic you're self-studying??? That's AMBITIOUS
    3
  25213. Don't give up mostly likely than not your institution has a lot of resources to help succeed. Don't be afraid to ask questions and most of all enjoy the experience. I've met many great people and I'm sure you will to. You can do it always remember that.
    3
  25214. Kind of unrelated, but I think I found a way for professors to write more papers. Start work on some obscure open problem, give it as homework for your advanced undergrads, and take stuff from the best solutions.
    3
  25215. Ain't gonna lie I watched the video
    3
  25216. It helps if the book is well presented, like a city that is well designed, so you have your landmarks. This is perhaps just mnemonic, but it helps manage the information.
    3
  25217. Pero mi límite no dice x-> 0- solo dice 0, ¿Es lo mismo?.
    3
  25218. Most of that stuff could be lying out in the open instead of being secret and I'd still never understand it.
    3
  25219. Thank you!
    3
  25220. Brother your works is so great as infinity I am proud of you I have one suggestion see if it is good to make a video please make a video srinivasa ramanujan notebooks
    3
  25221. Here ❤❤❤
    3
  25222. It is Better to Try and Fail Than Never to Try at All This quote spark 🔥 fire inside me 👍thanks
    3
  25223. many thanks
    3
  25224. Thank U:)
    3
  25225. Current World Chess Champion Magnus Carlsen Plays football to be in Shape besides liking the Sport. 😊 Plus there are Chess GMs who are Chubby and even Thicc.
    3
  25226. I hate math but why does this make me want to study math and makes me believe i can be smart at it
    3
  25227. I want to buy such these books i love maths so much and i am from egypt
    3
  25228. Hi, great video, thanks. Is taking math as bachelor and cs / any branch in cs as master a good idea?
    3
  25229. This guy, don’t study math but also study math for the exact reason not to study math
    3
  25230.  @kerPlanck  true.
    3
  25231. I want to see our Math Sorcerer tangle with Jackson's "Classical Electrodynamics".
    3
  25232. I just started distance learning at a staze owned distance university here in Germany. The combination of some homework and a lot of self study is really great.
    3
  25233. Could you recommend an undergraduate linear algebra text. I ordered Contemporary Abstract Algebra by Gallian (9e). It will arrive around 2/22. It was the only book my prof had listed under recommended texts. The book was $22, but the student solution manual was $92. One comment said that the answers in the back of the book were the same as the manual and she was out $100. I did not buy the manual.
    3
  25234. I'll be honest, I came here thinking this was a joke video
    3
  25235. Sir what would be a great book to learn basic calculus and limits etc ?
    3
  25236. This is so true. I was struggling with the concept of tangent in calculus in college. I was sitting on the John when it all hit me.
    3
  25237. Sir please review Visual geometry and differential forms by needham the same author as Visual complex geometry
    3
  25238. Hi math sorcerer I want to be a mathematician one day please wish me luck 🙏
    3
  25239. The library is helpful. Not all books include practice problems. And as you mentioned, for some math, there might be a lot of other math you need to know first. This isn't always made known. While I will/am learning some calculus, at 59 prefer being familiar with it as I am pursuing an experiment in atmospheric chemistry and physics. Kind of helps to understand the math behind the KE of gasses and what influences that. 🙃
    3
  25240. Well you actually helped me really thankyou😊
    3
  25241. Python & SQL programmers should make a video like this please. In order of difficulty 😅
    3
  25242. Thanks for the great vid! I am most certainly will get the Schaums Outline for Complex Variables for self-study and reference.
    3
  25243. I have a question, if i dont take math in college, is it possible to finish all math with just self study?
    3
  25244. Awesome channel...Is there any early chapter Larson content?
    3
  25245. Mu or micro?
    3
  25246. 二
    3
  25247. The philosophy sorcerer
    3
  25248. OMG I LOVE YOU THANKS I WERE SO CONFUSED BEFORE BUT NOW EVERYTHING IS OKAY
    3
  25249.  @TheMathSorcerer  thats if you have sleeped in the last 22 hours
    3
  25250. 6 : 30 is best once my morning coffee kicks in.
    3
  25251. I think that academia in general can be very elitist, but you're right in that inaccessibility due to requiring hard work to learn is not itself the problem. Hard work can make something inaccessible, but that's a problem for society in general (people not having time on their hands), not Math as an institution. What makes academia elitist is due to: -Internal inaccessibility caused by social status restrictions (e.g. getting into Harvard because you know the right people or because your parents are rich). -External inaccessibility caused by Mathematical study going towards topics & applications that primarily serve the ruling class, rather than ordinary people. One thing that has been nice in the past few years is youtube has made complex academic subjects a lot for accessible due to people making video essays.
    3
  25252. Honestly not hard
    3
  25253. Wouldn't you need to then show by a symmetric argument that its true the other way as well?
    3
  25254. Sometimes what may be seen as low standard is actually really high standard. The person not applying for a job could be a perfectionist that doesn't want to get rejected. For these people (like me) sometimes the opposite works, to realize it's okay not to be perfect, to get rejected, just lower your standards and do it.
    3
  25255. Luv math but was traumatized by Topology due to poor proofs skills
    3
  25256. Wow! Terrific!
    3
  25257. math is a hope giver
    3
  25258. attitude persistance and work is strong resolve if stuttering a solution
    3
  25259.  @TheMathSorcerer  Saludos profesor!! : )
    3
  25260. Such a cool professor love him.
    3
  25261. Omg I'm also blessed with the ability to have very great math skills
    3
  25262. yes, this is from Zill, I can confirm because I am currently doing the same problem.
    3
  25263. Anyone else reach the point where you like his videos before it even loads?
    3
  25264. GREAT AS ALWAYS...😄👐
    3
  25265. Well I know whose identity I'm gonna steal now XD
    3
  25266. I think its pronounced Lie-b-nitz ;o
    3
  25267. Hi , what do you think about Gilbert strang's book introduction to linear algebra is it full ?
    3
  25268. Thanku so much😍😍😍
    3
  25269. Don't stop with these videos! Really interesting stuff! Helps a lot!
    3
  25270. This is the idea of hedge funds plus the broad investments in all types of stocks. The original idea of hedge funds was to defend against inflation not to get real profits. Today it changed a bit... However hedge funds only work better than any traditional fund in the short run during an inflation crisis if ceteris paribus. Brasil
    3
  25271. Good Video. Could you do a book Review about langs Undergraduate Algebra?
    3
  25272. but a good one
    3
  25273. Well helpful thanks so much👍🏻
    3
  25274. I will add that another rich source of ‘insane’ algebra problems (among many other math topics) can be found in a book titled Problem Solving Through Problems by Loren C Larson which I used in the mid 80’s when preparing for the Putnam exam.
    3
  25275. It did help me!
    3
  25276. Well, depends on the definition, but math is elitist in a way. However, not as commonly understood. Arguments from authority will not work. I am Prof. Dr. Fubar and your counter example is therefore wrong ... will classify as a good joke. Further, your math is wrong therefore your drone can not fly will also not work if the drone flies. There are local errors in math that do not matter, like an even number of sign errors in a linear enough setting. As someone who studied physics and mathematics the former makes you somewhat relaxed with respect to certain kind of errors ... they do not really matter for applications.
    3
  25277. Thank you very much for this beautiful explanation. I have a midterm exam today. It will definitely work for me. Greetings from Turkey 👋
    3
  25278. It would be great to have you as a professor! Calc 3 exam tomorrow, wish me luck
    3
  25279. hey math sorcerer, i was wondering if youve experienced something similar to what im experiencing. See ive been doing so much upper division proof based math that I feel like my algebra skills are deteriorating. I have no problem doing a hard real analysis problem, but I feel like I would probably get stuck on a hard algebra problem. Has this happened to you before?
    3
  25280. im only going to start college when im 23 because im busy getting a solid foundation in maths before i go
    3
  25281. This library is so awesome
    3
  25282. First🎉
    3
  25283. Hi sir
    3
  25284. Would Love more PDE Videos if you have the time man keep it up!!! Just Subscribed and am hoping for more
    3
  25285. you watch "calculus revisted" by herbert gross.
    3
  25286. Thank you so much for the video...
    3
  25287. Just want to add, people on social media who look great aren't due to genetics plenty of times. It's most likely steroids, and sometimes also photoshop. In fact barely anyone has the kind of crazy genetics which makes them look buff like that. Noel Deyzel talked about this.
    3
  25288. U should try spivak calculus book I had val 1 but did not include newton methods
    3
  25289. Man, how I wish I had heard this before... It's like you know my whole academic life LOL! Thanks a lot!
    3
  25290.  @katto4586  thanks buddy's... I'm PhD scholar in mathematics (Fluids Dynamics) 😊
    3
  25291. This made me laugh hard! 😄
    3
  25292. Sorry but this is the BABYLONIAN method (approx 1700 BC!).
    3
  25293. I bet no one is going to read this, but I still feel like I have to write this down while This is still fresh in my mind. Many people laugh at people who like math(unless you are really good or something) calling them nerds. Many people hate math, and ask how does anyone like the subject. The question should be why shouldn’t we? As one philosopher Ayn Rand puts it in her book on epistemology, math is the way man takes the immensity of our universe and bring it down to the humanly perceivable level. In essence, it is a way of looking at the world as it is in its glory, its highest level. Another philosopher Schopenhauer says that art, and particularly music, is a way to express the highest form of reality. So in a sense math is like an art, and it should be viewed that way. Unfortunately it is dismissed as boring and unnecessarily difficult. If you read this to the end, then you are a hero.
    3
  25294. At the end of your video you had a review, so you had a review in a video about the importance of reviews, nice.
    3
  25295. I love that shirt
    3
  25296. Do one more book review and you will have reached a century book reviews by then.
    3
  25297. Thank You :)
    3
  25298. Nice !
    3
  25299. Is there any particular ordering scheme you use to organize your math books? At a glance, it didn't seem to be by author or title or subject.
    3
  25300. Wish you’d teach elementary analysis 😭 is there a way to understand that????
    3
  25301. I am going to start literally from zero. Even tough I know most of the highschool math, I have this necesity of being aware that I have learned it well. I'm brazilian, and there's enough basic math videos in portuguese. I think I am going to see all this videos and only start buying books when I start learning college subjects. Thank you very much for this video :)
    3
  25302. This is great! Thank you for sharing your knowledge!
    3
  25303. Sorry, All knowing Math Sorc if i cut into your commissions :(
    3
  25304. 😍😍😍😍😍😍😍😍😍😍😍😍😍😍😍😍
    3
  25305. A good message but does come up against the practicalities of the college student. It's fine if you're like me a retiree, relearning and amplifying what I learned in college. I have no deadline. As a student when you've got other classes, other problems, to do, sometimes those problems that just won't yield might have to be abandoned, at least temporarily, so that everything else doesn't go down with the ship while you're banging your head against that one problem.
    3
  25306. Unfortunately my stats lab doesn’t put stat crunch on it I only have my calculator 🙃
    3
  25307. First up, programming is the least important topic in a CS degree. I know that makes no sense, but I graduated GA Tech cum laude and I still only knew the C language at the level where I began. The CS curriculum is at least 90% applied math. Oh, right, I did in fact learn LISP, but the language itself was only covered in the first two days of class. Late Adds were out of luck. The point of the math through linear algebra is to set CS students up for the first important math courses for software designers and engineers. Those being combinatorics and Big O. In fact, I recommend watching videos on those topics now despite not knowing exactly what they are talking about. If nothing else, a reasonably bright high school student should get a sense for where all this is heading. After taking combinatorics, I was ashamed of the software I had designed before that class. The topic is THAT important. I was a radiochemistry lab manager with only an associates degree before I went back for my CS BS, and I had already written my own lab management software that connected multiple measuring instruments. However, it would never have scaled up to multiple labs. Knowing combinatorics would have changed all that. Caveat: This is the short YouTube response, which means its accuracy is fuzzy. BTW, fuzzy variables are another topic that will turn programmers' worlds upside down. (:
    3
  25308. Thanks so much. Great video
    3
  25309. I've just come across you, Math Sorcerer and believe you have me under your spell! Any chance you have/are developing a course on linear algebra for Udemy?
    3
  25310. I think you should include these new videos on your Udemy course. Thank you.
    3
  25311. 👍🏻 easily understandable video👌 ,we want more examples.
    3
  25312. You're starting to scare me!
    3
  25313. Thanks man, you made my day!!!
    3
  25314. Fish, juicy fruits, eggs, nuts, and leafy vegetables are my favorites
    3
  25315. Hey MathSorcerer! What do you think about Apostol Calculus? Or what do you recommend? 👀
    3
  25316. THANK YOU !
    3
  25317. I memorized the multiplication table! Lol I'm so horrible at math. But you're inspiring me to self study statistics before I enter it at my undergrad so I have a fighting chance of passing it.
    3
  25318. Very optimistic, human centric, and aspiring message to watch! However, I suppose you agree that genius is more than knowledge. It would be great to get feedback on how to develop other skills that form a genius mind, such as problem solving or analytical skills .
    3
  25319. Dover books are amazing ❤️
    3
  25320. i can relate to this comment more than i can express through words!
    3
  25321. Dude you made me get these stupid fractions in limits finally. Appreciated
    3
  25322. This makes me miss college a lot. I graduated over a year ago with an EE degree. I got a pretty good job but I feel like doing graduate studies in applied math. Probably would have to take some remedial courses though (Advanced calc, etc). Wish more universities offered night classes for workers :/
    3
  25323. Well done. Very helpful and clearly explained. Thanks!
    3
  25324. I can not thank you enough for all the videos you upload about math. I promise I'll donate to your paypal when I can brother YOU DESERVE IT
    3
  25325. thank you mighty math sorcerer
    3
  25326. Wow you always just surprise me with your amazing picks 👌.
    3
  25327. Nice video
    3
  25328. No . He just want to prove that he is cool 😂😂
    3
  25329. Its not forgotten I learned it in college about 8 years ago.
    3
  25330. Use rubber cement or "Shoe Goo" to reattach the binding of your Linear Algebra book.
    3
  25331. Maths with Killer Bob.
    3
  25332. Love your videos sir
    3
  25333. I still have that book from college in my personal library! Wow!!!
    3
  25334. Reminds me of „Why Math?“ by Rodney David Driver (* 1932, London) in Undergraduate Texts in Mathematics. A wonderful textbook experience! 🎉
    3
  25335. 5:40 shoot ohh okay, duh, solved Y for U that's where he comes from. 6:25 haha he got a bit confused as I did XD 7:40 Damn that's solid, forgot that exponent rule lol 8:40 haha student forgot same exponent rule I did :P 9:10 Oooooh shiiiit, lol Integrating factor, gonna need to review that section aswell 10:00 Dang I think that LA problem woulda been a juicy one to get ready for this steak-meat :-D 11:00 Good Question: about p and e. If it du/dx U sub is with respect to x, if it were du/d0 it would be with 0, or du/dt it would be with respect to t. Cool beans my dude! 14:00 Tabular, derivative of 5 is 0 14:35 Partial credit? My physics prof never heard of that word before. 18:25 Circle back to P(x)
    3
  25336. Great ,thank you! , stopped at 4:49 to say it
    3
  25337. No days off. Let's work!
    3
  25338. The book is better than the movie.
    3
  25339. I have been following ur videos recently. Could u plz suggest me any appropriate introductory book for statistical analysis....
    3
  25340. I really enjoy these videos! Please keep them coming because they are making a difference. Happy holiday!
    3
  25341. We are all strong as our foundations
    3
  25342. Just one time for finals, thank you, It just takes time, a powerful statement.
    3
  25343. Thanks for your great informations
    3
  25344. Absolutely amazing explanation sir
    3
  25345. Are you a math prof?
    3
  25346.  @TheNachoesuncapo  Former community college / high school teacher.
    3
  25347.  @OleJoe  thats awesome!!
    3
  25348. I used the seventh edition when I was in college. I like this book, I consider it a good calculus book.
    3
  25349. tbh i didn't like his method of differentiating. i really liked the style but i feel first principles are a lot nicer than his 'squaring the dx is small so just ignore it' approach.
    3
  25350. All Math People are Elitist. Bravo Sierra. Anyone, anyone, can become a Math Person. Roll up your sleeves. Put in the work.
    3
  25351. a mini-sorcerer
    3
  25352. Oh thanku for showing all the steps
    3
  25353. I think its also the education system they dont give you the reason for allot of stuff.people that are good at math probably have parents that are engineers and programmers and probably show them the reason for certain things.math was one of my worst subjects growing up but than I started learning music theory and started liking math.our brains throw things away we don't see a use for and they hold on to things they se useful
    3
  25354. I love you man and i love your channel and how you think ...but your eyes are crazy ...good vibes👌✌❤❤🙏🏻
    3
  25355.  @TheMathSorcerer  yep, actually chatgpt is quite helpful, but you must know what are you doing, it is just a helper, it will not replace the brain.
    3
  25356. Ive wanted to work though spivak forever. thanks for the answers review. wondered what was in it.
    3
  25357. Stewart's book is the easiest one！Larson is simple too！I think the classical one is the book written by Salas！
    3
  25358.  @TheMathSorcerer  lots of love and respect from Pakistan ❤❤❤ thanks for reply sir.
    3
  25359. I was looking at the thumbnail for so long wondering how that could possibly be true but turns out there was a typo lol
    3
  25360. Thank's for a new video. I've spent 3 month to pass calculus from the begining and I l've liked it
    3
  25361. i came here as a 15 year old right now in 10th grade cuz i will be taking cs major and discrete math is required for that
    3
  25362. I love you math sorcerer
    3
  25363. concrete mathematics -- a book about the mathematics of concrete
    3
  25364. this is applicable to literally anything lol
    3
  25365. Thanks guys definitely going to look into it
    3
  25366.  @billmorrigan386  Thanks for the reply.
    3
  25367. Thank you i really need to hear this as a engineering student.
    3
  25368. I was just listening to Stephen Wolfram on the Lex Fridman podcast, and he was talking about his theory of everything that was centered on graph theory.
    3
  25369. Hmm I think I remember about Thomas's book, but I didn't use it. It feels more like an engineering calculus book with an emphasis on calculations than on making proofs, which is undeerstandable. We used Adam's calculus in college, which looks (on the surface) somehow similar to this thick and complete book. I didn't like it much though. After completed Calc-I and II, I was still not sure about how to use mathematical techniques for solving real life problems, rather than for solving exercises at the end of the chapters... ;-)) That's a big engineering problem...
    3
  25370. Thank you, great explanation
    3
  25371. Thank you, I needed this. I have a math test tomorrow, and a math final exam next week.
    3
  25372. I hate math 🌚💔
    3
  25373. Love your editing 👏
    3
  25374. @The Math Sorcerer, can you make a video about the importance of creativity and not always being super-logical or analytical? Maybe share a personal experience where you stepped outside of your comfort zone and benefited from it. I whole-heartedly agree that planning and logic has its place in academia and life but so does creativity. Personally, I believe everyone has a touch of flair or creativity and we should nurture that as much as possible. Thee mathematicians can crunch the numbers and make the dreams a reality but someone still has to dream the dreams.
    3
  25375. "Most Calculus Students Can't Solve This" Yes. I can't because I already forgot everything 👍
    3
  25376. me watching "hello, I'm professor professor Dork" "hello, I'm professor Hagem Burger and I like hamburger" be like 😂😂😂
    3
  25377. This is certainly new. I have never seen you review a book on discrete math. I like it.
    3
  25378. thnaks man this helped so much keep cool
    3
  25379. Las matemáticas no son difíciles si vas lento. Si vas rápido entonces vas por el camino incorrecto.
    3
  25380. I really needed to hear this Math Sorcerer as Advanced Calculus was really pushing me past my limit (pun intended). I love the subject and would love to learn math, but I struggle with moving on when I don't understand something which in this case is multilinearity. The textbook for the class is hard to follow as well but there are really no other texts which covers the material specific to the course I am taking as it was offered as a new course this year for those of us on an advanced track. To offer more context, I am a physics and chemistry double degree student who is very much interested in independently learning the disciplines which undergrad math students learn such as real analysis and complex analysis. The topics covered in my advanced calculus course are: Student Learning Objectives: (a) Students will learn the following concepts: • the concept of differentiability for functions of multiple variables, • derivative as a linear operator, • surfaces and tangent planes, • the concept o divergence and curl, • higher derivatives of functions of multiple variables and their • extrema, • integral of function of several variables, • iterated integrals,• line integrals, • surface integrals, • differential forms; (b) Students will learn the following Theorems: • Sufficient Conditions for Differentiability for functions of several variables, • Chain Rule, • Inverse and Implicit Function theorems, • Lagrange Multiplier, • Green’s Formula, • Divergence and Stoke’s Theorems. (c) Students will show ability to apply the learned concepts to the real world problems: • motion in space, • description of planetary motions, • surface areas and volumes of objects in multidimensional spaces, • optimization problems, • modeling with partial differential equations Textbook: Peter D. Lax, Maria Shea Terrell, Multivariable Calculus with Applications, Undergraduate Texts in Mathematics, Springer 2017. I really want to actually learn and master the concepts, but I need help. I do make an effort to reach out to professor but he is not accessible nor does he have a TA for the class. Any tips and other textbook recommendations?
    3
  25381. Hey The Math Sorcerer. Do you happen to be on the spectrum? You have a peculiar way about you. I find you really cool :)
    3
  25382. We studied this book and the writer was Mayer's. Could you possibly review that book
    3
  25383. Why All of The Great Math Professors Have The Iconic Curly Hair??
    3
  25384. First
    3
  25385. 2:16 " I never took a course in Geometry, never in my life' really?
    3
  25386. I realized that having fun with fun you really will do good. It's not about being a genius.
    3
  25387. I also have an irrational dislike of the phrase "math is not a spectator sport" lmao
    3
  25388. ♡♡♡♡
    3
  25389. This video proved 2 things: 1. Those girls were clearly cheating off each other. 2. Math is terrible.
    3
  25390. This video could finish at 0:05 😁
    3
  25391. Hawk tuah
    3
  25392. Stop staring at my soul
    3
  25393. That was useful. Thanks
    3
  25394. Looks good. I’m new to abstract algebra.... does it include vector spaces ?
    3
  25395. Yeah, but in a more general setting than in linear algebra, i.e vector spaces over any field
    3
  25396. The download link doesnt work. Do you still have the pdf?
    3
  25397.  @TheMathSorcerer  just receive my math package from amazon:) cant wait to read it
    3
  25398. you can introduce/force creativity by linking math problems with nature. in engineering trying to solve a particular problem creates a connection between the physical constraints and the abstract mathematics world in an effort to find and apply a successful model that works for the problem at hand. study physics/engineering in parallel with math ;-)
    3
  25399. Dafuq....well played sorcerer
    3
  25400. Math sorcerer Hey, Why does your calc 3 course not include harmonic functions?
    3
  25401. I bought How to Solve It by G. Polya after watching your video on the book. A copy is also on the way to a nephew who teaches high school math.
    3
  25402. Exercices of limits using definition Very hard. Integral soft Amazingly, the most difficult subject, in my opinion, was exercises using limit definition. Derivatives and integrals were even intuitive. God bless you from Caucaia, Ceará Brazil
    3
  25403. Sorcerer what's your opinion on analysis education being as intractably expansive as it is? As far as I can see there is little coherence going on. Because there is elementary analysis as we know it, multivariate analysis involving manifolds and differential forms among others, measure and integration as the next step, along with fourier/harmonic, functional and complex analysis just so you can get a good grasp of the basics. Unless one gets rudin's 3-4 books or lang's, given that even stein's doesn't deal with elementary topics, you are left with sketchy and/or patchy analysis education. This has been very troubling for me seeking to get much out of little time investment.
    3
  25404. Is that the library book that you are marking up, lol?!
    3
  25405. Brisei
    3
  25406. Going through exams for the final years of my MSc Mathematics program 😢 😪 I need sb to push myself! No one can do it better than myself. I have to push myself to get an A in my tomorrow's test whic is Elementary Operator Theory. Thanks for the great advice and heartfelt motivation 👍 ❤ 👏 Any recommendations 👀
    3
  25407. Nobody is going to believe what I am about say but I am still going to say it anyway. In the past, many times when ever I take a random math topic to study and have a look at it and then do some problems... then if I come to YouTube math sorcerer would have just uploaded a video relating to that topic... I have always wondered what is this connection I have with MS... then today morning while I'm taking my morning shower, I just thought about the forgotten math topics; specifically I thought about spherical trigonometry... Then I come to work and check the YouTube. MS has just uploaded the same topic with same title I thought... This is very shocking for me. I don't know where to share this awe... so I thought, just I'll comment it here.
    3
  25408. I am 60,and just finished Udemy algebra,next curse ..Calculus.
    3
  25409. One should always use as few books to reach a set goal. Hence, a video showing a great maths book that takes you from a zero to mathero is much appreciated!
    3
  25410. Have a good day!!!!
    3
  25411. JUST GOT THIS IM SO F-ING EXCITED WOOOOOOHOOOOOOOOOO
    3
  25412. Thanks, I remember in high school i saw euler lagrange equations and thought, well I'll never be able to understand something that complex and now I'm about to start my phd in physics, Just have to keep learning and moving forward, no matter how impossible something seems at first
    3
  25413. The Math Sorcerer seems like the type of teacher to throw pizza parties in the classroom.
    3
  25414. In is pronounced as Lun
    3
  25415. I love you brother <3
    3
  25416. In my experience, the imposter syndrome really sets in when you self-study. Finding an approach that is conducive to picking up a new skill in math often times requires some level of back tracking. Taking good notes is crucial
    3
  25417. A few months ago I bought the 6th edition at a used book store. The lightning on the cover is white against a red background. Cost was $10.
    3
  25418. TBH, I'm not native English speaker so your English sound terrifying to me but the Video was cool. Please Add Caption If Possible.
    3
  25419. Literally you do 2:10 in around calc 2 and beyond. Algebra is everywhere more than any other math, might as well learn it and get good at it.
    3
  25420. Lol he fixed it before i could see!
    3
  25421. Damn, wish I had access to such nice used books. I live in Brazil but I am used to buying books in other languages (mostly English, but also German, Russian and French) because they have better covers (art and material), translations, paperback material and paper in general (and it's also nice to read in the author's native language). While it's easier to find used mathematics and physics books, they're normally quite expensive. With non-fiction and fiction books outside of math is quite the inverse, most of the times they're cheap but quite hard to find. But it's not that big of a deal because even though I can't cross many names off of my buying/reading list I can always find new ones I didn't know about. :)
    3
  25422. this helped a lot, thank you
    3
  25423. Thanks!!!! I'm from Malaysia , I enjoyed watching it. Thanks for the clear explanation and great comprehension ✨✨✨✨✨
    3
  25424. Have you considered running your book review videos through a program like ffmpeg or transcode to remove camera shake? If it were me, I would do that for all future videos. Hopefully you don't take offense to this comment, just trying to help you improve the quality of your videos, because I too care deeply about math education.
    3
  25425. ily <3
    3
  25426. Hello sir.... As you teach mathematics similarly I request you will you make video on statistics?
    3
  25427. Everyone has talent . You need motivations . Maths is easy becuase it has one solution.
    3
  25428.  @TheMathSorcerer  waiting for your Thomas's calc book review... i need to buy one soon
    3
  25429. this helped a lot thanks
    3
  25430. Next video - "Put out a fire with me" :p
    3
  25431. The book is fantastic and beautifully explained.
    3
  25432. Excellent video.
    3
  25433. You can really feel the pain from all those laughing emojis. "haha i wanna die"
    3
  25434. I easily understood your lecture at one You are requested to work more on Group theory in sequence
    3
  25435. I recommend "Set Theory: A First Course" by Daniel W. Cunningham
    3
  25436. This might be an unpopular comment, but I tend to think some people shout 'elitist' or 'pretentious' about anything they're intimidated by, regardless if there's much substance to the accusation. This happens to be true for math, classical music, drinking black coffee... list goes on.
    3
  25437. Me who’s going to college for computer science: 👀
    3
  25438. Thankfully, though, it ultimately is logical. It gives one a sense of accomplishment when a problem is finally solved.
    3
  25439. As a math failure I can confirm this is true.
    3
  25440. AMAZING!! Thank you!!
    3
  25441. I want to know when to start learning proof writing, i am in grade 10 Egyptian system and i am relatively good at maths, i am starting my journey in self studying math and i got a discreet maths book, so now i wanna know should i start with proofs before i even start my journey or when exactly?
    3
  25442. Thanks for your help, great stuff!
    3
  25443. I can't pass the university entrance evaluation :( but your videos are helping alot hahaha
    3
  25444. Excellent advice.
    3
  25445. Great video, thank you!
    3
  25446. The Infinite Series was the reason why I struggled in Calculus II, but I loved it! Good thing my professor was super good at teaching the material. Taking Calculus III right now and I seem to grasp the concepts fairly fast and well!
    3
  25447. i love your videos!
    3
  25448. DO A BOOKS GIVEAWAY AND LET ME WIN SOME BOOKS!!😂😂(IT'S A JOKE BUT IF IT HAPPENED THEN I WOULD BE HAPPY)
    3
  25449. 1. Anounce a giveaway. 2. Choose random person from comments as winners.(don't forget to choose me) 3. Email or send message to winners and ask for address. 4. Then courier them the books. Plz reply I am giving you my address.
    3
  25450.  @TheMathSorcerer  Should I give you my address so that you can send me books??Plz answer
    3
  25451.  @TheMathSorcerer  Plz reply bro
    3
  25452.  @TheMathSorcerer  Thanks bro
    3
  25453.  @TheMathSorcerer  Should I have to pay money or you had done?and thanks a lot
    3
  25454.  @TheMathSorcerer  PLZ REPLYYYY
    3
  25455.  @TheMathSorcerer  Do you have any idea when ut will come to my home
    3
  25456. A Taylor series with just one term is how we usually do things. (He dropped in here from Physics.)
    3
  25457. You explain it so much easier thanks so much!!
    3
  25458. Thanks Sir 😘😘
    3
  25459. Thanks! youre the boss during online classes
    3
  25460. Awesome, this is like being in algebra, and dreaming of getting to integrals. I don't know what this is.... YET. But physics people ALLLLLWAYS talk about this LaPlace fellow!! So I know he's probably a cool dude. But... have you heard about our lord and saviour Le Besgue?!
    3
  25461. Looks like the Sorcerer is majoring in GAINZZ
    3
  25462. 6 min in i realise it's a 1h+ video , oh hell no
    3
  25463. Congratulations on breaking over 100k subscribers!
    3
  25464. TMS, may I ask where you get the original old copies? Ebay or some dedicated store?
    3
  25465. David Powers was my professor for Boundary Value Problems! That's cool to see someone else has his book that didn't go to my school.
    3
  25466. Looks like Jeff Bezos
    3
  25467. Hey Douglas, I really appreciate this advice, and thank your for sharing. I would also like to share, that I also failed my physics: E&M 3 times, and Thermodynamics 2 times. I still hope I can do some astronomy some day, I'm good enough to apply for maths, so every little bit helps get their. Don't give up on your dreams, we can do this!
    3
  25468. My first year at Uni, Calculus 1.... the teacher said: "If you want to be successful in this course, you have to do all the exercises in the book. Every chapter I teach (and by teach he meant transcribe from the book to the whiteboard) has a few pages of exercises on the end. Do them, and my test will be a cinch." That day, we were presented to the mighty book authored by Stewart. This book has an average of 99 Googol exercises after every chapter. I guess this teacher thought we did NOT have 5 more disciplines to learn, including Linear Algebra and Analytical Geometry, that semester. I must say the Calculus 1 teacher in the next semester was way better...
    3
  25469. Maury was an oceanographer as well.
    3
  25470. "Fast-paced" = Quarters. Make an appointment with your Professor.
    3
  25471. Hi, I love your videos, I'm 24 years old, is a bit late for me to start studying math and get into a high math level?
    3
  25472. My Erdös number is.... n
    3
  25473. Pranam sir jii
    3
  25474. I can see so many books. I think you have lot of nice math books. My room is a mess. There are so many math books on bed. You are very organized.
    3
  25475. 👍
    3
  25476. great story and truth thank you
    3
  25477. School + work is becoming more practical with online education and work-from-home. I'm personally doing a CS degree while working full-time and raising a family, it's a lot but I wouldn't even bother if I had to drive to a physical school. No commute makes a big difference. (Thanks for your Discrete videos, they're helping this 'old' CS student :) PS how the heck did you upload so many videos in such a short amount of time?? Did you migrate from another channel?
    3
  25478. Technically, shouldn’t the 4 on the outside be 4/4 if you distributed it to both the top and bottom? I thought when you multiply a whole number to a fraction, it is only multiplied to the top.
    3
  25479. Hi I'm hmm kind of a new subscriber of your can u make a detailed video on how to master maths from 1 to hmm top level
    3
  25480. I have to admit I give almost all books a whiff. Lol. I love the smell of books - old and new. 🤣
    3
  25481. Grande
    3
  25482. This is the motivation I need, thank you
    3
  25483. The camera composition is good. ^^
    3
  25484. Wow... As a book lover myself, I can relate to your pain. It feels so good when one wants to deep dive on a subject (or refresh) then one's got a good reference book handy! I wish you all the best in you new endeavors and many thanks for passionately sharing your appreciation and love for math and science books!
    3
  25485. Thank you sir for your advices. I am studying mechanical engineering and as you said, I am trying to attend 3 or maximum 4 classes per semester because they are really hard and you should work very much.
    3
  25486. I somehow feel Jeff bezos vibes but with hair
    3
  25487. Would have loved to see the graph of it as well. Nice explanation.
    3
  25488. if only every teacher could behave their students like you do...
    3
  25489. I ordered this book a few months ago, just another version, not the armed forces institute reprint. Enjoying it very much, its already improved my factoring skills. It also goes into more details on complex numbers (such as how to take their roots), than you might find in a "standard" college algebra course. It even goes into cubic equations a little... Very nice old book.
    3
  25490. Hey Math Sorcerer, I've watched every single one of your lectures from Calc 1 to calc 2. I absolutely love them..and I thank you from the bottom of my heart for putting those up on youtube for free. In fact, your lectures have made me develop a passion for mathematics. However, I tend to forget how to solve a problem once I haven't been in touch with the subject for a week or two. It's quite frustrating sometimes..like I've just done the problem, and a week after that, I go to solve it again, but the way to solve it just doesn't come to my head. Am I making a mistake somewhere? Am I rote learning maths?? or is it that maths is a subject that requires you to give it attention every day? Or on that note, how important is consistency when it comes to succeeding in maths? Regards, Ben.
    3
  25491. Totally agree. Thanks for this clip
    3
  25492. First!
    3
  25493. Hi there Mr. Sorcerer! Any advice on preparing for the Math GRE? Thanks for your great content!
    3
  25494. Every Mathematician's Dream
    3
  25495. Your love for mathematics is unreal bro...I am a 3 rd year engineering student and I do it only because I have it in my curriculum...I can't imagine living surrounded with it...hats of to you🔥
    3
  25496. thanks, please keep up your videos on 3d coordinates
    3
  25497. Im studying natural sciences at cambridge and had a rough week with maths, this was exactly what i needed, thanks！
    3
  25498. Math expertise aside, it's wonderful to see an appreciation for typography, typefaces, and design. And then there's the sensuality (as in appeal to the senses) of a good book…
    3
  25499. I won't give up. Thanks for the motivational video.
    3
  25500. Very motivational, thank you.
    3
  25501. Me when I complete my homework assignment: AND THEY'RE ALL DEAD! (Except that's from Dota 2)
    3
  25502. Rudin's Real and Complex Analysis is the best math book I've read. It is incredibly elegant and terse and therefore also pretty challenging. I decided to use this book also for complex analysis since I found it better than Ahlfors' book.
    3
  25503. Yes, every grocery store I've been going to has been sold out of meat, as well as toilet paper. Even at Sam's Club! My friends in real life and on social media are experiencing the same problem. Perhaps people just want to prepare to self-quarantine for as long as possible. And perhaps the sight of others buying certain things like crazy is itself a factor inspiring people to buy the same items. What really troubles me is that firearms and ammunition are also being purchased like crazy. :'(
    3
  25504. Heck yeah
    3
  25505. Proffesor I'm new in your channel
    3
  25506. Can you make a video comparing algebra OR calculus TO geometry and what you think is harder and more challenging when solving problems
    3
  25507. Very helpful..
    3
  25508. thank you so much
    3
  25509. I’m going to be a senior at temple university. I’ve made it through the majority of my math classes now I just have mostly education courses. That is going to be my accomplishment. Getting a degree in mathematics and secondary education
    3
  25510. Thank you so much!
    3
  25511. Third
    3
  25512. Nice advice man
    3
  25513. I'm currently starting college (Mechanical Engeneering) and having to study calculus and analitics geometry stuff. I was reading a book that I found: "All You Wanted to Know about Mathematics (*But didn't even know to ask)" and it talks about proof writing, logical thinking and that stuff. I feel sad that I cant dedicate myself to learn math in the way I think it should be. We should learn write proofs before doing algebra. Logic is so important when it comes to thinking mathematcally and I guess the fact that a lot of people strugle with calculus for example isn't simply because they are "bad at math" but because they didn't learnt to think math properly. I'm happy that I found your video and will certainly aply it for myself! Thanks!!
    3
  25514. Thnxx for your contribution
    3
  25515. Nice
    3
  25516. I love contradiction
    3
  25517. freaking died at "in other words the end of the world" hahaha hilarious
    3
  25518. I just took a semiconductor physics midterm and I'm feeling so unstable. I think I might've failed and I need this course to graduate and everything in my life depends on this one course right now. I think everyone here knows that feeling.
    3
  25519. u remind of Harry Potter movies, btw it was helpful, short, and easy... cheers!
    3
  25520. Thanks for the wonderful content Math Sorcerer! Could you please give me the name of the book on Galois theory by your argentinian friend? Best wishes!
    3
  25521. It requires immense amount of time to read these books. How to create/manage time to do all these?
    3
  25522. First 😊
    3
  25523. Great! More metric and more topology
    3
  25524. thank you for the inspiration. I'm starting to learn math and your videos give me motivation
    3
  25525. Great advice. I have a maths degree, but most of the maths I've learnt is from books I've read since I left university. Not fearing not understanding things, combined with persistence, is a good way to get into new territory that one is not familiar with.
    3
  25526. currently in the thick of real analysis and reallllly hating it. i’ve never questioned my major more. but next semester i get to take partial diffy qs and another analysis class, so it won’t all be bad. just excited for the day when i never have to use ε again in a proof.
    3
  25527. 5:51 we want that video!!
    3
  25528. Is doing a Masters better? Since you can take the prerequisites and get a higher degree.
    3
  25529. Seeing ppl struggle with stuff u struggled with loool
    3
  25530. Just stop it! You keep putting stuff on my to-do list. This Spherical Trig is too cool! I can't stop thinking about space spheres.
    3
  25531. Sir can u review " CALCULUS THE LIFESAVER" book PLEASE
    3
  25532. Back ground music recommendation: Earth prelude. I started my mathematical journey from high school, by taking some AP courses. It's 2 AM in my country right now and I'm stuck on a graduate level Algebra problem. It's due today.
    3
  25533. I once stopped ✋️ math 🧮 for a second and nearly died! Evidence that math 🧮 is essential for life. 😶
    3
  25534. Hey !! If you are looking for a real challenge in the Brazilian exam, look for the IME or ITA exam. These are the most advanced entrance exams here. Is so a ideai for a video for u. I guess your really like some questions on the exams(both are hard for high school students, or so it should be😂)
    3
  25535. Thank you mate. I really needed this video.
    3
  25536. 😱😱🤪crazy 👍🏽👍🏽👨🏼‍🏫
    3
  25537. Just keep doing your work which you have in hand. That's your duty at present. When life wishes, it will disclose it's purpose.
    3
  25538. Fantastic video!
    3
  25539. Having 1000 great and beautiful books of mathematics is several times better than having a Ferrari lying in your garage ...it’s simple as that
    3
  25540. What's the probability that it could mutate and become deadlier?
    3
  25541.  @TheMathSorcerer  Absolutely!
    3
  25542. Thank you for explaining everything! My professor just goes through his notes and doesn't explain anything
    3
  25543. Sir Newton invented calculus 🙂
    3
  25544. I don’t fear failure, I fear that I will succeed….
    3
  25545. You are the only one person who can motivate me ♥️♥️♥️
    3
  25546. to be very skilled in mathematics you have to solve many math problems with the same perseverance that people who solve crossword puzzles in newspapers or magazines have.
    3
  25547. simple and easy
    3
  25548. I use pen to…..write and………yeah just to write
    3
  25549. I'm working my way through this....
    3
  25550. When I'm from the UK and cannot choose my professors :(
    3
  25551. thanks
    3
  25552. Thank You!
    3
  25553. Congratulations for 500k subscribers 😊😊.
    3
  25554. I’m currently taking Calc 3 and Fundamental mathematics (discrete mathematics) at UIUC and my schedule was very similar but because of COVID things have fallen apart and my grades are slipping... I’m very interested in teaching so I may end up switching major for elementary Ed and finishing mathematics later in life to teach high school... it’s all to difficult sometimes but I know I can do it at the right time
    3
  25555. You recommend dozens of books on the same subject, what have you done now I still have a lot of options
    3
  25556. Engineering is quite hard because of the diversity (Maths + Bit of Physics + Bit of Chemistry + etc... , and also there are physical labs you have to do, which I found the most annoying). Whereas Mathematics has defined sections of material, and then problem sets.
    3
  25557. Thank you bro
    3
  25558. Hi Math Sorcerer , which class does this problem belong to?
    3
  25559. I'm glad I didn't watch this before attempting a math major. I would've abandoned it, but ended up loving it haha. The major was a lot of work and I stayed at the library late almost every night, but I wouldn't say it felt difficult. Difficult was trying to convince myself to keep working on classes I hated. It doesn't feel difficult when it's something you think is fun
    3
  25560. This video is now officially on a fast dial to inspiration
    3
  25561. Great and intuitive.
    3
  25562. The new edition has a co-author who has added his own material to the book.
    3
  25563. That's like starting reading Tolkien starting with The Silmarillion rather than The Hobbit.
    3
  25564. First!
    3
  25565. I'm mathematics honours student , and back in calculus first semester. So hard calculus 😭.
    3
  25566. I like the way you explain
    3
  25567. I know you may not be muslim but I would really like to share these coranic verses with you "And that there is not for man except that (good) for which he strives (39) And that his effort is going to be seen (40)" The star
    3
  25568. This really made me feel confident abt maths. Recently I had a math test and I worked so hard for it but the results were very bad. I thought I can't rlly get out of being bad at maths because I keep practicing and there is no result. I can do everything alone but not during exam. Your videos have been really nice and helped me gain confidence in maths .
    3
  25569. Thank you Guru ❤
    3
  25570. used it about +15yrs ago as a text on my Advanced Calculus I course at CCNY .... amazing book
    3
  25571. What difference is (f-g) (x) and f(x)-g(x)?
    3
  25572. Very motivating. Sometimes i think if its effective to keep learning if i supposedly get slower. But, I love learning!
    3
  25573. Second 😂❤😊
    3
  25574. I always fail at Financial math please make a video on how to understand financial maths and tips and tricks
    3
  25575. That helped me for sure thanks a lot
    3
  25576. Wild, you used to look like that?
    3
  25577. As I heard before , the math inside actuary science is the hardest ever. Apparently it is not that hard to go to the university course but graduate is a different thing, a lot of student just abandon actuary during the years before getting the diploma.
    3
  25578.  @TheMathSorcerer  anyways Sir it's a good video. Im subscribing
    3
  25579. Dear Prof, I'm from India. Can you recommend Math books that I can afford from India please?
    3
  25580. Great work👌🏾 like your consistency 👌🏽👌🏻
    3
  25581. Do you have any idea about how hard is it to get into a good grad school program for an international student? Also, I was wondering what seems to make the cut for the very top grad programs. Is it the publications, recommendations, or sheer luck?
    3
  25582. The Math Sorcerer Many thanks!
    3
  25583. I really enjoy the discussions on classic math books or books that are considered among the best in their field. Thanks for the channel.
    3
  25584. u are hilarious😆😆
    3
  25585. Why make a dedicated video to a problem you can easily do in your head?
    3
  25586. It’s rather dense, but I was wondering if you might be interested in reviewing A. Harry Wheeler’s “First Course in Algebra.”
    3
  25587. Thx alot really cool name too
    3
  25588. Nice Book, Sir . 😊👍 , seems interesting.
    3
  25589. I wish this man was my math teacher at school
    3
  25590. for me self study starts with reading books and asking my elder brother. this is 50 years ago :-) Today self study is internet and youtube. It is always good to have people to discuss with. Today I am study about finite loops (groups without ass-law) and second is 4D space. We can't understand 4D space, but we can thing about how it works. What is spoon, knife, fork, bowl, table, pipe, wheel, car in 4D. what is a painting in 4D what is a script look like?. I just start programing a game: moving yourself and playing with blocks in a 4D word.
    3
  25591. Can you please tell me which is a much better book to start learning math if you have zero knowledge in maths. Is it: 1.Everything you need to ace math in a big fat notebook. OR 2.Everything you need to ace pre algebra and algebra 1 in a big fat notebook. I am confused betweem these two books by the same company. Can you please help me out by saying which is the better book among those which I have mentioned above??
    3
  25592. This is really a clear explanation. New subscriber here. Keep it up.
    3
  25593. The reason I don't know, but your voice gives me peace.
    3
  25594. There is no 'finish' in maths 😄
    3
  25595. Just got this book used on Amazon for $9.57! Yes, nine dollars. Wow. Thanks.
    3
  25596. Okay. 1-SINx ^2 is equal to COSx ^2 making the expression equal to 1/COSx^2 which is equal to SECx ^2 which is equal to 1 + TANx ^2.
    3
  25597. Joining a Minnesota program called UMTYMP (more info on google). I was failing pre-algebra in 7th grade, then had Calc 1 mastered by 9th. I used to not care for math, but in 8th grade I started trying in Algebra and the rest was history. I'm a senior now, and UMTYMP has taught me a multitude of topics as well as more formal mathematical writing and proof techniques, but I know I've barely scratched the surface of what's out there. So, I'd say my greatest accomplishment was discovering my passion for the subject. Math is by far my favorite thing to do nowadays, and I always get this sort of "high" when I tackle difficult problems. I'm still in disbelief that I used to hate it so much. I always love seeing other people be so passionate for it as well, because it's (in my opinion) the foundation of everything, yet isn't appreciated enough by most people. :^) Most people are familiar with math up through trig or Calc 1, but don't know that those are probably less than 1% of all the different topics and fields there are! Like the pinned comment says, I'm no Euler or Ramanujan; rather, I'm proud of the effort I put in and the results I get.
    3
  25598. I just took a quiz yesterday my first complex analysis quiz. I got a 29/30 and I had a question sorta like that. It was like the fourth roots of 8-8root3
    3
  25599. Gracias por tus vídeos, me gustaría que hicieras reviews de libros del gran matemático Vladimir Arnold son una joya, mezclan la belleza matemática con aplicaciones físicas
    3
  25600. I find math to be fascinating. I wonder if there is a limit to its vastness.
    3
  25601. D beshttttt!!!
    3
  25602. It's funny how i started to actually understand calculus when i was taught to use it in physics, before that it was just plugging in values and formulas.
    3
  25603. For calculus I love to prefer Thomas calculus it has almost everything to study and tons of problem to solve from
    3
  25604. Great advise!! Thank you
    3
  25605. How significant is your ability, that is, any student's ability to be able to graph trigonometry functions by hand? Or, as in algebra, is it more important to know what the maximum, minimum points are, and where the graph crosses the x-axis and the y-axis at?
    3
  25606. Wowww...
    3
  25607. Why did I get a noti 1 hour late
    3
  25608. THANK YOUUU
    3
  25609. What do you do to keep yourself motivated to make educational videos? I also wanna make a educational channel! I think that entertainment is valued more over educational content on YouTube... And thus less views sadly... What do you think? Thanks!
    3
  25610. What level of mathematics would this be considered? I am assuming Calculus II or higher?
    3
  25611. I just want to learn what’s going to make me rich as fast humanly possible
    3
  25612. Damn it I love this channel. I’ve been doing this without really thinking about it for a long time now I realize how instrumental it’s been in the mathematical knowledge I have today. This technique really sets you up to learn the topics you expose yourself later on. Especially the not using a pen+paper part. The whole point is that it doesn’t become work or a study session. Rather, you’re just taking it in, almost as a primer. I’m gonna make it a timed daily habit now (before I’d do it in an unregulated way 😅). Functional analysis is what’s on the menu today
    3
  25613. Hello Math Sorcerer, I really enjoy your videos, I watch them all the time when I'm on study breaks, I really recommend you make a podcast because I would be a loyal listener to it. I am currently doing a bachelor's degree in Physics and Computer Science, so your channel is REALLY insightful to me, you also motivate me every day to study more math and improve at it. I was an average student back in my home country, and since I have escaped war I've been determined to change the old me and learn and grow. thank you for your videos and I'm sure I will ace my next math test!
    3
  25614. Saved my life Thanks sir
    3
  25615. First
    3
  25616. Hi! I'm taking an introductory Abstract Algebra class right now, and I was wondering if you have any suggestions for textbooks that might help me grasp the core/basic concepts better, especially for group theory. We use Dummit and Foote but I find it very dense and hard to read. Thank you!!
    3
  25617. your advises help me a lot 😍
    3
  25618. Me not. I love loops (quasigroups with an identity element)
    3
  25619. Sorcerer - how do I write you like he did. I would love your help & support on my math journey and I think its a relevant one for your audience.
    3
  25620. I probably have as many books as you, with a high concentration in math, physics, chemistry, and neurosciences. I have purchased these books extremely selectively over the course of my life, not as a collector but as a useful library that I consult at any time I become involved in or have a question on a specific topic or get an intense "brain itch" that I need to scratch. I been doing this throughout my life and I still have books that I have purchased since the 1950's and very seldom have sold or disposed of any. The older books constitute the comprehensive summation of a person's ideas on a subject that he/she has mastered and are conceptually from a different world and mindset than most books of today that are a written on the basis of "publish or perish" I have these books on my shelves not as a show of my learning, but as a testament to my ignorance since if I knew the material they contained I would have no need to have the book.
    3
  25621. mostly i have heard about when i was preparing for IIT
    3
  25622. thank you so much!
    3
  25623. You are out of this world Sir! I really aprecciate lessons like this! Cheers man!
    3
  25624. Can you make a video share with us a complete roadmap to study physics from scratch by text books.
    3
  25625. thank you!
    3
  25626. best tutor .....
    3
  25627. I got 5 weeks total and I’m making editing tutorials. And, some uplifting vlogs for my students.
    3
  25628. 21 is a far better age to attend college than 18, anyway. You've (hopefully) got some maturity from those years, and you (probably) have a better idea of what you want from your life. Go forth and conquer.
    3
  25629. Can I ask you to make a table for each math subject and how long does it take to learn and what should we learn first if math is not our subject.
    3
  25630. Hello, I need you help sir, my problem is that: I am studying calculus-based physics (general physics) and its prerequisite is just physics 1 and 2, but when I opened the lesson of Gauss's law I found closed integral (on close surface). So my question is do I need to study multivarible calculus and linear algebra?! I found in all calculus-based physics books that the prerequisites are just calculus 1 and 2 (like halliday and Serway and Young freedman) however they use closed integrals here and there.
    3
  25631. There is no FINISH line in mathematics/science
    3
  25632.  @TheMathSorcerer  Could you also make a video about one of your typical day? For example wake up at 8 am, then breakfast, then reading XXX book, I am really intereted how one day of mathmatician looks like, thank you!
    3
  25633. Hey math sorcerer, I went to the your links for udemy, and was interested in buying some courses. Specifically those towards programming that had some projects, then I ended up buying courses for a few foreign languages(maybe I should learn ancient languages too for math? :)), how to make game music, then I had to buy a couple of your courses to support you even though for 3 days there is like a 90% discount for all types of subjects including yours so I got a deal for $10 each for like 150 lectures, man glad I caught it at the right time, but do they always give discounts regularly? I got your advanced calculus and real analysis course and abstract algebra cause those are the ones I haven't learnt yet, there's so number theory that I'm interested in, but I found one, I can't wait to see your lectures, I love the in-depth explanations of some of the math series you derived a formula from. I'm going to complement the math lectures with the textbooks I bought for the classes I was suppose to take, and follow along with some practice problems, can't wait to see what I learn.
    3
  25634. All of your video are greats! I'm physicist and you helped me a lot to understand all these maths in simple words!thank you!
    3
  25635. I hope the math police don't knock at your door.
    3
  25636. Engineering Statics!
    3
  25637. I think medicine is the hardest major. Engineering is hard because of all the physics involved. The maths used in engineering is fairly easy. I only had to take Physics 1 as a maths major. More importantly, engineering students have a project to work on in almost every course and have a hell of assignments to work on and deadlines to meet. That's what makes it harder than maths. As a maths major I was always relaxed. The assignments weren't hard, and many courses didn't even have assignments - only quizzes, a midterm exam and a final exam.
    3
  25638. I have conversed with multiple medicine students who have stated that most of what they do is content based and that if you read you'll be fine. Engineering however especially electrical and electronic has a lot of math involved, the projects are pulled up and all that math is integrated into the various engineering concepts so it's also quite content heavy.
    3
  25639. I use Gregg shorthand always, which helps me speed up studies by tenfold (roughly). In my study diary, I write mixture of shorthand and longhand, use different colours of pens. I use longhand to emphasise some words and also draw coloured stars to indicate worthwhile revisiting. When I browse through hundreds of pages in a minute, my eyes are drawn to keywords in longhand, coloured symbols, etc. When you do a lot of handwriting in everyday life, it is worth learning Gregg or Pitman shorthand. For an absolute beginner, you can mix longhand and shorthand, while getting used to the sight of simple shorthand words & phrases such as "the," to the," and," for," "for all," and so on. Times on, you will increase your shorthand vocabulary and use Gregg or Pitman to write your dissertations/theses. You can find Gregg/Pitman shorthand. Prefer Gregg shorthand if your longhand handwriting is cursive. Pitman, if you are not neat at handwriting. Gregg is my preferred choice. You can find shorthand books at Open Library, a great website where you find many gems for online reading and digital borrowing. Lots of academic books there. There are many versions of Gregg/Pitman shorthand. In Gregg, I recommend either Simplified version or Diamond Jubilee version. Join Facebook groups for shorthand writing.
    3
  25640. Great video! Love the way you explain these topics!
    3
  25641. I personally enjoyed Barnard and Child a lot more, but H&K is still a fun basic problem book.
    3
  25642. So guilty of this😢😢😢 Fear has it's place but to achieve anything beyond your comfort zone it just cripples you. Great video 👍
    3
  25643. This book is VASTLY overrated. I would take any average schmo textbook over it. It is pedantic, focuses on trivial matters, and lacks practical examples from real life. A true classic is by Richard Courant. (Differential and Integral Calculus, 2 volumes)
    3
  25644. Agreed! Some times we must hang out with a concept before we get it. God forbid we think our getting a concept enables us to explain it clearly to others. Math learning seems to work differently for different people. Some get it earlier than others; others never get it because understanding seems hopeless.  How someone who didn't get Math could understand it, then teach it to others later seems suspect to say the least. Saying he taught Math is one thing. Whether his students got it is quite another. Whether the same Math teacher I had three different years 'understood' Math is questionable. His Math degree was from Harvard [Class of 1932]--no mean school and with no mean Math department either.  Mr Klein explained concepts but always badly and for most of us, in a rush. They seemed one big bag of different unrelated recipes, as in, if you see this situation, follow these steps; if you see that situation, follow those steps and so on. Two or three of our home room's 36 boys got it at once. We got monthly report cards. The rest of us would have flunked had Mr Klein not monthly raised us to the minimal passing mark. Raising so many of us likely kept Mr Klein his Math teacher job too. Save the two or three boys who at once got Mr Klein's meaning, his teaching approach for the rest of us was just to show how much he knew. He knew a lot more than we did. That is the 1st condition for being an able teacher. The 2d is the teacher and students must both know something, by which he conveys to students what they do not know. Were the other 33 boys really so dim? Unlikely, because we had to pass a tough entrance exam to enter the school. Mr Klein never tried finding some concept we ALL knew by which to convey what previously only he grasped. A likelier explanation is 33 of us came to his class lacking certain conceptual frameworks that the other three had somehow got by hook or crook. Maybe they got it from playing with countable things--buttons, marbles, checkers. Maybe they got it from a Math adept parent who slowly and gradually introduced math concepts. Mr Klein's explanations were never slow or gradual for most of us and he seemed never the wiser. His notion was certain people just get Math and others do not. . I was totally at sea in Math until Geometry. All Math in Europe was Geometry until Arab numerals' introduction which occurred gradually starting around 1,000 AD. I was fully at home with Geometry, and with little effort got perfect marks, when many other boys could not make heads or tails of it. How did that happen?  The only explanation I can venture is as a child I drew a lot, including geometric shapes. That habit quickly revealed relationships among lines and shapes. Understanding it all seemed instinctive, but was not. It did not come thru the air I breathed nor from inherited genes. Mathematics has structure. Teaching it as a series of discrete recipes is dumb, but that is too often how Math is taught. What seems the best 1st concept?  How about introducing the number line, starting with zero and going right, showing how after nine in the units slot, the next number in that slot is zero for each new 10. From there, the next logical step seems explaining that adding is just counting up starting with the next higher number and subtracting is just counting back, starting with the number to be taken away from. This prevents adding only numbers added just once and subtracting each number subtracted just once. Then counting up by even increments greater than one shows multiplication. Counting back by even increments greater than one, with any remainder shows division. After that put negative numbers on the number line. To nail multiplication and division down one can use small, paper mouth-wash cups. Five empty cups show 5 X 0 = 0. Five cups containing 1 raisin or coffee bean each show 5 X 1 = 5. Dividing a pile of raisins or beans into a certain number of cups, shows how many times that number of cups goes into the original amount, with anything left over. Also think of sharing X items among Y children or dealing out cards to play with. From there one can explain even and odd numbers, then how addition and multiplication never depend on which amount one starts with first, but subtraction and division do. Adding negative numbers early to the number line eases explaining the result when a bigger number is taken from a smaller one. From there powers and roots become easy concepts to explain. Explaining logarithms cannot be far away, Explaining addition, subtraction, multiplication, and division tables from 0 to five in 1st Grade, is easily possible. With so many available tricks and explanations to get the right result each time, twelve times tables can be learnt by end of 2nd Grade, But I suspect teachers' colleges show how to explain Math just as a bunch of discrete recipes. Is that how Harvard taught Mr Klein or was he just dredging up what he learned as a youngster, yet somehow grasped anyway? Something to note is how quickly a product grows when a multiplicand is multiplied by ever bigger multipliers. Also worth knowing is how when a divisor grows ever so big, the quotient grows ever so small.  As far as I know, nobody uses a structural approach by which each new as yet not understood Math concept becomes understood only after each prior step is firmly conveyed from teacher to his victims.
    3
  25645. Doing well in Physics requires both a mastery of a variety of mathematical methods (I trust that real Mathematicians already proved that they are valid!) AND understanding the application of Physical Principles to properly formulate a mathematical problem. Learn how to solve Physics Problems using Physical Principles is essential to mastering the topic. There's much more to it than "just doing the math". Even something as everyday as the simple pendulum leads one into Elliptic Integrals, if one doesn't make the small-angle approximation.
    3
  25646. Here is another one who does not beg to subscribe. And I just did add mine.
    3
  25647.  @TheMathSorcerer  During both Undergrad & Grad School, my classmates & I would organize "Problem Set Parties" where we would discuss problems before completing our individual assignments. We would argue about the Physics and/or Mathematics to arrive at a general approach before writing up our own solutions.
    3
  25648. For me has to be Euler
    3
  25649. Yeah..........., please place your eyes 👀 back into their freakin sockets, Mr. Wizard, creeping my ass outta here, IMO, LOL.....!!!!!!!!!!
    3
  25650. Thank you❤!
    3
  25651. Great videos!
    3
  25652. Thank you! This just saved my life!
    3
  25653. Thank you, your passion for the book is contagious! 😁
    3
  25654. I don't know what demon possessed you to do this to yourself Philippe but I wish you the best. Rip.
    3
  25655. Whenever I pick a book I only stay with it one week. Then I change the book to another one. And the process start again. The time passed and I still have this habit and I still have not achieved what I want in math Any help!
    3
  25656. Hello I want a book for the most basic level in math, my math is miserable
    3
  25657. I'm currently in my first semester of Graduate Mathematics (MS Math) and we have this book as a reference for our core course on Measure Theory. As always, thank you for the great review!!
    3
  25658. Imagine you spent hours, possibly days, on a problem and you know you're so close to succeeding. But you made a mistake somewhere and you cannot find where, or you wrote almost the entire proof but you're stuck right at the end. One cannot describe the relief when you read the answer and you finally, finally understand your mistake. Not everyone has a teacher to help him. But everyone has the right to know the answer.
    3
  25659. You have saved my life
    3
  25660. That's name is Second order critical point.
    3
  25661. Well this was fun
    3
  25662. I wanna give up, "no don't go the easy way" why? "because you won't become something big" okay, that's fine with me. If I don't like it I don't like it, why should I do something I hate. No.
    3
  25663. I thought there is a chocolate 🍫 on the front page
    3
  25664. No sé mucho inglés pero me has ayudado más que los videos en español.
    3
  25665. great review book also refresh
    3
  25666. I was skeptical about this.... you solve my problem ........ummmmmahh😘😘😘
    3
  25667. I absolutely love this version of Bezos!
    3
  25668. The best book about calculus is Piskunov"s one, Differential and Integral Calculus by N. Piskunov. End of shit.
    3
  25669.  @TheMathSorcerer  but en si, explica bien, me ayudó con la tarea, profe si usted esta leyendo esto, y si sabe algo de español 😀😅 es un buen .maestro, me explicó bien, me ayudó muchisimo con una tarea 😎
    3
  25670. Nice vid as always thanks man
    3
  25671. 2:16 are you talking about leibniz rule?
    3
  25672. Unusual to mind a math professor who doubles as a motivation speaker. Off the charts per norm.
    3
  25673. How about vector analysis best books, quaternions and octonions?
    3
  25674. Cool
    3
  25675. I always hate it when I'm watching some cool astronomy videos and they pull up some (for me at least) difficult equations that I don't understand. Going to try this out!
    3
  25676. I wrote a thesis when i was going masters in Mathematics
    3
  25677. Thank you for this!
    3
  25678. I dont think it would be a bad idea if Jezz Bezos teaches linear Optimization or linear programming. After all, that's what Amazon is literally all about if you think about it lol
    3
  25679. As geophysics, thanks for the book
    3
  25680. This helped me a lot. Thank you for this!
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  25681. Sir, you earned my sub.
    3
  25682. I don't think are harder in other countries in fact probably is the opposite but I'm pretty sure ppl that u meet from other countries were kind of the best of their countries and that's why you got that perspective, best regards!
    3
  25683. Any suggestions on getting into grad school? Looking to get my masters in statistics after I graduate
    3
  25684. You feel like a close friend, not a youtuber :)
    3
  25685. i am wondering if you did 4.2 ?
    3
  25686. Tysm
    3
  25687. I am trying to become great in web design. Thanks for the video.Really useful and value packed from start to finish.
    3
  25688. Sir please tell bestest high school maths book 🙏🏼🙏🏼🙏🏼
    3
  25689. i am a very anxious person in general whenever things go wrong i start to unconsciously insult myself and get depressed and with math thats like 20 times more prevalent. whenever i get to a roadblock i have to try to keep myself together so i dont give up and start crying, your videos really help me ease some of that stress and control myself better. Thank you Mr Math sorcerer
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  25690. LOL, there's got to be some very deliberate flippancy going on over here... correlation isn't causation, something something, and back in 1986 my Dad used yellow lined paper for all his physics equation calc's before running them through an IBM processor and he was very smart, so I make sure I always have a stack handy. Plain white paper reminds me of my grandmothers overstuffed drawer where she would save these precious sheets for her grandkids to make illustrated stories on. Any math occurrence on those sheets was purely coincidental.
    3
  25691.  @TheMathSorcerer  I think you should, maybe you can save more lost souls trying to pass a Ring Theory exam. Great work on the proof, it was done so well that I didn't even need to rewrite anything, it all makes sense. You should make some more, hell I'll even subscribe to you.
    3
  25692. Your videos are very helpful, thanks a lot for this! 😊 I want to ask question . I belongs to India and my one year college fee is 37 dollars. Springer books are so costly that I can't afford to buy Springer books and most standard text in mathematics are published by Springer. Is there any way that I can buy springer's (used and paperback ) books around 20 dollars ? Please reply !
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  25693. tomorrow i have exam in it
    3
  25694. Anyone who bothers getting a formal education is clearly elitist! We should all revert to being a bunch of screeching monkeys fighting over bananas. I am joking of course. My background is in Math. I think there are some problems with Math education in the USA, at all levels, but I shall mostly address college and graduate Math. My undergraduate and graduate classes all came down to "racing through textbooks", as I recall. The professor would basically plow through one chapter per week, no matter what, and the students tried to keep up. Of course the student is taking several classes at once, all doing this, and the resulting "learning" seems weak at best. Also, there is little continuity between different classes; at least this is what I found back in the 1990's. You study a little of this subject in one class, a bit of that subject in another class, and you end up trying to memorize lots of theorems from different subjects, with a dim understanding of how it all fits together. I always found that my best learning experience occurred when I took my own time to work through a textbook, outside of any class, at a pace that was comfortable for me. I suppose this would be an impractical way to try to teach a large number of students; although apparently this is basically how education works at Oxford or Cambridge, in England. Another problem that I found with Math education in colleges in the USA, was a very light treatment of Logic and Set Theory, even though these turn out to be critically important in building up the ideas of Math. In my Math classes, only the most elementary aspects of Logic and Set Theory were covered, generally in a quick introduction. We would learn about truth-tables and very simple ideas in Logic, like "proof by contradiction". Similarly we learned only the most basic aspects of set theory: membership, subsets, unions, intersections, etc. But never anything like "Godel's Incompleteness Theorem". Nothing that would allow me to understand why the "Axiom of Choice" is independent of the other axioms of Set Theory. I never learned that several different theories of Logic and Set Theory have been developed. In all my Math classes, the "Axiom of Choice" was always assumed to be true. Yet we know that it is just as valid to assume the "Axiom of Choice" is not true, which raises questions about how everything I learned changes based on what axioms are assumed. I suppose that "practical mathematicians", such as engineers, really do not need to worry about such questions. However, if you are more interested in "pure mathematics", then all of these different Logics and Set Theories become quite relevant, and and at some point you will regret not having learned about these things, when trying to comprehend the deeper concepts of Pure Mathematics.
    3
  25695. This colection of books is a true classic!!
    3
  25696. I'm taking functional analysis this semester and we're using the Kreyszig book. Nice to see it here! I get pretty much all my books as questionably legal PDFs. I've only actually bought four math books, Stewart's Calculus, a different Stewart's Complex Analysis, and Fraleigh's Linear Algebra along with its solutions manual. I left the last two in a cardboard box outside. They got wet and moldy so I threw them out )-: I throw out all my notes and homework too. I keep them for a while and then realize that I never reference them. I've only kept a C++ notebook that I have referenced and an algorithm analysis/data structures notebook that seems useful to keep around. I would've liked to keep all my notes/homework but I don't know where I would keep them. It'd be nice to build up a little library to have some physical reference objects. PDFs have the advantage that you can take thousands of them anywhere but looking through them can be really fiddly.
    3
  25697. so glad I found these lessons, very easy to understand.
    3
  25698. If you where to throw those math books a thousand years in the past would it affect the course of humanity ?
    3
  25699. I love the covers of each book, it's very direct and straight to the point. This dude doesn't mess around when it comes to Mathematics.
    3
  25700. Thanks sir
    3
  25701. Ahh! There was a time when arrays and pointers spooked me that was before I did dynamic programming and tries. The horror! The horror!
    3
  25702. I’m in engineering and I have some of those books, but most of them are later editions
    3
  25703. Just ordered the Discrete math books! Going to try and do some learning before calc 2 in winter!
    3
  25704. Thanks!!
    3
  25705. Hi! I’m a physics student and i want to learn some Math that i know i’m going to need in the future. This “math” i’m talking about is Differential geometry ( for GR) and abstract algebra (for particle physics). The problem is, i don’t know how to study this subjects because i need some knowledge of other subjects of math (Like topology) What books do you recommend me to be able to learn (in a good level) differential goemetry and abstract algebra? Thanks!
    3
  25706. Thank you so much! Very helpful.
    3
  25707. Kudos for replying to every comment! 12:28 AM (yep!) 10/12/2020
    3
  25708. You're cool dude❤❤
    3
  25709. I have been stuck on this for an hour. You have no idea how helpful this was!!!
    3
  25710. You look exactly like how a math nerd looks like in my head.
    3
  25711. You cannot organize a coherent system around drawing lines. When drawing lines you are in effect betting that the price goes wherever you think it's going because it did so in the past. While that cannot be proven false, it's not reliable trading strategy. Thorp, MacLean and Ziemba is better. Do a video about Kelly Criterion and Lasse Heje Pedersen's Efficiently Inefficient.
    3
  25712. i am going to be next einstein
    3
  25713. Sir, I have some concerns regarding my math learning... I recently find it hard to grasp mathematics. Actually, around a month ago, I was very good at math. I found math a very very easy subject, and I was quite good at it. I was sick for some time (high fever and headache). Luckily that didn't last long, however after that I started struggling at mathematics. I can barely understand anything and this stresses me out. I keep doubting my fundamentals, I started regretting the fact that I did not concentrate in class 6, 7 and 8. I really am not understand what's wrong with me. Could you please help me?
    3
  25714. thanq you so much you help me a lot
    3
  25715. The stamp is actually a university library stamp. It reads: The Computer Science Department at Sichuan University ☆ Book and Journal Room. Can't imagine what makes such a great book traveling half a globe into your hand.
    3
  25716. I don’t like to have too many things around me.
    3
  25717. So what's with the coasters? 😎🖖
    3
  25718. Sire, i have no hard goals, dreams, destiny, targets. nor even try. I just accept, go with the flow and enjoy the moment
    3
  25719. Absolute truth. One thing I learned in engineering is that it is infinitely more beneficial to derive where simple equations come from. The TdS relations in Thero, for example, describe so much of the natural world and come directly from Newton's pivotal 2nd law; they're worth deriving by hand and reflecting on in my opinion, mainly because of the sheer volume of times I've been able to abuse them to approximate specific boundary conditions and ball-park what my answers should be.
    3
  25720. What if you have 1/ sqroot of n^2+n??
    3
  25721. Better than Dan saracino ?
    3
  25722. Once again an awesome video. What are the prerequisites needed for this book?
    3
  25723.  @TheMathSorcerer  I worked through a book called "Painless Algebra" that I got for a few dollars at a bargain store and jumped right into Blitzer's "College Algebra and Trig." 4th edition and it seems like a very smooth transition. I'm working through every example problem and all the odd work problem's. I attempt the samples before looking over the solution and then most of the time I have to work back over it using the solution to find what I did wrong and then the correct process sticks in my head. Its just the way my brain works.
    3
  25724. The Larson book was impossible to follow about half the time due to the sheer number of examples with 500 skipped steps.
    3
  25725. Theoretical physics is a beautiful subject! In physics, we mostly utilize group theory (The standard model, crystal structure, etc), the calculus of variations (principle of least action, Lagrange's and Euler's equations), PDEs (Diffusion equation, wave equation, Laplace's equation, Schroedinger's equation, etc), complex analysis (conformal mappings, applications in quantum mechanics, quantum field theory). In physics, it's easy to get caught up in mathematical details and lose sight of the physical picture. It is good to keep the mathematics in the back of one's mind while being able to think about the physical processes. In theory, any concept in physics should be reducible to a form that does not require complicated mathematical equations. That said, there is some potential for mathematical ideas to intrude into branches of physics. For example, there is current research being done on formulating quantum field theory in terms of categories. John Baez is also working on some topological interpretations of Feynman diagrams.
    3
  25726. INEAR LGEBRA
    3
  25727. Falta ese video en español ❤
    3
  25728. Could you (or have you) do a video on how to read a math book? It’s a study skill which is usually not taught to students. What do you think about the booking “Winning at Math” by Dr. Paul Nolting? Have you done a review?
    3
  25729. Thanks so much for this Math Sorcerer 😁😁😊
    3
  25730. An hour long video! This is the greatest background video to my poetry analysis essay writing
    3
  25731. How have I never seen the resemblance before?
    3
  25732. Oh, good, didn't see the "^+" lol :)
    3
  25733. Thank you :) And suppose you made this mistake, we could just call it a homomorphism of monoids and we would be fine
    3
  25734. Sir , your words touch deep, i have regained zeal to fight for the top. Someone once said aim for the stars and maybe you'll reach the sky. thank you!!
    3
  25735. Hey man! Why this kind of proof doesn't work with other numbers, for instance 3/4 or 1/3? Is it because you wouldn't get a numerator without any ns? For example I did it for 3/4 and i found (17-n) / (12epsilon) < n so I understand it is kind of useles...
    3
  25736. Back in the 1960s in small rural Kansas high schools like mine there was no precalculus class or any AP math classes for that matter. However, I had good teachers for Algebra 1 (freshman), geometry (sophmore), Algebra 2 (junior), and Trigonometry (senior). I transitioned to Calculus I with no issues.
    3
  25737. I have a quiz on uniform continuity tomorrow and I'm still not confident on the concept. I'm gonna just practice problems and memorize definitions from the text and hope for the best. wish me luck
    3
  25738. the content of the video doesn't match the title and description (i assume this is a mistake)
    3
  25739. I'm surprised you didn't mention MIT opencourseware. I think students benefit greatly from a course structure, especially with lectures that accompany a (potentially intimidating) book. Further, I think the main thing to address when studying something on your own, especially mathematics, is how are you going to stick with it? How are you going to stay with the material when it starts getting difficult; this is one of the advantages of being at a university. University also offers the chance for feedback and peers. Students who are just being exposed to proofs for the first time often need a lot of feedback. Nice videos, keep up the good work. I hope you don't mind the offering of my opinion on the subject.
    3
  25740. I notice that you are the spontaneous type of guy who creates himself in any new way possible each day, while blindly exploring the path forward. I am quite the opposite of you. I am a detailed organizer and planner. I have fully defined my path for the future with almost no variation in my path. So I spent years in figuring out this path, but now I have to just execute it. It might be a boring journey of knowing what you become, but at least the path has become very simple and clear to me, which is more important.
    3
  25741. Thank you for spending the time to create and share this content 🤙🏾
    3
  25742. wow great thanks
    3
  25743. It's also ok to take a forced semester break lol
    3
  25744. 😭😭😭 Nooooooo you Don't have section 6.3 or 6.4 😭😭😭
    3
  25745. Thank you for this!
    3
  25746. "0 reasons why" ;)
    3
  25747. How much time did you allot for this test? I feel like crying just looking at the test. 🥺
    3
  25748. Keep up math sorcerer
    3
  25749. Thank you
    3
  25750. lol....nice
    3
  25751. Thanks man, You saved me from setting my Engineering electromagnetics textbook on fire.
    3
  25752. Ramanujan and newton is great mathematician.
    3
  25753. The proofs sentence hit hard lol my midterm is this Monday
    3
  25754. Excellent
    3
  25755. For me inner peace is devoting whole day for tough physics problem and being able to solve them and learning something unexpected from them. Love your videos btw
    3
  25756. Lmao "I'm just gonna give it a whif" Love ya Math Sorcerer
    3
  25757. Nice video sir 🙏🏻🙏🏻🙏🏻🙏🏻🙏🏻
    3
  25758. Anything from Schaums books is valuable, along with solutions edition.
    3
  25759. The sleeping part is so accurate, I remember twice falling asleep throughout class
    3
  25760. Thanksss
    3
  25761. I see other induction inequality videos that show a different method. I find this method much more comprehensive. Would it work for all induction inequality proofs?
    3
  25762. this video is really good, no doubt, but can you pls make one for the niche community of people that need help in the higher levels of solving problems in limits (this stuff u covered in the video was way too easy for me and many others who are preparing for college entrances in India...)
    3
  25763. Thank you!!!! ❤
    3
  25764. me doing flipped classroom calc 2 where every video lesson is taught by a different prof....
    3
  25765. "My" algebra book is Birkhoff & MacLane. The way category theory is presented is fenomenal! (IMHO)
    3
  25766. Wow all those books sound interesting but I will never understand them cuz I'm bad at math
    3
  25767. 4th comment. I don't think this was necessary to say. Good advice man.
    3
  25768. Its always a gamble if you buy used books online. Sometimes they are marked as ex-library and usually it says withdrawn somewhere.. Sometimes they aren't and you may have to assume they've been stolen. I once contacted a library to ask if this book i just got was stolen or not, they never replired so i will never know. Would you return the book in case its been stolen and the library may wants it back?
    3
  25769. Isn't "Pi" considered an irrational number? Would that make your initial proposition invalid?
    3
  25770. Thanks sir .. i was finding difficult is proving a monotonic sequence
    3
  25771. I can relax before every test I take . But the results r well ....
    3
  25772. Sir , please do try challenges and thrill of pre college mathematics ,its a great book for students preparing for maths exams. I always look forward to your videos and reviews . Love from India
    3
  25773. your channel blew up like an exponential function🤯😅🤩
    3
  25774. Older guy in class? Try being a 65 yo grad student! I recently completed a 2nd MS in data science. I was the oldest guy in class by over a decade. Also, I am a strong advocate of never leaving school. Keep going; keep learning. Plus being around young people really does keep you young.
    3
  25775. You need to play some lofi hiphop in the background :p
    3
  25776. In college and expressions are hard..or confusing ..
    3
  25777. "It's a conceptual move" is gonna be my new excuse for messing up something that's apparently suppose to be really simple.
    3
  25778. Can you gimme some for me?? 😅😢
    3
  25779. These kinds of problems is why I study more algebra in calculus 3 then calculus 3
    3
  25780. This video was really helpful understanding this topic. I’m burning through my discreet mathematics book doing self and study and sometimes. I wonder when and why a topic like this is important to know. In essence I wish to know some of it applications to real problems. Cheers.
    3
  25781. You are awesome man. Deserved that sub
    3
  25782. I believe Mir is pronounced "meer" by Russians.
    3
  25783. Nice
    3
  25784. You are very very much good for students l ❤ you from 🇮🇳India
    3
  25785. You are a Math Maniac!
    3
  25786. Consider, making videos like ‘What is Analysis?’, or Some thoughts about a mathematical field of study, like your general introductory thoughts on the subject and advice to beginner. Your great devotion to mathematics and its communication is admirable, “Life is only good for two things, discovering mathematics and teaching it” - Siméon-Denis Poisson
    3
  25787. Am I the only one who doesn't have a problem here?
    3
  25788. Here
    3
  25789. Great video. Good insights into Seneca’s book, translating the message to modern day scenarios. Gonna go do Math now :)
    3
  25790. I enjoyed watched video, Thank you❤️
    3
  25791. Well the curriculum is way more advanced. You immediately start with rudin level analysis the first day and then Hofman and Kunze level linear algebra the second day. Also pretty good set theory class where you know ZFC by the end of it and understand some difficult proofs like equivalnce of AC, Zorns lemma and well order principle. Thats just the first year. Later on you might also have some graduate level material in some classes. Like you have an algebra class as an elective in the third year which covers category theory, module theory and galois theory in grad level detail(i.e. Lang/Hungerford category general approach). Im not saying its better, but its definitely more difficult, which definitely suits some of us, but many people could be wonderful mathematicians but had to switch majors, because the highschool didnt prepare them for Rudin level analysis straight up.
    3
  25792. Equally important. Why? All math subjects follow the same structure. Axioms definitions, theorems, corollaries, lemmas. There are only 4 main ways (can be a combination) to conduct a proof in any math subject: 1. direct proof (p --> q) or by contrapositive (~q --> ~p), 2. By contradiction (assume hypothesis true and conclusion false, and find a contradiction), 3. By induction (if the theorem or problem have statement with math entity indexed by an accountable set), and 4. By counterexample (the converse of a conditional is not always true. A necessary condition, but not sufficient). The structure and the proof technique remain the same in math, only the subject changes. If you consider the math subject as a variable (like any variable in math equation/inequality), then you can see that all math subjects are equally important. And you become a polymath. Statistics is a bit different, like half math and half physics: accuracy is not required, acceptance of hypothesis depends on confidence level or Company's appetite.
    3
  25793. What helped me during my math major (especially during my abstract algebra and abstract geometry courses) was solving problems using computer code like Sage Math or R studio. It helped me translate and solve proofs with a deeper understanding. That and it also strengthened my programming skills. I never understood how powerful isomorphisms were until I did this also haha
    3
  25794. If you want to be good at math then you must first grow your hair like his.
    3
  25795. Many university libraries rebind paperbacks as hardcovers. If you look closely the front cover of the paperback was glued to the rebound book.
    3
  25796. Are you familiar with a first course in topology by Robert Conover . Is it a good book to learn from
    3
  25797. Has solutions
    3
  25798. Excellent books 👍👍
    3
  25799. We're becoming a Math family!
    3
  25800. I do believe consistency is very important in mathematics Personally the way I do it is not necessarily to work on problems within a given time frame but rather to spend every spare moment I get to think about mathematical problems throughout the day everyday and random concepts and breaking it down into simple understandable pieces I do know dis way is not healthy and it's not recommended for everyone but it's fun for me mostly (besides those times when u can't get sleep because u couldnt reach a satisfactory resolution to something.) The main thing is not to do a problem and just get it correct but to take your time and step back to appreciate what it is that it took to get to that resolution and why those steps resulted in a solution and understanding it to the best of your ability. Even if you're not able to fully understand something on the first try, keep pushing at it and look at it from different perspectives until u can understand it. That's my personal approach to becoming more successful at math. Hopefully this can inspire others to learn and appreciate the beauty of mathematics just as I have.
    3
  25801. Sir, I don't know how to express my gratitude to you! You are awesome! Thank you for making my life WAY BETTER!!!
    3
  25802. Thank you for making these videos. I am not good at math but I like it. Thank you for giving people like me some hope to keep at it and self learn.
    3
  25803. I think you are the next Isaac Newton 😄😄😄
    3
  25804. I love this channel. P.S you've grown so much this year!
    3
  25805. Um .. I lile ur videos a lot as it's based on core math and I like math the most, but sorry to say this kinda question are like high school Qs in Korea and I got the answer just by glancing ... Y'know asian genes . But yea ur content is really appreciable. ❤️❤️
    3
  25806. In France we always use Taylor series with remainder in little o notation to solve indeterminate limits. The hôpital rule is frowned upon.
    3
  25807. you are amazing thank you
    3
  25808. This went from a Math advice video to a motivational video
    3
  25809. Holy shit, that's neat.
    3
  25810. Am frist
    3
  25811. I scratched out my process once, since erasing is worse for scanning the test and my professor thought I left it in blanket. Without noticing that in that page I wrote "redone in another page" I lost a tone of points for being sloppy. TRY to keep meth clean.
    3
  25812. Let me pushback and disagree. Doing problems is sufficient for getting better at math but not a necessary condition. For example, no matter how many functions one learns to differentiate unless one can cite specific examples of functions that cannot be differentiated and explain why, knowing the mechanics i.e. computational skill based is no substitute of understanding.
    3
  25813. Thank you so much sir. these are awkward to solve
    3
  25814. @ Math Sorceror. I been watching for videos for a while now. I am really intrested in learning maths from scratch. I don't know where to start. I just juggle around doing Calc sometimes and Linear Algebra sometimes. Can you suggest me where to start or something, I ll be forever grateful )
    3
  25815. First
    3
  25816. Seeing Ping Zhang gave me flashbacks to his lectures I was enrolled in for Intro Proofs :0
    3
  25817. Damn that looks sus
    3
  25818. Another FANTASTIC presentation by the Math Sorcerer ... Thank you for the considerable effort you put into these videos!
    3
  25819. Why it looks like that scene in lotr with elrond, when frodo is dreaming lol
    3
  25820. Hey guys, I need a talk with this beautiful fanbase (not about math, but it’s important). I had a conversation with my dad about how I was going to take on this year for academic earlier today and I mentioned on how I was going to drop my 2 AP classes to maintain a 3.9 GPA because I didn’t think I could do it due to me already getting 2 b minuses for the near first semester, but he opposed: he said that I’ll need to take these classes and that I’ll need to attend in school (we have 5 cases) as opposed to online, which was my trajectory for the rest of the year because AP teachers are just requesting videos over here as learning, not teaching. He thinks that me dropping these 2 AP classes is a sign of giving up, even though I’ve been up all night every day for these past weeks dedicated on these classes. He’s wanting me to take these classes and attend in-school, and I can’t do anything about it. Am I giving up? I swear I’m trying my hardest
    3
  25821. The reason you can't recover if you try to replicate what these guys did is because you don't inject steroids like they did / do. Also: It gets harder and harder when you get older. The recovery process is the most important, but it's not possible for a normal human being given the volume and intensity of these bodybuilders. I know this is not rocket science, I just feel that there are some people who actually think it's possible to train like this and look like this on a regular diet.
    3
  25822. They're just bored to explain to students. Happened to me through all levels of my educational life. Also, they have low temp
    3
  25823. Thank you that was helpful
    3
  25824. 3nd
    3
  25825. This is good advice and actually applies to life itself.
    3
  25826. Well I don't know if you watched the video, he mentions topology and measure theory. But its obvious that a lot of subjects are going to be missing.
    3
  25827. I was not expecting this type of video. Hahaha. I'm a math student with fitness lifestyle.
    3
  25828. Where's second episode?
    3
  25829. I'm pretty sure you can eat your math book.
    3
  25830. Guess that's what happens when you start storing knowledge in your muscles because your brain has become full. Keep up the great content bro! You've helped me a lot :)
    3
  25831. Nice explanation👍👍👍👍👍👍👍👍👍👍👍👍👍👍👍👍👍
    3
  25832. Give us a tip......how to stay focused on reading maths. Thank you !
    3
  25833. Buenísima recopilación , muchos traducidos al español, Unos clásicos Spiegel y Lipschtuz, generaciones nos formamos con ellos.
    3
  25834. This man should shave his head, would be a sweet look!
    3
  25835. 52:56 no I’m still watching
    3
  25836. Step 1 done step 2 done how about topology. With topology without 😭 I am still banging my head against the wall (3) I do more and some times still feel dense🤪
    3
  25837. questions with no answer can make you rethink it answers are perceptual shift
    3
  25838. AYYY YOU FINALLY REVIEWED IT!!!
    3
  25839. Yes this is a great book, we used the book on our intro to functional analysis course
    3
  25840. 0:18 3 staples caused that
    3
  25841. This is so true. I preformed very below average in math in high school and I had to take remedial courses as a result of this in college. The lowest entry level courses in mathematics, remedial algebra essentially. I ended up minoring in math and making A's in every math class that I ever took.
    3
  25842. Thank you so much
    3
  25843. No sé si soy muy consistente porque esa percepción depende de cada uno, estudiar una semana es ser consistente un mes tal vez, o más, lo único que se es que me dí cuenta cuenta de que me encanta, porqué hoy me dan más ganas de ponerme a hacer matemáticas que jugar un vídeo juego. Un abrazo. ❤️❤️❤️
    3
  25844. i can't learn by book i can learn by videos
    3
  25845. thank you so much, you made me make a 100 on my final
    3
  25846. This cant be university right? Kids are so young! Anyway nice lecture, using it as refresher
    3
  25847. More videos like this one.
    3
  25848. This was painfully accurate
    3
  25849. u explained it waaay to complicated. do +1-1 trick s+q/(s+q)^2 - 1/(s+1)^2 now s+q and ()^2 of (s+q)^2 do cancel each other. now we have 1(s+q) - 1/(s+1)^2 and using the standard formula for e^(at) we get e^-t - t*e^-t
    3
  25850. 3:42 🤣🤣🤣🤣🤣 so TRUE Always edit the original problem to fit the solution
    3
  25851.  @TheMathSorcerer  just look at jee exam india
    3
  25852. ❤🎉🤝🌝
    3
  25853. nothing's easy if you do it right (unless it's something like drinking water)
    3
  25854. I’m in pre calc right now and this video really helped me, math has been one of my hardest subjects so thank you
    3
  25855. I just ordered this book from Amazon (2020 Ed), believe it or not, before seeing this video. Thank you for confirming my choice.
    3
  25856. You really safe my day.I can’t sleep but I watch you‘re videos.You are such an optimistic, positive and interesting person, thank you really much for your efforts.
    3
  25857. Here in time to get our heads straight over the weekend
    3
  25858. Could someone explain to me the reason why 3 can be modified? I mean if it is some type of property that is applied or you can simply do that if it gives problems to reach the solution of the problem.
    3
  25859. Helpin me review, thanks!
    3
  25860. I agree with this. Without taking Calc BC, I would have failed my college classes about those subjects. But thanksfullly since I had seen it before It really let me grasp the concepts
    3
  25861. Thanks as always 🥺💘
    3
  25862. i want to learn AI but when i see those books of 800 pages or 1000 pages gets me frustrated because you first have to learn algorithms .....
    3
  25863. thanks this was good for recapping on my knowledge
    3
  25864. Fascinating! Keeping all the steps allows us to follow along with this beautiful mathematical proof.
    3
  25865.  @TheMathSorcerer  I learn math in Spanish but by my way I learn English with YouTube and of course, your videos as well.
    3
  25866. I prefer the second solution
    3
  25867. Literal life saver, tysm!
    3
  25868. Awesome video!
    3
  25869. Amazing! Thank you!
    3
  25870. Thanks for making math lessons enjoyable and interesting! It is always magically understandable because of you.! Greetings From Saudi Arabia!
    3
  25871. Thanks. Great Advice & Great Vid. ❤❤
    3
  25872. This guy is saving lives.
    3
  25873. Do you take requests?
    3
  25874. This is your best vídeo!
    3
  25875. Wow ! Third comment
    3
  25876. This is great but there is one part I disagree with. Mathematics compared to any other subject, especially among the other STEM fields is kind of ideal for self study. With things like physics, chemistry, and biology you really need the physical/hands on aspects of it such as labs. Universities give you access to equipment and resources that would be near impossible to get on your own. Mathematics is an aprioi field, requiring only pencil, paper, and maybe a textbook. This is kind of one of the most incredible and unique things about the subject. And with things like AI developing, having a personal tutor with you at all times makes it an even easier field to do alone.
    3
  25877. I am 59 and self-studying topology
    3
  25878. Make no mistake, the dude you were copying from was able to learn the same math at an earlier age. Alternatively, who knows, his mother and father both may have been doctors or engineers and he may have had hours of homework help at home. And I really do think that sometimes someone's brilliance may have been born out of curiosity. He may have been just interested in math enough to study it harder than anyone else.
    3
  25879. Math performance is really like music composition: it's half a talent, half a lot of practice. Since math isn't about how we behave when we know the theorems but when we DON'T know the theorems, it cannot be completely learned but it can be vastly improved by true, authentic love for the beautiful supreme queen of the sciences.
    3
  25880. 🙏
    3
  25881. Great video! Anyone knows if there is a, let's say, "theoretical differential equations"? I mean, for calculus we have analysis, is there something alike for DE? Like a pure DE or something XD
    3
  25882.  @TheMathSorcerer  I would love to study some sort of math, engineering, or comp sci, ect. I really don't have an exact idea because there are so many possibilities and like maybe I'm really bad at high level calc and I learn that I love physics, but the thing is is that I won't know until I try it. I'm just wondering if it would be a better idea to try to spend more of my time with other extra curriculars that appeal to colleges (I'm the founder of the math team and I took and online number theory course) instead of doing this, because I wonder how realistically useful it is?
    3
  25883. I'm sold!
    3
  25884. rodger that Mr. Math Sorcerer!!! RODGER THAT.
    3
  25885. 💯
    3
  25886. My advice, is to study harder then usual, try to work with others n your class whom share your experience. Do Not Give Up! a great man once said "Genuis is 99% perspiration".
    3
  25887. Would you recommend that I major in math if I'm only somewhat interested in the subject? I tend to get frustrated with math when it's not going my way, but I love it once I actually get it.
    3
  25888. 😁 thanks for the heart
    3
  25889.  @TheMathSorcerer  repent from your sins!
    3
  25890. Im exactly in the same situation. This video helped alot!
    3
  25891. Well i am busy doing the discrete book u recommended with khan academy problems in algebra. I hope to one day get into these books. (the discrete book is a lot of fun its all i wanted for starting with math. thanks a lot i bought some other book years back and that one failed hard so this discrete math book is like a book from heaven for me)
    3
  25892. <3
    3
  25893. Hi Proffesor! what do you think about the Open Stax math books? Have you tried them? They are peer reviewed completely free downloadable textbooks. https://openstax.org/subjects/math Thanks so much for your work
    3
  25894. This is soooooo helpful. Thank you so much!
    3
  25895. At first I thought it was the golden Canadian standard of James Stewart Calculus 😅
    3
  25896. Kon kon india se hai🙌🙌☺️🇮🇳🇮🇳 👍👍👇👇
    3
  25897. Great video, intelligence is a taboo subject.
    3
  25898. This was simply AMAZING !
    3
  25899. because ln x is defined for x > 0, so ln(anything) needs to be such that anything > 0 here ln(x^2 - 100) means x^2 - 100 > 0 :) Also if y = e^x, note y > 0 from the graph of e^x, the inverse function is created by defining x = lny , note where the y is, it's the arguement of the log and y > 0
    3
  25900. For me it also bolsters my calculating and thinking, at any domain of life. Maths is just great. Btw, I love your insights Mr. Gandulf
    3
  25901. OMG, you didn't just do that again...Over the past couple years I put a lot of faith in your "mathematics-know yourself" life wisdom videos. Really good stuff actually. You got this modern day Archimedes/Marcus Aurelius thing goin' on...I love it. And then comes that pivotal life changing moment, right when I'm about to transcend myself into the bright light of your inspirational message, when, out of nowhere, you blissfully plant your face deep into the textbook inhaling that distinctive aroma that gives you some king of satisfying glow and, I suspect, a need for a cigarette. And, that fast, my trance is broken. And so I journey on to another more recent Math Sorcerer video, If Math Destroyed You. And damn it, there it is again, just 3 mins into a beautiful message, and you're sniffin' pencils...what is up with the bibliosmia thing? I kid with you Math Sorcerer, you are the best! Jesus will definitely give you a big hug for your contributions to humanity. Thank you.
    3
  25902. Dependent on professor
    3
  25903. I took Calc 1 last semester and earned a "B" and I will take Calc 2 and University physics this semester and earning an "A" will be the goal.
    3
  25904. i mean what the frick
    3
  25905. I want to go back to Uni (Im 30) and study Math Ive ALWAYS had a nick for Math and numbers, I aced math back in college days and always got top marks and studied hard and taught myself pretty much everything This in mind What do you reccomend to read to bridge College Math to Uni Math? Thanks! I love your videos
    3
  25906. Is it too late at 37 to achieve my big dream?
    3
  25907. Nice book!
    3
  25908. very good and readable. Elementary Differential Geometry, by Pressley
    3
  25909. I'm very grateful for these free tips on learning Math, and I'd be lying if I said your stare doesn't put me into flight or fight 😅 Thank you so much for the amazing videos!!!! 💖
    3
  25910. I make my own review based on chapters for each test provided in syllabus
    3
  25911. Compact and precise. I like it.
    3
  25912. I am revisiting this video from 7 months ago, and I think I almost got it
    3
  25913. thank you so much, so clear now
    3
  25914. I think the cover is designed to scare off the those who have been skating by up to this point. I took Automata as a masters level course and used the same book. Our professor taught the course using memorized notes. He had to be one of the smartest professors at the university, and one of the most humble as well.
    3
  25915. I haven't even started my undergrads, but damn this was some good advice.
    3
  25916. For all your writing tool needs! Most of this comes from my experience as an artist and I also happen to be a math major and I have used all of these tools for math work before. Here are some things that have worked for me when it comes to pens. -Bic gelocity are a nice gel pens with super smooth lines, no line breaks and they're pretty affordable. -If you want water based, the uniball onyx is decent but it doesn't have perfect inkflow though. -Micron pens are good if you're graphing things on paper because of how precise they are, these are more of artist pens but they're really satisfying when you're calculating large integrals or something. -If you use black paper gellyroll makes really nice white pens. -pilot v-balls are nice for super thin lines but also good ink control. -Ball point pens are good if you have no other option, if you become really skilled with them they're equivalent to any other pen. -The Huion 420 is a really good cheap option if you do your work digitally. If you do your work in pencil, some good erasers in my experience are (in order of quality): -tombow mono -Sakura sumogrip -Pentel hi-polymer -staedtler mars plastique. all of these erasers will completely erase any pencil mark you make even if you use charcoal or an 8b pencil. -Prismacolors kneaded eraser is also good if you want super fine point erasing but they do dry out and aren't perfect, so I wouldn't recommend unless you're constantly having to erase single digits. I don't know much about chalk but if you're using a chalkboard I heard that hagoromo chalk is the hands down best chalk there is. I'm not sure how you aquire it though since i heard it's discontinued. You can basically use anything to do math, it depends on what you're going for. This sounds crazy but hear me out you could even use a pen eyeliner if you want a paintbrush feel. The eyeliner leaves super dark defined lines and lets you write as if you were writing with a quill in the 18th century. I wouldn't recommend this though, because it's probably the most expensive and impractical way to do math. This is my experience as a mathematician and an artist. Hope this helps!
    3
  25917. Thank you very much for the help! Sorry for pointing this out but I can't help myself, it's correct to write "its derivatives" rather than "it's derivatives".
    3
  25918. I've studied Robert Ash's material in Algebraic Number Theory for my master's degree. There's a lot of great stuff in his website.
    3
  25919. Greetings Mr.Professor, Thoughts :- Thanks for the Thoughtful message about 'How not to fail in Academics ? ' Response :- - Methodical Learning Take Care, Professor. With regards, RanjithJoseph (R.J)
    3
  25920. Thanks sir
    3
  25921. Awesome book sir🙏
    3
  25922. First!
    3
  25923. The reason you aren't doing well in math? You're not studying properly duh
    3
  25924. Magician, can you make a video on GMAT please?
    3
  25925. anyone please share scanned copy of the book:-"Elementary Linear Algebra and Matrices by Caron and Salzmann".as its out of print;your share will be a great help.thanks.
    3
  25926. Yep this just about it .
    3
  25927.  @TheMathSorcerer  Thank you!!
    3
  25928. Can you make a review on this book "A first course in mathematical logic and set theory" By Michael L. O'Leary it is a really strange and fun book I recommend you take a look at it.
    3
  25929. 2:40 that would be so nice
    3
  25930. The flipside is never underestimate your math homework. The first exercise will be easy, maybe the second and third too, but the fourth and onwards will be tough. So don't leave the homework for the night before the deadline.
    3
  25931. "Math is not gonna punch you in the face". Yeah, it's gonna punch you in the brain, which is way worse.
    3
  25932. I made large amounts of money in my early 20s... which resulted in my becoming an eternal lazy NEET. My best mathematical accomplishment is very rarely failing exercises, even the ones in "hard" graduate books. I also did some good work on statistical epistemology, the whole frequentist/bayesian conflict along with some quite seemless integration of economics and sociobiology. If I weren't lazy I'd publish books on those topics, I actually really should.
    3
  25933. The best place to be by 3:43 am
    3
  25934. I look up bunch of them Ramanujan, Turing, Hardy, Euler and others as math hero!
    3
  25935. Very nice message. I must say, I burst out laughing at the thought of vocally asking the person next to me in the Walmart checkout aisle: "Do you know calculus? Because I do." Can you imagine going around yelling: "I know linear algebra and you all don't!"
    3
  25936. ..."Are math people elitist?" I'm unsure what the latest statistics show, but I'm willing to wager that mathematics majors still only make up a very small proportion of all graduates. Why? Probably because mathematics is, for most people, very hard work. But, more importantly, math requires a deep curiosity about how the world works. It requires inquisitiveness, dogged determination and much (for want of a less overused word) passion. Let's face it, there's a lot more money to be made persuing much easier degrees, so no budding mathematician goes into it for the remuneration. So why math? The pursuit of elitism for its own sake? By and large not likely. Some mathematical figures throughout history even pursued math to the detriment of their potential earnings. Some even lived frugal lives. While those less interested, or perhaps less capable, souls around them chose to chase wealth and status instead. All in the name of elitism? No. I believe every "math person" has within them a burning desire or thirst for the pursuit of truth and knowledge for the fundamental nature of the universe. This, above all else, is what drives most mathematicians to follow such a noble and compelling vocation. Are some math people elitist? Surely. But they are likely few and far between, and rightly so.
    3
  25937. What is the probability that a random person was driven to build a huge book collection by the need to fuel an addiction for the smell of old books? This is similar to my suspicion that the teaching profession selects strongly for those with a magic marker fetish. Problems I've been working on instead of my homework.
    3
  25938. Wow can't wait to read this
    3
  25939. I think the best book for advance calculus is shrifin's
    3
  25940. I have a method to help deal with this problem. With the 60-30-90 triangle, just memorize that the two legs are 1 and sqrt 3. The hypotenuse is 2. Then when you are given the angle 60 degrees you just think, well that is going to have a bigger y component than x component, so the sine ratio, which is y/h, must be sqrt 3/2 rather than 1/2. Similarly, for a 30 degree angle, the x component will be larger than the y component, so sine 30 must be 1/2 rather than sqrt 3/2. Works the same way with tangent if you know that tangent theta is y/x.
    3
  25941. you helped grog with math hw, thank you
    3
  25942. I let Life intercede how it willed: all I ever asked of it was to keep things interesting, and it did not let me down.
    3
  25943. My question for this person is are doing so much because you need to or are you doing so much because you feel pressured to do so? Is she truly being fulfilled? Martial Arts are a great thing to do but if she's burning out then maybe Martial Arts classes aren't actually helpful in her specific case. She might be better doing a less time consuming form of exercise to stay fit for now. She can always pickup martial arts again later on in life when there's more time.
    3
  25944. check out a book called 'Flow - The Psychology of Optimal Experience' for something similar . . .
    3
  25945.  @TheMathSorcerer  thank you so very much sir! It means alot to me
    3
  25946. Paul erdo is right
    3
  25947. How many math scientific papers/book pages should graduate student read per day...
    3
  25948. thank you sir
    3
  25949. condensate of Euler's analysis? congradulations cool 500k and one . revisited beyond confusion booklet
    3
  25950. Estás muy fuerte 😮
    3
  25951. Love your content❤
    3
  25952. THANK YOU
    3
  25953. 60 minutes a day for the next 60 years? Lol
    3
  25954. Thank you brother. Your videos help me more than you can imagine. Best wishes.
    3
  25955. glad to be a subscriber
    3
  25956. How did I learn it? I tried to do every problem in the book as I went along. Also had a study group for Calc I. It was fun, although you had to put in the effort.
    3
  25957. I'm thinking that a bunch were just unprivated
    3
  25958. Your video are just motivating me every time when I lose control in doing math. Thank you very very much sir. Love you ❤️❤️❤️.
    3
  25959. 5:34 How can somebody who is not into sports and likes too much video games, have the discipline to study a vast branch of knowledge like Math, it’s still something that I can’t understand (I’m in a Math major and I’m a little nerdy btw, but I’m trying to get that discipline, both in Math and in training).
    3
  25960. Stonks 📈
    3
  25961. Thankyou, from japan. I'm lucky to ritch your youtube channel. I have two vission. ①take a master's degree②improve my English skill so I reed grammar books n ow. If I set the particular time and page, I can't achieve the quota, I'm very sad and anxiety.
    3
  25962. great video
    3
  25963. Why don't you want to tell us what course it was? Was it real analysis?
    3
  25964. I'm watching this while trying to gain motivation for real analysis quiz tomorrow ahah
    3
  25965. I prefer a more direct book with the explanations. I find american curriculum books suffer from using too many abstract examples. Every question is always some real life situation with names and places thrown in. All it does is confuse the simple information that they should be trying to convey. Some time they even omit proof of the equation relying wholly on abstract examples to explain the technique. That being said, I find too many work questions to be a waste of time. 100+ is wasting your time unless you really take a long time to get a topic. If you know the principles, move on and learn the next steps.
    3
  25966. Sir if you are really good at mathematics, I challenge you to solve JEE EXAM math question paper 📝
    3
  25967. OK here we have considered ε= 1, for a corresponding N. So in theory we could have taken any other number like ε=2 for a different N∈Ν.
    3
  25968. Almost died watching this video
    3
  25969. thank you so much💔
    3
  25970. Great video
    3
  25971. ok u changed my life sir
    3
  25972. Tks sir
    3
  25973. If you don't mind, I am going to encourage my secondary math students to watch some of your "words of wisdom" videos. I think there is a lot they can get out of them along with much encouragement.
    3
  25974.  @pbr4730  If you want a physicist's level of mathematics background Hassani's books are good, otherwise you have to look into getting an actual mathematician's background. I don't think there exist mathematical physics books that aren't superficial, you just can't put 10++ books worth of mathematics into a single 1000pager.
    3
  25975. It’s on my Amazon to buy list 👍🏼
    3
  25976. this is amazing, gonna watch it tomorrow. amazing!
    3
  25977. Thank you so much 💖
    3
  25978.  @TheMathSorcerer  Sweet thank you!
    3
  25979. "Just write down what you want that's the secret to success with these problems." lol I knew what you meant. Great video it helped a lot!
    3
  25980. Einstein, Musk etc. belonging to the top 1%😂 7 Billion people, 1% equals to: 70000000 people😂 that many geniuses like this video creator😂
    3
  25981. i love you
    3
  25982. I just love the way you inspire ..I recently bought a book Mathematical Methods for Physics and Engineering by Riley and Hobson...it’s a fat book..can you suggest if you have gone through that anytime before
    3
  25983. Hi I'm Henry and I want to say that you're my inspiration. I love your videos. I'm an amateur mathematician. I want to be like you. I hope you can make a motivational video of pursuing to be a pure mathematician. I love pure mathematics. I fell in love with math when i was in 10th grade. I'm 24 years old now. My pace of studying is slow. I can't afford most classes in my math major because i have to pay out of pocket so I teach myself math by studying books. It would be an honor to be mentioned in your videos. Keep making awesome videos. Thank you
    3
  25984. You are quite fascinated about Algebra just like me. I also got almost all the books like you do, although in pdf format. I plan to study Algebraic Geometry some day. Now focusing on some basic Algebra, learning from Saracino, later I will head on to something more serious
    3
  25985. What happened to the dangling parts at the end? xD Guess; since c2 = 0, Co also equals 0. PS pretty sure my guess is correct but feel free to correct me <3
    3
  25986. I think disc/shell just take some visualization. Infinite series are somewhat perplexing, but nothing too far outside of one’s intuition. From tutoring these classes the past 5 or so years, Calc 1/2 have been the easiest to retain both conceptually and computationally. Multivariable calculus requires even more visualization and spatial reasoning than calc 2, and conceptually and at a proof level, it is significantly more difficult, IMO. It sometimes even relies on results/proofs from higher up, such as differential geometry with Stoke’s Theorem. I have always felt Calc 3 is harder in this way, but I can empathize with the perspective that the jump from Calc 1 to Calc 2 is bigger than from 2 to 3.
    3
  25987. Wow did not know that Isaac Newton was a youtuber
    3
  25988. love your videos
    3
  25989. He looks like Jeff bezos with a wig
    3
  25990. Great motivation. Thank you! Working on recursive sequences today.
    3
  25991. That’s actually d(√x)/dx when x=16.
    3
  25992. Thank you for this sir, clear explanation.
    3
  25993. The reasson I have not been able to learn more about medicine, mathematics, and law lately is because I get distracted by television.
    3
  25994. I recommend Thomas's Calculus it's quite good for beginners like from start to finish
    3
  25995. Your explanation is great!! , Thank Youuu
    3
  25996. Fifth and most important trait of mathematician: They can solve a rubik cube blindfolded.
    3
  25997. From the perspective of a near-70 year old: write down your roadmap and make progress toward your goals every day. You may only be able to proceed slowly at first but keep those baby steps going and you'll be surprised and grateful that you pursued your life's goals. Never, ever give up.
    3
  25998. i dont agree because the math engineer do and the physics they do compare to someone that major in pure math or pure physics are jokes kind of but of course it does not mean engineer is an easy major because they have applied course that require lot of practice but most of their courses is you learn something and the you go applied you don't necessarily need to understand all of the theory behind it whereas people that study math, physics , statistics, or even some branch of computer such such as graph theory , algorithm, complexity theory and stuff have to really to open their mind deeper to understand because everything is more abstract and indeed if you look at graduate level math or computer science they have to find the solution for problems where the solutions does not even exist where nobody before them was able to solve whereas in engineering you applied what the mathematician and other discover in they research., this is just my opinion
    3
  25999. Which graphics tablet are you using? And which software? Do you use a screen recorder? Which mic u use? Thanks!
    3
  26000.  @TheMathSorcerer  OK thanks a lot!!
    3
  26001.  @TheMathSorcerer  Which Wacom tablet are you using? ( I mean to ask model no. if possible please)
    3
  26002. Your videos motivate me bro!
    3
  26003. I want a copy of that book!😁
    3
  26004. Thanks, I'll buy it. But there are three things in math: there's breadth, there's depth, and there's something I understand.
    3
  26005. It depends. Some linear courses take a proof based approach and require a level of mathematical maturity beyond what calc 3 students are expected to have. Similarly many undergrad DE courses dont require that much linear algebra and only review that which is absolutely necessary.
    3
  26006. Really helpful..
    3
  26007. I wish this dropped before I started my calculus class started. Also when you say study, that doesn't include doing homework right? My current professor says studying and doing homework are not the same thing.
    3
  26008. Wow! So cool lecture!
    3
  26009. Thanks The Math Sorcerer :)
    3
  26010. I agree that using a book is better because you do not need a computer, electricity, or internet to study.
    3
  26011. Formatting is also a lot nicer
    3
  26012. Ok Jeff Bezos
    3
  26013. Café Bustelo. Eres hispano?
    3
  26014. Please do an interview with an electrical engineer 🙏
    3
  26015. Lol I blocked myself... I didn't realize it was the fkn same thing I was doing. Thanks bro.
    3
  26016. What about if its (x^2)e^(3x)
    3
  26017. You helped me a lot sir, for my exam. 💕 from India :)
    3
  26018. Could you please cover basic trigonometry, geometry (co-ordinate geometry included) and vectors and transformations for 10 - 11th grade?
    3
  26019. How about a job in cryptography. What could be cooler than cracking government secret messages.
    3
  26020. So I’m getting started on differential equations before the fall semester starts and I have been reading the first chapter 1.1 from the book A first course in differential equations, the classic fifth edition by Dennis G. Zill. I was wondering if your lectures follow that book by chance?
    3
  26021. Awesome! That’s so great! My professor this semester won’t be doing any lectures because of the pandemic. He will just be having us do questions from the book and handing out notes. I always learn better with lectures though, so I’m a little sad to not have the full experience. But with you lectures that could change. Thanks for making these videos available! You do a great job of explaining things. And you seem like you do a great job of making the class fun. I’ve been waiting for diff eq for a while and am really excited to finally be taking it!
    3
  26022. Great tips Mr Math 🧙
    3
  26023. Thanks mate
    3
  26024. Helpful video. Pls make more videos on trig identities.
    3
  26025. did you read all these books on that shelf?
    3
  26026.  @TheMathSorcerer Cool, it's a good collection.🤘
    3
  26027. Excellent video, I just wanted to mention Salas and Hille's Calculus ... that's what I learned from and I love it !!!
    3
  26028. With some review, I could teach Phyisics in German with a strange Kalifornia-Hoch Deutch accent. ;)
    3
  26029. Me gustan mucho tu videos hechicero matematico! Pero este en especial, tengo mucho tiempo trabajando en las matematicas aplicadas, y si hubiera tenido este mensaje tan simple como el que presentas en este video, me hubiera ahorrado muchas frustraciones. Pero como dicen, "you live and learn", pero gracias por ayudar, especialmente a los que empiezan, con consejos, sabiduria, y amor a las matematicas que impartes en tus videos... Saludos!
    3
  26030. This bring back JEE memories .. used to love solving Algebra
    3
  26031. Sir, please advise some boolean algebra and spherical trigonometry books. These are my recommendations of some books that will help awaken more curiosity about mathematics among its enthusiasts - 1. An Introduction To Mathematics By Alfred Whitehead 2. Flatland: A Romance of Many Dimensions By Edwin Abott Abott 3. Adventures In Numberland By Alex Bellos 4. Alex Through The Looking Glass By Alex Bellos 5. A Mind For Numbers: How to Excel at Math and Science (Even If You Flunked Algebra) By Barbara Oakley.
    3
  26032. She is one of my heroes(or heroines?), another my hero is Sofya Kovalevskaya, oh! two more persons , Sophie Germain (she was a Glois' contemporary, of course he is my god), and Hypatia(c.350–370 AD) in Alexandria.
    3
  26033. Where to meet math students if I'm self-taught?
    3
  26034. You said Bustelo Coffe , Latinos understand why u need the coffe in the morning ...... coffe lovers , try bustelo , its not the greatest by no means ... but it will put theorems workouts , life
    3
  26035. Love from india 🇮🇳🇮🇳🇮🇳
    3
  26036. thanks! Now i’m starting with calculus! I didn’t have a chance of guidance since I am 12.... You are my sorcerer!
    3
  26037. It works
    3
  26038. The guys got style!
    3
  26039. Thank you for the first tip, I really wanted to learn differential equations but I was afraid my calculus wasn't strong enough
    3
  26040. it doesnt, but it will, later, hopefully
    3
  26041. "Is this true" in mathematics is equivalent to "Is this true for all *whatever objects you are interested in*", so the correct answer is "no", since there exists a case when this proposition is wrong
    3
  26042. To cheat is to cheat yourself.
    3
  26043. Some of the best computer programmers I have known have also been excellent musicians.
    3
  26044. Thank you very much, that was very helpful
    3
  26045. Jeff bezos’ brother
    3
  26046. Im 33 years old and i can say that im not good in Math. Maybe it's because Math subjects are being taught in English back then during my primary education so most of the time I can't understand the words and sentences used to describe the problem. Maybe if they taught it using our mother tongue i think I will better. Kids have different learning pace though. So now Im older and i want to correct things. I want to learn math because i want to learn machine learning and AI this is to further my Software Engineering career.
    3
  26047.  @TheMathSorcerer  Hi Sorcerer, well, I probably could have done more and faster and Math. But my "retirement" came as a surprise: the company I worked for lost a Government Contract. Then I had degenerative osteoarthritis of my hip joints which I tried to ignore for years (too busy at work, right?) so the next contractor wouldn't hire me because by then I was marginally crippled. Sorcerer, I remember my last day as a Non-Cripple: I had gone to the local University to talk to the Education Department Counselor, and there made up my mind to be a Math Teacher (there is Science but what the heck is Science, right? Of course you can say the same about all the Maths, but in K1 to K12 effectively all Math is Pre-Calculus, isn't it?). The Education Building had been across this big field from the Parking Lot. Transversing the Field was so painful I knew I shouldn't register for classes. But I made it to the University Bookstore and cleaned the shelf of what I thought would get me going: I got a gem of a "Developemental Math" book (still love that thing), "Algebra Form and Function" in paperback, a Swokowski "Algebra and Trigonometry" 13E (which in the next 4 years was reduced to tatters and so I bought a new copy), and a Stewart Single Variable 7E. Developing regular study habits and getting the sleep cycle right were issues, but eventually I fell into the grove. Oh! Here is something: I decided to work with White Board: I got these Glass Covered Picture Frames and put copy paper under the glass and would use them instead of paper. I would buy the thin Dry Erase Markers in bulk. It is easier to start over with White Board. With paper you feel committed to continue down dead ends because you don't feel like wasting paper, but with white board you can just wipe it all out. I did go back to Paper when I started taking classes, because I found I better get used to working with Paper and Pencil. Oh, I did really good on the College Math Screening Test: perfect scores in the first two test segments and was just shy 3 points of being able to go directly to Calculus I, which I wouldn't have done anyway because I suspected there were tricks that the Professors in Algebra and Trig could teach me. After a few semesters I have a GPA 4.0 but Calculus I was a Battle for the A and the A came with hardly any margin. When I was home studying I would get up into Calculus but then have to turn back into Algebra or Trig and that would take a few months to bring up whatever skills I thought I lacked, then I would have to start Calculus again. Never got into Calculus II material. So I knew I would be putting my Perfect GPA on the chopping block by going on to Calculus II just after semester break, so I decided to stay home again for a semester, but then the Pandemic came. The Election was a distraction too. But, yeah, I'm back to Homestudy. Thanks for your support, Wizard.
    3
  26048. Your videos have made me love hardcovers hahaha
    3
  26049. It's weird that whenever you discuss Calculus book by James Stewart, you always say ' he passed away several years ago '....
    3
  26050. Wow!
    3
  26051. mine was: either figured out meter-hypercubics of tesseract as well explaining people's souls as hyperdimensional computronium even when learning new language was bigger forte of mine than math
    3
  26052. thanks, this video is the best of proving a surjective , :)
    3
  26053.  @TheMathSorcerer  thank you very much
    3
  26054. Thanks teacher brought me here
    3
  26055. What's the point of learning differential equations?
    3
  26056. Very good stuff, I really appreciate that you are always there. And you should know that despite not having millions of followers, but you cannot imagine how much it helps me and motivates me to continue in this. Please, stay around!
    3
  26057. I was helping my buddy through a calculus 1 limit problem and was able to see immediately the little trick to do it earlier today; that feels good because it let's me know I'm getting smarter at how I approach math problems. On the other hand he had one limit problem I was unable to get the solution for (lim x-->0 of cos(sqrt(x)) ^1/x). How do we deal with or think about problems which we know are easily in our grasp but for whatever reason we don't yet see the subtle shift in perspective to solve them? I think that is often where I struggle to stay positive in how I think about my adequacy as a mathematician (I'm sure when I realize the solution I'll be kicking myself in the head for not seeing it sooner). Edit: whelp figured out how to solve it (hint make a substitution), but still can't believe I didn't think of it sooner).
    3
  26058.  @TheMathSorcerer  maybe we need a new number system.we already have imaginary as sqrt(-1) maybe we can have something that multiples 0 🤪
    3
  26059. I have the same exact book! Published in 1992 I believe something to give to my children 😊
    3
  26060. Could you wear a wizard hat in your videos? I know, big ask but please.
    3
  26061. I would like to purchase Calculus 1 Course...but can't afford it ...sorry I'm ridiculously indigent. A few days ago think maybe had a sale price and a 6 hour window left too purchase. Probably wrong about this, I don't know. At any rate I am gonna find a way to obtain this course. Time is money. For me it's a tradeoff of having the course now and no money or waiting 30 days when I can purchase but those 30 days are lost not studying. Anyway, that's my dilemma.
    3
  26062. This is hardly limited to math. Take any subject (comic books, anything with some sort of "lore"), and you'll find some group within it using their (often intermediate at best) familiarity with it as a club to beat the unwashed masses with in a classic us versus them manner, as if it was their job to protect the sacred cow. It doesn't help that there are folks out there with a genuine love of the subject who think normal conversation is an excellent opportunity to demand high levels of rigor, as if what they have to prove is themselves, when all that is needed is a sense of plausibility during an inherently inexact conversation. I see it in so many interest groups I'm in, and spend way too much time doing damage control while the bad actors give the subject a bad name and drive away people who want to explore it. Math just happens to be one of the subjects where antipathy and resentment has simply become so firmly entrenched in our culture. It's a topic I've learned to not discuss with a couple friends of mine.
    3
  26063. I understand the point because tests are timed but I don't agree with speed because depending on the test you may be given problems that are unique and different than what was covered in class and homework. You may also be susceptible to making mistakes if you are too fast and don't check your work. One needs to deeply understand the concepts of the topics and go through carefully to understand the why behind each step to answer the question. I'm like your friend that was very careful and slow compared to being really fast. I think there can be a middle ground where speed can be somewhat important because one may run out of time when taking an exam but if one understands the concepts well then they should have no problem with their exam and have plenty of time to answer the questions correctly.
    3
  26064. Thank you very much for your wisdom! You are a true inspiration, strong both physically and intellectually.
    3
  26065. Try Point Set Topology: A Transition to Higher Mathematics by Andre Yandi.
    3
  26066. Calc 1 and 2 were really easy for me, but calc 3 is giving me a hard time.
    3
  26067. Great book. I have both this book snd his other Axiomatic Set Theory by Suppes, but in soft cover. Halmos is my hero!
    3
  26068. "You have to give up strategically".
    3
  26069. if jeff bezos had hair:
    3
  26070. This was quite helpful, thank you!!!!
    3
  26071. Very well explain, Love the way you talk, makes me not get stressed while I´m thinking 🙃
    3
  26072. Can we get a ranking of best smelling books?
    3
  26073. Awesome content.
    3
  26074. This video is so good. Me and my friend watched it multiple times before our math exam today. It was so motivational. I'm expecting full marks!!! I love you
    3
  26075. Dang I see so one of the methods cryptography uses is matrices, hm. I'm used to matrix premultiplication of multiple matrices and taking the inverse to project onto a vector as the answer as well as getting the sandwich estimators from covariance diagonal matrices. But I know it's mainly abstract algebra and number theory.
    3
  26076. I have this same edition!
    3
  26077. For our 3rd year Pure math course on complex analysis we have used Complex Variables: Harmonic and Analytic Functions by F.J.Flanigan
    3
  26078. I've been saying that to my friends for years.
    3
  26079.  @AmritGrewal31  good stuff Amrit, i get defensive/offensive when the sorcerer is obstructed from doing its magic.
    3
  26080. Thank you for your recommendations! I’m thinking about majoring in mathematics, and need to strategically retreat...
    3
  26081. My story was accidental as well...I remember since High School smoking weed all day I used to ask "This can't be all there is in life". Then I joined the army and after a few years later when I decided to put my free TA to good use, I wanted to study psychology (because I was very curious about human behavior and consciousness) and then physics (because I realized psychology wasn't as rigorous as I liked it to be - seemed too arbitrary). I just wanted to know about reality as close to truth as possible so I wanted to learn about quantum physics, however, I could only attend online school and they didn't offer it, closest would be math and space studies. I figured math was the most practical, so did that and after a couple years I started really enjoying it, combined with0 having a knack for logical thinking, soon I was hooked. It literally does feel like a language that lets you communicate with reality itself.
    3
  26082. The number of confirmed cases in NZ is currently around ~8, but just this week the Government put restrictions in place on group gatherings, which, for now, schools and universities are exempt from. My school at UoW will be holding all lectures online on Friday as a test to see if everything can work smoothly if/when lectures won't be able to physically take place. I personally really hope it doesn't come to that.
    3
  26083. Good day Sir, I appreciate this video and I am currently reading the James Stewart book 6th edition, I just wanted to ask if the edition number matter? will I get more out of a book if it is the latest? I hope you respond and have a nice day.
    3
  26084. Some idiot underlined what a co-ordinate system is ?? and they were taking this course. Human made but not from Feynman's library. A nice little book - very relevant to engineering with EM fields, antenna theory. Another one to buy - thanks wizard.
    3
  26085. Merry Christmas and best wishes for 2025.
    3
  26086. im surprised i understood this as a smol algebra 1 student
    3
  26087. What level of calculus is needed to understand this? Like is it calc 1, or 2 or that. Thanks in advance
    3
  26088.  @TheMathSorcerer  thank u sir
    3
  26089. so good this video just like all dont stop uploading!!!
    3
  26090. I am studying in 7th grade I am almost perfect in Maths . From today I am goona do everything you've told in this video -Thanks a lot !!
    3
  26091. Great vid, I'm going to use this to try to speed run some of these books, thx so much for this.
    3
  26092. singapore math is neat. indian math instruction is very iconic
    3
  26093. Designing automation to replace hundreds of union factory workers (and billing as a percentage of the wages saved over ten years) requires an elitist mindset, even if only at work. Vonnegut hits on elitism in automation in Piano Player (1952). (:
    3
  26094. 27:11 HEY! I told you about that book in the comments! So happy that you found it and mentioned it here. I am actually surprised how you managed to get that book, I couldn't find it no matter how hard I looked.
    3
  26095. Bro u just saved me from freaking out completely! Thanks man
    3
  26096. U gained a subscriber bro😘😘
    3
  26097. Really? Advanced calculus is the easiest in my experience, the hardest by a long shot was either group theory or field and galois theory. My galois theory prof even went so far as to say something along the line that "Math 451 is too easy for math majors, its really meant for economics and physics majors", Math 451 being the advanced calculus class required for math majors, and tbh, I agree with him.
    3
  26098.  @TheMathSorcerer  Thanks Sorcerer, kind of what I figured. If I forget some fundamentals I can always go and review. Love the books you show. Do you have a source where to buy some of these books cheap and used?
    3
  26099. I think this person, is the newborn newton ! Lol 😆 😱🥶😨
    3
  26100. Indeed it is!!!
    3
  26101. Exactly!!
    3
  26102. Thanks for the recommendations. I was laughably bad at math in high school and I want to give myself a second chance. I feel like I'm entering a new universe sometimes looking at some of this stuff lol.
    3
  26103. now, We ONLY see the "Paperback" Edition on Amazon ?
    3
  26104. Thank you 👍🏻👍🏻👍🏻
    3
  26105. Anecdotally. I googled all my HW for one of my undergrad math classes and just studied for the tests and got a B+. Wouldn't recommend to do this though. I'm in grad school now and I'd for sure fail if I did that.
    3
  26106. I used to teach calculus in a japanese engineering college to Saudi Arabian students, there were somewhere around 20 students, and not a single one could do even basic junior high school algebra, like solving x^2 -1 = 0. It seems like they are sending the good ones to America instead.
    3
  26107. You mentioned Texas A&M. How can undergrads know how schools rank and which schools are good in what before they begin a search. Also maybe include a typical day for a math grad student at your university. Classes taking, classes instructing, meetings, studying, etc
    3
  26108. Another definition i saw was [s]={x| (s,x)element R} But isnt it sRx not xRs? Hope you got what i mean. Im so confused
    3
  26109. If R is an equivalence relation, then by reflexivity xRs=sRx
    3
  26110. You are now my favorite person ever. Thank you omg!!
    3
  26111. Nice video,I will try to find a copy. But I want to know your opinion on John M. Erdman's A ProblemText in Advanced Calculus. There is a free pdf version online.
    3
  26112. Your explanation are really great! This should have more views though. Thank you!
    3
  26113. The reason why people get destroyed is because there is not enough work done on the cross pollination of newer and earlier work. New maths topics appear to be independent of each other in module form. Which unless they are shown how to do, will not see that the direct connection is doable.
    3
  26114. Copy just arrived!!! Will be challenging you to a math duel soon sir 🧐🤡
    3
  26115. The review scared me I’m not even taking the exam
    3
  26116. I have a hard time visually the series, its applications, what it is exactly doing.
    3
  26117. I think if this guy doesn’t understand his lecturer, he should let his lecturer know this. In that way his lecturer can try to improve his accent and English speaking proficiency
    3
  26118. Math Professor be like :
    3
  26119. What would you recommend to take good notes?
    3
  26120. I saw a bound copy of this for sale and was thinking of buying it. But as I was scouring round online II came across the free pdf version so I downloaded it today. Although I am quite familiar with reading and understanding many proofs, as well as writing many proofs, I still want to give this book a full read. In fact I'm going to get busy on reading it right away. As far as free math books go there are so many great free math books out there.
    3
  26121. Thanks so much for your support and advice! it really helps. I would continue figthing anyway but your words give me strength! God bless you sir!
    3
  26122. thank youu
    3
  26123. By committing to teaching myself, are you mostly getting at the fact that I shouldn't be solely dependent on my professor and the assigned work to learn the material and prepare for exams? Meaning that I should constantly look for other methods of learning the material so that if I don't understand something, I'll keep looking for the answer instead of giving up if the homework and lectures don't answer everything?
    3
  26124.  @TheMathSorcerer  Yeah that all makes sense! I recently had like a realization that I have so many other resources at my disposal to succeed (Youtube, tutoring sites, other books & people, etc). In the past, I found that I would get tunnel vision and always forget to look outside of the lecture material and required book from my professor because I just assumed all of my classmates were passing with just those things. It took me a while to realize that I have the power to look elsewhere. Thanks!
    3
  26125. So helpful thank you
    3
  26126. This is really helpful😌 thank you for all your videos
    3
  26127. thankyou
    3
  26128.  @TheMathSorcerer  Yea it's an awesome thing that you're doing!
    3
  26129. I will listen to this every night ....for scientifical purposes
    3
  26130. I am not just bad. I am the father of adjective bad of math.
    3
  26131. I am not smart. But I love mind puzzles. I do them all the time. They are getting boring to me now and I want to make a challenge for myself to learn math all over again. I came across your channel two days ago and it has inspired me to pick up a pre algebra math book and learn all over again. So I did I finished chapter two today and I really enjoyed it. The book I have I found so errors in the math and I triple checked it. I know I was right but the book says I am wrong. Should I look for a different text book to study out of?
    3
  26132. I am on your youtube channel referring our intern to your class. Best math professor ever!
    3
  26133. @The Math Sorcerer I came up with some tips for self studying math. Use as many of these as you want. My tips for self study: 1. Find sources with clear explanations, but avoid for dummies books as the concept is condescending and often not helpful. 2. Read everything carefully multiple times as you will likely miss something important the first time around. 3.Write down theorems, lemmas, and definitions as you read. 4. Try to prove everything that requires proof and/or do all the problems. 5. Write down anything that confuses you in clear precise language such as, "How does this one theorem or definition work"? Write your question in such a way that if you asked a fellow student that question, they would know exactly what you were asking. 6. Don't be afraid to ask other people for help. 7. Remember that how you use your time while working on math can be just as important as how much time you spend on it. 8. Write multiple drafts of your notes as if you were writing an essay. 9. Write several sets of notes for each thing you study. Make one at least one of them highly detailed and make one that summarizes the highly detailed version. 10. If you have already studied something or tried to study it and you ddon't understand any of the material remember that it is okay to review things. 11. When you get frustrated, do take breaks, but do not give up. 12. Regardless of your gender it is okay to cry when you get frustrated. Men can cry, anyone who tells you any different is perpetuating sexist stereotypes. 13. Set up a good working environment. A good working environment should be comfortable enough to allow you to focus, but not comfortable enough to. Distract you or make you sleepy. 14. Use multiple sources and multiple kinds of sources. Don't just read books or just watch videos. Mix it up and try to have multiple sources from multiple mediums available when studying something. 15. Electronic books are just as valid of a source as print books. Ebooks are still books inspie of what some people might lead you to believe. 16. Read math for fun sometimes. It doesn't always have to be serious. Leisure reading is great. Let me know if I missed any good ones.
    3
  26134. Chart patterns work because everybody is told to obey chart patterns - they are a self-fulfilling prophecy. Chart patterns were apparent and effective 15 years ago, but since computers and algorithms took over most of the trading that determines trading patterns, I have noticed that the classic patterns do not manifest themselves anymore.
    3
  26135. Is that you Newton
    3
  26136. Hi @TheMathSorcerer, I really appreciate your content, I watch every single video you post, I love them. I'm a 15 years old Italian teenager with a serious love for math, physics and the other scientific subjects, even though I mainly study languages at school (french, English and german). I have a question, a self-doubt I can never solve. I want to study physics at uni, but everybody keeps telling me that it's impossible to work after having studied physics, and that it's very difficult, and especially everybody keeps telling me that I should have gone to science high school, (it's basically a type of high school in Italy where you mainly study math, biology, chemistry, physics and other scientific/humanistic subjects). But I love languages too, and i l've always thought that an Italian physicist that can speak three or four languages is always better that an Italian physicist that can only speak italian. And sure I know it's gonna be difficult, but that's what life is, and then... who cares? I you like doing something, then do it. I know I'm right, but the human mind is difficult to control, and negative things can't go away, or at least, not so easily. What can I do to feel even more motivated, but especially disciplined to continue reading books and then doing what I love? Thank you for your time, I know I've written a bit to much, but I'm sure that a lot of other teenagers just like me have this kind of problem. Keep up the good work👍🏻💪🏻
    3
  26137. epic 😂
    3
  26138. Another great video! :)
    3
  26139. I got it! great tutorial. 🏁💫🪐🦉 🎓
    3
  26140. This hit home. Thank you <33333
    3
  26141. Wao sir amazing very nice explanation
    3
  26142. Delivered as promised in the title 😅
    3
  26143. Ok 👍🏽
    3
  26144. Prof: "We actually won't solve this exercise in class due to how easy it is" *Every mouth falls open
    3
  26145. Where can i find this book
    3
  26146. Hello thank you for the advise . But is this also helpful with physics ?
    3
  26147. Great tips...!!!
    3
  26148. Amazing. Thank you
    3
  26149. IMO, as a software engineering student, grades do matter to get scholarships, and that kind of things (IDK is that if the exact word tho) . I want to study abroad (I'm from Chile btw), and high grades are basically a requirement to get a scholarship in order to study abroad. In the other hand, I do not think that if you had straight A in college u learned everything. Some people just learn formulae and learn to do the exercises very well, but don't really know what they are doing. (I include myself here, sometimes).
    3
  26150. I went to grad school for one year. I gave up.
    3
  26151. Me too. But then decades later I went back and got my PhD at age 58. Maybe the time or the school wasn't right for you, or perhaps grad school isn't your path. But if you're watching these videos, you clearly love learning, so never give that up.
    3
  26152. I loved math in my last year of high school at that time i was reading the math books just my self and i finished the book before the teacher finished
    3
  26153. My favorite DE book is Ordinary Differential equations by William Adkins
    3
  26154. Very good sir .. iam from iraq.
    3
  26155. Every engineer ever learned from this book 😀
    3
  26156. Boxes keep your scribbles organised.
    3
  26157. Hello i am from india make a vedio on books on number theory 😊😊😊
    3
  26158. ❤❤❤
    3
  26159. Just wow
    3
  26160. Unfortunately, I really need additional education for my current career goals, but because I'm ill and have to take very expensive medicines and may get unexpectedly ill and need surgeries in the future, I HAVE to work to maintain that insurance coverage so that I don't become homeless trying to afford my medicine. If I find something that lets me move forward towards a Masters even remotely adjacent to my field of study and also offers medical insurance as a benefit, then I'd be in a great place to try, but if those things are not both present, it will be VERY difficult to go back to graduate school. Medical coverage, which requires I keep my job no matter what (after /finding/ a job that will let me have that coverage, that is), is the absolute first and most important priority for me.
    3
  26161. Going to repost this since I commented on an old video. Hi, can you review the Hubbard vector calculus book? The title is “Vector Calculus, Linear Algebra, and Differential Forms: A Unified Approach “. I’m currently a bit hesitant to buy myself since it is $98 new and $34 for the solutions manual. People have been saying it is amazing and it has a full solutions manual to basically every other problem. I feel that I have significant gaps in knowledge since my calc 3 class used Stewart.
    3
  26162. Immediately googles “rolling plains” bc I’m so cultured.
    3
  26163. U saved my ass, been struggling wit the hw for a while…
    3
  26164.  @AK-ox3mv  It's a tip. If you look below the video on desktop there is a "Thanks" button where you can donate to the channel.
    3
  26165. Do you think a guy can have the same knowledge as a math major just by self learning and through these book and how much time do you think its going to take to do the same
    3
  26166. Great videos. I am a math student at university, and I just discovered your channel. Keep the good work. Best regards from Argentina!
    3
  26167. I appreciated the bird 🐦
    3
  26168. Thicc Maths
    3
  26169. Sir is there any advance book than serge lang's book for high concepts in abstract algebra? Plz sir tell me
    3
  26170. Any questions? -Yes. -What's your question? -May i go to the bathroom please?
    3
  26171. Shouldn't a few optimization, game theory books be suggested as well? Btw great video!
    3
  26172. I’m a good puzzle solver but I’m intimidated by math especially because I don’t have any friends or anyone to ask questions or challenge. But I do believe I can master a specific branch. I wish we had a maths discord so we all can work and get to know each other.
    3
  26173. Thanks Sir...
    3
  26174. Personally I think that whilst not perfect, grades are the best measure of understanding of the content you're learning. And where you're taking classes that build upon the previous one's content, it's important to do as well as possible and to gain as much knowledge from your time spent there, to give yourself the best opportunity to succeed in the successive classes.
    3
  26175. you are so helpful
    3
  26176. So much ❤
    3
  26177. Thank you so much. I would have no clue without your help.
    3
  26178. what a legend
    3
  26179. Having a undergrad level course on real analysis is enough to start studying functional analysis?
    3
  26180. What I am currently doing with Calculus I is, I bought a book and I switch between videos and the book I have. With this covid situation this has proven to me the best way of studying for myself!
    3
  26181. Those people that learn faster also dont learn social skills as much as most people. That why they are sometimes weird, and that affects their life and future. We need equilibrium in everything. And about math, my theory is that parenting is the most influential aspect of someone learning a new skill. That is why you need to trust yourself, anything can be learned with enough time and patience.
    3
  26182. Sometimes math is logic but most of the time it's art
    3
  26183. I love videos like this. Clear handwriting, none writing on black screen in which some colours get lost as in the eyes of colour-blind or night blind.
    3
  26184. I thought Pre Cal was easier than College Algebra 😅 thanks for the video though
    3
  26185. Please review Paul Nahin's book! Just pick any one of his. They are awesome!
    3
  26186. Aesthetic math YouTube is certainly a niche and I love it
    3
  26187. Thank you so much! This video helped me a lot.
    3
  26188. Thank you so much for posting this! super clear and easy to follow. You're definitely helping me along with my stats course :)
    3
  26189. I actually have had a professor say that the textbook was optional, but we should buy it if we were going to take the next two in the series
    3
  26190. It already did….it was I was waiting for. 👍🏽👍🏽👍🏽👍🏽👍🏽
    3
  26191. I really like the explanation although I didn't need most of it. It is just he doesn't assume that everyone knows everything. I hope you do more course playlists. I followed your real analysis.
    3
  26192. I am looking forward to reading the pre calculus book!
    3
  26193. Books for arithmetic (Pre algebra), beginner algebra.
    3
  26194. 👌👌✌✌👌👌👌👌
    3
  26195. 22 December 1887 - Birthday of greatest mathematician - "Srinivasa Ramaujana" . Its National Mathematics Day in INDIA.
    3
  26196. I prefer pens because when I used pencils, I couldn't see the equations as well, and because I need glasses, that just makes it worse. When I use pens, it helps me focus and shows me the equation more clearly. Never mind the fact that it won't let me erase my mistakes, meaning I can learn from them and reference them so I don't make them again in the future
    3
  26197. @7:50- 7:55- VERY true 😂
    3
  26198. I'm a math major in real analysis and differential equations 1 at the same time.... I miss calc 1
    3
  26199. whether you have enough talent is binary. after that it's all emotional. if you have the natural talent and can easily find a solution, you can likely break down the tasks as well. quality of execution is a matter of practice. that practice is only possible with emotional security and purpose. discipline is emotional stability and resolve.
    3
  26200. I wish our Professor give us an access to Mymathlab for an StatCruch. The would be easier for us to do the homeworks. Thank you and you are life saver.
    3
  26201. This was a year ago...
    3
  26202. I Just typed the titel Into Google and the first thing i found was a free pdf version. No kidding
    3
  26203. Good morning 🙏
    3
  26204. Relatable.
    3
  26205. Please sir review physics and calculus book 📚🙏🙏🙏 from 18th century 19th century and late 20th century .
    3
  26206. Calc 2 maybe not by a lot, my experience with Calc 3 had a ton of material, but having to construct limits of triple integrals on your own might be the most difficult task of all three.
    3
  26207. Hi
    3
  26208. Absolutely true
    3
  26209. This video has been most assuredly helpful to me! THank you!
    3
  26210. Engineering is pain. Just got 37% on my design test using all that physics and maths. And I’d say I’m one of smarter students.
    3
  26211. hi, did u post all of calculus 3 lectures? thanks.
    3
  26212. Can I self-study this book?
    3
  26213. Buy low and sell high
    3
  26214. I sort my books by size: by depth. It makes it very easy to keep them in order! :)
    3
  26215. This summed up calc 2 for me. It's amazing I passed.
    3
  26216. Who is the publishing company?
    3
  26217. Takes a break after doing some calc 2 hw, gets roasted for doing homework on a Saturday night, laughs in pain
    3
  26218. Iam from India your videos are really simple and clear even advanced topics looking simple. Thanks for sharing your knowledge. I think this youtube in future so many so many students who are pursuing math as subject in their graduation. I think your my best online teacher with short videos. Thank you😀😀😊😊👌👌
    3
  26219. this video is gold. also if you ever go bald you'll look just like Jeff Bezos :D
    3
  26220. If f(x) is any function, and its anti-derivative is ln(g(x)), if we multiply f(x) by (g(x)/g(x)) to get (f(x)g(x))/(g(x)) the derivative of the g(x) will be f(x)g(x). So the only reason we would know to multiply top and bottom by sec x + tan x is if we already knew ln(sec(x)+tan(x)) is the answer. I think we might as well guess the answer is ln(sec(x)+tan(x)) and differentiate it to verify it is the anti-derivative (which is what Spivak does in his Calculus book). If we think of sec(x)=cos^(-1) (x), and recall that when we have an odd power of cos (or sin) it often helps to pull away cos x dx and convert the remaining even power of cos to an expression involving sin. So 1/cos x dx = (1/ cos^2 x ) cos x dx = (1 / (1-sin^2x)) (cos x dx) = 1(1-u^2) du. The problem with this is that we usually haven't covered partial fractions before encountering the integral of sec. So I tell my students to memorize the anti-derivative, and promise we'll show how to derive it later, after we've studied partial fractions. Also, it's a bit of work simplifying the answer so it looks like what we're used to. My favorite method to find the integral of the secant is to use the hyperbolic substitution, tan x = sinh u, sec x = cosh u. Then dx = cosh u / sec^2 x du = cosh u / cosh^2 u du = 1/cosh u du, the integral of sec x dx = cosh u / cosh u du = du, and the antiderivative of sec x is u = arcsinh(tan x).
    3
  26221. Thank you. Such a powerful perspective.
    3
  26222. Love the MTG coasters
    3
  26223. Where's differential geometry in this
    3
  26224. Accept failures. Don't reject failures or take seriously. Failure might form the basis for your success.
    3
  26225. Thank You I'm very appreciate your advices. I'm 23 y.o. and in the second year of study at the university
    3
  26226. bro it's ok to blink sometimes but good content :D
    3
  26227. so much content lol
    3
  26228. Thank you, you are the best.
    3
  26229. how would you execute this proof for a piecewise function?
    3
  26230. Claire Miller well I’m not sure but if there is count me in
    3
  26231. Very good information
    3
  26232. "Im being abusive here" 4:10 yea no kidding
    3
  26233. Omg! Thx so much!!!!!
    3
  26234. This seems like an awesome book. I’ve had some courses based on Grillets Algebra book, which also covers nearly everything and it’s pretty good. But seeing the table of contents for this one, I think my life could have been a lot simpler if my courses where based on this book insead...
    3
  26235. Im a bit surprised there is only a Thomas textbook as I have a Thomas/Finney textbook going back from like 25-30 yrs ago....re late 1980s to early 1990s. Maybe they split and got back together as authors....dont know. I have heard so often that the Spivak textbook is the father of fathers re texts on Calculus. Even tho i do have a copy, havent really gone thru it and is now packed away in my boxes.
    3
  26236. CHECK OUT EXAMS LIKE RMO, IOQM AND JEE ADVANCED
    3
  26237. THANK YOUUU
    3
  26238. “For twenty points of extra credit, write your name on the test” LOL.
    3
  26239. you're awesome dude
    3
  26240. I was going to watch this video to learn about math, but the problem is, I don't know what "zero" means. Maybe this video isn't for me...
    3
  26241. you forgot: cop-out of all the group work and still receive the marks
    3
  26242. I would encourage this person to read a bit of Bertrand Russell and learn to love leisure. This world will take what it can get from you and it won't stop until you say 'when'. Clearly they have a drive and a passion, I would encourage them to defend it and make sure it stays their passion and doesn't morph into a hollow obligation to please others.
    3
  26243. Good Job Professor
    3
  26244. thank you
    3
  26245. Looks like the publisher made the decision to split Knapp's big algebra book into two pieces and called them "Basic Algebra" and "Advanced Algebra" for marketing purposes.
    3
  26246. what I love about you is that you are brutally honest.
    3
  26247. I appreciate your videos on how to deal with math, but you should consider posting more videos about math problems. It's more helpful if you have a better way to explain unlike many college professors do.
    3
  26248. I have the instructor manual of this 9th Ed 2006 pdf
    3
  26249. Would you recommend this to a undergrad?
    3
  26250. Learning math with someone who understands more than you is good. Learning math with friends is better. Learning math with others who are as lost as you are is The Best.
    3
  26251. Thank you MS!!
    3
  26252. Yes! Falafel is my next stop.... on my way! Thanks a lot for the idea mate!
    3
  26253. Thanks
    3
  26254. Epsiloooon :D Nice video, thanks man.
    3
  26255. Absolutely agree from all points .. Studying maths with urself is always more helpfull instead u r depend on any others..
    3
  26256. Thanks ! I´m trying to get better at proof writing so this is really appreciated, and this year im taking linear algebra at college so it´s x2 times better !
    3
  26257. Have you ever seen the movie 'Back to School' with Rodnie Dangerfield and Sam Kinison? "It feels like I just gave birth to an Accountant!" - Every Student after a math exam
    3
  26258. Not sure where you’re living but better buy everything you can. Here in Europe shops are empty and we aren’t allowed to go out home without reason They claim this situation might last months Thing is that US is not so far behind these drastic measures unless they want millions to die. Better go all in now you can
    3
  26259. Here is a question that I hope you could offer insight upon. What is your opinion on pursuing an undergraduate mathematics degree on a part time basis. What, if anything, is missed out on? Could it be a disadvantageous approach for critical reasons in comprehension? Asking for a friend lol.
    3
  26260. If zero doesn’t exist then make that $1000 into $1.
    3
  26261. Your videos are awesome! But I think you are missing another side of mathematics, the Olympiad Mathematics ..... It's the creative art of problem solving and challenging as well! I have also watched your Calc 1 course in udemy, and it was pretty good ;)
    3
  26262. I dont have access to the first book , is there any soft copy available ? I searched on google failed to find.
    3
  26263. From 0:49 to 1:10 you absolutely killed me😂😂😂
    3
  26264. are you even real?
    3
  26265.  @TheMathSorcerer  I'm also from Germany. And I think it also depends on your state. They say here in Bavaria it is the hardest degree (Highschool). But yes, I think everyone who goes to Gymnasium (The school, which degree gives you permission to study at a university) must do Calculus. But I have to add that we have a 3 school system, so not everybody goes to Gymnasium.
    3
  26266. Same in india too. We learn abstract algebra and real analysis too in 1st year.
    3
  26267. Bro I love you Idk what to say
    3
  26268. I am losing my brain cells😭
    3
  26269. Wow, man, if you were my idol back then, WOW, I mean, total admiration now
    3
  26270. nice nice
    3
  26271. Can we use ratio test here, so then that becomes limit n tends to infinity, (1/n^5)*(n^4) = limit n tends to infinity (1/n) = 0?
    3
  26272. “Old age is a ceremony of losses. When I lament and darken over my diminishments, I accomplish nothing. It's better to sit at the window all day, pleased to watch birds, barns, and flowers. It is a pleasure to write about what I do.” --Donald Hall
    3
  26273. How many times does he blink? Man, that's harder than Math lol
    3
  26274. 8:50 lmao
    3
  26275. "Hey, Cinderella, go find yourself a fella." ---Popeyes, Blood In Blood Out
    3
  26276. 💀
    3
  26277. Isn’t any body going to mention how the beard looks good on The Math Sorcerer
    3
  26278. Thank you for the motivational video sir :)
    3
  26279. CS IS BEST WITH MATHS YOU NEED ONE MORE DEGREE FOR GETTING A PROFESSIONAL JOB SO CS IS GOOD
    3
  26280. Is math becoming easier and easier the more you understand and know the basics/prerequisites? I'm just really curious about it.
    3
  26281. Thanks so much for you..
    3
  26282. The symbol you were calling "Pi" is NOT "Pi" - It is the Product symbol ( which may have another name, but it is not Pi ) I am an 87 y.o. retired electrical engineer who has never heard that symbol called Pi.
    3
  26283.  @TheMathSorcerer  All these years of applied math in engineering and I never called the product symbol by its correct name - even this "Old Dog" can still learn - Thanks for the input ( Retired from engineering, but I may still be able to win a couple of "Bar Bets" with this !)
    3
  26284. I was studying Physics and I used to admire my math teachers, who seemed to know some sort of secret with all those sophisticated and suggestive mathematical tools... One day, in my third course, I was at a tutoring about Differential Manifolds.. and I though "It would be a dream come true to do Maths once I finish Physics..." You must be careful with what you desire... because It comes true! Haha! Next year I moved to a different city and I change my bachelor degree to Maths... I've enjoyed the way mathematicians work with concepts.. I felt really confortable doing Maths.. I guess I relate to that way of working: the rigor, the seriousness, the establishment of the "rules".. Physics is a lot whole different, but extremely magical and suggestive too: Quantum, Gravity... Now I'm resuming my Physics degree.. I love Physics, and It's a whole lot easier once you master Maths..
    3
  26285. thats a really cute bird
    3
  26286. I don't k ow math I failed In precalculus math left school, teachers said your type is not for mathematics, i wat h this channel and think might be possible for my type. Well
    3
  26287. What open problems in Mathematics are you interested in? Where do you get your books at such good prices?
    3
  26288. Thank you for the videos as always!
    3
  26289. Do you have a playlist or some videos about a kind of “introduction” of proofs? I mean, do you have videos where you teach to do proofs? The thing is that I don’t know how to do it, but I really want to learn all that stuff (sorry if is there something wrong in this comment, English isn’t my native language )
    3
  26290. Thanks man, you opened my mind
    3
  26291. Thanku it's help me
    3
  26292. Nice thank you 😊
    3
  26293. I think self-study is like removing the training wheels on a bicycle. Its scary in the beginning but it boosts your confidence and takes you to the next level. I self-studied precalculus and calculus. My goal is to finish Differential Equations and Real Analysis before I enrol in graduate school for a Masters in Applied Mathematics. Although I had a bit of background on the subjects, when I self-studied them, I realised there were massive gaps in my understanding. Self study has also helped me connect the dots. Now I understand how limits, max, min, L'Hospital's Theorem and concavity combines into enabling us to draw functions. Not only can I do maths better, I even understand them better. I mainly rely on books, but when I am stuck, I watch videos on Khan Academy or other Youtube videos. There are so much resources on the internet that not knowing anything these days is a choice, not a limitation. But I must caution that one should initially buy a good book on the subject that lays out the topic chronologically. This establishes the foundation. And then proceed with each chapter. It requires a lot of patience because self-study initially is frustratingly slow. Sometimes a single section on polynomial could take more than 2 weeks. But that's how we all start. Good luck to everyone pursuing self-study. And as always, thank you Math Sorcerer for doing these videos. Not only are the videos informative but they make me feel like I am a part of the math community.
    3
  26294. This video is gold.
    3
  26295. YutakaTaniyama (1927-1958); Japanese mathematician, working on automorphic properties of L-functions of elliptic curves over any number field; on November 17, 1958 he wrote: "Until yesterday I had no definite intention of killing myself. But more than a few must have noticed that lately I have been tired both physically and mentally. As to the cause of my suicide, I don’t quite understand it myself, but it is not the result of a particular incident, nor of a specific matter. Merely may I say, I am in the frame of mind that I lost confidence in my future. There may be someone to whom my suicide will be troubling or a blow to a certain degree. I sincerely hope that this incident will cast no dark shadow over the future of that person. At any rate, I cannot deny that this is a kind of betrayal, but please excuse it as my last act in my own way, as I have been doing my own way all my life". Taniyama was the reason why we have a proof of the Fermat's last theorem today :)
    3
  26296. I love you❤️❤️❤️💕💕💕
    3
  26297. This playlist has been amazing! I'm still using it for my exam prep. I have my final exam next week for DE, so are there any last tips you're able to provide? I've been studying at least 8 hours a day, watching your vids, doing examples from the textbook and working through many questions from the exercises. I do feel quite confident about the exam but just want to get some advice :) All the way out from South Africa :D
    3
  26298. Thanks very much for this. Absolutely mind blowing.
    3
  26299. There are rumors in streets that there is a book, which teaches calc III without Trig... 3:08
    3
  26300. Buying a calculator 🤤
    3
  26301. This is so true. Valuable advice.
    3
  26302. Unfortunately I think there is something called genetics especially the top 1% for everything arts, sports,academics you name it.
    3
  26303. So true
    3
  26304. Back in the day comic books would often have silly martial arts ads sometimes prefaced with 'FEAR NO MAN!!!!!!' Maybe a 'FEAR NO MATH!!!' is in order :D
    3
  26305. Leaning is fun 💪😎🎸
    3
  26306. Remember this your not your body or your mind it's your boat your vessel meditate in imagination how you would like to be act accordingly. Golden rule in THOUGHT life as well out what's in so good in good out clean. Other than that walk awhile
    3
  26307. You raised such an important point. In predicting learning and future job prospects, grades matter. However, practically there are more aspects to performance not captured by exam grades.
    3
  26308. Great review!
    3
  26309. Thanks
    3
  26310. I solved it the same way on my own! Have you ever demonstrated any strong induction problems? I don't think I ever understood that process quite right.
    3
  26311. Calc II was WAY harder than 1 or 3. For me and my class, it was due to all the trig identities we had to remember and know when to employ. My professor would assign homework assignments that would take literally 20 hrs to complete. It was ridiculous. Didn't help either that it had been 6 years since I had taken trigonometry.
    3
  26312.  @coohip  Thank you! I learned something new!
    3
  26313. the title of this video sounds interesting I'll make sure to watch it tomorrow
    3
  26314. very easily they edit math books, but it is time-consuming and even difficult to solve all the problems
    3
  26315. Perhaps get a bachelors in math and earn your masters in some engineering field.
    3
  26316. NERD 🤓🤓🤓🤓
    3
  26317. Thanks! The videos are useful
    3
  26318. What level of Math is this?
    3
  26319. DAMN, THANK YOU. YOU'RE ALL I NEEDED, VOICE OF AN ANGEL.
    3
  26320. The video where Sorc finally turns into a pirate! Arrr!
    3
  26321. Yes
    3
  26322. As someone in the same boat as you, that is absolutely the correct thing to do. Time crunches are the worst time to learn ever.
    3
  26323. Nice
    3
  26324. This is a sección great ! Good video!
    3
  26325. Ive got a question that I'm being curious about and it's how many times should I practice a certain math topic a week ?? And how much time should I take or spend in practicing that topic ? And thanks .
    3
  26326. Visual Group Theory by Nathan Carter is a beautiful presentation. One of the best math books I own.
    3
  26327. You a true homie.
    3
  26328. Really funny video! I just bursts out in laughter... Anyone reading this comment have a phenomenal day!
    3
  26329. Ah yes.... one of the many involutions.
    3
  26330. I love copying everything the professor writes on the board, then getting home and saying, "What the hell is this?!"
    3
  26331. This is kind of unrelated to the video, but I am very happy that I just finished this semester with A's in my first two proofs based courses: Advanced Calculus and Number Theory!
    3
  26332. Good stuff. Some other points I've been mulling over: 3. Consider the value of your degree. Since you are paying for college, you'll want to maximize your chances of getting a job and getting paid well. (This is to say: you want to maximize your return on investment for your degree.) Some majors and degrees are more valuable than others. A BA in psychology is not valued well (for many reasons), whereas a BS in engineering is. This is not to discourage anyone from studying what they want, but to make them aware that the major they choose matters beyond the job and if they enjoy it. My recommendation is that: study what you enjoy (for me, that is psychology), and then study something that is valuable (but you would still enjoy, like mathematics).
    3
  26333. You've helped 500,000 people.
    3
  26334. Thank you so much youre a life saver!
    3
  26335.  @TheMathSorcerer  yeah definitely theres loads of really interesting questions youd love it!
    3
  26336. Cheers for this you absolute legend!
    3
  26337. Thanks a lot for the clear explanation. You made my day :)
    3
  26338. 🤘👍🤘
    3
  26339. Bro for real? This guy did such a good job of explaining it and he gets only 35 likes over 7 years? YouTube algorithm is doomed
    3
  26340. I took up slide rule collecting a few years ago, having never even used one in my life before that, they're not that hard to use once you get the knack for them. There's a pretty good book called 'A Manual of the Slide Rule: Its History, Principle, and Operation' by Thompson that is still in print if you're interested, not to mention numerous older out of print sources still available on e-bay if you want. I've become a big fan of the slide rule in the few years I've been using one and use my Faber Castell 2/83N at every opportunity. They, along with log tables, force you to think about a problem in a way modern calculators do not and I've become convinced these things should be required for educational purposes and that calculators should be relegated to the professional realm.
    3
  26341. Your videos are like a light in the darkness for people who are self-studying. Thanks for the wonderful video.
    3
  26342. Isn't it true for being good at any job! Live your passion, put in hours/effort, learn from (and possibly fix) your mistakes, and use all the resources you can gather. No need to be cocky about it!
    3
  26343. Sir you saved my life
    3
  26344. Oh come on. You have to use the Dewey DECIMAL system!!!!
    3
  26345. Sir i am just starting with calculus but can you tell me some real example where i can use calculus ...?
    3
  26346. please don't burn all your math books
    3
  26347. I have a intellectual disability and I have difficulties learning the concepts of calculus like for ex limits Ms what’s your advice on learning calculus
    3
  26348. thanks you helped me
    2
  26349. great explanation by the way!!!(:
    2
  26350. Thanks so much for your videos!!! They've really helped me a lot.
    2
  26351. 2
  26352. Time pass with Creative Minds I know I’m 3 years late and you probably don’t even remember typing this comment but no, that proof would not be valid unless you have already proven the cancellation law. The cancelation law relies on the veracity of a unique identity element and therefore it would be circular reasoning. By asserting the cancellation law, you are already assuming a unique identity element, unless you found a way to prove the cancellation law without resorting to the uniqueness of an identity element.
    2
  26353.  @randomblueguy  one of my teacher proved it this way, Do you feel its correct. I doubt it let e1 and e2 be two identity elements by definition a * e1 = a* e2 apply inverse on both sides inverse1 and inverse2 which gives two identities e1 and e2 (a*ainverse1) *e1 = (a*ainverse2) * e2 e1*e1= e2*e2 e1= e2
    2
  26354.  @randomblueguy  great. I have graduated long ago. I am a software developer. This was one question kind of intrigued me for a while. When two professors disagreed on this. One a senior professor was sure that cancellation law proof is not required to uniqueness of the identity element and used the inverse law as I depicted earlier while the other thought its required
    2
  26355. @The Math Sorcerer Wonderful, thanks. That was exactly my point, you can technically prove the cancellation law without really STATING the uniqueness of an identity element, but you would be implying it because it is a requisite and vice versa. In your proof, you did the opposite, you implied the cancellation law without really stating it, then used it to prove the uniqueness of an identity element. I think having one mandates the other and technically when you try to prove one you would be implying the other even if you did not explicitly state or assume it. Technically, that would not be circular reasoning, correct?
    2
  26356. @The Math Sorcerer You’re welcome, I didn’t really think you would reply to a really old video but here you are lol. I greatly appreciate the dedication you put to spreading knowledge.
    2
  26357. Love the hair! Also that your examples make sense, even if I have limited or zero background in what you're doing. Great work!
    2
  26358. A comment with nothing?
    2
  26359.  @TheMathSorcerer  love u, thenks
    2
  26360. big thumbs up!
    2
  26361. 🤩🤩
    2
  26362. ty
    2
  26363. How did you post a comment that doesn’t say anything?
    2
  26364. Oh bro most of this is regular stuff in graduate physics
    2
  26365. When I studied CS at the university in mid 70's our professors leaned heavily on the works of Knuth. It was de riguer even then. Knuth is still around.
    2
  26366. Quality content 👌
    2
  26367. Im graduating in applied math next semester. At first i wanted to persue a phd in mathematics. After 4 years I've decided im gonna study a masters in financial mathematics. LOL. all that pure math rigour is a lot to take in. Kinda feel like I failed tho.
    2
  26368. Sub!!!
    2
  26369. I need advice about where to buy those books? Because new copies are pretty pricey.
    2
  26370. One should solve x^2-x>=0 by graphing the parabola and locating where it is above (the including) the x axis. Since x=0,1 are solutions to x^2-x=0 and its upward facing its easy to see that x<=0 or x>=1.
    2
  26371. hahaa great i love this
    2
  26372. There is also a second retake exam if you fail the next one. It will be 4 dimensional
    2
  26373. thank you very much!!
    2
  26374. I wish I could study in the morning I missed the morning so much
    2
  26375.  @TheMathSorcerer  Even doctoral degree students struggles and can't solve the problems. It's the cradle of Abstract Algebra. I got the solutions of almost all the chapters. This is a book that must be read with many other books. It is NOT easy. It is THE Algebra book.
    2
  26376. thanks now I can do my homework
    2
  26377. I am 71 and got a math finance PhD in the previous millennium. In my retirement, I’m enjoying books on abstract and linear algebra. I try not to get frustrated how slowly I catch on compared with my younger years. But recognizing that limitation, I can proceed to enjoy my studies.
    2
  26378. STEP 1: Get obsessed on a subject matter STEP 2: Be creative and original STEP 3: Develop crazy hair
    2
  26379. youre the best
    2
  26380. Disclaimer: this video is not sponsored by Nike.
    2
  26381. I majored in physics and i want to take a second major which is math after finishing the freshman year but there is a rumor that our university cancelled that system. I hope that is not the case otherwise I’m screwed. For me, I like those two subjects at the same level but i decided to take physics first because i read too much math
    2
  26382. L-Theanine. It's an over the counter dietary supplement that helps improve focus. More to the point, it seems to work synergistically with caffeine in some fashion. A lot of people report that it helps blunt the negative side effects of caffeine, so you can get the good part of caffeine (improved focus) without the "caffeine buzz" stuff. There are a handful of other supplements that people claim have similar effects. There's a whole world of so called "nootropics" out there. The only one I personally use is the L-Theanine, but see http://nootropics.reddit.com/ for more information.
    2
  26383. A lot of books, math books. Like them. Can I? Hehe
    2
  26384. Ooh about to start this section, I will come back.
    2
  26385. Looks like a beautiful book. As a calculus fan i'll check it
    2
  26386. Hi I don't know why some times the upper edition changethe nine editon is Addison wesley but i suppose that the whole is almost the same Thanks
    2
  26387. I'm going to be a rebel here, I much prefer CASIO CG50. Far easier to use than the Texas calcs
    2
  26388. Why am I watching this I am not even in university yet (also you should have talked about grad school too)
    2
  26389. It's happening everywhere.Can't say for how long this thing will go on.Stay safe.
    2
  26390. Bahahaha
    2
  26391. Beautiful
    2
  26392. I have never seen a mathematical equation I cannot understand (at lest most of them) but the problem is remember how to solve them
    2
  26393. Amazing thankss
    2
  26394. Balance is failure !
    2
  26395. GIVE A FIELD METAL TO THIS AWESOME GUY OMG
    2
  26396.  @TheMathSorcerer  I think I see what you did after trying and failing a few times, thank you. Your series has been really wonderful so far, and its helped alot! Much love from Italia! Stay safe!
    2
  26397. You got another subscriber! Thanks
    2
  26398. Limaçon is actually pronounced “Lima-Son”.
    2
  26399. I came out of high school and i know nothing 🤦🏻‍♀️
    2
  26400. I havent taken this math yet but this is cool
    2
  26401. Thanks helped me alot!
    2
  26402. If power is 5 then???????
    2
  26403. Placebo effect
    2
  26404. Professor comes in the room and says "Good morning Class !" The college students say "Good morning". Grad students write it down.
    2
  26405. Hello, you are so right ! I am a german theoretical physicist with MSc(1979) and PhD (1982) at very famous instituions in UK and Germany. Every day since 20 years I solve math@physics problems, now aged 67 I am better then ever!!!! Math@Physics is like a drug and once really infected it will last a lifetime!! I am a good example. I taught individual students during now 20 years. I saw and used very many math@physics book and your book recommendations are very good. I started math studies with Walter Rudin and Serge Lang. All the best !
    2
  26406. Thank you so much 😄😃
    2
  26407. Talk more about these topics please
    2
  26408. I think the best thing to do after a successful work is a dance.
    2
  26409. I always thought symbol or no symbol, what’s the difference. Why can’t I concentrate. Very often I get caught up on notations. I think it’s psychological.
    2
  26410. smurfing
    2
  26411. I'll add this, for now, I'm about to take astrophysics next year still don't know anything about calculus.
    2
  26412. He made quite clear it was untill a undergraduate level.
    2
  26413. I find this video extremely inspiring.
    2
  26414. >Me watching this with literally zero math knowledge at law school
    2
  26415. When you say get lots of books do you mean multiple books, do you mean for example having 3 books for calculus 2?
    2
  26416.  @TheMathSorcerer  ok,thanks
    2
  26417. Absolutely correct. You cannot be in the 1 % of anything if you hate what you have to do
    2
  26418. Thanks so much. You should write a book!
    2
  26419. Great advice,as I can relate to what the math sorcerer was saying in this video, you need to move on.
    2
  26420. SUCH a good reminder.
    2
  26421. love u, thank you i needed this
    2
  26422. thank you
    2
  26423. Early exposure helps, because many children are sponges. As long as you, as a parent, do not fall prey to the "must-vouchsafe-my-abilities-to-elected-and-appointed-experts-because-that-is-normal-in-our-society" rhetoric, you might surprise yourself. Simply make learning fun for your children. As for yourself, enjoy whatever you study. If you force it, the stress will drive you nuts. Stay happy!
    2
  26424. Hi math sorcerer. I love your videos. I have a question. Should I learn proof writing before studying linear algebra?
    2
  26425. My beginning point is certainly unusual: I was studying the philosophy of Hegel and, in an attempt to understand a particular section (in the 'Logic') on the math of the day, I taught myself calculus.
    2
  26426. Too much is not only doing lots of maths without any break (or not enough breaks from maths) but it could mean the person is burnt out from doing a lot 'challenging' math-problems back to back, thus spending a lot of time on a problem, then spending even more time on the next 'challenging' problems. Of course, what is challenging to one student might not be as challenging to another.
    2
  26427. Mathematics never ends 😐😐😐
    2
  26428. That's a very very very good piece of advice.... Worth it in every seance
    2
  26429. I'm smart enough to know that I am dumb -Feynman
    2
  26430. Thanks sir
    2
  26431. That is how you write the Table of Contents …. Original 💯
    2
  26432. I love your channel! Thank you for sharing such valuable personal experiences and realistic advice.
    2
  26433. Beautiful
    2
  26434. That thumbnail😂. Get serious on us, Sorcerer. Only joking, great video
    2
  26435. Ok but this guy doesn’t even seem that bad.
    2
  26436. *Laplace
    2
  26437. math is not a word! maths would be better ! mathamatics == plural goddam yankies! (chuckle)
    2
  26438.  @TheMathSorcerer  😂😂❤
    2
  26439. For a "handbook", it's a bit much for one hand.
    2
  26440. Thanks.
    2
  26441. I really enjoyed the video but this books are unfindable in Europe, any solution?
    2
  26442. That's so hilarious 😂😂
    2
  26443. I had fun with number theory! The first class I took had a professor who was not kind to his students and it turned me off of number theory as an entire subject. I withdrew from his class and took it with another professor who was a LEGEND! She made the class feel like it was being invented before their eyes. I recently took the final (I took all my finals early and just cancelled weekends because of the coronavirus) and I feel really glad that I learned it!
    2
  26444. Ek no 👍👍
    2
  26445. "Abusive notation"
    2
  26446. Hey iam passionate to learn higher math but afraid of abstract concept
    2
  26447. Courage means acting on stage while fear is watching in the audience. Will you make it your best act? 🙂
    2
  26448. Saw this at 2:34, I’m on way to claiming my wildest dreams!!!
    2
  26449. good explication
    2
  26450. Wow, I only have one of your books: Baby Rudin. I didn't recognize any of the other authors, except two who I have other books by. First is Angus Taylor. I have his introductory calculus book and his book on functions and integration. Also I have Linus Pauling's book on the Chemical Bond. I wonder if I tend to buy older books where as you tend to buy ones published more recently. For example I have books by Hille and by Carathéodory on complex variables. Both are two volume sets published by Chelsea which has been absorbed by the AMS. One classic I have I bought at a used book store is: Théorie des Fonctions Elliptiques par MM. Briot et Bouquet, 2nd ed. 1875. The word holomorphe (holomorphic) was first used in this book. Previously, in their first edition, they used the french word for synectic which dates back to Cauchy. In Theory of Complex Variables by Reinhold Remmert there is a nice discussion of the history of the various words used for holomorphic, such as: regular, synectic, analytic, et cetera, and why the various words were used. I'm going to have to look out for the books you have. They may explain things better.
    2
  26451. My school shut down and we start online classes next week. Not sure how tests are gonna work. I'm in Real Analysis right now and we use the Moore Method so that will definitely be interesting.
    2
  26452. Thank you
    2
  26453. Lecture is an element of the set of {TOO REAL}
    2
  26454. Thank you, it helped a lot
    2
  26455. yes, i am in this situation now XD. i just force me to do many many problems coz i really really love math, especially you do many many proof problems, your brain will get so tired, this feelings is so weird, you know that you very very love math but just that moment you hate it
    2
  26456. I am studying a MSc in Physics and have been wanted to learn math in a deeper way for a long time. Now I have a nice guideline to start!
    2
  26457. Hello sir, Sir please make a video of this question please
    2
  26458. Book of Curves...😏
    2
  26459. Great👍👍
    2
  26460. Could you talk about the hardest math classes are based on perspective? Like which math classes are the biggest jumps in knowledge based on the prior class in the progression of math? I would be interested to know. For instance going from algebra 2 to precalculus algebra was difficult for me. However precalculus algebra to precalculus trig seemed to be easier
    2
  26461. 👍
    2
  26462. Thank you sir
    2
  26463. Thanks very much. I needed this badly. Right now struggling with vector forces for and against movement.
    2
  26464. Thank you 😊💞
    2
  26465. Love you from india
    2
  26466. Very helpful video sir ,thanks
    2
  26467. plis cheack "real analysis by jay cummings" really interesting book
    2
  26468. What if it’s a 4x2 2x4
    2
  26469. Thankyou so much sir.
    2
  26470. Thank you for the videos ❤️ ❤️
    2
  26471. U are awesome! :D
    2
  26472. Please do an example where you model a real world problem with a differential equation. Please do a applied calculus problem where you show how to use maxima and minima.
    2
  26473. I love the Math Sorcerer : )
    2
  26474. Jeffrey bezos
    2
  26475. Do you have any video on a proof-based linear algebra book?
    2
  26476. thanks for this so help ful
    2
  26477. Thank you this was very helpful!
    2
  26478. I like the thumbnail
    2
  26479. Mathematics ultimately derives everything from fundamental axioms, visualizations are learning aids for people that don't have much understanding of the formalism, at the higher levels you only need the formalism and visualizations can detract from it.
    2
  26480. I want to see both of you take these tests head to head
    2
  26481. What about teachers cheating off students? 🧐 Asking for an institution. (Jk)
    2
  26482. I fell for the nonsensical idea that math wasn't necessary for success in life. The fact that this idea is proliferated so heavily is a tragedy and is only pushed as an excuse for people to think they don't need to get good at math.
    2
  26483. thank you, this helps a lot right now:)
    2
  26484. True that. Though to be honest, I doubt many people would follow this advice because if one thinks they are working hard, it means it takes quite the effort on their part to do so and putting in more effort would probably only discourage them. Speaking from experience here
    2
  26485. Engelking is the best
    2
  26486. Have you considered referring to yourself as a Mathivational Speaker?
    2
  26487. Great video as always. Are you going to do a review on Folland's Real analysis?
    2
  26488. Sing that song 'Stars'
    2
  26489. Fantastic video! Thank you
    2
  26490. Hey there! Still need help with that?
    2
  26491. Happy New Year Witch, I mean Sorcerer! 🥂😀
    2
  26492. What kind of sorcery is this?!?! 🤯🤯🤯 this is awesome!!!
    2
  26493. Jesus Christ come Lord Jesus what is this thumbnail
    2
  26494. Lmaooo did he say I’ll take the hardest teacher at the end!!!????😂😂😂😂
    2
  26495. Thank you for this.
    2
  26496. and do every single problem you can find on the internet
    2
  26497. This is just to let you know that, we appreciate you.
    2
  26498. If you ever can't get back to college, you can always resort to self-studying at home. You CAN study anything at home and prepare yourself in advance. That is exactly what I am doing at present. What caused your depression while you were a student? Was it homesickness? Loneliness among peers? Debts and money worries? Gambling addiction? Peer pressure. Parental pressure?
    2
  26499. I think you talk more than required
    2
  26500. That’s funny... I have a metric spaces exam in 3 weeks
    2
  26501. I did. I did it through set theory and metric spaces by Kaplansky
    2
  26502. Wow congratulations on 100k subscribers.
    2
  26503. Nice one as always
    2
  26504. Why don't you let the camera stay on during homework? I think we could benefit a lot from it
    2
  26505. the world of math is so vast and big, i believe if you have a passion, you'll find a place to fit (engs, data, science, swes, analysts) and on the flipside, if you think you're good at math, you havent looked at a broad scope of maths remember at the end of the day, it all makes perfect sense u just have to see it for yourself 😂😭
    2
  26506. I'm very thankful 👍👍
    2
  26507. its very clear its all about the hair
    2
  26508. Please, what book are you going to recommend in terms of learning probability
    2
  26509.  @TheMathSorcerer  It feels good being able to get in touch with a whole Sorcerer. Thank you very much for all these replies.🙏🙏
    2
  26510. Gonna start learning probability
    2
  26511. Maths is more interesting than crosswords. How come you haven't caught any flu? I hope you don't catch any.
    2
  26512. 02:04 A beautiful mind ?? :D
    2
  26513. Great video
    2
  26514. Isn't time something that is selected for in IQ tests. Those who are FAST finish all the test, those of us a little slower not as many items. The first is tagged as genius, the rest of us, a little behind, gifted or smarter than normal, lol. Without the TIME dimension, many could finish or even solve for all questions--with enough time. So yes TIME is a factor. But there are many others as well, no? Another factor is mode of learning. Some are good at learning languages by just hearing and using them. Others need some grounding in rules, grammar, etc. Others are great mimics and so on. I know it was many years later that I came to understand WHY Calculus was invented, what it did, addressed. For me without this FUNDAMENATAL understanding the field was just a plethora of equations and techniques used to solve problems in a math book. Nothing but practice and endless memorization. My math teachers and texts NEVER thought to address MY issues but just plodded ahead with lessons and exercises, no philosophical interest in their own area? No WHOLE just the parts. I can't imagine that's how Newton worked it out.
    2
  26515. this is very impressive!!
    2
  26516. My greatest math accomplishment is completing statistics. I majored in a social science and want to go back to school to get a stem degree.
    2
  26517. I wonder if someone could restore the last one to better quality?
    2
  26518. Thank you!!!!!!
    2
  26519. Thank you
    2
  26520. Googling how to get my hands on speed now
    2
  26521. Eh, I'll watch this one later
    2
  26522. Thanks
    2
  26523. Hahaha Good one!
    2
  26524. I’m so very sorry Daniel. I hope things get better for you. I really do. I’ve been in a really toxic job for three years that has literally drained me of my energy, strength, and life force. I drive 2 hours per day and work 9-10 hours per day for a malignant narcissist. When I get home after 12 hours, I collapse every day. I lost a lot of friends because I have no time or energy to do anything. I’m too exhausted to do anything else. I have worked so hard that I’ve practically killed myself. I just cannot work harder. My mental health is not good after three years of being beaten down. I’m trying to figure out how to get out of this job so I can get my life back. Sending you positive thoughts. I hope things get better for everyone who is struggling right now. 🙏🏻
    2
  26525. Best math compition for undergraduate
    2
  26526. This book looks like the math books I had up into the mid-1980's. About 1985, books started leaving out critical parts of explanations, by the turn of the Millennium, they're all about showing kids how to solve the problems with a graphing calculator that they're going to turn in at the end of the semester and never see again.
    2
  26527. 😂😂😂
    2
  26528. En español porfavor 🙌
    2
  26529. Okay Einstein
    2
  26530. What is the cost where is it available
    2
  26531. 👍
    2
  26532. Many thanks for this Sir, also I love the shirt :)
    2
  26533. Wow following you since 30k
    2
  26534.  @TheMathSorcerer  no dont mind me, it was really easy to make And yes, another rat puppet would be so cool!!
    2
  26535.  @johubify  hahaha (:
    2
  26536. If you’re reading a textbook about linear algebra you should probably follow along and solve the problems as you read
    2
  26537. I LOVE math formulas. I collect them obsessively and shortcuts too. I store links to formulas of mathematics and physics in my Google Docs. Also, I collect colourful graphics of formulas for my digital scrapbooks and Pinterest. In my home library, I have 5 copies of "Formulae and Tables," the Irish book with 93 pages containing formulas for mathematics and physics. Approx. €5 each (roughly same in dollars). They are booklets used in the state examinations. I have few scribbled ones and clean ones. Besides, I always lose one and have spares. My relations always borrow books and later be reluctant to return them.
    2
  26538. AMAZING video! I'm sharing this to all my math friends!
    2
  26539. My advices: stop watching porn, instagram, tiktok, facebook, remove everything from your phone/laptop and start reading books, start simple (don't jump to mechanincal engineering first), take your library card , start with fantasy first, you don't like it ? try history, try biography, detectives you found something ? Nice congratulations it helped you to build reading habbit, now we can add something more difficult, what about management, human resources, psychology, politics, filosophy ? Add podcasts to your free time portfolio, (diary of ceo, lex friedman andrew huberman, those will lead you to another people). Now you mastered basic knowledge about things around you, let's try math/physics/coding. (For holy christ don't use coding books in library they are like 20 years old, use udemy first, 10$ course for c# development will not kill you (buy 100$ courses disconted to 10, from my experience those are the best)).
    2
  26540. Calc 2 test tomorrow, wish me luck!
    2
  26541. Me encantan tus vídeos!! Podrías hacer un vídeo explicando el principio de fuerte, explicando las diferencias con el principio de inducción normal. ❤️❤️❤️
    2
  26542. Este pequeño momento de mi vida de llama felicidad..
    2
  26543. Man, I just get inspired by your positivity. You're great, keep it up!
    2
  26544. Nature videos are amazing
    2
  26545.  @stochastics7643  there's a lot there to break down. I'll start with the context the original post was written under. Assumptions: Audience is fresh out of American high school. Audience has zero work history in a technical field. College to be attended is an American college. 99% of jobs that exist do not involve high level physics. With those laid out, I'll try to address each issue. Let me know if I miss one. (Mobile doesn't allow me to view your post while I type) Fluid mechanics: could easily be argued as a subset of newtonian physics. GPS: is also a subset of newtonian physics. If there has been a new break through that doesn't involve trigonometry and precision kinematics I'd be interested in reading about it. Moder material science: I would argue is more a subset of chemistry than physics. But still, very much doable on your own without formalized education. Especially since it is very experience heavy field still. Quantum computing (I'd like a link to China's solution if you have it) is the most recognized field where modern physics can be applied. But, I still disagree with Bohr and side with Einstein in that all physics should have a relationship that is more easily explained. If you're a physics guy you'll know what I mean 😏. Hope I covered it all and welcome honest discussion.
    2
  26546.  @stochastics7643  P.S. I did miss one point. The "all you need is newtonian physics" is not my quote.
    2
  26547. Half a million subs❤ Math's fan 😎
    2
  26548. People, please, stop abandoning your dreams and going to CS just because the money. CS is not cheap thing you can go just to closw your month. You must like it too and it is science too. The progress in CS is made using math itself.
    2
  26549. You are my hero <3<3<3<3<3
    2
  26550. Watching this after nearly giving up on Calc 3 hw is making me feel a lot better. Time to make a plan and get back into it to ace that final.
    2
  26551. My problem is every time this guy reviews a book, I want to run out and get it. And PDFs don’t have the same aroma.
    2
  26552. I skim the Table of contents and look for the topic of interest. I'm mostly using the books as reference, when I need to recall a definition or a precise formulation of some result and check the proof, perhaps. When the book piques my interest, I might read the introduction or find out more about the author(s) and all that, when I have time. As for mathematical content: it doesn't happen often, but monographs may contain mathematical errors. While it is good to have them for reference, it's still a good idea to check the proofs of theorems you want to use.
    2
  26553. Mozart👌😘
    2
  26554. Thank you bro.
    2
  26555. PersistEnce ... 🙂 Thanks for the motivational clip!
    2
  26556. I have only A‘s and B‘s in 12th grade math :) but i still clicked on this video
    2
  26557. you seem really cool and dedicated to your work :D (subbed)
    2
  26558. He really thought he was just going to get away with putting a video of my math class up there
    2
  26559. The title is actually wrong, there is no finish for maths
    2
  26560. Years ago I got used copies of Tom Apostal's Calculus Volumes 1 and 2 for really cheap at a library book sale. I saw them and I said "I gootta have those". I paid at most 5 dollars for the set.
    2
  26561. i love your teaching way
    2
  26562. Everything is a matter of work.
    2
  26563. ❤
    2
  26564. i have that book minus cover was issued to my mom a radio engineer in army in wwii .
    2
  26565. I always try my best!
    2
  26566. Don't forget your constants.. silly mistakes
    2
  26567. Your channel is a great help. It feels like your own teacher giving you a pep talk. I love it that you reply and read the comments. Please don't stop it.
    2
  26568. why do i need a professor if i have the patient to do all questions from the book? especially in this class!!!
    2
  26569. Wouldn't it be cool to learn geometric algebra aka Clifford algebra known to subsum complex analysis, linear algebra, vector analysis?
    2
  26570. Awesome.
    2
  26571. Love smell of books too!
    2
  26572. Im watching this instead of doing my entire mathbook for homework. oops!
    2
  26573. I thought you were a woman. Yikes.
    2
  26574. God help me...All this looks like hieroglyphics.
    2
  26575. Very interesting, very similar tp your proof that all rationals are algebraic, this could be extended by a student to all numbers in form nth root a over b, n, a being naturals and b being in z/0 are algebraic. Thank you for the barrage of these really pretty introductory proofs.. My algebra 2 students might get a kick out of this, or they might hate me for making them solve it😂
    2
  26576. journey of a man who reached the peak of math as meth snorterer
    2
  26577.  @TheMathSorcerer  thanks a lot! I will try them.
    2
  26578. What? People use pencil for maths? It's a new thing I learnt today. I m an engineer btw.
    2
  26579. Lol I just googled it, it costs 1000 dollars (better shape) but still whaaat
    2
  26580. And also, could you do your rigurous real analysis (not calculus) textbooks and problem books in analysis tierlist and compare them to the Holy Grail - Principles of Real Analysis by Rudin (if you read it)
    2
  26581. LINEAR DIFFERENTIAL EQUATIONS AAAAAA
    2
  26582. It is much easier to persevere when being talented because then it is easy and enjoyable.
    2
  26583. Thank you for posting this video Math Sorcerer! You have help me gain motivation once again!:)
    2
  26584. I have this book hahaha many thanks for the book review
    2
  26585. I don't know that it's a helpful comment, but I barely passed math in high school. I did, but barely. I feel led to try again to learn math! I have an ambitious goal of becoming a statistician! I think having multiple resources is the most helpful thing. And realizing that math comes easy to very few.
    2
  26586. Sir, thanks for ur efforts, sir could you make a video money vs passion in students perspective
    2
  26587. I am using TechnoTutor to learn many of these math subjects
    2
  26588. This is soooo funny!!! 🤩🤣😂
    2
  26589. stright up , no make up , no edit , thx a lot , keep doin' what u doin'
    2
  26590. please don't response video: what is that? you watch it, video pops up again, you write it down, you watch it again until you get it. when a world class mathematician does entrepreneurship...
    2
  26591. Thank you sorcerer
    2
  26592. Hello, I have a question that makes me super confused ! Can I major in Math if I'm not interested, or: " I dont like " math proofs? Please If you can help me to take a decision I'll be glad Thanks !
    2
  26593.  @TheMathSorcerer  So is it possible to major in pure math if i dont like proofs?
    2
  26594.  @TheMathSorcerer  I was a computer science major. In my first year I took several math courses: abstract algebra, calculus classes, and some real analysis notes. I learnt lot of proofs in these courses, but I didnt really enjoy it. Every time there was a proof I was like: OH NO ! So i am wondering if there is a lot more proofs needed in math major ...
    2
  26595. COMPARTMENTALIZE!
    2
  26596. First you have dis over a digit. Otherwise FINNISH .
    2
  26597. Where can I buy the hardcover one?
    2
  26598. I think it would be good if you made a video on how to catch up when you're behind in a class. It would certainly help me if you did :)
    2
  26599. Thanks sir
    2
  26600. what college did you go to? or do you know anything about a real and complex analysis job edit: I am currently in calc 2 in community college and started getting serious when it started to be fun in 5th grade now I'm in 11th grade
    2
  26601. Thank you, just the words I needed to hear.
    2
  26602. Cool video; unsettling stare
    2
  26603. Math is a muscle! You can ‘get’ it, but that won’t make you score at tests, you need routine! Believe me, please. In fact, don’t believe me, try it yourself. You don’t get brilliant in math, but you will get A’s on tests. You won’t get to Fields Medal, but you will master Calc1-3 with flying’ colors!
    2
  26604. Where do you buy books? Everywhere I’ve looked are insanely expensive
    2
  26605. It would be nice if you solve Math Competition problems or more like discrete Math problems where you show us the thinking process that led you to the solution (maybe something like applying Polya Method).
    2
  26606. You should be where Jordan Peterson is with men - he’s fake, you’re real
    2
  26607. I'm very fast as a mathematician. I can easily and quickly solve most problems from the textbooks but there are a few hard ones that usually resist to me, and from those there are some where I get an idea, I try it, it fails, and I cannot think on anything different from that idea that already failed, so I end up in a loop where I keep thinking on the same stuff, and eventually I get tired, lose interest, and move on to the next problem. This happens to me with less than 5% of all problems I do, but I don't like skipping problems. If someone could tell me what I could do in these cases I would be really thankful
    2
  26608. Loose the funeral music
    2
  26609. Nice
    2
  26610. Hello sir
    2
  26611. It seems I have achieved the most important thing...
    2
  26612. Jeff Bezos alt account
    2
  26613. I worked hard in my math classes and did well but i should have failed in my advanced anatomy and physiology class if the professor did curve the grading. The funny thing is i always thought i would fail at math and do well in a and p.
    2
  26614. No idea where these logic videos come from, but keep 'em coming! (I just started logics in my classes)
    2
  26615. THNKS
    2
  26616. Thanks
    2
  26617. very well explained
    2
  26618. Thank you sir
    2
  26619. Can confirm. Lang is best.
    2
  26620. Happened to me yesterday. 5 mins work took almost 2 hours
    2
  26621. This vid was steRADian!
    2
  26622. thanks:face-pink-tears:
    2
  26623. Can we get guidance in mathematics from you?
    2
  26624. so which book is better for beginners, " Discrete Mathematics and it's Applications and it was written by Susanna Epp." or "Discrete Mathematical Structures, written by Kolman, Busby, and Ross."?
    2
  26625. this is cool :D
    2
  26626. Thank you for all your work…. You are great fabulous
    2
  26627. I just realized you’d look like Jeff Bezos to a tee if you shaved your head and beard 🤯
    2
  26628. Math sorcerer thank you. I love watching your video on my break and gaining a new prospective on math. I am busy working adult with responsibilities and I study math. Math wise at the JC I go to I have finish differential equations and all other math courses leading up to that so I am feeling pretty good about that. I still have some physics and engineering classes to take before I transfer. It’s been a long grueling process but I’m just now starting to really notice my progress. So thank you for these insightful videos. Also I am definitely not a “smart” person because I take math. I am more of an hard working person who just hasn’t given up.
    2
  26629. still grinding.....no give up in this kid.....lol
    2
  26630. Hearing you talk about LoL completely absolved my of my guilt about playing world of warcraft (I'm 43, productivity is important to me).
    2
  26631. If "1 Million HP" in the thumbnail stands for "1 million homework problems", then sign me up!
    2
  26632. Something I do to keep me focused for 1 or 2 hours and really get something done is to turn off my phone and I don't have Facebook. So I basically have no distractions and I get more done.
    2
  26633. This guy has grown my mindset so much.
    2
  26634. I need a small loan of a million dollars
    2
  26635. 👍
    2
  26636. I really like this book, i've been using it as a supplement for my calculus course.
    2
  26637. This helped a lot!
    2
  26638. You just needed 15 seconds to tells us those 3 reason
    2
  26639. Thanks for the advice! It was very much needed 😊
    2
  26640. Plane trigonometry by SL Loney...
    2
  26641. Wow nice. Please make videos on MIT books which is used on various topics. And how is Elementary Linear Algebra by Ron Larson? Please tell me your opinion
    2
  26642. ABB=Always Be Buying Long term investing...multiplier goes like exp (lambda t)...can't predict the Lambda well especially in the short term, t time is on your side when young!
    2
  26643. I love this old fashioned covers. Did you ever make a review on Complex Analysis from Lars Ahlfors? Two of my professors claimed it is a masterpiece. I'm using it currently in my Complex Analysis course. It is very different to all the other math books i read up to this point.
    2
  26644. I seem to have an obsession with yellow and blue springers
    2
  26645. you made me cry, by saying that its ok to not understand... i have been hard on myself for being shitty in math
    2
  26646. You apply it... that's the only way for me. To be honest... I'm not a big fan of 'pure' mathematics, but I will take one more pure math class my final semester because why not. Sometimes, I enjoyed real analysis, but I often times found myself thinking ** this !!! 😅
    2
  26647. I have to admit that is what great teacher do often,you deserve more(winds frome Great Somalia)ilove much diffrential equations.
    2
  26648. Thanks! I hope you're still making math videos to help dumb college kids like me! XD
    2
  26649. This is much better. Minimum movement of camera. I was learning complex numbers, complex analysis & quaternions few weeks ago, but I was jumping around in mathematics, because I didn't have a list of categories for learning in order of difficulty. Last week, I took some steps back. I've been learning Algebra I just so to make sure that I know it thoroughly. I'm nearly finished.
    2
  26650. "This is probably one of the best smelling books I have..." Rudin enters the chat
    2
  26651. Loved it!
    2
  26652. It is a two way street ..Professors and Universities can cheat students also ....Look at some undergraduate and graduate programs in Mathematics that are lowly ranked ...A lot a newly Minted PHD's in Math cannot teach in the least degree ..There are a lot of US graduate programs in Math , in which all one has to do is to merely breath to go through the program....A lot of pure bussinesses masquerading as academic institutions ..All of this is cheating.
    2
  26653. This was super helpful, thank you! I blanked out on what happens if the trig functions has a limit of infinity.
    2
  26654. Bro, you are being too modest;) people are actually getting MUCH more out of it: they improve their reasoning in EVERY way except maybe romantic reasoning. There are mathematicians in fields where most people dont see a connection to math at all but still their Kind of Trained analytical prowess makes them thrive there. So the proof related thinking process is really universally applicable, Orders of Magnitude more than most people out there would assume.
    2
  26655. Great video, thank you!
    2
  26656. Thanks for this! I am currently thinking about becoming a secondary school math teacher and trying to relearn old concepts from when I was in high school is daunting. Most of the problems I can immediately solve (I also get a bit of a nostalgic feel) other problems are a little more difficult for me and it really gets on my nerves. It makes me think "how am I supposed to pursue my career if this is hard?" I did take a quantitative reasoning class the last time I was in college and I aced it which gives me a little confidence. However that class is pretty much an easier version of statistics from what I have read. However, in the class I was able to easily understand algebra 2 concepts and I also helped my fellow classmates. Looking back at that class makes me think that I am not completely hopeless. (I also rarely studied)
    2
  26657. Hey sorc, can you please make a video on how to become differential equations master???
    2
  26658. Thank you so much for this video! I really love this and always wondered what path should I take to learn maths by my own
    2
  26659. I have many Mir Publishers Moscow books, more than 100. If any one would like to exchange just Math book (Mir), let me know.
    2
  26660. I'll try to get one in France
    2
  26661. Grades are for suckers 😆😆🤪
    2
  26662. Love this vid! From the words of the famous mathematician Paul Halmos: "Don't just read it, fight it! Ask your own questions, look for your own examples, discover your own proofs. Is the hypothesis necessary? Is the converse true? What happens in the classical special case? What about the degenerate cases? Where does the proof use the hypothesis ? "
    2
  26663. You forgot Mathematical Analysis from Tom Apostol ! The way he treats Riemann-Stieltjes integrals is much better than Rudin's Rudin uses the Darboux approach (i.e. upper and lower integrals) and only focuses on monotonically increasing integrators. Apostol uses, on the opposite, bounded integrators.
    2
  26664. Does the funding for a PHD includes a salary (enough for housing and food)?
    2
  26665. Username checks out, great video
    2
  26666. Sir after next few years we will work together for mathamatics guarantee
    2
  26667. Math speedrun
    2
  26668. Thank you. I just found your channel and I have already subscribed.
    2
  26669. 32th
    2
  26670. chico el toro
    2
  26671. Thanks a lots. Really great motivation. Helping me lots in my way... especially self study at ..
    2
  26672. I think everyone has the Ross book. I know I have two of them somewhere in my house.
    2
  26673. I think role models are good. But I feel as if the reason people fail in math is because they’re taught in such a way which feels like no matter how much time and effort they put in it doesn’t work out for them. Like they’re doing this for the sake of doing it. No passion is going into the mix.
    2
  26674. Thank you so much for the video❤ greetings from Argentina 🇦🇷🫡
    2
  26675. Now do it for computer science
    2
  26676. The math mathed in the video, but then I tried to apply it to WebAssign, and WebAssign hated it because Syntax is megadoodoo so now I'm even more confused.
    2
  26677. Thoughts on How to Solve It: A New Aspect of Mathematical Method by G. Polya https://www.amazon.com/gp/product/069111966X/ref=ppx_yo_dt_b_asin_title_o08_s00?ie=UTF8&psc=1
    2
  26678. (or maybe a Sorcerer)
    2
  26679. Hello:) I just found your channel and starting my journey to watch it. But wanted to ask: why in playlists majority of videos are hidden ?..
    2
  26680.  @TheMathSorcerer  np. video quality is not good, which you'll see people asking for updated versions in the comments, but it's the best we have for now, and better than just trying to figure out the book on your own.
    2
  26681. wish i saw this channel sooner. keep it up :D
    2
  26682. Thank you
    2
  26683. Yo también veo este canal Manuel 😈 soy Dani
    2
  26684. You know what....I really needed this thank you!
    2
  26685. Jeff bezos long lost cousin teaching us math on youtube
    2
  26686. I'm surprised you're not called the math mage
    2
  26687. This was hilarious! LOL
    2
  26688. Lmfao too accurate
    2
  26689. Love the arnold posters ❤, nice home gym 😊
    2
  26690. What do you think of multivariable calculus by james stewart? I found it on amazon on a very low price.
    2
  26691. Thanks for best book.
    2
  26692. There ya go order a Pizza 🍕 have it door dashed 🤔 i like that good idea 😆
    2
  26693. Thank u sir.
    2
  26694. I think it depends what you call a 'high IQ' .
    2
  26695. First time ever hearing its okay your words really meant something this helped i am stressed rn
    2
  26696. Helpful thanks 😊
    2
  26697. What's more important, how to stop overthinking? The best answer I know: CBT, MBSR, MBCT. There are some other suggested ways like ACT, REBT, about which I do not know a lot.
    2
  26698. Very nice video
    2
  26699. it was super helpful. bro has goated vids in general AND tutorials on super random questions from my quizzes???!
    2
  26700. hence the math sorcerer
    2
  26701.  @TheMathSorcerer  well it stays at 3 then
    2
  26702.  @TheMathSorcerer  Well it's my very first sem so I still have time to adapt but I don't understand how u have the mentality to find more hours to study more when sitting through the class itself tires u out, can u explain to me about this so I don't end up ruining my potential career in data science?
    2
  26703.  @TheMathSorcerer  I guess I'm a person that strives to live a balanced life and one that aims to do things efficiently, and those two certainly does not help my case here. My balanced life is one that I study as much as I rest (excluding 7 hours sleep time) and my efficiency means that I put in minimal effort or sufficiently enough to get through.
    2
  26704. Start with the book "Mathematics- Form and Function" by Saunders Mac Lane --<https://en.wikipedia.org/wiki/Mathematics,_Form_and_Function>.
    2
  26705. I managed to find my old copy of that book. Cover is in shambles, but the pages are still intact.
    2
  26706. mfw i'm procrastinating watching this video
    2
  26707. I could do the test in 10 min except for the true/false. Scary.
    2
  26708. Very helpful. Thanks!
    2
  26709. Because they are smart and I’m stupid.
    2
  26710. Just with the pic gave me a headache 🤕
    2
  26711. loved it. thanks
    2
  26712. Ok oj! Love the stitching. 3 gold stars wizard. Moisture ..... strange. Feel like I'm on a wheel
    2
  26713. I can't believe I lost so many points when I stated my proof at "For all of epsilon" . That was a big no no. LOL. This video as helped me plan how to prove pointwise convergence the right way. That you so much. Now I need to buy some swag from ya. LOL
    2
  26714. Have you become a Genius already?
    2
  26715. First Edition
    2
  26716. Thank you for the random book recommendation
    2
  26717. think like a genius. very nice
    2
  26718. 💯🔥🔥
    2
  26719. I find that a book is really good for providing structure, problem sets, and a point of view on the subject matter. More books mean more points of view and maybe one will connect with you better than another. If you can't afford a lot of books, ask round to try to find a good one and then watch lectures here on youtube to get different perspectives on each topic. I find that helpful. Hearing something and also reading. You gotta work the problems though or you're just wasting your time... unless you're just casually interested.
    2
  26720. I never use pencil, I’m very comfortable using a 🖊.
    2
  26721. Great Video!
    2
  26722. Do you have any advice how may I get some of this books in/to Poland and not be bankrupt?😅
    2
  26723. I'm trying to get a handle on the technology I need to use for my job, being a TA. Even though im "young" im inept when it comes to technology
    2
  26724. Could you please do a review of apostol calculus.. By the way, thank you sir..love your videos.
    2
  26725. Play league with me lol
    2
  26726. Love this, thank you. I’m going to add maths practice into my calendar. ❤
    2
  26727. It was helpful to me! Thank you!!
    2
  26728. Let me spoil things... Use CALCULUS 😂
    2
  26729. Another amazing work man 🔥🔥🔥💥💥
    2
  26730. Great video. Thank you! The point about forming study groups is so true. I've often found I can't clearly explain an idea to someone else, therefore, I haven't learned it well enough myself.
    2
  26731. You are amazing bro. Successes in your work
    2
  26732. Wow, I really suffer with what you mentioned on 04:18. I see a book and decide to read it. Then another book appears, and I get in doubt which one to read first. And then there is the problem “i want to revisit calculus. But there are these 3 books here. Which one to pick? What IS THE BEST OPTION? Am I choosing the right path?”
    2
  26733. Hahaha “come have a beer with me and forget the home work “ 😂
    2
  26734. Have an triangle with friend for the life.
    2
  26735. Wow, this was very simple to understand and useful, thank you!
    2
  26736. Knock knock !
    2
  26737. who is there ?
    2
  26738. Yes !
    2
  26739. thanks!
    2
  26740. I have a copy of the translation to spanish.
    2
  26741. Epic saga collection 😍
    2
  26742. Preparing for jee. Maths is the toughest subject in comparison. Thx for tip✌
    2
  26743. :D probably never heard this before, but your voice reminds me of toad from mario. Example below :D. All your sketches are awesome man. https://youtu.be/4Gh7F3tUfFc
    2
  26744. Same prof told
    2
  26745. Indeed!!! So readable!
    2
  26746. ❤
    2
  26747. Thanks Matt! You have just opened my heart to love again with Math
    2
  26748. upon this night I have done one math problem . . . that problem is now vanquished.
    2
  26749. Ongggggggg you inspire me .
    2
  26750. I like that advice😊😊
    2
  26751. Thumbs up just for talking about Kurt Cobain. He should never be forgotten.
    2
  26752. Engineering Statistics, Materials Science, Intro to Robotics, Engineering Design and Practice, Computational Methods
    2
  26753. I wanna ask can't we just move 27 to the other side and solve for x , or that's wrong
    2
  26754. Quick question if I may? - Do the hard cover copies in Amazon have the 3rd printing corrections or just the paper backs? Asking for me not a friend. :)
    2
  26755. You need more books! 😁
    2
  26756. Yeah self-studying is really cool, I'm a self taught programmer and I decided to start learning math a moment ago, at high school we still didn't started Calculus or Linear Algebra and I am having fun solving differential equations or flux integrals while the professor is talking about the quadratic formula haha. Math is way more enjoyable than what it seems from a pure student perspective. And thanks a lot for your videos, your ODE courses fits really well with my book :) !
    2
  26757. Hey so I wanted to ask whether there is any alternative to the Graphical Approach to Algebra and Trigonometry book?
    2
  26758.  @TheMathSorcerer  thanks a lot! Following this reading list will be a very ambitious project but I hope I can make it
    2
  26759. Me seeing no airthmetic section 🙂wtf
    2
  26760. I went to Stanford in 1979 and used the 5th edition for my engineering major.
    2
  26761. Do you have a video about old math books? Like pre 1970?
    2
  26762. Very very True....for Analysis
    2
  26763. beautiful
    2
  26764. After seeing his writing style now I want a board and a marker pen😈
    2
  26765. Lovett's abstract algebra is also good
    2
  26766. Just found your channel today and it is wonderful. Your explanations are clear and your focus on identifying the correct 'opening move' to these integrals makes them much easier to understand.
    2
  26767. "clearly" 🙄🙄🙄
    2
  26768. I don't get any of your math videos in my subscription feed? Its ONLY the videos I usually comment on, this was just because of recommended, why is that do you think?
    2
  26769.  @TheMathSorcerer  The only way I found them was because I was looking up truthtables by suggestion of a friend in Calc, and Laplace Transformations because of differential equations, I go to your videos a lot for math, and youtube was like "Hey, this channel posted a math video while you were sleeping about both the topics you were looking at today! Do you wanna watch? And I was like "Sure!" And I saw it was brand spanking new, so I was like "Is he finally posting math again! Yay!" And I now I guess I gotta check your ACTUAL videos tab if I wanna see them.
    2
  26770. Yikes! Is this what everyone else is doing? Had one fully online class in the summer and there was no timed/monitored exam. Assuming it would be the same for all my other classes and I could be wrong?! Yuck!
    2
  26771. Good stuff!
    2
  26772. Haven't done these since Calculus l back in fall 2015...ahh good times 🙂
    2
  26773. Excellent bibliography, thanks for your information
    2
  26774. first
    2
  26775. So here's so here's so here's a really little book ;P
    2
  26776. ❤️Thx
    2
  26777. Never expected this lol but love it
    2
  26778. Thank you for this, truly.
    2
  26779. I have Zhang's book: I like it!
    2
  26780. Very informative 👍👍👍👍👍👍👍
    2
  26781. Very helpful! Thanks
    2
  26782. Getting up to speed using ZOOM, because we tutors still have to do our jobs, albeit from home. I did build a new gaming rig, so I can finally play newer triple A games, which is now a VERY expensive paperweight (DRAM error and no POST), but I will continue to work to track down the problem. I also did a little gaming, surprisingly not that much. Also lots of YouTube viewing, some fishing, house cleaning, rearranging some things in the house, and trying SO HARD not to snack during the day.
    2
  26783. How late is the latest you can start to really understand something if you want to go far?
    2
  26784. The math sorcerer
    2
  26785. Do people have book recommendations for grad school economics degree? Or just like how to go about learning the math needed without getting completely overwhelmed. I need to be efficient because i tend to really lose myself into various areas and end up not covering everything needed.
    2
  26786. Good video, things were explained very well.
    2
  26787. I still write Windows Executables in C. I use the Pelles C compiler nowdays.
    2
  26788. This is amazing to watch
    2
  26789. What about Nikola Tesla?
    2
  26790. Thank you!!
    2
  26791. I've heard it is because the best practice in keeping an engineering journal is that you should never erase so that its authenticity is not brought into question if it has to be submitted as evidence in court. If you make a mistake you can cross it out, but leave it legible. While you could do this with a pencil, a pen makes it impossible to erase and removes any suspicion erasure might have taken place.
    2
  26792. hi, i’m currently struggling with 9th grade algebra, Which book(s) can help me ?
    2
  26793. What's the most interesting math class?
    2
  26794. Gratz for 100k subs
    2
  26795. im 9th grade i dont know why im watching this but im so overwhelmed and a bit scared, ill be learning this in 2 years how do i go from precalc to calc learning in 2 years while spending 7 years in mid school learning the same equations thing over and over again, now calculus seriously i think i need to focus on science then understand the applications of calculus otherwise its dry math and pure math without science is so boring! also,the book looks thick scary, the paper, small text, sharp font, and very formal writing makes it even scarier. I wish the author took more creative approach to design and tried to make it seem a bit more fun than putting in all the bland stuff and showing all the info without any fun side on it, but wait....fun in calculus? nevermind.
    2
  26796. Non-rigorous single variable calculus is taught to 16-18 year olds in the UK who take the A level exam in the subject. A levels, usually in three subjects, are required for university entrance, and mathematics A level is necessary for degrees in subjects like mathematics, physics and engineering. There is even a 'further mathematics' A level exam for mathematics specialists. Incidentally, the system in Scotland is a little different.
    2
  26797. What to do when these videos doesnt work anymore, I watched to many of them.
    2
  26798. jeff bezos?
    2
  26799. ❤
    2
  26800. Thank you for your wisdom fellow mathematician❤
    2
  26801. Greetings from Mexico! I m in college studying for mechatronics but i love math. I know until integral calc. But i dont know where to go from there. What i want i to have the enough math comprehension so i can understand a physics book to its full potential. Any suggestion?
    2
  26802.  @TheMathSorcerer  thank you very much, i will see if there are any of these books on the library! I truly want to get ahead of this topics so i can focus on other things.
    2
  26803. yes i agree
    2
  26804. Nope it was Euler
    2
  26805. I can relate it
    2
  26806. Looking over at my makeshift whiteboard (the fridge) and understanding that I was due for this humbling. So painfully and wonderfully accurate.
    2
  26807. Was helpful tnx
    2
  26808. Thank you for your videos
    2
  26809. Thanks for the inspiration
    2
  26810. Salam your personality look like a mathematician
    2
  26811. That would be super cool if we taught kids discrete mathematics with sets and groups as introductory courses. I ponder deeply on the efficacy of our standard mathematical model, especially with the extensive emphasis on calculations, rather than theory and concepts
    2
  26812. You could also add that moment where the Professor has a plus instead of a minus and a student points out the exact problem and the Professor looks at the problem, and then there notes, then looks as the problem again, going over line by line until the students start making noise at the specific mistake.
    2
  26813. I now have Vietnam flashbacks of my math major and PhD
    2
  26814. thanks math dad, I'll sink my teeth in some textbooks now!
    2
  26815. Thank you your comedy shorts are 100% appreciated
    2
  26816. That reminds of Charlie Brown.
    2
  26817. I will give you advice for how to help execute the first tip. Do something that requires a lot of thought and anticipation. In my case, chess is that something. You have to think a lot in that game and anticipate. That is what helps me concentrate.
    2
  26818.  @TheMathSorcerer  Same. What was your rating? If you ever got that far.
    2
  26819. Cant stop laughing
    2
  26820. make a video on books for math olympiad
    2
  26821. This is a great video. You have to make the decision to really believe in yourself. And you have to understand that you are your own cause.
    2
  26822. Not a standard book....more classical is Royden
    2
  26823. Abstract algebra is tough
    2
  26824. Thanks you young Jeff Bezos
    2
  26825. Over 50 years ago, my math professor said, " If you want to become a mathematician , you need to be a math geek , ie math OTAKU " Did he say a truth or a joke ? At any rate , I remember his maxim clearly.
    2
  26826. Hi it's crazy! Also really nice to hear your laughter. You are a humane sorserer. Immediately your fan after your first video. this is my second watch lol
    2
  26827. I tend to overwork myself with math and often feel like this. I’ve never tried forced breaks like you said. Not consistently anyway. I’m going to give this a try. Great input, thanks!
    2
  26828. Thanks.
    2
  26829. You're the man! Thanks for this.
    2
  26830. Get your noggin' joggin'.
    2
  26831. Great content, keep it up! 🙏
    2
  26832. Thank you, this was very helpful. I hope you have a great day my good sir:)
    2
  26833. Thanks, Sorcerer! 👏🏻👏🏻👏🏻
    2
  26834. For difficult problems/exercises (examples), one may spend an entire week, even a month just to grasp how to do the proof (solving) for just a SINGLE problem. Even this statement was done by a professor with a PhD in Mathematics, he told us while doing class!!!
    2
  26835.  @TheMathSorcerer  :D
    2
  26836. Thank you for your comment
    2
  26837. Please make a video proving whether or not composition of 1. Two symmetric relations is symmetric 2. Two transitive relations is transitive 3. Two reflexive relations is also reflexive. Thanks
    2
  26838. Third
    2
  26839. I must get this book. Thank you math sorcerer
    2
  26840. I am hoping this channel will cover the learning path of Data Science specifically for Math
    2
  26841. Too real
    2
  26842. Serge lang wrote 40-50 Books.
    2
  26843. Wow! The white stuff toy on your left on the bookshelf is super cute!
    2
  26844. please do review of Ncert class 11 mathematics
    2
  26845. what book the did you used for your class? thank you. i love the way you teach your class.
    2
  26846.  @TheMathSorcerer  thanks. i'll start math major class next month, i wish i get a good grade in Algebra. I follow you from Togo (Africa). You're a wesome professor.
    2
  26847. The word maths (with an s) triggers me.
    2
  26848. Okay then. What’s the deal with the vest? Just throwing it out there!
    2
  26849. Excellent review of integration by parts
    2
  26850. Funny that you chance upon the Cauchy-Schwarz inequality on p 276 - because Spivak first demands you present a proof of it in ChPater One (Basic Properties of Numbers)! I'm slogging through it untutored, self-learning, and my goodness it's hard going! Some of the formulas like the product and sum ones I treat like mechanisms, each element in them a cog, and I have to write narrative of how they work before I can fully encompass them.
    2
  26851. This is good book, but still for me best analysis book in baby Rudin,very rigour text.
    2
  26852. Yaaay, that's the book I used to learn Calculus for the first time! I still have it!!
    2
  26853. please tell what should i totally know before learning calculus please
    2
  26854. A comment for the algorithm!
    2
  26855. The way we picked the value of constants can we also pick the value of x( variable) in the given interval?
    2
  26856.  @TheMathSorcerer  at around 53 mins that sin n cos problem where we assume c2 n c3 as 1 , so the same way can we choose the value of x for sin and cos
    2
  26857.  @TheMathSorcerer  and I also had one more question , suppose if the que is like f1=0 and f2= some function suppose tan(x) how would we check its linear dependence or independence . We solve n we get c1*0+c2*tan(x)=0 So we get c2tan(x)=0 , then how should we conclude the answer , I mean what happens to c1 it could be any number even zero , how should we conclude that the functions are independent or dependent?
    2
  26858. We appreciate your insights on this. You'll always have our support.
    2
  26859. Just bought Discrete Mathematics with Applications by Susanna Epp . I'm going to follow everything you mentioned here little by little
    2
  26860. For me the hardest was the series in calc2, hard to memorize and apply all of the tests for convergence.
    2
  26861. Endowment comes from the creator
    2
  26862. Thankkkk uuuuuu
    2
  26863. Is it okay if I buy the third edition of "Discrete Mathematics with Applications by Susanna Epp"? I found that the third edition has the cheapest one I can get on amazon compared to the fourth edition and fifth which were both rather expensive. The second edition doesn't really ship to my country.
    2
  26864. I'm using the one by Susanna Epp with the cover page being stones lol. One of the more friendlier inviting math textbooks haha.
    2
  26865. Thank you
    2
  26866. Could you do some videos about proving convergence and limits of recursive sequences some day?
    2
  26867. Love this, "Dr. Sorcerer!!!" I really find tremendous enjoyment in your proof videos!! Thank you so much for all the fine work you do!!
    2
  26868. I have two more reassons not to study math. Studying medicine and law is better. I am too impatient to study math.
    2
  26869. Very cool!
    2
  26870. Mouth watering books
    2
  26871. I think you also have to enjoy the subject so the time required doesn't seem like a chore.
    2
  26872. Love u
    2
  26873. You alot lose of insight going into differential equations without having a good linear algebra basis. Anything that has to do with basis of solutions, systems of DEs, the Wronskian ETC... really, linear algebra is one of the more basic subjects one should start with. I learned it on the first semester of my first year in university along with calculus. I would also recommend going into complex analysis after tackling multivariable and vector calculus
    2
  26874. Part 2 please haha
    2
  26875. Watching your videos has become a daily ritual for me. I enjoy your eloquent manner of speaking on topics both complex and simple, and your advice for building habits that sharpen learning and practical skills are becoming very prevalent in my life. Thank you for your wisdom, Math Sorcerer! It is doing wonders for me.
    2
  26876. Thank you again for this video
    2
  26877. Math was not hard for me. I had to work at it a little. I did not excel in it but those that did excel deserve to be proud of their achievement.
    2
  26878. Sensitive society man. Dave said it best a society of bans. This is great advice
    2
  26879. This was pure comedy
    2
  26880. I have a Participation grade
    2
  26881. bruh i'd take the test time just to do the first question lol
    2
  26882. Quality YouTube channel 💯💯
    2
  26883. Hail Math Sorcerer
    2
  26884. Please, can you do a video reading a book from 19th century about conics on a deserted beach?? 🙏🏻🙏🏻🙏🏻
    2
  26885. You are awesome!
    2
  26886. thx man!
    2
  26887. Love the motivational math talks. Really keep up the great work. I needed this video man.
    2
  26888. Great video! Thanks.
    2
  26889. lack of balance - let me not even blink once
    2
  26890. can you do my exam for me
    2
  26891. This man is saving my life Never had someone that gave me advices that i can apply instantly
    2
  26892. Best advice I've ever heard. Thank you, sir.
    2
  26893. Thanks a lot professor
    2
  26894. That is Jeff Bezos!
    2
  26895. I wish you were my math instructor.
    2
  26896. In one of your other videos you said just use Wolfram alpha.
    2
  26897. I literally have those three books
    2
  26898. I didn't see any geometry books?
    2
  26899. Excellent video. Thank you.
    2
  26900. This is one of my favorite videos. I can really relate to your energy. Tried quitting caffeine during summer holidays. I did not accomplish much. Now I'm enjoying a good caffeine buzz and I can totally related to your energy haha...
    2
  26901. Glad I stumbled across this video. It made my day after a long hard hours of school and studying
    2
  26902. No Bullshit Guide to Linear Algebra is also awesome
    2
  26903. thank you man you are my hero
    2
  26904. There is no Algebraic Topology :(
    2
  26905. 225 bench? That's not bad.
    2
  26906. To analyze (you know, like in "analysis") = to DIS-solve = to dissolve ... to reduce to zillions of smaller parts. To integrate = the opposite of dis-solve = to solve = to put back togther again. Analysis and integration -- dissolving and solving -- are duals.
    2
  26907. I used the book by Thomas in college, it's really great ! .
    2
  26908. Hola , soy seguidor de su canal en español. ¿No hay algún libro de demostraciones en español que conozca?
    2
  26909. Great Video! great perspective
    2
  26910. This book is lacking Combinations
    2
  26911. Wow! Thank You!
    2
  26912. Wow 😮😮😮😮this is a good teacher
    2
  26913. thnk
    2
  26914. Thank you, sir. I'm gonna go write/edit my book now : D
    2
  26915. Great video. Great passion! If you really want to learn math (Calculus and beyond), if you want to be a math major (or related major), you have to read books (or get the equivalent information somehow). If you are relying on a professor to tell you the material, then you are getting a watered-down version. The professor is summarizing the subject. Math is largely about logic and reasoning. You have to check everything line by line. Don't believe anything until you've completely digested a proof or proven it yourself. There are no shortcuts. Sometimes, in advanced subjects, I would spend up to an hour per page in a book. I started reading math books very early. When I was in eighth grade I remember reading a book that talked about how many different ways the cars on a train could be arranged. There was a very clear explanation with a tree diagram. I also remember reading a procedure for changing a periodic decimal into a fraction. My teacher never explained things as clearly as that book did. By the time I was a senior in high school, I relied solely on books. I rarely listened to my teachers. I had Advanced Placement Calculus last period. I found the teacher to be incompetent, but the textbook was great (I don't remember what it was). I ended up skipping the class every day to go home early. I failed the class, but I was the only student in the class to take the BC version of the Advanced Placement test and score 5/5. Probably no one else read the book. Math isn't about getting the answer, it's about knowing why the answer is correct, it's about proving things, it's about logical thinking.
    2
  26916. You really do like your Ticonderoga pencils. I got a stack of them too, however, right now I'm using a different brand at the moment.
    2
  26917. Great Video! I realized that I always have Steam and Youtube on in the background. Im not sure this is the right place to ask the question. I am looking for a good and affordable geometry textbook. A lot of people have recommended me a book called "Elements of Geometry and Trigonometry," by Legendre. Is it a good book?
    2
  26918.  @TheMathSorcerer  Thank you!
    2
  26919. 2 more for a 100 book reviews also can you do baby Rudin? The principles of mathematical analysis one?
    2
  26920. It is quite the mindset to think about whether it is worth it if you ultimately become depressed
    2
  26921. Is there a applied math degree?
    2
  26922. Oooh also as someone who took courses formally in all these up through linear algebra and regularly runs into bits of things after that please please please 90% of you will benefit from stats. It helps you understand so many things, and it can feel counterintuitive but it's so important to learn just for life. Also if you're looking for something fun and are a visual person consider looking for texts on non-Euclidian geometry. Fun (and weirdly often useful!) stuff.
    2
  26923. Hi. I'm from the Philippines. I'd just like to say thank you for your lectures. They are very helpful. Listening to your lectures is also relaxing because you seem really kind teacher. Yours is my favorite mathrelated channel.
    2
  26924. 🙏
    2
  26925. Thank you for posting this helpful video!
    2
  26926. Inspiring; thanks
    2
  26927. I strongly disagree in learning fast believe me, I am good at solving engineering problems fast at test but I learned it in slow phase. 🤣
    2
  26928. Can we go straight to PhD without doing masters first?
    2
  26929. The stamp on the first page reads: Computer Science Department of Sichuan University, Library.
    2
  26930. damm im here early today
    2
  26931. Sure. But the environment is important for this time of learning to happen.
    2
  26932. Gr8 question.
    2
  26933. The whole video was just one take and you delivered it impressively well. You are a very good speaker! By the way I'm totally with you on that point. Inspiration is incredibly powerful and it's just fun to work on something you feel an inspiration for. Thanks for the great content.
    2
  26934. I love you so much man
    2
  26935. This seems to be the flip side of his other quote: "Subtle is the Lord but he is not malicious" Which I take to mean that the answer to problems may not be obvious..you have to work at them..and possibly there may be no answer. So G_d does not present the universe to our human understanding on a Silver platter but the answer May be out there somewhere and it May be found. This is somewhat opposed to the 'religious' view that the answer may be found in a book that somebody once wrote.
    2
  26936. I love your powerful. Calculus machinery books it is like an arsenal!!!
    2
  26937. Self-study is absolutely fantastic for learning material and is one of the reasons I reccomend homeschooling for self-motivated students. Its time-inefficiency really becomes apparent the higher you go in math, as you're learning someone else's life's work at breakneck speed. I will say, though, that the way we teach Calculus makes it somewhat hard to self-study, as you don't learn its foundations until Real Analysis.
    2
  26938. This channel is cool, and very useful. I agree with everything you said.I think maths is a discipline that should be approached not to pass an exam or test but just for passion.
    2
  26939. So helpful! Thank you!
    2
  26940. Thnx for ur suggestion 💞 I'll purchase today only
    2
  26941. I have no Idea why this video suggested for me
    2
  26942. someone should do that for biology or data science I have a masters in accounting (uni) and learned python for about 450 to 500 hours. (cognitive class, edx mooc etc). However I find the topics above interesting A reply would be cool
    2
  26943. Thank you😊😊❤
    2
  26944. I have a question that you may be able to shed some light on. I am currently attending a community college and fulfilling an articulation agreement for either electrical or computer engineering. I'm taking differential equations in the fall and am in calculus 3 right now. The articulation agreements both are the same, so i will have the option to do either. However, I am finding that I seem to be enjoying my electrical engineering classes. I have a really have taken a liking to math over physics. I still enjoy physics though and enjoy the physics behind my electrical engineering classes. However, I find myself regularly using my spare time to research and further my understanding of math. For some reason I just really like math. I still want to get my degree in what will most likely be electrical engineering, but I'm thinking about getting a minor in math. Do you think I could smoothly transition after getting a degree in electrical engineering and a minor in math, into getting a masters in math? I would not be apposed to possibly teaching math at some point either. Sorry for my long drawn out post. But I figured a bit of background might be helpful to the question.
    2
  26945.  @TheMathSorcerer  Thanks for the input. I was thinking that might be the case. I probably will go for a masters depending on whether it's viable financially.
    2
  26946. Can you do this for graduate level math please. That will be helpful.
    2
  26947. As a book person, books that accumulate that aren't really worth reading drown books worth reading. Beats fire, adding to data overload, and academia is a big enemy when iT comes to books written only to write a book to make a buck or whore for attention. In my years of school, which are long ago, no math book had value without a math teacher pulling out the value. I think iT stems to math not caring about language, despite math'rrrs wanting to call the big eraser of words and numbers, the writer. Bad people wielding good math are the worst and most dangerous of people, unless you prefer scientists as potentially worst of worst. Still, my bet is on lawyers for really rotten to the core. Gotta have some competition to keep on going good, I guess.
    2
  26948. he says I'm being abuse here
    2
  26949. Thanks!
    2
  26950. I love this channel ❣️
    2
  26951. Thank you
    2
  26952. thanks a ton 😂 , well explained.. pls upload more n more great videos..
    2
  26953. Him this is paper ! Me ツ
    2
  26954. Thank you so much. জাযাকাল্লাহু খাইরান
    2
  26955. sir every book available in india is focussed for some exam or the other , people who want to learn a subject a for fun have no respect here. i was trying to find discrete mathematics by susana epp the other day but couldnt find it , the only copy i found was priced at 12 dollars😐, other discrete math books were aimed at first years in computer science engineering courses. do you have any recommendations for discrete math books or docs that may be available online
    2
  26956.  @TheMathSorcerer  Yeah, it's not horribly expensive for being out of print for decades, I bought a used copy for about 5 dollars.
    2
  26957. On my first semester of chemistry I had a class of linear algebra and l learned almost nothing, the next year a bought a couple of books of linear algebra, studied by myself and l began to really understand it The books were by Howard Anton and David Poole
    2
  26958. thanks
    2
  26959. Sólo aprendo inglés porque me gusta tu canal😃
    2
  26960. Dude looks like newton lmao
    2
  26961. Is 28 too old to learn this stuff or I should say relearn. I am a graduated chemical engineer but I remember nothing from this stuff, since I work as a production engineer I dont any way to practice this stuff. I only remember the base of these.
    2
  26962. Finally another book review, I've been waiting for this !
    2
  26963. You can bench math books every morning but it won't really help with math XD
    2
  26964. my lecturer just say, "this question is for your exercise " BTW thanks a lot, you helped me to solve this question
    2
  26965. thank you
    2
  26966. Destroyed the all math competitions with facts and logic, congrats
    2
  26967. bro is staring into my soul
    2
  26968. do not day trade. instead read daniel kahnemans: thinking fast and slow
    2
  26969. I just found this channel and I'm very grateful. Thanks for the great content.
    2
  26970. Looking to take precalculus/trigonometry class. I want to to teach myself before I take the class. I take it before and I didn’t pass. It work a lot of work. But I still remember the concepts. Going to school to be electrical engineer. What book should I get? I still got all my notes from class.
    2
  26971. I’m currently using khan academy to brush up my skills. I bought a time timer.
    2
  26972. Which of the udemy courses should I start with if your?
    2
  26973. This reminds me of what a brain scientist named John Eccles said in a book he wrote with Karl Popper called The Self and its Brain. It was that if a golf player tries to consciously think of what he is doing during his golf swing, his performance of the swing will suffer. The concept is that what makes athletic performance good is that the conscious mind is largely suppressed and that lower brain centers like the cerebellum are more active. There is every reason to assume that the performance of mental tasks involves the same subcortical structures that athletic performance does. So, if someone is solving a math problem slowly, this means that there is more excitation of the cerebral cortex and less excitation of the lower brain centers required for excellence, because high activity in one area of the brain can inhibit activity in another area.
    2
  26974. Thank god there's still a couple years for me to go to uni XD
    2
  26975. Can you make all videos of series and sequence please
    2
  26976. Where are the videos and playlist on cal1,cal2 and cal3??
    2
  26977.  @TheMathSorcerer  but some lectures are missing where can I find them
    2
  26978. I'm 28 and I'm starting now.
    2
  26979. Wow
    2
  26980. This gave me the inspiration I needed
    2
  26981. Thanks a lot!
    2
  26982. This is a unique place indeed. I assumed that only curious people are here.
    2
  26983. W af king 👑
    2
  26984. Never let the haters get to you. Ignore them, even if it's a wife/significant other.
    2
  26985. I laugh at this then go cry in the corner of depression. Why is this so relatable... :(
    2
  26986. Great!!!
    2
  26987. Just a tip for production value. Try to avoid moving the books around when you're displaying the covers. Makes the image blurred, and more difficult to discern. Though, I can feel your enthusiasm for these.
    2
  26988. I’m 76 and enjoy math and collecting math books. I’m currently trying to get an understanding of Bayesian statistics.
    2
  26989. WOOOT, maths made clear, love it thanks
    2
  26990. Another Majula visit :) Attributes: VGR + INT + STR +
    2
  26991. I was interested in "Intermediate linear algebra and matrices" by caron & salzmann, but I couldn't find it anywhere on the Internet. I was hoping to find it in a used book store, but no luck. I see that Amazon has it listed as a new book, but it's not currently available and they don't show a price. Sounds like a good book, but it appears to be pretty hard to come by.
    2
  26992.  @TheMathSorcerer  Being oriented as a physicist I like concrete examples. I can take what I learn from concrete examples and abstract that quite well. But for some reason I have difficult going the other way around. When math is taught from a purely abstract perceptive based on just rules and axioms, I have difficulty applying that to more concrete cases. So I like to approach mathematics from an applied perspective. That book looks like it might be better suited to the way I like to learn.
    2
  26993. 😂😂😂
    2
  26994. For your comment at the beginning, you are a living example of my mantra: mastering mathematics is directly proportional to the milage of the pencil.
    2
  26995. This is not the video I needed right now. And it’s exactly the video I need. As I sit back drinking a beer rather than finishing my physics homework.
    2
  26996. U look like Jeff Bezos 😂😂😂
    2
  26997. Thanks!
    2
  26998. This man will not blink:face-fuchsia-tongue-out:.Great amazing vidio
    2
  26999. 17:18 watching at 1.75x, I like this person. Super interesting.
    2
  27000. Is that sooo🐵🐵
    2
  27001. Did Mr Lang not know everything in the book 😁
    2
  27002. nice explanation
    2
  27003. I love Serge Lang's Books
    2
  27004. Ok, i really tried to give this video 2 likes without thinking, but i couldn't. Really great video!
    2
  27005. Math!
    2
  27006. Love mathematics its like art. The splendor are the things unknown which men want to make known which destroy the mystery it contains by human standard. Something is better leave alone and let the brain savor its own extraordinary glory given by God.
    2
  27007. So here, so here, so here is the stand-up sorcerer!
    2
  27008. :)
    2
  27009. Proofs are fun. It's my favorite part of math.
    2
  27010. Is it stronger? I would not assume so based on your anecdotal experience. There is probably survey data on the topic!
    2
  27011. Excellent video as always
    2
  27012. i mean this is classic advice for anything. i can attest for learning music.
    2
  27013. This is an awesome video. Applies to so many things in life. Thank you.
    2
  27014. saved me from gettin a question wrong :)
    2
  27015. What kind of grad student would this be for ? someone taking an M.Sc. Pure Mathematics?
    2
  27016. Awwww, I've fallen in love with your plushies in your book cupboard!
    2
  27017. Woooooooooooo! Yeahhhhhhhhhhhhh! Just do it!
    2
  27018. same here
    2
  27019. Hell Maths Sorcerer, apart from teaching and other more known careers revolving around Math, are there other less known careers for Mathematicians? I'm enjoying Maths so much that I'm beginning to like it more than my original degree choice but love Maths for what it is, more than just looking at the areas where one can work in. Can you perhaps do a video on that? Love your stuff
    2
  27020. What about the part where it's the TA teaching instead of the professor
    2
  27021.  @TheMathSorcerer  You're welcome!
    2
  27022. Very interesting. You should make a video of this somehow!
    2
  27023. You didn’t even blink 😢😢😢😢😢😢😢😂
    2
  27024. wtf, why is my profs proofs so much harder than this. It uses cases showing that X+Y <= |X| + |Y| and that -(X+Y)<=|X|+|Y| then using a lemma |X| <= Y <--> X<=Y and -X<=Y, just poops out that |X+Y|<=|X|+|Y|
    2
  27025. The yoked sorcerer has spoken
    2
  27026. Finally 😁😁😁
    2
  27027. I never understand how alebra work and still don’t
    2
  27028. I am in a similar, yet different, situation right now myself where I have to downsize. For the past several decades I have been living in a private house where I had my office, all my books, electronics, etc. Due to some financial constraints I am going to be transitioning into an apartment which means that I am going to have to let go of some things I really like. Fortunately my collection of Math books is not as extensive as The Math Sorcerer's so I will be keeping most or maybe all of my Math books. I may have to sell off or give away some of my science books, computer programming books, etc. And I am definitely going to have to sell off, or give away, some of the large, heavy, and bulky vintage electronic gear that I have. It is just too much to bring all of it into an apartment. Downsizing for a move is never easy. It's a tough call to have to get rid of things that you have collected and held on to over the years. It's also a tough call to have to leave a place where you have lived for a long time. In any event I'll keep an eye on those Math books. Once I get settled into a new location I might bid on some.
    2
  27029. I just love you man. Words can't describe it
    2
  27030. Student: how difficult is this class? Teacher: yes
    2
  27031. Paul online notes are pretty good too
    2
  27032. Just finished finals!!! WHOOOOOOOOO
    2
  27033. I needed this
    2
  27034. Thank u SIR👍
    2
  27035. Well, I never believed in myself, because I knew I could do it!
    2
  27036. Thanks so much - great video! I will certainly apply it! :)
    2
  27037. I have the third book. My prof told me to get the book, by hook or by crook
    2
  27038. In spanish, we also have the antidote to that saying: "No por mucho madrugar amanece más temprano" = "It's not going to dawn earlier if you get up earlier". So, I guess we have to deal with complexity and paradox when it comes to time management and motivation...
    2
  27039. Just bought the first two discrete books. Hopefully I do the entire course and give my thoughts in the future
    2
  27040. "Can you see your next step?" "Yes" "Then take it"
    2
  27041. Nice book sir
    2
  27042. I don't know if it "helps" but I know it's unavoidable
    2
  27043. I love this book,I had this book in pdf,i have no hardcopy because this book not available in my place.
    2
  27044. I know this sounds bad! but i am an older student and there is no way i could have done 8+ hours of math a day. i mean you are only young one time! and are you sure you want to spend that doing math LOL! I have lived a interesting life and spent that time with many interesting women. Now i have worked with many older wall street guys that can work 8+ no prob but they have a passion for the markets and i think the key word is "passion"
    2
  27045. If one reads, studies and works out the math books in a series such as the Schaum series with their course notes and solved problems and additional exercises, one will gain knowledge about all or most of undergraduate and advanced undergrad math, and parts of graduate math.
    2
  27046. Thank you.....
    2
  27047. thank you man
    2
  27048. Today's my birthday and I did math for 4 hours.
    2
  27049. “Most people will take their greatness to the grave” — Kobe Bryant
    2
  27050. Like for smelling the book :)
    2
  27051. My favorite motivation has been Jack Blacks Math song from School of Rock. "Math is a wonderful thing! Math is a really cool thing! So get off your Ath and do some Math. Math! Math! Math!"
    2
  27052. This was great thanks!!
    2
  27053. So true!
    2
  27054. Thank you - more like this please!
    2
  27055. Interesting to have a goal so solid you can fall back on it when encountering failure rather than to just pick a new goal.
    2
  27056. By the way i love this video because it sets out a path for us. a lot of people who want so badly to learn really need a clear path set out for them. Really hoping you keep your start to finish series going with updates.
    2
  27057. Just use the lospital rule(not sure if i wrote that correctly) and don't mess with the definition of derivative😂😁
    2
  27058. Does it matter which edition? Is there one edition that is better than the other?
    2
  27059. your awesome
    2
  27060. It's 2022 and this helped me thanks a lot!
    2
  27061. Man, I wish your content was around when I was in college nearly 25 years ago. Thanks for sharing! 👍👍
    2
  27062. Fifth
    2
  27063. Your Chanel is really amazing! I like self study, I do that for fun !
    2
  27064. You look like Jeff Bezos
    2
  27065. Okai! Thank you for the answer
    2
  27066. Hey I have this one!!!
    2
  27067. Great advice! I took your advice and am currently focusing my energy on learning the foundations (set theory and logic) using Transition to Higher Mathematics book by Smith, Eggen, and Andre. I got it really cheap used from ebay for less than $10. Great for self study.
    2
  27068. 1. Studying the definitions and theorems and working out example questions before looking at the solutions provided. This is more fun and can help a learner come up with different methods of solving the problems. This also helps the mind to be more creative and explorative, than merely going through the provided solutions. 2. Working Math problems back and forth. One of the greatest things I have learnt as I study on my own, is that studying problems back and forth helps to grasp the material better and easily apply it in answering assignment questions. It also helps to build my confidence. 3. My best pleasureable experiences have come not as a result of attending math classes, but as a result of reading and studying on my own. It has helped to have a deeper and clear understanding of topics that i barely knew. The moment I come accross text that explains things well, my heart lips for joy and I thank God for books. This experience cannot be compared to anything else.
    2
  27069. Clear and understandable
    2
  27070. dude, you look like jeff bizos
    2
  27071. I am reviewing for a Statistics test right now and your video helped :) Thanks!
    2
  27072. I love your videos, it motivates me.
    2
  27073. THANK YOU!!
    2
  27074. Great video.. Self study is the best. My resolution for the first half of 2021 - move over multivariable calculus - learn differential forms, exterior calculus and related mysticism.
    2
  27075. read NASM essentials of sports performance training
    2
  27076. How would you rate your knowledge regarding physics?
    2
  27077. For any section in math you still need to solve at least 2 problems to master it no matter how smart you are. The good driver wasnot born this way. He achieved it.
    2
  27078. ❤❤❤❤😍😍
    2
  27079. if i understand all of the stuff in the book, can i more or less understand the first three chapters of Munkres? thanks!
    2
  27080. Thanks for sharing! Where can I get the abstract mathematics books for like under 10 dollars? I can’t seem to see any places selling them for that price on google. Thanks!
    2
  27081. Where can we send you questions?
    2
  27082. you definitely need a good teacher/mentor
    2
  27083. Thank You, this helped me a lot :)
    2
  27084. Thank you for this.
    2
  27085. Some Math Sorcerer motivation to start the Monday off.
    2
  27086. Does the guy have some thyroid issue?.......feels like it coz of his stare
    2
  27087. Thank you for this video. I think I will buy the book on proofs you recommend. Yes Dover books rock.
    2
  27088. There is a online graphic calculator which is very useful.
    2
  27089.  @TheMathSorcerer  Thanks a lot 😊😊😊
    2
  27090.  @TheMathSorcerer  Thanks again, I will check it out for sure...
    2
  27091. It's never too late to start
    2
  27092. Takk!
    2
  27093. Thank you! You got me through it. :)
    2
  27094. Thank you so much. I needed to hear this today.
    2
  27095. I am engineering manager, I will fire any engineer who does calculus at job
    2
  27096. Thanks for all the material!
    2
  27097. Good review, I’m headed over to Amazon to purchase it. I don’t recall studying Galois Theory for my math BA.
    2
  27098. I love this video ❤😭
    2
  27099. I'm finishing up my last math class, difeq, and I'm not sad to be done with all the headache. Now for applied math in engineering..
    2
  27100. At least put on some slippers and socks to add to the effect
    2
  27101. I will be sure to share these videos to my friends and family, thank you so much for your efforts sir! I will do my best for this channel, I have learned so much from here, you are a hero for us
    2
  27102. I'm reading this for the discrete parts (groups, permutations etc.) but I'm finding I really loathe anything that has something to do with number theory, functional analysis and linear algebra. That's been an interesting realization for me.
    2
  27103. Omg so much classic! Yeeee 😎☝️🥺
    2
  27104. Today I've been doubting going into EE a lot... Idk something about using a calculator a lot doesn't seem right. I don't like it, seems boring. I am still in high school but studying stuff on my own and... I genuinely don't know. I just know I want to teach(be a professor) that's all... I like doing that... I rly wish I could get some guidance on this idk... Love the vids btw, you really made me want to study math more (even though I did like it a lot before)... Perfect timing too
    2
  27105.  @TheMathSorcerer  I am not in the US and unfortunately I have to pick only one and go into it, very little overlap. Now I am thinking of either applied math or computer science. I started studying these things on my own using textbooks and I try doing so rigorously without letting myself just "jump to the next chapter". This is how I realised. I'll start studying some math and see how it goes. Anything you cold recommend? I do know calculus that's about it. Maybe discrete math?
    2
  27106.  @TheMathSorcerer  Unfortunately not. Although I am lucky that even in computer science there are a lot of courses in math, including analysis, linear algebra, probability and statistics, abstract algebra and even complex analysis (geometry too but unsure how far that goes). At least though I am happy I did figure out that engineering is just not for me, god that would be boring for me. And I am to be thankful for your videos, very helpful! Thanks for this as well, much appreciated!
    2
  27107.  @TheMathSorcerer  I'm from Serbia, so it's quite a bit different here.
    2
  27108. lol this is incredible!
    2
  27109. Thank you so much Math Sorcerer you are a life saver !
    2
  27110. Calc 2 was the most difficult for me since it had so many disparate topics, I had to retake it. Calc 3 was challenging but at least most of the class built on previous topics. I took diff Eq last and was an easy A.
    2
  27111. Jeff Bezos with a wig? Wigged out JB
    2
  27112. I would also write to some professors that are outside of your country and explain your interest in doing research. They may be able to suggest an international partnership or avenues of approach.
    2
  27113. I have those
    2
  27114. Thank you! I am taking Calculus 1 this summer and just went over the Epsilon Delta proofs. You helped me understand it better.
    2
  27115. I want to be a highschool math teacher. I am currently in Calculus III and it has been a bumpy ride, I have a low B right now. My whole time in college (I am in my sophomore year) has been very odd because it has all been online. All my professors made the tests open note so one thing that sucks about that is how I am not the best test taker anymore and I feel like once we have in-person classes in my area again that I will struggle with tests. Your videos are very calming and help me a lot with not giving up because sometimes I feel like I am not smart enough. Once I get through this class I have Linear Algebra next semester!
    2
  27116. God bless you sir.
    2
  27117. Is there a very small online community of maths hobbyist that one can join?
    2
  27118. I thought you meant abstract algebra
    2
  27119. Thank you for motivation. Please suggest good books for first Linear algebra class.
    2
  27120.  @TheMathSorcerer  Thank you.
    2
  27121. The calculas book is bigger than my 2 9th grade math books! (I live in a different country with different education style than usa and canada btw)
    2
  27122. Thank you so much. Well done for addressing the logic behind the topic
    2
  27123. Happy Thanksgiving!
    2
  27124. you make me want to listen to John Butler Trio which is really cool
    2
  27125. Margin of Safety is supposedly the best book.
    2
  27126. Great presentation!
    2
  27127. Just wow...
    2
  27128. 😄❤️
    2
  27129. Sir explain DE système plzzzzzz
    2
  27130. Just, I can't just can't. If I had a problem, I stay there for days. I can't prioritize my time, it is so hard me as you. But I am okay with that.
    2
  27131. Thank you! :) I'm not a mathematician, I'm perhaps the opposite of that, but I'm glad this popped up on my feed because it is useful for all academic self-study I think. My area of study is history, specifically the history of early Christianity, and unpicking all the mythology heresiologists created to uncover an early diversity that looks little like the authoritarian orthodoxy that became the Catholic church. Really understanding will require me to learn ancient Greek, and probably also Latin and Coptic in the end. I'm not sure why I'm even doing it, it won't be my job or anything, it just became a mad obsession. But there is so much to know so I can really understand anything at all, and even though I have a professor who helps me sometimes to organize myself I feel overwhelmed and have too many thoughts too. And I have that lazy feeling, which drives me crazy because I work full time and I am a wife, i'm plainly not lazy! My obsession doesn't want me to rest and criticizes me for just bumming around! Brains are cruel sometimes! I'm going to steal your idea of creating atmosphere, I am going to set myself up with a cool ambiance for my study! That's a way to make it really fun :D
    2
  27132. Could guess that it's from Hall and Knight. A similar problem was shown a few days back. Thank you 🙏
    2
  27133. Great video! Thanks!
    2
  27134. Have you heard of "No Bullshit guide to Linear Algebra"? It's got some incredibly enlightening visuals, concept maps, a topographical mapping of how 'BOLD" Letters relate to each other It's $40 so pretty expensive for a reference/supplement, but when I saw those visuals I'm like this is a must-have for me later xD Just looking at that piece alone really helped me get a better visual grasp of those numbers. Might be a good book to read in bed, on a beach, or buried in the sand :-D
    2
  27135. i have that shirt too
    2
  27136. Thanks this helped me 😊
    2
  27137. How much is this book?
    2
  27138. thank you so much :)
    2
  27139. Great tutorial!
    2
  27140. Last semester we used this book and did everything except the determinants and the 7th chapter. At the same time most of the classmates were also taking advanced calculus class, in which we were studying Folland's advanced calculus. So it was really hard to manage both classes in the same semester. By the way, I don't remember even a WORD from linear algebra, so I think I might give this book a review
    2
  27141. A message like this couldn't come at a better time of year. I failed at math all throughout elementary, middle, and high school. Now, as a senior Applied Math undergrad, I still sometimes find myself intimidated by my classes. Sometimes you need someone else to believe in you to be able to believe in yourself. Okay, now back to my analysis homework!
    2
  27142. I know what Im doing for Halloween. Only 9 months away ... if my math is correct.
    2
  27143. I'm confused about why you say that set theory is easy. In my experience, although I thought set theory seemed fairly straightforward at the beginning, most students have more trouble with that theory and set theoretic notation than anything else in most of my classes. Will you please elaborate on that?
    2
  27144. Love from India...❤️...
    2
  27145. I agree Baby rocks And Fitzpatrick helps so much
    2
  27146. Awesome
    2
  27147. I needed that, thank you 🙏♥️
    2
  27148. 💗💗💗💗
    2
  27149. You got the magic to save my day! Thank You!!
    2
  27150. thank you very much , this more easy from my collage.
    2
  27151. Thanks sir, really helpful ✨🥺
    2
  27152. There is a newer reprint by Springer.
    2
  27153. Lmao! Wow
    2
  27154. very good video
    2
  27155. Thank you from Norway
    2
  27156. Persistence
    2
  27157. I love calculus 😄
    2
  27158. It’s ok that I say these things. I’m a physics major.
    2
  27159. thanks
    2
  27160. Do you need a PHD to be considered a mathematician?
    2
  27161. Awesome! It's a great vid that I need
    2
  27162. Very helpful, thx.
    2
  27163. 😂😂...I solved this problem without pen paper... Why you trying to solving this kind problems...in this world more difficult problems are exist like Riemann Hypothesis 😂😂.
    2
  27164. There we go!!
    2
  27165. This is something i need to accoplish. I dont do it every day because i need to concetrate on other subjets. I have recently finished a research deflorestation and write in academic perspective involving math physics and quemistry. Now i should start reviewing concepts of calculus and physics. Your adcice is indeed the best option to advance.
    2
  27166. thank you
    2
  27167. A bood that really helped was "Debugging CC" by Ward Christensen.
    2
  27168. Thanks
    2
  27169. Only if i’d seen this video during high school. Sucks that life can be understood only backwards.
    2
  27170. precious
    2
  27171. Isn’t this just maths with extra steps
    2
  27172. That's computer science for you. ;)
    2
  27173. I just had a question , can i start with calculus if i have completed serge lang's basic mathematics?
    2
  27174. would love more smart teachers to do this. flip thru classic books and talk about 'em
    2
  27175. Hello 🙋‍♂️
    2
  27176. Very helpful
    2
  27177. Judging from the amount of books. This guy likes math
    2
  27178. Thank you
    2
  27179. I don't know how many people knew this but mix up problems from different topics, it might feel difficult at first but you remember these more than when you just slog through a whole chapter.
    2
  27180. What's the point of learning math? Also what's this "real analysis" I've been hearing about?
    2
  27181. Caclulus
    2
  27182. first
    2
  27183. hii sir , i have come here to learn mathamatics............
    2
  27184. Much much needed. Thanks a lot Math Sorcerer.
    2
  27185. I was struggling a bit in measure and integration theory but the hardest course was probably pde. Not sure why those courses are in undergrad classes already.
    2
  27186. Please make video trying to solve JEE advanced Maths question paper
    2
  27187. Start with the book "Mathematics- Form and Function" by Saunders Mac Lane --<@t.
    2
  27188. Perfect synchronization of the artist professor of
    2
  27189. Thanks :)
    2
  27190. A lot of this honestly just feels like Algebra II
    2
  27191. 5 to the power 5555555555555555555555555555555555555555555555555555555 reasons
    2
  27192. sometimes I feel demotivated while doing self study. It's so hard to do self study.
    2
  27193. Thanks
    2
  27194. A beautiful book is so much more inviting
    2
  27195. 30 minutes a day for the rest of your life
    2
  27196. 5:57 I remember that song especially the part , p*ssing the night away..
    2
  27197. Thank you for unpacking some important ideas! When talking with my student friends about math and science, we always come back to the difference between studying for an exam vs. studying to learn. If we don't ask our own questions on a topic, we run the risk of wasting months of our lives on something we'll memorize and soon forget. I self-studied data science in python over the summer.
    2
  27198. in my math course we don't have calc 3. Everything that other people learn in calculus 3 class we learn in calculus 2, and everything that is given in calculus 4 for other courses is append in analysis. diff equations we see after analysis. https://uspdigital.usp.br/jupiterweb/listarGradeCurricular?codcg=55&codcur=55060&codhab=1&tipo=N
    2
  27199. thank u king
    2
  27200. Thank you so much your explanation is more easier than the other videos!!
    2
  27201.  @TheMathSorcerer  thank you!
    2
  27202.  @TheMathSorcerer  yep
    2
  27203. Thank you so much
    2
  27204. It would be interesting to know how does it feel for for the Math Sorcerer to be the one who spreads math/life motivation for many people on YouTube and to be a teacher who also brings happiness and helps many young people to realize their ambitions in real life...
    2
  27205. How many books did you study in total?
    2
  27206. YES. YES. YES. I can. I have a math exam in 2 days and I was stressing. But this REALLY helped. <3
    2
  27207. Videos and solve problems
    2
  27208. > "Harper Collins Maths dictionary" hmm, by name, that seems the correct thing. Thanks for recommendation.
    2
  27209.  @yash1152 Your welcome. The title I gave is for the US and Canada. Enjoy. :goodvibes:
    2
  27210. Ok this video!!! Dude your passion is so freaking motivating. I can’t help but subscribe!!
    2
  27211. Thanks for the daily motivation! Felt so lost these days.
    2
  27212. A helpful video
    2
  27213. What a great, genuine video. Thank you sorcerer.
    2
  27214. PACTICE EVERY single question within the entire 'books', make sure you went through practically as many scenarios possible, and you will hammer maths tests boooom. Speed comes with time anyway if you are so used to tackling problems.
    2
  27215. Israel's average starting age at university is about 23, and for Jewish men its probably closer to 25, and they finish their bachelor degree at late 20's and closer to 30 years old. This is mainly due to mandatory military service of 3 years for man, and other cultural reasons (traveling, working, "finding your self etc.). Yet, Israel has quite a lot of accomplishments in academia and science and math in particular. This is especially surprising considering its small size.
    2
  27216. I love how there is no punchline
    2
  27217. What is that music called? :) Nice video!!
    2
  27218. Very easy stuff!
    2
  27219. Interesting! Would this be a part of a probability class?
    2
  27220.  @TheMathSorcerer  probability density sounded familiar but what it meant was never fully explained. That sounds like a fun class. Thanks
    2
  27221. Fun Fact my Maths Professor was actually called Prof. Hachenberger
    2
  27222. Wait Patrick Fitzpatrick was my teacher at umd
    2
  27223. When english is your second/third language and you know all of the mats he mentioned it really gives superhuman vibes... PS these noob coments help too
    2
  27224. Good video. math is so cool
    2
  27225. THANKU SO MUCH
    2
  27226. If I have done linear algebra up until determinants, is this okay to start reading? All I know are calculations, not any of the abstract space stuff.
    2
  27227.  @TheMathSorcerer  I really admire mathematicians, the way they think and their problem-solving skills and I liked maths at school but I was lazy. Primarily because if I solved a problem , I didn't get that 'high' thinking I was the cleverest person in my class. Same with crosswords and puzzles. My father learnt Latin ( me too) and Ancient Greek so was always into mathematics and solving crosswords because he was good at it. For me it seemed like I was wasting time and could be doing something that has a tactile outcome. For example, if you learn to play the guitar like Jimmy Hendrix then you know there's a response from the audience in that you're brilliant. But you could also get that response by being fairly mediocre, Solve a maths problem ? Who knows about it ? Just you and your supervisor....Unless you win the fields medal .
    2
  27228. I'm currently trying to master Microsoft Office. This should help. Then it's onto other subjects for employment.
    2
  27229. English too fluent, unrealistic.
    2
  27230. This is for some reason awesome motivation :DDD
    2
  27231. Look up the. Pomodoro Technique. Helps structure study with proper breaks.
    2
  27232. Well I can only speak for LA, California and it has to do with the area you live in, many schools are underfunded so they may not even offer it at all. It’s a very broken system.
    2
  27233. Today's math exam, Delta-Epsilon proof was the only question I couldn't give a complete answer for. Even after rereading several times, it's still gibberish to me!
    2
  27234. Great video! Also, anyone preparing for math test, remember it's not just about attending hours and hours of math class and solving problems, but ALSO about having the patience, temperament and the determination to keep getting better. Rock your exams before the exams rock you!!!!
    2
  27235. I love you!
    2
  27236. A cheaper option is UNED, it's an acronym in Spanish for National University of Distance Education. You can study from home and take the exams at the assigned centers. I think it has centers in different countries. It may offer the possibility to take the tests online. It's a Spanish public university, and it's all in Spanish. You may have the option to do your studies in English, I don't know about it. It would be a matter of contacting them. It's much cheaper than a private university in the United States. https://www.uned.es/universidad/inicio.html
    2
  27237. bruh i just had a heLLA awFul day and missed this lesson in math but yOU my mAGicaL frieND just saved my l i f e and allowed me to nOt talk to people to learn this. huzzah!!!
    2
  27238. I have a problem in maths that is over confidence..😏🤦😂 What to do..?!
    2
  27239.  @TheMathSorcerer  Yaa...😂🤣🔥
    2
  27240.  @TheMathSorcerer  sir Now I have linear algebra by Gilbert strange and I am thinking to get another book on linear algebra so in these two which book is best 1.linear algebra done right 2.linear algebra by Howard anton
    2
  27241. nice one
    2
  27242. 😀the worst way is looking for videos how to start
    2
  27243. U really helped me upgrade from C- to A+ in math
    2
  27244. I think I'm going to start seriously going through your Udemy Abstract Algebra course using the Saracino book.
    2
  27245. Math sounds more abusive than I remember..
    2
  27246. How much time would it take to read all those books again 🤔🤔
    2
  27247. Great video. Thanks. I'm 45 years old. Am I too old to learn to be a good math student? Honestly, I daydream about becoming an engineer, but have no idea if it is realistic at my age.
    2
  27248.  @amydebuitleir  you are an inspiration for me <3
    2
  27249. Wow! I didn't you speek Spanish. I follow you for time ago! Really good Spanish! Estoy muy impresionado y lo digo enserio!
    2
  27250.  @TheMathSorcerer  there is a youtube channel that is from Spain, the name is "Unicoos", and it's a teacher who explains basic mathematics, physics, chemics, until "bachillerato". And is really really famous, is a good teacher. You can check it, for practice.
    2
  27251. Yes i would like to agree to disagree. What i was learned at the university is that we as electrical engieneer use the letter j in complex nr because we use i as current. But who is i to know anyway great video!!! :D
    2
  27252. Any tips how to study linear algebra with proofs?
    2
  27253. This is how I feel during linear algebra class. Differential equations makes me feel like the opposite lol
    2
  27254. what is the difference between a double and triple integral
    2
  27255. ​ @TheMathSorcerer  but why are they both volume
    2
  27256. Love this vid!
    2
  27257. i have q a question how did you guess x and y = 1 i cannot seems to grasp that part
    2
  27258. would love more videos like this
    2
  27259. High school math teacher here 👋🏾 currently thinking about transitioning into higher ed 😁
    2
  27260. I scored a 9 after a lot of years scoring 4, 5 and 6. What changed is that the director of the high school did the impossible to make me fail becouse he saw my potential that I never knew I had. The most used sin in Spain is envy
    2
  27261. I think every one have individual rhythm for learning .It is like music .
    2
  27262. There's no finish to mathematics
    2
  27263. what happens to the -57??
    2
  27264. Can you sell me your calculus book?
    2
  27265. Being alone is only lonely if you want it to be 🎵
    2
  27266. muchas gracias en verdad :3 <3
    2
  27267. Go somewhere else Covid19:am i a joke to you?
    2
  27268. Yeah I'll be honest, get your numbers out of the way. Jk, I know there's some quantifying that needs to be done. There's a certain set of words and rules of writing proofs that teachers want to see, and sometimes you fall short of that complete proof cause you reused certain words too much or something didn't make sense to the teacher. I'm so glad I don't have to take a course in Real Analysis and am free to make mistakes I guess, cause I got a C in introduction to proofs. Makes me glad I did my grad in Economics, while you do see set theory used in things like Microeconomics, when you take tests, you're not expected to write complete proofs or write out sets depending on the problem, generally, you just have to understand how to derive the formulas, part of which is in functional form like U(x,y) = (x^p + y^p)^p that has to include the Utility function which is indirectly differentiable itself if the utility is the constraint when taking the Lagrange to 0. Which is just complicated algebra as we do in optimization problems. Same thing with econometrics, but in the homework we are asked how key equations we use is derived given so and so equation so we can understand where it comes from. Which is not the same as writing a complete proof. Deriving is only part of that equation to writing proofs.
    2
  27269. Professor Hamburgers
    2
  27270. Calculus and Analytic Geometry George B. Thomas, Jr. 1968 edition ; used for 4 semesters
    2
  27271. Hey man you are an inspiration. It makes me confident when i see your video.i am doing my undergraduate in Department of mathematics in University of Dhaka
    2
  27272. help me with facts. does this available on any free ebooks? i know not all but atleast some would be much appreciated. Thank you
    2
  27273. for example: pdfdrive(by the way i research some in this website but nothing is similar )
    2
  27274. P.S it is not that i dont have money to buy this fantastic books but i live in a 3rd world country which library is just not a thing. ridiculous isn't it? also P.S i tried to find in online shop and nothing appears. :'(
    2
  27275. So, Jeff Bezos has side hustle as well.
    2
  27276. Hey man! I've taken Differential Equations and analysis I & II. I wanna go through a more theory heavy book. Any recommendations for a good rigerous ordinary differential equations book? I was thinking ordinary differential equations by Arnol'd
    2
  27277. You remind me of Dr. Emmett Brown from Back to the Future in a good way.
    2
  27278. I agree, but instead of buying books, i often go to the university library. It's free and if i don't enjoy the book, i just bring it back.
    2
  27279. This works for kung fu ("time plus effort"). Break forms down into smaller events; this form of learning is known as "chunking." Enjoy the process and train well!
    2
  27280. Thank you sir
    2
  27281. I have almost all of his books and they are awesome.
    2
  27282.  @TheMathSorcerer  I have a question for you my friend....I had a bachelor in electronics engineering 2015, the highest math required for that program was calculus 2....I would like to go for a master in mathematics , do you think they will ask me to take cal 3 and 4 before I joined that program ?
    2
  27283.  @TheMathSorcerer  I don't understand, the answer is for that calculus 2 is ok, or I have to take cal 3 and 4 first ?
    2
  27284.  @TheMathSorcerer  ok thanks
    2
  27285.  @TheMathSorcerer  we have honors for 4th year, you get your degree in 3 years but have an option to back and do "honors" undergrad for 4th year. For my 3 year degree we did classes in real analysis, hilbert spaces, pde's, groups/rings, ect, and 4th year we had measure theory/topology, set theory, model theory, topology, category, knots, galois, ect.. but we have no classes on algebraic geometry at my uni.
    2
  27286. How tall are you?
    2
  27287. Great Video!
    2
  27288. couldnt get this reccomended to be at a better time lol. even though im in hs this is really helpful for me, thank you
    2
  27289. thank you 🤍
    2
  27290. you are asuming that the ratios are positive, otherwise taking the nth-rooth of k^n would give you |k| and when n is even and this is certainly not equal to k when k is negative...
    2
  27291. Where can I find scratch
    2
  27292. I love such books
    2
  27293. At 1:05 my level of anxiety jumped.
    2
  27294. My copy of Dummit and Foote is held together by tape, glue and Velcro lol
    2
  27295. Thanks for this
    2
  27296. This was beautiful
    2
  27297. C is my favorite ❤
    2
  27298. I disagree there's a more modern or understandable one. But this is a good second.
    2
  27299. I'm starting to choose stem so good luck for me I need to be out in my comfort zone.
    2
  27300. who says universes does not care about you. Got the video Right just on time when i needed it.
    2
  27301. Simple, but powerful.
    2
  27302. Some people are born with abstract thinking and others don't. How do you get better? reincarnate with better genes.
    2
  27303. relly helpful
    2
  27304. I finish the calc series in a few weeks. Hands down calc 2 is the hardest of them. There are so many new concepts. This class has so many stuff going on. I had trouble with the whole integration and series chapters. Calculus 3 is more fun, but its hard to be able to visualize the planes and surface you are working with. So far the hardest parts have been surface integrals and these over vector fields. Parameterizing these can be tricky but not impossible. Learning online because of covid is hard, but stick in there and everything is possible!!
    2
  27305. 🙋
    2
  27306. "Turn off the laptop" Me who has all math books in pdf only.
    2
  27307. You covered a Math Book for us Physics Geeks!! I've heard of Kreyszig's text but never used it. I used "Mathematical Methods in the Physical Sciences" by Mary Boas as an Undergrad, and "Mathematical Methods for Physicists" by George Arfken in Grad School. I recently picked-up a copy of "Mathematics of Classical and Quantum Physics" by Byron & Fuller, which has a completely different writing style that compliments the other books well. For work, I found that I needed to review Complex Analysis, Contour Integrals, etc.!
    2
  27308.  @TheMathSorcerer  I did Condensed Matter Physics (Magnetic Materials) when I was young, hot and sexy (well, young, at least) and have been working in high-power RF/microwaves for score+ now that I am old and wise (well, old certainly). Currently working on Comm System Analysis: Bit Error Rate (BER), Error Vector Magnitude (EVM), propagation stuff (Kramers-Kronig integrals), etc. The stakes are higher at work, but Complex Analysis is a lot more fun when you don't have a problem set or exam looming in front of you!
    2
  27309. Never forget the selection in public colege.
    2
  27310. Gotta do it...
    2
  27311. I want to learn like you
    2
  27312. Plz solve it by another method (except substitution method)
    2
  27313. thank u for this video!! right on time!
    2
  27314. Respect man, i negleted math for too long, but that ends now, i want to become a math sorcerer like you
    2
  27315. Great ❤️❤️❤️❤️❤️
    2
  27316. Thanksss🔥❤️
    2
  27317. I love your videos! This is why God made you. Thank you.
    2
  27318. Why do you sometimes use the biconditional arrow <=> and sometimes just use = ?.... How to know when to use which?
    2
  27319. muggles are 'elitist' too..
    2
  27320. If the teacher goes fast, student may not follow him. But achieving speed is important especially when you're preparing for the test.
    2
  27321. Would love a video for physicists
    2
  27322. Professor Dork..??? 😆😆😆
    2
  27323. Shocked your first language wasn't English :0
    2
  27324. Go to Thrift books and buy older editions for 5 bucks. Exactly the same stuff. Math is a skill: the exposition is important to read carefully, but really learn by solving problems--especially to ones that aren't just applying an algorithm
    2
  27325. Really nice 👌 😍💋 💝💖❤️
    2
  27326. Because we have evolved more than we should😂
    2
  27327. Yes our life has been changed. In old times the storage of books looked as any treasures. But now all values not the same as it was before. And I recognize it and I don't know good it or bad. I'm not sure and I feeling any insurance about future.
    2
  27328. Cheers Jeff
    2
  27329. I am struggling with proofs! I work hard to write my proofs but I fail my tests because I do not prove the claim right or I only do part of the proof
    2
  27330. Every proof looks simple and intuitive until I try to solve one 💀
    2
  27331. It is true that math makes me happy and confident. I realized it after watching this video. Thank you.
    2
  27332. Omg THANK YOU I was so confused about PMI
    2
  27333. This is very similar to improving at programming. Sticking with problems and using what you know to solve new ones is key! Great video btw. 👍
    2
  27334. Hello!! Which one is better? this one or the one written by Susanna?
    2
  27335. Am I wrong or is he a Jeff Bezos?
    2
  27336. Firstly, thank you for these amazing videos. Would you mind suggesting good online bookstores for buying used mathematics books? Thanks in advance!
    2
  27337. This is wrong
    2
  27338.  @TheMathSorcerer  Thanks! I think people get held up on the idea that they are paying so much for college so they expect the professor to somehow do the learning for them. You're just never going to learn something without doing the hard work yourself though.
    2
  27339. THANK YOU!!
    2
  27340. I’ve found it more effective than any kind of therapy... until it’s 4 am and Im awake because of some paranoid, sleep-deprivation induced Luddite spiral about machine learning 🤡🤡🤡🤡🦾🦾🦾
    2
  27341. Is the elementary linear algebra with applications by Anton the same book. I noticed there were newer version but wasn't sure if they held the same readability. I enjoy these videos! Thank you
    2
  27342. Thank you! Anything on Numerical Methods?
    2
  27343. This feels like it will change my life!
    2
  27344. Great Video! Love it!
    2
  27345. No sir
    2
  27346. Thank you man for the motivation!
    2
  27347. Yup Tom Apostol Calculus is very very popular. He does have a two volumes book that covers a lot of Calculus. Well written book no doubt.
    2
  27348. how do you get the graphic, asymptotes and the tangent equation in any point
    2
  27349. The first original book I bought was the Algebra of Baldor!! Yes it smells great!
    2
  27350. Thx!!!
    2
  27351. Thanks King thanks
    2
  27352. I cant believe you didn’t mention the fact that non math people might say to you, assuming you study math. Really? I hate math. I mean no kidding, i have had people who grew to hate me in real life just for saying I’m into math.
    2
  27353. Buck vs Fitzpatrick Advanced Calculus: which one? I believe you’ve commented that Fitzpatrick book is easier to read and ( therefore I guess) better suited for less knowledgeable/skilled learners. Am I right?
    2
  27354. Sir , your way to explain , is just amazing / awesome, oooh it can't be defined...
    2
  27355.  @TheMathSorcerer  my pleasure,
    2
  27356. Dover books seem to be fairly inexpensive
    2
  27357. Really helpful. Thank you.
    2
  27358. 1:45 everybody gangsta till the professor lifts his pen and is still writing
    2
  27359. Bro became a gym bro ☠
    2
  27360. Too much of everything is always bad. Balance is required. If only teachers would understand that. Just because an exercise is good doesn't mean we gotta overdo it
    2
  27361. Practice its all about practice -Allen Iverson
    2
  27362. That was so easy wow!
    2
  27363. OMG I don't think your eyes blink that many times hahahahah
    2
  27364. Professor how many part in this book??? You present 1st part only
    2
  27365. The part about the supplies is so uncanny, I literally couldn't tell if he's serious or not.
    2
  27366. It is well known that math is basic and fundamental for all sciences and engineering but can you make a video about math majors and what they can work? Because the idea in my head is that despite the research field their job lay down on teaching theoretical knowledge no implementing like Engineers for example.
    2
  27367. Hey Math Sorcerer. Can you do a video about logarithms of complex numbers with branch cuts? Can't seem to understand it well right now that I'm learning it.
    2
  27368. I would have thought knew of them would have been "I can't"
    2
  27369. Hi Mr. sorcerer! I have a weird doubt, Idk if you'd see this, but here it goes: ek is the member of the group H, right? So, then how have we used ek belongs to G as a result...?
    2
  27370.  @TheMathSorcerer  oh, got it! Thanks for the reply! And your videos have been really helpful! :)
    2
  27371. thank you sir, currently i taking online math class on coursera
    2
  27372. Thanks
    2
  27373. This guy has actually been in some math classes. I do not know if he actually passed any. This is funny but ninety percent or fewer of my associates would get it. It's like the Stooges doing partial differential equations.
    2
  27374. Thank you so much for this wonderful resource. I was always a terrible mathematics students even though I love the subject. Will definitely go through those books to become better.
    2
  27375. The economic laws of supply and demand, and the ideas of primary and substitute goods, remain in effect as you make more book review and recommendation videos. Your enthusiasm and experience concerning these books, while generally laudable, does evince a counterproductive characteristic from the potential book buyer's vantage point. Recommendations, like advertising, raise awareness of, and desire for, particular book titles, which raises demand for them, and therefore, tends to influence their prices upward. An analogous, and stronger, rising price phenomenon may be observed in the markets for older digital single lens reflex (DSLR) camera lenses that may be used with the newer generation of mirrorless cameras which retain the older lens mounting systems. Some of these lenses, formerly available for two-digit dollar prices, are now firmly in the three-digit price range, and a few of the most desirable items are approaching the four-digit range.
    2
  27376. Watching this video on 2x to improve my SPEED
    2
  27377. Thank you very much i love watching your videos it encourages me thank you
    2
  27378. Is Calculus Early Transcendentals by James Stewart 8th edition good enough for self studying calculus 1 through 3? I’m looking for a pretty comprehensive book and I think this one will suit me quite nicely. Was wondering what you think. Thanks!
    2
  27379. Thank you for this review! Something I will read.
    2
  27380. your content getting better every post. And dam you keep making these videos on such relatable experience, i legit sometimes feel like a dumbass, and how everyone else just gets things so easily so quickly and im spending many more hours etc
    2
  27381. Thanks for your great videos, Math Sorcerer 😀
    2
  27382. is that a microphone.... or one of those electric dog collars?
    2
  27383. thank you for the advice. I have one question concerning the books you de review on; How can I get them for a low price (or even for free if possible) given that I'm outside America(the continent) and not in Europe.
    2
  27384. judging by the thumbnail i thought you were just going to say "hands" and then sit there nodding sagely for a minute and a half
    2
  27385. Hm, this is mathematics for elementary school and kindergarten. 😮
    2
  27386. Love your content man! I just subscribed
    2
  27387. Yay! Im in calc 3 right now so this is useful!
    2
  27388. You are amazing.
    2
  27389. I appreciate the Learning experience the older I get...much more than I did when I first started out on my P e r s o n a l learning journey.
    2
  27390. thank u so much!
    2
  27391. I concur with you.
    2
  27392. Thanks
    2
  27393. Exactly what I was thinking
    2
  27394. Mathphobes feeling more pressure seeing this hit a like🔥🔥
    2
  27395. appreciated that
    2
  27396. No better Whoop Ass than abstract math!
    2
  27397. doing Online school sucks, it is a grind and ya it hard. Just keep going guys, like Dora says”Just keep swimming”
    2
  27398. Hah it is so funny.
    2
  27399. When you do a proof,how you know it is correct
    2
  27400. You go step by step. Every proposition should follow from the previous. It is actually nothing but a logic chain. You must create the right chain, or one of the right chains. If you're not cheating yourself, you know your proof is correct. If you have the slightest doubt about your "proof", then it is not really a proof. I mean how one can convince others when he can't even convince himself?
    2
  27401. Positive attitude just before starting my day! Feeling good!
    2
  27402. Book of proof by who?
    2
  27403. My hardest math class was differential equations. I finished my BS in Math in 2003.
    2
  27404. amazing!!!
    2
  27405. You really saved my life👌🏻going
    2
  27406. This is a nice video. I wish I had learned computer science years ago. I will add those books to my home library. Alternatively, I will check them out at Open Library and add them to my reading lists. Right now, I am learning more maths and physicics than computer science (which I am learning only on and off). Shortage of time in the day is always the problem. Few years ago, I took up reading vintage books at Open Library. The first programming language I learned in a week was Pascal. The book was so explanatory that I could learn really fast. Pity, the same author didn't write any books on C or C++. I don't understand COBOL. Pascal had afterwards helped me learn C and C++. I am familiar with HTML, CSS, Javascript, etc, stuff needed for web design.
    2
  27407. I forgot to mention that I am treating all studies as HOBBIES ONLY : maths, physics, computer science, mechanical engineering, chemistry, electronics, etc. In other words, I am not in university and I am stuck with responsibilities at home and parents' workshop. So, I am self-studying sciences at home and doing digital artworks at workplace where I take advantages of the quiet times during trade. My baby sister was a computer engineer till a year or two year ago. She retired too early, as the work was too extremely stressful (I suspect she was deterred by workplace bullies). Fortunately, she was granted pension for life, as she had done much work for corporation employers. She was graduated with a PhD in computer science, when she was 19. She missed only one year in university, when she fell sick with a tumour in her throat. After a year, she made a full recovery and returned to university a year later. She was a minor when she started her first day in university.
    2
  27408. I KNEW IT! HAHA
    2
  27409. Please say using the associative axiom of the group theory in the process of the right hand side's change.
    2
  27410. Please please please do Chemistry too!!!
    2
  27411. Really helpful book
    2
  27412. yes i just double checked, Cartan lived to be 104, born in 1904 and passed in 2008! lotta time for math
    2
  27413. We study these functions in our school in india😂
    2
  27414. do you blink?
    2
  27415. This is why you have online classes which are excellent. A great teacher can reach millions, and maybe this is how education should be? Local professors can do research, and answer questions, give out exams. I wish this were the case when I went to grad school.
    2
  27416. I was going to vehemently disagree with you from the title itself until I listened to the whole video. I have to say this is very good advice if you're a student or project engineer etc. Just understand well enough to do it and don't stress over fully understanding (unless you can easily within the time allotted). I struggled as an engineering student and electrician trainee and never ended up doing either and I think a big part of it was poor time management. I had other bad things happening in life that compounded things making them much harder, so it wasn't just me. But, had I better managed my time maybe I would've been able to still pull through. It wasn't as if I had no understanding of the concepts but unfortunately in academia or work, they care about answers, results or other things, politics etc, not if we understand the why. Now, philosophically-speaking or for self-improvement, I do believe understanding the how/why is very important, but not if it causes someone to get paralyzed over it. So anyway, in short, take it from someone who wishes he had done what this gentleman just said years ago. Manage time well and don't stress over something if you don't fully understand it. Come back to it later with a fresh mind if time permits.
    2
  27417. I have a college math final in two days and I wish I saw this earlier ):
    2
  27418. Thank you so much!
    2
  27419. We need more people like you in this world.
    2
  27420.  @TheMathSorcerer  ok thank you very much for replying ! I haven’t gotten a clear answer anywhere since it’s labor day weekend lol thank you!
    2
  27421. jeff bezos with a wig
    2
  27422. This is so super! I found the idea of linearisation so hard to understand when we did it in Calculus - you explained it in a single sentence and it made sense! :)
    2
  27423. Tysm
    2
  27424. Great video!
    2
  27425. Can I study real analysis using this book, if I haven't done Calc3
    2
  27426. I will try it thank you
    2
  27427. Thanks a lot for your video. Self-discipline is needed!
    2
  27428. Saved my day
    2
  27429. When I was 19 46 years ago I had this text. I bought it for reading material while I was camping 🏕 in the desert. It’s a great book after Calc I and Calc II
    2
  27430. can someone please help me find that susana epps book that he says can be found used for a few dollars? cause i can only find it used for $115 im really interested in the discrete maths and proof writing books but cant find them used for close to $10 dollars like he is describing
    2
  27431.  Hans von Zettour  yaa been waiting for 8 months now
    2
  27432. Thats cute, but where is differential geometry
    2
  27433. No Fear Algebra should be there, shame on you!
    2
  27434.  @TheMathSorcerer  Much appreciated!
    2
  27435. Very motivational, and I'm actually in law school
    2
  27436. Hard agree
    2
  27437. This is so true and can relate to it and understand what you mean
    2
  27438. First. Car Videos are BACK!
    2
  27439. Thank you so much sir 🙏
    2
  27440. I was in the same situation, when I realized that Math is the one 😂
    2
  27441. It is good to see Newton himself motivating others here
    2
  27442. Damn saved my life I don't get this at all now i do
    2
  27443. I've been meaning to review logs. Thank you for the quick refresher.
    2
  27444. Thank you for your video. Thought I was alone in this matter. Retired nearly 20 years ago and started up with intermediate algebra, which I flunked in high school. Still at it. Mostly undergrad subjects, but some a little higher in probability and in matrix theory. Picked up some Wolfram Language and Mathematica along the way. Can't let math it go. Sometimes forget to eat or do other important things. Have read that studying for more than a couple of hours at a time is likely to be counterproductive. Used to be that way, but now I go for 5+ hours with little breaks and don't get tired of it. Would all be much easier if I were "gifted" at math, but I rate my ability at about B level at most. And I never take classes. Hate them - it's the other guy thinking as I passively follow along. And those stupid surprise quizzes to scare the kiddies into doing their assignments. My classes are my books, and since I do not mind spending on math, I have 60-70 of them now, including virtually all the really great ones at the undergrad level. The hard ones show me that I'm not that bright (Spivak kicked my arse for first calc; now not as tough); easy ones show me that I'm not that dumb. I love the problems! What could be more satisfying than solving math problems? I do the problems that are assigned at better universities for the subjects I study, but then I do many more. Again, if I were smarter, that might not be necessary. But I came up in traditional martial arts in which even the masters practice, practice, practice and never leave basics behind. Fifty-plus years ago in my very research-oriented grad school, we students were pretty much on our own. "Don't get it? Go research it! Figure it for yourself!" Came to love that way of learning. So whether math obsession is helpful or healthy, either way I'm stuck with it. In the end "Mama may have, Papa may have. But God bless the child that's got his own." At least I hope so.
    2
  27445. Wierdo😂😊
    2
  27446. That was beautiful
    2
  27447. Find a sponsor, supporter.
    2
  27448. Hi! I've been trying to learn maths from books for some years now but I seem to be really slow. Could you tell me what's your approach while studying? Do you do all the exercises? Read every book from start to finish? Do you take notes? Do you review regularly what you have learned? If not, how can you possibly remember all that information?
    2
  27449. Ages ago, mainly due to awful teachers, I miserably failed at math despite my penchant for science and technology. That "inability" changed my life, but 30 years later that fascination is still alive, revived by the writings by Paul Lockhart (starting not surprisingly with "A Mathematician's Lament"). For a start I'm going through his books so as to get a very basic foundation and a fresh, playful approach, and then I'll hopefully climb the "math mountain" no matter how slow my pace might be. It's too beautiful a trek to not venture it! Thanks for your interesting and encouraging videos!!
    2
  27450. This is a important book to read
    2
  27451. I am a retired engineer and maths enthusiast…I appreciate you for an excellent and jubilant explanation ❤
    2
  27452. I am curious which institution do you teach at ?, sir.
    2
  27453. 1:51 Media Offline ?
    2
  27454. Interesting.
    2
  27455. This guy looks like Jeff Besoz if he hadnt found Amazon.
    2
  27456. Math sorcerer looking jacked
    2
  27457. This is by far the most helpful, well thought out video on mathematics I have found. I was a CS major, needles to say it was not the most math intensive. With my recent discovery of my love for math, ML/AI, and physics, I plan on doing my Masters and or PhD in one of the aforementioned subjects. This video recommends the books necessary to fill in my knowledge gap!
    2
  27458. What’s your opinion on online math websites e.x. MyMathLab or Web Assign? I asked various faculty members and they say that it lessens the work for them, but does it help the students? If you have used one of these platforms before which one would you recommend and do you see a improvement in student success/better understanding of the content? Also do you think students can cheat more easily on the online platform?
    2
  27459. I highly doubt someone has done math with netflix on. Meh maybe calc or something, but not real abstract math.
    2
  27460. Boyce & DiPrima "Differential Equations & Boundary Problems" was my undergrad text. https://www.amazon.com/Elementary-Differential-Equations-Boundary-Problems/dp/0470458313/ref=cm_cr_arp_d_product_top?ie=UTF8 ... back in 1982!
    2
  27461. The IIIrd Edition!
    2
  27462.  @TheMathSorcerer  Still have it.
    2
  27463. Please do review of trigonometry SL Looney Please Sir
    2
  27464. Helpful in Belgium thank you
    2
  27465. Superpowe = watching the writings on the wall
    2
  27466. Zero copies anywhere, as usual 😂
    2
  27467. Came to see beautiful men with long luscious locks and learn cool new math. Was only half disappointed
    2
  27468. I think it very good to enhance our basic
    2
  27469. Suggestion for a video (sorry i couldnt think of anywhere else to post this). I have been looking at this website article for a long time http://www.geom.uiuc.edu/docs/reference/CRC-formulas/node3.html It has profound ideas, relevant to function transformations (precalculus) and also calculus change of variables (relevance to jacobians too), and change of coordinates in linear algebra. Can you make a video on this article , point by point (even sentence by sentence), with examples. I feel like mathematicians should make up their mind, stick to a transformation of the space (which means move everything in the space and keep the axes fixed) or stick to a change coordinates (move the axes, keep the points fixed). I guess different situations make one versus the other more convenient. Also there is a typo in the article " Then to go from the unprimed to the unprimed " There is stuff i don't understand in the article, too, like "this is also the best strategy when dealing with a curve expressed parametrically, that is: x=x(t), y=y(t). " Love your teaching style!
    2
  27470. Fuck yes!
    2
  27471. As someone who wants to become a middle or high school Math teacher...this is something I am excited to eventually dive into! Your love and appreciation for Math has motivated me to get several Math books you highly recommend! Including this one! Which will take me a long time to get into because I need to grow my Mathematical foundations, but baby steps!
    2
  27472. Hi there Math Sorcerer, I honestly get really inspired by you. I feel you are just like me, where you try hard to understand something and challenge yourself. I think if you have made it, I can too. I aspire to be a Research Mathematician. Second person inspires me is Andrew Dotson. You both are unique and so real unlike people who just try to make subject look like it is hella difficult.
    2
  27473. ;)
    2
  27474. Ambition.
    2
  27475. you are a handsome stud my man
    2
  27476. We appreciate content like this. God bless you always.
    2
  27477. Why aren't there more "programmed" math books? I have a "programmed" calculus book from about 50 YEARS ago that is really very good. It seems such an approach would be useful.
    2
  27478. Mathematics has all the beauty hidden in it. Even the formula for beauty comes from mathematics itself.
    2
  27479. What about Mike Artin?
    2
  27480. You had me at hello...
    2
  27481. I do my math on an ipad pro
    2
  27482. youre my fave😍
    2
  27483. More confused than last time ⭕
    2
  27484. Thanks!
    2
  27485.  @duetopersonalreasonsaaaaaa  :)
    2
  27486. What's your take on Donald W. High's book, A concept of limits? https://www.amazon.com/Concept-Limits-Dover-Books-Mathematics/dp/0486635430/ref=mp_s_a_1_3?dchild=1&keywords=dover+limit+book&qid=1610418103&sr=8-3
    2
  27487. Ti-80
    2
  27488. first
    2
  27489. Take a walk. Got it.
    2
  27490. So good
    2
  27491. I'm too lazy to see this video, but thanks
    2
  27492. Walking does help for sure, sleep helps more. Just forget about it, when you come back to it after some time your subconscious might have already wrapped itself around the idea.
    2
  27493. i really wish you were my teacher you give me a sense of guidance and encouragement i rarely find in teachers
    2
  27494. Thanks, I really needed this right now. Been really struggling in my Manifolds/Differential Geometry class but Im gonna still try my hardest and succeed, because as you said, this is my one life and the one shot I get at this
    2
  27495. Thanks for the song...Yeay...🎉
    2
  27496. 😄
    2
  27497. Grateful for the advice and motivation you give. Always forward to my students. Thanks.
    2
  27498. You're very funny! 🤣🤣🤣
    2
  27499. The super formula. I like it
    2
  27500. ....wow If I get my finances right and need nothing else, I'd honestly just go back to study mathematics. I was discouraged from it because of the "scary geniuses" and now I see things completely different. And it may happen.
    2
  27501. X2
    2
  27502. i got it right
    2
  27503. I year ago I started math from scratch. 5th and 6th grade books went in 2 weeks, I did all exercises in my head. Then algebra begun, I have to actually write, 7th grade took me a month, 8th 1,5 month... Now I'm in 10th grade and I move about 5 exercises per day :D I wonder how slow calculus will be. I hope it'll be about the same as now.
    2
  27504.  @TheMathSorcerer  It's not that I do 5 per day because don't want to do more, it's because I don't have time to do more and since the difficulty is keep going up, each new topic takes more time.
    2
  27505. I buy this few days ago for a old book store for 0.5 dollar😅 its an original copy
    2
  27506. I love sharks🦈!
    2
  27507. If you would give us all these books I'll read emm😍
    2
  27508. 🥉
    2
  27509. ;))
    2
  27510. Thank you!
    2
  27511. I needed to hear this. Is ok to skip some things you don't understand at first, maybe save them for later. Honeslty, I don't even worry about it. Nowadays there's so many places on the internet where you can ask for help or search fon an answer that is likely that I would end up understanding all of the stuff sooner or later.
    2
  27512. May be not read several books at time read just two or even one then you should stay focused.
    2
  27513. Wo0o0o0o0W. Thanks a lottttt.
    2
  27514. I’m interested in math now
    2
  27515. Thank you so much for your adivce :)
    2
  27516. Thank You
    2
  27517. You really helped me a lot. Tnx professor.
    2
  27518. Nice
    2
  27519. Interesting that Halmos characterized his text as “naive”. As if to say: read this first, much more to come.
    2
  27520. I can see math in my mind!
    2
  27521. thank you
    2
  27522. Thanks a lot for this inspirational video. It is just a hope and a huge motivation for me. I am hoping one day I will refer you as one of my valuable life's changing people. My dad and mom during their lifetime kept advising me never to stop learning or studying until you die because life itself is about school.
    2
  27523. Paul who? Could not catch the name.
    2
  27524. Multivariable calculus and vector calculus
    2
  27525. That so wonder ful
    2
  27526. Perhaps a review of his books on TeX and Metafont would be fun.
    2
  27527. My 2nd edition is not signed.
    2
  27528. Wow just figured out you have lecture playlists. Just started D/E this week...think I'll follow along with these for an alternate viewpoint as I go. Enjoyed the first one!
    2
  27529. Please show a prefect geometry book
    2
  27530. After seeing the contents feels like wanna get drunk and then go through it ( just kidding I don't really drink )
    2
  27531. But seriously if once thougt understanding or studing math with a bit dizzy mind I do this not by drinking but when I have cold , fever , headache or when I feel sleepy it really feels amazing
    2
  27532. I live in India go in an international school but it doesn't worth it because I am a ninth grader and my high school library doesn't have a library of find where I could get these kind of books for me life without a library is a sin but still it has some interesting novels , historical math book
    2
  27533. 2:20 was literally what my calc 2 professor did for our grades
    2
  27534.  @TheMathSorcerer  thanks sit
    2
  27535. Thanks sir
    2
  27536. This is the book in my grad school library which always attracts me
    2
  27537. lol, the nonchalant/lazy profs
    2
  27538. #MathProdigy here..... Thanks
    2
  27539. Thanks for emphasising this. And also that none of can go back. We only have the present to take action. It's also ok to do nothing and relax from time to time. Indulge a hobby with no purpose, save for enjoyment.
    2
  27540. Really cool-looking book that I'll put on my list. And to indulge my inner pedant, paper to which "raised lettering" has been added, as you found on the homework, is called "embossed." Probably you knew that and just couldn't pull up the word, but there it is.
    2
  27541. Fav channel ever
    2
  27542. 🫣👏👏
    2
  27543. Hey I have that book
    2
  27544. Thank you
    2
  27545. Thank you ☺️
    2
  27546. Brother.. you saved my life. I really appreciate you sharing this ❤
    2
  27547. I really hate this subject 😒😑
    2
  27548. Excellent and inspiring video. Thanks! My trick for self-study of a targeted subject is to WRITE A BOOK ABOUT IT FOR LAY READERS! (It is not necessary to ever publish your book.) There are three steps. 1. Make sure that you have a burning curiosity to learn the subject just for itself. 2. Read a book (or some books), take a course (or some), or other study until you are able to create a starter TOC for the book you are going to write. 3. Write and rewrite your book, chasing all pertinent references, until you would be willing for lay readers to read it! 4. (optional but suggested) Get a mentor who you trust and who wants to help you learn - if you can find one! (The most valuable of the above is to chase references, including academic papers, books, videos, online courses, etc.) Good luck! It works for me - but it takes time.
    2
  27549. Calc 7 :))))))
    2
  27550. lol you gotta get rid of that clickbait title
    2
  27551.  @TheMathSorcerer  as long as it doesn't become a pattern lol
    2
  27552. Dover don't ship outside the USA, so you need to buy them via another seller if you are outside the USA. Abebooks is where I go to, with a fair amount of caution, I always check on other booksellers first. I have a very old edition of the Lang Algebra. I wonder how many changes there were for the latest version. But yes, it's very slick.
    2
  27553. EE is all math lol
    2
  27554. Very interesting: sqrt(-e * -e) (does not)= sqrt(-e) * sqrt(e) I did sense that something was not so right at that step though!
    2
  27555. I think that cheating is wrong both by a logic and a moral point of view. I'd rather go talk to a professor than cheat on his tests, it's more worth it. But even so it depends on the person. Did he study or not? Did he struggle or not? Did he even try? Or was he just lazy? There are good and bad excuses, and I think that in some cases you can get away with them. I know that teachers do understand sometimes, they are humans too, and as you said, they can be in a lot of stress just as students.
    2
  27556. Sometimes when people try to motivate me, I feel like they are demotivating me even more. Idk what's wrong with me but something is wrong for sure. Edit: I m not directing this towards any specific person.
    2
  27557. hey 2023 people .. hello from 2274... It took me 3 lives to complete level 4 .. just telling you in case you are thinking of taking up the challenge .. 😄
    2
  27558. Algebra really looks different.
    2
  27559. Do you think there is a hard limit to the amount of maths you can learn in a day? I want to take a very difficult course at school (further maths) and so am trying to study really hard but sometimes i just lack the motivation and feel burnt out and like there's way too much to learn. Sometimes i feel like I'm taking too much time to do questions but I'm doing them as fast as i can. It's a bad feeling and other people just being insanely naturally talented with no effort doesn't help with my confidence.
    2
  27560. También me gustan las hojas lisas porque ahorra papel y evita la incómoda tiranía de los renglones.
    2
  27561. "How bad you want it".... that is the thing.
    2
  27562. Thank you
    2
  27563. LoL the proofs are in the appendix. Yes, I'm looking at appendices now.
    2
  27564. that chalk tho
    2
  27565. I do my self in calculus 1 and finished I need now to get ready algebra
    2
  27566. Thank you!
    2
  27567. What's DNE, does not exist?
    2
  27568. I took calculus 2 in my second year of collage failed it the first time (Series), retook the course that year barely passed (again series), and this semester taking differential equations my professor explained It again didn't understand. Online courses will vary from quality of audio and my professor has a heavy German accent and almost a robotic sounding voice so listening to him was impossible. He referred your channel and that of professor Leonard. I was reviewing with your videos and I finally understood series. Took a year and 4 professors to finally understand series.
    2
  27569. Number 5: being on drugs all the time
    2
  27570. Nice one! I think im ready for a video on inter universal teichmuller theory
    2
  27571. Jeff bezos ?
    2
  27572. If my professor allows it, maybe I could send you an exam from Yale's math 230/231
    2
  27573. youre a great guy buddy ty
    2
  27574. We don't all develop rational thinking at the same rate.
    2
  27575. "hardest calculus problems" (shows standard problems for a prepa student in France)
    2
  27576. Great review...plz review calculus by howard/anton
    2
  27577. Thanks man! You seem to be talking directly to me at the right times! Haha thank you for your work.
    2
  27578. Oh, quite an agressive title. I’m sorry to disappoint you but I’m a real engineer and i find mechanical pencils much more useful, second would be pencils, but I definitely use pens only if I don’t have other options. You don’t make mistakes to be erased, sorry, I’m really not that pretensious. But if you want to keep your mistakes just don’t erase them.
    2
  27579. Open your eyes wider
    2
  27580.  @TheMathSorcerer  Hi Prof, do you have kind of a community chat like Discord or something? 😁 BTW, yesterday I just watched a short movie about Yitang Zhang and I found his life story is very incredible.
    2
  27581. I need this book now. Thanks for sharing!
    2
  27582. Is constant function differentiable everywhere??
    2
  27583. im not here for math this is somehow helping me with my breakup
    2
  27584. Sooooo.... Obviously this book needs to be burned. How dare we not leave the answers to the reader!!! xDDDDDDDDDDDDDDD Hahaha.
    2
  27585. Love you sir,best math teacher.All Hail The Math sorcerer!!!!!!!!
    2
  27586. I know nothing about the medical field, but bad teachers and parents at school age can definitely stunt ones development. Destroy it entirely. Traumatize one and make mathematics a phobia.
    2
  27587. This is really helpful! I am grateful for your help!
    2
  27588. This isn't just math advice: These are life truths you're spitting.
    2
  27589. Do you have Real Analysis by Karl Stromberg? Look at that and then consider...he was blind.
    2
  27590. GREAT VIDS!
    2
  27591. That thing alone could stop a bullet
    2
  27592. I have more than these.
    2
  27593. You healped me a lot, thank you very much
    2
  27594. People seem to forget Nikola Tesla gave more to the world than Einstein and Feynman put together.
    2
  27595. I still vividly remember logarithms and exponents, I believe it was the last thing I learned before the pandemic happened which is kinda morbid, now whenever I see a function with an ln or e in calc, I think about the pandemic lol
    2
  27596. New subscriber.....love from India (Assam)
    2
  27597. Mathematics that laymsans may think: finish math problems competitively fast as speedrunner. Mathematics irl: Try to work out one problem for days, months, years, yearsssss. Without consistency everything is unreachable.
    2
  27598. Praise be the Math Sorcerer!!! Your mystical spells are saving my grade.
    2
  27599. I don't know why that is, but according to one professor, our undergraduate program (Colombia) is much better than the US but that quickly changes in graduate programs. I think his words where "It's weird, american undergraduate programs are trash but their phd's are amazing"
    2
  27600. Referring to your 2nd. point, this is why I question the worth of having these interactive exercises in maths textbooks. The very presence of this material is a distraction in itself. It just isn't needed and doesn't add to the learning experience.
    2
  27601. What is the difference between Advanced Calculus and Undergraduate Analysis I?
    2
  27602. Currently trying to write my Master's thesis on Inverse Problems and I've hit a brick wall (mentally & mathematically). Uninspired and unmotivated 😔
    2
  27603. Hope you will make a video about why people love math or why we love math😁
    2
  27604. fire. thank you very much!!
    2
  27605. Amazing astounding super!
    2
  27606. Great
    2
  27607. I love your videos and it's great to see variety in your content. You're inspiring me to study math!
    2
  27608. I already got this and can assure anyone it’s great
    2
  27609. Thanks so much. You say this often, but it needs to be said often. Your very sharp, also very engaged with life possibly because you know you have endless opportunities which maths provides. It like always being a teenager with options throughout life.
    2
  27610. nice, more book reviews
    2
  27611. Let me tell you one thing... In India, 99% of the students simply memorise questions. In grad level, it mostly evens out. In the IB system, we start calculus from class 10 (no matter if you opt for science field or physiology, or philosophy or history). In class 11 we keep making advancements in calculus and they give us an introduction to calculus 3. In class 12, we get to do calculus 3. After almost mid year, there is an option of doing linear algebra and geometry (we get a 344 pages book) and then if we want, we can also opt for doing some real analysis. I have also heard that some people learn topology (although very basic, but we get the necessary introduction to the subject).
    2
  27612. THANK U BROOO
    2
  27613. very nice, thanks
    2
  27614. Thank you
    2
  27615. 'Wow Im so good at math Imma go do an olympiad' does an olympiad 'Oh well apparently I am bad at math'
    2
  27616. I have studied Languages since I was 20 Swedish for 2 years at the library same book many times over and as a bonus learned English grammar ,after returning from Norway.Then during that time I noticed a book on the shelf Kuriles Question And started Ainu, Siberian ,Uralic , in Japan 33 years Ainu with Japanese during that time Started Finnish and Karelian because Ainu does not have any Grammar explanation terms so I want to try use Finnish to explain Ainu language they are far apart geographically but have similar syntax word building system there is no demand but I like to do something that is really complex there is no school or anyone doing it.
    2
  27617. <sarcasm> I was looking for my cutting board. I think you have it as a backdrop for title page. When finished could you please return it? Thank you! </sarcasm> For an actual Calc book comment, I think I used the Ellis and Gulick 2nd or 3rd edition. :)
    2
  27618. For me, that's the most difficult thing to do.
    2
  27619. I not ready to admit that I might smell my books. But I enjoy this content.
    2
  27620. Purchasing immediately. I also bought Wake Up and loved it. Your work is awesome, keep it coming!
    2
  27621. Merry Christmas Math man, I will look into getting this book
    2
  27622. I see a modern physics book in the upper right corner ... I wonder what it could mean
    2
  27623. Retake exams? Lmao I wish
    2
  27624. when you see Newton post a youtube video, you click on it
    2
  27625. Richard Courant used to have students to mowed his lawn on weekends.
    2
  27626. needed this today :) thanks
    2
  27627. Nice one 👍
    2
  27628. So this wasn't just my mathematical education, it's everyone's?
    2
  27629. Also, there's one more thing to have, you need a purpose. There are too many subjects in mathematics. You need to know what you want to go before you start the sailing.
    2
  27630. Bro, your content is really good. Life as a student of mathematics is really hard, and your messages add some context to it which makes it easier and more fun. Thank you!
    2
  27631. Advice? Sure. Prepare for the exam. Remember, evaluation will be based upon your performance on exams and less so of your high marks on homework. Find out what the exam will test: computional acumen (where speed and knowing formulae matters) or conceptional understanding wherein understanding, not just knowing, definitions, examples matter most. An easy class is one where the exams are like standardized tests e.g. AP, SATs, GCSEs vs challenging classes offer exam problems a step or two below Putnam / IMO level.
    2
  27632. You are my therapist
    2
  27633. Thank you!
    2
  27634. Final exams in the context in which they’re used today, shouldn’t be a thing anymore. I never understood the point of being tested on material that you were already previously tested on. If you’re gonna have a final exam, make it to where you’re being tested on new material. It’s less stressful, and there’s not as much cramming you have to do.
    2
  27635. I really like the message in this video.
    2
  27636. You pretty much described my whole undergrad. I always studied on my own, lectures were useless for me. This was kind of detrimental for grades though, but now that I am at grad school, it's the only way, hahaha.
    2
  27637. You can't put off the inevitable. (:
    2
  27638. Good explanation
    2
  27639. Please also focus on new practice sessions too, I am really really excited on any new video and amazing hard questions of calculus
    2
  27640. Put these words on EVERY math syllabus in the country! Wish I could of took this approach...
    2
  27641. 6. All the low hanging "math fruit" has been picked. 7. More money in finance.
    2
  27642. Thanks for ur help bro
    2
  27643.  @TheMathSorcerer  Well I have a few, what's your collection at the moment? I've been collecting and using them since I was 9, I'm 21 now and still I only have twelve spanish math books. I love your content by the way :) thanks for replying
    2
  27644.  @TheMathSorcerer  There is an outstanding source of very old engineering, physics and math books from the soviet MIR publisher translated to spanish. They are pretty inexpensive as well. Apparently they translated the books to spanish in order to help cubans get up to speed with science (Cuba and the USSR had a very good relationship back then being both communist countries)
    2
  27645. When I first learnt college calc I found the hardest thing to get my head around was limits. I wasted too much time on limits.
    2
  27646. No views?
    2
  27647. Lol we used logarithmic and trigonometric tables in high school.
    2
  27648. this is a though subject! I will really try to read this one. thank you math sorcerer!
    2
  27649. Security Analysis by Graham is harder than Advanced Calculus
    2
  27650.  @TheMathSorcerer  Yes sir, I am a business school student, value investor and hard reader (Also a Buffett - Munger fan) who tries to survive in that economical bubble lol.
    2
  27651. Hie please help me with Calculus 2 full lectures
    2
  27652. my heart just cried watching this ❤️😭
    2
  27653. Your thumbnail indicates that the upper limit of integration is also y.
    2
  27654. The Math Sorcerer How many days does it take to master this approach?
    2
  27655. We used Charles Curtis's book for senior year. Very challenging to read, but very elementary, proving tons of first year linear algebra. The definition for a polynomial totally came out of left field for me. For some field, F. https://photos.app.goo.gl/BDwsEbJX7awjZ4Ep7
    2
  27656. Amazing
    2
  27657. Found out about this theorem a few months ago. Extremely useful!
    2
  27658. This video isn't loading for me for some reason. :(
    2
  27659.  @TheMathSorcerer  false alarm! Thanks for all the videos!
    2
  27660. Even small progress in self study is a great experience, if one solve 1 problem today one should keep in mind that after sometime productivity will increase and one will be able to solve much harder problems/ understand very complex ideas and it gives confidence.
    2
  27661. Thank you so much. I badly needed this. Really appreciate the work you are doing!
    2
  27662. Great video!
    2
  27663. Which book do you recommend to get strong at writing proofs? I'm a CS grad student with linear algebra, discrete math, logic and statistics as background. But I'm still very weak at writing proofs.
    2
  27664.  @TheMathSorcerer  thanks! I'll go pick one up. This video was very helpful :)
    2
  27665. can you please show how to prove Clairaut's Theorem? I couldn't find a clear proof online :(
    2
  27666. Thank you so much
    2
  27667. Good explanation Master
    2
  27668. thank you, professor.
    2
  27669. 1:51 is so good
    2
  27670.  @TheMathSorcerer  Happy new year sir!!!
    2
  27671. 0:18 Take inspiration for your own Ex Libris 🙂
    2
  27672. Thanks for posting this. Really helping grasp the topics for my class. What textbook are you teaching from? Thanks!
    2
  27673. Wow Thank you.
    2
  27674. I must stop in 5:41 to say -this is great , i love your presentation
    2
  27675. can u send me to a video to answer with "if y varies directly as x, and y=35 when x=7, what is x when y=25?
    2
  27676. I feel your pain. I imagine time is an issue, but you could do a fire sale? Great have a solution, I was a bit fast off on the comment.
    2
  27677. nice
    2
  27678. Im good with language and music but when someone tells me whats 9×4 my mind goes blank and i have to use my fingers or remember what the answer was LOL but i will definitely be checking these books out.
    2
  27679. its so hard for me to study intense subjects like math in the summer. I need that natural light to make me sane. It gets dark at like 4:30. I could have extra 3 hours left of studying in summer on natural light!
    2
  27680. u got that mad scientist hair going
    2
  27681. My daughter threw her math book on the floor and was stomping on it with her feet screaming that she hates math. I told her the problem was that the problems were too easy and that she should ask the teacher for more difficult problems. Tell her you're fed up with this easy stuff.
    2
  27682. Thanks
    2
  27683. Can you sent pdf?
    2
  27684. Thanks a lot, your explanation is so easy and to the point.
    2
  27685. There must have been a search to find the most difficult language to teach young people how to program. And C was born.
    2
  27686. Thank you
    2
  27687. Why is this in my recommended?😂
    2
  27688. Speedway is the small city in Indiana where the Indapolis 500 racetrack is located.
    2
  27689. 2:20 Ohhhhhh man I hate grading schemes. Calc III: 5 assignments worth ~1% each, I didn't bother doing them. Got 90% (cuz who has time to finish those damn things??) on the final exam (prof and the course syllabus said that if you do really well on the final exam, then the final exam grade will be your course grade). Prof gave me a D+ because I didn't do the assignments. Yup, had to retake the course. Oh, and of course the assignments take hours upon hours to complete, even though they are worth ~1% each. And I'm speaking from the experienced "I already know how to do this" side since I had to retake the course. I can't imagine how long it took fresh students to do those assignments. What a fucking money scam. 10 years later and I've never used a double or triple integral in my life as an engineer.
    2
  27690. Laaaavvvvvv uuuu
    2
  27691. That 's great
    2
  27692. I'll also be taking a history of mathematics course and doing a senior thesis. Each course is 10 weeks (quarter system) so I'm on track to be finished in 2 years as a transfer student. I transfered in with calc 1 and 2 and linear alg.
    2
  27693. That's pretty easy compared to Cambridge Tripos. They start with Analysis and Diff. Equations in their first year.
    2
  27694. I really enjoyed this video. Thanks for sharing your wisdom. I guess I have always been exceptional at math but the moment when I started to look at math as more than just a subject was in the 7th grade when I started to learn about inequalities and the number line. I am currently in my 5th semester of college and I am taking linear algebra. I think I love math and respect it more now than ever because back then, math was a goal, but now math is my passion.
    2
  27695. I love you sir ❤️,can you come india
    2
  27696. Thank you for the encouragement and advice Sir. I'm currently a final year undergrad hesitating whether I should just continue postgrad at my current uni, or perhaps at a different uni (possibly overseas) for a different experience. Your advice do give me more confidence in pursuing the latter choice. Hopefully I can get some scholarships to make that option possible! 😆
    2
  27697. the video was helpful. thanks
    2
  27698. Now make a video on secrets of mathematics 🤞
    2
  27699. Great tips! I'm taking accounting and there times I want to quit but just like you said.... I have to remember why am doing this!
    2
  27700. Math Major here, I agree. Real Analysis is the hardest!
    2
  27701. Just curious as to what your definition of "a few dollars" is. I'm from Canada so finding a textbook under $100 is rare for me lol.
    2
  27702. Use Ebay or bookfinder if you're looking on Amazon
    2
  27703. He's recommending older textbooks that you should be able to find used copies of. Also, once a new version of a book comes out, the older version is heavily discounted.
    2
  27704. Just started linear algebra as a course. Even though our main textbook is the Anton one we're going to be taught from different books as well. I was wondering about the Grosaman and the larson edwards books, are they worth purchasing?
    2
  27705. love the sniffing part lmao
    2
  27706. I WOULD LIKE THAT THOMAS CALC BOOK
    2
  27707. Is there a place I can get that exact looking book? I like old style books cuz i think they are cool to collect. The one you have there looks cooler in my opinion. But I'd still be open to getting the newer one.
    2
  27708.  @TheMathSorcerer  xD
    2
  27709. I started taking math classes again in 2009 or so after an almost 30 year gap, and found I had picked up some horrible test anxiety. I used to be REALLY GOOD at math, and on exams, but the old confidence was gone. I think it was due either to the fact that I put a crud-ton of pressure on myself (I wanted to "right the wrong" of having stopped my math education) or to the fact that I haaaated the approach of the "Harvard Consortium" textbook the classes used. :)
    2
  27710. Can you suggest books for counting and probability
    2
  27711. we got two weeks off and then the rest of the semester is online man
    2
  27712. Thank Your So Much. You have done a great thing, I was searching for Mathematics branches for learning these branches categorically and a single branch completely.
    2
  27713. Do you think I can use this as my main textbook for learning Discrete Math even if the prof assigns a different textbook?
    2
  27714. I am Professor... Dork... LOL!!! 😆
    2
  27715. Thank you for this kind of content! I made a self project 2 years ago where I made my own summer curriculum (since i don’t have to do anything from that break aside from chores). Then I just choose some courses I want to learn even though others might see it hard to start off e.g. Real and Complex Analysis, Topology, Oceanography, Relativity, etc. Sure, I didn’t fully grasped it within the time frame I’ve given for myself but I realized that learning is a fun thing to do. Til now I can still remember what I’ve study back then, it was one of the best decision I’ve made. However, going through that kind of self made curriculum 😅 it requires a lot of self discipline and you must always ask yourself why the heck you’re even doing this to go on. Your videos inspire me to do this kind of activity again and learn higher maths while taking my engineering courses!!
    2
  27716. Good video!
    2
  27717. Mathematics does not have finish though....
    2
  27718. I think math people often use word definitions that are not normal. This is hardly what I think elitist means. Computer scientists are elitist because they look down on people with less ability.
    2
  27719. God bless you! One of my favorite videos
    2
  27720. god bless your soul my man
    2
  27721. Thx man, u really help me
    2
  27722. how would you rate Maran Illustrated Algebra book?
    2
  27723. THANK YOU FOR HELPING ME IN THE TOPIC BUDDY
    2
  27724. Hi, I have always wanted to learn about metric spaces, I have have thought of them as being an interesting subject in mathematics. Do you know any good places to learn about metric spaces?
    2
  27725. Just do it. Don't think too much. Just dive into the math swimming pool. There's a shallow end. There's a deep end. Both ends are filled with numbers.
    2
  27726. My school doesn't have a class called "Advanced Calculus". Somehow I find the concept of "Advanced Calculus" very vague. I would argue people should just call it "Real Analysis" lol.
    2
  27727. 😂😂😂
    2
  27728. You know they’re American when they preface/caveat “going for a walk” with “as long as it’s safe”. It’s sad how even as tourists in Europe they get scared at the distant sound of fireworks.
    2
  27729. That's really not the experience of the average American, lol. And no we don't get frightened by fireworks and dive behind tables. We say, "whose shooting off fireworks at midnight?" You are watching too much telly.
    2
  27730. loving the beard my man
    2
  27731. English is not your first language really :D. I would not even think about it :)
    2
  27732. Sorry english is not my first language either. I am not sure whether I speak what I meant :). I meant that I would not even notice it because of no accent and the natural speak, thank you
    2
  27733. Mine is turkish :D. I started to learn english when I was 18 and now I am 22 years old. English education in primary school and high school in turkey is very inefficient I can tell. So I learn it in university english prep school. I can understand english very well but speaking is a whole different world :)
    2
  27734. Juiced up einstein.
    2
  27735.  @TheMathSorcerer  but actual differnation answer is that....
    2
  27736. It's another way of differnation so u have to put h=0 on the final equation so the viewers can understand that ......
    2
  27737. But did very well .....and easy to understand....
    2
  27738. Thanks
    2
  27739. Review jee advanced maths paper 😮
    2
  27740. I am gonna comment you to review Apostol calculus 1 and 2 till you upload that video.😅😂.Hope it doesn't become a problem with you
    2
  27741. Yeah, that's about right, but throw in Real Analysis, Complex Analysis, Numerical Analysis (non-CompSci), and your choice of Number Theory, Advanced Probability & Statistics, and maybe Group Theory. I had Combinatorics and Graph Theory as separate courses, but loved both of them. Small, dense textbooks, however.
    2
  27742. Dude the math sorcerer would be the coolest guy to get trapped in a zombie apocalypse with lol
    2
  27743. Thanks a lot...why couldn't i think of this...
    2
  27744. Can we also add a kindle version, because I am from India I don't have the access to the book
    2
  27745. thanks. you did well in helping me. great vid you live up to your name.
    2
  27746. Thanks
    2
  27747. I remember that book from my computer science school days
    2
  27748. Btw books do matter
    2
  27749. This was so good! Thank you professor.
    2
  27750. Gracias tu explicación me ayudo mucho a entender la transformada de y''
    2
  27751. Where do you look for cheap math books?
    2
  27752. I'm starting to think that you can read mi thoughts through Internet... I want to thank you for all your advices & SUPPORT... I mean... I've been always very insecure about myself. About what can I do... Always filled with anxiety and self-distructive thoughts Then I listen to you & realized that there is nothing to be afraid of. I just need to work. I just have to focus on what I want because, since the beginning, this is what I wanted Thank You! Thank you for being who you are! Greetings from México c:
    2
  27753. +The Math Sorcerer Hi, thanks for the great video, loved your method but I'm wondering about a certain type of example. I.e. where you skip derivative terms. I know y''+y'+y=0 is linear but is y''+y=0 linear?
    2
  27754. With discrete mathematics, for complete math beginner, would you recommend Kolman or Epp?
    2
  27755. Im learning discrete math and having a hard time.
    2
  27756. this video is for me thank you
    2
  27757. I also taught myself how to code (in python) when i was in high school.
    2
  27758. Tq math sococer your curve style to write's bomm.
    2
  27759. Thank you sir
    2
  27760. The first one, I'm pretty sure isn't ok to flip it like that. Also, I tried to solve the problem, but I copied it wrong, and came up with -24x^4-120x^3-912x^2+1704x+27912. It should be just a single number, but I don't know how to do interdependent variables yet. I think I also copied it wrong.
    2
  27761. These books are useful for jee mains and advanced..
    2
  27762. Please reply bro these books are enough for both jee mains and advanced..
    2
  27763. 👍👍
    2
  27764. I love mathematics ..but I don't have a degree in maths
    2
  27765. 🎉🎉
    2
  27766. I hate that PASSWORD shit!!!! 😠😆😆😆
    2
  27767. goodluck! 💕 i bet you'll learn everything you need to know and score perfect marks.
    2
  27768. thank you
    2
  27769. This is really cool, thank you
    2
  27770. Thank you so much
    2
  27771. Wooe dude, I hope you get your money back!!!
    2
  27772. This is very encouraging :) thanks for sharing
    2
  27773. Thank you!
    2
  27774. Please make a video on geometry books 🇮🇳India
    2
  27775. Wow
    2
  27776. seems i should buy it i9n leather bound original but all things change in use and application
    2
  27777. When I saw the thumbnail of this Christopher Lloyd looking guy, I just knew he was gonna give me some good math advice😂😂😂. Im taking the GMAT in a few months and wanted to say thanks.
    2
  27778. That was epic!
    2
  27779. bro looks like the older brother of jeff bezos
    2
  27780. awesome! more videos like this please!
    2
  27781. Just ordered the book
    2
  27782. I don’t understand why testing for 0 is enough and you don’t have to check for every integer between -7 and 1
    2
  27783. Nice
    2
  27784. Hello, I was wondering what kind of Mathematical background do I need to go through the 'Book of proof' b6 Richard Hammock if I skip the calculus chapter? If I read that book, will I get enough proof knowledge for Micheal Spivak? Or do you suggest another proof book you think is better?
    2
  27785. Jeff Bezos after leaving Amazon
    2
  27786. Truly a math sorcerer, THANKS
    2
  27787. FINISHED
    2
  27788. How is it that you mentioned that the disk and washer stuff is harder than all the integration techniques covered in calc 2? While I do agree that the volume section is very tricky it definitely isn’t harder than solving for integrals. Solving integrals requires you to solve them using the 6000 techniques used and for you to use your mathematical creativity to approach them. Lacking this creativity will make you struggle. I think this section is hard as series.
    2
  27789. Use real books and no electronic books
    2
  27790. Little off topic, I have noticed that the sound of the videos starts with one second of silence, I have a decent rig and 200megabit connection and low ping, maybe it's because of Ubuntu with latest NVIDIA drivers, so maybe it's a bug on my machine, so I have to rewind pretty much every of your videos to listen the sound from the beginning, so consider adding one second intro with title )
    2
  27791. God bless you
    2
  27792. Excellent Channel
    2
  27793. I love Maths and the idea of learning it I love it A lot 😂❤
    2
  27794. Beautiful Message Indeed, Math Sorcerer!
    2
  27795. Its been 10 years for me and it feels great
    2
  27796. Friedberg, Insel, & Spence
    2
  27797. What do you think about the “Linear Algebra and its applications” by Gilbert Strang textbook?
    2
  27798. Thank you!
    2
  27799. Thank you all for helping me 😀
    2
  27800. yes, I agree with you.
    2
  27801. Great one . it's all about balance remember you are not a robot and some subjects needs a bit of effort and the right approach to click if not you are doing something wrong
    2
  27802. Sir I wrote an email to you but you not reply please reply it
    2
  27803. Thank you so much I am in class 9 but I still watch👀 your videos.... I used to hate mathematics but now after your tips 💡I love mathematics
    2
  27804. I agree. It is good to believe that if someone can do it , so can you , and even if you are still unable to do it , you still have to continue to believe that if you try harder or apply a more effective method of studying/ practicing then you will eventually succeed. This is the belief that people who succeed have.
    2
  27805. Your awesome dude. This is great advice .
    2
  27806. ❤
    2
  27807. A librarians dream.
    2
  27808. WHO CARES NINJA
    2
  27809. The best! Thank you.
    2
  27810. Thanks
    2
  27811. I remember I used to struggle with these in trig, but when I learned all the different trig identities, these became almost fun to do! I never viewed it as a question on a test, but more like a fun puzzle to solve!
    2
  27812. This make so much sense and meaning and do wish to understand more and see what you mean. Thank you. A lot
    2
  27813. I love your videos, you're completely right! What Is the maximum number of hours per day that you think is useful to study math effectively? Considering that also resting is important to let the brain work in diffuse mode (Sorry for my english, hope you'll understand the question)
    2
  27814. It now feels so easy. Thank you!
    2
  27815. 👍🏼👍🏼👍🏼
    2
  27816. I love your videos. I like to make people laugh too, but it doesn't always work. Lol. Laughter is the best medicine. It has no side effects and no co-pays.
    2
  27817. ~
    2
  27818. Bro u look like Jeff bezos with hair
    2
  27819. great
    2
  27820. 2021issac newton,
    2
  27821. From where can we get such book?? Please i need it its my first year., 🙏🙏
    2
  27822. If incomplete than consistent
    2
  27823. I don't usually take notes but it has nothing to do with having photographic memory, to me the reason is so as to be paying more attention to the class while the professor speaks. The only reason I can do this is because when I study for my exams I use the books, and so I get the opportunity to read an transcribe to my notebook what seems I believe it's important. I believe this method of taking notes is superior because you are taking notes with some information about the topics so you can make notes that are of much higher quality. This does have a downside though, it takes a lot more time to go through the entire book again, probably taking notes and only going to the book for maybe parts you don't understand is a much more efficient technique.
    2
  27824. Math is amazing once it replaces words in your head. You can do tricks with it.. Puzzles n shit. Communication.
    2
  27825. As an current electrical engineering student, do you have any suggestions on easy ways to understand Fourier Series and Fourier transforms? Laplace is generally easier for me to understand but Fourier is over my head
    2
  27826. Online, All you need is... Reality, along with x, y, & z. I tried, but they lied.🥀
    2
  27827.  @TheMathSorcerer  Thank you!
    2
  27828. Sorry, but my favorite person talking about fear has to be jim cunningham / patrick swayze
    2
  27829. You're great man keep up
    2
  27830. This deserves a sub to the channel
    2
  27831. I haven't ever watched any video of yours before, but I knew I have stumbled upon a gold mine when this video came in my recommendations.
    2
  27832. Learning through solutions to problems that often cover the edge cases of theories is from my experience the most effective way to learn concepts. The time you saved up can be then used on further exploration of the subject matter or fixing your sleeping schedule. Its not the author's job to tell people how they should learn or whether they should bang their head against the wall at this particular stage of the learning process. His job is to lay out the theory and edge cases and after that he can f*ck off.
    2
  27833. Thanks a lot !
    2
  27834. What branch of engineering?
    2
  27835.  @TheMathSorcerer Sincerely gratitude to you sir. Your videos has helped me a lot
    2
  27836. I did not notice the cockatiel until a few minutes in lol
    2
  27837. Sir, you are the best.
    2
  27838. Thanks.
    2
  27839. Well said
    2
  27840. Thank you Mister
    2
  27841.  @TheMathSorcerer  thank you!
    2
  27842. Math Sorcerer ruining some noob's xmas.
    2
  27843. That's a very nice collection, i wish i could afford the half tbh hahaha
    2
  27844. You're my role model. I passed my prob and stat class this semester with a C+. I'm pretty sure the final and my second midterm compensated for my first midterm...
    2
  27845. How many videos do u have uploaded in total ?
    2
  27846. I will definitely start learning math 🧮 today and this afternoon
    2
  27847. I'd like to include 4 of my personal favorites for perspective & community comments: 11: Do online searches for Video tutorials / workshops & also Channels (e.g. Math Sorcerer...LOL) 12: Do online searches for worked problems & solutions on Topics in User Forums (many exist) 13: Build a Library of reference & research material - (cheap/used) physical books, downloadable PDFs, etc 14: Plenty of FREE, Math Software exists covering a lot of disciplines (e.g. 3D Graphers, Geogebra, etc) Golden rule: "Mathematics is not a spectator sport..." so practice problems, read, study...over & over...LOL
    2
  27848. Great video! This man is very passionate and I can admire that!
    2
  27849. Look like a book I good to have... Does that book has an ISBN ? Tried looking and nothing comes up. Where did you get it ? Enjoy your books reviews... Thanks 👍
    2
  27850. I want to be a super genius
    2
  27851.  @Hi_Brien  yes...
    2
  27852. Saved my test
    2
  27853. Thank you for your honesty sir . I suppose we learn through our mistakes and so we have to make them . Really enjoy your encouraging videos . Makes me realise it's not only myself who has these difficulties . Keep doing your magic 😉
    2
  27854. can you make a video on the other titles of this type of book which demonstrates topcis very easily such as biology please?
    2
  27855. Also known as SICP (pronounced sic-p)
    2
  27856. ack, hoping I have many books🤗
    2
  27857. This channel is beautiful ♥️ 💪
    2
  27858. Do I need to study calculus before studying analysis by this book?
    2
  27859. Mathematicians are precise, engineers are consice. There is a huge difference. So it follows that Mathematicians are elitists and engineers are practical.
    2
  27860. To study math on your own, IMHO, one should be OK with reading a lot and should have a lot of patience! Such a person can learn! Some are OK with memorizing few things so that they can finish the task at hand and find time for other subjects. That is fine is you are not gonna need that math in your daily work, like when you are in some other profession.
    2
  27861. Please someone explain to this man how to hold a pencil
    2
  27862.  @TheMathSorcerer  S.L.Loney books on Statics, Dynamics, Higher Trigonometry etc were also quite popular. Available in exceptional hardbound covers. Not everyone's cup of tea. Old is gold.
    2
  27863. ♥️♥️♥️♥️
    2
  27864. Thank you
    2
  27865. That jinx was perfect timing hahaha.
    2
  27866. Thanks sir this is a very helpful video
    2
  27867. There Is two other factors: 1. Sometimes the answer does not even make sense, like in proofs the answers to all the problems will end up using more space that the material. 2. Related to the previews one: each additional page costs money. 3. Some books have teacher editions, or complementary material that contains the answers. That is more at the calculus and precalculus level.
    2
  27868. I've been searching for a video like this, thank you!
    2
  27869. I am taking DiffEq this fall and I feel like the Boyce DePrima ODE book that most universities require has taught me nothing -- I purchased this Schaums outline and the Dover book on ODE's to hopefully ace this class.
    2
  27870. I really like how this guy speaks.
    2
  27871. ❤️
    2
  27872. Great
    2
  27873. I love these vids -- please continue to nurture us
    2
  27874. Great explanation! Thanks!
    2
  27875. I suggest you to watch the movie! It is inspiring. Thanks for your words.
    2
  27876. No lo había visto jajahaja
    2
  27877.  @TheMathSorcerer  Lol y como se llama el canal
    2
  27878. 2real lol
    2
  27879. Are you interested in the philosophy of mathematics?
    2
  27880. new sub because of this
    2
  27881. I am SO glad I found this channel today, I just want to thank you and all the other professors uploading videos helping us out. I am sincerely grateful for all the work you guys put in.
    2
  27882. Thanks! Agian, understanding the formulas is key.
    2
  27883. I made it all the way through an undergraduate degree in physics without taking a class in linear algebra (despite the objections of my advisors). Only later did I find out that this was a big mistake (since corrected). I now view it to be just as fundamental as calculus. Advice: Don't miss it (either from a scientific or pure mathematics viewpoint)!
    2
  27884. Super nice video da
    2
  27885. Hello sir, have you ever tried books about mathematical economics and/or books about econometrics ? If yes, did you find it interesting ?
    2
  27886. I'm really struggling in college atm. Thank you. I have a goal to aim towards.
    2
  27887. Is this book available for international purchase?
    2
  27888. Woohoo! MTG!
    2
  27889. u r the best
    2
  27890. Thank you bro so satisfying
    2
  27891. LEONARDO DA VINCI OF THE 21st CENTURY, I SWEAR TO GOD
    2
  27892. There is NO FINISH!
    2
  27893. I think I have a problem in "writing" math. I can read math, understand written equations, solve problems after specific chapters. But what I lack is the ability to take a plain paper and fill it with mathematics. I don't know how to develop this skill? You know what I mean?
    2
  27894. Thank you 🙏 from china 🇨🇳
    2
  27895. Neuroplasticity. Those who develop the neural connections for skill activities at a younger age generally have more fluency in the skill and can acquire knowledge using the skillset faster than those who began later. This is why all the top chess players begin at about six.
    2
  27896. I think calculus is tough because things happen at minute levels and requires some kind of imagination.
    2
  27897. Is it the same for g*f
    2
  27898. I wish you were my professor
    2
  27899. Dude, you might actually save this semester
    2
  27900. Jeff? Is that you?
    2
  27901. Yes!!!!
    2
  27902. Merry Christmas and a Happy New Year ! Great information. Thank you !
    2
  27903. Math finishes?
    2
  27904. Sound practical advice, good advice. :)
    2
  27905. This is great!
    2
  27906. You have me convinced. I think that this is your best video.
    2
  27907. nice but pls do math ques
    2
  27908. Could you recommend abook for self study d.e?
    2
  27909. ah ah ah "10% of grades comes from washing my car during weekends..."
    2
  27910.  @TheMathSorcerer  "And remaining 90% comes from BUYING the handbook I suggested to you, after contract with my publisher..." ahahahah
    2
  27911. It's definitely a book that is outside of copyright protection (as you said, "so old it's free"). I looked on Project Gutenberg for it but it hasn't been uploaded as of yet (hint, hint).
    2
  27912. Thank you my online maths mentor ❤
    2
  27913. Can you please share a advanced book a person should read after reading that one
    2
  27914. i feel like you just got me battle ready to go to war with my textbook
    2
  27915. Does one need to read a book about constructing proofs before starting a math book?
    2
  27916.  @TheMathSorcerer  I mean proof-based books. And does it depend on the subject?
    2
  27917.  @TheMathSorcerer  Thanks for the answer, sir.
    2
  27918. Dear math sorcerer I hope you re doing well Please can you make a video on engineering mathematics at college level.
    2
  27919. Why isn't there any Jeff Bezos memes? He kinda looks like him.
    2
  27920. Exactly. Never give up. It is a challenge.
    2
  27921. your delivery somehow reminds me of the joker lol
    2
  27922. Thank you so much sir.😊
    2
  27923. Wow that’s amazing! Is it also for masters degrees?
    2
  27924. Russian title page says the author's names, then "multiple integrals / and series" then the publisher/publishing house, and moscow on the bottom.
    2
  27925. Now if you integrate this will you get sine inverse root x
    2
  27926. can you do a video on how to explain maths. Im in uni and i understand the content but i have no idea how to word my answers well or explain
    2
  27927. helped a lot with binomial expansion, thnaks!
    2
  27928. I wish I saw this when I was younger. Now I'm 40, but I still like Mathematics and continue reading.
    2
  27929. Great book great vid as always
    2
  27930. I have done physical training in all of its forms for more than 20 years and I think I have some perspectives that could help. First of all, any activity is better than no activity. Period. With that out of the way we can get into the minutia of efficiencies. Bodybuilding, maybe like you may have discovered already, is much like the scientific method of physical activity. It takes things in isolation, compares theories on the best methods for annihilating that specific muscle/muscle group and then records that progress. This is both bodybuilding's biggest strength and it's biggest weakness. It is a strength because it shows you unequivocally, how to best target a single muscle. This is important to know, as it can help you address weaknesses and imbalances in your own physique. It is a weakness because bodybuilding treats the human body as a sum of individual muscular components worked individually instead of treating the body as a whole and a cohesive muscular entity. Bodybuilding in itself, done exclusively, will form imbalances and disorder in the muscular systems of the body and possibly the nervous system of the body if done to extremes A much better solution for those who are not specifically competing in bodybuilding is to take whole body activity approaches that teach the body to work as one unit. I am personally a fan of martial arts, but also a big proponent of body-weight centrist strength development. Teaching the body to move itself through space more efficiently is the end goal of the body. The body does not want to be 250Lb of muscle mass, nor does it want to be 250Lb of fat. It is most at equilibrium when it is lean and capable of handling all natural movements with great efficiency and grace. For a great visual contrast watch competitive gymnasts and then watch competitive bodybuilders. Who seems to be in less pain, enjoying life the most and moving effortlessly? I went down the bodybuilding hole for a good ten years and it brought me nothing but constant pain and misery. After focusing on martial arts and gymnast style movements, it not only corrected all the damage I had done to myself over the years bodybuilding, But it expanded my body, spiritual and philosophical awareness. The body and the mind are very connected. The more cohesive your body can work with your mind the better both will be. Trust me when I say, exclusively bodybuilding will not help that cohesiveness. You need full body aware natural movements to balance the body and mind. The simplest move to demonstrate this relationship is the back bridge. Start with the easiest forms, then work your way all the way up to stand to stand bridges. The difference you will feel in you whole body will be like rediscovering your body again for the first time. It takes dedication, it takes effort, but so does mathematics. It is clear you have proven you have a warrior mind set. This goals should be effortless in comparison.
    2
  27931. Thanks man
    2
  27932. Get out of here man, why do you look like Jeff Bezos ... love the video, thanks for the knowledge
    2
  27933.  @TheMathSorcerer  I will try it
    2
  27934. i dont want to be mean, but you look like a deepfake of jeff bezos
    2
  27935. Hello Gandalf
    2
  27936. How many integrals deep can you go?
    2
  27937. Thank you!
    2
  27938. while basic set theory seems innocent, advanced set theory was the hardest stuff i ever did in my studies and seemed insanely abstract and hard.
    2
  27939. Excellent review. Question for you dear sorcerer. If you had to pick/recommend 5 maths books similar to this one, that (with a lot of elbow grease) could take someone’s maths skills from O’ Level to near PhD level, what would they be? Thanks
    2
  27940. The Math Sorcerer Thanks
    2
  27941. Thanks for all the videos Mr. Sorcerer! I'm using that Bond and Keane book this quarter! ... I'm being eaten alive by some very basic set theory
    2
  27942. Thank you!
    2
  27943. Genius is coming from the word the djinn
    2
  27944. alfan un maestro que ni explica bien, los demás ni seles entiende
    2
  27945. Did I miss something? Are you playing MtG?
    2
  27946.  @TheMathSorcerer  wow man, very nice!
    2
  27947. This is so true. I think people who know me would say I'm decent at maths, and I wish that I could tell them that I probably spend most of my time getting maths wrong; it's just that I make sure I can get it right whenever we have a test. Eventually, I hope to have done every possible wrong thing, because hopefully I'll start doing those wrong things less and less over time. Anyway, good advice, hope that lots of people can see this.
    2
  27948. Bestfriends not really available when its not your treat😁
    2
  27949. omg I have the same pencil sharpener
    2
  27950. Outstanding collection
    2
  27951. Dear Math Sorcerer, I hope you don't mind my asking you this question but where are you from originally? I was stunned to learn that English is not your first language as you speak it so well. I would also like to take this opportunity to say thank you for all the videos you do as they are so motivational. Please keep doing these videos as they are so helpful to everyone. Take care of yourself. Best wishes. June.
    2
  27952. I am studying final year math. I want to understand the moment deeply from the beginning. But I have done a lot of mental lesson in my parity times and now I want to learn fully. Can you tell me any book to learn?
    2
  27953. I think that my mathematics (or computer science, or to a lesser degree, physics) "obsession" mostly revolves around my desire to just learn as much of it as I can, and in particular how and why something works. I've never particularly been interested in mathematics from a problem solving angle, although I do enjoy that. I suppose that I really just like to frolic around in the meadows instead.
    2
  27954. Me instantly giving up the moment after I saw the questions in a matter of 0.5 seconds
    2
  27955. Hi, got this in recomendations and I was curious about it. I want to know if this books are really '' Learn mathematics from Start'', like I mean maybe you can avoid the basics like 3+5=8, but I mean like from a highschool point to the pro level? Because my math is pretty basic, always hated it but lately i have found it quite interesting. Would like to see the logic more than anything, cause that is the thing i lack the most at solving problems and stuff lol.
    2
  27956. Watch out, that's bigfoot territory.
    2
  27957. Actually this works for everything, thanks!
    2
  27958. thank you so much!
    2
  27959. Jeff Bezos? 😂
    2
  27960. Cool color flag on the sections....you remembered to whiff.....lol
    2
  27961. First 2 really hit home, I work part time and for some reason all I can think of lately is quitting because it still feels like 30 hrs/week is too much. It sure sucks to be poor.
    2
  27962. Hello! I’m wondering where you bought that shirt of yours? Thanks!
    2
  27963. An Introduction to Ordinary Differential Equations by Robinson is pretty good.
    2
  27964. Ayo tysm
    2
  27965. hello welcome to my class this is calculus 7 LOL you got me thier
    2
  27966.  @TheMathSorcerer  you know professor your awesome cause you respond to all the comments. i really appreciate your effort thanks a lot
    2
  27967.  @TheMathSorcerer  That said, this is all really enjoyable content and super helpful for seeing different takes on what I'm currently learning.
    2
  27968. Thank you so much for sharing this with us 😊
    2
  27969. Would you mind enabling captions?
    2
  27970. Glad your last video showed you that the algorithm is favouring your content. Nothing better than reaching out and teaching the masses Math and tools for learning. Thanks for the content.
    2
  27971. You forgot to include the effects of the bean burrito and beer function on the outcome!!!!
    2
  27972. I like how you emphasize F and H. And to add to the music part, I realised that songs eith good constant rhythm makes my brain somehow think in the rhythm, it will give pace to my thoughts. Plus on tests when i remember a song I do the certain problems better because I was studying them to that song 😎. Also dedicated schedules dont work for me mostly in life in general, and I think I perform better when im in the mood and its spontaneous. Thanks for the video! They are always useful and stright to the point!
    2
  27973. You're fantastic
    2
  27974. I always come to your videos, thank you for empowering my dreams!
    2
  27975. Me: I need this! Let's go!! Me: 22 seconds into it. I am already yawning. (jokes aside, thank you!) 🙏 [I need this]
    2
  27976. ":elbowcough:Smelling the book feels like"
    2
  27977. Second
    2
  27978. Nevermind, I forgot the integration of "1" on both sides, I didn't notice the "y" next to -5ln|y+3|
    2
  27979. I don't agree , I think that it's equally important to break down complex math into basic axioms , and thereby understand them .
    2
  27980. Could you do a video on possible jobs/career choices with a undergraduate/graduate degree in mathematics, whether it's some you were interested in before moving towards academia, some that you had friends go into after graduating, or just some you know about? On that same note, when you switched over from CompSci to Mathematics, did you know you were going to go towards academia, or did you have another career goal in mind at first? Thanks!
    2
  27981. boards already bent?🙃
    2
  27982. Feynmann and Dyson
    2
  27983. We’re not elitist, we’re just better than everyone else
    2
  27984. Sir, please also a video on how to make the best use of a reference book along with our textbooks. It is a tussel to balance both.
    2
  27985. Happy Thanksgiving! Where are the Math Book🏆 Awards?🏆
    2
  27986. Math is a great way to keep your mind young and agile. I've seen math people in their 70s or 80s with a mind as agile as someone in their 20s or 30s.
    2
  27987. Oh man this is too good. I was dying at "Homework is good to do"
    2
  27988. I don't think I have gotten to density functions, but I know they're super important! So this is cool!
    2
  27989. not to brag, but I actually watched this video at 2x speed
    2
  27990. you are a legend
    2
  27991. Amazing video
    2
  27992. Quite easy, but quite clear! Waiting for more mathematical videos!
    2
  27993. 8:32 my Elementary Linear Algebra Lecturer recommend this book with 11th edition
    2
  27994. Can you do one for graduate level, to be a quantitative Finance expert. What do I have to learn to be able to understand stochastic models and Brownian movement. The basics to learn computer science in a deeper level. I suggest you to do a how to learn the math that your career major needs. That would be great! Greetings !
    2
  27995. There is another resource that allows calculus to be learned easily by hand, literally. Level N of Kumon Math (no, not marketing for Kumon) has worksheets that allows one to learn by working from simple to complex differential equations in incremental steps over 200 worksheets organised in 20 sets of 10 worksheets for each level of difficulty. Hand-eye-mind connection is attained with little sweat and much achievement for learners as young as 15 years old.
    2
  27996. Thank you so much . you explained it very easily
    2
  27997. Convergence is hard if you are not good at. Exponents
    2
  27998.  @TheMathSorcerer  Do you think that engineers or people who use applied calculus would benefit from being able to do proofs?
    2
  27999. Stamp is exactly like the one in my old school district textbooks of the 60s. Looks like what might be a Math 3 & 4 high school book today; a merging of Algebra 2, Trig, Pre Calc and Calc topics. You might have to look online to find the answer book.:face-purple-wide-eyes:
    2
  28000. I have said attendance wasn't mandatory. I have also said homework was not graded or mandatory.
    2
  28001. Sir i wish everyone explained like how u did
    2
  28002. thank you 3>>>>>>>>>
    2
  28003. Thank you!
    2
  28004. i love you
    2
  28005. Hahaha this is great
    2
  28006. You look mad scientist enough so i'll hear your advice
    2
  28007. Hello professor I am from India . I am very bad at trigonometry functions , my mind just blows up whenever I see a Trigonometric function question . My mentors say just by heart the formulas but I don't want to . I am a grade 11 student and struggling with trigonometry from last 2 years . I hope you would make a small video on my problem . Namaste 🙏 and merry Christmas . Stay happy and stay safe 😊
    2
  28008. This was very good, and that's a pretty groovy shirt
    2
  28009. Good advice!
    2
  28010. I completely agree with you sir
    2
  28011. Thank you for putting the links to the books in the description! Appreciate it.
    2
  28012. thank you so much :)
    2
  28013. Welcome to calculus 7. Holy shit, I laughed, and hard.
    2
  28014. thank you so much this was the most helpful vid ever
    2
  28015. I can't thank you enough ❤️
    2
  28016. I'm starting a math major and I am taking discrete math during my first term starting in September :D
    2
  28017. I think the best reason for someone to not study math is that they don't like it
    2
  28018. Reminds me of a professor i had in Galois Theory in the 1970s. He's still alive actually...
    2
  28019. I don't know why I was recommended this, I'm trying to learn calculus but if I were just learning how to divide two fractions this would be very helpful
    2
  28020.  @jacobharris5894  haha same!
    2
  28021. Dr. Huberman x Math Sorcerer
    2
  28022. Now i am able to understand maths... Magic
    2
  28023. Do answers with proofs always have one answer or can it be a variant of the methodology with the same answer?
    2
  28024. Well, I'm the one who have a lot of gaps in my math knowledge. I hope this list of the courses and books will help me. Later, if I will not forget, I will write a report about it. The major reason why - I was a biology student in my old university, but I've moved to a new one in the new country, but sadly here I found a place only on the geology faculty. So, I really need to study well, for come back to biology and move from geology faculty, because I really like Biotechnology and hopes to be a good specialist in it. 14/11/2020
    2
  28025. Pro tip: Don’t listen to the little voice in your head that tells you “you can’t do it”
    2
  28026. You make sense. I consider the world to tend to the most efficient form possible. Make it efficient to do math.
    2
  28027. Thank you very much!
    2
  28028. watch tv, play video games, watch twitch
    2
  28029. What books do you suggest for me to learn math from scratch until I have the maturity necessary to study on my own all the math required to a CS degree (linear algebra, discrete math ...). Thanks!
    2
  28030. ​ @TheMathSorcerer  But before these books you suggest which titles for a better foundation(or refresh) in basic and high school math? 15 years since my last math class lol! Thanks!
    2
  28031.  @TheMathSorcerer  thanks!
    2
  28032. Older books smell better.
    2
  28033. You really sound like gil from the show YOU
    2
  28034. A MAGIC Math Sorceror! ☀️💀💧
    2
  28035. Very clear n calm explanation thankyou
    2
  28036. A delight of video! Your enthusiasm and affection for all these books are contagious. I am an engineer, graduated over 30 years ago, going back to math study, this time for fun. The 'map' your offer here for those interested in math self study seems to me incredibly valuable. I will defintetely get back to this video for reference books in my self-inflicted delicious torture I am about to take.
    2
  28037. También funciona la regla de L'Hopital
    2
  28038. Hi Math Sorcerer, not sure if you’ll see this as this is three days later, but can you please check out this differential equation book written by one my math professor at my school Arizona State University. His name is Stephen Wirkus. The book is called “A course in ordinary differential Equation” whatever edition you’d like. Thanks!
    2
  28039. "breadth and DEATH" yeah i guess that's what math brings me lol
    2
  28040. You see there's knowledge? And there's wisdom.
    2
  28041. Mtg reference... 💜☮💙🌐💚👽💛😎🧡🏴‍☠️❤💯💥L337
    2
  28042. Did you just convince me to drop out
    2
  28043. Awesome, thank you.
    2
  28044. Very cool presentation and what an awesome book to have in your collection. I love these older books, I just recently picked up mathematics for electronics 3rd edition circa 1970. Originally published as mathematics for electricians and radiomen 1942.
    2
  28045. most appropriate logic of all!!
    2
  28046. OMG I'm just starting to make sense of Algebra .. but like .. it's the tiniest smidge of light through the door! So all letters mean something, but nothing at the same time. Theyre numbers but with letters. So you could input any numbers to get the desired equation.
    2
  28047. Do you have to pick your specialty in math before applying to grad school? I still haven't figured out what branch I'm really interested in yet...
    2
  28048. I was watching this and my mom came in and said good work buddy, and got ice ceam
    2
  28049. Instructions unclear, my friends are now math.
    2
  28050. Nice. Starting from now.
    2
  28051. RIP
    2
  28052.  @jasonvelez-pico6254  || have you took any of these classes?
    2
  28053. Excellent tutorial indeed!
    2
  28054. Great video!! Thanks
    2
  28055. Im in high school taking pre calc and I don't understand anything about the trig.
    2
  28056. Wow I wish I could have all these books
    2
  28057. Awesome video. Distasteful clickbait.
    2
  28058. birdie❤
    2
  28059. thank you very much you save my life ... more and more ♥♥♥♥♥
    2
  28060. So if Time is a limiting factor then it is a constraint on life. So if I apply the different factors that go into the time spent I am able to have translate them into variables where each variable represents the activities done. So if I can define the amount of time I do doing other things then I can use an optimization approach to maximize the amount of time I can use to study. Correct me if I’m wrong. :)
    2
  28061. cool
    2
  28062. I died laughing at "calculus 7"
    2
  28063. I guess I am the first one to view, Thanks for the helps you've done TheMathSorcerer.
    2
  28064. Erm, I'm looking for the finger-painting class?!
    2
  28065. nice
    2
  28066. Lmao I never thougt your playing games.
    2
  28067. Cool! Bought the book! Sadly, I got the electronic version, so it doesn't smell quite so nice.
    2
  28068. I really needed to hear that. I just started my first semester at a uni that's pretty good for maths, but what's really making me struggle emotionally and physically is the sheer amount homework. It's just sooo much and in times like these it is incredibly hard to find someone to study with. It always slows me down, and I'm already too slow. I just wish it wasn't mandatory to score at least 50% in total - that puts me under a lot of pressure. I need a bit more time to comprehend everything. I'm sure I will come back to this video over and over again in the course of the next years. Thank you!
    2
  28069. So glad I finished my degree last year 🥵
    2
  28070. Hi Math Sorcerer, I am about to go into high school and I was wondering if you could recommend me books on algebra 1, algebra 2, high school statistics, pre-calculus, and trigonometry.
    2
  28071. Thanks for making videos ❤️❤️
    2
  28072.  @TheMathSorcerer  😇
    2
  28073. I'm 60 and working on a mathematics degree. It's never to late to begin something new.
    2
  28074. I really needed this!
    2
  28075. I really need some Riemann integral explanation. Anything you recommend? I'm nearly dead.
    2
  28076. Well, I like both subjects, but ee seems more interesting.
    2
  28077. great tips sir
    2
  28078. Nice. In analysis exams at my college, only a little part of points is given for differentiating by using the formulas. The vast majority of points are for calculating in these problematic points. If it DNE then at least we calculate left and right derivative.
    2
  28079. self study should take the place of college, not primary- to high. This way you choose what you want and go for it, else it's Mc Donald's for you lol
    2
  28080. U ARE AWESOME
    2
  28081. 👍
    2
  28082. Thx dude no idea how you still kept your hair with that hairline
    2
  28083. 🎯
    2
  28084. I bought Topology for beginners by Steve Warner. Math is not spectactor sport
    2
  28085. Hello Sir😊 I'm big fan of yours.... 😊 Love from Kashmir ❤❤❤❤ Same problem with me Can I get your correspondence email?
    2
  28086. Thank you! When I stretch myself too much, I feel burnout and it takes a couple of weeks for me to recovery. I feel exactly as you mentioned. It is good to see from you that is better to go a little more slowly but without breaks.
    2
  28087. Good stuff
    2
  28088. That was my very thought. Trying to figure it out on my own. I took a two week long aptitude test similar to that 5 minute one Donald Trump took. They've been giving that test at the division of vocational rehabilitation since the early 80s about 50 people per month in our location. Thousands of people have taken the test, I tried to find out how many but they wouldn't tell me or I couldn't get the answer. My counselor told me I scored in the top 10 people ever taking the test, mathematics what's the high point answering questions others don't. A b c D or e more or less the options. I didn't necessarily know how to do the problem straight away but I attacked the questions in different directions where I wasn't sure of the formula. You do a math problem four or five different ways and one of the answers pops up that's on the test have sex with none of the other numbers pop up, I was able to answer the questions. Being able to know what the answers are helps your confidence that you're attacking the problem correctly. When I took college algebra I was stuck and instructor time was filled with him talking with Einstein's at the board with no time for me. I was really frustrated throwing my book. I didn't finish the class.
    2
  28089. Thank you sir and salut from the other side of the planet 🇵🇸🌍✌️
    2
  28090. will you please make a video with advice for the upcoming academic year? maybe for first year students who don't know whats going on around them :P
    2
  28091.  @TheMathSorcerer  Thank you for replying !! I'm already sure I'll find it helpful and encouraging
    2
  28092. Certainly a different era in education. Because of or thanks to the arms race between USA and USSR science was booming. The secret agents were stilling intellectual property heavily and foreign scientists were adding to it their own discoveries.
    2
  28093. Hey, do you have any recomandations for statistic books? Or probability? I really wanna get into it, and I don't know where to start. Calc don't bother me, or algebra, I studied those, but I'm 0 at probability or statistic or any math related to uncertanty. Great video btw :). You're the one I come to when I want to buy books for maths.
    2
  28094. 100% grateful for this, thanks man
    2
  28095. I gave my copy to one of my students when I retired. It is a good book.
    2
  28096. When you cheat you cheat yourself, everyone knows it.
    2
  28097. so relatable, I'm crying
    2
  28098. Some algebraic topology books please, and the point set topology books recomended are awesome
    2
  28099. Thank you!!
    2
  28100. A timely message for me. Thank you Math Sorcerer ❤️😭
    2
  28101. Hey MS, How is this book compared to the book by Gary Chartrand, Albert D. Polimeni & Ping Zhang
    2
  28102. Sir plz recommend the books for measure theory
    2
  28103. Great video and background as always!
    2
  28104. Sadly i do not have enough resources to buy these books, my friend (and my bad influencer too) internet will have to go with me through my path of studies.
    2
  28105. Thank you!
    2
  28106. Damn straight 6hours🤯
    2
  28107. my friend, you rock!!
    2
  28108. Isn't that R and R*, mean the "set R" and then "not set R?" Its been about 35 years....
    2
  28109. It was an interesting video but I have a feeling I might be a bit out of the ordinary in this regard (which is why I felt this video didn't really apply to me). I'm studying upwards of 8 hours a day every day and I feel the happiest I have ever felt. Probably helps that I have an extremely introverted personality type that doesn't need social interaction.
    2
  28110. Has it ever happened to any of you to have so many difficulties in solving some math question, that you even dreamed of it?
    2
  28111. Mate, I love your videos. This channel is one of my favorite channels!
    2
  28112. this is super helpful. Thanks!
    2
  28113. Legend
    2
  28114. Are these textbooks good for self-study? Do they have the answers to all the problems with explanations?
    2
  28115. Taking Probability and Stats I rn (300 lvl) it is tough! Got finals coming up soon 🤕
    2
  28116. This is one sexy book. I’ve spent a night too many with it
    2
  28117. Last night I spent hours trying to find out why the 5x5 matrix I reduced was different, and it was just a negative sign
    2
  28118. same here....lol
    2
  28119. It’s a good thing, right ? Math is poetry of our life. It’s everywhere )
    2
  28120. Profesor usted es un rifado, gracias por los videos en verdad son de mucha ayuda para todos los que queremos entender al 100 el curso, saludos desde México
    2
  28121. "Nobody develops muscles by reading workout books and manuals"!!!
    2
  28122. Thank you, really useful video 👍
    2
  28123. yooo post some content and do a live
    2
  28124. 100th like from me, thank you
    2
  28125.  @TheMathSorcerer  also i wish the statistics recommendation from a non math person point of view who doesn't have an extensive practice in maths
    2
  28126. not elitist, but definitely elite.
    2
  28127. Studying engineering and we don’t bother with silly limits we just plug in infinity and call it a day 😂 the math sorcerer would keel over if he saw my notation
    2
  28128. Another nice video well done!! Thanks much, Math Sorcerer!!! :) :) :) :)
    2
  28129. U are sooo cool 😀😀😀
    2
  28130. This helped a lot, thank you!
    2
  28131. There is no finish.
    2
  28132. One video , one problem and a half of theme👍
    2
  28133. if you are doing calc 2 and its not required for your degree. What is wrong with you🤣
    2
  28134. Thank you sir
    2
  28135. Kinda looks like his brother is the second wealthiest man in the world.
    2
  28136. I learn math faster if I know why I'm doing an action
    2
  28137. I suppose find my approximation like monte carol integration, Gaussian quadrature or power series because some of it is really hard to calculate If u try to get it with U substitution some time u need to be lucky lol
    2
  28138. Don't 'Limit' yourself! Be infinite! :D
    2
  28139. Lol this class was amazing for the first time I learnt understood and laughed, Thank you Kyle, Dylan and the Sorcerer great stuff
    2
  28140.  @TheMathSorcerer  thank you
    2
  28141. Math Sorcerer, will you do the Finance and Trading book collection. At these time it might be an important investment to read 😌☺️😁
    2
  28142. I really don't know where you heard that BS about "you must be gifted to be good at math"! Who says that? Who says such a load? The above is not rhetorical... it is meant to be taken as a genuine question requiring an answer - I mean, just do a cursory head-to-toe of the guy... I'm quite sure you'll come to realize that the person saying that is - er, to be polite - less gifted in almost every intellectual department. What we do say is - "Oh, he's so gifted in maths! Oh, she's so gifted in maths!" And that sort of a statement is absolutely valid and justified. People are gifted. Thinking otherwise is evidence of a strong detachment from ground reality. If no one is gifted then the word "gifted" is meaningless. If everyone is gifted then the word "gifted" is meaningless. So, the point I'm making is - there will always be a group of outstanding performers in every context. Not everyone. That's why they're called "outstanding". HC-JAIPUR (18/12/2024) .
    2
  28143. Thank you Professor.
    2
  28144. Could you stop reviewing and introducing all these great math books?! Now I have to buy another book because of this video. 😭
    2
  28145. http://c-faq.com
    2
  28146. Seeing over 4M views for a math video is something wonderful ✨
    2
  28147. Sir if you don't mind then what type of books are in red colour in your shelf
    2
  28148.  @TheMathSorcerer  what are schaums books
    2
  28149. How can I pass calculus I? 😇
    2
  28150. The Math Sorcerer I’m in math dept.Am I the only one who thinks that calc 1 is even harder than special relativity?Whats your thoughts
    2
  28151. جميل👍
    2
  28152. Believing that you won't or can't will just prohibit growth and improvement, to improve is to believe and use that as motivation to succeed.
    2
  28153. Hello bro you are really a special person I learnt a lot with you in this channel so I thank you for that. I am a math student from Morocco I got my bachelor degree in math this year but I get rejected in master so I am a little disappointed so I need to study on my own this year some new concepts please any advice on how I can overcome my disappointment and study hard ?thank you very much
    2
  28154.  @TheMathSorcerer  I just saw your comment professor thank you so much for replying. I was rejected without passing any exam only I didn't find my name in the list unfortunately this is how things go in Morocco sometimes. But I will not give up and I want to make this year my best one because it's really an opportunity for me to get better .any advices please professor for starting number theory some great books maybe?
    2
  28155.  @TheMathSorcerer  thank you for saying that about the Moroccan students professor
    2
  28156.  @TheMathSorcerer  thank you so much
    2
  28157. Thank you Math Sorcerer.
    2
  28158. this is EXACTLY what I needed. Thanks so much
    2
  28159. "The end of the world" 🤣😂😂
    2
  28160. So when the slope of a tangent point is being measured it just means the slope of the line that is tangent to the graph?
    2
  28161. Thanks 👌
    2
  28162. A basic question: where to find math problems? For instance I am targeting machine learning field, what specific advice you can give? :)
    2
  28163. Hi Sorcerer. I failed maths when I was 14 (Below 20%). When I was 15, I asked the teacher when we'd use some of the maths topics in life and the teacher simply said, "To pass your exam" and that is when I gave up and failed school so badly that I had to be held back a grade. I then moved to to another country where I repeated a grade for the sake of it and failed that too. In my last year of high-school I did start to think that I should try though I could not expand a bracket nor rearrange an equation. It was tough catching up with 4/5 years worth of work in my last year of high-school. Miraculously, I passed high-school and went to uni. For some reason I majored in mathematics. I did have hopes to go on for post graduate studies (O/PDE or Calculus of Variations) but due to health reasons, I took a less strenuous path and started my own private tuition where I break the concepts down (MATLAB simulations if required) to kids who struggled like I once did.
    2
  28164. Ask Fermat or Riemann when math ends. They'll throw out something that is supposedly trivial to prove that takes mathematicians centuries to actually work out.
    2
  28165. Nothing worse than 'programmers' debating what language is best, 9/10 the same people look at you blank when you start talking about the types of data structures or algorithms. Learn computer science first and foremost then worry about the languages, they are just the right tools for the right jobs.
    2
  28166. You can do anything! Sou brasileira aprendi só assistindo vídeo da Lei da Atração ❤ todos podemos “naturalmente “ criar
    2
  28167. P->Q does not imply Q->P. Many people miss this simple fact.
    2
  28168. Just gonna put this comment here for the record. I'm not good at math but I'm practicing it everyday since today and goodluck to all of you on your future Endeavours.
    2
  28169. what university do u teach at?
    2
  28170. Also cool integrals!!
    2
  28171. Great video, thanks.
    2
  28172. Thank you! really nice
    2
  28173. Das war eine tolle Hilfe für mich. Vielen dank. آلممنون.❤
    2
  28174. A Million thanks!
    2
  28175. TYSM❤❤❤
    2
  28176. f for every mental breakdown that happened because of maths
    2
  28177. I took some classes and started collecting the workbooks you suggested along with some Shaum’s books. It is so fun rn being on summer break to know enough to sift through them. To start on chapter one and proceed to the next chapters when I get bored of the previous bc I actually have no stress and only time rn to grasp it and work on a manageable amount of problems. I hated school last semester but taking a break and being able to breathe into the math books I choose is so much better. I like math more than piano rn. That is the opposite of last semester 😂❤ PS. I love when you smell the math books, I am not alone on this! Are there more like us?? Hehe PPS. Thank you for speaking about burn out. It hit me so hard last semester to the point where I had to find resources. Things got ugly 🤦🏼‍♀️ so no. Not that random. Pretty relevant❤
    2
  28178. The best way to learn C? Read old C/C++ Users Journal magazines.
    2
  28179. Math Sorcerer, what I love about you is that you were once an ordinary joe like me but what separated you from most others was passion for the subject. That goes to prove that : Genius is one percent inspiration and ninety-nine percent perspiration. -Thomas Alva Edison I am going to keep pursuing what I am doing with the same dedication and passion and not succumb to insecurity. In fact, please do make a video about combatting insecurity when learning math and why you should not measure your progress based on other students performance.
    2
  28180. This isn't relates to the topic, but oit of curiosity how old were you when you started your first semester in college?
    2
  28181.  @TheMathSorcerer  nice! I went back to college this semester and I am about to turn 25. I have the old man feeling lol.
    2
  28182. Nice sir.
    2
  28183. I'm getting distracted from learning math by watching this video 👀
    2
  28184. I can speak for italy: we do not have such thing as calculus. We just do real analysis from day 1. Who survives survives. Usually many just opt for another course after 6 months. Similarly with algebra: we start with abstract algebra so group theory etc nobody goes through the elementary matrix theory etc u need to know it, the books are there if u did not study it well in high school. We just do proofs over proofs over proofs from day 1. Sometimes this has sideeffects: you may happen to find weirdoes that know how to prove the change of variable in more dimensions say with the partitions of unity by hearth, but can t solve a trivial ODE. It s just the lecturers think more about what s useful for research in pure maths, we basically do not have applied math in the undergrad, or very little...
    2
  28185. Love these videos so much! Nice work!
    2
  28186. Such wise words!
    2
  28187. I love this idea. I will try it.
    2
  28188. Hello
    2
  28189. i love this image speaks of itselft frames, pretty damn relaxing
    2
  28190. ​ @CondorAHLS  I look forward to finding these books.
    2
  28191. Not to study? O just wrote down all the numbers oh PI. :)
    2
  28192. Gandhi ji has quoted this but originally Gautam Buddha said this - " The mind is everything. what you think, you become."
    2
  28193. P.S. thank you for the example.
    2
  28194. Calculus in its "modern form" has existed for at least 150 years. My aching question is: what is a good advanced calculus text?
    2
  28195. Nice explanation sir🙏🙏🙏
    2
  28196. incredible video
    2
  28197. I am former Navy (1996-2000).
    2
  28198. <3 <3 best channel on yt.
    2
  28199. I love your videos. Short, clear and just straight to the point. Thank you ❤️
    2
  28200. Great video! Thanks a lot!!
    2
  28201. I'd say a good advice is try to think and solve the problems on your own, if you feel like you're getting stuck, research
    2
  28202. My nomination for the worst book in Abstract Algebra goes to Goldhaber and Erlich. While it had the disadvantage of being mistaught, it soured me on Abstract Algebra.
    2
  28203. Cool. Thanks
    2
  28204. Howard Stern Junior
    2
  28205. this guy thinks and doesnt blink
    2
  28206. 100% agreed
    2
  28207.  @TheMathSorcerer  Okay. Thank you.
    2
  28208. Nice one sir
    2
  28209. Hello, I want the solutions of these books Would you please tell me from where i can get them??
    2
  28210. mathematicians are functionally minimalist due to our inability to actually make money so we cant afford shit
    2
  28211. Can all these books be completed in 3 years? (about 3-4 hours per day)
    2
  28212. Incl. cheap days. I am an undergraduate, I fairly know enough of mathematics, I was reading strang which is fairly an understandable book for me but I didn't feel that I was getting the best out of it.I just don't want to stick to answer based approach, I wish to develop theories.
    2
  28213.  @TheMathSorcerer  Aight, thanks man
    2
  28214. Is this for Calculus 1, 2, or 3?
    2
  28215.  @TheMathSorcerer  : Ok.
    2
  28216. you rock!
    2
  28217. Excellent video, and it is indeed helpful for someone in the world, like me a mexican physics student
    2
  28218. I love the size of the older textbooks! :)
    2
  28219. I really think that your channel is the best math channel on youtube. When I feel unmotivated to study I always see one of your videos and rediscover why I sit everyday on my study table just to open a book, that doesn't related to anything else that I study on High School, and study. I really love the true maths and your channel keep me motivated to study. Greetings from Mexico :D
    2
  28220. I have desire for maths all day long. I'm a student at UoA Maths Department in Athens, and I study maths from noon till dawn. No time to waste. "Ο χρόνος είναι χρήμα" we say in Greece...
    2
  28221. I would say that's a little more than just a math test - there's quite a bit of applied engineering theory one would need to know, too.
    2
  28222. Doesn't look much different from any other engineering exam of that period. I'm from UK born 1946, and studied electrical and electronic engineering. Still got my log tables and slide rule.
    2
  28223. He's not a verified math prof, he didn't draw a line through the 7
    2
  28224. Heavenly father❤ World never suffers again.
    2
  28225. In kindergarten. Our babysitter told us what inequality sign means. 'Look at where the bird's beak is pointing'.
    2
  28226. thanks man. was helpful
    2
  28227. There’s a running joke with everyone now at school. So, our calc 2 professor would mention laplace a lot. I would always bring up laplace and people thought I had a weird obsession cause I always brought it up and now I have to live up to loving laplace. I somehow brain washed myself with peer pressure 🤣 but everyone does know I love math and proofs even though it’s pretty useless (imo) for a mechanical engineering major haha 😄 still like it though!
    2
  28228. Any books from Japan or Germany.
    2
  28229. unfortunately mine are shounen protagonists.
    2
  28230.  @TheMathSorcerer  Yo use la version en español en mis clase y doy testimonio de que se trata de un muy buen libro
    2
  28231.  @TheMathSorcerer  Si, editado en Mexico en 1982 por la editorial Publicaciones Culturales
    2
  28232. Did you read the textbook. I'm just curious?
    2
  28233. GÒT IT! LOTS of practice problems. Just exactly what works for me. Thank you. Oh, I bought his calculus workbook too. Same price. About $10.
    2
  28234. Do you ship to Poland ???
    2
  28235. Will you destroy the computer as Michael Bolton destroyed the printer?
    2
  28236. Mathematicians are not concerned about materialistic possessions and gains. The mysteries of math and science intrigue them even more.
    2
  28237. thankyou
    2
  28238. Enjoying math while having diagnosis of adhd is awful. I can be so focused for days, then I’m repulsed. I cycle back and forth
    2
  28239. Where u live?
    2
  28240. I am 66 year old woman who did not pass Algebra 1. My teacher would stand at the board and was always playing with himself. I kid you not. I could not concentrate on what he was saying cause he was always touching himself down there. It was every minute or so. Needless to say, it affected my future education. I wish I would have gone and talked to a counselor to get transferred but I could not talk about such. Anyway, I have no intention of learning math at this point. I watch because I like you!! It is always way over my head but I like knowing that there are really smart, nice people out there. Blessings!!
    2
  28241. Newton's calculus book is translated and is available.
    2
  28242. Good book. The formulas and equations look very attractive.
    2
  28243. You are the BOMB DOT COM! Thank you so much!!
    2
  28244.  @TheMathSorcerer  I can confirm that it is cute indeed lol
    2
  28245. Would u do a review on The Discrete Math Workbook A companion Manual for Practical Study, from Sergei Kurgalin and Sergei Borzunov?
    2
  28246. Do you have any videos in terms of the delta-epsilon definition of a limit?
    2
  28247. Thank you. You solved my problem.
    2
  28248. I went straight for the last explanation....then break it down....well done
    2
  28249. tomorrow I have analysis exam and this video helped me a lot. thank you sir.
    2
  28250. Very ,very helpful It s nice to see you at the white board. But voice is less clear there
    2
  28251. AbeBooks 1981 hardcover edition: https://preview.tinyurl.com/abeThomFinnCalc Title: Elements of Calculus and Analytic Geometry Authors: George B. Thomas, Ross L. Finney ISBN: 9780201076646 Copyright Date: 1981 Publisher: Addison-Wesley This comment is posted with the permission of The Math Sorcerer 🧙‍♂️.
    2
  28252. I started full time college at 32. I’m currently 35 and will be 37 when I finish my undergrad. If I pursue my masters and finish on time I’ll be 39. If I pursue a phd and finish on time I’ll be 44. It’s really not a big deal at all.
    2
  28253. Really nice vedio about set theory i started to understand it when i started watsh your vedio 👍
    2
  28254. Sometimes i just need someone like this man telling me all this words; affortunately internet exists.
    2
  28255. Is no one seriously going to point out the way he holds the marker?
    2
  28256. The Math Sorcerer Do people normally hold markers like that when presenting somewhere in the world? I've never seen this kind of sorcery before!
    2
  28257. Great video. For maths and for life.
    2
  28258. NOT SO DIFFERENT FROM FLIPPING NAVIGATION CHARTS TRIG LOCK SAILORS COARSE
    2
  28259. He had girlfriend while studying math in college....... how is this possible?
    2
  28260. Subscribed 👍🏾👍🏾👍🏾
    2
  28261. What is grad school?
    2
  28262. this is high quality, good job!
    2
  28263. Thanks! I needed to hear that
    2
  28264. The Math Sorcerer Are you losing weight since the lockdown?
    2
  28265. I only get inner peace when i understand something or able to solve a problem which i did not understand initially.
    2
  28266. On one hand maths is almost the most cheap to study - one need only pencils, good amount of paper, and good library nearby. But. In some other video You, Mr Sorcerer, said that studying maths is hard and requires a lot of time and effort. And it was even harder for You, because of a student loan. And in US college is badly expensive nowadays. So yes, one have to be rich, to study math. Or will struggle with poor-paid job during studying or dealing with a heavy loan. Or just quit studying because of economical bias.
    2
  28267. I haven't done integral calculus for four years now, why is YouTube recommending me this lol? Nice video btw
    2
  28268. thanks bro
    2
  28269. Now, I'm ready to take a midterm exam ^^ Thanks, sir!
    2
  28270. "Do all your homework" Well, without this I won't be eligible to take the exam. At least where I study maths.
    2
  28271. 🙏♥️💪
    2
  28272. Sweet
    2
  28273. I don't think that book has ever been used, it's just sat on a library shelf for more than a century.
    2
  28274. Good advice that I definately needed XD ive been procrastinating for so long
    2
  28275. And that can be much harder if English language is not your mother language. With limited source of book, it could be worst.
    2
  28276. Reading TWT right now, thanks!
    2
  28277. I am 43 and started since one year majoring pure mathematics 😊
    2
  28278. Yes, independent of your age Edit : I am joking btw
    2
  28279. YouTube you're starting to scare me. I never search anything math related with this account; after recently talking to my little brother about helping him with his math modules you suddenly recommended this video....
    2
  28280. Very nice advice. It reminds me of the fact that mathematics is really hard and it's okay to feel tired and take a break sometimes.
    2
  28281. I'm trying to learn Advanced Calculus, and i have the one from Michael Spivak, but i'm not very smart and i'm stumped in the first pages for a couple of days, anyone knows a book that is very dumbed down ( although maybe that doesn't matter, i'm reading The analysis lifesaver too and it's very simple yet i can't grasp it 😐) or if i should study something else before advanced calculus?
    2
  28282.  @TheMathSorcerer  Ok, thanks!
    2
  28283. thnx for describing in such a fabulous way
    2
  28284. Wow this is really great 💕
    2
  28285. 4:40 "Who does this guy think he is?" LOL
    2
  28286. Where would we be without the good ol’ null set? Never has emptiness been so important!
    2
  28287. I think same important is where you live, the quality and whealth of people around you. Luck and etics is also important, they will decide who will win between 1 million geniuses..
    2
  28288. "...The only reason you do math in engineering class, is so you can properly calculate the slop of a sewer-line tunnel. So do your trigonometry and shut up.." math teacher in an engineer class I attended 40 years ago.
    2
  28289. Lovely 😊
    2
  28290. nice on the Inverse
    2
  28291. Linear algebra is where it starts getting crazy
    2
  28292. You give Real Taste of Mathematics.Thank you professor ♥️😍 Really enjoy your way of proof and your method of proof . Love from 🇵🇰😘
    2
  28293. I've been struggling with maths my whole life up until lately. I've gone back to school to reeducate myself and maths is finally starting to click. Some days it's hard to sit down, especially after working all day so these videos are awesome for my motivation and very helpful, thank you!
    2
  28294. Please make the videos on integral calculus too, its been a universe to me
    2
  28295. Merry Christmas! MS❤️‍🔥
    2
  28296. 1st comment ❤
    2
  28297. Thank you so much.
    2
  28298. Thank you!! 🙏
    2
  28299. Lmfaooo this was hilarious and makes me feel better about my position in class
    2
  28300. I sware i can't watch you video alone. you're kinda scarry 😅
    2
  28301. I really love your advice!thank you for this video.
    2
  28302. I like this video. Your guidelines inspired of all us.
    2
  28303. You are the inspiration students need. Math is not always easy. Math is not always fun. But its doable. Thank you for your inspiration and confidence.
    2
  28304. Too funny! 😂
    2
  28305. Very few people know these tips....thanx for letting us know.
    2
  28306. The Mathematics Battlemage
    2
  28307. I have that problem. I'm pretty good at math fortunately, but I trip on that a lot because I cannot really do stuff that I do not understand because I have no confidence in applying it.
    2
  28308. Is it really takes only 2m to explain?
    2
  28309. I think everyone passes through here should do like and subscribe.. thank you doctor/professor!! I don't know
    2
  28310. where can i buy the concrete mathematics book used? i live in brazil
    2
  28311. HAHAHAHAHAHAHAH so good
    2
  28312. Use math help boards on the net
    2
  28313. Do you recommend any books for a senior In highschool that is trying to self study calculus?
    2
  28314.  @TheMathSorcerer  alright ill use those too thanks alot
    2
  28315. god blesss you
    2
  28316. Wawoo
    2
  28317. YouTube algo brought me here. You sir, look very much alike with Jeff Bezos. The difference is you have hair hahaa. I bet lot of people must say that to you. Well, let's get into that video then...
    2
  28318. Thank you very much! Sounds very helpful!
    2
  28319.  @TheMathSorcerer  You might litterarly save me this semester. God bless for having your channel 🙏🙏
    2
  28320. Self confidence is the first step in learning anything .
    2
  28321. Forgot about this kind of stuff. Thanks!
    2
  28322. I am from India and love ur videos
    2
  28323. When is it ok to split infinant sum into 2 inf sum ?
    2
  28324. Stein it's a series of 3 books (2 complex, 3 Fourier) , Royden only a great one
    2
  28325. You have my respect, MATRIXUS.
    2
  28326. For me as a high schooler who's just finished school and about to enter college , it would be Analytic Geometry. About to become a math major,excited! :)
    2
  28327. Going back to school is very expensive! At least there's a lot of free online resources these days for the self-learner on a budget, though you won't get that piece of paper marking your learning official.
    2
  28328. i have math teachers, but you are the very different ad that's why i loved it.
    2
  28329. This probably sounds really lame, but I love Algebra so much, I might take an Algebra 2 class during the summer bcs of how much I enjoy it😂😂
    2
  28330. Great job!
    2
  28331. Bro saved me from being cooked on our test
    2
  28332. On my 1st year of university, my math teacher told us to use whatever program we want to use, it’s not considered cheating as long as you don’t pay for a program or another student to pass the exam for you.
    2
  28333. Your channel has been helping me a lot. Thank you
    2
  28334. this helped so much. thank you!
    2
  28335. I am motivated more by a professor who said math is hard rather than said math is easy. 🎓
    2
  28336. when the professor said it hard, we know we have to struggle to understand it. I once had a professor who said math is easy for him, that's actually what discouraged me because I feel I don't have that math mind. It is so unfortunate that I believe that inaccurate statement.
    2
  28337. really good man... i am just about 10 years late knowing all this good books..
    2
  28338. Awesome. I had a college friend who indulge in reading multiple math books about the same subject. He never finished one though. A professor told him once to focus on studying one book and learn very well the material instead of reading several books and learning little. It was true my friend was very familiar with material on real analysis, modern algebra and statistics but I would say he did not master the subject. As a professor what is your thoughts about learning from one book at a time vs reading multiple books at a time about the same subject. Lets say the subject is real analysis. Thanks in advance for your response!!
    2
  28339. collecting things is a very selfish thing to begin with and because you hardly even look at all of them and store them in boxes- it's really ridicules to have any compassion for your psychological dilemma because you need to grow up and distance yourself from THINGS: more important would be writing your own book and teaching your skills and stop being so petty!
    2
  28340.  @TheMathSorcerer  thanks :) love ur vids btw
    2
  28341. Couldn’t agree more!
    2
  28342. I also liked the books by Thomas and Apostol.
    2
  28343.  @TheMathSorcerer  sir I did but I am not getting any replies thank for replying though means a lot to me ♥️♥️
    2
  28344. I have just today added dynamics engineering to my list of studies. I have explored it in Youtube and I love it.
    2
  28345. I'm not a math major but in France the equivalent of a 4 year bachelor is a licence which is done in 3 years. I don't know if is always like that in the us to have 4 years bachelor and 2 years master but in France we have 3 years licence (bachelor) and 2 years master. ANd from what I see, we probabably have the same content done but in 3 years and not 4
    2
  28346. I am starting to think the price of the books, at least on amazon, you review goes up as soon as you review it. I am not joking.
    2
  28347. Scarry
    2
  28348. Thank you The Math Sorcerer!
    2
  28349. Years ago I took part in an international piano contest, where the jury was almost expelling me from the 2nd round of the contest because of my techincal errors. A funny thing was that no piano teacher could correct my mistakes, so I had to rely on myself to cultivate a healthier technique and doing that was the most rewarding activity I've ever done to myself!!
    2
  28350. "English is not my first language", of course not. An Sorcerer speaks in Quenya Noldor, and in your case, with an Spanish accent. Jokes apart: I took an real analysis book and an abstract algebra book at my second week at school. Everything was so clear with those concepts, even if I didn't understand it very well.
    2
  28351. Should've seen this video at the freshmen year haha. Nice content thank you very much.
    2
  28352. How I wasn't subscribed yet
    2
  28353. Dear Math Sorcerer. What do you think about 'Mathematical Analysis' by V.A. Zorich (Springer publ.)?
    2
  28354. Yeah, I found that if i've been working on a problem for over 2 hours with still no progress i'll save it for office hours. When I feel burned out I found that a short drive around my town works wonders.
    2
  28355. You should review a book on mathematicail modeling.
    2
  28356. Tq
    2
  28357. What subject is this from, complex analysis?
    2
  28358. So, the thing is, you must do more hardwork and be patience if you still dont get them?
    2
  28359. Gracias por tus videos!
    2
  28360. Amazing!
    2
  28361. Where is differential Geometry ?
    2
  28362.  @TheMathSorcerer  Don't worry still a perfect explanation. Really enjoying your channel keep it up.
    2
  28363. Is it true there are two different types to learn linear algebra? Computational and theoretical/proof based. This book falls along the lines of the latter?
    2
  28364. That is precisely why I am self-studying instead of attending college. I am seeing what I am good at and I know where I am going in life. I am learning maths for many things. First off, I am a traditional artist interested in digital art and 3D animation. I am everyday seeing CG creators writing their badass maths that turn into rain, snow, thunder, lightning, fire, smokes, explosions, floods, etc. Maths in realist 3D animation is more interesting than scribbled maths on paper. When I look at CG artists' creations of physics simulations and admire their works, I'd always think to myself "Why can't I ever do that?" Now, I am learning maths for CG animation and also for other things.
    2
  28365. Good review, thanks. Now, I just have to find a copy!
    2
  28366. I'm using this book right now for "advanced calculus"/ undergrad real analysis, I've found his writing much easier to read than previous textbooks. I'm surprised to not miss the solution section, but his examples are so well related to the exercises that most 'answers' are within a few pages of the exercise.
    2
  28367. Best place i have seen it getting used is it To prove that arbitrary intersection of open set need not to be open.
    2
  28368. You are better than euler.
    2
  28369. Thanks!!
    2
  28370. Where are you from sir
    2
  28371. Why the fuck he's looking like a moon 🌝
    2
  28372. Honestly love this video. Take out math and replace it with anything. Same principle applies to lifting weights. Atrophy. Keep the third eye open. The CIA will censor this comment
    2
  28373. According to the library cards, it was never checked out, so this book now has its most page views. A book without problem answers is not necessarily bad if its writing quality is so good, and so complete, that its readers can solve its problems. Indeed, if the book was that exceptionally great, it would not need problems at all because its text and examples would transfer all of its knowledge content directly to its readers' minds. I hope, optimistically, that such a volume is not found only in a fantasy library. Equations of Mathematical Physics, by Tikhonov, was reprinted by Dover on over 700 pages, and may be of interest to fans of partial differential equations.
    2
  28374. Nice book, I found the same hardcover on ebay for $20, bought it.
    2
  28375. Any suggestions on how to use a graphing calculator they have advance too much learn to use it
    2
  28376. I say every single thing he said nd I'm a maths student......................
    2
  28377. Anjay pusing gw. Ini materi SMA apa ya?
    2
  28378. the worst prof are those who do not accept any methods other than his dude, I learned more from youtube than his class, really, what is their problem
    2
  28379. I've been through this book and it was just okay but I feel THE BEST CALCULUS book was by Isidore Dressler from Amsco books in New York! I would love to teach High School Calculus with this book. As a Chemical Engineer who went into education, I took 11 Math classes in college including Calc, Business Calc, Diff. Eq, Linear Algebra & Matrix theory, Non-Eucludean Geom, and Theory of Polynomials! I think that's enough pre-reqs!
    2
  28380. Sir i send an email please chek it
    2
  28381.  @TheMathSorcerer  How come law school and medical school cost money but your math graduate degree was free?
    2
  28382. I don't remember seeing you blinking
    2
  28383. 🔥
    2
  28384. I wanna be like this man when i grew up!hahahha, i mean, having that power to believe in others and transmit a little that can help a BiG help/tool to the others... I've kind of a similar experience...in my case, Physics showed me and allowed myself to see learning fast is possible when you really are disposed and interested in(in cases of exacts sciences)solve the problems and live together with the uncertainty of the problems and the patience of "not yet" being at the point where I'd "like to be"... thx a lot @TheMathsorcerer♡
    2
  28385. I really do get your point. But if you can project it towards me in a negative sense I can get what your saying or mean because I can not see my materials
    2
  28386. Proof by hand waving, proof by nodding at the TA and he says yes that looks right professor, proof by “And it’s of course obvious that...”
    2
  28387. You should make a calculator series. cough ti-89
    2
  28388. I didn't know you had these god-like sales skills!
    2
  28389. THANK GREAT VIDEO AND RECOMENDATIONS
    2
  28390. Prof can you add more sections in for parametric equations in cal 2. Also parametric equations using polar coordinates. Also problems like the parallelpiped and triangles for calc3 line equations
    2
  28391. I was watching another DE video and this came on right after and scared the hell outta me and then I got sucked into it
    2
  28392. Oh man this is so good. Some of your best work yet! I totally lost it at the in-person math class part
    2
  28393. Is there a list with all the books and links to the cheapest known versions? If not, we could make one.
    2
  28394. The Math Sorcerer I am glad sir.
    2
  28395. One of the best books in special functions 📔
    2
  28396. Nope, you would never catch me at yoga — no meditation with candles or scents, no scent-smelling stick burning. I cannot settle with yoga. My idea of inner peace is a cup of tea and quiet thinking. Sometimes, cups of tea with math books.
    2
  28397. Bruh no sounds? I NEED my lofi beats duuude. 🤣
    2
  28398. lol, great stuff.
    2
  28399. Did they fail? Or do you just not understand what they're doing?
    2
  28400. Thank you so much for this video .... It gives me inspiration to study for 50 mins ... Knowing that it's doable ... I always keep this video on silently while I am studying ... Whenever I get frustrated I just look at this video ... Aha! Someone is studying diligently with me too and I come back to study .... 🌹😇👍
    2
  28401. what if your laptop runs out of battery though
    2
  28402. loving the ai thumbnails
    2
  28403. Are there soft copies of these books ?
    2
  28404. My location is usually the library. I pick things that I think is hard because I'm stupid. My time starts in the morning to usually 6:00. I usually don't read after 6:00 unless it's schoolwork or I'm at the library.
    2
  28405. Math is a wonderful thing. Math is a really cool thing. So get off your ath and do some math Math math math math math
    2
  28406. actually I find the rudin analysis I extremely unreadable , some of his argument doesn't logically follows , hence the chain of reasoning is broken into pieces and I found this problem among most the accessible books for me
    2
  28407. looking forward to it , THANKSSS
    2
  28408. You rock Math Sorcerer Sir.
    2
  28409. This was my book in the late 70s.
    2
  28410. LOL!
    2
  28411. Lol I thought that "conceptual move" in your "Math Professors Be Like" video was fake, but it turned out to be legit...
    2
  28412. never give up...
    2
  28413. So this is how you look like in beard
    2
  28414. fourth
    2
  28415. Want to see the beauty of math but don't want to "get hands dirty" with exercises? Hate to break it for those folks but there's no royal path to geometry. Perhaps there is 3Blue1Brown for them. The beauty one perceives from a theorem/counterexample is proportional to one's math experience. For example, you can only appreciate how non-trivial the Weierstrass function is, after working a great deal with smooth functions in calculus. When I first learned that all symmetric matrices are orthogonally diagonalizable I was mind blown, because I did many tedious calculation before so that I can realize 1. orthonormal eigenbases are nice; 2. orthogonally diagonalizable matrices are "rare"; 3. what a simple characterization of those matrices!
    2
  28416. So extremely important, it doesn't exist. Sounds about right.
    2
  28417. My intro to proofs book!
    2
  28418. everyone's a gangsta until another 2nd grader Indian kid appears on internet solving vector calculus..
    2
  28419. what to do if you do not understand a concept, theory, or a problem?
    2
  28420. For a parody, the math here is pretty legit!
    2
  28421. Are mathematicians elitist? Maybe. But in any case, they are the elite. When you are studying at a level which fewer than 1% of the general population can understand, you are the elite of that subject. Math is both the most pure subject and the common language of any science that deserves to be called scientific.
    2
  28422. Woot
    2
  28423. beautiful
    2
  28424. I studied theoretical math as an undergrad and loved it. But as it moved from calculus type stuff at the beginning to abstract algebra type stuff at the end, I knew I'd stop at the bachelors degree level due to lack of further ability and interest. After graduating and fiddling around for a while in jobs I hated, I found out I didn't hate accounting, so I spent about 8 years going to night school to get a masters in it. I will NEVER love accounting as much as theoretical math, but I will NEVER make as much money in theoretical math as accounting. And it's too late to invest in any more degrees. They're too expensive.
    2
  28425. ❤️
    2
  28426. As you said, I believe it's about time as well. Not necessarily how young you've studied something, but rather how much time did you spend thinking about what you just learned. Honestly, sometimes I spend an entire afternoon thinking about something utterly unnecessary, such as looking for ways to approximate pi or proving some theorem in a simpler way, and this "waste of time" makes me WAY more familiar with the concepts I've studied. Btw, I just finished high school and I studied calculus pretty much for fun. (There is no such thing as AP Calculus classes in my country)
    2
  28427. Although... I don't like statistics. It's too finicky, and easy to make a mistake. Unfortunately, my job involves a certain amount of statistics.
    2
  28428. Thank you
    2
  28429. I don't know why I watched this all the way I'm in second year of engineering
    2
  28430. I wanted to double check I conceptually understood how to do this. This short and very informative video helped a lot. Thank you! :)
    2
  28431. Oummmm
    2
  28432. It's maths, with an s
    2
  28433. I love your videos man. I'm currently in physics masters and I'm thinking a lot if I'm going to do a PhD, and your videos are helping me a lot, keep doing your wonderful job. Cheers from Brazil :)
    2
  28434. got to love multivariable calculus lol
    2
  28435. I am considering going to gradschool for maths, i am actually on undergrad studying engineering but i am completely in love with maths. I am planning on studying the equivalent of undergrad on my own, but it is waay to hard.
    2
  28436. 8:55 "Suggestions for further reading" are one of my favorite inclusions for a books ending lets me know what I just learned and where I can apply it so I can advance further It's a shame that its actually somewhat of a rarity
    2
  28437. Do you have a course on Discrete Mathematics either on Udemy or on youtube?
    2
  28438.  @TheMathSorcerer  Hopefully, there will be a course on it one day. Hands down, you are by far the best math teacher I have come across on the internet.
    2
  28439. Why |a_n| <= max{|a_1, ... , a_N} for n<= N? Is there a specific reason that you chose n<= N? I know that it might be related to the definition of limit of a sequence but I don't understand how to picture it...
    2
  28440. The Math Sorcerer thanks! Now i think i know it, and for the last part where we prove | a_n | <= M, for n>N, this is based on definition of limit of sequence (there exists an N s.t. n>=N) and | a_n | < 1 + | L | right?
    2
  28441. people have been spamming your forums!
    2
  28442. Too white
    2
  28443. Concuerdo ;v
    2
  28444. Sir, how is the complex Analysis book by Churchill and Brown ? Is it good for self study of Complex Analysis ?
    2
  28445. Had no idea Jeff Bezos has an alter ego as a Math Sorcerer with luscious locks no less!
    2
  28446.  @TheMathSorcerer  Now, I got to master those significant figures lol
    2
  28447. self study is everything when we talk abt math
    2
  28448. I started working out about 2 months ago. MWF I jog 1 mile and do several exercises (~40mins total), TT I bike (outdoor/indoor) and do several exercises (~40 mins total); every day I do stretching. On weekends I just do stretches. I do try to play golf, 18 holes per week total. It gives me a lot of mental clarity. I do wonder how it's going to go during winter with the golf. During my PhD years I went to the gym at least 4 times per week. Those were good times.
    2
  28449. Could you please also upload such videos for Ordinary Differential Equations, Partial Differential Equations, Abstract Algebra, Linear Algebra, Real Analysis, Complex Analysis, Coordinate Geometry & other cool topics? (Not now, like whenever you are free in future, it's just a request, thanks for this one on integrals, I always wanted to become Integration God lol) /\
    2
  28450. Take Thanks and Love from Bangladesh 🇧🇩❤️
    2
  28451.  @TheMathSorcerer The best part: The solutions are available for free on MIT website. Thanks for replying. :)
    2
  28452. 60% is huge. My first understanding was maybe 10% in analysis for physicists and total confusion. XD
    2
  28453. Unrelated, what do you think about math textbooks having or not having answers? The book that I study from don't have answers, and authors in the premise say "Having answers might lead student to try to match the answer instead of trying to understand a problem and think creatively". While I do agree somewhat, but since I'm self studying, it can be annoying. Also, this textbook is for high school, and a high school might have a problem of student not wanting to study, while in university it should be a lesser problem? But on the other hand, forcing to study won't lead people to love math. And I want to mention, I consider this textbook very good, it have long and thorough theory explanation, and most exercises are rather hard.
    2
  28454. def what potsdamcsc said. will save you some sanity.
    2
  28455.  @TheMathSorcerer  Thank you for your reply!
    2
  28456. What about Introduction to Real Analysis by Robert G. Bartle?
    2
  28457. Woah! Looking buff!
    2
  28458. But mathematical miseducation is a real thing😢
    2
  28459. Good job👍👍well done
    2
  28460. would you please blink for once!😅
    2
  28461. I’m here bc I realized I have to take a lot of math for biomed engineering 😭 I need some type of motivation bc I’m not that good at math
    2
  28462. I love watching your videos after a long day of studying math to give me motivation to do it again tomorrow. 😎
    2
  28463. 👍👍👍
    2
  28464. Just to say, what a video!! Thanks!!
    2
  28465. Is its converse true or not?
    2
  28466. Just ordered this. Great recommendation! Have you seen Clark Bray's MVC book? It is super cheap and the best self study book I've found so far (I have a math library worth $1,000s).
    2
  28467. I laughed the whole video lmao
    2
  28468. Disappointed. I came here to figure out how many cubic yards I need for my new driveway.
    2
  28469. thankkk u sm u save me :)
    2
  28470. Thank you for the video. The book seems quite interesting if you are a child of about 12 years old. As I see many here describe books from their own experience, so I will say that another way to learn math from scratch if you are already an adult (16 - ... years old) is to simply take old school textbooks that have many exercises to which have answers, and start doing each of them sequentially. I will not name the textbooks that I have studied and are studying, since they are in Russian, but I can say that this is really a working and effective way.
    2
  28471. My problem right now is i am at engineering class 1st year BSEE student taking Cal 1 and there is many holes in my foundation of Algebra and Trig the worst part is i cant even see the problem visually our prof is somewhat lazy to do/explain graphs.
    2
  28472. Wow, this was right on time. Thank you so much.
    2
  28473. Legend
    2
  28474. you saved me hours. Thanks
    2
  28475. you got a sub for that thank you master
    2
  28476. thanks alot dude
    2
  28477. Why does it all make no sense to me still I have no idea what to do with number in general
    2
  28478. You are right about the subject of time. Currently I am going through working 6 days a week some 40 to 50 hours and try to get in 3h of maths every weekday. Needless to say most days end around 11pm to midnight. Kinda tough at the moment, but I hope the need for overtime in my job will soon be over.
    2
  28479. and also tell me .. how did you get that much good at topology. what is the source or logic or magic behind it.?
    2
  28480. This book will be a fine addition for my 1000 page pure math books xD. I would also want to ask you if you know any books from Steve Warner, and I am interested to buy them, but I fear that they will be bad and unreadeable. I just want to ask you if you don't have any experiences with his books and if it is worth buying them. Thank to you and anyone who answers me :)
    2
  28481. Another great video! I'm hoping you do a video on a good math history book sometime in the future if you have done so already.
    2
  28482. these worries, they are so similar to me. just thank you
    2
  28483. Making my way through Halmos. I've done 65 proofs already. I'm going to know set theory backwards and forwards. (Literally, since a lot of relations are proved in one direction and then the reverse ;^)
    2
  28484. Holy smokes is Jeff Bezos lost brother
    2
  28485. Great video as always
    2
  28486. I love mathematics and i like your voice😍😍
    2
  28487. Wow, this a great video. Too bad I did not watch it two years ago.
    2
  28488. i didn’t know you were ripped like that
    2
  28489. Good fundamentals on algebra will have excellent consequences
    2
  28490. Thanks for another great video!
    2
  28491. I don’t think I’d ever make it as a math major, but Algebra is my favorite 🤓 I actually got better at it after high school (for some strange reason). I hate statistics, and calculus seems a bit out of my comfort zone. Thankfully I don’t need either of them for my major 🙌🏼
    2
  28492. ...in other words the end of the world hahahahahahahaha
    2
  28493. So true!
    2
  28494. You missed your calling MS, you should have been a priest, a minister, or maybe a swami or roshi...something in that line. Math doesn't cover it.
    2
  28495. I have it. I teach at the college level and this is the class textbook!!
    2
  28496. I love how he smells the books in a lot of his videos lol
    2
  28497. It is helpful !
    2
  28498. Thanks sir
    2
  28499. Hahaha study? Do you mean be quiet in piece and be one with the nature? mmm yeah I study, and teach by the way.
    2
  28500. thanks u make things easier. but am having problem when it comes to proving things in real analysis. As a sorcerer which services will you offer please
    2
  28501. We cannot study physics in the college (university) without calculus. So it won’t be helpful for science college students.
    2
  28502. Thank you so much
    2
  28503. i finally know my spirit animal.... math teacher
    2
  28504. Not 100% sure, is it really „The Most Famous Computer Programming Book In The World” — but it's well-known indeed. But it's not the best handbook for those, who are keen to learn C; „C Programming: A Modern Approach” is much better for this.
    2
  28505. Clutch ASFFFFF LOVE IT
    2
  28506. One things that I found very useful at improving the self-study habilities, and by the way found it not voluntarily but because is my job, is to teach the subject with the aid from mainly books. I teach chemical engineering courses and it has been very rewarding because I had to study a lot of content that just passed without in front of my eyes without deepness when I was an undergraduate. One of the most rewarding experiences was teaching transport phenomena, for example. Now, I am self learning math, and it has been hard finding the time to do so and create self discipline. May be I should look for available classes to teach pure math and then it would be my responsability to self-learn it. Thanks for the video and the effort you put in your channel.
    2
  28507. Please. In this video's background, there is a calculus book. It was used as the text in my first undregraduate calculus .class. My copy has been lost and I would like to replace it but, I can not remember the authors name. The text's casebound is grey and stands between two caculus texts, one with a well-worn blue/black cover and the other one has a blue cover. In the video, they are located just shoulder height to your left (the viewers right). Would you be so kind as to send me the authors name? Thank you.
    2
  28508.  @TheMathSorcerer  Thank you very much. I had been looking for "A First Primer in Calculus" and I just couldn"t find what I remembered. Again, thank you.
    2
  28509. I would definitely add in some books about number theory, there's of really fun things you can learn with some books on elementary number theory where you only need some basic algebra and proof writing skills. Then you can learn some algebreic or analytic number theory which ever floats your boat. I find number theory the most exciting field of mathmatics and definitely worth at least taking a look at.
    2
  28510. I don't have time and money to go to the university right now, but I still want to study mathematics soo hard
    2
  28511. Which university do you teach at? :o
    2
  28512. 21 seems like a fairly normal age to go to university (if that's what he means by college, and not an actual college/sixth form which you do earlier). Anything from 18-21 is seemingly not that unusual.
    2
  28513. Thank youuuu! Definitely will be doing my best to check it out!
    2
  28514. Hi! Thank you so much not just for this video but for you being on YouTube, I hope to improve at math, it’s one of the subjects where I struggle the most… By the way you kinda look like Brian May
    2
  28515. for Calculus for College.. i find Ron Larson the most easy to understand, he gives tricky example solutions no other textbooks i find. For students, you really should know and master algebra and trigonometry and answering every item on the textbook as many as you can... and calculus will be a breeze source: Struggling at calculus, hours of comparing textbooks at the library which textbook is the best to me (2009)
    2
  28516. The main reason engineers use pen is because we have a culture of auditing. If you make a bridge and it collapses, you want a clear and legible record of all the work you did to prove you were not acting negligently. To do this, we keep log books in pen, date everything and only cross out mistakes with a single horizontal line to both indicate that it was a mistake and to retain legibility. Making a mistake isn't fun - being sued into poverty is much less fun.
    2
  28517. Jeff Bezos
    2
  28518. I promise without hair you would look like Jeff Bezos
    2
  28519. THANK YOU SM :')
    2
  28520. Nice!Plz review some more books on computer science
    2
  28521. I improved alot by changing my habits and i was repeating the same mistakes lately by doing old habits again. But the timing of your vedio in my feed was fantastic 🔥
    2
  28522. Thank you so much man, I feel like imma pass stats now with ur help!
    2
  28523. 🗿🗿
    2
  28524. If you ever decide to do a follow-up video, it would be nice to see non-Euclidean geometry, differential geometry, numerical analysis, number theory, and measure theory. Also, Statistical Inference by Casella and Berger may be the best book on mathematical statistics. It's fairly comprehensive with a lot of proofs, but quite challenging.
    2
  28525. Pd nice review
    2
  28526.  @TheMathSorcerer  hahaha sometimes...in some specific places... but well, greetings from here :)
    2
  28527. I'm 42, and an Undergrad majoring in Information Technology. If I am still an Undergrad when I'm 90, IDGAF. The journey is what matters.
    2
  28528. Thank you.
    2
  28529. How can I get it?
    2
  28530. If you find anything of interest or just want to share when going through Serge's Basic Math please do! Currently going through it right now for a rigors course in Pre-Calc.
    2
  28531. Thanks for this, your words are pure wisdom
    2
  28532. The first integral is wrong
    2
  28533. When reading math books like this, if you don't understand a section should you keep going and circle back to it at a different time?
    2
  28534. I'm in my third degree on physics at university and I really think that the math they teach us is not enough to master any subject of physics. Where on this list should I start from?
    2
  28535. thank you for motivation. I'm a math major too and i had a motivation problem in preparation for calc 3 exam. it really helped me :)
    2
  28536. you have the EXACT same mannerisms as Doug Demuro it's insane
    2
  28537. Thank you math sorcerer! You changed my life!
    2
  28538.  @TheMathSorcerer  It is!
    2
  28539. you are the coolest person I know
    2
  28540. With me the process of learning mathematics has several components. There is memorization, understanding principles and theories, experimentation or testing those principles, observations in the real world, application to the real world. There is also a level of understanding where you begin to see math everywhere you look, even to the point where math becomes more like an art, a beauty of order and logic, a part of life that you begin to use naturally. Math is part of the philosophical tool set that we use to rationalize what is truth and what is logical.
    2
  28541. Wow very helpful
    2
  28542. The Math Sorcerer Thanks for the advise! It’s gonna be a brutal semester. I’ll be taking Quantum mechanics 1, analytical mechanics, and thermodynamics.
    2
  28543. thanks very much.
    2
  28544. The Math Sorcerer resembles Issac Newton another magus of science & maths!
    2
  28545. The Math Sorcerer 😊❤️💫✨
    2
  28546. These books will help a lot of people. Will probably buy the collection myself after a few more rounds of revision :)
    2
  28547. Skip out trigonometry? And leave the funny part oit? Ah ah Just kidding 😂
    2
  28548. thanks sir, you are great helping source for self learner (internet learner) of mathematics . Love to you sir.
    2
  28549. greatest video on the internet
    2
  28550. So cool. Thank you.
    2
  28551. Please post diff eq lectures lol
    2
  28552. Reading biographical material about Ramanujan suggests he may have died from liver disease caused by parasites found in beverages prepared in his native locality. Personal wealth is one thing; community wealth sufficient to ameliorate public health problems related to food supply and medical services delivery are other prerequisites to mathematical studies being possible.
    2
  28553. the best way to do it on a test is to use Matlab
    2
  28554. J.j.rotman book isn't covered. He written slightly modern view.
    2
  28555. I had to drop calc 2. The trig substitution got me because I forgot most of trig aside from the basic stuff. The identities you must know is A LOT. Calc 1 was more algebra and very little identities needed aside from the basic ones for trig.
    2
  28556.  @TheMathSorcerer  you make my day sir, And yes, I have used many of your vector algebra videos for physics, boi did they help, and also, I saw your calc3 lectures on cross products, they were also very interesting and helpful, even from a physics point of view.I'm sure you're unknowingly a physics boss!
    2
  28557.  @TheMathSorcerer  and yes, I've used the Rat Puppet name so much, in every social media platform I'm on, in my school portal, and ALSO even my family and friends know me as rat puppet now. This is a free world I identify as Rat Puppet now xD
    2
  28558. Hello darkness my old friend...
    2
  28559. Some very wise math book authors provide full answers to all their exercises for one important reason: they want to be blessed by the future generations of math students, and not cursed!
    2
  28560. thank you so much
    2
  28561. This is what Noah looked like when he was born.
    2
  28562. I send my future calculus 1 students a email about a month before the semester begins and I tell them to review their algebra and trigonometry. In 16 weeks there isn’t simply time to review and teach calculus. The topics I cover in my calculus one class is 2.1-5.5 (Stewart ET 8th Ed). I did make some essential algebra and trig review videos and I unlock my canvas module a bit early so students can take a look at it and refresh their memory. I AM NOT ENJOYING TEACHING ONLINE!!!. Also how do you deal with cheating? I have caught several of my trigonometry students in the fall semester using Symbolab and I would have a zoom meeting with the suspected student with the dean and I would ask them to justify their solution. I think I am reaching a point where because of a few bad apples I have to make my exams more brutal (enough to make symbolab solve the problem in a obscure way).
    2
  28563. Good video but...I'm a bit unsatisfied with the induction proof. I would rather see a derivation of the formula. That had to come first and I wonder how it was done.
    2
  28564. When he made the exams and homework into math formulas lmao
    2
  28565.  @TheMathSorcerer  I will turn on my notifications
    2
  28566. What is the glyph the two wizards are conjuring on the cover?
    2
  28567. God bless you
    2
  28568. Thank you so much. Have a great night ;)
    2
  28569. Good video Newton
    2
  28570. Thank you so much! You are appreciated!
    2
  28571. YEAH! OK!.. IN A PERFECT WORLD YOU CAN ALWAYS BE A WINNER....THERE IS NOTHING WRONG WITH FAILING IN FACT I WOULD ARGUE THAT IT IS THE FIRST STEP IN YOU LEARNING SOMETHING BUT ANYWAYS WHO AM I...RIGHT?
    2
  28572. Hey there, could you explain how to solve maths word problems?
    2
  28573. thank youuu!!!!!!
    2
  28574. Thanks 👍☺️
    2
  28575. Thank you!!
    2
  28576. Simply understanding
    2
  28577. I also fail to answer most math competition questions (william putnam mathematics)but I thank myself to learning how to write proofs because now I can answer very few mathematics questions coming from william putnam,
    2
  28578. Hello sir, pls can I have a link to your Udemy courses and Twitter handle? Thanks
    2
  28579. Most of questions you uploaded ez but good for daily calculus I recall. thanks sorcerer :c
    2
  28580. 👌♥️
    2
  28581. I always use cheap pens from Staples , 1.4 ...love it
    2
  28582. As long as I don't solve the problem and don't practice at least twice I won't learn and master the topic
    2
  28583. Only my math class has anything messed up with it. The engineering classes are fine...
    2
  28584. getting math advice from newton himself.
    2
  28585. Here is the list of mathematicians and physicists, all names arranged in chronological order. All names are clickable to Wikipedia. List is still unfinished. https://docs.google.com/document/d/1hsYIX8MfkGwt7_58n8q2fh-ue3hkFmKyq6eJECz1_oo
    2
  28586. Hi math sorcerer! here is my solution step 1 - factor a/b from the fraction: (I will do this for numerator and denominator separately) numerator: a+c+e+... -> a(1 + c/a + e/a +...) denominator: b+d+f+... -> b(1 + d/b + f/b +...) step 2: with simple manipulations of the ratios you see that d/b=c/a, that f/b=e/a and this extends to all the other ratios step 3: notice that (1 + c/a + e/a +...)=(1 + d/b + f/b +...) so dividing them equals 1, leaving only the a/b QED
    2
  28587. The first book mentioned is the same one I had to use for my discreet math class which had a requisite of calc 2... interesting
    2
  28588. This book in more connecting then the others you have mentioned in other videos
    2
  28589. You are my math hero!
    2
  28590. Excellence is 10,000 hours of work.
    2
  28591. Watching your videos make my day :D gives me motivation to continue to pull through calculus II!!
    2
  28592. Yo, there's a bird behind you
    2
  28593. Helpful 😃
    2
  28594. :)
    2
  28595. Serge Lang's Algebra text assume you have read his Undergraduate abstract algebra and Linear algebra first. It was stated in the preface of the book. Lang has his own way of presenting materials along with types of problems given. It takes a bit of getting used to.
    2
  28596. Also Stephen Lovett came out with Abstract Algebra Structures and Applications. It is almost the size of Dummitt and Foote with a few topics missing like Tensor Products. Each section of a chapter has a huge number of exercises like Dummitt and Foote. The solutions manual is available for purchase separately. Also Joseph Rotman's two volume graduate text on Advanced Modern algebra follows after his undergraduate First Course in Abstract Algebra text. If you want a good topology text, you can't go wrong with Topology for Analysis by A Wilansky. Murray Eisenberg's Topology text which came out in the 60s only assume basic Calculus. But the problems and the topics covered is pretty impressive. It is hard to describe what that means precisely. The entire book really feels like you only need calculus. Especially the section on Quotient Topology. But then when you go through the exercises, you turn pale pretty fast at the type of questions being asked.
    2
  28597. Thank you very much, helped my girlfriend alot with her homework 💜
    2
  28598. Superb thank you so much respected sir...
    2
  28599. If its Free send it to me
    2
  28600. No doubt preachhh Oh ya, and thank you🙏🏽
    2
  28601. Watching and contemplating Math Sorcerer videos; now that's study. Homework is just homework like a pencil is just a pencil; you make use of it as you do. If you correctly solve all the problems provided by homework you were practicing. Incorrectly solving or not knowing how to solve a problem is practice which leads to study; study of principles, of methods, or of how to avoid silly errors. Sometimes you arrive at the correct answer with no clear understanding of why which also leads to study.
    2
  28602. Isn't there any book like this for physicists? 🤔🤔
    2
  28603. Straight up math hero.
    2
  28604. Never studied Calculus before . Do I have to get solid foundation on Algebra and whatnot areas first ?
    2
  28605. Thankyou for such an important video. Helps every learner. Very well explained.
    2
  28606. Idk why I’m watching this, I’m literally horrendous at basic math lul
    2
  28607.  @TheMathSorcerer  Does he need a mathematics background or not?
    2
  28608. It was my book in 1980 Brasil
    2
  28609. I never knew people study math! Great video made me think to study math and stop hating it.
    2
  28610. I’m sure the fourth point to have , and have sixth point. I’m not sure about about Basics , Study habits and persistence , cause when I study basics , I do it chaosly . Then it can be more like persistence but also it can be learning basics or study habit. It happens because I have non-broken-down goal and this goal has been lost in this chaos as result. So I need be concentrated on braking down goal and defining goal (because it is lost) or many goals . Also my additional problem it is lied waitings from which implies obsession .
    2
  28611. Thanks!
    2
  28612. Fantastic! I hope millions of students find your channel! Your passion for teaching and mathematics is wonderful! Thank you!
    2
  28613. I took 2 proof classes ,and could never finish the class ,because the teacher's just read off the book ,never why .
    2
  28614. I will watch this video when I get time later. Definitely will get round to it.
    2
  28615. It's really true.
    2
  28616. good stuff ;o
    2
  28617. 70% of the enjoyment with old books is the smell. Also it's the weird thrill of bring almost certain that nobody else on earth is right now reading the same thing that you are. Ancient esoteric secrets that have been hidden away for decades.
    2
  28618. Liked!!! ❤
    2
  28619. Can you make a video on giving advice for people who still dont know what they like, or that still havent found their dream. How do they find their dream or what they really like?
    2
  28620. I' think it's about development of awareness.
    2
  28621. Great! thank you!
    2
  28622. I LOVE your channel
    2
  28623. Do you think these books are still usable today?
    2
  28624. thanks you for this good video.
    2
  28625. At 1:49 x,y belongs to A not R.
    2
  28626. OMG I needed this video today this week. Great advice, off for a bike ride!
    2
  28627. I just bought one copy from Biblio.Com and as you said, this book is really amazing!!
    2
  28628. I am currently finishing my graduate school in pure mathematics. Finding myself to take algebraic topology and introduction to algebraic geometry in the next semester. Don’t know yet how I am going to deal with those hardcore subjects, so please if you have some advice for me I’d appreciate it a lot. Anyway, thanks for your videos, they are very inspiring.
    2
  28629. naaaaaaaaawwwwwww birdie <3
    2
  28630. brilliant. need more of this.
    2
  28631. Your right. Look at what you have gained. and what you have amassed. Instead of the negative.
    2
  28632. You are a genius. I show your videos on maths.Amazing . I still struggling with integration.
    2
  28633. This is very funny, great video man
    2
  28634. Merry xmas
    2
  28635. This book is really good if you take the time to work through the exercises. I don't mean looking up the solutions online, but really taking the time to work through the exercises.
    2
  28636. Gracias
    2
  28637. 25 y/o, IQ 100, finance bachelor>digital marketing entrepreneur (coaching & strategy). DO THIS! For the love of god DO THIS. 1. It works 2. The world needs more people who can PROPERLY think & PROPERLY learn 3. People will perceive you as more admirable Only speaking from my background of refusing to be incapable of applying what I learn to my life directly until habitual.
    2
  28638. Is it possible for you to recommend cheaper versions of those?? I really want to learn some math but I checked on amazon and they are like 40 plus! with a budget around 25, 30 maximum, what do you recommend?? Good work with the brief explanation of each book!!
    2
  28639. Thank you 🙏
    2
  28640. Thanks❤ my post support
    2
  28641. Thank you for sharing your wisdom 🙏
    2
  28642. I remember my Math teacher saying in class practice everyday, make sure to have some coffee too.
    2
  28643. I love maths so much that I have bought myself few Asian abacuses and slide rules, the irresistible instruments that make you LOVE mathematics and boost your confidence. I have received my FIRST slide rule few days ago. It resembles a ruler, but it is an vintage instrument for calculating logs, roots, angles, etc. Today, I have fun of working out square roots and cubed roots on slide rules. Vintage films on slide rules. https://youtu.be/rJKmc4PVdh4 https://youtu.be/oYQdKbQ-sgM Slide rules were formerly used in olden times before the era of personal calculators. Today, they are sadly obsolete. Advantageously, slide rules don't run on batteries. I am expecting my second slide rule in the post this week, different from the first. It is from old Soviet era. Many old Russian slide rules are complicated devices. I also have Slide Rule app on my tablet. It is indispensable. I got it from Google Play. This webpage contains digital slide rules, all free to use. https://www.sliderules.org
    2
  28644. The Math Sorcerer, in one link I had shown before, I forgot to mention that you can slide middle strip of any slide rule. Just use your finger or mouse to drag it lengthways. https://www.sliderules.org/ I bought my slide rules at Etsy.
    2
  28645. do those holes not look like they were made by a staple?
    2
  28646. Just be careful not to burn some of those nice books Math Sorcerer
    2
  28647. Maybe my mind has just been blanked by differential equations, but I don't think my course covered all this information, I remember most of it and how to solve them but there are certain things we did different. Also, wowza that's a long test lol, mine were usually around 10 questions but were much more application based compared to some of these simpler, T/F or converges/diverges questions.
    2
  28648. Thanks TMS for showing us the other side of the coin. I’d heard you say we should limit study to one hour, etc. and while I could see how that could help, it seemed inadequate to come even close to my personal goals. What you said today puts things in great perspective and helps me understand that they’re both vital approaches in the proper circumstances.
    2
  28649. Thank you for your lectures, they fill in essential information that I was missing due to having to learn alone for college exams.
    2
  28650. Very helpful, thank you!
    2
  28651. @6:17 he had me ROTFL... "What's the poyyynt?" His accent adds to the hilarity. Every lecture course should really being with answering "what's the point?" They say it's not about the destination but more about the journey to get there. Sure. But it helps to have a motive to get somewhere.
    2
  28652. Excellent advice I would like to add that some hobbies depending to a degree on mathematics like astronomy, photography and microscopy
    2
  28653. This guy has a bird on his shoulder! 😄
    2
  28654. Hello sir, we want to contact you. May I know how to do so.
    2
  28655. Statistics seems the easiest branch of math.
    2
  28656. more videos like these please
    2
  28657. Andrews book is 900$ dannnnng
    2
  28658. I disagree with one thing. I know this both for myself and for a lot of people that I know. Normally you work hard for something you don´t know or understand, but not so hard for something you know. For example, when I was young math was very easy(till around 6-7 grade I was very good, but then it became worse and i just turned out to be little above average). I didn´t spend almost any time to learn about math, even when we had our yearly tests. And I always got the best or second best grade in all those years(depending if I did a major mistake somewhere or not). Sometimes I had a whole school year in which I only got the best grades in mats. Almost without any studying. It just was too easy to me and I didn´t need to spend time learning something that I already know or understand. But in the same time, I was very poor on essays(that we do in literature, or subjects like history, psychology etc) and sometimes I had to spend whole weekend just to barely write 2-3 pages in essay, searching information from school books, or normal books(back then there was no internet) or encyclopedias. It was so exausting and I was never able to get the best grade in any essay whole my life(and we have done a lot of them). But later in life, when I was like 10th grade and above, even math became harder. I started spending a lot of time to study, but in the same time things became harder and harder. And as harder as I studied, the things became harder and harder and I just lost ´my talent´ from math. All those geometry or trigonometry bullshits that we were learning, were hard for me to understand or memories. But the algebra part was always easy or max semi-difficult to learn. So overall it happens that when you ´work hard´ most of the times is because you don´t have ´the talent´ for that thing and have to compensate for it by losing a lot of time and efforts. But if you have the talent, you spend less time and still do very good.
    2
  28659. ❤
    2
  28660. Well, now I know why it is like x+3x. I feel so dumb 😂. Thank you
    2
  28661. I;m an undergraduate at 45, this is good info for me as I enter full time college this winter
    2
  28662. 6:00 good
    2
  28663. Proud to be your subscriber man :))
    2
  28664. The amazing beautiful truth of the video is this ... your time is too valuable to be wasted on one problem. This truth also applies to math :-)
    2
  28665. Muy caro.
    2
  28666. Good Will hunting....
    2
  28667. Thanks
    2
  28668. What a BOSS
    2
  28669. A great deal of this clip uses terms I can't even understand. But whether people should do maths or not depends on the individual and on circumstances. Maths has been a closed book to me since school. I was "bottom" of the class, picking up bad marks (or grades?) and hating it. Years of genuine suffering (phobia). Since then I've successfully avoided maths in my life. Every now and then (out of curiosity, with no pressure) I've tried to understand a point. In vain. I can truthfully say I loathe maths and was never able to "do" it, apart from some very simple arithmetic. Since school I've never needed maths apart from a few simple calculations from time to time.
    2
  28670. Do meditation
    2
  28671. I feel how it smells through the screen)))
    2
  28672. you saved my exam, thank u!!!!
    2
  28673. not math related, you look very fit. could you talk about that for inspiration in one video? i'm not trolling. when you workout things come easier especially when you skip partying, drinking and smoking.
    2
  28674. Great Video, but I think the "Calculus Made Easy" book might be more enjoyable for me to read! :)
    2
  28675. What about electronic engineering??
    2
  28676. Nice quote. Not heard it being mentioned before
    2
  28677. I just ordered it but I'm not planning to write in it. I want to share the book with other people.
    2
  28678. God bless u
    2
  28679. However, game plan maybe an opponent of inspiration? Most of our inspiration came in randomly?
    2
  28680. thxs fam i needed help 9th grade is annoyinggggg this helped alot g !!
    2
  28681. bro is swole!
    2
  28682. The best example is ramanujan
    2
  28683. Thank you so much for this beautiful one!
    2
  28684. U r my motivation
    2
  28685. I love algebra and mathematics, in general... But sometimes, damn... I'm stuck at real analysis, studying alone, by 6 months, and sometimes I just think "I may finish an PhD, but I'll never learn this", and it's really depressing. So, for me, it's more easy to say whats my defect, and it is Real Analysis Seriously... 6 months, and I can't grasp these "generalize this" or "explain why this happens for all r>0" and I just AAAAAAAAAAAAAAAAAAA scream and start to think I'm a depection as a mathematician....
    2
  28686. Mathematical logic is the entry point to mathematics. Elementary number theory and concepts from abstract algebra should be teach prior to real analysis. In a world of computers, real analysis is becoming less and less relevant.
    2
  28687. I recently bought a book "Maths Formulas" by Lara Vandini. 327 pages with all the 1300 formulas.
    2
  28688.  @TheMathSorcerer  Thank you! Keep making interesting content :). Linear algebra is beautiful! For anyone else reading this, you can find a free PDF of Roman's Advanced Linear Algebra via Google with ease. (Some texts are near impossible to snag for free, so I was happy to see this is the case for Roman).
    2
  28689. Stumbled onto this video as I'm studying coding - whew, did it speak to me. Thank you so much.
    2
  28690. This so much help full
    2
  28691. Mistakes are part of learning.
    2
  28692. One week left to my Analysis 1 exam. Screw it, let's find out what Euler-Lagranges equation is 😄 Me in a nut shell.
    2
  28693. so could you call a 3x3 matrix a cube matrix?
    2
  28694. Thank you very much for the insightful video! It is great.
    2
  28695. You look like George Washington or Thomas Jefferson...
    2
  28696.  @TheMathSorcerer  or Newton... I don't know how I forgot Newton...
    2
  28697. Mans got a good point
    2
  28698. little 'classic' gems from the good old days!
    2
  28699. Your presentations and reviews are very informative and useful. I have this book in my personal home library . " Principles of Mathematical Analysis" (Third Edition) Published by McGraw Hill Education ( India) Edition 2013. Reprinted in India by arrangement With McGraw Hill Global Education Holdings, LLC, New York. Thanks.
    2
  28700. surfer Jeff Bezos teaching integrals
    2
  28701. college classes: you cant use wikipedia as a source... electrical engineering: you can look this information up on wikipedia...
    2
  28702. Somebody should write a math book for generative art. Generative art NFTs are becoming very popular and some interesting designs are based on math formulas.
    2
  28703. Is this a comedy played straight? Sniffing the page? You're having a go at your audience aren't you? Good on yer, mate.
    2
  28704. You know the joke: "How do I get to Carnegie Hall?" Answer: "Practice, practice, practice!"
    2
  28705. From Bangladesh 🔥
    2
  28706. My mind become calm and relaxed just by watching this video idk how but thanku and your voice is also very relaxing.
    2
  28707. Comment your aim here: 👇 I'll go first. I want to improve my math skills to interpret data independently, to not be gullible, to succeed in my future career. (And more)
    2
  28708. Without spivak calculus, I wouldn’t have declared math major
    2
  28709. Look at that! First edition! Pre-ANSI!!!
    2
  28710. 'So next students what you're going to want to do is take out your phone and install the symbolab app..'
    2
  28711. First!!!
    2
  28712. It would be nice if we were paid decently and had more reasonable loads. I have found I have very little control over my schedule.
    2
  28713. You are
    2
  28714. Hello leibniz or newton
    2
  28715. Great work sir that's great
    2
  28716. Title: Become an algebra master in 3o min Me: shit , exam will start in 2min .😆
    2
  28717. I'm about 15 years late for this vedios I'm not that old but still I dnt think il learn much more math in my life again .
    2
  28718.  @justinclark9258  It's already possible to learn everything from the preschool level up to and including the undergraduate level, just by watching YouTube, doing exercises on Khan Academy, and reading open textbooks. I have a website that makes it easier to find these resources, but it's a work in progress. If you're looking to learn a particular topic I can likely point you directly to the resource you need.
    2
  28719. Thank you sir 😊
    2
  28720. Thank You
    2
  28721. Wow. Another one 😍. I was rewatching the first one.
    2
  28722. The terminology non commutative field is not old, it is French. In French corps (field) doesn't need to be commutative. The anglo-saxon terminology is very wierd when you think of it. You don't have a special name for a group or a ring that isn't commutative... so why on earth should one say 'division ring'?
    2
  28723. During student days, I saw this in a Library, only had enough time for a few articles. Wanted to buy, but could not afford. Fast forward a few decades, when working, was determined to buy. I leisurely enjoyed virtually cover to cover. When I saw this video, I realized I had misplaced my copy. But googling for the 5 words, Hall Knight Higher Algebra pdf and downloaded it. Books older than 75 years have their Copyrights expired (most often) and google has scanned copies of those, if I remember, from the collections at Oxford Library, and Cincinnati Library. I plan to share some observations in future comments☺
    2
  28724. i got so many math books, i had to call an exterminator. the books started having baby-books and multiplying. when you turn on the lights or open drawers there will be a couple of books scattered about.
    2
  28725. congrats on 140k view video
    2
  28726. Thank you 🙏
    2
  28727. Captain sinbad thumbnail?
    2
  28728. Life’s not a competition 😍👏🏻
    2
  28729. Since you have many books on Abdtract Algebra it justifies me wanting to get many law school textbooks, engineering textbooks, and a few more books about mathematics, medicine, and surgery.
    2
  28730. Him: I lost one week of my life trying to understand something that had a typo. Me: Those are rookie numbers.
    2
  28731. Thank you, it's a great video
    2
  28732. Thank you sir, that was very, very inspirational
    2
  28733. What would intuitionists say about "p or not p"? Like, 'no we should not use it in proofs no matter what'...?
    2
  28734. I say I’m too dumb to quit. Keep getting back up and try again.
    2
  28735. It's as though I wrote THAT email. Same message here 'cept I'm 53 yo. I'm a C/C++ kinda guy. However I did write my own big nymber math library so I can see how encryption and key exchanges work. I use the library to manipulate 200 or 400 digit numbers. I also use the library to code a primality tester. And eventually code RSA encryption.
    2
  28736. Thank you!
    2
  28737. Around 2:02 - item in photo is a compass, not a protractor. @philpollack8140 commented on same about 2 weeks earlier.. give his comment below a like too :)
    2
  28738. I don't know how to thank you for this amazing motivational message... this video gave me so much confidence. thanks again Subscribed🤗
    2
  28739. Thanks...now to find an English equivalent...I will be set
    2
  28740. BRO. Last time I was here was like years ago. Would have benefitted from seeing this earlier! (Though I did start working out a year ago, now I mainly do bodyweight push pull legs stuff)
    2
  28741. Is -1/n a cauchy sequence and if so can it be rigorously proved?
    2
  28742. yea ofc. try it using exact same method
    2
  28743. this question was released one year ago but.. you can use the same way as the video showed: |-1/n -(- 1/m)| = |-1/n + 1/m| = |1/n - 1/m| and do the same way!
    2
  28744. Hello doctor i hope you having good day, i found you by coincidence on youtube talking about shure microphone, i think you will be excellent tech doctor, thank you
    2
  28745. You are always spot on! I think in the midst of struggle, we have to still have a positive attitude. Take care always
    2
  28746.  @TheMathSorcerer  ok, then I'll try to juggle between the two books, going back & forth between the one and the other. But what do you think is a better way of studying any subject - to keep juggling between books on two or more different topics/subjects simultaneously or to take up one book of one subject at a time and go through it completely before attempting another book on a different topic or subject? Please tell or make a video answering this question.
    2
  28747. Few weeks ago, I had been doing exercises of arithmetic & geometric series. Now mathematical induction today. Great.
    2
  28748. one of those lads i see
    2
  28749. Electrical engineers use j instead of i for imaginary numbers because it can be confused with current I.
    2
  28750. Love Gallian for examples! Fraleigh as well. I should find a way to share pictures of my math collection. There are hundreds by now.
    2
  28751. WOULD YOU JUST LOOK AT THAT!
    2
  28752. Books are the most powerful than a smartphone!
    2
  28753. 6:16 Wait, the late transcendentals smell different?
    2
  28754. Congratulations
    2
  28755. Thank you for the encouragement!
    2
  28756. Man, i was thinking about this yesterday. You read my mind.
    2
  28757. My second year Calc was a second year in analysis. It was calculus on manifolds. It was the most time wasted course since we did not had any vector calc or regular topology background. It was all theory and everything is proved up to the context of lebesgue measure zero with partition of unity, tensor products, differential forms on chains, proof of change of variable formula in lebesgue measure zero and generalized stokes theorem. We had to know how to prove all of them for the final.
    2
  28758. Ohh man, these books are amazing. I whish I owned them, but these are undergrad books (at least for pure maths majors)
    2
  28759. The book was published in 1910 and it looks good!
    2
  28760. This channel is truly interesting I like it
    2
  28761. Nice solution
    2
  28762. "I'm gonna whiff it" lol
    2
  28763. I always wonder why Math Sorcerer so secretive about his university degree. Exactly what degree he has and from what university?
    2
  28764. Thank you so much for your videos! You make learning Diff EQ so fun!! I've been binge watching your videos all day so far!
    2
  28765. It boosted me back. Thank you Sir, god bless you
    2
  28766. many questions and too little time to “avoid cheating”
    2
  28767. Thank you king 🤴
    2
  28768. Really needed to hear this! you got this guys/girls !!!
    2
  28769. congrats on 1M sub
    2
  28770. Thankyou for this video, really helped me today
    2
  28771. For years I thought that the partial derivative symbol was the lowercase greek symbol delta. Now I learn that it's actually a variant of the latin letter "d", and not a delta symbol. [ \partial in LaTeX.] It was your handwritten version of del, a bit more horizontal than the typeset form that made me think about this and look it up. The symbol name "del" is therefore misleading, since it makes you think of the Greek letter "delta" for which it is not. But OMG, I've seen this before, so I could understand it, and you explained it better so that I know what it means.
    2
  28772. Physics book from start to end pls😭😭😭😭😭😭😭😭😭😭😭😭😭
    2
  28773. University physics with modern physics by young Has around 1400 pages and perfect introductory book for physics when you finish that...then you can get into more topics oriented books for ex taylor's book on classical mechanics(even morin one is also really good) schroder books on thermal physics griffiths books on electrodynamics but first complete the introductory physics book fundamental of physics(covers vast portion but doesn't go deep) or university physics with modern physics is a good starting point
    2
  28774.  @TheMathSorcerer  hahaha I am currently taking calc 3
    2
  28775. Great video thanks a lot
    2
  28776. Conclusion: incredible growth mindset
    2
  28777.  @TheMathSorcerer  , Your videos helped me in many ways, thanks for your work, I really appreciate it.
    2
  28778. IT Costs 256 pounds on Amazon😭
    2
  28779. Sir, Make a videos on real life applications.
    2
  28780. Math burnout
    2
  28781. 2:41 rip to those who heard this unironically in STEM classes
    2
  28782. Congrats! Felicitaciones! 🙂
    2
  28783. wait! math isn't just math? it has type and stuff?
    2
  28784. I want to thank you for your time and care.
    2
  28785. Should I get the current version of these books or are the older versions good enough?
    2
  28786. Passing by, thanks a lot!!
    2
  28787. I wish I could find friends like you. None of my friends find it fun to study math
    2
  28788. From start to next life
    2
  28789. I always like how you mention your website at the end of every video since last year. That's very helpful. Although if you had a Geometry course, I would definitely buy it no matter the cost. I plan to buy the calculus course. I'm so excited. Right now I have a fractured arm and I'm still trying to learn math although I can't write well with my other arm
    2
  28790. I am like so free from the scourge of vacuous truth.
    2
  28791. It would be cool to see some other recomendations for math books like this one or even physics (please) :o btw nice video
    2
  28792. I have been watching your videos for a few years now, I have picked up Spivak's Calculus, Tao's Analysis 1 & 2, and Garrity's All The Math You've Missed. All of them are great books. I am finally at the point where I am able to take graduate-level courses which is exciting, and I was wondering if you had any book recommendations for grad-level Linear Algebra (mainly to help provide a sense of intuition) and grad-level Differential Equations.
    2
  28793. thank you very much!
    2
  28794. Thanks math sorcerer, but i am getting that dollar 😉😉😉
    2
  28795. I would like to watch more reviews of cheep books, its good for my wallet 🤣
    2
  28796. I'm 36, first year IT student. It's hard to work and study at the same time.
    2
  28797. Calc 2 for the reasons he mentioned in the video.
    2
  28798. Hi Math Sorcerer! Love your videos. I know you said that the book isn't in English. Is there an equivalent in English?
    2
  28799. Epp is brilliant!
    2
  28800. That was a chill video, thanks for sharing
    2
  28801. Great! Thanks a lot :)
    2
  28802. I friggen love you man
    2
  28803. Very clear
    2
  28804. Thank You !
    2
  28805. Nice 👍
    2
  28806. I think I've found the best math channel.
    2
  28807. V I B E
    2
  28808. Hello, can you please tell me where to buy books under 10 dollars; books from amazon and abebooks are way expensive for me. Thank you.
    2
  28809. Hi!
    2
  28810. Missed by a few seconds
    2
  28811. thanks <3
    2
  28812. Could you review the art of problem solving math textbooks?
    2
  28813. Thank you sir
    2
  28814. You can tell this guy lost his mind in the maths and philosophy can you please blink more in your next vid?
    2
  28815. Nice
    2
  28816. Why do you have to show every step of your simplifying? Why can't you jump from the definition of convergence to (1/n)? (Trying to save some pencil lead) :D
    2
  28817. Can't agree more
    2
  28818. May you please make a video on how to know whether prove or disprove a statement? That is, techniques you use as a mathematician.I figure that I already grasp how to prove something. And besides, I've found no videos on youtube about such a topic. I thank you in advance.
    2
  28819. I started math at the start of 9th grade. I loved the game of soving equations and geometry so much. I was sobinspired that though the next year I had gotten through all Calculus for one variable through the next year. I was done with all the math I was supposed to learn in the next years and wanted to begin at university. Therefore I took all the other classes I needed to finish high school and finished over one year. Then I could leave to university and really Study math at A deep level with others who felt the same way.
    2
  28820. ...now I know what I don't know but wait, there's a finish? Got that discrete math book in there I see.
    2
  28821. holy bezos
    2
  28822. Pomodoro 25 - 5 min break
    2
  28823. Thank you for the tips, very informative.
    2
  28824. But I thought homework wasn’t being graded 😭🥺
    2
  28825. One comment I want to make. Terrence Tao got problems wrong as an undergrad. So did Jacob Lurie. I remind myself of this whenever I feel like I'm struggling. We occasionally make our best guess. If it is a good guess, we can build off of that, and if not. We can try again.
    2
  28826. Came across the bookNo bullshit guide to linear algebra Paperback – April 2 2017 by Ivan Savov (Author) what do you think
    2
  28827. Congrat 400k !
    2
  28828. Good sort of information you delivered to the viewers.
    2
  28829. Its funny because it's true
    2
  28830. Is there another section for this class? I think you should have chosen this other book. Can I hand in the homework late? Can I borrow the instructor's manual? Do I have to attend all of the class meetings?
    2
  28831. Your video made me willing to sit down and study some math. Just because.
    2
  28832. Thank you!
    2
  28833. This helped me so much. Thank you.
    2
  28834. thanksss from brazil kk
    2
  28835. That was neat.
    2
  28836. I'm happy to hear this from someone else other than myself. It was like 3yrs ago already, I was so stupid that basic operations on integers are so hard for me, and especially statistics. Now I'm 18, and already solving calculus confidently, which is so much opposite of me before entering college. Its just so surprising seeing things turn like this. It made me realize that we have our own time when we will learn them. MAYBE NOT NOW, IT MAY BE TOMORROW OR NEXT WEEK OR THE NEXT TIME YOU TRY. THAT'S THE REASON WHY YOU SHOULDN'T GIVE UP ON THINGS EASILY.
    2
  28837. Ohhhh!!! This video is awesome!!!! I thought the mathematics were very hardly, but your video motivates :') thanks!!!
    2
  28838. Never had an engineering professor before, but I can remember some professors that acted like that
    2
  28839. Just get Stroud then move on to Kreyszig.
    2
  28840. I completely identify with this video. During undergrad, I was dead sure that I would be accepted at the Courant Institute for my Grad studies. :D And I was not even doing amazingly great at college. hahahahahaha.
    2
  28841. 👍👍
    2
  28842. Cool 🔥
    2
  28843. Talking about books never seen, do you have any of the math books published by the already disappeared MIR publisher?
    2
  28844. Thanks a lot !!! It is unbelievable useful video
    2
  28845. Where's the rat puppet?
    2
  28846. Thanks 😘
    2
  28847. This is awesome I was looking for this kind of video yesterday
    2
  28848. So just curious those first 2 books you posted in the start of your video is what you'd recommend for someone starting out in mathematics? or would you suggest doing pre algebra and then going to that?
    2
  28849.  @TheMathSorcerer  thank you so much, I'm going back to a community college and would love to relearn math and this video was truly helpful. thank you for the response!
    2
  28850. Moments of confusion is good
    2
  28851. keep it up <3
    2
  28852. This man doesn't blink
    2
  28853.  @TheMathSorcerer  Okay I'll search it. Thanks (:
    2
  28854. Probably had a book cover
    2
  28855. Cool!!
    2
  28856. The thing I don’t understand is, if you can teach yourself maths, why people go to college to study maths. Why don’t they teach themselves maths ?
    2
  28857. What about given various ages BBC News - Coronavirus: What are the chances of dying? https://www.bbc.co.uk/news/health-51674743
    2
  28858. Sounds like Schaums
    2
  28859. thanks, you helped me more than people speaking in my native language :P
    2
  28860. This is (quite as) what my guitar teacher told me.
    2
  28861. im afraid of doing bad in calc 3 but this is somewhat reassuring
    2
  28862. I received my copies of Discrete Mathematics and Applications by Susanne Epp and Abstract Algebra by Joseph Gallian...could you please advise which one to start up with ...do I need to learn them in parallel or do I need to complete one book and then move to the next...
    2
  28863.  @TheMathSorcerer  thanks a lot ❤️❤️❤️
    2
  28864. Also what is the prerequisite to understand or prerequisite books before going towards Mathematical Analysis.Is it real analysis?
    2
  28865.  @TheMathSorcerer  yes of course sure ...I have already ordered that ☺️
    2
  28866. Getting high sniffing math books 😂
    2
  28867. Desire is all they need.
    2
  28868. I feel like if the average class rating of a professor is sub-par (say, the average exam grades HE MAKES THE FUCKING CLASS HAVE) we should get a 10% boost on our grade! Because whatevr university decided it was ethical for 94% of the class grade to be made up of exams was STUUPID
    2
  28869. Is there a difference between inverse image and inverse function?
    2
  28870. jeff bezos if amazon failed
    2
  28871. Sometimes you just have to shutup and calculate
    2
  28872. Get a text in English and one in Arabic. You'll get two perspectives and practice in English.
    2
  28873. I gonna give my professional this video
    2
  28874. I thought you're gonna start with 1+1=2
    2
  28875. I had heard the words many times, but I feel like I didn't know what they meant until you said them like that.
    2
  28876. thank you
    2
  28877. Are you math professor or I heard mad professor
    2
  28878. I can see you madness
    2
  28879. More algebra and analysis proofs would be cool!
    2
  28880. I didn’t know this book. I will search for it but here in Brazil is difficult to found.
    2
  28881.  @TheMathSorcerer  it's a terrible feeling! And I've skipped easy problems 😭😂
    2
  28882. interview with Terence Tao PLEASE🙏🙏🙏
    2
  28883. Just ordered it!!! 📕📗📘📙 Thank you for the recommendation! One site note. The quote in French comes from Charles le Téméraire (literally Charles the Bold). He was the Duke of Burgundy from 1467 to 1477. Mr. Polya made a small typo though. The real quote was: "Point n’est besoin d’espérer pour entreprendre, ni de réussir pour persévérer."
    2
  28884. Thanks, helped alot
    2
  28885. Thanks. Great video.
    2
  28886. New subscriber here. I'm planning to study mathematical statistics and the book is not rigorous, it just requires basic calculus as a prerequisite but I don't know calculus. Could you suggest a book that teach basic calculus in a very easy and engaging way that doesn't take me long time to study to understand the basic concepts. I really need to jump into mathematical statistics as soon as possible
    2
  28887.  @TheMathSorcerer  Thanks that was a great video, I think I'll choose breif applied calculus.
    2
  28888. thank you really
    2
  28889.  @TheMathSorcerer  lmao🤣🤣🤣
    2
  28890. Perfect, it's beautiful the exercise
    2
  28891. Btw do u know what's the diff between the 2nd edition and the later editions? Bought a used 2nd ed and uh became a pirate to get 5th edition pdf.
    2
  28892. This video broke me 🤣🤣🤣🤣🤣🤣
    2
  28893. Yes, the fun of learning.
    2
  28894. This isnt even super hard
    2
  28895. What is the better first introduction to abstract algebra and why, Gallian or Herstein?
    2
  28896.  @TheMathSorcerer  Thanks! One more question, how does Gallian compare to Fraleigh . What are the main differences? Which one of these books conveys the motivation behind the concepts in abstract algebra the best? Maybe there is another book which does it better than these two?
    2
  28897.  @TheMathSorcerer  Thank you a lot for taking your time to write this!
    2
  28898. Love your rare book collection. The answer guide is a gem. The blue typewriter ink is interesting, at time 7:30. It looks almost purple.
    2
  28899. thank you so much!
    2
  28900. I've found the only way to do that is practice and repetition.
    2
  28901. "Cálculo vectorial" from Claudio Pita Ruiz is my favorite, you have lots of information and exercises
    2
  28902. Thanks a lot!
    2
  28903. The camera is a bit off or is it just me?
    2
  28904. Jeff bezos on the go
    2
  28905. :)
    2
  28906. Read the book elements of effective thinking
    2
  28907. Nice
    2
  28908. 🇳🇵🇳🇵🇳🇵
    2
  28909. Not gonna lie it looks kinda insane.
    2
  28910. Kindly talk about Engineering mathematics by Stroud and dexter. Also Advanced Engineering mathematics by stroud and dexter Those books help students in Africa specifically the country Nigeria
    2
  28911. Hi sir. Did I get it right that the DE is linear if y and dy/dx is raised to 1? Doesn't matter if it is the second or third derivative, as long as it is to the power of 1? Thank you sir!
    2
  28912.  @TheMathSorcerer  ok sir, thank you so much! Can you do more videos on DE please.. thank you again!
    2
  28913. Thank you so much sir
    2
  28914. thank god i was not paying attention in algebra 2 today
    2
  28915. I'm about to learn this from a final today. I know I didn't put the time it needed but it's definitely a learning opportunity to better plan for the next one :)
    2
  28916. Thanks a lot.
    2
  28917. What is the ideal reading speed for these books? Maybe a chapter per day on average?
    2
  28918. I get what you are saying, but how do we know that this is the only life. This might as well be a dream, and once you die, you dream again. Why do certain people have the ability to do certain things without taking the time to learn it? There is an intelligence here that, in some way, correlates to past actions in previous lives. It is a possibility.
    2
  28919. There is a book with the same or similar title by Sudhir Sood, published in 2022. I don't believe this is an update of McMullen's book, though, is it?
    2
  28920. Thank you for the tips, as a just starting math major student, your videos have been very helpful guides!
    2
  28921. With or without studies the time passes, but its better spend time studying . Thanks Sorcerer
    2
  28922. The prudent study practices you have highlighted here are assuredly key components to learning mathematics, or anything really. However, the attribute that is equally vital, if not more so, to the learning process is developing enthusiasm for the subject at hand. If you can reverse the narrative from "having to do math work," to "wanting to do math work," true progress has been made. This is not easy, of course, but if you can foster a sense of zeal for the subject of mathematics, half the battle is won.
    2
  28923. Thank you!
    2
  28924. Btw this was more religious to maths. Solemn. Then why is that under the playlist of COMEDY STUFF? It was so INSPIRING..... EULER is calling me.....
    2
  28925. The same people were predisposed to be a doucher... knowing maths just gave them a footing.
    2
  28926. really like your video...very encouraging...
    2
  28927. Gonna have to disagree with the quiet environment, it really depends on the individual. Like some famous mathematicians prefer the hectic environment, Mary Ellen Rudin is one such example where she preferred working in the living room while her kids were all around her. It's not so much the environment itself that matters, instead it's the head space you're in. You don't even need to sit down, some of my best learning occurs when I'm walking or contort my body into weird positions (I don't know why, that's just how I feel most comfortable when learning). The notion that you need peace and quiet to learn best isn't always true...sitting in a small, quiet place can also make the mind go on overdrive, can lead to tons of anxiety and make it more difficult to pay attention. Distractions sometimes also forces me to re-read sections or to go through a problem again, starting out it was easy for me to "learn" material when in reality I was reading stuff while my mind started daydreaming (you eventually do want to learn how to solely keep your attention on the subject regardless if there are other thoughts going on). Time-wise I also think reflection can sometimes be more important than rote memorization or work on scratch paper. I remember back in high school I was learning number theory and none of it initially made a lot of sense to me, I was used to memorizing stuff then figuring out how to use the stuff I learned to solve a problem. The work I was doing required some proofs + programming (one of the projects involved implementing the RSA algorithm), something way different than what I was used to from algebra 2 and stats (I think those were the last courses I took before taking the number theory course, been >10 yrs so memory is a little rusty). It didn't click for me until for like a week I was going crazy over lagging behind my peers and not grasping some of the concepts. It wasn't until I sat down and literally just thought for hours what the concepts were trying to point at that I finally got it. Once the stuff clicked I quickly became the top student since I was able to start working from intuition vs habit/surface-level understanding. This isn't meant to demean the learning process, I needed the lessons and the constant scratch work I was doing, but none of it was particularly useful until I finally sat down and pieced together a coherent picture. Intuition is absolutely key if you want to reach a point of being able to innovate upon others' work. Otherwise good video for beginners learning how to start self-studying for math!
    2
  28928. oh man, but you got through!!!
    2
  28929. Respect, I’m happy you got through & stay true through your courses, you’re the definition of resilience 🙏🏼
    2
  28930. Nice !
    2
  28931. Man can you do pre-k to phd book? Or primary school to postgrad
    2
  28932. Amen brother, you ain’t gonna survive a math program without believing in yourself. Math is a meritocracy, sink or swim, it’s not a team sport, it’s more like golf.
    2
  28933. You are my hope
    2
  28934. I wish I had this problem
    2
  28935.  @TheMathSorcerer  people always says we need mathematics for this type of engineering work or that type of engineering work... Whenever I used to see science fiction movie/web series as a science fiction lover I always used to think"what type of mathematics they are using to build those advanced machine & technology" take an example of technology & machine used in web series & movies like "The Expance , Ex machina, Robot & Frank, Alita battle angel, etc" types of work. Happy New year. 👍👍👍
    2
  28936. Your are so encouraging
    2
  28937. This video makes this looks so easy! haha!
    2
  28938. U R THE BEST!
    2
  28939. I am learning English it takes time too
    2
  28940. Fun fact. The stamp at the front of the book "sorting and searching" are chinese, and it says "si chuan computer science, star, library", so this book certainly came from a university somewhere in si chuan which is in china.
    2
  28941. Fascinating but tough. May it require geometry basics, that's even boring.
    2
  28942. It's awesome. I love self-teach mathematics!!! 😍😍😍😍😍😍
    2
  28943. Helpful!!
    2
  28944. Is mathematics about logic or calculating quickly? I mean is it possible to someone who seems to not be quick in calculating to become a mathematician?
    2
  28945.  @alexandertownsend3291  Thanks Alexander :)
    2
  28946. This is AWESOME! Thanks!!!
    2
  28947. Spivak's Calculus is still the best calculus text. Even though it is starting to get dated.
    2
  28948.  @TheMathSorcerer  Wendal Fleming's Functions of several variables is the equivalent of Spivak's Calculus for single variable. A more detailed explanation of the theory of single variable calculus would be Intermediate Real Analysis by Emmanuel Fischer. Both are very big books and contains very detailed explanations. Fleming's bookhas a lot of exercises too.
    2
  28949. So the horsehead isn't a reference to some sort of Math Mafia? Honestly I'm kind of disappointed😅
    2
  28950. This guy's a real troll
    2
  28951. Dude you are awesome.
    2
  28952. Great video!!! Inspired me to study more. Thank you!!!!!
    2
  28953. Eyvallah bro. I understood.
    2
  28954. Thank you for your help
    2
  28955. My favorite technique was to read the sections in the book days before the class. I would find different books and read the same same section. You’ll find authors say things differently and one author might click better.
    2
  28956. Love you sir ji!
    2
  28957. Gracias me ayudó mucho con mi tarea!
    2
  28958. After having midterms, it kind of feels that way 🙃
    2
  28959. It's the end of 2022. Why are you still filming with a potato?
    2
  28960. It is a very scary video 😂😂 I will report this video
    2
  28961. nice one.
    2
  28962. Solve Jee advance ques..if you did that then you're great
    2
  28963. Shouldn't we solve it completely for y(take the fourth root) to make it say y = sqrt4(4ln|x|+C). We are looking for Y after all? Isn't that a bit like solving an algebraic equation and leaving it like x^3=16?
    2
  28964. I know I’m late but can anyone tell me what the difference between the editions of Larson book? The YT has a 10th edition but I see an 8th edition with a nice price.
    2
  28965. I'm taking calc 1 right now... but the first book looked very cool and the proof ones looked cool too!
    2
  28966. can you also factor e^(-x) from ln(7+e^x) and C3 as well and make it e^(-x)*[C3 + ln(7+e^x)]
    2
  28967. Thanks bro
    2
  28968. Please do a video on solving literal equations.
    2
  28969. I would kill for getting that Calculus book by Horace Lamb. Hahaha, Just kidding. But sure I would like to get this book.
    2
  28970. As a grad student, that is really helpful, thanks sorcerer!
    2
  28971. OMG I have the same white rat puppet as the one you have on the shelf! 😁
    2
  28972. I love your channel!! I really hope you keep making videos. your videos help me in my differential equations class 💜 and best of all it is entertaining while learning because I feel like I am in your class
    2
  28973.  @joselrnzrodriguez  true, but nowadays the job market for that requires a masters degree at least. I don't know any math major with just a bachelors making over 70k.
    2
  28974. Really good advise - get as many books as possible as cheaply as possible. I found this to be true.
    2
  28975. I like your stone bro😮
    2
  28976. This video shows up when I just gave up on a probabilities chapter. I am determined, I will get it. just need to give it some time. Lol.... I have a test in 4 weeks tho.
    2
  28977. Nice vid
    2
  28978. Now I got why the name uniform refer to. Big thanks, professor.
    2
  28979. I like the paper format
    2
  28980. I had him as a teacher! Very clear.
    2
  28981. Sir please make a video on all best books of differential equations taking together all books.
    2
  28982. i relate with the 'getting stuck on' thing very much, it happens to me every day. i am trying to overcome it.
    2
  28983. Thanks for the recommendation, looks like a great read.
    2
  28984. You are great!!!
    2
  28985. Me: wth is algebra and calculus .. I only knows.. Addition, subtraction, multiplication, division......😂 that too on a calculator
    2
  28986. First
    2
  28987. what is IRC? I need to check it out. this book aswell. thanks
    2
  28988.  @TheMathSorcerer  OOOOHHHHH so it's not like an open forum that I can just join?
    2
  28989. Please please do a review for “What is mathematics?” book
    2
  28990. Woah, that’s the same Calculus textbook I had in highschool.
    2
  28991. Greetings from York UK .Thank for a wonderful and colourful site that gives one the taste for maths and spend time on reading the subject and diving into maths for real. Thanks Maths Sorcerer.
    2
  28992. what hardness is that pencil? :'D looks so smooth...
    2
  28993. it hypnotizes me how you turn that pencil between each term to not run the tip flat. Ein wahrer Bleistift Connoisseur. <3
    2
  28994. Gonna be honest when it comes to math i'm actually pretty good at it and i got good grades in math but when it comes to last exam i suddenly forget almost all about it and now i'm not in high school anymore i forgot everything even though i'm now an electronic engineering student. Like i study i remember but then i forget i have bad memories
    2
  28995. loved your video, truly motivational ✓ ❤️
    2
  28996. man i really appreciate your videos , they are actually helpful
    2
  28997. 🙄😅 gracias gracias
    2
  28998. Thank you for guiding me
    2
  28999. This video is really helpful. Thank you so much!
    2
  29000. Thanks
    2
  29001. great vid
    2
  29002. You’re a good dude.
    2
  29003. I'm going to print this and stick on my wall👍
    2
  29004. Pencils are for pencilpushers. Pens are for pals.
    2
  29005. Kindly make for fundamental engineering courses like Engineering Mechanics, Materials & it’s Strength, Fluid Mechanics etc. From personal experience, some American textbooks/authors are usually the best out there. The Indian books I tried to use made everything complex. Good books definitely help if the lecturers are bad 😅 I usually dozed off in class when cantilever beams & deflection were badly taught. That Mechanics - Khurmi text book for example is crap
    2
  29006. "Do not mess around with showing work......"
    2
  29007. 45:28
    2
  29008. 58:10
    2
  29009. Calculus 7, lol😂
    2
  29010. Is there any relation between the smell of the book and the "awesomeness" of the book?
    2
  29011. I love when the reggae music turn on and the witch start proving the theory
    2
  29012. i fell for the genius of hard work from naruto, but actual genius is other-worldly:face-fuchsia-tongue-out: not to downplay or challenge anyones efforts:face-orange-biting-nails:
    2
  29013. This is 100% true once you start on believing in yourself it all flows really smooth. I applied this tip in linear Algebra, calculus, general math, advanced Mechanics and so on, at the end yes guys it is all about never giving up.
    2
  29014. It’s dependent on financial aid or if you are paying out of pocket. If you do drop, please get in touch with financial aid before you do. If you are paying out of pocket, there is a cut off before getting a refund or there is another cut off to get a W for drop. You’re in college now, you have to consider what is the best decision. However, know that pre-algebra and college algebra is all over YouTube. You can bust your ass and pass there is no excuse to not learn. I failed my first exam in college algebra after 9 years off of school. I went to YouTube to learn topics before and after lectures . Took notes, did ALL the homework. If I was stuck, go to office hours. Do extra problems since the mymathlab book online gives you the option to re do the problems. If given a practice exam, know that practice exam until you master it. If this is all to much then yes drop and take the easier class.
    2
  29015. nice advice
    2
  29016. I like that method, but there is also l’Hopital’s rule for this. Since it’s in the form 0/0, taking the derivative of both the top and bottom separately becomes (2tan(x)(sec(x))^2+2)/(2x+1). Now, put in x=0, and therefore, the limit is 2.
    2
  29017. Just brought your Calc II course on Udemy! I'm a math major at a CC but I plan on transferring to a four-year for electrical engineering but I like to understand math the way a mathematician would, so your videos are very helpful.
    2
  29018. Awesome video! I always try explain to people that mathematics is great to learn, not only for the maths itself but because no matter what you do for a profession, the skills learned in maths can help you. Thank you for the insight :)
    2
  29019. Thank you my friend ❤️
    2
  29020. Are you Jeff Bezos' brother?
    2
  29021. Here, the “open set” is a general idea in topology. A set is called open, according to Wikipedia, if "the union of an arbitrary number of open sets in the collection is open, the intersection of a finite number of open sets is open". Hence a topology can be both finite and open. For a topology of the real line, however, the open set(or open interval) cannot be finite since it is based on real numbers, but it satisfies the requirements of the general idea of an open set.
    2
  29022. Merry Christmas! Bought
    2
  29023. Back in my college (including grad school) days studying nuclear engineering, our go to reference for special functions was Abramowitz and Stegun: https://en.wikipedia.org/wiki/Abramowitz_and_Stegun
    2
  29024. Jacked mathemagician era
    2
  29025. I wish I could also smell it through youtube! 🤣
    2
  29026. more philosophy content plsss!!!!
    2
  29027. Thank you for that reminder! You have a great attitude - thank you.
    2
  29028. Great!
    2
  29029. So on point. I laughed out loud when delta-epsilon proofs were mentioned, they still give me fits. Great advice & so true. Cheers.
    2
  29030. First viewer
    2
  29031. you're too cool..thanks for the video professor : )
    2
  29032. great job, very clear
    2
  29033. I agree. I know your video proofs are already dumb down but is there anyway you can make them even more dumber?
    2
  29034. Thanks, magic white man.
    2
  29035. Who else just watches these videos for high school nostalgia, having long since lost the ability to actually do integrals?
    2
  29036. I stumbled on this channel randomly, love it!!
    2
  29037. im getting in that burn out phase
    2
  29038. What do you mean?
    2
  29039.  @TheMathSorcerer  same here. You can't do math for too long, or else you just burn out.
    2
  29040. Do you know where I might get the Instructor's Solutions manual? I have the book....
    2
  29041. Man I am little proud of myselfe that i understand this.(I am only 14 and from germany)
    2
  29042. So true! It's a lifelong thing to learn anything related to math, be it statistics, algorithms, discrete math etc.
    2
  29043. This makes me optimistic about my future that i can start learning something new and become professional at any time of my life (well,as long as i'm healty).
    2
  29044. My math teacher in 11th and 12th grade was EXACTLY LIKE THIS.
    2
  29045. First ❤
    2
  29046. I tape flash cards & sticky notes to the back of my medicine cabinet and review them while brushing my teeth. I still need "focused study time" but this helps me stay in "Math mode," it's a small sacrifice, (only 2minutes, twice a day,) and I'm literally thinking on my feet, in a different environment! After a week I'm closing the cabinet and reciting them! Those 2 equations I missed this morning, or that sneaky identity... I'll have a 2nd chance at them after dinner!
    2
  29047. Nicely said sir
    2
  29048. The Math Sorcerer I think that one thing that helps me, is yes, most of the time math makes me feel extremely frustrated and leaves me in a state of serious doubt and emotional stress. But I think it’s amazing that there are ideas out there that have the power to make me feel that way.
    2
  29049. Clear as mud.
    2
  29050. Thank you once again ☺️ also what calculator were you using ? I think I need to buy it ASAP
    2
  29051. Thank you for the video. but how did you get the book with that price?
    2
  29052. This answers my question in the other video. 😂
    2
  29053. Excellent Sir.
    2
  29054. this was a cool video man
    2
  29055. Thank you, Newton. :goodvibes:
    2
  29056. Apparently this book in paper is also very expensive on amazon
    2
  29057. thank you
    2
  29058. Thank you so much!
    2
  29059. You would have made a great rock singer
    2
  29060. ᥫ᭡
    2
  29061. I love the scene behind you
    2
  29062. Ahh thanks to you i finally understood
    2
  29063. Why is it important to make this classification? What's the difference?
    2
  29064.  @TheMathSorcerer  Thanks. But now, with fast computers and iterative solving, this has become kind of irrelevent. Right?
    2
  29065. Thank you!
    2
  29066. ❤️
    2
  29067. lol
    2
  29068. Actually good math teachers are extremely few and far between. What most teachers fail to understand is that the only absolute in math is the result. The path to the answer is rarely if ever absolute. The way to learn math is NEVER absolute
    2
  29069. What am I doing here? I'm in Pre-Calculus xD
    2
  29070. Math is easy
    2
  29071. Thanks so much your video was very helpful. I was struggling with a similar problem and I couldn’t figure out where I was wrong. Turns out I mad a mistake in the very beginning 😂 Thanks a lot
    2
  29072. Could use L hospital rule..it would be much simpler
    2
  29073. Easy but good for making a strong base
    2
  29074. lmao i had that thought once then i realized i suucccckkkkkkk
    2
  29075. I feel like this method can be applied to any type of field. Like drawing for instance.
    2
  29076. I m from Brazil. Excellent video
    2
  29077. Sir, is it true that when we solve problems our brains grows? Is it scientifically proven?
    2
  29078. I really would like to thank you for this video. it's just mmm in time, recently i was thinking about leaving my Engineering studies just because of Maths, i think it's good to be honest about Maths! lol
    2
  29079. Sir, if you make a video about resources it'll be very helpful.
    2
  29080. Sir Can you publish videos on MATHEMATICAL INDUCTION & more and more problems on solving different types of INEQUALITIES
    2
  29081. Great Post. 🙌🏾
    2
  29082. love this!
    2
  29083. Nice👍👍
    2
  29084. I too love blueberry pies, but I don't bake them. Baking is too much work and big washing ups afterwards. I just buy blueberry jam, dairy cream and unfilled Victoria sponge cakes. Spread jam and cream on sponge cake. That is it.
    2
  29085. Most people can only hold three, maybe four things in their mind at once. Anything beyond that brings confusion. Yet there are people who can hold six or even seven. I believe that this capacity is inborn. I also believe that a mind capable of holding four things can collapse” two concepts into one, over time.
    2
  29086. I'm currently moving to a new apartment, and the biggest struggle so far is getting my massive math library moved with me. I imagine you're quite familiar with that particular problem, haha. I did get reminded of an eccentric book I have that might make for a fun video - Its "Laws of Form" by G. Spencer-Brown. There is a wikipedia article that talks a bit about it: https://en.m.wikipedia.org/wiki/Laws_of_Form There are some claims about a proof of the Riemann Hypothesis using the system in the book that I'm wholly unequipped to criticize, but default to severe skepticism. That aside, it's a super interesting unorthodox approach to playing with a mathematical system that I think you might get s kick out of.
    2
  29087. You look llike Jeff Bezos from 1998 (with long hair)
    2
  29088. Never too late to start?
    2
  29089. I really appreciate your work But it's also important to cover each lecture on the exact taught day rather than weekly or monthly studying a subject
    2
  29090. Great video! I am looking and buying textbooks to go back and learn what I learned 35 years ago.
    2
  29091. Dover. Buy Dover paperbacks.
    2
  29092. This was beautiful !! As a student who feels so peaceful after understanding some definitions and theorems, or finishing proofs of good theorems, I think I feel exactly what you said ! Thank you !!
    2
  29093. How much do you remember for the earlier classes?
    2
  29094. Great video! Thank you!
    2
  29095. Hey; why was my comment removed??
    2
  29096. and the order is different , I started with logic , then some diagram then some modular stuff ... is just such a different type of math . I have the hard to read book
    2
  29097. LEGEND
    2
  29098. 1st viewer and commenter
    2
  29099. i learnerd a lot from your video, thank you
    2
  29100. thank you so much
    2
  29101. There is no finish to maths
    2
  29102. Do you learn integration by parts in high school or only after high school?
    2
  29103. Memorization can help you in the short-term. Understanding will help you in the long-term. Choose wisely.
    2
  29104. I think that before time the kid should love what he's doing in math even if he's not good and by time he will proves his skills and get the lessons easier
    2
  29105. Math Sorcerer, If you don't mind, could you please, make a video of how much you make per month being a math graduate.... just tell us, how much you make through math, no need to mention the YouTube income... because, every math graduate can't make a YouTube channel right.... if you're comfortable sharing this info please do share. Because I don't have any math degree and I've learnt all the math I know just by reading books, I do math as a hobby... but now I'm considering getting a degree and turning in to full time math teacher.... but I'm not sure whether I could make enough money through this... I won't be considering much about money, if my family can support themselves through other means, but they can't. So Money is a deciding factor to me. Big Fan of you... no-one inspires me like you do...
    2
  29106. thank you <3 :)
    2
  29107. That's good by which method you just solved this Question then solution is (6) But by another way i did the solution is being (2) by power formula i applied that formula just two times I'm confused over here little bit so please what should be the right solution for this question
    2
  29108. Please add more videos to real analysis or do an advanced calc 2 playlist
    2
  29109. Do you even know how to spell Luck? W.O.R.K.
    2
  29110. It is not hard work if you enjoy the thrill of the search and subsequent discoveries and understanding.
    2
  29111. Just started my first semester in Physics in Germany. We mostly do math though, and I am struggling quite a bit in the analysis subject. I guess I should get an analysis book then?
    2
  29112.  @TheMathSorcerer  Any recommendations?
    2
  29113. What is the title of the textbook?
    2
  29114.  @TheMathSorcerer  Thank you so much! You are the coolest professor I've ever seen. I have so much fun watching your unique teaching style. Very effective and to the point. Amazing!
    2
  29115. The best part is the random turn in times for homework 😂
    2
  29116. I needed to hear this :,)
    2
  29117. Thaks dude.
    2
  29118. Best use of music in a math video goes to...
    2
  29119. The Math Sorcerer Okay we dont have that :-) We immediately construct in an Axiomatic way the Real numbers.
    2
  29120. Thanks a ton bro!!
    2
  29121. Sir do u have any plans for uploading matlab tutoriald for DE's etc
    2
  29122. Surprised no one is saying thank you in the comments. Thanks for the continued upload and explanation of key concepts, sorcerer.
    2
  29123. Can you reply me
    2
  29124. What is notable about Dover books?
    2
  29125. dude is ripped
    2
  29126. Thank you Sire for making this videos and for your advice, your videos are very helpful...and have a great intellectual journey ahead...😀
    2
  29127. I subbed in just the first minute of watching your channel
    2
  29128. I didn't liked mathematics before and thought I was dumb because I couldn't do problems my tution peers could do. I've always liked science but no matter what I was never good at maths. But I want to be good at it and I've seen the beauty of maths. I'll make sure I'm able to become good at it as much as I can. Cool video btw. Something I really needed.
    2
  29129. Hi I'm a math major from greece and I really enjoy your videos! Just a random question, are you a fan of cryptocurrency?
    2
  29130. This is nice
    2
  29131. Thanks man! Good vid!
    2
  29132. This literally came to my feed while I was thinking about starting YouTube again. Maybe it's a sign
    2
  29133. Leopold Vietoris wrote his last math paper at the age of 103.
    2
  29134. When people learn that I studied mechanical engineering it becomes quickly apparent that they have no idea what that actually means. Thanks to this video, I now have a handy resource that explains the majority of what my studies were about.
    2
  29135. Great
    2
  29136. really felt the confusion
    2
  29137. Hi, when you present a book do you recommend going trough all the book or are there section that aren’t necessary if so how do you know what to skip. Thank you!
    2
  29138. Thanks a lot♥️♥️
    2
  29139. This is great..!
    2
  29140. So slow that I understand each word and how they combine
    2
  29141. I draw my inspiration from John Gabriel who I consider a world class mathematician and who's expertise is in Euclidean geometry.
    2
  29142. Jeffery bezoz in another universe..but hey sir great video!
    2
  29143. Many thanks for this good video.
    2
  29144. I very very need these books. Where I get
    2
  29145. What's the point of calculus in 15 seconds @24:53
    2
  29146. Thank you Sir! Hard work beats talent always!
    2
  29147. "If you really understand something, you should be able to teach it." Why, then, do students achieve different results in the same class? As for notes, I think you've hit peak understanding when you can present the class notes from nothing. Can you recapitulate the lecture and its notes because you've understood it? Great. There are several paths to that point. With no understanding, the notes are just an unpublished math book. I don't think we'd agree that understanding is inevitable because a text exists.
    2
  29148. Just wanted to drop by and say that your videos have convinced me to give math a genuine try as more than just a curiosity or a tool. Currently I'm getting two degrees in physics and aerospace engineering, but I've always found abstract/pure math to be super interesting in it's own right. I've been watching channels like Numberphile and many others for a long time, but your videos convinced me to start "doing" math, despite already having taken a bunch of math classes prior. I picked up Smith's "A Transition to Advanced Mathematics" a week or so ago (after watching your vid on it and a few others in the same category) and I'm really enjoying it so far. I'm doing about half of the exercises (pretty much the ones with solutions or really quick problems) and it's a lot of fun (despite the difficulty and that it still feels like doing work). Can't wait to slowly make my way through the theory of all of the applied math I've done so far!
    2
  29149. Thanks for the tips! Can you pleaseeeee make a video where you can show your notes when you read a book?
    2
  29150. Taking Calc 3 rn buuuut Calc 2 whEwEy. Managed to get an A but it's only cuz the integral and series portion boosted all my C and D's in application and work problems.
    2
  29151. The rumors say that this calibers book smell comes from copium that the previous owners had to consume to stay in touch with the real world. Disclaimer: its a joke
    2
  29152. So idk what’s wrong with me but I feel like getting lazy lately with math, since when I study I just pick up patterns but not fully understand the theory like the lagrange, and proving theorems, I wish I can practice more however I have other subjects like physics and engineering
    2
  29153. Jeff Bezos with hair. I'm not even sorry if you can't unsee now.
    2
  29154. Thank you
    2
  29155. Manifolds, Abstract Algebra, Analysis.
    2
  29156. Most accurate video I’ve watched all year
    2
  29157. Are you related to Sam Harris
    2
  29158. "This week's assignment is finding the typo in question 14. Show all work." (:
    2
  29159. Thank you sir
    2
  29160.  @TheMathSorcerer  This is a good video but you went through the problems a little too fast.
    2
  29161. Why don't we get teachers like you in our academics!??
    2
  29162. Tu canal me sirve mucho para aprender inglés jaja☺
    2
  29163. Leithold didátic, Apostol high level.
    2
  29164. Man what a cool book I would love to read it!
    2
  29165. Personally I only took notes about stuff I really didn't understand during lecture, or that I found interesting enough to look into in more detail than the lecture provided. so my typical lecture notes were usually only half a DIN A4 page at best .. also my personal peer group experience showed an inverse correlation with time fellow students spent on taking notes, and points earned in tests. But then again this was at an engineering school, and the first year of math and physics especially were just mostly repetitions of what we did in German "Abitur" classes (Abitur is required for regular universities, but engineering schools and other "univerities of applied science" (Fachhochschule) had lower entry requirement so this was not repetition for most of my fellow students) Studying math or physics at a "real university" would most likely have been a different thing in this respect, especially when it comes to math ...
    2
  29166. I love your honesty, and agree with you that multiple books are best. But IMO, videos can be a great supplement, if they add something different than the usual blackboard lecture style, which I personally find redundant. Videos can be especially good for high level overviews of subjects. Also, it's good to use as many sensory inputs as possible while learning, since audio-visual content can make a big impact, making it easier to recall.
    2
  29167. Thank you a lot for all your videos. I'm heading to Invitation to Discrete Mathematics. Do you know it?
    2
  29168. wait my man is jacked??
    2
  29169. Eagerly waiting for this! Thank god
    2
  29170. I am 51 years old now and I got a job in China so I am now learning Chinese.
    2
  29171.  @TheMathSorcerer  np :)
    2
  29172. I must have been lucky. Always had excellent math instructors.
    2
  29173. a merge of previous math sorcerer and david goggins
    2
  29174. You are right sir
    2
  29175. Wait a minute...you're telling me that there are sharpeners that uses electricity. Wow
    2
  29176. Is there enough hours, theory and practice problems to master the algebra or calculus through your udemy course? Because I need it for Quant Finance, so beed to know very well to study econometrics and stochastics then
    2
  29177. Who are you directing these comments too? I had purchased many of your mathematics courses on Udemy. I had put them aside because I was enrolled in an electrical engineering program. However the tuition is too high plus all the hurricanes have been blowing up my door to get any of it done. So I just withdrew and shifting back to your mathematics and trying to get on campus instead of trying to do the major online.
    2
  29178. Great video, I took notes
    2
  29179. Nice video as always! I like the change in setting. Next time you record outside, might be a good idea to wear a clip-on microphone attached to your shirt. Your voice was a bit muffled in this one due to the environment. I always appreciate your encouraging advice though. Looking forward to the next video!
    2
  29180. ❤
    2
  29181. I used Thomas.
    2
  29182. I love videos like this
    2
  29183. I agree with everything you have said. However, I feel you have left out one "newly" important idea. That is utilizing ChatGPT. If you get stuck in the book, ask ChatGPT or have it recommend a video on the concept to get across the idea. I would use Google, but it would take a long time to find exactly what you are looking for especially if you do not recognize it. ChatGPT has its draw backs, but utilized correctly, it can help you quickly to overcome your hurdle. My two cents...
    2
  29184. Scary stuff 😱
    2
  29185. Yeah, but our axiomatic system is not perfect. There are statements that can't be proven or disproven. Wouldn't math change If somebody finds a better system? Or If we start doing math without the axiom of choice?
    2
  29186. i will do it :,)
    2
  29187. In community college our instructor knew we were all broke and used this. He'd work through some of the problems on the board. He'd write with one hand and erase with the other. He said it was more efficient
    2
  29188. Speed
    2
  29189. My classes are all online now. I hate it.
    2
  29190. good explanation than you
    2
  29191. Super sickkkk ♥️
    2
  29192. Thank you. We all need encouragement sometimes.
    2
  29193. perfect timing! thanks!
    2
  29194. When ur teacher says ima make maths fun and maths ez but you know it still going to be boring
    2
  29195. thank!! the video is useful for me
    2
  29196. Hi wondering, if you think it’s too late to get into math PhD program? I have a BS in math and am working as an analyst for a year. I’m thinking of applying going to a PhD program in 2 years from now. I really love math and just want to study but can’t seem to get over financial and confidence hurdles.
    2
  29197. I love you the mathsoccercer 🤩🤩🤩
    2
  29198. Very helpful. Thank you :)
    2
  29199. I sure miss Number Theory.
    2
  29200. Bro. Be still my heart.
    2
  29201. Real mathematicians use pencils. I've already seen how dirty math is, you've got to get hands dirty to enjoy everything.
    2
  29202. This answer is wrong cuz u canceled out x-4 which is zero , you should have used l'hopitals rule there. The correct answer is infinity.
    2
  29203.  @TheMathSorcerer  Ah, right. My bad.
    2
  29204. I think that cover could be better.
    2
  29205. Hello! What do you think about khan academy?
    2
  29206. Ramanujan sir great
    2
  29207. You have great points in the video. ❤ Just to sum up the genius minds list. Charles Proteus Steinmetz, Nichola Tesla and then you we can put Einstein in the list. Didn't know them gentlemen personally, it's just that because of the 2 mentioned in the beginning the world has electricity plus most of the minds you mentioned are working with the studies and information provided by Nicola and Steinmetz.
    2
  29208. It depends on the fields tha you study, But yes interesting
    2
  29209. I used subsituition t=e"
    2
  29210. Thanks for this. I think this is a serious issue that's not being tackled so much for some reasons. When you love something, it doesnt mean you can't get sick of it. Overdoing maths will lead to burnout no matter how much you love it. What works for me: I do my math research everyday but I dont force myself to focus for long for periods of time. Maybe 2 hrs or 3 hrs are fine already. Then I'd take, say, 2 hrs break. Then I'll decide what to do next that's "different" from my research (but still under math).
    2
  29211. Did trigonometric calculus in grade 12.
    2
  29212. Best video i have seen today. Back in the days trigonometry was my favourite topic, I had solved countless problems.
    2
  29213. If burnt out, then take a break. 😁
    2
  29214. This is great advice thank you
    2
  29215. JUST LOOK AT IT!
    2
  29216. you are hypnotizing
    2
  29217. Cool review! Have you tried Full bpdy routines like Basic Strength and Brad Steiner full body training? If more into athletic training Ross Enamait stuff is awesome.
    2
  29218. Look nice this book i buy to learn my scientific english
    2
  29219. At least there wasn't a line integral.
    2
  29220. Can you do some questions related to limit?
    2
  29221. There's briaalint minds everywhere, especially when you restrict their ability to leave and live in actually decent conditions...
    2
  29222. Thanku so much 🌺
    2
  29223. The most significant problem people have with mathematics is that their fundamentals are weak. Rules for dealing with exponents, logs, plus and minus sign mix-ups, dealing with fractions and expressions of equations. Order of operations, what you do to one side of the equation, what you have to do to the other etc. These fundamentals are weak. That is where 99% of all problems occur.
    2
  29224. The Math Sorcerer I just re-edited my last comment above. I omitted one word "good" by accident. My concentration getting low at some hours.
    2
  29225.  @TheMathSorcerer  Please do a video where you show how to find out if a book is avalible at the local public library because when I type in the title of a book I am looking for on Google to see if it is avalible at the local library i always do it wrong.
    2
  29226.  @TheMathSorcerer  what do I need to learn before learning about graduate level Geometry?
    2
  29227. Please sir tell me name of that abstract Algebra book which is colourful with figures like James STEWART and Larson calculus book because these books contains lots of examples which is very-very easy to understand and lots of elementary examples given ...which could be used for self teaching 🙏
    2
  29228.  @pinklady7184  I appreciate the time u spent finding that information for me...It seems to be you are walking encyclopedia... i was just asking for pintrest but u have given me lots of additional information....i don't have idea that even on Twitter that kinda valuable stuff also available....I only know about Instagram because i have using Instagram to enhance my knowledge of mathematics, there r lots of rich contents also available on Instagram in the subjects like Arts mathematics, physics, astronomy, quntum physics, chemistry, coading, computer programming, machine learning tools nd lots more I am extremely grateful for offering your valuable advice..thank u for being so helpful 🙏
    2
  29229.  @pinklady7184  You have no idea how important piece of information u have given to me...i am so blessed nd fortunate to be the recipient of these wisdom...actually I am learner as well as educator ,currently teaching mathematics to engineering students of graduate nd under graduate levels.....so the link you have provided is going to be extremely helpful for me in future because i am also preparing for most coveted civil services examination with mathematics as my Optional subjects for that context this link would be highlly beneficial....i sincerely look forward to persons like you as mentors....i wish to meet you in person....i wish u a beautiful life filled with amazing moments...God bless u 🙏🙏
    2
  29230.  @TheMathSorcerer  You should do reviews on more books you select from the library.
    2
  29231.  @TheMathSorcerer  Please do more book reviews and please do word problems about angle of elevation and angle of depresion.
    2
  29232.  @TheMathSorcerer  What other books and or subject areas do you like to read about outside of pure mathematics? I like to read about Medicine, applied mathematics, engineering, education, and law.
    2
  29233. Is it worth buying all these or just a subset? What if algebra is not going to be your main area of interest?
    2
  29234. what is the application of the total differential in calculus
    2
  29235.  @TheMathSorcerer  Thank you
    2
  29236. I hated my job as a Medical Coder and Biller. I hated just sitting in an office entering data. Although I am single, no kids, $14.50/hour plus over time was alright, but I just felt like a jack-off and a bum sitting around syphoning the system. Most of the time, I'd be about a week ahead in all my tasks, and I didn't feel intellectually challenged. My younger brother was in college in 2015, so I'd borrow his College Algebra papers and take them to work to do on my spare time. I had originally dropped out of college 10 years ago, failed, and was put on academic suspension (no financial aid). But it is now 2022, and I am building my own degree called "General Studies" where I get to choose all my courses. I got A's in College Algebra and Comp 1 this past semester. Now I am waiting for Pre-Cal to start in August. I borrowed "Trigonometry A Complete Introduction (Teach Yourself)" and "Calculus A complete Introduction (Teach Yourself)" from the Brownsville Public Library to be prepared. As soon as I pass Pre-Cal, I believe I might be eligible for some financial aid again. A four credit course here in South Texas is $638.00 and parking is $60.00. It's expensive, nonetheless.
    2
  29237. If you sit around waiting for yourself to magically want to do something productive with your life, you could be waiting a very long time. Probably until something bad happens, then you will want to do something with your life for a short time, before you go back to waiting again. It's a great way of postponing yourself, forever. When I look at people who have done something with their life, I notice that they didn't do a lot of waiting or finding or worrying or thinking, instead they did a lot of doing. Doing is the fast track, they learned faster that way. None of them were ever spectators in life.
    2
  29238. That’s the skyrim quest font on the cover
    2
  29239. What about Stewart's and Spivak's Calculus?
    2
  29240. You forgot the professor that teach you how to integrate x^2 and then demostraste the fundamental theorem of calculus in one class, then in the exam he ask you to integrate r=5cosθ+(tang^1/3)/θ^2, and that is the "gift" in the exam, because the other points are the harder. (True story, I even copy the exercise from an actual exam)
    2
  29241. Great message,Sir i really love your videos.
    2
  29242. Muy bien, ya sólo me falta aprender inglés.
    2
  29243. Its simple but its the same with learning anything like drawing
    2
  29244. I suffer the same problem and always ends up in thinking why I'm doing this, what does it mean by doing these things in real life, and something which more intimidating than this is - I forget everything every thing what I've learnt, the max retention limit of mine is 2-3 days which worse than anyone I'm surrounded around. I think my mind isn't build up for any kind of mental competition (exams) bcoz when start thinking about any tricky question it takes lots of time.
    2
  29245. I'm a physics major from Europe and we studied calc 3 in my 2nd semester, in the 3rd semester we started with differential calculus
    2
  29246. Wow, I think I used Epp for my discrete math in the late 1990’s?
    2
  29247. What you said about in the first part of video rings true. When you put a lot of effort into getting good at something, you feel accomplished. That creates a self image or an ego around yourself that you're a good mathematician. And that deserves respect. The elitism originates from that I think, wanting to be respected because of esteemed you consider yourself. As well as the desire to gatekeep the superior class you consider yourself to be.
    2
  29248. Couldn't resist the "You shouldn't watch this..." lead. I've been programming since 1965., first learned straight up machine language on Univac 1212, 1218, UYK-7. Went on to learn BASIC, Pascal, Prolog, C, ksh, bash, awk, Forth, COBOL, Common LISP, Scheme, CAML, Perl, PHP, SQL, Ruby, Javascript, and, most recently, Python, which is now, at age 80, my go-to language, in addition to Bash and awk. Yes, I have the K&R book. In the 1990s, I taught the Programming Languages course, using the Sethi book, which romps through t ypes of languages, dwelling a little on Smalltalk in the march toward OOP. Not a fan of C++, there are better OOP languages. Looked at Eiffel (and the open source Sather), glossed over Ada, which is flawed.
    2
  29249. Actually I am from India and wanted to be a Math scientist
    2
  29250. 0:00 lol
    2
  29251. I actually thought you were going to come with something everybody didn't already do throughout their education. YouTube strikes again... 😒
    2
  29252. same with music
    2
  29253. The guy in the video: Take walk and relax Implicit differentiation questions in assignment: You wish boii!!!!!!
    2
  29254.  @TheMathSorcerer  Thank you for your responses. I will try that strategy.
    2
  29255.  @TheMathSorcerer  , I get anxiety believing I am spending too much time on an idea, that is a subset of ideas I need to get to.
    2
  29256. Please don't stop posting these videos....
    2
  29257. What books would you recommend for learning calculus that his best applied in statistical analysis?
    2
  29258. That's some gigachad-level mindset video
    2
  29259. Thank you sir
    2
  29260. Excellent Wiseman. Agree with all what you said... thanks a lot
    2
  29261. “I kept stopping the movie and rewinding it…it was a little slow” 👌
    2
  29262. LOL!
    2
  29263. bro is a league of legends player, cool man! thanks for the tips
    2
  29264. how long to go through these subjects ?
    2
  29265. same i am struggling for 2 decimal places
    2
  29266. Hello Math Sorcerer, it's me again, Struggling Mech Engineering Student. I took your recommendation and I'm brushing up on my calculus to strengthen the fundamentals. I was wondering if you recommend any free calculus course online, I was thinking about taking the MIT Openware Course.
    2
  29267.  @TheMathSorcerer  Great, I'm on it! Thanks!
    2
  29268. Good advice!
    2
  29269. Thanks Jef!
    2
  29270. You're probably too old to be a math genius. You're never too old to learn math, though. I don't believe I'll ever know the breadth or depth of mathematics that the likes of Gauss, Euler, Newton, or Terance Tao knew/knows. I do believe I can learn how to prove theorems and compute solutions that approach the difficulty level of grad school, however. Intellectual achievement = time×[intelligence^effort]
    2
  29271. I liked such a book. Nice.
    2
  29272. I have my dad's copy of this book from 1956 under the title "College Physics". After watching this video, I retrieved it from the shelf and have put it into my reading stack. The Map of Physics is fascinating! Wouldn't it make a terrific large, framed print?
    2
  29273. It was me :D
    2
  29274. A good book for this is Eckhart Tolle - The power of now, super insightful, glad to hear that similar things were in your university guide book!
    2
  29275. Very nice this video teacher. First, because i am 52 and decided to study Physics as a hobby. So I still work from 7am to 17pm as a public school English teacher. I am in the first semester of an online Physics course. I really need to review a lot of stuff. I am having a lot hard and fun work. Sometimes i need to study 3 or 4 hours at night . I really miss books although i have free reading materials online. I am taking notes of the good books you' ve mentioned and others in Physics. I think utube has great impact in my motivational attempt to get the best i can to enjoy math and physics with teachers like you. I really hope that i can do my own videos to help students with their difficulties with math and physics. I teach in poor areas of a small city called Eusebio, the state of Ceara, northeast of Brasil. It is a challenge for everyone. Thanks for you motivation and work to share your experience. I have my channel now and i plan to develop this work for those people who really need motivacional teachers of math and physics.🏆
    2
  29276. can you make a video lecture on these topics of complex analysis 2 weierstrass function . elliptic function in term of weierstrass functions with same periods. Jacobian elliptic function and it's properties ??
    2
  29277. I'm a tool and die maker and I use a lot of basic right angle trig with degrees (no radians or law of sine). How much trig knowledge is needed beyond the basic SOH CAH TOA for calculus that uses trig?
    2
  29278. Thanks for the book recommendations
    2
  29279.  @TheMathSorcerer  Appreciated. I love your videos!!!
    2
  29280. this guy is enlightened
    2
  29281. You look like you could be in a rock band... cool
    2
  29282. You should put Paypal dot me in your description.
    2
  29283. The Math Sorcerer, Gallows Hill and it is an area with number of houses, some with clandestine hauntings.
    2
  29284. This is carzy today i finished my finals and i have two weeks off This feels like a massage somehow
    2
  29285. I usually understand the broad ideas of a concept yet when it comes to math problems, I don't fully understand it until I do a real-world word problem involving a concept. I don't know if that I'm more of an applied mathematical minded person if that is the case. Sometimes I don't know why I do certain things in solving a problem, sometimes I go by the book and if that doesn't help I go online to find an idea. Understanding is something I question and worry about every time I do math
    2
  29286. Damn, thanks for this video. When I look back at my life, I realize that mathematics helped shaped who I am today in a very positive way. It has been a dear friend, and I believe that more people should have the chance to make their own dear friend in math, as well.
    2
  29287. I really think your collection is priceless and would be worth it to pay the extra money to bring it with you. You can store all of the books in boxes and then leave them in a friends house or any other service. And once your all settled in your new home you can ship them back to yourself.
    2
  29288. This got me really excited 😆
    2
  29289. Do Engineers really understand Maths?? 🤔
    2
  29290. Please sir can you make a video about all the math lessons in order for the university because most of us are lost where to star after high school
    2
  29291. THISIS THE BEST YOUTUBE CHANNEL IN THE WHOLE WORLD
    2
  29292. Feliz navidad Man ❤️❤️🍾
    2
  29293. I too judge books by scent, you are a righteous man👏
    2
  29294. You are awesome...
    2
  29295. YES! YES! YES! YES! YES! YES!
    2
  29296. Very Useful Thanks!
    2
  29297. I discovered you at just the right time! Thank you, thank you. I'm struggling in graduate level Abstract Algebra because of the proof writing. I downloaded the Hammack book and will be practicing. I must get a handle on proof writing to be successful in my program. Again, thank you!
    2
  29298. would you recommend this book for a beginner, even though I have a mild understanding in the big idea so to speak? I am familliar with the differential idea of functions but not a punch through understanding about why you can add diffrent degree of diffrential equation and get a logical sum ..... but most of the things solving the equations I understand and I can do the math.... I despretly need a book to read. the textbooks in my language are primetive and dull.
    2
  29299. Hello Professor, I am currently taking Stats 1342. I love watching your homework on YouTube because I am a lot from watching it. How I can follow you your Stats homework?
    2
  29300. Mostly of the time, I am having difficulty finding the homework assignment. I am working on homework, Statistics 4.2. Any suggestions and how I can watch all the sections for the Statistics? Thank you.
    2
  29301. Could you make a short video simplifying f(x) = 1/sqrt(x) which is #37 in Larson 10e chapter 2.1? It would allow you to show a tricky conjugate simplification and also help me out.
    2
  29302.  @TheMathSorcerer  You're the math GOAT.
    2
  29303. nice video ,compact , i like it, thanx
    2
  29304. This reading should be mandatory in all high schools.
    2
  29305. I like the host.
    2
  29306. I have his book "undergraduate algebra", im teaching myself algebra with that book
    2
  29307. Could I ask you if college Algebra and College trig are the same as precalculus?
    2
  29308.  @TheMathSorcerer  I was also wondering if I could also skip precalculus with College Algebra and College Trip and go straight to calculus?
    2
  29309.  @TheMathSorcerer  Ok thank you for your time.
    2
  29310. Dude, awesome video!!!
    2
  29311. how about reviewing E. Hille's Analytic Function Theory?
    2
  29312. Thank you so much for this video, it really helped <3
    2
  29313. Ah man.. next time you need a bad-score student name, feel free to use mine.. my math teacher used to.. well, not my youtube handle.. just Tim.. the name works for everything, really.
    2
  29314. actually sometimes my usual grip starts to hurt (idk why) so I switch to that for a while lol
    2
  29315. There are several modern spherical trig books on Amazon (reasonably priced). I wouldn't call it lost or forgotten math, but maybe just obscure math. Anyway, this video has piqued my interest in the subject.
    2
  29316. Review the Squeeze Theorem.
    2
  29317. you really cleared this up for me thanks
    2
  29318. Bang on
    2
  29319. Hello, how would you compare the Friedberg textbook to Rudin’s Principles of Mathematical Analysis? Is Rudin much harder?
    2
  29320. The Math Sorcerer ok I thought so. If I could get through Friedberg and do the exercises, would I probably be sufficiently prepared for Rudin?
    2
  29321. What do you think about the Precalculus book made by Sheldon Axler?
    2
  29322. Thank you excellent and helpful video.
    2
  29323. I'm so satisfied with my learning plan now. 😆
    2
  29324. this isn't even just good math advice. its good advice in general. Thank you for making this video.
    2
  29325. Let's go!
    2
  29326. Really good thoughts and advice when everyone is so inclined to self-study and abundance of content.
    2
  29327. He looks like Jeff Bezos: Einstein Edition
    2
  29328. Greetings Mr.Math Sorcerer , Thanks..Ok.. Good... Take Care.. With regards, RanjithJoseph (R.J)
    2
  29329. Thank you
    2
  29330. very good book, the downside is - softcover (
    2
  29331. Thanks, All i need to listen I'm on my exam week wish me luck❤️
    2
  29332. Thank you for this video!
    2
  29333.  @TheMathSorcerer  Thank you, I was stuck! This isn't too bad when you are shown the tricks!
    2
  29334.  @TheMathSorcerer  May I please ask a really quick question? It does not involve solving a problem.
    2
  29335. Fabulous collection. One can observe how much the way Mathematics is communicated has changed Edwards to Kaplan, Herstein to Gallian, Hoffman Kunze to Anton... Thank you.
    2
  29336. I watch your videos all the time. It's worth it.
    2
  29337. Occasionally a university department will place a selected instructor in charge of a curriculum critical course to act as a network traffic shaper to control the bandwidth of students into further, higher-level courses in the department. Not only is there a student selection process, but there is also a department faculty workload regulator limiting the number of students to be taught upper division materials. Students must succeed with that instructor to graduate.
    2
  29338. My Alg II/Trig in highschool class contains the same material as the first book
    2
  29339. Nice commentary
    2
  29340. Who the f doesn't work on speed after understanding the material? Like what else can people do otherwise?
    2
  29341. haha I was out of lined paper one day and all I had was plain white paper. Haven't turned back since
    2
  29342. I suggest to make sure you are in a receptive mood. Also, lead in to new material with skills you are comfortable with. Build slowly.
    2
  29343. Just keep up your enthusiasm for maths, because life will always give us the bad breaks one way or another. Do not lose the essence.
    2
  29344. I passed all my math classes on college so I can watch these kinds of videos without anxiety....
    2
  29345. What did I just see
    2
  29346. Really interesting. it resembles the so called Kelly criterion
    2
  29347. I got frustrated because of a math problem then I got here
    2
  29348. Epic explanation, I so much appreciate
    2
  29349. YOOOOOOOOOOOO!!!!!!!!!!!
    2
  29350. Listening to you is inner peace.
    2
  29351. Thank you for this wonderful explanation
    2
  29352. Nice review. Makes me want to get this book now
    2
  29353. I got the copy from the book I'm gonaa read it before the fall semester 👏👏😍😍😍 Thanks I mean the advanced engineering mathematics(1960)😍😍😍😁
    2
  29354. Thank you, great explanation
    2
  29355. let's goooo
    2
  29356. Thanks for explaining that subtlety about choosing the positive versus negative version of cosine. how would you handle a case where your limits of integration start on, say, the positive-cosine side of the unit circle but end on the negative side? Do you have to split the integral into two parts?
    2
  29357. Really appreciate your positivity and motivation! I'm a few credits away from my BA in Math and this is very encouraging to hear, especially for tough times when I just need to buckle down and grind!
    2
  29358. how does it smell tho?
    2
  29359. Had good luck with this, math encouragement is the Best way to achieve betterresults
    2
  29360. Without any loss of generality, that was (up to some term I'll omit) accurate. We can all assume this error to be negligible, so the underlying condition, which we can also omit, still holds. Q.E.D.
    2
  29361. I wouldn't trust this math professor. He doesn't use a chalkboard and I can decipher everything on the board without much trouble. Can't be a legitimate one.
    2
  29362. Why am I watching this at 2:02am after having passed all my calculus tests a year ago?
    2
  29363.  @TheMathSorcerer  Yes, I find you really entertaining and educational, wish I had professors like you! Keep it up! :D
    2
  29364. This is quite encouraging and an interesting idea. Reminds me that, my math sucked big time when I was little and learned it using my native language, a language that is not quite “logical” in my view. Later, I excelled in advanced finance math, learning it using English, a language that I find more “logical” and “abstract”.
    2
  29365. Thanks brother
    2
  29366. Y do you put twice the magnitude of u×v?
    2
  29367. I failed math 10 twice, the first time because I hated the teacher, the second was in summer school and I fooled around with friends. Failing taught me so much more about success...Math is hard because you feel intimidated by not knowing/understanding. There’s nothing wrong with that though, expose yourself to math like you’d do with playing video games or reading book and it’ll flow much easier with you. Mathematics is the language of our universe, it’s amazing to see how far it’ll take us. (Btw I’m a physics major who failed fundamental trig, not because I wasn’t capable of passing but my lack of effort)
    2
  29368. Amazing tip.
    2
  29369. Thank you for helping me with my homework
    2
  29370. A max of three math classes? Oh no ...
    2
  29371. With all the amazing technology capability of today, why do graphing calculators have such hideous displays?
    2
  29372. Hola, soy Erick Samir. Vivo en Colombia. Gracias por los consejos. Me gusta el Álgebra Abstracta y estoy tratando de leer "Contemporary Abstract Algebra" de Gallian ¿es un buen libro para iniciar? Saludos...
    2
  29373. First
    2
  29374. I’ll always try to understand because math is pretty fun
    2
  29375. Thankyouuu!
    2
  29376. Greetings froom Colombia south america. Great channel. parcerito. Amigo teacher. Differential algebra. And algebraic geometry. Books review. Thanks.
    2
  29377. I am currently in my first year of university in the UK (about to go into 2nd year) I wanted to ask about masters and PhDs as that is my big goal, I know it's a long way off but do you think that if you put the work in that anyone can do a masters or PhD? I always keep thinking to myself that when I struggle on simple things or I see a proof method which I would never have thought of which seems very obvious then it brings me down as most of my class understand it well. I have quite a short term memory, I understand things very quickly but also easily forget important details. I just want to think realistically about if the average person can get one. I did pass year 1 with a first class but trying not to get ahead of myself as that was the 'easy year'
    2
  29378. I am not in university so I have no experiences with semester class. While not in college, I just self-study whatever topics I like to cover or explore. Yet, I enjoy freedom from worries about exams, worries over tight deadlines for assignments, Writer's Block interfering with my theses, etc. If I were in college, I could imagine many things of what I'd be doing as a student. For example, the joy of watching professors' maths on chalk boards. Transmuting between home and university. Eating in college canteen and eavesdropping on the most learned erudite people, while studying their diction, speech, suchlikes. Reading books in college library. Rushing assignments to meet deadlines (a good reason for me to learn Gregg shorthand). Very recently, I have been compiling a list of mathematicians in a chronicle order and embedding Wikipedia links in their names inside Google Docs, as I have wanted to learn history of mathematics. I've been noticing social interactions, influences, collaborations, etc among mathematicians. Ideas for maths like theories might have bounced from one head to another. Recently, I have ordered more books as I am addicted to learning maths & physics. I now have roughly between 20 - 30 paperback books.
    2
  29379. Thank you 💕💖 I love math now.
    2
  29380. It’s the do the thug shake dude
    2
  29381. I like what you said about knowing your strengths. I think it's important to use those instead of letting them water and being average at what you currently do. I disagree about envisioning what you want to be like and creating that. I couldn't imagine I'd turn out like this if you asked me even 3 years ago.
    2
  29382. Your video is concise and I love it!! Thank you so much
    2
  29383. Heck yeah let’s get it guys!!
    2
  29384. There is so much to learn! I'm 59 and I hope my mind stays sharp enough to digest it all. I just love the feeling when I "get it"
    2
  29385. That's right no abusive notation yah
    2
  29386. In the Czech Republic, you generally learn the very basic calculus (at some high schools even more advanced), and when you attend university (again depending on courses that they provide and focus on) you do real analysis.
    2
  29387. Great message
    2
  29388. What classes do you consider hard?
    2
  29389. Wow, I literally didn’t know this was a joke till the end, I was thinking dang this is hardcore lol
    2
  29390. Great video! Do you have any opinions on the textbook 'Mathematical Methods for Physics and Engineering' by Riley, Hobson, and Bence? It's the recommended textbook for the maths courses I have to do for my physics degree but I'm worried that because it covers such a wide range of topics that it might not be in depth enough. Thanks.
    2
  29391.  @TheMathSorcerer  Haha for real, it's making me realise how little maths I actually know. Thanks for taking the time to reply! :)
    2
  29392. stop trying to understand math look at his hair that's what happen when you try to understand math
    2
  29393. Why is this soo relatable 😭 my god
    2
  29394. Good advise.
    2
  29395. This was VERY helpful! Thank you sooooo much for this tutorial!
    2
  29396. Thankyou!!
    2
  29397. Why don't give give them away for your subscribers
    2
  29398. First :)
    2
  29399. Thank you
    2
  29400. helpful video
    2
  29401. Shit, wish I knew this before... I failed math all 6 years of highschool.
    2
  29402. Isn't iQ a great predictor of how quickly you learn something, i.e with higher iQ you will learn it much faster than others. But it doesn't predict whether once you learn that thing, you will succeed in that area or not. i.e The person that learnt it slower could still be much more efficient or quicker at solving a similar problem than the one who learned it much quicker.
    2
  29403. Is the book out of print? amazon price seems a bit crazy.
    2
  29404. You prefer the physical book over a pdf copy?
    2
  29405.  @TheMathSorcerer  May I ask why? Do you just like the smell of a real book?
    2
  29406. I swear I have a memory of a fish when it comes to math. The last time I genuinely understand something and actually memorize and master it was back in middle school
    2
  29407. Great and interesting points. Liked and subscribed!
    2
  29408. Lesss go. Bro came in clutch
    2
  29409. Weird flex video, but, ok.....
    2
  29410. thank you man, you are a genius
    2
  29411. This helped so much!! Was struggling on these kinds of problems
    2
  29412. I got a 100 points in Calculus 1
    2
  29413. So there is a royal road to mathematics, after all :) Thanks!
    2
  29414. I wish you dress up as a grey wizard
    2
  29415. Admiró a las personas que son apasionadas por las matemáticas, no es nada fácil
    2
  29416. Thanks for the random rant, it’s good to know you’ve got our back on this one ✊
    2
  29417. What are boundary value problems?
    2
  29418. I actually use your advice in Chemistry although I'm in Calc 2 now. I appreciate your insights
    2
  29419. The most important math in my opinion is discrete mathematics for computer scientists
    2
  29420. .
    2
  29421. Interesting. I found Trig easier than College Algebra.. Just like Geometry in High School was easier than High School Algebra. I guess maybe it's because the visual intuitions from both of those subjects come more naturally to me or something. I dunno. I just remember liking Trig and doing pretty well in it. I've forgotten most of it now though, so having to go through a refresher here lately. Now I wouldn't say "Trig was easy*" per-se, but in *relative terms, it came more naturally to me than Algebra. Take that FWIW.
    2
  29422. I took topology 2 years ago but I don't know anything about. It will be nice learn again.
    2
  29423. I hate profs that don’t notice half the clsss is failing or drops isn’t a problem. Clearly it’s your teaching if it’s half the class not the student. Why would half of these students come to class to fail
    2
  29424. This is exactly the kind of content I want to see, gratias tibi ago!
    2
  29425. This was the first semester of my life I didn't do that, and I regret it. Time to be the flawless speed demon I always used to be!
    2
  29426. Btw, some strategies for training for speed is to do the same problem over and over again. You get rid of that nasty variable where you don't know if you're doing the right thing, and it ripples out.
    2
  29427. This is why I want to achieve financial freedom.... because I will be able to spend my spare time doing what interests me like sitting on the beach enjoying a cup of coffee while solving some math problems without worrying about anything.
    2
  29428. This is an excellent advice, we all know places with names of people we never think of, let's have some curiosity, they're always in front of us!
    2
  29429. Thank you so much 🥺♥️♥️♥️♥️
    2
  29430. This got recommended to me exactly 7 minutes after I finished my Calc 1 final.
    2
  29431. Hi! I decided to learn math! I can dedicate time and effort but not money.. any reviews on the available online programs... Or other plans? Thx ☺️
    2
  29432. Thank you this video has been really helpful (I have wondered about this subject). I'll definitely check out some of the books. Anyone reading this comment: have a wonderful day & stay safe!
    2
  29433. I learned more in this video than I did in all my years of school
    2
  29434. Thank you for videos by the way. I do minor in math and took advance calculus so far. I will take real analysis. This kind of math(real math)is very different from the math ı have learnt before. I can tell rigoruous math is more exciting and real than what I have seen before :)
    2
  29435. im already stress just by watching one minute of this!
    2
  29436. Tx a lot
    2
  29437. Thank you!
    2
  29438.  @TheMathSorcerer  ok .so i need not follow the old ones??
    2
  29439.  @TheMathSorcerer  ok .so i need not follow the old ones??
    2
  29440. On scale of a thru d.. i give this professor an F... horrible... fits into normal professors... berates his students... needs to teach a kindergarden class again..
    2
  29441. Publishers of math books had some amusing names back in the day: Harcourt Brace Jovanovitch... JOVANOVITCH! my friends and I would joke
    2
  29442. Nice sir
    2
  29443. thought it was genetics
    2
  29444. Thank you. I enjoy the deep dive videos.
    2
  29445. very nice
    2
  29446. Book sniffing as a vice is highly overrated😜 ... But you do want to be careful not to overdo it. Remember. Moderation is key in many endeavors. Signed. Fellow (Recovering) Book Sniffer.
    2
  29447. Man old math books are cool and so are old books in geneal. I glanced over an old arthimatkc book series one titled Rays new higher arithmetic and it was published around the 1800s.
    2
  29448. Thank you
    2
  29449. 🙌🏼🙌🏼
    2
  29450. My role models are Michael Penn (and his "that's a good place to stop"), flammable maths and ofc the math sorcerer. All such cool and unique people ye know?
    2
  29451. in what case that they are undefined?
    2
  29452. nice introduction...
    2
  29453. Blue pens and blank white paper!
    2
  29454. Sir where are you from? I ❣️ your content alot!
    2
  29455. Thanks for this video.
    2
  29456. I don't know really what is best for me, I do real analysis like 9 hours everyday and I still do not know anything :D
    2
  29457. "The C programming language" first time I faced her 2014 during my first college semester I was 19 years old college freshmen...Time writes novels..
    2
  29458. Thankyou Sir
    2
  29459. This is great content! 💯
    2
  29460. Thanks a lot!
    2
  29461. Many thanks for this good video.
    2
  29462. "from start to finish" just means what a graduate degree requires.
    2
  29463. I would add, that there are harder and easier universities in Europe, and those students from harder universities are more likely to go over to the USA than those from easier unis. Also those who do well are more likely to go to USA than those who barelly passed.
    2
  29464. Better maths than dull crosswords.
    2
  29465. Yeah but how many days?
    2
  29466. Is advanced calculus the same as real analysis?
    2
  29467. perfect timing for this man, thank you
    2
  29468. lol cough and then all lectures online
    2
  29469. Great work👍👍
    2
  29470. simple and accurate. thanks a lot
    2
  29471. Videos seem to be easier to engage with, but memory of said video dwindles rapidly. Books are far harder to start with, and tedious in the beginning, which drives me away frim them. However, once I move beyond that initial 'threshold', I [often] become obsessed. Which ensures that information sticks. Tech [screens] fail (in my opinion) in efficacy of internalising said information.
    2
  29472. Review on higher alegebra by hall and knight
    2
  29473. I think if you can understand and apply 80-90% of what you've learned you're Gucci.
    2
  29474. 😎😎👊🏼
    2
  29475. ❤️from india
    2
  29476. I love you
    2
  29477. “Oh wut problem ya havin trouble with? We’ll just punch er into the ole desmos machine”.
    2
  29478. Thank you
    2
  29479. When I click on one of your textbook videos, I hit the "thumb's up" before even watching.
    2
  29480.  @TheMathSorcerer  You're welcome, but you are costing me a lot of money, lol. Well, nobody is holding a gun to my head to make me order all these books.
    2
  29481. I’ve been taking a break from math for 3 years now and I think I might push my break for another 100ish years
    2
  29482. Wow ordered on Amazon...❤️
    2
  29483. Thanks a lot
    2
  29484. helped a bunch, thanks
    2
  29485. Cool try Xn = (sqrt(2))^n all over n!
    2
  29486. Hey man… what you been doin? Math and yoga?
    2
  29487. I think you are asking the wrong question. The question is why is maths so bad in US. I believe that it comes from general role of education, culture, health rights etc in the society. European countries are civilizations while USA is a jungle (no offence meant). So here governments actually subsidize those three. And they value education more. But this is a big topic and it does not end or belong here. I wonder if there is something like this in USA. https://en.wikipedia.org/wiki/Kvant_(magazine)
    2
  29488. You're like newton
    2
  29489. Thank you so much sir
    2
  29490. Thanks a lot.
    2
  29491. Wait .. so this isn’t normal?????
    2
  29492. Im the first teacher i love you so much from morocco I have depression 😭
    2
  29493. I’d love to buy these books but so far each one costs around $50 on abebooks 😞
    2
  29494. Dolciani books are the best for high school math
    2
  29495. Those questions don't look that bad (says a guy born in 1956) Reality Break(tm) : Life is word problems!
    2
  29496. Wieghted leather book tool, cant remember who made it. Im sure amazon has equivalent item. I use a 3/4 × 8 solid brass bolt with brass nuts. Beautiful patina and works with most any book. Great for engineers find at agricultural irrigation pump dealers.
    2
  29497. More than years after my last college Cours on Linear and abstract algebra, i'm now using a Book written by Belkacem Said-Houari, the title of the Book is " Linear algebra " And is Edited recently by Springer. The Book is very Clear for beginners, and close to be complete. But i'm searching for a more theoretical book  Textbook Part of the Compact Textbooks in Mathematics book series (CTM) Buying options eBookEUR 21.39Price includes VAT Instant PDF download Readable on all devices Own it forever Exclusive offer for individuals only Buy eBook Softcover BookEUR 26.49Price includes VAT ISBN: 978-3-319-63792-1 Dispatched in 3 to 5 business days Exclusive offer for individuals only Free shipping worldwide COVID-19 restrictions may apply, check to see if you are impacted. Buy Softcover Book Learn about institutional subscriptions Chapters About Reviews Search within bookacem Said-Houari © 2020 Springer Nature Switzerland AG. Part of Springer Nature. Not logged in Not affiliated 85.28.121.44
    2
  29498. Man youre a god 🙏🏼 I was getting really confused and i found this Really helpful thanks a lot 🙌🏼
    2
  29499. Great words Math Sourcerer! Thanks!
    2
  29500. Sir, I enjoyed your video, good information, but please, use Visine regularly, you blinked like three times over the ten minutes and I'm seriously worried about your eyeballs 😭😂
    2
  29501. By self studing i always enter the deepest section of the knowledge and now I've the confidence that i can learn anything and no one can stop me from learning except time. Thank you so much for getting more influence from you sir.. Respect From Bangladash.
    2
  29502. One day i will master Algebraic topology and differential geometry, algebraic geometry and conquer the world..
    2
  29503. Fab!
    2
  29504. grateful to see your channel growing, and you making us grow with all your advices, thanks again for all Math Sorcerer!
    2
  29505. Could you explain why the 4 outside of the limit cancels out the denominator?
    2
  29506. This explanation is great!
    2
  29507. Sir you are 100 Percent correct and what i think sir is "being lost in mathematics is the best experience you can ever have"
    2
  29508. I think Egyptian, but I am not sure.
    2
  29509. Jordan is where I'm from.
    2
  29510. Abdallah Kiswani you are the first Jordanian I have ever met online. Nice to know you. Irish here. 10:24 PM in Ireland. I bet it is near midnight in your country.
    2
  29511. I'm Algerian bro
    2
  29512. 5k subs for a cool dude cool
    2
  29513. 6:21pm eastern time
    2
  29514. Dude, it's a matter of math IQ. I studied some time and did not study at other times and was always good in math. Some are just not as good. There are genetic capability differences whether you like it or not.
    2
  29515.  @TheMathSorcerer  ohhh so like differentiating trig functions?
    2
  29516. Don't stop making these videos
    2
  29517. Ahhh multivariable calculus
    2
  29518. thing is I've been locked up for 5 months going crazy because of this fucking virus
    2
  29519. Math really make you hungry When i got my first degree in math I got 98 ... Every time that I just study tons of math I ate over 4000 thousands calories
    2
  29520. No
    2
  29521. How do the exercises compare to Spivak’s?
    2
  29522. SPEED, I AM SPEED
    2
  29523. On lonely Saturday nights I often put on fancy pants and curl up with a fancy math book
    2
  29524. the goat
    2
  29525. Thank you for doing higher mathematics videos
    2
  29526. Why did anyone want to dislike this?😅 Thanks btw✨
    2
  29527. Thank you.
    2
  29528. Is this video fine for me ? I used to sleep in my math class in high school and now suck at it . I want to fix this , so are these books appropriate for me ?
    2
  29529. Because particular odd and even integers are being taken. It is like saying: if n is even, then there exists an integer k such that n=2k, and vice versa.
    2
  29530. dude the captions!! im not native in english!! would be of great benefit bro!!
    2
  29531. Mark Zuckerberg if he was hobo
    2
  29532. phenomenal video
    2
  29533. this makes me feel less bad about struggling in college
    2
  29534. Thank you so much. I have come so far since I saw the video in 2020. I always come back to this video due to its significance. I bought a lot of the books you recommended in this video. All of them are awesome. You showed me and all the people who have already seen the video and who will see this video that learning math isn't that hard when you have the right recourses.
    2
  29535. More videos like this please ❤️‍🩹❤ im feeling really Down and i can't concentrate but i really want to achieve thisss 😔
    2
  29536. Excellent video! Now I feel power to learn Calculus III after 4 months later of taking Calculus II
    2
  29537. And subscribed 😅🤓
    2
  29538. Hi. Can you make a roadmap to self study algebraic geometry? I'm interested in learning algebraic geometry. However, there is no university in my country that offers that course. Thank you in advance.
    2
  29539. I graduated at engineering and then decided to study simultaneously math degree and a PhD at mathematical analysis (operator theory). It may seem a madness, and yes, I confirm it. Now I'm at my third PhD year, and starting last course of the degree, but I'm feeling completely overwhelmed since a long time ago. If I could go back, I would spend more time with friends and family and less time studying. As you say, this is not a race.
    2
  29540. Hey math sorcerer it would be very nice if you give a talk on metric and normed space.
    2
  29541. I’m agree , i did math physic in high school and i did calc 1 and 2 in high school . It is so different and you are right
    2
  29542. They just don’t make books that look like this anymore. It’s a shame.
    2
  29543. Yep, in physics and engineering too
    2
  29544. Your videos help me a lot. Tqvm
    2
  29545. That many people agree that advanced calculus is the hardest class is a clue to the likely truth that more people are under-prepared to take the course. Given the commonplace observation that too much, and often the wrong, material is jammed into prior calculus classes with insufficient time allowed for students to comprehend the depths and interrelations of the material, it should be no surprise that a proof of concepts calculus course should be hard. Here's a curriculum reform idea for you. Separate the engineering calculus service courses, with their heavy emphasis on problem solving, and light load of proofs, from another calculus series that does less problems, and more proofs, at a more leisurely pace to allow comprehension and understanding. Require this course as a prerequisite for advanced calculus, and deny entrance to the engineering course students who have not taken it. Likely the result will be happier and better prepared math majors, engineers who are oblivious to what they are missing, and graduate math profs who don't have to watch so many students writhing in agony as a result of their inadequate preparation.
    2
  29546. It looks like you missed a square there? 3rd term. Before it goes into 9x?
    2
  29547. I,m in grade 9 is this OK? 😮
    2
  29548. Thank you sooo much
    2
  29549. God among men
    2
  29550. Ahhh I was so careless and lazy I just went from - 4 to 0 and 0 to 4 HAHAHA
    2
  29551.  @TheMathSorcerer  I just realised integration Bee and I'm trying to do all of it in my head through ur playlist. I just got my A level results and will be doing Math and applied maths in Xiamen university on 23rd. I wanna explore more of maths :D
    2
  29552.  @TheMathSorcerer  It was actually a tough choice because everyone discouraged me to take this course and opt for engineering instead because of job prospects. Now that got me seriously thinking if I made the right move
    2
  29553. I've done that too at my exam where I did the entire test, and recalculated almost everything except the really obvious answers. I didn't change a thing though
    2
  29554. 2:23 the Susanna book says in preface "A good background in algebra is the only prerequisite; the course may be taken by students either before or after a course in calculus."
    2
  29555.  @TheMathSorcerer  I have noticed that the author said she is focusing in Computer Science student and I am a Chemical Engineering who want to start math from scratch but the important part for me till PhD. Which chapters are important can you help ?
    2
  29556. Your books, your choice - however… I’d do my best to find a friend that would let you store them - mine can be dispersed after I’m gone, but not before then - I hope they go to good homes, but, if not, I’ll have a dumpster in my will…. Enjoy your travels! As an aside, I moved to Europe and back with my entire library - filled a large shipping crate - relatively inexpensive since it was based on crate size, not really weight, and books are “very dense”. I try to go “light” through life, but books (not the e-versions) help make life going through!
    2
  29557. Degree course messed with my math passion. Back to it again though.
    2
  29558. Peter capusotto?
    2
  29559.  @TheMathSorcerer  You scored a Geek-tacular find, MS!
    2
  29560. YOU HAVE A COCKATIEL TOO?
    2
  29561. What's purple and commutes? An Abelian Grape!!!!
    2
  29562. Unrelated question: have you read how we got here from there? A story of real analysis. Would like to know your opinions on it
    2
  29563. First ᕙ( ͡◉ ͜ ʖ ͡◉)ᕗ
    2
  29564. I'm your big fan🐈Sir🙋 I always click your video when i see your yt videos notification 😇👏 Thank you.
    2
  29565. Chales está en inglés😭
    2
  29566. Here is my list: 1. Too much time on Netflix. 2. Too much time with friends. 3. Lack of interest in math. 4. Developing poor, lame excuses to avoid focus study time in a quiet zone. 5. Studying math while listening to music. Don't get me wrong. I love music, too. I think classical guitar hymns is great study time music. 6. Living in a furnished room establishment in a big city, which is HELL ON EARTH. 7. Living in a loud ghetto area with disruptive neighbors who care nothing about your peace of mind. Need I say more?
    2
  29567. I really had to hear this after I bombed my first advanced calculus exam despite preparing for hours
    2
  29568. Love his teaching style.
    2
  29569. Thank you for teach me❤❤
    2
  29570. Been watching this everyday since it dropped…these are awesome!!
    2
  29571. I think that the disc method is hard to learn because some teacher don't use riemann sum to explain it.
    2
  29572.  @TheMathSorcerer  Excellent video.
    2
  29573. Megaaaa FFFFFF I watch your videos a lot and this was on my test 😭😭😭😭😭😭
    2
  29574. Also, learning LaTeX in a week to do the homework.
    2
  29575. Lets go then
    2
  29576. I love the Thompson book! I washed out when l was in college, but I think that was for young adult "life" reasons rather than difficulty. I didn't apply myself. I love math now (and I've had some really nice supporting successes since then).
    2
  29577. Nice video, thank you 👍🏽
    2
  29578. I've been stuck on some overthinking recently regarding my studies, and still am somewhat. Eventually, I'll study mathematical modeling during my undergrad studies with a concentration in applied mathematics. So, I was looking for books on mathematical modeling, especially good-sized recent textbooks, to study ahead, but either they are very expensive or old and likely outdated. After much overthinking about weighing cost vs. need, I decided to order two: Meyer's Concepts in Mathematical Modeling and Bannerjee's Mathematical Modeling: Models, Analysis and Applications each costing about 9 U.S..D. and 33 U.S.D. respectively. I wish the latter book was of a much lower cost but I decided to make that purchase and move on. There are more books on the subject, but I cannot find more that are low-cost while somewhat up-to-date. I think the best I can do for now is to make the most of what I have and move forward while looking out for opportunities to get more suitable resources. Perhaps it's best also to realize that the choices we make are not necessarily written in stone We might not find a satisfactory resolution but can move forward with what we have while being open to other better resources and opportunities. Thanks for the video 😊
    2
  29579. LOVED THE VIDEO !! KEEP IT UP !!!
    2
  29580. I watched this a few days ago and was able to track down a copy for $12. I can’t wait for it to come. Thanks for the info and book. I wouldn’t have known it existed with out you.
    2
  29581. x⁸/8+C, Cε
    2
  29582. Can't wait to take calc 7, sounds fun
    2
  29583. What does pre-algebra means exactly? What does it entail?
    2
  29584. Where do I start
    2
  29585. Do you have G.H. Hardy’s book ‘A Course of Pure Mathematics’? What’s your take on that one?
    2
  29586. I just got it today. It’s nice 👍🏽. Please do a review if you get it, that would also be interesting.
    2
  29587. Remember that Kernighan and Riche book well! I agree it was helpful along with other texts when I was learned C back in the 80s. One of my professors was adamant that we read it.
    2
  29588. a lot of inspiration. Thanks
    2
  29589. Very good sir
    2
  29590. I am first
    2
  29591. Perfect . Then can dive deeper.
    2
  29592. I think this make sense but I really need the material and want to earn more points. So if you can explain how to slide will make more sense.
    2
  29593. Advanced calculus is what I'm taking. Its really just a fancy name for intro to real analysis at our uni
    2
  29594. I think that you should better use a clothe to erase the board cause if somehow you accidentally touch your eyes or nose then it may harm. Rest is up to yu .
    2
  29595. A simpler way to write the solution is y=ax-a-1 for a=2±2√2, looks a little cleaner.
    2
  29596. What do you think about the free textbooks by openstax ? Are they a good alternative?
    2
  29597. thanks!!...dang that chalk is small ass hell..lol
    2
  29598.  @blackbox8490  Yeah, but as he said in the video, it is more about hard work and dedication.
    2
  29599. I'm here because of Sheldon hahah lol
    2
  29600. Thanks for all You doing. I am dreaming to move to from Ukraine to USA and become a part of math talks community.
    2
  29601. Can you do a video on recommend course load?
    2
  29602.  @TheMathSorcerer  I should be more specific. I'm a community college student. Looking at my future courses I'm a bit shocked at how many difficult classes I'd have to take for my Applied Math degree. For example - Chaos Dynamics, Applied Probability, Numerical Analysis, and Partial Differential Equations. That's a lot for one semester and that's not taking into account humanities requirements
    2
  29603. wow... this borders on advanced calculus lol
    2
  29604.  @TheMathSorcerer  One of my Proofs books has 5 sections on Quants Quantifiers I: The Construction Method (35) Quantifiers II: The Choose Method (45) Quantifiers III: Specialization (59) Quantifiers IV: Nested Quantifiers (69) I think almost all my other proof books have quantifiers in it too, so this should be exciting!
    2
  29605. So I'm the (positive) square root of 36... Oh no...! There are other hidden comments!
    2
  29606. Don't forget to upload the video of your 'interviews' with the NSA, FBI, and Homeland Security after they see this video. LOL. I can't be the only person who let this joke tickle me for a second.
    2
  29607. Thanks for your help
    2
  29608. Ah yes, starting with binary truth and false statements... we gonna be human computer mentats, boys
    2
  29609. The book I used too, back in 1986 ! Shout out also for Programming Windows 95 by Charles Petzold, and Javascript by Dave Flanagan - 'The Rhino'.
    2
  29610. I use mechanical pencil
    2
  29611. GOAT!!!
    2
  29612. Many times I gone through conic sections, still unable to get hold of those, especially the hyperbola. This lesson is a cool stuff on hyperbola.
    2
  29613. He looks exactly like his name is professor Astrid
    2
  29614. On which platform can we currently ask questions from you?
    2
  29615. 3:15 subscribed
    2
  29616. ''So we have to find the derivative of this function but there is a square root... so what we can do then is just get rid of the square root and write it like this. I'm using the same function but it doesn't really matter.''
    2
  29617. Baby steps + discipline
    2
  29618. For anyone wanting advice. Read, practice, watch videos, listen to math problems with your eyes closed and let your resting brain allow math terminology to just swamp your unconscious. Then when actively practicing, consider how much relativity chemistry, astronomy and etc is involved in math. Your confidence will naturally increase and reading a textbook will become a manual that is desired. ✍🏻
    2
  29619. I spend too much time watching Math Youtube videos:)
    2
  29620. That hits home so hard. I'm having flashbacks to my calculus and algebra courses at university. xD
    2
  29621. The age limit does not exist.
    2
  29622. I used Thomas in 1979. What took so long for you to review it?
    2
  29623. nice
    2
  29624. could you please make a video on how to prepare for master's thesis.. like when to start searching for your desired topics.. i finished my first semester for my master's degree however.. i'm afraid for I don't really know what area of math i am good at. thank you :)
    2
  29625. what do you think about the book by sherbert and bartle? also how about understanding analysis by abbot?
    2
  29626. what caption japanese what again
    2
  29627. Every zero... is the same zero 🤯🤯. Just absolutely blew my mind for 20 minutes thinking about that.
    2
  29628. 👌🏿👑💡
    2
  29629. Thanks sir 🙏🏻🙏🏻
    2
  29630. 4 more years I will engulf it
    2
  29631. Hi Math Sorcerer Guy, with a good book like Discrete Math by Epps which is quite thorough in Mathematical Logic & Proofs, is it still necessary to read Mathematical Proofs by Chartrand & Co in order to get to the next level?
    2
  29632.  @TheMathSorcerer  Thanks for your reply. But you can still learn those proofs from reading Abstract Algebra & Calculus.
    2
  29633. Yeah that is a good point. I am becoming obsessed with maths, thats the only way to go far. One has to take charge of ones learning, and take it seriously. But thats the rush isnt it! lol. i get such a rush after certain milestones for ex. when i can understand whats written in a game theory book for example. its esoteric, which increases the honour of understanding this fine art.
    2
  29634. Thank you Sir for your wonderful advice 😊
    2
  29635. I do not understand calculus of differential forms.
    2
  29636. Boy You NAILED IT Perfectly! Damn, I went absolutely NUTS in my 1st year in Grad school. I had to work at least 25 hours/day, take 3 math classes, then my dad got sick & was hospitalized. It was a semester from HELL - the Worst Semester and almost got kicked out of grad school. I just didn't have TIME to study!
    2
  29637. Bruh, Kreyszig is such a great author. That functional analysis text and his text 'Advanced Engineering Mathematics' are the best in their subject, imo
    2
  29638. dove in here to see the comments from fellow land surveying/geomatics/GIS person. Happy to see it.
    2
  29639. ¡MUCHAS GRACIAS!
    2
  29640. Joe mathezos
    2
  29641. How to solve any problem: 1solve the problem 2 see the results Hahhahhaa
    2
  29642. 🎉🎉
    2
  29643. That book is not that old, ya bastard. ;)
    2
  29644. Dude you look so awesome!
    2
  29645. Unfortunately, as you must be aware, there is no "finish" to mathematics.
    2
  29646. a falta de unos pocos días para que empiece el curso hacía falta este video
    2
  29647. I should have chosen math back in 1990. Too late, my friend.
    2
  29648. you are a star.
    2
  29649. 😅🤣🤣🤣🤣🤣🤣
    2
  29650. What's your take on Sam Sulek? He would be a good dude to induct into our little Math Sorcerer cult. He's some type of math student, a bodybuilder, and a fan of Marcus, Seneca, et al,.but most importantly, he's got YT clout. You could pretty much ordain him into the high priesthood right out the gate😂😂😂
    2
  29651. Good 👍
    2
  29652. I didn't understand an ounce of this but following you as you go through it still feels really good.
    2
  29653. Not putting points on exercices is a good way of ruining a whole class.
    2
  29654. I'm NEVER GOING TO GIVE UP!!!!!!!!!!!!
    2
  29655. Can you please give these books to some needed student . As a middle class student in India I can't able to get these books . But I love mathematics . So please help others
    2
  29656. Oh Thanks man!!
    2
  29657. Great video Mr. Math Sorcerer!! Whats the name of the background theme? Sounds like great study music to me.
    2
  29658. most thanks to you Gandalf
    2
  29659. Thank you teacher a lot!
    2
  29660. Thank you very:goodvibes:
    2
  29661. you got a retake exam??
    2
  29662. THANKS! you are amazing
    2
  29663. buena demostración, es fácilmente entendible gracias
    2
  29664. bro what music is that in the start, its kinda fire ngl
    2
  29665. thank you
    2
  29666. Please do a home tour!
    2
  29667. Typical school situation
    2
  29668. Age doesnt matter. Your Academic interest is part of your call.
    2
  29669. Yes you did leave something out and that is ask God for help as well
    2
  29670. I've had some math instructors that would say all sorts of things like 'I'm not a professor'.
    2
  29671. You mean if Churchill had given up the war by accepting Hitlers peace offerings, right?
    2
  29672. Idk why I’m here tbh. I have a 97% in the top math class available in my school. But I still learnt something :)
    2
  29673. Don't be content by just being able to solve a hard problem. How did you solve it? What was the key/keys to solve the problem or make a proof? Much in math is about recognizing the type of problem and knowing the key tricks.
    2
  29674. I got a clean 10th edition for fairly cheap and also an excellent solutions manual that gives explanations for all the answers in the main book
    2
  29675. My level 1+1=2
    2
  29676. Hey man , can u suggest a good discrete Mathematics book I am confused between Rosen , susanna epp and Grimaldi . I am not that good at mathematics so something that could explain concepts with simplicity would be really helpful.
    2
  29677. Okay . Thank you.
    2
  29678. yooo i do that too!! even though im in 10th grade in france so its really simple, i always unintentionnally redid my tests after finishing because i always had 40 minutes left !! i always did that :D
    2
  29679. The first tripple integral is impossible. There is an X outside of the dx.
    2
  29680. Well, I’m 35, and this year I’ll be applying to universities so I can go to grad school for math. I want to earn a PhD in math and get paid to do research. Maybe I’ll achieve this goal, maybe I won’t make it for some reason. I have to do something in my life.
    2
  29681. i read flee as flea, thought you had an army of fleas taking over
    2
  29682. I am a PhD student and in my late 20s I'm starting math again after 10 years (maybe a new career). Go for it!
    2
  29683. (NOT SO) BASIC (Abstract & Linear) ALGEBRA
    2
  29684. Hello math sorcerer, would you please advise on the best book to start intuitively understanding epsilon automata machines, its elementary math foundations...grateful for your reply and all the best for your channel..
    2
  29685. thank yu so much for this channel
    2
  29686. You're a jewel. I'm glad you think the way you do.
    2
  29687. Ohh thnk you professeur very much❤❤
    2
  29688. Thanks, dude, I've always believed in self-study for LEARNING lol.
    2
  29689. I have the 2003 edition of the same book. The one with the cool yellow cover that has Lev Elsgolts written center bottom in bold.
    2
  29690. Amazing Go-To List!!
    2
  29691. wouldn't you divide both sides by -1? you can't multiply on both sides of an equation if it isn't a fraction
    2
  29692. So in other words, don’t just believe in yourself, believe in the people who believe in you?
    2
  29693. I agree with you and am in that boat currently. It's hard to do especially when you work full time, but you cannot lose either way if you TRY. Hate to say it, but for me, it's a grey area. If it works out trying college, great...But as you have said in other videos, sometimes one has to study harder if it doesn't seem to be working out. College has shown itself to be a personal growth journey not just about the grades, but about what it takes to get those grades. I don't think anyone has an excuse not to at least try. Nothing will ever go as planned or is easy or ideal. I really enjoy your short, pointed topic videos from your perspective. Thank you for helping us all out here!
    2
  29694. Used this book for my JEE preparation.
    2
  29695. Plz never stop making videos ❤❤
    2
  29696. Do you have any tips on what area of pre calculus that someone should be completely familiar with in order to be very efficient in calculus. For ex, trig identities, basic algebra etc
    2
  29697. Thanks for another excellent recommendation!
    2
  29698. Thank you for sharing
    2
  29699. The reserved for future use was probably there because they didn't wanna mess up the page numbers when adding content.
    2
  29700. Especially for the 'I disagree, I think there is an error on page ___...'
    2
  29701. just shut up and take my like.....and you are awesome.
    2
  29702. ❤❤
    2
  29703. 🤣👌
    2
  29704. lets go i am first person here
    2
  29705. I feel like the first situation you talked about with the extra homework was the teacher’s fault too. I mean that one kid shouldn’t have spoken for the whole class, of course, but the teacher should really know better than to give a bigger load to the WHOLE class.
    2
  29706. True I think wht he meant is that you should improve your efficiency of your system 2 And this is crucial especially for math test and physics
    2
  29707. Since this video is so old, you might not be able to respond, but can you make a video on how to take notes during lecture and how to take notes during self-study? I feel like they are very different from one and another
    2
  29708. Mind blowing!
    2
  29709. I think it's not really a good thing to compare yourselves to others tbh. But I agree somewhat, that you can do often more than you think you can
    2
  29710. Looks like a cool book. I have an old copy of Foundations Of Computer Science C Edition by Alfred V. Aho (the A in AWK) and Jeffery D. Ullman that I like.
    2
  29711. THANK YOUUU
    2
  29712. You have made so many videos within a day or two. I hope you have put all your videos in playlists.
    2
  29713. 😂🤣🤣🤣
    2
  29714. How is this book different from Terry Tao's 2 Analysis books?
    2
  29715. Study smarter, not harder
    2
  29716. i can't stop laughing...😂😂😂
    2
  29717. Very easy I could do it on my own
    2
  29718. I will get that book someday only when I will first have learned off calculus, linear algebra and trigonometry, before embarking on topology.
    2
  29719. Interesting video! Thanks!!
    2
  29720. Can you post videos on how to study definitions and understand it or visualize it? I m self studying elementary analysis by kenneth and no matter how much i reread the definition i don't understand it.
    2
  29721. This video is great haha
    2
  29722. Halmos was onto something. ;)
    2
  29723. Gold.
    2
  29724. Unless, of course, you're an engineer. Signed.. Registered Professional Electrical Engineer
    2
  29725. I love self-learning from textbooks and watching vids, but during term-time, Uni spoils my enjoyment of it by force-feeding it into my brain, even when full, then penalising me when most of it is, necessarily, excreted.
    2
  29726. Super
    2
  29727. Hey math sorcerer, suggest someway for better understand( ROCKED) a proof based math courses like analysis, abstract algebra, topology...
    2
  29728. love this, similar on how i study. I try a lot of examples to learn where i didn't understand and proceed to learn it. This is so helpful thanks!
    2
  29729. thanks man!
    2
  29730. I hate maths
    2
  29731. I am taking calc. I'm slow and take hrs to do one question. I don't have enough time on tests. That's why I perform not so well
    2
  29732. thank you!
    2
  29733. You’re honestly best guessing because at least you have a 50/50 chance of getting it right.
    2
  29734. You mentioned some modern textbooks are less rigorous than older textbooks. I’m interested to know more about what you mean - fewer proofs or less systematic in favor of showing the mechanics of solving?
    2
  29735. Needed this
    2
  29736. That's so me, yes it's really very difficult to get over that feeling 😢
    2
  29737. Love from India ❤️
    2
  29738. This 5 things are too good thank you sir.......... Im trying to do that
    2
  29739. Yep. In french its equivalent is c.q.f.d. which symbolizes "ce qu'il faut démontrer" which means "that which had to be shown".
    2
  29740. I had this book, 7th edition in Spanish while at high school. At university I had the Spivak book.
    2
  29741. You explained that very clearly, thank you so much!
    2
  29742. "Iota 8 sum pi" lmaoo
    2
  29743. Subscribed my man. Just worked out a hard calculus inequality giving me trouble all day (college freshman) that my friend found easy lol. But I’m actual quite proud I did it myself. Perhaps you could make or refer me to some good proofs introductory videos, or logic and argumentation videos? :) much appreciated bro
    2
  29744. The Math Sorcerer thanks a ton bro 👍
    2
  29745. This is absolutely amazing!!
    2
  29746. I am quiting social media. This was s the only channel I will be watching.
    2
  29747. Informative. Thank you.🙏
    2
  29748. Can one use these books without taking calculus before? Will these textbooks be able to give the knowledge usually given in the calculus course?
    2
  29749. A person's job title or job location DOESN'T REFLECT HIS/HER math knowledge or capabilities.
    2
  29750. Ongg solving math's makes me smart. I love your videos professor (. ❛ ᴗ ❛.)
    2
  29751. Didn't know Bezos is a part-time professor!
    2
  29752. So, someone shouldn't enroll in 2 different online degree programs for 2 different degrees at the same time? 😂😂. I think if someone is using financial aid to take college classes they have to maintain at least a 2.75 GPA, but I might wrong about that.
    2
  29753. The statement about Wolfram Alpha had me in stitches XD
    2
  29754. you know whats been driving me crazy about analysis. in analysis its too easy to either mention too little details, or mention too many in proofs. I mean i sometimes did the latter in linear algebra but in analysis its something else. where do you strike the fine line in between.
    2
  29755. Thank you good sir
    2
  29756. the four day break between Calc 1 classes is quite possibly the most dreadful time of my week
    2
  29757. you should explain the part at 1:14 a little more, i mean why you can do that. Everything else is pretty good to understand!
    2
  29758. 6:25...let me help you. Pronounce it like fear and add an "er" . That's how to pronounce Vierer.
    2
  29759. Truth!
    2
  29760. BY GOD YOU ARE SO LATE! WHERE WERE YOU WHEN I WAS IN SCHOOL!?
    2
  29761.  @TheMathSorcerer  Merry Christmas 😆
    2
  29762. Thanks for the videos man!they helped me a lot.the best of YouTube for me,i watched all your motivational videos.Now is time to go out and put all this theory to practice.thanks again :)
    2
  29763. I need to get through highschool math first
    2
  29764. 0:55 LMMFFAOOOOO
    2
  29765. Fuggin perfect. Thank you
    2
  29766. The Math Swolecerer
    2
  29767. it's a standard problem we let third year high school pupils solve in Italy.
    2
  29768. Thanks man. I think I knew this deep down but I didn’t want to admit it
    2
  29769. Good sir
    2
  29770. Are you related to Jeff Bezos??
    2
  29771. I felt Abstract Algebra had a bigger spike in difficulty midway through while Real Analysis felt more consistent throughout. I've heard the toughest class at my university was Statistical Inference. Luckily I never had to take it.
    2
  29772. Please sir
    2
  29773. True
    2
  29774. sinx is linear?
    2
  29775.  @TheMathSorcerer  ah yes we just tackle it, btw thank you for clarification :)
    2
  29776. Still own a ti-85. I actually have 2, one for spare parts if necessary.
    2
  29777. Well, this actually will give intuition so when the time come you will feel that it is easy
    2
  29778. First
    2
  29779. Calculus 2 of course
    2
  29780. But he just listed books that equate to years of hard study. I don't think you are using the term "spoon-feed" correctly. Also, I don't know what you mean by "anyone can do this" either. Yes, anyone can read a book, but only those with the talent and grit to stick with it will become a master of any craft.
    2
  29781. You have a interesting way of seeing thanks, thank goodness for YouTube Recommends
    2
  29782. I'm not sure 'elitist' is the word I want to use but your video sparks a thought I've had before. There are a few popular math books that are good in terms of content covered and exercises given but they are TERRIBLE (and I mean SOOOO TERRIBLE) at teaching. Honestly, I don't like any of Rudin's books for actual learning. I like to consult them as references and also for picking up pieces of knowledge AFTER having learned the subjects elsewhere. There are many better books out there that are less terse and just have so much better exposition. Some of them are published for free too! I think the tradition of always assigning these books as main references is problematic in Math across the world. Frankly, those books can be used as syllabuses for what you should go find elsewhere.
    2
  29783. What isn't elitist ?
    2
  29784. Super book...a complete book.. generation after generation..Hall and Night super ever living authors
    2
  29785. I am good at math and I always had a 4.0 gpa, but as soon as I got into a prestigious university and took enriched calc I got wiped out :(
    2
  29786. I am just opposite of u , as i am the most pessimistic person lol.
    2
  29787. Good morning
    2
  29788. This is helpful, thanks a lot!
    2
  29789. Interesting, thanks for sharing !
    2
  29790. I like how the title says math but the material is actually some vector calculus that math major usually learns in high school
    2
  29791. Question: so if my g(x) was -18x^(2)e^(2x). Would my initial Y sub p be (Ax^2 +Bx +C) e^(2x)??
    2
  29792. cant wait for your diet video, also great video. This channel inspire me to study and get better health. thanks
    2
  29793. Incredible book!
    2
  29794. Your videos are amazing thanks professor
    2
  29795. Gonna really start using that abusive notation
    2
  29796. Thanks for the video ❤
    2
  29797. Bought it through your affiliate link 👍
    2
  29798. lmfaooo this is every math major in their 1st and maybe even 2nd year. But once they reach the end of their 2nd year classes they either get mentally beaten to the point of being humbled or changing majors/quitting uni
    2
  29799. thanks sm bro, i’ve been trying to understand this for so long 🙏🙏 you a real one ☝️
    2
  29800. Congratulations!
    2
  29801. very helpful
    2
  29802.  @TheMathSorcerer  wow!they are pretty hard.I Will compete next year then!!thank you very much for the answer!!! :)
    2
  29803.  @TheMathSorcerer  thanks!!!
    2
  29804. (We appreciate these) is smaller than 33,333 ? How? Show me the proof!
    2
  29805. I’m happy that I have plenty of time at the moment to study maths
    2
  29806. Bro lots of books❤
    2
  29807. Very good video!
    2
  29808. What you say about math applies to everything non-trivial. Coding, chess, literature, music, art, ... Nowadays, everyone who is not absolutely superficial is considered nerdy.
    2
  29809. Thank you sir
    2
  29810. Thank you for this. I've been looking for a good progression for learning advanced math for programming. One question... where are you finding these books for under $10?
    2
  29811. Shout out to anyone that kept that cockiness through their undergrad 🤣
    2
  29812. I will be here someday.
    2
  29813. may sounds weird but have a positive mindset, stay positive ! biggest advance I´ve got literally, I used to be really bad at math but I had an awesome mathteacher last semester and that really changed a lot for me
    2
  29814. Thank you so much life saver🙏
    2
  29815. Getting this for my son (and myself , I’m mathematically challenged) .
    2
  29816. What do you guys think about a former math student getting back into math as a hobby?
    2
  29817. thanks!
    2
  29818. I use this book for personal studies in analysis.
    2
  29819. stat 2 is no joke tho
    2
  29820. Thank you so much for these videos! I am your new Youtube channel subscriber! Just found out your channel through recommendation when i was searching some math videos on Youtube! I myself is also teaching my self some math, although I have yet reached the point to start on calculus course. But it is good to know what I will need to do after I start learning them. I am currently in the middle of learning basic trigonometry(maybe high school to college level?), after I am done with those im gonna review my notes and do some integrated courses on Khan academy( which is where i learn math from), then I will be also teaching myself some high school statistic and probability, cuz i feel like its gonna be useful somewhere. After all these, I will do one more course, precalculus before I dive into the calculus. From there I will probably change abit of my study style, and try something new to countermeasure the difficult lessons i will be learning. Since what i have done so far is just to build my math foundation, I want to have to steady base before I build more on it. Your videos are really informative, so I will be staying around here and see what can help me!
    2
  29821. Is the proof still the same if my x is approaching to infinity?
    2
  29822. Very clear!
    2
  29823. You really are inspiring.
    2
  29824. Yes master I believe in you
    2
  29825. Thank you
    2
  29826. I study EE in Canada and this seems about up to par for what we study these days. There is A LOT of math. I know that up to a couple years ago students had to take numerical methods as one of the math courses but it's not a requirement any more
    2
  29827. Try, "Pure Mathematics for beginners by Dr. Steve Warner "
    2
  29828. I am from Bharat 2nd year BSc Mathematics Student.
    2
  29829. I'm from Lebanon and I'm first year studying physics. I take real analysis and algebra ( sets mappings...) and that's just first semester. Hope that info will help.
    2
  29830. HELP!!!!! What are the n's for and where do they relate and why do they matter???
    2
  29831. more specifically why is n>N and what is n I know capital N is a Natural number (thanks for using Z+ btw....the less N's the better....)
    2
  29832. First year undergrad student, I also play league haha
    2
  29833. Excellent information, thank you~
    2
  29834. the martian music was interesting !!
    2
  29835. get up and just work 💪💪!!!
    2
  29836. We need a new roadmap for math
    2
  29837. Have you made a video about a mathematical phd vs a philosophy in math and logic. I don’t understand the math and logic degree
    2
  29838. I don't know absolutely nothing about math but I'm so fascinated with it I would love to speak for about 5 seconds what it's like to run calculations through my head lol but your videos are so addictive I'll just sit and watch and read from the sidelines of all you amazing smart people.
    2
  29839. I am Happy 😊 when watch for the video Thank you 🌹🌹 So much 👍🙏
    2
  29840. Thanks for sharing your wisdom. You are like a cool Mick Hucknall.
    2
  29841. ok so: 1. Get born again with better start 2. Hmm maybe reincarnation will work? 3. Lay and do nothing 4. just kidding its over 5. XDD
    2
  29842. Thank you
    2
  29843. I'm pretty damn happy math professors don't say these things. I wouldn't want to live in a society where engineers get A papers for being there and trying. Even though trying is important, engineers do need to know math sufficiently to do the work where people need to survive from their innovations.
    2
  29844. Where do you find these books, man? This is awesome
    2
  29845. I actually learned more after university, because I learned something that was interesting but also earned money. So the incentive is to learn more about for me to learn more about it.
    2
  29846. Online maths exams sucks ass. Fortunately, I don’t have to take maths classes this semester, because I would have dropped it temporarily.
    2
  29847. I have less issues with online classes, but I hate online exams.
    2
  29848. Wow ,and this is why guys, this man is my man.
    2
  29849. Please make a playlist of these motivational videos for every time I’m struggling at maths, thanks.
    2
  29850. Your excitement matches mine and damn dude that's awesome.
    2
  29851. Those holes look like bite marks from a cat. Don't believe me? I've got some books which my cat actually bit and scratched and it just looks like this
    2
  29852. Brother porfa has un review de ambos libros Higher Algebra. Ya ves que hay dos. Porfis bro. gran video
    2
  29853. What do you think about Tom Apostol's Calculus Volumes I and II?
    2
  29854. Great content and subscribed! Would love to hear what you think of our grad school channel. Thank you.
    2
  29855. I must be getting better, because I solved this one right away. Thanks for all you do!
    2
  29856. Any suggestions for hobbyist mathematicians. Ex-chemical engineer with calculus 4 semesters(back in the late 60's it was 4 instead of 3 semesters) and 1 semester of ODEs? Semi-retired Internist who still enjoys reading about math. There is minimal math in medicine. How does one figure out his own math preferences? Thank you.
    2
  29857.  @TheMathSorcerer  Thank you. Your channel is great!
    2
  29858. Needed this so much. I'm doing a Data Science degree and I'm behind/struggling with the math involved.
    2
  29859. Great advice. Your humility and dedication inspires.
    2
  29860. By the way he looks like Sir, Isac Newton though .
    2
  29861. I recently purchased the complete guide to futures market by schwager. I think it includes everything from murphys book
    2
  29862. Please reply to my comment I'm having my final exams in less than a month and I need some help
    2
  29863. 1000 comment
    2
  29864. I once helped a Fields Medallist sort out a business issue (and one whose achievement is considered really revolutionary even by FM standards). Completely pleasant and unassuming and quite happy to talk about public transport or whatever. No ego at all. cough Brit cough 1986 cough
    2
  29865. Cool book! Thank you!
    2
  29866. thank u <3
    2
  29867. Wise advice, as usual
    2
  29868. Great video!
    2
  29869. Plz review mathematical analysis by zorich
    2
  29870. Super video
    2
  29871. it’s a really great point, looking at someone who brings the subject to a new level where I’m not there yet, but somewhere to look forward to. Also a great change from being with your friends, even ones u admire but keep replying to math with "oh no, I could never"
    2
  29872. .... and this is why I refuse to go to school, can't have it interfere with my education :P
    2
  29873. This was good! made me laugh 🤣
    2
  29874. Thnx u i reallly need that😭🤍
    2
  29875. The first book in the list costs 160$ why
    2
  29876. Book finder was good for the other books but the first couple books about discrete maths were still very expensive, but I found them as free PDFs online so I think I’ll just read them like that
    2
  29877. Thank god I’ve never had a math prof like this...
    2
  29878. Great, I enjoy your lections!
    2
  29879. Very helpful advice. I always get stuck on something when I need to just push through and maybe see the bigger picture also
    2
  29880. Can you make a video about Riemannian geometry and geometry field for grad students? Thanks for great videos
    2
  29881. we call that "paralysis by analysis"
    2
  29882. I have one better: Real Engineers use Pencil, because it's erasable
    2
  29883. Thank you soooo much. This helped me a lot.
    2
  29884. I think my gift is learning. I love learning new concepts and really trying to understand them. I love sitting down and studying for hours. It's amazing to me how your mind can do things that you thought were impossible. Especially doing things just with a book, a pen, and paper. Just three things and those three things are so precious to life. That's why I believe I would love teaching because I love to learn but more than that I love to help others learn what I learn. Once I see that lightbulb go off for them, to me that is the best feeling.
    2
  29885. What is C.W?
    2
  29886. OMG thank you so much for the motivational videos! I'm currently an undergrad mathematics student, but I've been doubting myself a lot lately and wondering if I can make it to a good gradschool. Thank you Math Sorcerer, your videos really inspire me to keep going! I hope I can become a great mathematician someday!
    2
  29887. Thank you for the motivation Sorcerer I’ve always liked math and ur channel made me like it even more!
    2
  29888. Professor see you soon
    2
  29889. ♾️❤️♾️
    2
  29890. Erdös was powered by amphetamines
    2
  29891. Hey, Jeff Bezos stop trolling us.
    2
  29892. My next university year begins in 2 months, since I live in New Zealand. As for papers (classes for the Americans [I think] or modules for the British) I'm taking, it's just standard fare CS + Maths first year papers such as calculus, algebra (linear algebra and similar), discrete structures (discrete maths), some stats, and two programming papers.
    2
  29893. Do you have any good book recommendations for applied mathematics or word problems? Something for an engineer or physicist that wants to improve their ability to derive and solve an equation for physical phenomena?
    2
  29894. "I know today's lesson was on U substitution, but the department dared me to teach you it in terms of w(x) and never actually explain what it is. So if you look at this simple integral from 3 to 8 its easy to see the answer is 4. If you guys have any questions... your homework has absolutely nothing to do with this."
    2
  29895. This holds for really any pursuit in life :)
    2
  29896. Cool channel. Thumbs up and subscribed. Math is one of my lesser hobbies. Chess too. And yeah, thinking does make me hungry. Thanks
    2
  29897. I had procrastinated yesterday too,I did it..it was math myself. Just pushed myself to do it.
    2
  29898. i prefer sol. 1 because u just gotta make it to improper fraction
    2
  29899. It came in time 👍
    2
  29900. Yes am...what I have...thanks...
    2
  29901. Awesome video!!
    2
  29902. Wow man you’re great
    2
  29903. It only hurts when you get stuck... Its a thrilling ride as long as you understand.
    2
  29904. How spring semester 2021 will happen
    2
  29905. jesus i don’t know what’s worse, now understanding all of this, or understanding all of the references. this is literally my professor
    2
  29906.  @TheMathSorcerer  thank you! And oh god you replied in 5 minutes, I'm left speechless
    2
  29907.  @TheMathSorcerer  class as in!?
    2
  29908.  @TheMathSorcerer  yep it is not a course because I'm a high school student in India. The stuff coming in the exams are pretty legit tho xD
    2
  29909. How about teaching yourself Mechanical Engineering start to finish ?
    2
  29910. danke mann
    2
  29911. After watching this video me - lemme solve the millennium dollar problems.
    2
  29912. Thank you!
    2
  29913. maybe only the best of other countries get to to study(live!) in the US...and since math is hard, and US kids are already in US, they lack motivation
    2
  29914. Student: Cough in class Warren G: Time to regulate
    2
  29915. Thank you soooooo much!
    2
  29916. Thanks alot
    2
  29917. man, what a video 😮
    2
  29918. Love your quality sir !
    2
  29919. I'll never get tired of hearing..."remember, it's hard for everybody"
    2
  29920. Get over your fear of "word" problems. Every problem ever encountered in the history of humankind, solved by physicists, started out as a word problem. Applied physics and applied math are the process of taking a problem statement in words and applying the laws of physics and mathematics to solve the problem. If there were no need to solve real world "word" problems, math and physics would be nothing more than academic fantasy land. :face-green-smiling: :face-green-smiling::face-green-smiling:
    2
  29921. I totally agree with you.
    2
  29922. 😂😂😂😂😂😂
    2
  29923. My kid 4.6 years old leant maths on her own.
    2
  29924. Thoughts on music while studying?
    2
  29925. i was studying math for my exam at the high school and i didn't anderstand well my lessons i felt very sad but after your video i really relaxed and i understand what i must to do know thank youuu
    2
  29926. hi sorcerer! love your videos!!
    2
  29927. College, like I took the basic stuff in grade school but starting with calculus in college really changed my perspective. Tho I am an engineering major so I prob won’t be doing too much “math for the sake of math” but seeing it applied is really cool especially calculus
    2
  29928. My university is shut down for two weeks but they may extend it if things get worse.
    2
  29929. I mean you've enriched us with your channels and specifically books for many videos i'd love to chip in with everyone to help you get them around with in fact i'd really hope you'd do that .
    2
  29930. My teacher didn't bother to explain how to do this. Thanks!
    2
  29931. I work out every morning and I still don't know what I'm doing math wise (😂)
    2
  29932. Thank you!
    2
  29933. Yeah! I'm pumped up. I am going to make the library and framework for my dream game in Unreal Engine. I ultimately have a full game in 2 years.
    2
  29934. Paused 2 minutes in... funnily enough the Susana Epp discreet math book is already on my reading list. edit: almost every book you suggested is on my list.
    2
  29935.  @TheMathSorcerer  I did most of a math degree as part of my physics degree many years ago, and I picked a list of books to use for review since I haven't used any of it since. The only book I used that I didn't see on your list (or I missed) was Kuldep SIngh's Linear Algebra.
    2
  29936. I thought this video was going to be boring 💤 but it is nice 😊 but I still hate lectures
    2
  29937. to finish??? lol
    2
  29938. Shadow wizard money gang
    2
  29939. Holy cow your class room size looks small
    2
  29940. Hi math sorcerer! I’m posting this comment here because you probably wont see it on a 2 year old video haha. Anyway, remember your video on the hardest Calc 2 test you ever gave? I wanted to download the pdf but the link in the description didnt work. Do you think you could update it? Thank you!
    2
  29941. In Brazil we also use Stewart
    2
  29942.  @TheMathSorcerer  We have both versions, in English and Portuguese
    2
  29943. I always enjoy these math major advice videos! As a mechanical engineer major minoring in math, I thank you! 😀
    2
  29944. One more thing that may sound counterproductive, but good in the long run, teachers shall make many mistakes, funny ones that emphasize the failure-prone nature of table/paper calculations - as long there are students who tend to fail at basics - and let the very same students correct them. It is also a psychological/compassion thing which people being "too smart", i.e. explaining stuff too fast are missing - that comes really handy when writing and testing and debugging computer programs. As computers interpret programs blindly they are really similar to "bad" students who follow rules blindly, but when using a computer IDE, there is a lot of tooling that help catching these mistakes early. Sometimes the goal in education is exactly such, in a test: get it right, no workarounds, no proof, just drill. Keeping this aspect alive is also important as there are many situations in life when one does not have the time to ponder about - and encourages clean and fast thinking that is rather required - well, most of the time of our mechanized world. :) The effort put in correcting wrong tests is so often underestimated... actually that is, what hackers thrive on.
    2
  29945. Any other game, something like Age of Empires 2 Defitive Edition?
    2
  29946. Ive seen that Abstract Algebra is being used by Chemists, though.
    2
  29947. Thanks.
    2
  29948. Exactly!!!
    2
  29949. great video sir! I really love your content ❤
    2
  29950. i feel like youtube somehow knows i just made a D on my math final and am barely passing college algebra which is why this is recommended to me
    2
  29951. vamoos argentina 🇦🇷 todavía 😎
    2
  29952. Me 28 and started second degree bc i left the preview one after 4 years there since didnt like it
    2
  29953. Jeffrey Bezos. Come on Jeffrey you can do it...
    2
  29954. May God be with you in your bad and good time 💟 Thanks a lot mister
    2
  29955. Damn thats a very nice squat rack. When I get enough money, i mma put one in my garage.
    2
  29956. Beautiful
    2
  29957. thank you so much , Patience is important in life in general, and its fruits are always commendable and very impressive
    2
  29958. Diminishing returns. Going any longer than 6 hours provide less incremental benefits and the increment gets smaller and smaller as you go above and beoyond the 6th hour. There's plenty of material out there about the psychology of performance, one easy and fun read to get started is "Talent is Overrated" by Geoff Colvin. The book popularizes the concept of "Deliberate Practice" and touches on how long you can go while properly practicing at basically everuthing.
    2
  29959. no human being should hold a pen like dis...
    2
  29960. Make a video about calculus by Howard Anton
    2
  29961. You do not specify what the PURPOSE of this test was. If a person holds a B.S. in mechanical engineering, and is applying for an engineering job, or admission into an advanced program in that field, this test would be very appropriate. By the way, those log tables were a gift from the gods! I took a class in analytical chemistry in 1972. Pocket calculators were coming onto the scene , but were outrageously expensive. Consider....an HP-35, which had the capabilities of a $10 calculator from Walmart (today) cost $400! (that's 1970s dollars!). For my class, I had to do calculations that required more than the three significant figures afforded by the slide-rule. The solution? LOG TABLES! To multiply two numbers, you looked up their logs. You added them, then looked up the anti-log of the sum. Division was done the same way, but you subtracted. Suppose you wanted to divide, say, 18.6936 by 208.7743. Would you rather look up the logs of each, subtract the second from the first, then look up the ant-log....OR, do it by long division (and use up half the paper with the calculations)?
    2
  29962. Im glad I stumbled upon this channel
    2
  29963. Like a my life. but my way theoretical physics.
    2
  29964. why didn't you use the characteristic equation at first?
    2
  29965. Stolen knowledge from Godzilla 😂
    2
  29966. What about ?? Differential Geometry &Tensor Analysis
    2
  29967. I think aerospace engineers guys ahve it tough too. I find fluid dynamics to be really hard
    2
  29968. Very encouraging. I need to follow this tips in developing myself.
    2
  29969. I failed differential equations the first time at Rensselaer Polytech Institute. Second time I passed.
    2
  29970. what about being obsessively motivated?
    2
  29971. I always want to do math. I love it. I thank God for math. Do you remember the math instructions given by God to Noah for him to built the ark? God is the best mathematician. I love pizza. I have the belly to prove my love for pizza.
    2
  29972. I feel like this was written specifically for me. Thank you
    2
  29973. 4:54 lmao
    2
  29974. a my senior age is hard to find a job and learn math is a little difficult but thanks for you motivation
    2
  29975. thank u
    2
  29976. How are You
    2
  29977. Thank you! This is the most helpful explanation I have seen by far.
    2
  29978. My advice to the person who made the question is that he should get also a dictionary of mathematics (for example the Oxford basic one is very cheap), in that dictionaries at the end it usually has an index of symbology, like 8 pages long classificated in topics. I have been always interested in mathematics notation and where the symbology comes from, that is why I have read a lot of profesional made tables of symbology and have read about history of mathematics. By the way, congratulations for the half million subscribers Sorcerer.
    2
  29979. This is great advice. My life seems to be taking a turn for the better in other things and your videos contribute to that in their own way. Thank you so much for being so sharp!
    2
  29980. What about prob theory I mean the jump from high school
    2
  29981. How many books do you know that have the Chapter 0?
    2
  29982. How can we reach you to email you questions?
    2
  29983. 10:54 You know, it's not too late; you can get a Honda Prelude for like $5k these days. Not bad at all for 90's JDM
    2
  29984.  @TheMathSorcerer  Hungerford is great too of course! I'd also recommend absolutely ANYTHING written by Rotman.
    2
  29985. Jeff Bezos???
    2
  29986. Try "A Course of Pure Mathematics" by G H Hardy for an old school text from 1908. Its a great read.
    2
  29987. Elon Who?
    2
  29988. Watched this. Now I speak Finish.
    2
  29989. I clicked to see weather the speaker is a man or a woman .
    2
  29990. estoy esperando que hables de este libro en españól
    2
  29991. Do we have to study all these books.. for each topic about 5 to 7 books? kindly reply!
    2
  29992. yep, that's it
    2
  29993. Have you heard of Bhaskaracharya 1, Bhaskaracharya 2, Aryabhatta, Rishi Kanad, Rishi Pingala, Varah Mihira and Brahmagupta? Since you love books thought of checking.
    2
  29994. There is a book called Lilavati. Wonder if you have heard of this one🙏🏻
    2
  29995.  @TheMathSorcerer  While Lilavati is a book written some time in early 12th century by Bhaskaracharya 2 and named after his daughter but the rest are names of individuals (not books). May I add two more names of individuals - Sushruta and Patanjali.
    2
  29996. i almost didn’t graduate from high school because my grades were so badddd then in a summer course of 10 days this teacher basically taught us everything ( what ppl learned for 3 years i had to learn in 10 days. ) and i actually passed with a good grade. for some who got zeros to get like a b ?? even i was shocked. guess for me it had to do a lot with the horrible teachers i had that made me hate math so much. also i skipped classes all the time well 😅 still not my favorite subject tbh but i love trigonometry??? guess cuz i just get it faster lolllll
    2
  29997. Love for apply-eval
    2
  29998. please don't response also made progress with education; youtube, repetitions. that simple... will have money for math books in 1-2 months, can already listen to math. current plan: 5 years math, 2 babies and hopefully one fields medaille later then we'll make khosla ventures the leading vc firm on planet earth
    2
  29999. This is an important technique that has ramifications in advanced statistics when finding the MLE Prof 33:00 when doing logarithmic differentiation do we need to say that we can take ln of both sides because the functions are one-to-one and monotonic or no?
    2
  30000. My hardest class was Galois Theory.
    2
  30001. Same applies to learning how to play a musical instrument.
    2
  30002. Integration by substitution is literally the chain rule worked in reverse! However, this is easier said than actually do because it requires lots of practice, i.e., working lots of problems. This is because the integrand will usually be in reduced form or sometimes algebraically re-arranged in a way that obscures the function F(x) you’re trying to find. Although there are some mnemonics that can sometimes help you take the first step, relying on them is by no means guarantee for success nor is it a valid substitute for doing lots of integrals— through lots of dedicated practice in finding anti-derivatives, patterns will emerge over time so that you can develop your own intuition for how to attack an integral rather than relying on a ‘recipe’ for finding anti-derivatives. If you rely on a mnemonic, you will only be able to solve the easy problems but will struggle with any problem that you likely encounter on most calculus 2 exams. Bottom line, if you decide to rely on ‘shortcut’ of a mnemonic, and don’t apply yourself to finding lots of anti-derivatives, you should expect to earn only a passing grade (C) in Calc 2, and possibly a B. If you want to crush Calc 2, put in the effort to build your anti-differentiation skills. Not only will you be rewarded with a better Calc 2 grade, you’ll also be well prepared for the Calculus ‘feature attraction’ called Differential Equations where the theme of the entire course is dedicated to finding anti-derivatives!!
    2
  30003. You should do a tutorial of how to use bookfinder.com.
    2
  30004. There are free sources everywhere on the internet for learning.There is no excuse to be ignorant.I have C programming for nostalgia.
    2
  30005. birb pog
    2
  30006. I don’t know why I watch your videos as an electrical engineering student lol I guess a part of me wishes I had the courage to follow my true passion
    2
  30007. Could you make a video where you talk about every lesson on math from first grade to bachelor/master I mean what you have to know
    2
  30008. Yu help me thnks dude
    2
  30009. A request.. Can you show a book on finite.numbers, that will also be relatable to statistical mathematics
    2
  30010. What a book. Yeah I'm loving the cover but also the layout and topics. No Solutions to problems eh? No leash then. Just a little more wax For us barnies wishing to touch those glorious 18 footers Bruh...no posers
    2
  30011. this is so helpful, thank you so much Sir :)
    2
  30012. Wow🤩. I saw this book in our college library back before the pandemic, but never tried reading through🤦‍♂️. What a fool I was!
    2
  30013. Great sr
    2
  30014. So much helpful! Thanks a lot!
    2
  30015. Thanks a lot.
    2
  30016. Very motivating!
    2
  30017. perfect opinion
    2
  30018. Thank you so much for this proof that's exactly what i was looking for ☺️
    2
  30019. Breaking the balance, aligns with balance. If we want to achieve balance in all things, doesn't that imply that we need to balance balance as well. Balance it with imbalance in the way you suggest.
    2
  30020. Can I call myself your number 1 fan
    2
  30021. to nem ai mermao
    2
  30022. You look like newton
    2
  30023. Thank you very very much for this..you save me🥰
    2
  30024. Math 55 in Harvard is fun
    2
  30025. How tall are you?
    2
  30026.  @TheMathSorcerer  I have a question about Trigonometry and the unit circle. If you can find what belongs on the unit circle on the computer or in a library book what is the justification teachers use for asking the students to memorize the unit circle?
    2
  30027.  @TheMathSorcerer  please do a video where you do a review and overview of the unit circle and please show your teachnique for memorizing quadruent one of the unit circle.
    2
  30028. I was just gonna go through your old book reviews to find some new books to buy. Talk about perfect timing. Thanks!
    2
  30029. crazy stuff
    2
  30030. Go for a walk really makes difference. Walk, and if you can, explain to yourself what you understood. Have this time if you have a chance. It's a bit strange talk alone, but you are already strange for study math 😅👍
    2
  30031. This is an “a-ha moment” for most of us. The problem of “getting easily offended” is the plague of the modern world.
    2
  30032. This is more difficult part of mathematics for me.
    2
  30033. That was awesome
    2
  30034. Could you please tell me what I need to know before going to Calculus 1? I mean, the main previous knowledge =)
    2
  30035. Also, do I need to study Precalculus first?
    2
  30036. thank you
    2
  30037. This is a very good video. Thank you
    2
  30038. search neoteny intelligence
    2
  30039. Give us more books like the statistics by weiss in other subjects..
    2
  30040. goated
    2
  30041. AMAZIN
    2
  30042. 12 to 18 credit hours and plus working full time swing shifts of over 40 hours a week as a teenager in college. Reversed Engineering at n×years later. Accomplished curiosity that's familiar.
    2
  30043. I've found if you have enough pre-calculus (for example), a good textbook is in essence- a good teacher. Suffice to say "Thomas and Finney Calculus 10th" was the most impressive book I've ever been aquainted with. You have to labour the exercises and go over any misunderstandings, otherwise there's no point.
    2
  30044. I am from Iran and Maryam Mirzakhani studied in same high school as i have studied.. and sometimes some profs knew her closely and they talk about her memories.. it does feel good =)
    2
  30045. 5:16 sheeeeesh i had to say it sry
    2
  30046. I have never seen anyone with eye colors like that. ..
    2
  30047. you should do more of these types of videoes!
    2
  30048. lol literally one of the questions in my assignment cheers bruv
    2
  30049. Yours english, the way you talking, everything clear and understand, make me i ii watching all yours wideo to learn english. Thanks for that english.
    2
  30050. thank you!!!
    2
  30051. Wait, people don't do this 😅. I've been telling my friends for years: go fast through the test (if you can't, study to go fast), and then review your answers at the end.
    2
  30052. Thanks ❤
    2
  30053.  @mark.slater  Thank you! I will start soon, much love <3 (Also to The math sorcerer, cannot @ though!)
    2
  30054. Thank you man! Great video!
    2
  30055. If you do not mind, I would like to know the camera you use.
    2
  30056. Smart people fail because they are not as smart as they think
    2
  30057. Thank you so much ❤
    2
  30058. Do you recommend starting math over to someone who graduated from engineering school a few years ago and doesn't remember much math, other than basic linear equations, 2nd and 3rd order polynomials and basic derivatives and integrals, because the work they do is more high level qualitative and not so much qualitative analysis? I made it through calc 1,2, and 3, differential equations, linear algebra and mathematical statistics, but I feel that I didn't really learn math - I just learned how to pass the tests. I feel that was my entire college experience, since I had to work and go to school at the same time - it took me 9 years to get my BSEE degree. Since my classes were so spread out, I feel that I struggled to tie the courses together.
    2
  30059. thanks
    2
  30060. Is he Sir Isaac Newton???
    2
  30061. thanks for this video math is really hard for me and this video really helps
    2
  30062. Time management, consistency, exposure/commitment, high quality practice & attention.
    2
  30063. Thanks man’s 👌
    2
  30064. Helpful ❤
    2
  30065. Thanks man 👍👍👍
    2
  30066. You brought very old memories. I still have the C book
    2
  30067. They started integration chapter today & seeing the thumbnail already terrifies me
    2
  30068. Abstract thinking like Picasso.
    2
  30069. Some teachers are just writers..they just write and move on..student thinks they are getting taught where in fact there is no teaching or teacher done here.. Just take a personal tutor and there is a full circle change in how fast you learn.. If you are a teacher and taking money for it..just teach and not be a writer.. Writer should also a profession in school and colleges so that conning doesn't happen..
    2
  30070. I collected all kinds of books, including math books, most of which I read. I was, in my younger years, a voracious reader. To make room for new ones, I gave many to libraries, one of which was in the Philippines.
    2
  30071. Very good!!!! This was exactly my problem when I was at high school!!!!!
    2
  30072. So Math Sorcerer and people, is obsession cultivated? I am trying to become an artist and the grind is real!
    2
  30073. Proving a sequence converges? More like "Phenomenal video with great information for us!"
    2
  30074. This just brought back memories of my Differential Equations and Linear Algebra class. Fun times.
    2
  30075. I’m a senior this year and I’m considering graduate school but I’m so nervous that I wouldn’t be able to handle the load :(
    2
  30076. My daughter will a sophomore at Texas Lutheran University. She breezed through calc 1 as a freshman. I hope calc 2 and calc 3 will be easy for her as well WHILE majoring in biology.
    2
  30077. It has to be little clearer in your presentation. People who teach arealwats great in first few steps in problem and then jump to step thirthy three and lose every body!!!!
    2
  30078.  @TheMathSorcerer  I saw a couple of your book review videos on Amazon while looking for abstract algebra books. That is a great way to help people decide which book to buy. I hope you get lots of subs from it.
    2
  30079. 🇱🇰
    2
  30080.  @mokamoka9048  Yeah
    2
  30081. Wow, I agree. I still have this book in my collection of software language books from the past. Thanks for the video.
    2
  30082. Sorry Professor, can you make a short vid on how many hours a day you study math undergrade , grad student , as well as how many you study as a Professor
    2
  30083. nightmare lol
    2
  30084. I have the current version 7, I paid $75 used and it's a loose leaf edition with super thin paper that tears easily. They do make a hard back version but it is over $200 new and I could only find 1 used on fleabay for around $150. I bought this book for my College Algebra course which I had to drop in the first week :( I let my math skills decay over spring and summer and the course was an online course. I got left in the dust almost immediately. (⁠ ⁠⚈̥̥̥̥̥́⁠⌢⁠⚈̥̥̥̥̥̀⁠)
    2
  30085. Are all Genii creepy, then - just asking?
    2
  30086. I heard that Donald E. Knuth loves this book.
    2
  30087. I'm confused and I don't care. This is fun to watch
    2
  30088. On a very irrelevant note, U could've done Law, u have the perfect hair for it
    2
  30089. Thanks :-)
    2
  30090. Agree. This is a clear, thorough book. Amazing it is available to download for free.
    2
  30091. Oh yeah ....they matter...
    2
  30092. just derive the squarerootening to avoid the fuckeneng
    2
  30093. I'm mid eastern and I think American students are very smart atleast the ones I've seen. I think the biggest reason for why international students are successful is because of discipline. Generally, non-american households are far stricter about education than american. I remember growing up, the teachers used to beat us with big sticks, even smack and slap us for poor grades and specially mis behavior. In a way, they've implanted disciplinary in our souls, therefore it's partially innate.
    2
  30094. This video helps me alot! thank you! hopefully you make more videos related to this!
    2
  30095. What do you think about Thomas Calculus?
    2
  30096. Cuz the solution of m²=-1 So m = alpha +i*beta And m=-i or m=i Alpha = 0
    2
  30097. I love this guy. I think I’ll subscribe.
    2
  30098. This got recommended to me while I have a math requirement due since friday and its monday tomorrow and I still haven't done it 😭 I'm actually an art student
    2
  30099. Good morning sir ji
    2
  30100. Bro ur books is more than in my school library and college u have ample number of mathematics books ... Please tell me where I can find best books to learn Laplace transformation and induction principles thank u ......
    2
  30101.  @TheMathSorcerer  big thanks to you
    2
  30102. These videos get really creepy. I hope you are doing ok, you almost didn't blink the first few sentences.
    2
  30103. Well , in my country we begin learning Claculus in 10-th grade , and I think that math in my country is at very high level(not the highest,but it is enough) because of the USSR's system of education
    2
  30104. Quadruple integral: Space time continuum! Love it!
    2
  30105. jeff bezos
    2
  30106. Dover has this book for a very little money. I love the book.
    2
  30107. Thanks
    2
  30108. dunno if anyone else mentioned this but "legendre" is pronounced "luh-gahn-druh" where gahn is a soft g. not "legendaire"
    2
  30109. For math success you need good and motivating parents, an educational background from your parents, and good mental health. Attitude? By my opinion is the last thing you need and I am speaking from experience. If you don't come from the first two you are in deep trouble. If you don't have good mental health then you are in very deep trouble. As always, it is important to make a mental test battery before you embark in math education.
    2
  30110. thank you infinitely for this advice.
    2
  30111. I actually had the same thought but then I thought let's give the video a chance and now I think my first thought was better 😅😁🙂
    2
  30112. Only death can stop you from learning. But if you stop learning, you start dying.
    2
  30113. Proofs was my fav course in college. Like doing fun puzzles for homework instead of proving I could repeat the same trick 30 times.
    2
  30114. You are what you think about…. “fear leads to anger … anger leads to hate … hate leads to suffering…” .Yoda.
    2
  30115. What an elegant proof!
    2
  30116. Well,now I feel less bad for being confused when reading math. Imma start using that quote.
    2
  30117. only psychopaths NEVER BLINK
    2
  30118. LMAO
    2
  30119. Do lots of practice questions that’s the easiest way
    2
  30120. great explanation
    2
  30121. This was a really good video. Thank you for uploading this! Really helped my dilemma.
    2
  30122. I feel like the problem for me is trying to find the answer the searching instead of just doing something
    2
  30123. Wow
    2
  30124. I always think that my optimism got me to pass more than my hard work and hours of studying on end. Great Video😁
    2
  30125. Thanks for the review. Excellent text, multiple newer editions of this text are available. Most recent edition is 10th. I have an 8th edition text, 2009.
    2
  30126. You got me out of a tight spot, thank you so much. Have a blessed day! :)
    2
  30127. So helpful, thank you so much!!
    2
  30128. Thank you 🙌😆
    2
  30129. 🔥👍🏻
    2
  30130. these videos are a blessing when trying to supplement my learning in an online college environment! my prof goes thru material so quickly and this helped solidify the concepts well. thank you!!
    2
  30131. He looks, like he is a deepfake of Jeff Bezos
    2
  30132. Never heard of it. Sounds intriguing.
    2
  30133. Please teach all my classes math sorcerer
    2
  30134. It's a weirdest thing that I mentally set the ratios to k too. I guess there is some naming convention going on that I don't consciously know of.
    2
  30135.  @TheMathSorcerer  one year, the day before the midterm, my professor was going through the proofs of both the inverse and implicit function theorem. It took an hour. People were confused about the details of the proofs. Anyways, the prof told the class to look at the textbook from the lower division advanced calculus class which is just vector calculus. He told the class to learn how to do computation with the inverse and implicit functions theorems ourselves because it would be a good idea to know it for our test. Basically the calculus on manifolds course, a lot of it had to be sacrificed such as getting good at computations. Same thing in our first year linear algebra course. Our professors told us to look at Schaum's outline if we want to see examples or computations. The course will focus all on theory.
    2
  30136.  @TheMathSorcerer  how about i message you via your website. The topic will have a heading along the lines of: "conversation continuing from youtube comments". I don't mind telling you about myself, but i prefer to it to remain private. :)
    2
  30137. how would the inductive step work with induction ?
    2
  30138. U look like liebniz
    2
  30139. Who prints a exercise book without solutions...
    2
  30140. Lol
    2
  30141. ❤
    2
  30142. Do you like physics or chemistry math sorcerer?
    2
  30143. THERE IS AN END TO MATH???????? WHERE IS IT?? WHERE DO I FIND IT??????
    2
  30144. Thanks for the tip again about reading the appendices at the back of the book.
    2
  30145. what if i'm broke? ion think i can buy all these books. lmao
    2
  30146. Okay, you mention "when I was a computer science student". Can you please respond and elaborate. I'm currently a CSC major taking calc II as well and I'm getting less certain if CSC is it for me.
    2
  30147. First
    2
  30148. This is the best video for this time of the year
    2
  30149. Sir looks like sir ISAC NEWTON
    2
  30150. I think modern books are way better, especially with colours and diagrams. My favourite is, Calculus: Early Transcendentals. Author – James Stewart. 🤷
    2
  30151. SO grateful to you for your explanations ... (really helpful to me, since my uni lecturer and tutor can hardly speak a word of English! ... Ugh!) ... THANK YOU!
    2
  30152. Sir u r amazing .One of the best foreign maths youtubers.
    2
  30153. Sir I am 22 years old I am bad at arithmetic can in study advanced math now
    2
  30154. Pc Load letter downloaded completely till now??
    2
  30155. Very Useful Video.
    2
  30156. do you have any "not good" book? :)
    2
  30157. I...hate how much of this I understood. I learned Calc under protest, and every one of these bits is 100% accurate.
    2
  30158. Merry Christmas sir 🎄
    2
  30159.  @TheMathSorcerer  Really really really thank you.
    2
  30160. Love this new setup. Really makes you look like a sorcerer!
    2
  30161. I'm a uni maths student in the UK and it's frustrating cause all the maths we do is theory and we have to prove things all the time I want to just do calculations and say what it means 😭
    2
  30162. I’m taking discrete math next semester and am using the Rosen book for that course would this be a better resource to supplement into my instruction? Just found your channel last night and have been enjoying it
    2
  30163. Thanks a lot good version of Jeff Bezos!
    2
  30164. I wish that I had you as my math teacher. You seem to have such a solid grasp on both math and some really important principles of life! You also remind me of my favorite teacher ever and how she could inspire you to be a better person alongside helping you learn new things well.
    2
  30165. “We can just get rid of the square root” My chest hurts holy cannoli
    2
  30166. it comes down to expanding our math toolkit. But we humans are born math creatures. math is considered a form of language. I say also that language is then a form of mathematics, infinite and extremely robust set of { complex ,symbolic, dynamic elements }.endless nuances. We are born math creatures. when preparing to slow down before a red-light or throwing a ball to a friend, we calculate intuitively for accuracy. And that is lightning fast, in real time. Gamer, golfer, dancer, all using math on the fly. All working hard to get better at what they love. I think the we get good at the things that we are drawn to. the cycle of achievement: counting tiny successes and, the value of time spent We tend to spend more time at the things we like, and, we tend to like spending time doing the things we are good at. My wife laughs when I get a new math book, she says my expression is as if I were opening a bag of money. might as well be, because I spend all my money on new math books.
    2
  30167. Try meditation
    2
  30168. "You don't have to be great to start, but you have to start to be great." — Zig Ziglar
    2
  30169. I have the 6e of this book. It’s pretty good.
    2
  30170. My proofs books have not arrived yet, I check my P.O box everyday should be any day now!
    2
  30171. Very nice
    2
  30172. I'm a warlock lmao. (because I'm an undergrad on the path to wizardhood)
    2
  30173. Should I choose business or economics, both are pretty similar though and my future goal of becoming an investment banker remains the same with either of them
    2
  30174. This is good tip in general. I'm doing a fast right now, so far I'm at 31hrs, if I can do 31, I can do 32, if I can do 32 I can do 33. Awesome inspiration as allways.
    2
  30175. Do the books mentioned in this video also include solutions to their problems and exercises?
    2
  30176. I needed to hear this ! 💯
    2
  30177. I'm a part time applied math undergraduate, I work fulltime as a mechanic, and lift 5 days a week. I wanna be the math socerer.
    2
  30178.  @TheMathSorcerer  Thanks. That is the book I bought, after a ton of research, for the very purpose of getting into Mathematics (in my 30s).
    2
  30179. thanks
    2
  30180. Well to me math is more than just a subject it's a hobby ( I love doing math), personally math has helped me overcome my circumstances ( I'm from South Africa, Cape Town) when most of the children was becoming involved with gangsterism, drugs, etc. Yes, every day I'm busy with math even in language class😅 you would find that the other side of my language book is completely filled with differential calculus. Yes, so the more experience doing something(x) = the better you can do that something(x). ✋
    2
  30181. am i the only one understanding the teachers
    2
  30182. The Math Sorcerer, I am addicted to learning.
    2
  30183. Just ordered a paperback of it on Amazon.
    2
  30184. making people smarter one view at a time :)
    2
  30185. Sorry but I tend to disagree with you on this. I think students are finding excuses due to their lack of ability to understand many hard topics in math by casting the blame on teachers’ less than perfect ability to speak English fluently. This is why US schools are failing students badly, they tend to spoon feed their students and in some ways create easy paths for students to get A grade via discussion, attendance, etc. this is a contrast approach in the UK, where many Unis encourage their students to be independent researchers and making sure that they are well trained to tackle real world problems when they graduate. I am sorry but i find your story about your friend getting paid less because he has an accent is so ridiculous. If i were him, I would sue the school.
    2
  30186. In older books the paper is yellowish brown. Should it come in contact with moisture it lives. You can see the fibers of the paper cloth. New books pages are coated with a white paste. Contact with moisture will stick everything for good.
    2
  30187. Basically my Cal classes in a nut 🐚😅😂
    2
  30188. Thank you, kind sir.
    2
  30189. Thanks for this video. I needed to hear this, I've been learning c# for 6 months and recently over the last month I've been having a lot of regret and feeling lazy because I haven't been making the consistent effort I was for the last 6 months. i was trying to cram and study for at least 1-2 hours daily and have been a bit burned out. However perspective is everything and breaks are okay.
    2
  30190. |Iceland| < |MathSorcerer| Thanks a lot for your work ❤️
    2
  30191. elsgolts great book
    2
  30192. I thought Dugundgi's Topology was beautiful.
    2
  30193. my dad (doesn't know pemdas) expressed a desire to learn math so i think i'm gonna try to drag him through it! (plus, i'll pick up a lot on the way. i've always wanted to learn discrete)
    2
  30194. What an amazing guy. ❤
    2
  30195. Don't forget to do some exercise to counter all that time sitting doing maths mate, cheers.
    2
  30196. i guess he's struggling to learn how to use a comb
    2
  30197. There is never such thing as too old to do anything in life. I’m 39 going on 40 years old this year.
    2
  30198.  @DragonYeng  Advanced Placement some people call it 'Honors'
    2
  30199. Ah, the joys of categorization!
    2
  30200. Wow... Those Mir books are amazing ❤️ ❤️ ❤️ 😍😍😍
    2
  30201.  @TheMathSorcerer  not just time. A mathematician is a human being after all, and like all human beings, he too has various needs like emotional, financial, environmental, which too may be lacking. A lot of these needs can be bought with money, but if that itself is lacking and the cost of living shooting up high, no matter how much ample amount of time you have, doing maths may seem to be difficult.
    2
  30202. Absolute legend
    2
  30203. Fave lesson Sorcerer benched his bookcase after MIT lines whiffed
    2
  30204. thanks
    2
  30205. Love it...ThanX :trophy-yellow-smiling:
    2
  30206. Wow You are ngl the best teacher ive ever seen so far
    2
  30207. Man I love you! I fucking love teaching too dude, but I do language teaching and there's serious inneficiencies with how we teach language. I will eventually have to let go of teaching to develop my own teaching paradigm. You gotta choose between thigns you love sometimes too, and they might not be exactly compatible ):
    2
  30208. Great video, you made several videos on Topology but didn't make any on Differential Topology yet. Please make a video on DT
    2
  30209. Very nice sir thank you very much 😄✋✋👌👌👌👌
    2
  30210. I actually love taking my vectors to the beach
    2
  30211. This is happening to me now with a class—- really hard to take—-
    2
  30212. Asked for two math puzzle books for christmas. Got both of them, and you need some type of degree to understand them. Super nice to be able to apply what I have learned for fun!
    2
  30213. hah, this year I’ll finish my masters in theoretical physics and through all this six years, whatever semester it was, whatever subject I took, I always wanted to study something else, our brains work kinda funny from this point 🙃
    2
  30214. I watched this video in 2× speed .
    2
  30215. Can you make this for algebra and geometry?
    2
  30216.  @TheMathSorcerer  yes sir
    2
  30217. You should do a live stream while playing
    2
  30218.  @TheMathSorcerer  I think it could be really cool! :)
    2
  30219. hi i am from the future almost 4 years i just started calculus 2 and its beatining the life out of me and this is what i need it to keep going. THANK YOU.
    2
  30220. What an honest response, thanks for showing us these great books. Can you please continue to solve example problems from these books.
    2
  30221. Man this struck a chord with me
    2
  30222. This notion of not giving up and continuing to try may sound cliché but absolutely true. I remember when I first learned composite functions and being given a problem and being asked something like find f(g(1/x^3)) and struggling for so long. After a few hours and multiple notebook pages of problems it finally clicked and now it's something I consider myself to be pretty good at. :) Keep trying everyone, it may not click at first but when it does it's one of the best feelings ever!
    2
  30223. The Coronavirus was created by a cult of mathematicians who worship the all powerful God Leonhard Euler.
    2
  30224. Is this part of the differential equations playlist?
    2
  30225. Thank you for your insight! My learning journey feels less lonely, somewhat, after reading this..
    2
  30226. you have inspired me sir, thank you. God Bless!
    2
  30227. Thank you so much!
    2
  30228. 1 Go for walk get some free air 2 do what you want to do difference 3 the more you study mathes
    2
  30229. I can't unsee the chip in the horses mane
    2
  30230. That bird distracted me the whole video ☹🧚‍♂️
    2
  30231. Me watching this at 2x speed,😎
    2
  30232.  @TheMathSorcerer  For real:) Writing math tests is work, taking them is just pure joy to me:)
    2
  30233. Keren
    2
  30234. why did i click on this, i understand nothing
    2
  30235. Damn holy shit , a league player watching another league player 😅 in another way 😮
    2
  30236. I love this.
    2
  30237. Thank you very good video.
    2
  30238. Thank you Sir as always!
    2
  30239. Based on your appearance I thought this video would be about fitness advice. Haha
    2
  30240. I tried Physics at university but failed because I did not have the appropriate background in maths :( I thought I could learn the things that I needed ( like calculus and Linear Algebra) fast enough by the end of the first semester of that year but now, a year later I couldn’t stay there because of my miserable grades and I still struggle with math :( I really don’t know what to do anymore this is depressing
    2
  30241. I am 71 years old. Some people do crossword puzzles for entertainment and that is fine, but I like studying math and working out math problems. So much more rewarding to me.
    2
  30242. Hey, do you still play guitar?
    2
  30243. let f: X → Y, T ⊆ Y can you prove that these following 3 statements are equivalent: i) f is surjective , ii) f(f^-1(T))=T for all T ⊆ Y , iii) f(f^-1(Y))=Y . Thanks!
    2
  30244. You are amazing ❤❤❤❤
    2
  30245. I'm starting a math channel soon and I would like to say you are a great inspiration sir.
    2
  30246. Merry Christmas! Congrats on the book; just put my order in! 😊
    2
  30247. I remembered only sin and cos values for Q1 of unit circle. It was enough to derive all other values for all trig functions quickly when needed.
    2
  30248. It really isn't a math class, it's mechanical engineering (with the first question a spherical trigonometry question for navigation). When I took some beginning engineering classes at a real engineering school in the late sixties, these were the kinds of exams questions we were given. There were no calculators, only slide rules. The slide rules had the equivalent of the log/trig tables.
    2
  30249. It disturbs me how much he looks like jeff bezos
    2
  30250. 🗿
    2
  30251. I feel that your college major should be based on your interests, your strengths, and what you value in life
    2
  30252. Thanks for the recommendation. This book has been great so far!
    2
  30253. My school has a weird math curriculum. It goes from functions, advanced functions, to calculus and vectors
    2
  30254. that green book is very expensive
    2
  30255. IQ is a bullshit concept, its like if I attempted 5 times mensa IQ , I know what to do , the patterns have tricks in it and I will score 20 more IQ if , I practiced it over a year , it can't be constant , some have naturally baseline IQ , but the maximas can be reached by anyone with constant efforts , IQ isnt constant its a function of your hardwork and interest
    2
  30256. I really love all your videos that's why i still constantly watching your whole videos. Moreover how to easily navigate learn in English and to boost our brain and mind. I need more tips or techniques to stimulate my brain to make high intelligence quotient (IQ) and their skills.
    2
  30257. You're awesome mate thanks for your video
    2
  30258. I think i need this. I cant even get a proper area for a parabola!!!! Some yt vid says diff formula and another says different !
    2
  30259. I have always heard India has the best tea in the world. Rananujan was Indian. Need I even write QED?
    2
  30260. ay I got this book, I used this book to get good at trig substitution. I also learnt basic multivariable calculus from one of his books.
    2
  30261. where did you usually find these books?
    2
  30262.  @TheMathSorcerer  thank you so much!
    2
  30263. Very pretty proof!
    2
  30264. Thank you, man
    2
  30265. I love substitution based proofs like these for number theory problems. They feel very "organic" for some reason. Keep em' coming Professor, thank you! This question in particularly is lovely because of the use of the pronic identity x(x+1). Now that we know that this identity produces exclusively even integral results for all integral x, then we may set the RHS equal to 2k without any restrictions on our range. Solving for k now yields the equation for triangular numbers, T = 2 | x(x+1) = (x^2+x)/2. Perhaps there is not a set which I love more than the triangle numbers.
    2
  30266. we have a cryptography class where we have to sign an NDA to take the class! I would like to go through your books. I have recently been looking for a way to get more modern books to add to my collection, since I am in a STEM field. The price always drives me away.
    2
  30267. I have a final exam within a week from now and I cannot stop watching your videos
    2
  30268. Im washing the dishes while. I'm listening this :)
    2
  30269. One thing that helps me for math hw motivation: I read about the mathematician who discovered or first thought of the work. They were often really inspiring people. It’s almost like getting to study the actual notes of a famous mathematician.
    2
  30270. If you're integrating backwards you need to negate it, so you're wrong professor.
    2
  30271. so happy for you
    2
  30272. Thank you for this video. I was just getting into this mindset of "I will never get it, I'm too stupid..." Really, thanks.
    2
  30273. Umm why am I seeing a math class at 3 am late in the night when I don’t even see math class in the whole day
    2
  30274. I thought it says you shouldnt read this :) but i already read it many years ago. The syntax at the end is the most important part of that book:)
    2
  30275. What advice would you give to someone who cares a lot about their test scores?
    2
  30276. Is its better than Howard anton calculus book??
    2
  30277. Thanks bro
    2
  30278.  @TheMathSorcerer  have you taken a look at “How to prove it: A structured approach” by Velleman? If not, I highly recommend it! Especially the newest edition since it has great introductory chapters to number theory and algebra. It’s great for both beginners and the experienced. However, you can’t really beat the “what’s wrong with this proof?” Type questions from “Transition to Advanced Mathematics”.
    2
  30279. I want to learn differential equation and complex analysis. Would you suggest me some good books for beginners level
    2
  30280. Brief and to the point as usual! Salute!!!
    2
  30281. Could we get this book here in Morocco
    2
  30282. quite difficult in today's rowdy social media era of bombardments from tiktoks, instagrams, twitter, whatsapps, facebooks, emails, etc
    2
  30283. Let's go math light novel chronological order
    2
  30284. This resonated big, thank you
    2
  30285. Friedberg Linear Algebra in the back!
    2
  30286. differential equations sure, I found vector calculus to be a lot harder. PDEs are another story lol
    2
  30287. Yoo
    2
  30288. Simple. Book. Pencil. Paper - lots and lots of paper 😀
    2
  30289. I needed this, thanks alot
    2
  30290. Thank you!
    2
  30291. Helped me alot
    2
  30292. why did i just order this book on Amazon after watching this vid? im not even studying math
    2
  30293. Structure and interpretation of computer programs!!!!
    2
  30294. Just ordered it, its always nice for practice AND it's only $10! (no, not the factorial function)
    2
  30295. Hi from Brazil, after this, I realised I'm also a "leitholdist" in my solving strategics
    2
  30296. thank you
    2
  30297. So, I'm highschooler looking for some material to learn more advanced math topics. Would I be able to understand this book properly, if I work hard enough?
    2
  30298.  @TheMathSorcerer  Well, I've had some experience with calculus and a little bit with writing proofs, but I'm up for a challenge! Thanks for the answer
    2
  30299. Gotta love that used book smell ;-)
    2
  30300. What i would argue is the problem that usually math teachers are really good at math meaning what they try to explain their students is so easy for them that they have a hard time explaining it and thus i would imagine sombody less gifted in math would probably make for a better teacher. I remember my math teacher in university could write with both hand simultansly two rows on the chalk board at the same time and was a genius. Either you understood what he wanted to explain to you or you did not understand it cause his explanations certainly were not helping.
    2
  30301. Thank you for sharing! What do you consider the most important characteristics from a non-textbook on math?
    2
  30302. Shabbat Shalom I hope you all have a rejuvenating Sabbath and weekend. I love you all!
    2
  30303. This guy is a classic example of the bias self centerness of the techie, engineering, math firld. With his first statement of math takes a lot of work and all the pages to do. All fields take a lot of work to master. Try being a gymnast, or a chef, or a writer. Also the amount of pages doesnt mean much. Or else librarians would have the most pages.
    2
  30304. This is absolutely based
    2
  30305. noo don't give up math ur so sexy ahaa in all seriousness tho listen to the sorcerer
    2
  30306. Thanks for the multiple daily posts. My favorite current Youtube channel.
    2
  30307. Good morning sir ji
    2
  30308. Nice
    2
  30309. It can be hard in the US as well. We just have a lot more students and school districts that don’t value mathematics like in other countries. For instance, my high school in Compton, California focused more in the Basketball and football programs more than in the equity of teaching and learning mathematics.
    2
  30310. Loved It!
    2
  30311. Very wise tutorial, Arithmetic Archmage.
    2
  30312. Thnx
    2
  30313. Being nerdy is a virtue not a vice :) (In my opinion.)
    2
  30314. 👍
    2
  30315. awesome demo!
    2
  30316. Great information
    2
  30317. You are the best
    2
  30318. It's funny you say Stewart is the most widely used Calculus book, because I have had to retake Calculus several times and all but once I used Larson... Anton and Bivens is the only other one I've ever used.
    2
  30319. I'm doing this right now with Mathematics for the Millions by Lancelot Hogben.
    2
  30320. I love how you pronounce variable 'a' as "ace", very nice! Recursion is truly a very interesting concept, I love how you are building up our concept on Recursion slowly! Thank you sir
    2
  30321. what time in the morning do you film these videos? lol
    2
  30322. Right, I had a real question. Do you ever recommend listening to music. I haven't watched many videos of yours so guessing you probably covered it six times.
    2
  30323. "If you really want to be ready, just do every problem in the book" that hit home
    2
  30324. Very good! Thanks for advice on a starting point.
    2
  30325. I needed this message today. Thank you.
    2
  30326. Grothendieck used to study late in the night till dawn
    2
  30327. Thank you so much. I am a big fan of your work... salute!!!
    2
  30328. No idea how this ended up in my recommended for today, but this is amazing. I've been wanting to try self teaching myself math from the relative basics! Calculus was terrible experience in college for me.
    2
  30329. I can tell you math in new Zealand is so easy and native
    2
  30330. Discrete math ... Not spending enough time learning it will remain my greatest regret in life.
    2
  30331. I only know calc 1. Can i learn linear algebra?? I wanna study it
    2
  30332. Nice!!!
    2
  30333. 100% agree
    2
  30334. Thanks a lot, youre awsome for everything you do, Ive been watching you for a while now, and youve made me love math.
    2
  30335. The thumbnail photo is so accurate
    2
  30336. Thanks dude helps a lot i need a recap of what i studied in school and your video is perfect short and informative
    2
  30337. Third one ❤️❤️
    2
  30338. Right on money
    2
  30339. What if I had the indefinite integral of exponential function times cosine or sine function? The terms would be then infinite in tabular, so can I still solve it by tabular integration?
    2
  30340. Needed to hear this.... First semester and we have to learn Real Analysis and my professors presentations don't cut it.... Your vids help a lot tho :)
    2
  30341. My experience: Trying to learn new math concepts is hard a short time but it just takes me to learn it and understand it. It has been like this all my life. And now adays i have confidence which i also believe makes me learn. I learn quicker Than others.
    2
  30342. I am just here for the birdie ... pretty bird 😍
    2
  30343. Yes, yes yes YES!!!!
    2
  30344. your hair looks electrocuted man
    2
  30345. Jeff Bezos is more powerful than terence tao.
    2
  30346. And the homework is... good to do. I love that
    2
  30347. This was a really honest video, thank you.
    2
  30348. just recently finished that pde text. was very good and i can vouch for some misprints in the solutions
    2
  30349. Lmao
    2
  30350. Do you have a video on how to decide if a math major is for you or not? Maybe if you dislike a certain course then you should avoid majoring in math or something like that?
    2
  30351. Is there any reason you would recommend starting with Pre-Algebra versus starting with Discrete Math? Or can you jump in to either depending on interest? Discrete math is relevant to my career (software engineer), but I'm wondering if either path serves as a better foundation for the other.
    2
  30352. thanks a lot. That is what I needed
    2
  30353. 100000 subcribers!!! congrats
    2
  30354. THANK YOU AGAIN .. . I am not an engineer, and I did study Algebra and Calculus 1 back in college. I want to learn optimization and statistical process control. So, I began to study mathematics some time ago in my free time. I am currently learning derivatives and related rates of change. One thing I have learned is that there is a very thin line when studying mathematics. One runs the risk of just using formulas as cooking recipes. Hence, I began to study the formula itself - what it means, how it came into existence, ie., the derivation of the formula. It has taken me 3 weeks to understand the limit definition applied to differentiation - the feeling is one of security. One has to take the time to reflect on the subject matter. I have been watching your videos, they are AWESOME - EXCELLENT advice. Thank you, very much appreciated. GOD bless you and yours always. By the way, I am glad to know that math books have to read slowly. It was obvious to me but I thought it was because I am not a mathematician. Carlos from Monterrey, NL, Mexico.
    2
  30355. Could you hurry up please. I have research to do. :-P
    2
  30356. Thank you very much Sir
    2
  30357. good evening, on examples of where we can use this method you said no to 1/x + sec(x) function, even if we write sec(x) as 1/cos(x) and move it to numerator would that be still a no since it is on denominator?
    2
  30358.  @TheMathSorcerer  Thank you.
    2
  30359. Hey Sorcerer, I have a request to make. So, I am going to take a course on Metric Spaces and my college has prescribed the book : Metric Spaces by Satish Shirali and Harkrishan L. Vasudeva. Could you please review the book for me. I am attaching a download link to the book's pdf: https://www.google.com/url?sa=t&source=web&rct=j&url=http://www.dim.uchile.cl/~chermosilla/CVV/Metric%2520Spaces%2520-%2520Vasudeva.pdf&ved=2ahUKEwixvJD0laztAhVV7HMBHVBVD9AQFjAOegQIFhAB&usg=AOvVaw16hdudPBjRdsujXkFAreA-&cshid=1606804948323 Please consider.
    2
  30360. I have also wondered if thinking burns calories, because I also get very hungry after doing a lot of math. Dried fruit is a good snack, a couple pieces on your break will keep you full until the next meal.
    2
  30361. why is -32 = 32e^ipi ?
    2
  30362. Thank you ❤
    2
  30363. Look up mathematical symbols in code
    2
  30364. woha, i wish i had this library in my house.
    2
  30365. That little picture with the owner's name reminds me of one I've seen that I liked. It showed a black-hooded executioner with a gallows in the background, holding up a book in one hand, and a noose, in the other. The caption read, "This book is one thing, this rope, another. He that stealeth the one, may be sure of the other."
    2
  30366. Unique proof of what? Lol
    2
  30367. He meant, "The Limit of a Sequence is Unique, Proof." hhe. :)
    2
  30368. The stamp of the book in question is Sichuan university, department of computer science. It doesn't mean it was reprinted by Sichuan university. I suspect it was a book in the library from an unknown reprint with or without permission.
    2
  30369. Thank you very much, helped a lot.
    2
  30370. these videos have been uploaded at the perfect time. I'm taking my DE course and you make the solving process look easy and straightforward
    2
  30371. cool bro
    2
  30372. 10 PERCENT PENALTY FOR LATE ASSIGNMENTS AM I IN HEAVEN?
    2
  30373. Here I am 4 days before my exam
    2
  30374. Fourier Analysis , Functional Analysis , Multivariable Calculus and Advanced Complex Analysis
    2
  30375. Live life to the full.
    2
  30376. This is awesome! I found it in PDF. It's going on the short list. Thanks!
    2
  30377. This is my favorite video ever.
    2
  30378.  @tulabutt  I feel for you! I wish more countries would give free education. I assume you live in the US?
    2
  30379.  @simonhallin8909  Yup. US, here. I have a friend studying in Germany at the moment so I've been envious of the university perks over in the EU, haha. Although I heard it's much more challenging to be accepted into uni in Europe.
    2
  30380.  @tulabutt  Well in most parts of EU you are only accepted based on your grades, personally I prefer it that way. Som unis require an essay of some sorts
    2
  30381.  @simonhallin8909  In the US is feels like everyone is pushed into going to university, despite your grades. There are so many schools, one is bound to accept you even if you underperformed academically. At worst, you simply go to community college, redo the coursework and then apply to university.
    2
  30382.  @tulabutt  I see! Yeah I get that feeling to from the US. I guess in Sweden it becomes more normal to go to university but we have great jobs and condistions for people who don't
    2
  30383.  @simonhallin8909  I feel schools here are still catching up to the needs of our job market. Unless you studied something in large demand (STEM, education, nursing) you essentially end up with a fancier high school diploma. Anyways, I hope you continue your studies! Mathematics is my favorite subject.
    2
  30384. Just bought it! thank you
    2
  30385. Cheating is bad specially in collegic academics because as a professional you are expected to understand your subject matter you are learning and apply it to the real world where it counts. If you cheat in the Academic level you are almost guaranteeing facing real life failure because your degree says you can computate these math formulas without reference aids and yet when you struggle in real life there isn't going to be that safety net - You'll have to really know your stuff. I am no Math Wiz by any means. It would be much more constructive for everyone if a Cheater followed a pursuit that came more naturally to them instead of trying to fake it until the make it, that benefits no one, at some point you'll have to learn.
    2
  30386. Merry Christmas
    2
  30387. What would be ur favourite ‘modern’ book/tutorial?
    2
  30388. Well all of your cousre is for secondary school student If u made more advanced course such as optimization Bayesian Statistics stochastic process I will definitely join your course whatever I will recommend your udemy course to my friend kids
    2
  30389. I am very interested in math because I want to learn about the wonders of Physics and Electronics!!!
    2
  30390. is it a new camera or better lighting?
    2
  30391. Thanks for the tips, I'm a graduating in the field of computer science and was looking for a good pathway into advanced mathematics. I believe Mathematical Proofs is a good start, this, along with functional programming, will give me the edge I need.
    2
  30392.  @TheMathSorcerer  I would love to watch a deep dive video into each subject, like hour long plus videos on each topic to give a more broad understanding of what we may expect and encounter from this or that field in specific. Seriously I would consume hours and hours if this content was available on your channel already, in particular mathematical proofs for obvious reasons.
    2
  30393. First
    2
  30394. Absolutely brilliant book
    2
  30395. I remember these being the last coupple problems on the exercise. I hated them so much because my brain would just freak out But once you understand that a radical can just be written as exponents it's easy!
    2
  30396. Thanks a lot
    2
  30397. good morning sir
    2
  30398. Hey math sorcerers! Does anyone have some book suggestions to dig deeper into the concept of infinity? I'd really like to understand, one day, the work did by Cantor himself. I would like to start with some undergraduate level books and work my way up. I'm currently reading "Infinity, Beyond the Beyond The Beyond" by Lillian R. Lieber and it's a gorgeous read i'd recommend to everyone.
    2
  30399. I missed your math content, Mathrandir! (get it?)
    2
  30400. Good message, thanks 😘
    2
  30401. Nice... but I have no clue what the strategy means.
    2
  30402. Please keep doing these. These videos are fascinating
    2
  30403. Wow that's an interesting story
    2
  30404. can you please recommend me a book for studying probablity, permutations and combinations. I know some basic things about permutations and combinations.
    2
  30405.  @TheMathSorcerer  I have the fifth edition of that! Definitely my favorite of the few math books I currently have.
    2
  30406. That was good
    2
  30407. Stop sniffing pleaze
    2
  30408. Taylor polynomials and maclaurin series and power series were very hard for me back in the day.
    2
  30409. I love this!
    2
  30410. I loved that book sniff
    2
  30411. niice
    2
  30412. How about a video on Series Solutions of Differential Equations ... thanks
    2
  30413.  @TheMathSorcerer  that makes sense. You look like a cool dude by the way, keep doing what you are doing
    2
  30414. do you mean 3 math classes and no other class whatsoever, or you meant 3 math classes and that is it for the semester? thanks for the great content
    2
  30415. It’s true…my drug is reading; history, religion, myth, science…and then I tie it all together in my brain and hopefully fire off some neurons.
    2
  30416. This book seems to be still in print by oxford, slightly different title. It’s like the springer classics series. The amazing thing of your edition is, that the type/font ist already so readable like a modern edited book.
    2
  30417. Lmao
    2
  30418. Thanks and I want to say something Nice shirt
    2
  30419. 05:35 MODULI!
    2
  30420. thank you so much this really helped :)
    2
  30421. but wait?! This is what we study mostly even before high school 😬 Indian education system is so competitive
    2
  30422. omg thank you for explaining so well! my professor is absolutely useless
    2
  30423. Do practice problems.
    2
  30424. a logical mind
    2
  30425. Very helpful
    2
  30426. Cept on the Math GRE grrr.. But agreed otherwise.
    2
  30427. Never drink alcohol the night before an exam. Know what? Never do!!
    2
  30428. thank you
    2
  30429. Math Sorcerer, even if your spelling is off, your spells are the best! Thanks:) 🐴
    2
  30430. Can you do too much math? Just look what happen to Grothendieck and Erodos.
    2
  30431. Well I just love doing math. When you look back at your understanding before doing the problem, when you realize that you have improved - that feeling makes me happy now matter how hard the problem may be.
    2
  30432. Just a minute into the video now. Will watch the whole thing. Not sure if you're going to mention Knuth's "Concrete Mathematics." I don't mean to correct you but the K in Knuth is not silent.
    2
  30433. Thank you sir.
    2
  30434. I love math since I was a kid it's still my favourite subject
    2
  30435. Absolutely inspiring💪💪💪. Thanks for your advice...
    2
  30436. Hi professor, do you think that the education system of a country should provide some mandatory courses for everyone that allow them to develop logical intuition, set theory intuition, and linguistic intuition? For instance, in those courses, the teacher will guide the students to manipulate concrete objects to develop the abstract ideas of "logic", “properties”, “sets”, etc. Moreover, the teacher will guide the students to develop their intuition to make connection between “symbols” and “perception” and to acknowledge how to extend “perception” to imagination (a conceivable idea). I think that not only those courses would help everyone in mathematics, but it will also help them developing a methodology that helps them interpreting other people’s ideas more clearly. It will also help them to read books more effectively and efficiently. Also, I think that such teaching will allow people to better understand what does “understand a concept” mean intuitively. Also, I think that a big issue that some people have is that they don't know how to relate symbols to some instances of perception; hence, they might know how to play around with those symbols, but they cannot conceive the contents behind those symbols. Anyways, I stumbled on this idea when I watched a video about Terence Tao in which he shares with us his experience with mathematics. Basically, Terence Tao said something like (let me paraphrase): “When I encounter a mathematical problem, I always try to find some “more” concrete cases to represent the abstract problems. For instance, I would look at it as an economics problem, etc.”. What he said pushed me to search in some philosophical books in which I’ve read someone (forgot the author) who said (paraphrase): “Any conscious being without any perceptive experience is incapable of developing an abstract idea (imagination) because perception is the only source that provides us the materials that we need to create all concepts via our natural reasoning.”. While I couldn't find any exact source and any valid scientific evidence to back up my idea, I think that I kind of make sense to a certain degree based on how I learn and how I develop abstract ideas. When I rethink about Terence's ideas and the ideas that I've extracted from those readings, I realize that I’ve been doing those processes in my subconsciousness without being really aware of them. Have a nice day,
    2
  30437. I have a bad habit of not studying
    2
  30438. I just think when you have the guts to go completely out of your comfort zone and study in a different country probably not even as a native speaker you want it a bit more than when you just pic the nearest university for studying. like studying in a foreign country I would see as a privilege or addition so only the ones confident enough do it and confidence is key for studying I guess, I don't really have a clue tbh
    2
  30439. For a next video I'd recommend going through each of these and showing some examples.
    2
  30440. I love this guys laugh 😂
    2
  30441. Thanks for the Daily Motivation 💪🏾
    2
  30442. You're right, I have so much programming to do... data structures and hash tables ahhhhh I also have hwk on proofs with discrete math 😅
    2
  30443. Good advice
    2
  30444. Too many books may be a sign of a severe personality disorder. Believe me, I should know. I forced myself to throw out many outdated books. I DO NOT buy anymore books.
    2
  30445. As a college undergrad taking electrical engineering, thanks for boosting my ego. Time to continue cramming for my finals
    2
  30446. I went today through all your videos from the beginning. Very nice because my first university math book in 1975 was Principles of Mathematical Analysis by Walter Rudin. Difficult to work through. And Serge Lang, Linear Algebra, fascinating. Math and physics always made me electrified and happy. I teach since 40 years maths abd physics.I have seen around 10000 different math books so far. I am IBO IB Diploma Examiner.
    2
  30447. Interestingly, and coincidentally, I found that exact version of Schaum's Trig 3 days ago where it has languished for, I think, a couple decades!!
    2
  30448. 1. Nope. 2. Not really. 3. Finally, I have one. 4. I'm already tired.
    2
  30449. THANK YOU SO MUCH <3
    2
  30450. Bezos with hair
    2
  30451. Is that a bottle of whiskey on your shelf? Don't blame you mate, must be tough being a maths prof specially with all those students to deal with... 😂
    2
  30452.  @TheMathSorcerer  Just don't let the Dean see this video, he might be having a few words... 😉 Great channel by the way, helps improve my confidence in tackling the tricky maths I missed out on in my youth... 👍
    2
  30453. Thank you, that was really helpful. You enlighten my way every time I watch your videos.
    2
  30454. Hi, Did you get this exercise from a book? which one?
    2
  30455. Thank you for really good advise, I procrastinate too easily ... Can you record next videos from sligthly different place, so we can see titles of your math books on shelves ?
    2
  30456. wow 🎉
    2
  30457. Dear Math Sorcerer, I completely disagree with the premises of your argument in this video. These simply aren't objective and sensible reasons to not study mathematics. Hard work, negative stereotypes, book collections and so on shouldn't be a reason to be discouraged from studying beautiful mathematics. I could go on but I'll save you the essay, however, I trust that you will heed this perspective and constructive criticism to substantiate your arguments and steer clear from fallacy. As a channel dedicated to mathematics, I'd hope to see the endorsement of mathematics.
    2
  30458. One of my favorite things about math is this proving and experimentation The fact you can just build something, test it and see how it works all on paper for free is the beauty of mathematics I think and hope I’ll love it for the best of my life
    2
  30459.  @abdallahkiswani4697  happens to the best of us!
    2
  30460. (Serious question) Are the first few books good starting points for somebody who is 33 years old, only has a high school degree and isn't good at math? Or should i start with more basic stuff? Thank you.
    2
  30461. First like
    2
  30462. Very interesting video! Just started calc I at my JC!
    2
  30463. i dont know why, but playing "haircuts for men" over this conveys the same information but 10x better.
    2
  30464. Honestly... I have quotes of mathematicians as a role model. Some of them were not a good people over all. Many things we could never know. But thing that I just can not stand in mathematicians is theirs EXTREMELY high ego. I consider myself as a good problem solver and kind of mathematician and I have that problem too. I honestly don't know how to think about my own ability to solve problems. I thought about it quite some time learned how basic intelligence algorithms, I studied some psychology and psychology of mathematical reasoning (We are all born with mathematical abilities - try to give a newborn 2 toys and take from him one - he will be angry as math guy who tries to solve hard problem :p). I help others in math and try to show them that they can solve problems - joke in a lightweight way when they do something wrong. When I get caught by them on making an error - I try to tell them that they did something really god in a funny way. But the most calming for me is just watching other "intelligent" (whatever it means - because we still don't really know what intelligence is) math person who shares his own hard times. And kind of nice role model is just watching The Math Sorcerer. Why? Because he just shows less stressful way to do math. Thank you :p :D (Sorry for errors in my english - that isn't my first language but I tried my best :p)
    2
  30465. Words of wisdom. 👏🏻👏🏻👏🏻
    2
  30466. the first one is obviously wrong.
    2
  30467. Dude this is awesome
    2
  30468. Going through my undergrad. I hella needed this. Thank you 🥺
    2
  30469. I studied physics in college and I borrowed a lot of physics books and science-related books :D
    2
  30470. Excellently said! Perfect advice!
    2
  30471. I want a playlist about this subject.
    2
  30472. The Math Sorcerer thank you. 🍀
    2
  30473. Hi my man ;)
    2
  30474. First
    2
  30475. Thank you so much sir 🙏
    2
  30476. good
    2
  30477. my guy said speed nine hundred times in the one video
    2
  30478. I'm 40 with a PhD in CS working in a heavily physics and mathematics field (Quantum information and computing) and I'm learning more everyday
    2
  30479. damn bro, thanks
    2
  30480. I'm taking 4 graduate math courses /flex And I'm only failing half of them 😎 Probably
    2
  30481. Outside of the US, the textbooks are for extra background/practice. Dont have time to spend on problems if you don't know whether you were correct or not. Even a final solution is fine, so that you can see, after doing the work in the middle, if you arrived at the correct solution.
    2
  30482. Need help in writing proof of function and mapping.
    2
  30483. When you are really excited about something you unterstood or a beautiful proof or whatever, no one will care and no one will want to listen to you. Your friends and family won't ask about your day because they aren't interested in what you're studying.
    2
  30484. You missed the chance to say “You spend so much time trying to understand Y, but not enough time solving for X”
    2
  30485. hello can you introduce book cal 1,2,3
    2
  30486. u gave me hope..
    2
  30487. Jokes on you, that is an easy one, it would be harder if the domain would be unkown and that we had to find it
    2
  30488. I‘m getting a new iphone and with that your case. Cheers!
    2
  30489. thank you
    2
  30490. From a personal experiencei would vouch that ALGERA BY WALKER & MILLER is a very good prelude to getting to grip with Higher Algebra by HALL & KNIGHT...
    2
  30491. LMAO
    2
  30492. The video that I've been requesting from the start ... Thank u sir so much
    2
  30493. I love old book smell
    2
  30494. This is beautiful!
    2
  30495. accurate
    2
  30496. Thank you
    2
  30497. Cheers bruh So quick
    2
  30498. Gotta admit, I unsubscribed for a bit, got bored. But the book sold me haha. subbed again
    2
  30499. Thanks a lot! it's really helpful!
    2
  30500. Would love to know about all the Mathematics books collection behind you. Please make a video on it too.
    2
  30501. Thank you.
    2
  30502. god this feels like me rn lol
    2
  30503. just seeing the thumbnail of your vid and you’re channel’s name, positivity immediately come in mind 😁 big thanks from Saudi Arabia
    2
  30504. Just this video made my day. So positive :)
    2
  30505. GREAT HELP!!!
    2
  30506. Super accurate! Lol
    2
  30507. Thank you for the videos❤️🙏 Pro just one Hur? 😀 My Question is what your think 🤔 About the Liner algebra Howard Anton? 🌹🌹🌹
    2
  30508. Do you think it's important to read the lecture notes in textbooks before tackling problems? What if you have no time to read lecture notes? What then?
    2
  30509.  @ap3montes739  : Copy.
    2
  30510. Thank you so much :)
    2
  30511. Growing plants in a flower bed require periodic care: watering, weeding, aeration, etc. Watering can be accomplished with a watering can, with or without a sprinkler attachment at the end of its spout, or it can be accomplished with a pressure nozzle at the end of a water hose. Depending on the water pressure and volume, modest or large amounts of water may emerge from the nozzle, perhaps at high pressure, perhaps not. Plants may remain healthy, upright, and vigorous, or they may be pounded, pummeled, and bent over under a massive aqueous attack. Math studies may be accomplished at self-administered rates, assumed to be modest and manageable. Alternatively, math studies may be accomplished, or administered, or endured at rates out of control of the student, in a classroom or other study environment not so amenable to efficacious enjoyment and efficient enrichment. Pressure teaching any subject as if it were a math class wherein teacher notes are copied from a white board to a student's notebook as fast as the teacher can copy sample problems from podium to board, without any of the notes going through the student's conscious brain, is a commonly-experienced, yet callously counter-productive, academic activity found all over the world. Perhaps a better system for mathematical performance evaluation might follow the oral examination following a written examination model utilized by foreign language teachers. Students may self-study their materials at their own pace, and, when they feel themselves prepared, may present themselves for an examination, essentially a challenge exam, to show the examiner(s) the student's mastery of the material. Measuring mathematical progress with more evaluations over more limited ranges of material, rather than many weeks' or months' worth of studying, likely will give a more finely-tuned and precise evaluation result with less student stress and more examiner confidence of a student's actual achievements. For some students, a series of challenge exams may be preferable, and for others the traditional pavement-pounding hail-storm of mathematical battle incoming artillery may be needed.
    2
  30512. You're my daily dose of motivation to go through these analysis and linear algebra classes
    2
  30513. You definitely look like you're about to cast a powerful spell lolll.
    2
  30514. Noiice
    2
  30515. I actually got this right! Probably because I never try to assume whether or not two mathematical objects are equal, which originated as a habit I developed while learning Partial Differential Equations because given several variables, you can never be too sure whether or not some of those variables are dependent on one another. So if you don’t know the dependence of those variables on one another, you have a variety of possibilities of solutions to things. One of the reasons I have trouble applying differential equations to real-life problems is because when I think I’ve expressed something fully in terms of partial derivatives, I find myself questioning myself like “How do I know for sure that this is dependent on another variable?” I’ve never relied on intuition because it is misleading, and intuition doesn’t tell you everything there is to know
    2
  30516. I can't stop collecting all these books!!! 🤣❤️🤣❤️🤣❤️
    2
  30517. good stuff
    2
  30518. 💪
    2
  30519. Especially making someone laugh at math related stuff is a great talent! 😊
    2
  30520. This is GOOD stuff🤓
    2
  30521.  @TheMathSorcerer  sir you replied🙀
    2
  30522. Jeff Bezos really let himself go
    2
  30523. math is easy, comedy is hard.
    2
  30524. Thank you sir It's very helpful for me
    2
  30525. Hi Leroy,it’s Evie and joey
    2
  30526. This vid count as a math vid? Jk
    2
  30527. It just goes on forever I think...
    2
  30528. Has this video single handedly increased the value of all these books, or am I just not looking in the right places?
    2
  30529. Professor, can you talk about the `Street Fighting Mathematics` (text)? Would appreciate your thoughts :) Hope you are well, you keep pushing me back on track
    2
  30530. What statistics books would you recommend?
    2
  30531.  @TheMathSorcerer  What do they mean by mathematical statistics? I thought statistics required math in order to work.
    2
  30532.  @TheMathSorcerer  Do they explain what random means because my basic probability and statistics book did not give a noncircular definition.
    2
  30533. So thiccc
    2
  30534. I didn't really have role models, but growing up, I did want to get good grades because my dad rewarded them with eating out and a nice vacation during school breaks. Eventually, by middle school, I internalized that. Math also was an invariant throughout my formal education since my dad taught me the multiplication tables ahead of my peers, and some of the best instructors I ever had in high school and college were from the math departments. They made the material interesting and engaging, and their lectures followed a clear and logical sequence. I could not picture myself not taking a math class back then, lol.
    2
  30535. I've always been a fast learner of maths but when I switched languages (English isn't my first language) it got hard to understand everything
    2
  30536. Now I learn in my mother tongue then translate the concepts
    2
  30537. can you make a play list of videos like : I'm Going To Give You a SUPERPOWER In This Video - Use It Right Now To Find Your Big Dream Why Smart People Fail Why Your Life Feels Like A Complete Disaster And How To Fix It Act Now or Stay Stuck Forever
    2
  30538. Here is raining too !! But slowly
    2
  30539. The best teachhhher ever ❤
    2
  30540. We are the two champions 👍👍👍👍
    2
  30541. I used to do research on generalizations of Bessel functions. You should check out Watson, a 700 page behemoth all about Bessel functions.
    2
  30542. Thank you sooooo much sir.. God bless...
    2
  30543. thank you i bought a descent timer
    2
  30544. He is the bob ross of math :)
    2
  30545. …By rough analogy, the longer one looks at the sky, more stars become apparent. Likewise, the longer one sits with math, the more of it discloses itself to you…
    2
  30546. Click baitey title but, good content!
    2
  30547. Hey I see you picked up Linear Algebra by Larry Smith! Do you think you will do a book review for it?
    2
  30548.  @TheMathSorcerer  Thank you sir
    2
  30549. Perhaps a no-brainer suggestion, but don't skip ahead to just work on the problems at the end of the chapter. Study the theorems and work through the examples. Taking shortcuts will probably delay your progress in the long run.
    2
  30550. thank you, love you have a good day today.
    2
  30551. Amazing ! Self Study sticks with You ..
    2
  30552. I am gonna make math videos on youtube someday because I BELIEVE I can!!
    2
  30553. A video on the deduction of the inverse Laplace transform would get a lot of views from EE's. The stuff we see in control theory is a lot harder than the stuff in these math books.
    2
  30554. Beauty in pages
    2
  30555. As a math sorcerer do you submit to the Order of Operations?
    2
  30556. I really like watch your inspirational videos during breaks from study. It helps me keep pushing for more.
    2
  30557. I could never take notes, I get more from hearing, for some reason I can't get my brain to listen and write at the same time, so when I took notes I never got anything from class
    2
  30558. The one hour a day is a very good idea no doubt.
    2
  30559. i dont have an entire life on memorizing math i only have 3 days
    2
  30560. Gracias maestro, sus videos son muy inspiradores.
    2
  30561. Self-study is the most powerful tool we have in life. It's not easy, but learning how you, yourself, learn is the key. That is how I got started as an IT professional. Experience, self-study, certifications, and college was my path to success.
    2
  30562. Hmmm, is tensor calculus included in this video?
    2
  30563.  @TheMathSorcerer  I guess there will part two 😆😆
    2
  30564. Mimeograph, I think
    2
  30565.  @TheMathSorcerer  you're the best!
    2
  30566. Oh dear, starting with topology in functional analysis. It took me a semester to feel comfortable with topology
    2
  30567. The text appears very readable.
    2
  30568.  @TheMathSorcerer  That's something to be proud of when you're that good at math.
    2
  30569. Excellent video. I do agree with you how engineering is a very hard major. I think Math (pure Math) is the hardest major in college since when you major in Math (pure Math), you have to take a lot of highly advanced abstract proof oriented Math courses once you finish taking Calculus 1, Calculus 2, Calculus 3, and Differential Equations. Those proof oriented Math courses that Math majors take have a reputation of being so difficult they make Advanced Calculus, Differential Equations, the hardest classes Physics majors take, Organic Chemistry, and Anatomy seem like mickey mouse classes. Even though I think pure Math is harder than engineering due to pure Math requiring students to take a lot of proof oriented Math courses, I do think engineering is more time consuming than a math major. Keep up the great work with your videos. I wish you the best.
    2
  30570. Aside from the subject of the video I want to ask you a question: how many academic disciplines are there and what are they? Thank you❤️
    2
  30571. How is it that you put these out just when I need them?
    2
  30572. Nice. Not too much. Just some books. If we look carefully, the pile is half size, cause each topic has at least two books, which is good. At end of the day, after start, and feel the beautifulness, you wont stop the progess.
    2
  30573. Cheaters should be publicly shamed.
    2
  30574. this was awesome!
    2
  30575. Thanksgiving
    2
  30576.  @TheMathSorcerer  yeah, why the heck get into Engineering then? I'm used to living well within my means!
    2
  30577.  @TheMathSorcerer  I'll have more fun as a Grad student than an early member of the workforce. That was one of the first reasons I didn't wanna do Engineering. Just imagining only going to school for 4 more years... it feels gross.
    2
  30578. I really appreciate your video. Focus, I've got to really work on that. One topic that I think would go along with reasons for not doing well in math is fear of learning something new, unfamiliar, and hard to understand. Fear, especially if you don't recognize that it is there, can undermine the ability to learn new material. Here is an idea for a future topic. Are there techniques or ways of training yourself to cope with hard and quick paced math courses? Thank you.
    2
  30579. Wooot
    2
  30580. I love this
    2
  30581. I wish I would work together for a research project in Math with professor
    2
  30582. Relatable and relevant.
    2
  30583. Ayo i just realised this is exactly the way my physics teacher tells us to solve numericals and that's why I've gotten better at it.
    2
  30584. To many books. Just say the best book on the particular tropic.
    2
  30585. This is great! Thank you. Have you considered doing one like that but for non-math related fields (e.g psychologists, political sciences, sociology, etc). Basically for those of us who need to learn some advance mathematics (e.g statistics, game theory, etc) but do not have a hard math background. I think it would be very useful especially for topics like pre-calculus, calculus (single and multiple variables), linear algebra, and probability. I hope you can do something like that it would be wholesome! Have a nice day, and thank you for the content.
    2
  30586. Sir you made me so much better at maths thank you!
    2
  30587. Yes , I can do it . Thanks 💜
    2
  30588.  @TheMathSorcerer  Are you in California? We are part of a program here called Pacific Math Alliance, where we establish networks will all different faculty at all colleges and universities. It is still a new concept, but the highlight here is to establish proper mentoring for students and having students get to know other professors from other universities. We have only had one conference, then COVID hit, so maybe next year we will have another. The whole purpose is to give students proper insights at the different things you can do as a math major.
    2
  30589. Ordered together with trigonometry.
    2
  30590. Great stuff
    2
  30591. Jeff...Bezos?? Thanks btw
    2
  30592. I needed this right now. Thank you Sorce, Im loving Epps Discrete Math, excellent suggestion to grasp math
    2
  30593. Thanks a lot sir🙏
    2
  30594. What happened to your walcom tablet
    2
  30595. 10 to 15 years ago self-study is really hard because your source is very narrow In 2022 u can access any knowledge u want however u need to organize everything got by yourself once u find a barrier don't give up too easily I suggest u go back to the basic topic or look for any sources that can help u (There are a lot of maths videos on youtube with steps for example if u don't know why prior distribution and posterior distribution are conjugated u can find them on youtube with details algebra steps that's amazing) And sometimes most of the self-study people are quite scrappy or u can say stubborn
    2
  30596. I’m sorry but every time I hear talk about wizards I go back to that scene from The Extras where Ian McKellen is explaining that he’s only pretending to be a wizard in LOTR. Good video!
    2
  30597. This was really helpful
    2
  30598. I really tried to self study but I'm unable to get most of the concepts. It really frustrates me, but still I enjoy a lot. I contemplate myself about the crazy stuffs that I studied in physics and mathematics before I go to my bed. That makes me motivated all the day.
    2
  30599. Good set.
    2
  30600. I'd like to suggest Statistical Distributions by Hastings and Peacock.
    2
  30601. Totally unrelated to the video. And since you don't have a discussion page on YT, I have to post it here. But how much math can you learn without looking at symbols all day. Like X, e, etc. And instead learn the essence of math. For instance, I was able learn the essence of Bayes' theorem without ever learning the actual formula. I want to make math a hobby, since it seems like a language of its own, but I am getting tired of all the symbols everywhere. Is that even possible or am I in la-la land.
    2
  30602.  @TheMathSorcerer  makes sense, especially the calculus part, that limit always appears everywhere!
    2
  30603. Tq so much
    2
  30604. i love you so fucking much
    2
  30605. Thanks
    2
  30606. So you totally lost me at page 1. LOL Not your fault, I suck at math and never got past College Algebra.
    2
  30607. I have an exam tomorrow on Real Analysis and after hours of studying..i really needed this..so Thank you:)
    2
  30608. What should i do first calculus or real analysis?
    2
  30609. Exact question came in my exam.... Thanks a lot.
    2
  30610.  @TheMathSorcerer  thank you 🙏
    2
  30611. Now I have time to study do carmo differential geometry of curves and surfaces and differential forms and... To watch comedy :)
    2
  30612. Wow!
    2
  30613. l am passionate about mathematical theory because it motivates me to study math at a deeper level. Understanding mathematics at a profound level encourages one to teach jt to others. I love math and everyone sould love it. Hence, mathematics is the language of the universe.
    2
  30614. It's a selection effect. The international students you see in the U.S. are not a random selection from their home countries. So it appears that international math curriculum is harder when there isn't that much of a difference between the median in each country. People saying "I took calculus in high school and real analysis in freshman year", well I did too. But I'm not the typical student and neither are you, or else you wouldn't be in grad school studying math or whatever else
    2
  30615. Isn’t this what will make you successful at anything?
    2
  30616. The most beautiful thing is that what you say comes from the bottom of your heart with honest advice,i ask Allah to guide you to the right path. thanks
    2
  30617. Thanks a lot brother....
    2
  30618. ❤❤
    2
  30619. Could you make a video where you present math books with solutions?
    2
  30620. I know it is petty, but the lack of comma between i and j is driving me nuts. I have seen no commas in my textbook, too. ij, for i and j equal 1 and 2, would look like 12. i,j would be 1,2. Nuts, I tell you! In the coconut!
    2
  30621. In the dead of night when you might find yourself awakened by a loud bird in the backyard is a good time to do some flexing .
    2
  30622. Yeah!!!!!!
    2
  30623. Where does the 500,000-figure come from? Who has taken a head count of math lovers?
    2
  30624. you look like a mad genius
    2
  30625. Thanks a lot for this video, never been into math but your talks, videos are getting me curious about taking up physics
    2
  30626. Thank you very much!!!
    2
  30627. Thank you!
    2
  30628. I went back to college at age 40 and was surprised that I got an A in College Algebra. My interest only grew from there. It was my fault for believing everyone saying, "math is hard." It's not always hard at all.
    2
  30629. I've been through ur vids this day and I just subscribe... and your video really helps me I'm 16yo and I love learning math but it's just so hard for me I listen and understand what my teacher taught but I cannot solve anything it's like I didn't learn🤷😭do you have perhaps a tips..I really want to learn math and tattoo it in my mind plss🥺
    2
  30630.  @TheMathSorcerer  thank you so much for the speedy reply! I'll take a look now
    2
  30631. Thank you
    2
  30632. thank you for your persistence
    2
  30633. I’m starting my ODEs & Calculus of Variations in 2nd Semester, definitely checking this one out. It’s one of the main topics I will use for my industrial placement next year.
    2
  30634. Sir please bring some amazing questions on function of several variables ... would be high for competetive entrances🙃
    2
  30635. I enjoy your videos and got lot of information to self study Maths.. After IT carier of 25 years I have started learning Maths again but in-depth for a fun and study theoretical physics later on Can you please create video to guide self study + books recommendations for guys who want to do self study I have created a list of min topics and books to acquire sufficient knowledge so I can study Physics with good maths base Can you please recommend and correct chronology of study of Maths branches, books etc ( definitely need other ref books as well but Must read books list ) 1. Linear Algebra, Vector Spaces - Strang then, Halmos 2. ODE and PDE - Raisinghania problem practice 3. Real Analysis - Spivak Calculus then, Buck 4. Complex Analysis - Kasana / Rudin ?? 5. Abstract Algebra - Gallian then, Artin 6. General Topology - Stefen Willard 7. Algebric Topology - Hatcher 8. Functional Analysis - Kreyzing, Rudin 9. Manifolds - Louring Tu 10. Lie Algebra - Brian 11. Multivariable Calculus/Advanced Calculus - Stewart ?? Buck 12. Vector Analysis and Calculus - Stewart ?? 13. Tensor Anaysis and Calculus - Borisenko 14. Differential Geoemtry - Do Carmo 15. Reimanns Geometry - Do Carmo
    2
  30636. The time management you mentioned around getting stuck on the small things is something I really struggle with. I always feel like if I don't get it now I won't be able to get it later. It's reassuring to hear that you're better off coming back to it. Thanks for the advice.
    2
  30637. It's gonna sound such a terrible cliche but w.e, it's the truth. I did get a MSc and I just finished my first year in the PhD programme, that's great and all. What I got from sticking with math, even though it was reallllly tough in the beginning, is more discipline and patience. I had some discipline before having worked as a chef for a while, but I wasn't patient. I was extremely disappointed with myself at the start of undergrad when I couldn't understand "simple" concepts or do "basic" manipulations with expressions, algebraic or logical. It took me two full years for the "rules" of predicate calculus to finally click. What I mean is, it took that amount of time for me to finally be able to manipulate with logical expressions at will and instead of semi-memorising proofs, I started looking for key themes/techniques in proofs or identifying where the "pudding" is in a given proof. Math has taught me not only math, but also patience and humility. Perhaps, these become trivialities, but for now, I can firmly say these are my more notable accomplishments as a student. Side remark: I broke the extra credit record in a course on linear programming, which had stood for years :)
    2
  30638. I'm pretty tall, am intermediate at Calculus and I do like blueberry cheesecake. I'm assuming that it is because I like blueberry cheesecake and not blueberry pie which makes me only intermediate at Calculus not a master of it. Or perhaps I am not tall enough (I'm about 175 cm).
    2
  30639. Some days I feel like I cannot concentrate, specially if I'm stuck in some part of my studies. What works for me is sporadically re-read what I don't understand, if I feel I'm getting nowhere I leave it and come back later. Maybe if I'm feeling more awake I Google and try to understand it by reading it worded in a different way, or explained in more detail/dumbed down in a video or some website. Only works for subjects I like, though, I can't ever put this much dedication to something I'm not interested in :(
    2
  30640. Thank u for this amazing review
    2
  30641. Wich app do you use?
    2
  30642.  @TheMathSorcerer thank you very much sir ❤️❤️🌹🌹
    2
  30643. Thanks so much dude
    2
  30644. Is this good for a guy from Humanities who is interested in Topology.
    2
  30645.  @TheMathSorcerer  Thank you!
    2
  30646. But there’s no finish in maths...
    2
  30647. Your video are so helpful and insightful
    2
  30648. thanks , really straightforward
    2
  30649. Why does this guy look and sound like Jeff Bezos with a wig?😂
    2
  30650. I love your videos they are so inspiring!!
    2
  30651. Random question: Are you going to do more videos on functional analysis? Or make a Udemy course on it, I'd buy it.
    2
  30652. Please can you make a video to make math notes
    2
  30653. this was SO helpful, thank you so much!!
    2
  30654. Just loved the way you said "'I am a fan of pure math" It would be great to know your area of research!
    2
  30655. Math is the language of the universe
    2
  30656. ¡Gracias! 😃👍
    2
  30657. Thanks!
    2
  30658. Interesting chanel!!! Subscribe!!! Can you talk about how to teach math to kids? Thanks!!! Happy new year!
    2
  30659. There is a reason why Maths Professors always talk about Intuition, you have to acquire it by the unseen technique of bootstrapping.
    2
  30660. Body weight exercise is hard to beat. Also dynamic tension between speed movements will turn weakness into strength without bulking up
    2
  30661. Thank you very much i was truly needing to hear that ❤️
    2
  30662. 😍😍😍 wow
    2
  30663. I feel like the infinite series was not bad, it was very easy. It was fun, as you said, but the taylor and mclauren series (unsure if I spelled mclauren right) really kicked my ass, I just couldn't get my head around how the equations worked.
    2
  30664. amazing review, now I want this book too, thanks !
    2
  30665. Google engineer at work: "why is the Peterson graph trending?"
    2
  30666. I enjoyed watching this, nice and relaxing.
    2
  30667. Do you practice Vipassana meditation? Being in the present moment is key to success.
    2
  30668. Love it
    2
  30669. Wow you should be a professor!
    2
  30670. Good routine builds good habit and good habit => momentum/ productivity. To start you must link pleasure with the routine. Every day at this time and at this desk I get a big bowl of ice cream and start working on math problems. The ice cream is then associated with the time, location and task. The task must also provide a long term reward. Math and coding are similar and coding is in enormous demand. Front end developer, back end developer, full stack engineer etc. = $$ and $$ (e.g.) = hiking trip in Nepal. Solving math problems expose your brain to abstract thinking. There are variables in coding and variables in math. People with average intelligence (like me) who have been exposed to Algebra II, Calculus etc. pick up coding much faster than those who haven't been exposed. Get some ice cream, learn some math and then learn to code.
    2
  30671. I'm finishing high school and have listened to your advice about solving problems faster which has helped me improve a lot but I wish someone would have told me that since middle school
    2
  30672. Thank you
    2
  30673. My full respect for you mr sorcer but I think going to college is better than math self learning
    2
  30674. We want to see the Solutions. You can do it! You are the Math Sorcerer!
    2
  30675. Unfortunately, I got a Liberal Arts degree without taking any math courses at all, now I want to get a Math degree but not sure whether to get a second bachelor's or a masters. A lot of masters programs require some math courses.
    2
  30676. first
    2
  30677. ** purchases book ** You should consider sponsorships for your videos.
    2
  30678. Tough problem, but simple Calculus here. This requires imagination, which only develops after many, many practice problems!
    2
  30679. Thank You Sir!
    2
  30680. Nice explanation... Thank you sir....
    2
  30681. it is very interesting to solve this problem without derivatives
    2
  30682. Looking a really niceecthre sir
    2
  30683. Needed this, thank you.
    2
  30684. another excellent video!
    2
  30685. blink /blɪŋk/ verb shut and open the eyes quickly.
    2
  30686. Dog, for Diff Eq, check out Krantz. He's got two. I have/like the version with Theory, Practice with Boundary Value Problems (has a rocket on the front).
    2
  30687. Looks like Dr. Wildberger gave this a thumbs down.
    2
  30688. They probably have teacher copies with all of the answers
    2
  30689. Can someone please tell me what he means by reviews. I don't have any idea. What the teacher is reviewing ? Homework?
    2
  30690. Great video! Thanks a million 👍
    2
  30691. Thanks a lot😊🙏🏻🙏🏻🙏🏻🌷🌷🌸🌸⚘⚘
    2
  30692. The integral of "bought" = "boughten". + C, of course. ;-)
    2
  30693.  @TheMathSorcerer  nothing wrong with a “boughten” once in a while. (Dropped one myself a few weeks ago!) Otherwise the English language would be a boughtenless pit. 😀
    2
  30694. Nice video sir this video is very helpful for calculating limits
    2
  30695. You're spot on. Successful people can WORK! i mean do project after project with no return. Its really humbling and this observation can take a person out of their comfort zone.
    2
  30696. learn from start to panic
    2
  30697. Greetings from Germany 🇩🇪
    2
  30698. Nice!¡
    2
  30699. Differential geometry for me! Really had a hard time getting my head around manifolds.
    2
  30700. I used to think I just bad at Math. Than i found out that I can learn most of it on my own, so maybe it is not just me who is bad at learning, but also some Instructors not being very helpful.
    2
  30701. actually the video was recorded in 1080.😂
    2
  30702. thank you
    2
  30703. you look like 21th century version of sir isaac newton
    2
  30704. So my maths teacher is hiding all this stuff.
    2
  30705. this guy looks like he is on speed
    2
  30706. I will never say I’m good at math
    2
  30707. Are all definitions if an only if?
    2
  30708. literally the only video with an unknown im so grateful for you thankuuuuu
    2
  30709.  @mmariokart231  Let (X,τ) be a topological space. Then the following hold for any A, B ⊆ X : (1) A ⊆ B ⇒ Cl(A) ⊆ Cl(B), where Cl(A) means the closure of A. (2) Cl(A ⋃ B) = Cl(A) ⋃ Cl(B). (3) A° = ( Cl( Aᶜ ) )ᶜ, where A° means the interior of A, and Aᶜ means the complement of A. It took me some time to prove these all by myself using simply the definitions of the closure, the interior, and the complement of a set in a topological space. It just felt nice watching the above video right after doing the proofs. :)
    2
  30710. Topology if given. I had trouble with linear algebra.lt didn’t make any sense
    2
  30711. What a beautiful book! Ooooh!
    2
  30712. I love your videos man ,love from south African in Portugal
    2
  30713. ohhh that was encouraging, thank you 🙏
    2
  30714. It's funny you should post this video because I'm experiencing burnout this very moment. I spent the entire day yesterday studying math and when I woke up this morning to read the next section my brain just quit. But I told myself I would take today off from math and start again fresh tomorrow. Glad to see I'm not the only one who experiences this and even math veterans, like yourself, still experience it from time to time. Thanks for posting, I found it encouraging! :)
    2
  30715. Probably an hour or two
    2
  30716. I am greatly saddened by the lack of office space references in the comments here
    2
  30717. Obsessiveness is covered
    2
  30718. Nice topic, thanks 🇩🇿
    2
  30719. Hi, i'm a huge fan of the content. Was wondering if we could send you particular math exercices to solve in videos if possible of course.
    2
  30720. Great message
    2
  30721. It's true, I am a gendarme at the Portuguese gendarmerie and today I spent the night shift doing operational research exercices is so good fun when you do it. 👍
    2
  30722. the poor guy with the bottom score. cracked me up. lol
    2
  30723. Thanks man...don't you ever stop your sorcery...
    2
  30724. James Stewart.. pfft! RON LARSON BABY!
    2
  30725. thank you sold again
    2
  30726. This reminds me when we were learning to swim. We were watching these guys in Galway run off the top diving board at Black Rock. We must have been 12,13. The drop was about 20 meters. One guy would send out an inflated tyer tube. And courageously or stupidity we would jump from that height and hope to catch the tube. Eventually we learned to swim. Or sink!
    2
  30727. Thank yli very much about this information ✨ This last thing is very important to me
    2
  30728. Thank you*
    2
  30729. I thought communications is the hardest major
    2
  30730. Yay! I love the book videos!!
    2
  30731. Also, i think we all should ask Andrew Wiles how he was able to hold on for seven straight years. It is a quality that helps if one wants to get anywhere in math. I mean to be able to stick with it.
    2
  30732. You save my life
    2
  30733. 🤣🤣🤣🤣🤣
    2
  30734. God bless you...u genius
    2
  30735. i^2 = -1 so i = sqrt(-1)
    2
  30736. Cool
    2
  30737. Currently chewing through Ian Macdonalds “Symmetric Functions and Hall Polynomials” it’s a wildly fun time
    2
  30738. Thank you !!
    2
  30739. Do you recommend tom apostol calculus vol 1 and 2.
    2
  30740. does ths work on english tests
    2
  30741. My favorite was "it's a conceptual move, not an algebraic one." Had me dying...
    2
  30742. 👏👍
    2
  30743. Wow
    2
  30744. Thank you very much! Can you show a similar book about differential equations?
    2
  30745. It's worth seeing your videos everyday every time on my feed. You are the ultimate inspiration to everyone.
    2
  30746. I was learning truth tables for the first time YESTERDAY, so I thought it was being suggested months after.
    2
  30747. Interesting fact, by the way, I'm Brazilian and got shocked, surprised to hear it! I have a Ph.D. in molecular biology and, for a while, I have felt that something was missing in my knowledge as a scientist. I thought first that was more knowledge about philosophy, but then I realized that was actually a more deep understanding of math, and how math thinking about the "reality" outside. Finally, I felt that I needed a new adventure, and decided to embrace a new graduation in math, and I have found your videos quite interesting, thanks!
    2
  30748. You just save my live, thank youu!!!!
    2
  30749. wow, love that. Thank you so much for teaching me
    2
  30750. I love maths and logical reasoning...these are fun
    2
  30751. How dare you tell me what I shouldn’t do!!! I’m gonna watch it all now.
    2
  30752. That crease on his chest is pretty dang impressive.
    2
  30753. Seriously? Can you possibly use colored crayons on the next lesson? I did not quite understand. ♿
    2
  30754. Thanks
    2
  30755. Neither a lofty degree of intelligence nor imagination nor both together go into the making of genius. Love, love, love, that is the soul of genius. —Wolfgang Amadeus Mozart
    2
  30756. Is there any way you can remove the background hum from your videos?
    2
  30757.  @TheMathSorcerer  Ah okay. It was still a great video! Thanks. As someone who is more or less studying maths in solitude, you are a much needed and appreciated voice in my life.
    2
  30758. This video was so timely. ! I really appreciate the motivation to just do !
    2
  30759. Indeed this book is excellent and very useful .. Thank you.
    2
  30760. In 1:20, I see "What About Those GRE's?" listed in Chapter 2. I don't know GRE as I am unfamiliar with the educational system in USA. I am confused by the grade differences like SAT, GED, AP, etc. Who takes GRE exams? Highschoolers or university students? I am interested to know what GRE is used for.
    2
  30761.  @TheMathSorcerer  sorry im struggling in class. how many different kinds are there?
    2
  30762. I’m an elementary math teacher and I keep trying to instill this same attitude in my students. That math can be like mountain climbing and you have to enjoy the challenge, but you have to recognize your limits too.
    2
  30763. You are truly someone to look up to.
    2
  30764. Suddenly the comment section has filled up with Sorc stans😳
    2
  30765. I took your advice for foundational concepts for higher maths. I found a book called, “An Invitation to Abstract Mathematics”, written by Béla Bajnok. No previous mathematics required. Starts with combinatorial game theory. For EE Differential Equations are foundational for circuits. So, will enjoy. My interest intersects EE, CompE, and Optical.
    2
  30766. And The Calculus is foundational for DE. Great channel.
    2
  30767. Advanced calculus or elementary real analysis usually means proof based calculus. Advanced calculus sometimes includes basic fourier theory, calculus of variations etc, but not measure/functional/operator/wavelets etc.
    2
  30768. hey math sorc, on your video you did about all the textbooks you went through as a math major, how would it be different if you majored in applied math instead? I know they have some more emphasis on statistics and data science stuff but I'm not sure what a standard curriculum would look like. do you have any idea?
    2
  30769.  @TheMathSorcerer  ok thanks!
    2
  30770. “… If you mess up the first part, you are in trouble …” is what you said was a problem with this type of problem. We are talking about the military and navigation and building. If you get the first part wrong in practice, then you or someone else is dead!
    2
  30771. I am going through that now ,i recently started a course in galois theory ,its been a month ,and i am in a break of 2,3 days. When in break i watch some fun math videos,you know which made me realise why i do what i do.
    2
  30772. Chinese letter stamp
    2
  30773. Truly an interesting book
    2
  30774. I understood a class of 1 hour in 5 minutes
    2
  30775. "Reading without a pencil is daydreaming." (From an unknown math book.)
    2
  30776. Unreal
    2
  30777. No Dummit and foote is unfortunate though. Thats a bible amongst pure math majors
    2
  30778. Hey I like when some homework takes ten pages!
    2
  30779. Super excited!!!
    2
  30780. Looks like a good book! Great stuff
    2
  30781. I have the french version, it is very simple to understand
    2
  30782. Very interesting book. I love your content
    2
  30783. Appreciation from india
    2
  30784. Thanks now my brain won't explode whenever I open tNice tutorials
    2
  30785. Show more helpful books.
    2
  30786. Perfume companies will have to come up with a new formula for a perfume that will fit the bill of being the Math Sorceror's favourite perfume. No prizes for guessing that it would be one that would smell like the inside of books.
    2
  30787. make world better
    2
  30788. awesome review!! make a video on numerical analysis.
    2
  30789. he's jeff bezos from another universe
    2
  30790. I was watching this video at 1.25x
    2
  30791. Thanks, this is good advice. :)
    2
  30792. Thanks
    2
  30793.  @TheMathSorcerer i Will try! thank you!!!
    2
  30794. This is so true. I’ve found walking and reading for a couple hours a day and then coding for at least four hours a day has helped me learn and progress at my own personal rate. It’s been very rewarding in so many ways.
    2
  30795. so many memories from Calc 3
    2
  30796. this video will be my savior during final
    2
  30797. 0:11 looks exactly like Jeff Bezos if you ignore his hair
    2
  30798. You are great teacher 😇❤
    2
  30799. Yes : "People fail all the time"...and among them are those who will get through!
    2
  30800. using your calc 2 course on udemy. Good stuff
    2
  30801. How is it possible you make math fun? I really dig this
    2
  30802. Very tasty thanks
    2
  30803. Sir are you from England? Nice place
    2
  30804. not as good as the other series. better use Quizziz lesson to study chemistry
    2
  30805. Nothing beats the relaxing smell of new books.
    2
  30806. By 6:30 I am usually reduced to trying to draw a picture faintly resembling a flowchart. (:
    2
  30807. Jeff Bezos, is that you?
    2
  30808.  @TheMathSorcerer  everybody is so ahead of me. Everybody is already studying higher level maths while I'm still at precal. They are doing maths like topology, analysis, differential geometry, etc. and I was like wtf how they reach that.
    2
  30809. I checked out that author at Open Library. I think you have got to see this book "Advanced Calculus" by another author, Edwin Bidwell Wilson, if it is of any interest to you. The book was written in 1911. https://openlibrary.org/works/OL13800831W/Advanced_calculus More works by Edwin Bidwell Wilson https://openlibrary.org/authors/OL3775731A/Edwin_Bidwell_Wilson
    2
  30810. I found this very insightful. As a kid, I felt I always had to be competitive in Math and I truly believe it impacted greatly on my interest in returning to various Math courses in my 40s - that is I lack interest. The question I have is this: Didn't you ask the Math competition organizers why you ended up with a 2%? You seemed convinced by your answers - did they think your answers were so complete that you must have cheated?
    2
  30811. Hello again Math Sorcerer, always great to get your excited perspective that I don't ever get in the classroom. I was especially struggling with the difference between linear and nonlinear D.E.'s so your explanation really helped! I've been sharing your channel with everyone I can that is interested in math because your enthusiasm really rubs off, even if it has been 3 years since the lecture. Keep up the good work:) 🐴
    2
  30812. In my 2nd year grad school, my mentor introduce me to an old adjunct professor. I didn't really bother to follow him (as an inexperienced person in academia, I sort of ignore him since he was not a full prof). Later I learned he was a top Russian scientist, and found someone has written wikipedia article about him. I also learned that my mentor has worked under a Nobel prize winner and also know the author of Nonlinear Dynamics and Chaos. You are correct about role models, they help you to stay motivated. These role models helped me later in most critical points in my life.
    2
  30813. Nicely done bro
    2
  30814. Outstanding. Thank you.
    2
  30815. I used the first edition. Excellent text.
    2
  30816. I was stuck at this particular type of problem, thanks for helping out
    2
  30817. I run 1 mile and exercise to stay focused to study theoretical physics. If I don't do it, after 2-3 days I don't study at all. I want to stay focused like I used to in my high school times, missing those days.
    2
  30818. may you make a video on how to solve a= b+c/d solve for b ?
    2
  30819. Ps your Udemy courses rock! Thank you 🙏
    2
  30820. Haha I have that Galois Theory by Artin. 😀
    2
  30821. Lol
    2
  30822. @Insert Identity Here True..
    2
  30823. I had no trouble finding a very good copy of this book at a reasonable price. There are many copies available.
    2
  30824. Well said💯
    2
  30825.  @TheMathSorcerer  You're welcome! I'm glad there are others out there that love these older books! I also collect old math and physics books like this and I find that I never have enough shelves :) These old books have a certain style about them that you just don't see anymore in my opinion. In my undergraduate, I majored in physics, math, and chemistry and could have pursued a Ph.D. in any of them but I decided in the end to do physics. I still love and study math on my own, however, especially the history of math as it is almost like a sort of novel or story filled with interesting people, sometimes tragic.
    2
  30826. Thank you for this video!
    2
  30827. I'd probably say algebra becaise it is common to all subjects or largely so.
    2
  30828. jeff bezos lookin man
    2
  30829. This is the best laugh I've had in years. 😂
    2
  30830. I write on mostly loose A5 papers. When satisfied with solutions to math problems, I use them as bookmarks inside vital pages of math books. My copy of James Stewart's Calculus contains many of my written bookmarks.
    2
  30831. Nice for electrical engineers thanks
    2
  30832. damn, i though we going to hit to gym
    2
  30833. i love your videos, it helps me get motivated. Keep them coming.
    2
  30834. This gives me hope to seek more.
    2
  30835. I am surprised that you got jacked lately
    2
  30836. Idk, I went to UofT and we had a midterm on Dedekind cuts in the 3rd week of first semester of undergrad in our first year analysis class. Idk what other schools do or dont do, but that was pretty intense.
    2
  30837.  @TheMathSorcerer  did you study completions via couchy sequences instead, or did you just never do any constructions of the reals?
    2
  30838. Honestly Spoken❣️Good ADVICE 🔥
    2
  30839. Thank you ! Which software do you use for this board ?
    2
  30840. I purchased both this and his proof (long form) books. highly recommend both
    2
  30841. Praise Jesus please pray with me for wisdom for all.
    2
  30842. Afaik, it doesn't cover trigonometry, so not. I think there's a book called "algebra and trigonometry" from the same author, which would be more suited for pre-calculus.
    2
  30843. i passed calc ab as a sophomre with ur vids, tysm
    2
  30844.  @TheMathSorcerer  Can I ask you something? Are you a mathematician in some University or are you doing independent work? (I don't know how a professional works.sorry) Do you teach? Aaaand its trivial, But I can't figure it out. How old are you?😅😅
    2
  30845.  @TheMathSorcerer  oh cool !
    2
  30846.  @TheMathSorcerer  Ahhhh yes. Hogwarts school of witchcraft and topology.
    2
  30847. Looks like a typical Navy exam for officers.
    2
  30848. Love for the help, fully sorted me out
    2
  30849. I like your videos,Sir . Your advices help me a lot. But I have a little question . When you were a student,did you get mad and nervous when you did't understand a lesson or when you failed at resolving a problem?How did you deal with that?? Because me, when l'm defeaded I spend all my day angry until I (beat) the problem.Could you please give me some tips?Thanks again🙂
    2
  30850. Well said friend, keep up the good work
    2
  30851. I hate the series sections. Had me wanting to settle for being a lawyer or something.
    2
  30852. @Lorem Ipsum Thanks for the details, Man👍
    2
  30853. I just made a 100 on my Infinite Series Exam. I could definitely pass. Wouldn't know much about true false. Interesting ....
    2
  30854. You can always take another test. Don't Panic !! :-) It occurs to me that maybe The Math Sorcerer could offer example test papers -- freely available from online -- and mark them up with comments, for a sensible fee.
    2
  30855. why does he look like hes staring into my soul
    2
  30856. As an indian, really looked up to Sir Ramanujan
    2
  30857. HELP! NEED HELP! I STOPED LEARNING AT LONG DIVISION!!! NEED HELP!
    2
  30858. Very good, thanks 👏🏻
    2
  30859. Thank you!
    2
  30860. Haha I have a professor who can not derive with chain rule a function with a square root , sad :(
    2
  30861. This whole video is very true I love it
    2
  30862. Intuitive solution
    2
  30863. I truly agree with you sir!! I came across in your youtube channel sir before because YouTube recommended it. I have watched some of your videos now, but the first ever video I have watched in your channel was about how to overcome failure, the video was published this year. It was the perfect video for me because the message really hits me, I commented on that video, you reacted to it. I keep browsing to find that comment because I just want to reply there, and share to the people how grateful I am to you. Your message in that video truly helped me, like - A LOT! it completely changed my game. I have a failing grade in my midterms in our math subject and through your video it encourages me, and somehow boost my confidence to try again, and study harder. To make the long story - short, my failing grade turns into a passing grade, i should i say more than a passing grade - it totally increases!!!! Thus, I would like to thank you sir for making those kinds of videos💖 keep making good contents sir, it really help us- students. Thank you sir, and more power to you!!!
    2
  30864. Just before I watched this video I had watched a video about Leonardo de Vinci and there are so many things in that video that are just like what you’ve been talking about!
    2
  30865. there's no finish line in math
    2
  30866. Today I withdrew from my intro to proof course (I passed the first time I took it but with a terrible grade) but I just struggled with proofs. I’m not ready to take real analysis at all for that reason. I did good in my other math courses (decent) but proofs is my nightmare. I’m hoping to get into grad school for statistics (since I love statistics). Also took some cs and mainly math and statistics with some economics. I’m hopeless when it comes to proofs. Any advice on how to get over mental hurdles of proofs and real analysis especially if I plan to get a masters in stats?
    2
  30867. Very nice lecture
    2
  30868. I'm sadden. I might lose my phone which has most math books but I'll try to get my stuff on an sd card. I would love to buy one 😭
    2
  30869. when you started the video talking about eating while showing the book cover I thought you were going to conclude that doing math makes you spherical.
    2
  30870. My mind calculation of the integral without pen is: (1/2)x^2·arcsin(x^2)+(1/2)√(1-x^4). I hope it's correct. Let's check the answer.
    2
  30871. Oh, I miss the constant which is important part.
    2
  30872. Math has made me trash entire rooms, pull my hair out, and flip desks and tables. It is the bane to my existence
    2
  30873. I've been confused by this for so long, since I've seen it in a fun integration video. Nice explanation, I finally understand why this will be 0. 😊
    2
  30874.  @TheMathSorcerer  Thank you, I've only taken calculus 1 and 2. Is that the basic calculus you mean or more is required?
    2
  30875. I am one of them.....just hang out at Barnes & Noble after work and do my math self-study(Set Theory, Complex Variables)
    2
  30876. That's a nice message! I really needed this.
    2
  30877. Excellent video! Congrats!!!
    2
  30878. Thanks, thought of this all wrong
    2
  30879. Does the Number Theory book contain topics like number fields, unique factorisation, units, norms, traces and so on?
    2
  30880. i actively work towards it everyday
    2
  30881. Thanks for the advice!! greetings from Perú!
    2
  30882. You look like Jeff Bezos if he had good hair😂
    2
  30883. I got these pens on your recommendation and I love them. Even the supposedly small things can make a difference in your journey.
    2
  30884. Love your videos, you seem super cool!
    2
  30885. This video is a representative example of how math nerds can be funny! and also a warn for your audience who are thinking to be math majors to forecast how mad they might be in the near future, i.e. posting such kind of funny videos :D :D :D
    2
  30886. I found discrete math to be harder just because of all the proofs.
    2
  30887. Man you are the best guide i've ever met. Thanks so much. And I don't know your name :(( Shame on me!!!
    2
  30888. ❤
    2
  30889. is the calculus book cover for all calculs 1,2 and 3?
    2
  30890. [thinking about the Unit Circle] ...Hello darkness my old friend...
    2
  30891. Wow! So relatable! I don't understand any of this!
    2
  30892. I love this advice ,since Im sometimes using this strategicly to learn other things
    2
  30893. My school (UMKC) used Richard Johnsonbaugh's book (8th ed) for both discrete 1 and 2. I don't think we really used the book for homework much.
    2
  30894. Algebra is just beautiful.
    2
  30895. I want to get that About Vectors book! Looks super cool & interesting.
    2
  30896. Sorcerer ! You are a prophet to me ! Keep posting regularly . You are changing lives
    2
  30897. Finally a subject I know all about. Avoid taking notes and doing exercises. Also make sure to never be in a study group. And above all, blame the teacher. If the teacher was any good you would be interested in the class.
    2
  30898. I knew it was common
    2
  30899. What do you think about I.A.Maron problems in calculus of one variable....
    2
  30900. Mir books always rock💪💪💪
    2
  30901. I read Plain Trigonometry in the thumbnail, English is not my native language and it's not the first time I misread something in this channel lol
    2
  30902. Atomic Habits by james Clear helps I do few questions a day to avoid overwhelming. When I am frustrated with slowness by doing it, I flip the pages the whole book ahead using a book called "Photoreading by Paul Scheele", because it was too curious what's lies ahead. it was really stimulating experience. yes I agree with you, slow down do a few questions per day over the years, it s lifetime journey, no rush, like you said "take your time". In addition, to sink in a little at a time from doing few questions.
    2
  30903. man, i miss this kind of problems.
    2
  30904. I love your videos man
    2
  30905. i'm literally a math student why am i watching this
    2
  30906. For the proof of theorem 2, check exercise 3. Exercise 3: prove theorem 2
    2
  30907. super🔥
    2
  30908. Kudos to Kimberly scoring 85% Marks. But anyone else ever experienced that 2% Marks situation like me?! Well I experienced, numerous times. And every time I prayed - "Please don't say my name... don't say my name...."
    2
  30909. This is a great advice! Thank you so much!
    2
  30910. EXCELLENT video!
    2
  30911. What you said about being an undergrad and going from Precalc to Calculus is great! That's what happened to me, I had all the confidence in the world with math. Algebra was easy, statistics was easy, precalc easy. Then I got to Calc 1 and was humbled immediately. I had to retake both Calc 1 & 2 and still barely passed with C's. Physics was even more humbling 🤣
    2
  30912. Bro just literally spoke for 8 minutes without blinking, he's calculating in quantum and binary📚📝✅
    2
  30913. Thanks for the video mate✨❤️
    2
  30914. I really like dy/dx!
    2
  30915. Honestly man you're videos are great.
    2
  30916. nice
    2
  30917. Okay Math Prof. I've been procrastinating studying for my Summatives for WEEKS. I have exactly two weeks to go. I shall actually attempt to study and be better. My Youtube recs are weirdly creepy but I heard this when I needed to. I guess my algorithm is sentient enough to want better for me when I'm unable to act on it. Wish me luck Internet friends, I hope to do well.
    2
  30918. only i dont think that it isnt as hard as it looks
    2
  30919. True... Failed to submit a calculus test last week coz of all that bullshit.
    2
  30920. Ramanujan was judged on the basis of his grades back then
    2
  30921. This is like my worst nightmare as a student. Imagine bombing a test, and years later someone finds it and posts it on the internet for thousands of people to see. 🙂 R.I.P. Eure, whoever you are!
    2
  30922. Excellent video
    2
  30923. the book you mentioned named "Mathematical Proofs: A Transition to Advanced Mathematics (1st Edition)" Does it matter what edition it is, are they the same? (I'm a comp sci major, just tryna learn math again since I forgot most of it once I got into college)
    2
  30924. The struggle be real lol
    2
  30925. Look at the quality of that paper!
    2
  30926. Very informative TA IS very imp to make money
    2
  30927. My topology text has no solutions to exercises or proofs so I go looking on the net. What then? Doing proofs on separation axioms drive me nuts
    2
  30928. Hi, what do you think of Joseph H. Silverman’s upcoming abstract algebra book? The digital version is out now, but the physical copy is on preorder. It’s actually reasonably priced for a new copy compared to others.
    2
  30929. Omg I know right.
    2
  30930. In my class we used Matrix Methods Applied Linear Algebra by Richard Bronson and Gabriel B. Costa. Pretty good book for beginners and learning the basics, although it doesn't emphasize the proofs as much as other books, but still pretty descent.
    2
  30931. Very good advice.
    2
  30932. Huge like! Great books! However, it would be good to do a little separation: elementary math, standard university courses, advanced/additional university courses, and books for professional mathematicians. Books can further be subdivided into areas, like: - calculus, linear algebra (standard courses); - probability theory, discrete math, ODE, PDE, complex variables (advanced/additional courses) - number theory, differential geometry, real analysis, functional analysis, abstract algebra, and topology (courses that are usually geared towards professional mathematicians).
    2
  30933. thank you for the video! i was wondering if you have any advice for undergraduate research/summer research. i am having trouble staying motivated to read all these papers that i can barely understand haha
    2
  30934. I have to buy a bigger house because I have so many books.
    2
  30935. This is so funny !!
    2
  30936. Perfect explanation sir!
    2
  30937. have long hair
    2
  30938. Jeff Bezos with wizard hair
    2
  30939. THAT IS A SEVERED HORSE’S HEAD
    2
  30940. Hi sir
    2
  30941. so peaceful wow
    2
  30942. This and all the comments are great. I'm 62 and didn't think people my age were watching this channel. Guess I was wrong 😀
    2
  30943. I think is a good idea to categorized math subjects in different fields in a video, right? for example mathematics subjects for Computer Science, Engineering, Finance ... . I really appreciated it if You make a video and go over that!
    2
  30944. Thank you for saying this it showed me what it takes to learn mathematics.
    2
  30945. Hi, i have a differential equation book by rainville, i didn't understand anything. I only learn from your video s
    2
  30946. I don't know what happened with my mind, send more formulas , as long we have the formulas we are good. God bless you a lot .
    2
  30947. LMMFAAOAOO the bald Cappppppp
    2
  30948. We only see the results of other people's work (both past and present) not how much TIME AND THOUGHT they have spent WORKING on obtaining those results. We see the final product, not the process.
    2
  30949. wohoo
    2
  30950. TAKE A BREAK (if you can)!!!
    2
  30951. Fantastic video, and what a way to digress... i forgot the video was about a pen originally.
    2
  30952. 👍👍👍👍
    2
  30953. Thank you so much it help me
    2
  30954. I think it depends on the engineering field, i mean that civil engineering or chemical engineering are easier than math, but i think mechanical engineering and electrical engineering are harder than math
    2
  30955. Thanks dear Sir/buddy
    2
  30956. Keep it up sir
    2
  30957. I live and study in Bonn in Germany (currently in my 5th year/9th semester all around or 3rd semester of the Master studies) and if you do your Undergraduate (Bachelor) in Bonn, the Master studies (which take 2 years or longer) are not much more difficult I would say. We have lots of international students in Bonn, but those are usually better prepared for the difficulty then the other students coming from German universities. However we have so many different areas that people from Bonn tend much more to become a 'one trick (=mathematical area) pony'. Also I have no clue about physics and computer science, because no one forces us to take courses from these areas. I imagine that people from the US have a broader knowledge (regarding Physics, etc.)
    2
  30958. Precalculus books? Worked out solutions book too?
    2
  30959. 👍
    2
  30960. lovely thank you
    2
  30961. How do you get help when you self study? I feel that its important to have TA's/mentors/teachers.
    2
  30962. The "being perfect" thinkig is spot on. Also fear, procrastination and laziness kill your motivation.
    2
  30963. Love These Guidance Style Videos- Spread More Esoteric Wisdom Please My Friend
    2
  30964. I love when the prof breezes through the notes and doesn’t post them so that my notes are incomplete
    2
  30965. Dear sorcerer, should I learn set theory or abstract algebra first? Thanks in advance
    2
  30966. Thank you! Very cool 😊
    2
  30967. An excellent book. Went trough all of the exercises.
    2
  30968. This is a good book , I have a physical copy .A big problem with this book is that the chapter on the Cardinality of sets does not develop enough math , so that the average student can actually do the exercises. It is the only part of the book that does develop some heavy machinery, but does not do a good job . He should have given more worked out examples in that Chapter..
    2
  30969. thank you
    2
  30970. Joke of the day. 😅 What if you can do the math, but can not do the arithmetic. Seriously though, great video. I love your recommendations.
    2
  30971. Chumbawumba was the band you were referring to in this video.
    2
  30972. I must say that till this day, this specific topic is one of my biggest mysteries or even fears. I may be using this, but cannot understand the reason behind the symbol notation of the "product". Just as "Matrix Multiplication".
    2
  30973. Spherical coordinate system is quite normal to be used in Physics
    2
  30974. exactly, idk why my highschool courses didn't carry over >.> waste of time and money.
    2
  30975. Thank you
    2
  30976. Where I can buy this book?? Thanks
    2
  30977. Nice video
    2
  30978. Thanks for your support on math sir
    2
  30979. Love your videos!! Keep it up! Btw your bird's beautiful!!! What's his/her name?
    2
  30980. Than you! You help me to solve lim x->o x sin(x)/(1-cos^3(x))
    2
  30981. amazing thanks!!!!
    2
  30982. When I don´t undersand I always try to find the answers online. And then I take a walk while thinking about it, and often while I walk it just "clicks" and when I get back I suddenly understand and then I move one. After a while I think about the problem again to make sure it stuck. If I am still a bit unsure I repeat it in my mind and then it sticks (programing it in). And when it does I can bring it out and see it in my mind almost like having a cheat sheet inside the head.
    2
  30983. or any link of complex analysis topics ?
    2
  30984. That was pretty funny
    2
  30985. l love the universe.
    2
  30986. I love man.
    2
  30987. Ur way of teaching is amazing.
    2
  30988. This is relatable, thanks for the motivation
    2
  30989. Simple but effective reminder, thanks TMS
    2
  30990. I love you.
    2
  30991. Thank you, your videos are exceptionally inspiring!. I want to ask if you are able to explain what is inverse problems in mathematics. Thanks
    2
  30992. This is great! What do you think of these two book for non-mathematicians? The second one is more oriented towards social sciences, and the first one is for sciences in general but a little bit more inclined towards neuroscience and psychology: https://www.springer.com/gp/book/9783319573533 https://press.princeton.edu/books/paperback/9780691159171/a-mathematics-course-for-political-and-social-research
    2
  30993. Thank you man you are a life saver!!!
    2
  30994. Yes, I should be doing this..later.
    2
  30995. Thanks man 👍
    2
  30996. Hubiera hablado en español y ese libro estará en español
    2
  30997. I’m with you on smelling the books. I’ve always thought the texts smelled nostalgic
    2
  30998. I love math but I can't buy thoose books it's too expensove for me.
    2
  30999.  @TheMathSorcerer  that's why I choose to buy used books 😅
    2
  31000. Speed is something i must have unconsciously known to aim for in High School and havent done it since altho always have been extremely quick in exams. Out of a 3hr exam, if im not done in an hour, im taking too long lol
    2
  31001.  @TheMathSorcerer  thank you. Great YouTube channel and thanks for sharing your knowledge
    2
  31002. I have an crazy idea ... hear me out. Since you get hundreds of thousands, or even millions of views in your videos, why dont you buy a few cheap used books (< $10 bucks) and then promote them as if they were the holy grail of their respective topics. Before you realize it, you will begin to see $200+ bids for them, and you will be making 2,000% + profit out of each one !! Isn't it crazy?!! ... Oh wait, ... you just did, didn't you?
    2
  31003. In which order, should i read these books : dan saracino, john b. Fraleigh, gallian, beacy and blair, i.n. herstein ( topics in algebra )
    2
  31004. Ngl but this really helps. ✅️
    2
  31005. Or from 2:37 we could say that. -2<+L>0 wich is actually a contradiction itself and in that way just with this we know what we expected (convergent) is not posible. I am form Argentina so I can’t write it properly for sure but I wanted to know I’d that other way could be enough too. Very good the proof on this video ! Thanks :)
    2
  31006. I bought this at my school a couple weeks ago and I haven’t gotten a chance to give it a read yet, but I’m excited!
    2
  31007. why is the 3 positive in 2*cos(3t)? Cos is s/s^2-k^2, and in the problem we have s^2 + k^2. I know you're right Im just wondering where I am messing up
    2
  31008.  @TheMathSorcerer  thank you!
    2
  31009. Nice video Terry Silver 🙃
    2
  31010. Sin dudarlo que gran canal, mago de las Matemáticas, esta vez lograste tocar el corazón, lindas palabra. Ademas de Matemáticas, este vídeo me ha tocado el corazón, me has enseñado mucho con tus vídeos, no sabría como agradecerte, voy a recomendar tu canal, eres de los pocos que son capaces de compartir sus conocimientos y compartirlos con gratitud, y dando lo mejor de ti, tu paso a paso, me diste una enseñanza de vida, gracias...You are an excellent person with love and patience, nothing is impossible. Try it again. Fail again. Fail better....
    2
  31011. You are the BOMB!!!!!! Thank you so much! SUBSCRIBE
    2
  31012. It troubles me that the ceiling is at an angle to the top book. You need some small books to fill in the gap.
    2
  31013. dude no way you taught me this in two minutes when i couldn’t understand it in my entire year of algebra 2
    2
  31014. That was hilarious! From hero to zero in a quick flash between student and nerd... priceless! My friends, growing up, considered me a nerd.
    2
  31015. Great thanks 🤍🤍🤍🤍🤍🤍✨
    2
  31016. All these days I've been thinking you looked like someone and BANG ! bezos it is xD
    2
  31017. Lord Byron
    2
  31018. Very useful, thank you very much Sir!
    2
  31019. I read Emil Artin's monograph on the Gamma function, which was pretty cool. Haven't got around to his on Galois theory yet.
    2
  31020. Engineering is applied science. It means they learn how to use mathematics and physics to solve the real problems. Engineer does not deeply understand the philosophy behind mathematics and physics. To understand the way of invent those theory of mathematics and physics is also the harder.
    2
  31021. I think I will check this one out. Taking Real right now. So much suffering haha
    2
  31022. Identify the easiest questions. Do those first. Get those done first as quick as you can so that you have more time for the tougher questions.
    2
  31023. Thank you Sir
    2
  31024. watching this rn instead of studying for math exam
    2
  31025. But bro it's like 10 pm I wasted the whole day so i may as well start tomorrow? Ok imma put this video up and watch it again first thing in the morning
    2
  31026. Don't rely on calculators or equilvalents unless it is absolutely necessary.
    2
  31027. This video was soooo awesome 🤩🤩. Please make a part 2!!!
    2
  31028. very clean didn't confuse me when i wrote down and try it by myself !
    2
  31029. To me, books are like very good old friends, I hate to write on them or see that people do not treat them with the respect that an old friend deserves. When I buy second hand books, I always make sure that they do not come scribbled. If Ifeel the urgency to take notes, I photocopy the pages that I need and make notes on them. Anyways, take care. ✌😲
    2
  31030. And another important thing: DRAW IMAGES! Or look up images online, it will make it alot more fun and you might get insights to how to solve a problem.
    2
  31031. lol i tend to do that but while looking up images i tend to get into this rabbit hole of searching up and reading about waaay advanced topics like tensor calculus and quasilinear partial differential equation.
    2
  31032. THANK YOU!!!!!!
    2
  31033. we have similar student book in Russia in 10th grade…
    2
  31034. A video about all of your Dover books would be great.
    2
  31035. great example. Thank you!
    2
  31036. These talks are so vital, thank you for the inspirational/motivational speech, professor!
    2
  31037. I have one from the same series but from 1986, and is hard cover.
    2
  31038. lovely video
    2
  31039. This is the solidest advice I ever got I think.
    2
  31040. its mind blowing thank very muvh
    2
  31041. Great advice, as always! You left out a few words before, "practice." YEARS OF practice. Another word: PERFECT. Years of perfect practice are the irreplaceable key to becoming really good at anything - - even and especially our wonderful abstract scientific discipline, mathematics. It is a long-term commitment, each new skill built upon all previous. There are NO shortcuts. The journey is the reward. 😎
    2
  31042. Other people have pointed out that I deal with failure by buying books and enrolling in online courses.
    2
  31043. Jeff?
    2
  31044. Pls for calculus for high school.
    2
  31045. OMG, this is hilarious 🤣 Good job 👌 This is what some of my high school teachers were like. Fortunately the ones in my college are way better than that in that they really try to help you out, and your grades actually depend on the knowledge of the subject instead of the sympathy (or in my case apathy) they feel for you 😅🤦‍♂️
    2
  31046. I like a book with solution and explanation because there is no one to explain
    2
  31047. You need more TEEEEEAAAAA!!! And you need to walk
    2
  31048. Just jumping in to second your recommendation of your abstract algebra course - I’m in a slightly different position in that I embarked on a math undergrad degree and was totally unaware of how much I suck at proof. Real analysis is fun and more intuitive for me but abstract algebra has been hell, lost in confusing symbols, and whenever I think I get something I soon learn I really don’t - your udemy course has been dragging me kicking and screaming through my abstract algebra class at uni and I’m currently passing (nothing short of a miracle if you saw my grades at the beginning of the class!)
    2
  31049.  @TheMathSorcerer  I perfectly understand that you need derivatives to solve ode's, I just said it was stupid to list it, as it is already obvious you need them to solve ode's.
    2
  31050. I love your videos in this physical paper pencil format , this was aswm
    2
  31051. I love your channel man 😭 Your advice is always makes me feel better and back into the loop of things, thank you!
    2
  31052. Thank you very much for uploading regularly, The problem may or may not be related to my syllabus. But I would thank you for the efforts of you're putting in. Keep up the good work 👍
    2
  31053. Please a video on geometry books sir 🙏🙏
    2
  31054. Hey man, been watching since starting my studies last semester and your videos have always offered me some comic relief in regards to math, especially since I've only just started studying math again since High School. I've got a question for you: I've found myself in a Biocalculus class, which is basically Calculus 1 with lots of Biology concepts thrown in, and it's made me realize that my precalculus is crap. Do you have any books/resources you might recommend for someone in my situation? My biggest issue is time. I need to basically review/learn precalc whilst keeping up in my current classes. Any help and feedback is appreciated! Thanks a bunch and looking forward to more videos!
    2
  31055. Thanks for this vid. It helped me a lot <3
    2
  31056. Me an absaloute idiot: don't worry fellow math nerds I am working hard to defeat the third reason not to study math by merely existing.
    2
  31057. Make videos on how to teach maths ...very rare content on youtube
    2
  31058. Thanks!!!!
    2
  31059. Nice video making abilities
    2
  31060. OH that is the cutest birdie! what a lovely study buddy! Thanks so much for sharing this, I am one of those folks that learn math so slowly.
    2
  31061. I like this hairstyle!
    2
  31062. This is so awesome and inspiring, I think I might have to make a video of my physics book collection. Thanks for the video!
    2
  31063. Good video!
    2
  31064. Now I believe that I can finish Serge Lung's Algebra. And I don't even have a (math)degree.
    2
  31065. All those books..... gaddamn intimidating......
    2
  31066. Yeah but if you can learn pure math you can use it in other courses. Business is a breeze to a pure math major. The only hard part is the socializing, but eventually comes with it. I used math in my psychology and philosophy elective courses, it allowed me to find the most efficient way to do something. Also, it has served me well in crypto, although I am no big crypto guy, just a few smalls wins here and there
    2
  31067.  @TheMathSorcerer  o thanks! Actually the version sold in our country (India) are very cheap. But all the contents are same. It's a awesome book
    2
  31068. Let's not call it the entire Computer Science!
    2
  31069. Ooo
    2
  31070. I think Euler is a good role model because he keeps doing math even though he lost his eyes.
    2
  31071. Hmm differential geometry.
    2
  31072. Can you suggest a book for me to work on it?
    2
  31073. Ok I'll check it out, thanks
    2
  31074. This is a cool video! And funny too 😃 FULL EMERSION ♥️
    2
  31075. Actually, most of what he is saying is jibberish and hardly makes sense.
    2
  31076. I used quite a bit of linear algebra in my differential equations course. Surprised you have linear algebra after differential equations
    2
  31077. Big Chief is jacked!!!
    2
  31078. 🖐I'll check it out. Yeah It's a rare book. Interesting one indeed. Thanks brother. 🤜🤛👍
    2
  31079. Greetings Mr.Math Sorcerer, Ok.. Good.. Thanks.. Take Care. With regards, RanjithJoseph (R J)
    2
  31080. Thank you so much for curating this masterpiece!
    2
  31081. Hiii Man, you are awesome, ty ❤️
    2
  31082. In my country, an individual needs to complete master program before continue to Ph.D peogram.
    2
  31083. I really needed this video sir! Thanks so much!
    2
  31084. Isn't there an issue with this formula for directional derivative if f isn't differentiable in the multivariable sense*? This can happen if the directional (in particular, partial) derivatives aren't continuous. Take, for instance, f(x,y) = x^2y/(x^2+y^2). Even though f is continuous at the origin, it is not differentiable and, indeed, the directional derivatives aren't given by the chain rule with respect to the "gradient." *There are a few ways to phrase this. However, my favorite formulation of differentiability is: If f(x) = u(x)(x-a)+f(a) for x in a neighborhood of a with u continuous at a, then we say that f is differentiable at a. In the multivariable case, u is a matrix.
    2
  31085. Best advice I could have heard right now (…and I think a pretty good life lesson too:-)
    2
  31086. Another problem with college in this country is the fact that employers and colleges do not respect independent study (self education) in things like law, physics, and mathematics despite the fact that with today,s technology and with libraries it is possible to self study law, physics, and mathematics to a level that Is equivalent to someone who has gone to college.
    2
  31087. Hey sir, i hope you have a great day i would like to ask you something, what is the best way in your opinion to to memorize math and not forget half of the class after the test? im really having a bad time proceeding to the next classes because of it sorry for my bad english :)
    2
  31088. Third
    2
  31089. Is this book also for a person like me that I have been away from maths for many years but would like to exercise my brain?
    2
  31090. 👍
    2
  31091. Nice book I need
    2
  31092. Not a single number was mentioned and my brain feels knotted. 😭
    2
  31093. Very nice review :) I’m gonna buy it! Thanks 🙏
    2
  31094. I had same question. I get stuck very easily on a problem
    2
  31095. To give time for study u need to be able to get out of ur comfort zone for some people who became lazy because of how they feel comfort in being lazy
    2
  31096. Best teacher ever😭❤️🙄❤️❤️❤️😘😘😘😘😘❤️❤️❤️❤️❤️❤️❤️❤️❤️😭😭😭😭
    2
  31097. Would you say investment banking, private equity and software engineering are the main career choices for math grads
    2
  31098. I found the personality created finger print cards of George MacCheyenne and his wife (Georgetown) in a used calculus book.
    2
  31099. this guys awesome lmao
    2
  31100.  @TheMathSorcerer  . Appreciate the reply, thank you. Yes, but with a Taylor or Mclaurin series any degree of accuracy can be obtained. Just to clarify, are you saying that this method is used when the differential equation cannot be solved or solved easily ? Thanks again.
    2
  31101. Yes, he turned in your homework, but prof thinks YOU turned in HIS!
    2
  31102. Go to your Professor's and TA's office hours; few students use those opportunities. Also, get connected with or form a Study Group with classmates. Doing the work is an individual effort, learning is not.
    2
  31103. Nice video Love abstract algebra
    2
  31104. This is amazing 😻
    2
  31105. May the force be with you.
    2
  31106. Do you ever reread books to grasp concepts better?
    2
  31107. Hi, are you Steve Wiggins who works in dynamical systems?
    2
  31108. Simplifying is fun.
    2
  31109. I like it
    2
  31110. My favorite favourite ❤❤❤❤
    2
  31111. You should check out the calculus books in Portuguese written by Guidorizzi, also the real analysis books written by Elon Lima. I never found a book in English that is more elegant, formal and well written than those.
    2
  31112. The Math Sorcerer awesome!!
    2
  31113. Great interview. Honest outlook, which I appreciate.
    2
  31114. Hey, Sorcerer. Do you think this edition has the pages thick enough? It happens that I bought the Cambridge Press 3rd edition and pages are too thin. You can see through them what there is on the pages behind and it is so annoying. Do you think this is worth to try to refund the 3d poor edition by Cambridge and get the print by Publish or Perish? Excuse my English and thank you in advance.
    2
  31115. Calc 2 💀
    2
  31116. When you say huge troll does that mean you're a trundle main?
    2
  31117. Nooooooo! This is great but I need 7.6 :'( I'll definitely come back before the final.
    2
  31118. Math is very humbling
    2
  31119. Math always amused me, didn’t have good teachers and i am not a good student either xD, but getting out of that high school feeling of being crushed it, now i want to learn it I really like solving problems but at my own pace i spend like hours on a single problem purposely trying it different ways, only thing held me back when i was in school from going for math is world has no time for my slow ways , but i am really inspired by this video ❤️
    2
  31120. Can you review the book "Godel Escher Bach"?
    2
  31121. Tahnks
    2
  31122. Do you realize that you look just like Newton?
    2
  31123. Yes I have way too many ideas sometimes I feel like I have ADHD
    2
  31124. Turn-off all of the electronic distractions that we are surrounded by.
    2
  31125. Yes.
    2
  31126. How to prove it has a third edition. All the math ... has a second edition.
    2
  31127. Thank you
    2
  31128. Lmao
    2
  31129.  @TheMathSorcerer  Thank you so much for the answer 😃
    2
  31130. This is a good video for those of us who have always assumed smart people never fail.
    2
  31131. You look like a hippie Jeff bezoz
    2
  31132. Thank you so much for this. Took months before I've understood. I should've discovered this channel earlier. :((( Subscribed and shared to mg friends! Thank you
    2
  31133. 1 had disks/washers for me lmao
    2
  31134. Real Analysis
    2
  31135. School is completely the opposite. Professors teach you some properties and formulas but they don't think on telling us we have to demonstrate them to have completely free use of it. Theydo not even think on making us try a little bit before they do it. It's just: "Hey you, A(B+C) = AB + AC. Now use this property to solve the next 20 exercises"
    2
  31136. Love this! I'll be reading some measure theory stuff today
    2
  31137. Very Nice!!!!!🌿
    2
  31138. Words of wisdom!
    2
  31139.  @TheMathSorcerer  yea I had to go away during your class for military training, finally decided to start over and definitely enjoying math now and watching your videos helps tons!!
    2
  31140. First
    2
  31141. Love this video man, chilling.
    2
  31142. Thanks sir 😊 very halpfull
    2
  31143. 3:12 - 3:21 First shelf has book on “Predatory Dinosaurs” 🦖 to the left, a couple of books away from the farthest left…. Little touches like that take this post from ‘pretty funny’ to S-Tier funny 😁🤣😎 Like Iron Maiden’s “Somewhere In Time” album, But for math humor instead of metal music… Freakin’ awesome! Love it! Cheers!!! …
    2
  31144. I am letting the ads play out to their end, so that you get paid and make more videos. The first ads is now running for 20 minutes approx. Long wait before its end. Well worth the wait.
    2
  31145. i ate some pie?
    2
  31146. Yubi yubi
    2
  31147. Thanks for motivation.......thanks so much, i completely mean all your words. And adding thi video in my personal playlist.
    2
  31148. the man who emailed you is now my acadmic crush i wish my message will reach to him may be he could try to go out in nature under a tree where no one goes nature have a lot of positive energy
    2
  31149. I'd like to see you comment on Sheldon Axler's recent book on measure theory.
    2
  31150. Lo veré en español y en inglés. 🤣👌
    2
  31151. Is that high school level?
    2
  31152. Perfect timing. Just left intro to analysis class, not sure I understood one word. Thanks!!
    2
  31153. oh, you are a wonderful man. Mrry xmas :D I use to study books from the begining to the end, triying to not skip any topic. But that is not really an "obligation". It is funnier to jump between topics that study "linearly".
    2
  31154. Hey math sorcerer where do you teach? Love your calculus lecture series btw.
    2
  31155. I love these videos!
    2
  31156. Can't find this book anywhere 😒
    2
  31157. I have this book [physical copy] and all other Joseph Edwards Calculus books. Everything written by Edwards in Calculus is so much fun to read, better than newer books I have like Thomas and Finney, don't know why !
    2
  31158. a very complicated matter with a simple recipe: for self-study use your native language but for a career study english first and then math.
    2
  31159. This helped! Thank you :)
    2
  31160.  @TheMathSorcerer  Of Course! I generally don't film myself, but I can do it for whatever homework I end up with tomorrow from Proofs
    2
  31161. YT suggested this after I had a conversation with a friend on WhatsApp, motivating each other to study for the test we have in 9 days. Weird.
    2
  31162. This guy doesn't blink
    2
  31163. Your how to learn math start to finished lead me to your channel and this video
    2
  31164.  @TheMathSorcerer  It was on the top of my feed because I watch most of your videos that pop up since I have subscribed many years ago when you had maybe around 50k subscribers. A long time apprentice of yours, here. Really appreciate your wizardry.
    2
  31165. Calculus 3 is the hardest because of vectors and the mid-mass rule.
    2
  31166. Liked it, it's one the most important points that is absent in many people's life👌
    2
  31167. Excelente. Obrigado.
    2
  31168. I read Emanuel Derman's "My life as a Quant" whilst taking some finance courses. Up to now i thought that athletes enjoyed a particular quality of life that us other people will never enjoy. After reading the book i realised the same applies to people studying and achieving higher knowledge in mathematics. I'm still unsure whether i can contribute to the field, or in simpler words: i do not know if me of all people has any business studying mathematics, but for now i'm doing it for the thrill of it and the challenge it poses. Worst case scenario, i will turn out average. Still i will have learnt quite a bit of mathematics and that for now is enough for me. By the way some of your most recent comedy videos really hit a spot, i re-watch them here and there and they always provide a good laugh. Cheers!
    2
  31169. I'll watch this a thousand times in january
    2
  31170. My god your wallpaper is beautiful.
    2
  31171. Thank You ❤️
    2
  31172. How hard is maths?
    2
  31173. ❤❤❤
    2
  31174. Lets gooooo! a new Math sorcerer vid! Woo Woooooo
    2
  31175. I really wish you were my professor, darn. Literally my favorite youtuber!
    2
  31176. Always in for some quick maffs, innit? ❤️
    2
  31177. damn dude now tgats a math teacher. let's get to learning Prof.
    2
  31178. "Excercise to the reader" 😑
    2
  31179. Most bachelor programs at universities are three years long; however, in the US, most bachelor programs are four years long. Do you think that US undergrad mathematics courses cover the same material as those of other universities, but in a longer amount of time?
    2
  31180. I have no clue what is happening but maybe if I listen to it enough it will be engraved into my brain
    2
  31181. At 05:38 "This book is special to me" . This book is special to me too. This was the textbook for my first proper course in Abstract Algebra, which I took at the University of Queensland in Brisbane ,Australia a long time back ... I can't remember when, but it must have been in the 90_s. It's a great book for learning.
    2
  31182. Why's it so much money. I'm broke lol
    2
  31183. The thought of mathematics does NOT fill me with joy.
    2
  31184. Tqq sir
    2
  31185. So accurate LOL
    2
  31186. thank you! YES YES YES!
    2
  31187. Hey just wanted to add that the book "Algebraic Structures" is now called "Undergraduate Algebra"
    2
  31188. I have a copy of that book from my dad, actually
    2
  31189. Only 2 pages for a solution + Dixon Ticonderoga pencils = BAMF!!
    2
  31190. books on high school maths, or maybe a video to learn all high schools maths as a review if you forgot eveything
    2
  31191. A lot of kids seem to have some sort of fear of math drummed into them from young age. I'm not unsure where this comes from but it's definetly there and it probably shouldn't be like this. Does the way it's taught affect ability? Do certain stereotypes play a role? Do kids categorise themselves and does this affect performance?
    2
  31192.  @TheMathSorcerer  Now, function limits, continuous functions
    2
  31193. more of these math comedy videos
    2
  31194. awesome, dude!
    2
  31195. awesome, dude!
    2
  31196. Funny video 😝👍
    2
  31197. Thank you very much for your guidance
    2
  31198. Linear algebra - gilbert strang :1
    2
  31199. you should really make a podcast! i would listen to it
    2
  31200. Hello, have you reviewed Differential Calculus on normed spaces: a course in analysis by Henri Cartan? Would love a video
    2
  31201. BIG THANKS TO YOU, MATH SORCERER! BTW, I've bought your cal 2 and 3 courses on Udemy, but now I'm getting stuck in differentiating the inverse trig function in terms of cal 2. I've self-studied through the cal 1 and understand the concept, but I have no idea how to study cal 2, where it feels like just manipulating all the algebra, log, and trig techniques around, hence I don't know when can I move on to next section or chapter. Do you have any advise for me? Or should I go back to learn trig again? I use Larson one.
    2
  31202. This is different from what I expected. This is new to me. I originally thought the bar above z was to indicate conjugate, unless I am mistaken.
    2
  31203. Good point. And about time, everyone is different.
    2
  31204. You are indeed a sorcerer sir
    2
  31205. Great tips!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
    2
  31206. Isaac Newton living again as the Math Sorcerer
    2
  31207. Hi, in Morocco in the second year of highschool you have to choose maths or physics ... and if you choose maths, you will see what student see in the second year of uni in "somme country" the strange thing in morocco is when you choose maths you will study also physics and it was more difficult than the classes of people who chose to major in phosics but I realy enjoy the math in my highschool it was very abstract as if I was in uni
    2
  31208. wow I like it
    2
  31209. Does abstract algebra have any applications?
    2
  31210. THANK YOU THANK YOU THANK YOU!!!
    2
  31211. Ask Questions in class. Well if you cant do it Just use piazza.
    2
  31212. Review on Thomas calclus plz , and i tried learning c from that book u said u learned it from it , i cant learn from it it's a little advance i think for total beginner , and review college algebra by jerome e kaufman
    2
  31213. I totally agree with the "struggling argument". When a teacher explains something in the blackboard it looks so easy that is not even worth the time. Having the answer (with the process) gives the fake sensation that it is easier than it is! But this is if it has the process. If it only includes a final result, could be okay to at least check if what you have done is okay or not.
    2
  31214. Is a good GRE score more important than GPA? For instance, let's say someone has a 3.0 but had a perfect GRE score, how much do you think this would balance out (this is for anyone to answer)
    2
  31215. Be Sure To Drink Your Ovaltine. Helps with Math study
    2
  31216. How we use it for cheaking more than three function like 3 or more
    2
  31217.  @TheMathSorcerer  also make a separate for critical points stationary point point of inflection
    2
  31218. Hello, any opinions on Abstract Algebra by Derek J.S. Robinson? Regards
    2
  31219. Are you a math prof?
    2
  31220. Mid publisher's can now be found online not as good as the physical book but still it's there thank you for your input good utube video grendel.
    2
  31221. I want to know what you think of Robert A.Adams and Christopher Essex's Caclculus: a complete course, and I also want to thank you for the great material you produce and the sources you share
    2
  31222. GREAT MATH TEACHER
    2
  31223. 41 getting my Masters in mathematics here... Sometimes you can find free copies of text books and college lecture notes online too. I do a lot of cross referencing my actual text books with others so I can get a different perspective.
    2
  31224. I've always thought math was my favourite subject. Right now, I'm not improving at all in competition math and it's beginning to make me feel like I should quit pursuing math. Any advice on situations like this?
    2
  31225. Yes it was helpful thank you very much sir.
    2
  31226. "if you're watching this video you will probably take calculus in college..." lol I'm so flattered I'm still trying to learn algebra 1 and im just here watching from afar.
    2
  31227. Diego Capuzotto.
    2
  31228. wow what a great video. you just made my life way easier.
    2
  31229. The answer to the question is NO!
    2
  31230. You're not dumb some people are just better at thinking than you :)
    2
  31231. 'i condiser myself a pretty average intelligence person' says the Math Man in gradschool
    2
  31232. From India
    2
  31233. please come to Ethiopia, I would love to see you here.
    2
  31234. Nice explanation :)
    2
  31235. Thank you so much
    2
  31236. Very cool
    2
  31237. Haa anyone ever told you that look like Isaac newton?
    2
  31238. I was just scared from the chapter "ALGEBRA" and he has a whole book thicker than my Mathematics Book of Algebra.
    2
  31239. And now I am sure that I can motivate my students "Do not Be afraid of maths❤ from Nepal
    2
  31240. Nah just a little bit every month over a long time horizon.
    2
  31241. I laugh but really I'm in pain
    2
  31242. Elon Musk lol
    2
  31243. Jeff Bezos 😮
    2
  31244. LaTeX
    2
  31245. Thank you so much!!
    2
  31246. this is not strange
    2
  31247. I want to get better at math but I just don’t think I’m smart enough I want to be an engineer but the way it’s looking I don’t even know if I’ll pass high school school i’m 18 and I don’t even know algebra one I don’t have enough time to study now pretty soon i’m going to have to get a full-time job hopefully I’ll pass high school and afterward learn a trade or something
    2
  31248. Don't forget, that math is also fun. 😉
    2
  31249.  @TheMathSorcerer  i know u.already did a lot...but would you mind to do one for whole math...like not just calc but the whole math mastery from scarch...i really wanna master math...and as a high school student i really Don't know which books should i start with..or i kinda need a road map.....of books. So if you can, please do one on this.,..❤️❤️❤️
    2
  31250.  @TheMathSorcerer  oh, thanks a.lot again.,I'm sure It'll help me out....and please keep.going with these videos.....❤️❤️❤️
    2
  31251. Does anyone else feel he looks like Jeff Bezos?
    2
  31252. This is so great. Thanks!
    2
  31253. I think i could pass it
    2
  31254. love the content
    2
  31255. The Math Sorcerer has got a bit of the Isaac Newton look
    2
  31256. I've given up on "pure" mathematics a very long time ago. Not because it's hard, but because it's wrong. How can I say that pure mathematics is wrong? Hasn't it proven itself historically for eons? The answer to the second question is no, it hasn't proven itself. To the contrary it has actually proven itself to be wrong. Our Mathematical Formalism holds that the number line is a continuum. How silly is that? What is a number line other than a collection of locations we consider to represent numbers. Question: is there a gap between each number? Necessary answer; ' 'yes'. After all, if each number represents a location on the number line, then if there is no gap between the numbers, this would necessarily mean that all locations are the same location. The entire number line would then necessarily collapse to a single point. So to postulate, or create an axiom, that demands that the number line is a continuum is a self-contradictory idea. Any meaningful number line must be discrete and quantized with a gap between each number location. But pure mathematics demands that the number line is a continuum. So it's already clearly wrong. Mathematicians believe they have shown that there must necessarily be infinitely more irrational numbers than rational numbers. Again, based on faulty reasoning and premises. To begin with, it doesn't even make any sense to define an irrational self-referenced quantitative relationship as a cardinal number, or to claim that it should have a specific point on the number line. In fact, mathematicians aren't even aware that every conceivable irrational non-commensurable quantitative relationship can be shown to have arisen from a non-commensurable self-referenced relationship. They aren't even aware of this because they have chosen to wrongfully define irrational non-commensurable quantitative relationship as "cardinal number". So they've locked themselves into a logical fallacy by creating this unwarranted definition. More recently, historically speaking, mathematicians have fallen into the trap of embracing the ideas of Georg Cantor's empty set theory and the idea of difference cardinal sized infinities. There simply is no need for this. One concept of infinity is all that is required. It's simply the concept of an endless process. And no process can be more endless than any other endless process. So the need for multiple infinities isn't even required. By the way, I can demonstrate why Cantor's diagonalization proof fails miserably. But don't expect me to do this in a YouTube comment. In fact, it's best seen via a graphic representation. I could point to several other serious problems with 'pure' mathematics as well, but this is just a YouTube comment. Finally, let me explain that this comment is not a rant against pure mathematics. It's just a statement of facts. I actually love mathematics and use it all the time. Much of mathematics is indeed sound once all the obviously false claims and axioms are recognized and tossed aside. As a computer programmer I use mathematics all the time. By the way, as a computer programmer it's impossible to use an 'irrational number'. They simply don't exist in the real world. The best you could ever hope to do with a computer is use a finite rational approximation. Question: Can you draw a square with a diagonal through it on a computer? Can you draw a circle with its diameter on a computer? Clearly you can. Yet, according to mathematics both of those objects require that irrational numbers exist. Yet a computer can't even deal with such an ill-defined object. So, this should tell you that irrational numbers aren't all they're cracked up to be by modern day mathematical formalism. We don't live in a continuum. We live in a quantum world. No need for any irrational numbers here. Such entities can't even exist in our world if they wanted to. Again, no rant here. Just truth. Go ahead and learn mathematics, but don't fall into the trap of accepting every axiom as though it represents some sort of gospel truth and cannot, or should not. be challenged. In fact, I wish modern mathematicians would step up to the plate and start challenging some of these out-dated mathematical definitions and axioms. Nothing would be more exciting as far as I'm concerned.
    2
  31257. ​ @TheMathSorcerer  Ow yeah ofcourse, we basically do the same thing (your way might be a little faster tho) ;)
    2
  31258. Accent mean nothing, best maths teacher I ever had has a super strong accent
    2
  31259. If the teacher isn't passionate about teaching, then the student will also not be interested in learning . My interest in mathematics arised when I started studying from youtube and on my own too.
    2
  31260. Why am I getting this recommendation? :/
    2
  31261. Very good advice
    2
  31262. Nice video study life 💗💗💗💗 students all love you 💓💓💓💓.......
    2
  31263. Trying to learn Calculus so I can go to college for Computer Science.
    2
  31264. ' you can learn graduate level abstract algebra ' - that is the dream
    2
  31265. Nice video sir:)
    2
  31266. LOL! I was just at the tutoring center today doing square root problems. Great square root problem you picked and worked out for us. Mucho Gracias Amigo! 🤠
    2
  31267. Hi all together, focus on your skill. Talent comes natural. 😊
    2
  31268.  @TheMathSorcerer  Oh, ok. Is that your videos are always on my recommended videos but they are always about math books. I ll check your math videos.
    2
  31269. Who else was smelling an old book in their mind
    2
  31270. He looks jacked tho i think that’s great
    2
  31271. thanks
    2
  31272. Let's do this. I did my own history research to understand more about math and am learning with khan academy. I am the type of asperger that needs history and a why to do math. and my goal would be to get into calculus it is the biggest dream i have and goethe said i could do it. So il listen to that guy instead of pessimists.
    2
  31273. Thank you. Very well said! Notice that no one thumbed down.
    2
  31274. How many days it will take
    2
  31275. Thank you, this helped with the GRE.
    2
  31276. you mentioned no one knows the secret to breaking the market. Are you familiar with Jim Simons founder of Renaissance Technologies? If so, do you think he has come somewhat close to achieving this goal? I have seen multiple numbers claiming his fund has a ROI upwards of 50%. One source claimed 66%. Curious what you know and think of Jim as he is also a mathematician. Great video as always!
    2
  31277. Thank you once again! 😁
    2
  31278. Serious question, how are the t shirts, are they comfy?
    2
  31279.  @TheMathSorcerer  Yes the math sorcerer shirts lol!
    2
  31280. I feel much more energized the day(s) after, but totally wiped out on the same day of the training. Sadly :')
    2
  31281. The first thing to look for in a math textbook is the way the ink looks
    2
  31282. I agree I believe its about timing. It took until I was about 13 going 14 years old until maths actually, properly clicked in my head. I used to hate maths. Struggled with understanding, I managed to get by but I hated maths regardless, it made my brain ache wrapping my head around everything but at some point when I was 13/14 it sort of all just clicked to me and I was suddenly understanding maths much quicker and very easily and made improvement very quickly withing the next year of school 14/15 years old. Algebraic concepts that I found difficult for the longest time became a breeze. And I love maths now. It just took time for me to get to that initial point of understanding. Now concepts come to me quickly (as with science which has always been easy for me)
    2
  31283.  @TheMathSorcerer  oh yeah, I saw the calc. but, I never had to use it... lol. Every problem had a straight and to the point formula you could use. The only reason I know that, because someone showed me. ;-)
    2
  31284. First
    2
  31285. Is there a similar book for complex analysis?
    2
  31286. Thanks a lot! I love your videos ! Very helpful ! I love every single video!! warm regards from Germany
    2
  31287. Which part of the statement "not for domestics" didn't you understand? Punishment for touching this book, Firing Squad! 🤣
    2
  31288.  @TheMathSorcerer  ok thanks for knowing me and keep the good work man
    2
  31289. Tq ...tq ..tq so..... much. It helped a lot..tq❤️❤️
    2
  31290. One of your best. Thanx
    2
  31291. Nice. Ty
    2
  31292. I agree with the Math Sorcerer, BUT if you haven't gotten to grad school yet, or if you're there and you're having a hard time, I would suggest you watch the following video. A big part of grad school is becoming a colleague of the professors, and if you don't realize that, you could be in for big trouble. I got my Master's degree, but it was like pulling teeth. I started on a doctorate, but I dropped out pretty quickly. I couldn't put my finger on what was wrong at the time, but now I realize that my worldview conflicted with that of the professors so much, there was no way I was ever going to succeed in academia. That's probably less of a problem in mathematics than in most other fields, but the landmines could be there as well. https://www.youtube.com/watch?v=uBlxKP1sUu0
    2
  31293. Can I find same edition 2th if I'd there please let me know?
    2
  31294. I failed math interview to university. Came here to cure my depression.
    2
  31295. i forgot to mention about high school, brazil is in insignificant in therms of high school, public high schools in brazil are jokes, to have a good education you need to "do by yourself" or go to a private high school. And this is the fun of the system, usually poor people don't go to a free public college because they came from a public high school, and people who have a good education in a private high school ( which usually are people with more money) go to a public college for free.
    2
  31296.  @teteucontagemmg1  i didn't know that portugal has a good bibliography on math, usually we use stuff written by some professor on USP or IMPA, like the Elon book for real analysis. Where you study at ? I've been taken those american books once but all of them seem to be too shallow for calc classes here, i do know a book for linear algebra called Linear Algebra Done Right by Sheldon Axler, which is really good and takes the whole linear algebra stuff, from the start to end. In default we used the Elon book on linear algebra but i really don't like his books, he just make things hard to understand for no reason. Kind get a preconception on IMPA books, everything they done seems to be more hard than need to be.
    2
  31297. Everything in this world operates in maths but I hate it regardless.
    2
  31298. Dude you like Bezos but with hair, awesome video btw!
    2
  31299. Thanks Algebro
    2
  31300. I am from India. ❤️ Your video s
    2
  31301. Great
    2
  31302. The reflecting is so important! Most of the times I skip this step and get busy with the next problem, which I'm trying to change.
    2
  31303. please use stone in focus as a background song, it would turn your motivational monologues into 10/10 motivational pieces. please! ty
    2
  31304. https://www.youtube.com/watch?v=q86g1aop6a8
    2
  31305. good!
    2
  31306. Thanks ❤❤❤
    2
  31307. :_math::_old::_math::_math::_old::_math::_old::_math:
    2
  31308. Just in time for midterms!
    2
  31309. I got here from a video about Adebesi from Oz
    2
  31310. Gracias por otro excelente video y consejo.
    2
  31311. For me, there is no bigger sacrifice than 8 hour sleep.
    2
  31312. Hey Math Sorcerer, love your videos! You've been part of my inspiration to start doing math again and finally learn to write proofs after about five years without any serious exposure to the subject, so I'd like to thank you for that - unfortunately I've forgotten a lot of information and my mathematical skills have gotten pretty rusty as a consequence of not doing much math for five years, but I went as far as multivariable calculus in the past and didn't have too much difficulty with it at the time, so I'm hoping that I'll be able to pick everything up quickly again once I start going through Rob Larson's Calculus book. Back in college I was trying to major in mathematics before I ended up having to drop out due to extenuating circumstances, and I foolishly signed up for a real analysis class in my second semester as a freshman, right after finishing multivariable calculus, with no exposure to linear algebra, proof writing, or really any "serious mathematics", barely even knowing what "real analysis" was in fact, and it was a huge reality check for me as someone who always thought they were "good at math" and was actually just kind of "good at calculation" lol - needless to say, I was incredibly intimidated and out of my element, so I quickly ended up dropping the class (prior to this, I never could have fathomed actually dropping a math class because it was too difficult, but real analysis humbled me). That being said, though, now that I'm no longer in college and have a lot of free time on my hands, I'm trying to work my way up to analysis the "right way" so that I can properly understand and appreciate it. And you have been a big inspiration towards that goal, so again, thank you sincerely for everything you do, both for budding mathematicians and for ordinary people who simply love math. On the topic of set theory, have you ever heard of the book "Stories About Sets" by Naum Vilenkin? It's much more informal and less rigorous than most of the books you showcase on this channel, but it's an incredibly concise, engaging and accessible introduction to many of the core concepts of set theory (so accessible, in fact, that a sufficiently motivated high school student should be able to go through it without too much effort), and I think it does a good job of using concrete examples and narratives to build up the reader's mathematical intuitions about infinite sets, the logical structure of proofs, and more, as well as just generally showcasing the beauty of mathematics and some of the interesting history behind the development of the subject. It has some fun exercises at the back of the book as well. You should consider trying to get your hands on a copy if you don't have one already!
    2
  31313. Wizard, what levels of math do I need to be a general engineering tutor?
    2
  31314. When I first saw related rates in calculus 1 as a self-study years ago, it blew me away. Related rates became the TWILIGHT ZONE for me.
    2
  31315. Thanks again math sorcerer for this kind of videos. After spending the summer, I'm here again with the third course in maths and rewatching all your videos, time to motivate and get that math signatures done!
    2
  31316. Thanks. Now I know it's not just me!
    2
  31317. F mortal creí q sería español jsjs
    2
  31318. Sincerely, one of the best teachers
    2
  31319. great thanks for your persistence each digit matters
    2
  31320. that was very helpful, thank you !
    2
  31321. Applications of Integrals. Disk shell method fall in that.
    2
  31322. Great advice, but why don't you create a system of your notes and review/recall the material?
    2
  31323. Wow! I got high off of this video! Is that strange or what?
    2
  31324. What about "A book of Abstract Algebra " by Charles C. Pinter , I found it very useful.
    2
  31325.  @TheMathSorcerer  yes ,please do review on that , it will be very helpful for Mathematics enthusiasts.
    2
  31326. Sir can you make videos related to application of matrices.
    2
  31327. Is there any recommendation about mathmatical logics?
    2
  31328. Very nice very beautiful
    2
  31329. There's some real soul in those eyes. I just discovered your channel even though I'm not exactly a math person. I truly get inspired by your words. Thank you very much.
    2
  31330.  @TheMathSorcerer  Indeed!
    2
  31331. when you're all hyped to learn and he says "taking limits is hard" no man i thought you're cool 🤣🤣🤣
    2
  31332. Because why on earth not?
    2
  31333.  @TheMathSorcerer  I forgot to sqrt an answer, but I remembered the +-, looks like I did the rest of this type of problem correct on the exam. So hopefully graders are nice and only take off the one point on the problem.
    2
  31334.  @TheMathSorcerer  Calc 3 and Diff. EQ * that's why I pop up on such different videos. I'm also prepping for next semester where I'm going to be taking basic logic and a proof based math course. So I'm in my freshman year right now, I was thinking of maybe not doing MAT342 AND MAT300 for my second semester of college while I'm not going to coffee shops . The other classes I was planning on doing those with are PHI103 and Phy121; that just seems like a lot, and I'm really NOT trying to graduate early. I don't crave the title boy genius, I just wanna get good at my craft. I struggle enough balancing Calc and Diff. EQ at the same time as much as I love them. You think I should maybe not go full ham on packing my schedule?
    2
  31335. Are you reclassing into the math barbarian?
    2
  31336. X👍🏽👍🏽👍🏽👍🏽
    2
  31337. The way the professor holds the pen: don't try this at home! :)
    2
  31338. Hey! Greetings from Brazil! That is so cool. I am wondering where in Brazil did it come from! :) So cool! Love your channel
    2
  31339. Yep! 💯💯👍
    2
  31340. Great video, Dr. MS!!! But before I purchase this book for my own vast mathematics library, I must ask, where among my math texts would I shelve it? Would I put it amongst the general calculus books or would this be shelved with my vector calculus books?
    2
  31341. Done!! Just bought myself a copy online a moment ago thanks to this video!! Thanks lots, Math Sorcerer!!! :) :) :) :)
    2
  31342. It was embarrassing when not a single kid of our class could respond to what an algebraic expression was even in their own words including our class topper 🙂
    2
  31343. lol almost my HW question to the "t" thank you!
    2
  31344. Dude: you look like Issac Newton, but I presume you are 10x nicer and don't have Aspergers. You make great comments, will refer to you in the future. Yes, the books title are distracting, I like to see what you are reading.
    2
  31345. Nice 👍
    2
  31346. it was hilarious
    2
  31347. I'd go to college, only if I really need few degrees, those for careers. For now, I won't bother college, as I don't wish to incur huge debts or travel too far away from home. Another, I could fail exams with my concentration dwindling at some hours of day. I hope that would never happen to me in near or far future. What would I need degrees for? Would I really need them, if I ever become self-employed in future — or if I change careers in future, given my varied interests? Would degrees be wasted if deemed outdated and worthless to employers? I leave all thoughts of universities aside, only temporarily. I wait till I first explore their courses thoroughly, see what they entail, and discover what prerequisites I'd need for courses. I am as thorough as possible. I will later decide when to attend college and what degrees to pursue. I will go, only when I am good and ready, when I can sufficiently cope with stress and tight deadlines, no chances of me ever dropping out of college. In other words, I want to be ahead of universities by first self-studying everything at home. If I fail, at least I am not incurring college debts, not wasting professors' time, not dropping out of college. So far, I am doing fine with self-studying. Besides, I have a responsibility toward my mother who needs me for muscle works at home and labour in her shop. That hinders me from attending college which is too far away by bus rides (two hours daily wasted on bus. Add traffic jams and more hours lost). I will go to college when I find the time, only when I am good and ready. Right now, I am preparing myself in advance for future. I am at home self-studying mathematics and physics as the prerequisites for sciences and 3D works including CGI animation. I know what to do for future. For self-studying, I discover whatever students are learning in lecture rooms; I read whatever books they use for courses; and I regularly follow whatever professors are externally doing inside their favourite fields, my habit of picking their brains.
    2
  31348. Great set. Need a differential geometry set
    2
  31349. Thanks sir
    2
  31350. genius
    2
  31351. Don't let your books lean, they'll develop a twist.
    2
  31352. Bro looks like he's been focused since birth.
    2
  31353. All that *(*) stuff almost made me give the language up before I had started!
    2
  31354. I am 72 and studying and working myself through Euclid's Elements. I taught myself trig working in the machine shop. I was lost in math when my school adopted the "new math" in the sixth grade.
    2
  31355. I have graduated from using a pen and paper to using a pen and a whiteboard.
    2
  31356. good points! No one can make you learn something you don't like. Keep going!
    2
  31357. Fellow Mathematician here. I'm suddenly feeling like I should try writing my own math books where I include worked solutions to ALL problems. Seems like they would sell like hotcakes just because of the solutions. Lol. Personally, I kinda like when solutions are in a separate book, because then the main book is less clunky. When everything including solutions fits in a book totaling less than 500 pages, then it fits comfortably.
    2
  31358. Just know that you are a role model to a lot of us.
    2
  31359. this video is very appropriate for me. thank you so much
    2
  31360. Thank you for the solution
    2
  31361. Should I buy Elementary Linear Algebra if I already use Khan Academy? Will the book give me a better or more in depth understand of the subject?
    2
  31362. How is (f) non-Linear ??
    2
  31363. swole af + good info!
    2
  31364. thank you sir
    2
  31365. Perfect timing, you are truly a Sorcerer.
    2
  31366. How do you write like that?
    2
  31367.  @TheMathSorcerer  It looks really efficient. You are facing the class while writing (students are able to see your face and listen to your voice clearly), and allowing for more of the board to be viewed by standing to the side of where you are writing. It's impressive.
    2
  31368. Thank You math sorcerer!
    2
  31369. You forgot to start every lecture with “suppose that..”
    2
  31370. It would help if you could give me some background about you. In the video you say you teach math, but more info about yourself would be great (i.e. years studying math). Thanks! And great video!!!
    2
  31371. You will do this video in your Spanish channel?? / Harás este video en tu canal en espáñpñ¡
    2
  31372. Short but powerful u helped alot thank u very much
    2
  31373. God bless youuu
    2
  31374. Just when i thought i was done with uniform continuity, great video!
    2
  31375. A first addition Kernighan & Ritchie...? Your humble brag is paper thin. And for scientific algorithmic, fortran still fights its corner.
    2
  31376. It’s a conceptual move not an algebraic one
    2
  31377. Serge Lang is always looking over your shoulder
    2
  31378. All summer?! Heck, I know a guy who has been working on Rudin for 30 years! (cough, cough)
    2
  31379. I went from a 100 average in calculus to a low B! I got a 65 on my midterm! I got nervous during the test, but I'm going to follow your advice and start doing my homework during the hours where tutors are available and I'm "immersing myself in math". The homework was deceptively easy and I didn't study enough math. I'm hoping I can pull my grade up before the end of the semester and succeed on the final. I'm reading Calculus Made Easy before bed and I'm doing exercises out of Stewart Calculus 9th edition. My first meeting with a tutor is tomorrow morning and I'm going to be doing corrections to my midterm exam. I still love math but it was definitely a shot in the gut.
    2
  31380. I love your videos!!❤
    2
  31381. People who are good at maths must have high IQ
    2
  31382. thank u sm❤️❤️❤️❤️❤️
    2
  31383. Love you
    2
  31384. THANK YOU MATH SORCERER !! EXCELLENT ADVISE AS ALWAYS, GOD BLESS YOU !!
    2
  31385. God bless you man.
    2
  31386. "its" means "of it" and does not require an apostrophe, albeit it is a possessive pronoun. You keep making the same mistake, it's a problem.
    2
  31387. Extremely useful video.
    2
  31388. Wow, as a web developer self studying to become a software engineer, this is so motivating. Thank you so much.
    2
  31389. Congrats!!! This is amazing to see your channel grow!!!
    2
  31390. I like the smell of old books too
    2
  31391. I read "A first course in probability" by Sheldon Ross (which I saw for the first time in this channel 😉) and I would say you can get away without derivation and integration up to PMFs (distribution of discrete random variables). You may need some basic series but you can learn the proofs of the convergence of the series as you are using thing them.
    2
  31392. You can also just visualize it on the cosine graph in your head and you get immediately sin x. It's the same with all reduction formulas. You just see the correct formulas in your head instantly. We can also see all the main values of all main trig functions [0, 360] without the need to remember or write anything down. But there's nothing wrong showing it analytically through addition formulas. The addition formulas however are a bit harder to see/visualize (why they are the way they are). I guess the simplest way is the scalar product of the two radius vectors in a plane: x1x2 + y1y2 for the formula cos (A-B) = cos A cos B + sin A sin B where x1 and x2 correspond to the cosines, and y1 and y2 correspond to the sines. It's trickier for the sine addition formula as we have to watch out for the signs and mentally draw correspondence between the cross product of the two radius vectors lying in one plane: x1y2 - x2y1 is the same as sine (A-B) = sin A cos B - cos B sine A. IMO, it's good and it's important for students to visualize and internalize that unit radius vectors have the coordinates that are sines and cosines. That's how we hide trig functions inside vectors and shorten the notation and formulas just like a definite integral hides inside itself the sum of an infinite series making everything look short and sleek like a math sorcery 🙂
    2
  31393. If you went back tor a second degree, could you still work full-time? Part-time? Could you pay as you go? A second degree can be worthwhile provided you can control the debt. People who insist that debt will somehow take care of itself with that new job, are usually making a serious mistake. You need a written financial plan. There are many more options now that many programs are remote, otherwise you may first have to move and find a job near the school offering the program that you want at a price you could afford while working.
    2
  31394. I've been following your channel for a long time. What you say is precious. I have a degree in Physics and I would have liked to have been your student.
    2
  31395. I am familiar with this book. It is very nice but too old fashioned. Soviet book at that time can be classified into two groups 1) very careful an pedagógicas like cálculus by piskunov and 2) very hard top follow like topics in analytic number theory by karutsuba
    2
  31396. Please can you show books of difference equations because in the books of differencial equations are two chapters. Thanks.
    2
  31397. hahahah Dude, your videos are awsome!
    2
  31398. Excuse me：Do you owns the instructor's solution manual of this book ? （ I just can't find it on the internet. ）
    2
  31399.  @TheMathSorcerer  OK , thank you so much！
    2
  31400. Damn are you even aware you look like Newton?
    2
  31401. I made a new office, and its pretty minimalist. But I have a lot of hobbies xD Gardening is a big one, and that is definitely NOT minimalist, (for me). I've got all these cool tools and stuff, some time I trip over them. I guess you could just have 1 kindle. For all the books. But IDK I'm like you, I need that rustic copy to take note, highlight, dog ear, post it, etc. Getting rid of my bed and sleeping on a Japanese foldable futon that I put in the closet in the Day helped a lot! Theres so much more space it feels so liberating. It's opened so much space I actually have a place to exercise in.
    2
  31402. how did i get here
    2
  31403. Tenth grade i was top of my class. Eleventh and i was behind most of the class despite my skills improving. Turns out the first high school i went to was easier on its students then the next. I went from being at the top to just an honors student with only PE keeping me on there
    2
  31404. it's the way he's holding the marker for me
    2
  31405. I love this channel
    2
  31406. waw super great thanks 😭🙏
    2
  31407. A 1,000 mile journey begins with a single step. -Lao Tsu
    2
  31408. Ask yourself: What life do I want?
    2
  31409. Thank you math sorcerer, that was very helpful.
    2
  31410. I don’t think the Math Sorcerer gets down to the really basic math. I’m also extremely limited in my understanding of math; I can add, subtract, multiply and divide, but don’t know about anything beyond that, such as fractions. (I went to really bad CA public schools ☹️). So I’d like to learn things like fractions which would be useful, but I think the way to do that would be to go to Amazon or a used book store and look in the children’s math section; buy at whatever your level is, and work up from there. Good luck!
    2
  31411. What do you think about "Essential Calculus: Early Transcendentals" by James Stewart for a beginner ?
    2
  31412. I hate stewerts so much. I recommend Essential Calculus Skills Practice Workbook with Full Solutions - its like $5 You learn calculus in a page, and don't have to sit through the 18 pages of boring expository per section in stewerts where you have no idea whats important. The workbook gives you heads up to the biggest mistakes, and gives you a page of exposition then sends you off to conqueror some problems, each of which are unique. None of that 200 problem/section B.S. Math Sorc will tell you it's amazing because it has 2 billion problems in it, and you only get better by doing problems. However, those problems don't help you get tired out after 40 softball problems just to start seeing something unique. I would only use a stwert book as a door stop.
    2
  31413. average calculus
    2
  31414. What is the price of the book in india
    2
  31415. Great Video! i found some peace when i started to do breathing exercises, started a mantra and found that i will continue to do well but i dont need to be attached/worried/desire an outcome. it all runs itself. Just let go when you have enough wisdom about the traps in life so you intuitely stay responsible. Its like conquering yourself, THEN being a kid and not caring. It doesnt work well the other way around.
    2
  31416. Delightful!
    2
  31417. Nice vedio
    2
  31418. I disagree! : The best time to do math was yesterday, the second best time is right now. :)
    2
  31419. Hey I'm not from Brazil but I love the lawnmower joke.
    2
  31420. thanks so much for helping me !!!
    2
  31421. Hey, Your video was a big help thanks!
    2
  31422. Math and art require the same type of practice. In art the most one consuming part of practice is not doing art, rather it’s is time taken to understand what and how you observe something so that you can translate it to the the page. In mathematics that process is wholly internal.
    2
  31423. Nobody: The Math Sorcerer: SNIFF that's a good math book right there Math is cocaine confirmed
    2
  31424. I wish I had a professor like you 💙
    2
  31425. Confidence at its highest level i don't ever see it deeping
    2
  31426. This content is gold
    2
  31427. Do you personally finish a book before moving on to a new book ?
    2
  31428. Fifth!!!!!!!!
    2
  31429. Easier degrees are also less rewarding and many people end up having to live off jobs that have nothing to do with their passion. Hard sciences (not just maths) give u at least a good chance to do what you love. So I see it differently: if you are young enough, whatever your situation, work hard, sleep 4 hours a night if u must, you gonna be able to do it for 4 years at least: if you have passion and talent for maths, just do it, it s gonna pay off. If your only problem is that u gotta work a little bit: I worked part time during my degree and it is possible to finish it in time, that much I can say. Also, if you are good at maths the degree doesn t really require way more study than others, actually, probably less. Try go and read those thousands of pages of law, medicine, history etc may be easier to get, but the shear amount...oh man I m dying of boredom already just to think about it. There is only one requirement to study maths that is non negotiable: creativity. Maths is fun, and undergrad stuff is very easy if you are creative. Research is a bit different, but the video is about the degree so I stop here.
    2
  31430. Also I love how you smell all your books 😂
    2
  31431. Thank you sir!
    2
  31432.  @TheMathSorcerer  Hey you sly fox you :) ... I know you did it on purpose just so that we click on your video link and then go ha ... domain's not all of R!!
    2
  31433.  @TheMathSorcerer  I hope you realized that I was only joking:). I felt glad to watch your video and will look forward to viewing more of those. Keep up the good work Sir :)
    2
  31434. Do recommend this over Discrete Mathematics with Applications by Epp?
    2
  31435. So cool
    2
  31436. Nice video, great summary. But, what about partial diff-eq and numerical methods? For those that wish to apply math to physical systems, and not to learn math for the sake of learning math. I know, heresy. oops, I forgot vector analysis.
    2
  31437. Nice review.
    2
  31438. I think it may stem from the fact that in math there is a guaranteed answer to every question. Even if the answer is: 'There are no solutions to this problem.'. You just have to keep plugging away at it to find out. It requires (and maybe trains) a sort of relentlessness to find that answer you know in your mind exists.
    2
  31439.  @TheMathSorcerer  I have a MSc in Applied Physics. I like to think I am not too shabby at math. This is was came to my mind when I thought about what I feel when I am solving a math or engineering problem: (like you said) I never give up, because there IS an answer and I have this urge to have to know the answer that drives me forward. It does help me though that if you have experience you have developed a very good sense in what kind of direction the solution goes: In university I coined the term 'intuitive math' where you look at a problem and just have a hunch what kind of solution a problem will have. I found that one's more often than not, right. Which is absolutely crazy, as some actual poofs require pages and pages. In that respect I can relate to Fermat when he wrote his last theorem in the sideline. He probably had a hunch like that.
    2
  31440. Funny, but sadly, a lot of truth here.
    2
  31441. Your videos are an inspiration! ^^
    2
  31442. Baller mate!
    2
  31443. Sit for an exam. Fill up a form for exam and that will push you to work.
    2
  31444. Sir you start teaching for an exam called iit jee advanced it is one of the toughest exams in the world people are crazy about it they want good stuff online like you give but you are not concerned about the exams syllabus please check the syllabus and the level exam I am sure your videos that hardly gets 1k views will get a minimum of 10k views you are great teacher please see this as an humble advice from one of your admirers
    2
  31445. your the best!
    2
  31446. One of the main reasons I quit teaching after 32 years was that students had become to believe that they shouldn't have to do homework anymore. You know, practice. Administrators seemed to agree and said we shouldn't assign homework anymore - no practice. So students began to fail; of course it was the teacher's fault. Good practice leads to understanding and success. Too bad so many "educators" don't understand.
    2
  31447. Dude are you reading my mind?! I finished 2/3 of my Math exams and got the last one coming on Monday and so far this weekend I don't feel like doing any Math because I'm too tired....
    2
  31448.  @TheMathSorcerer  Cool man! A latin friend. I from Brazil.
    2
  31449.  @TheMathSorcerer  What was your first language?
    2
  31450.  @TheMathSorcerer  disfruto mucho tus vídeos, aunq no estudio mates, sino física jajajajaja (aunq me mola la rama teórica que se parece en muchos sentidos a matemáticas)
    2
  31451.  @TheMathSorcerer  I am shocked
    2
  31452. thank you so much for your efforts sir, your videos helped me a lot please dont ever stop <3
    2
  31453. What kinds of games are you playing besides league of trolls? :D
    2
  31454. doesnt it make sense to do the whole thing seperately for left and right boundary values, especially with more complex equations?
    2
  31455. The under dog story. Never did I imagine, my career you point me to become a structural engineer. I failed at math, I've been there, understanding nothing about everything.
    2
  31456. King👑
    2
  31457. Will you make a video on books by R. D. Sharma?, it's probably the most popular high school math book series in India.
    2
  31458. I’m a college student that just finished taking college algebra this fall and am about to begin taking precalculus. Any advice? Also, how can I begin to appreciate and enjoy doing math? With science subjects it’s a lot easier when the information you’re reading is related to the applicable world unlike a lot of math material.
    2
  31459. Wow I was just watching your video on "how many hours should i study for my Math class" and then this pop up . I have subscribed your channel Prof but like I was so busy with my classes and work I was like I should get some break and here I'am watching your videos it's great to have something like this on YouTube Your videos are great 👏👏👏👏👏
    2
  31460. Kudos for Calculus Made Easy by Silvanus P. Thompson. That's the greatest Math book ever. Actually seeing the Youtube recomendation, i have just clicked to see if you mentioned it or not. That's the book.
    2
  31461.  @TheMathSorcerer  the way they are doing at UCF is through canvas with lockdown browser and webcam enabled.
    2
  31462. cool good to know thank you!
    2
  31463. yes are professors are not used to a online platform and to be honest not a big fan of online learning for math!
    2
  31464. thank you sir , love from india , msc student
    2
  31465. That was my pile of math Olympiad book when I was in highschool.
    2
  31466. I consider Mathematicians the most intellectual people on earth. It's not just me who thinks so but this a universal truth! I'm graduated in arts but I always advise my little brother to learn Math, it was the subject of past, it's the subject of present and it will be the subject of future, whole technology moves on Math from Computer (e.g. algorithm etc.) to any machine (e.g. airplane take off and landing degree of height, angle and digital clocks etc in it.) Rocket and missile launching. As Galileo says ''The laws of nature are written by the hands of God in the language of Mathematics.'' Physics and Math are like brothers. Love from Pakistan
    2
  31467. I would be awesome if you upload homework sheet along with this lectures....
    2
  31468. Bottom line, they should have answers to at least all odd numbered questions. The pluses outweigh any negatives.
    2
  31469. Excellent, Thank you.
    2
  31470. noice vid dude keep it up
    2
  31471. a huevo gracias <3
    2
  31472. Thank You , Sir
    2
  31473. My stats teacher told us to ALWAYS round up on the class width even when it is a whole number. Is she wrong? I think she's full of shit.
    2
  31474. This was very helpful!
    2
  31475. The math sorcerer have the face of the crazy math dude hehe just saying with love bro, legends says he have 200IQ
    2
  31476. @The Math Sorcerer, keep up the good work!!
    2
  31477. Love the hair. Great refresher since I haven't thought about limits in years.
    2
  31478. Jeff Bezos been cooking some Math lately.
    2
  31479. very good
    2
  31480. I like your style
    2
  31481. I started my journey today
    2
  31482. lol
    2
  31483. Yoo, someone turn the brightness down lmao.
    2
  31484. It is called concrete Math because it is hard very hard. By the cubic yard ,it gets harder. Soak it in water it cures even harder still. You ease with math is a gift I never received.
    2
  31485. This guy is the mathematical David goggins
    2
  31486. I loved this book for Calculus, dealing with the integral calculus before differentiation. Any comments about Richard Dean's book "Elements of Abstract Algebra". I really liked the sections on Galois Theory.
    2
  31487. I have a TI-86 myself sometimes from the 90’s or so. Still working still a good calculator.
    2
  31488. I ordered a book called Proof Is In The Book. It has different proofs in each math category like Algebra, Geometry. I suspect its going to be a difficult book. This channel says learn proofs and you can learn math easier. So I'm going to at least read the proof books. I'm actually good at computations and word problems. I already have How To Read and Do Proofs. I finished first 2 chapters of Blitzer's Intro and Intermediate Algebra for College student and got about 91 percent correct so far. I decided to skip ahead to the chapter on Rational Expression for a bit more challenge. I guess I'm going to do more from the Stewart's Calculus for something more challenging I wish all math was nothing but computations then it would be easier to do
    2
  31489. This is what I needed 😎 Thank you so much
    2
  31490.  @TheMathSorcerer  Yes! Before I saw your videos, I was having such a hard time confusing my ”5’s” with ”s” and vise verse, I tried using another variable for s, but it just made everything so complicated. When I saw you introduce the cursive ”s,” I was like, 🤯🤯 ”that’s genius! Duh!”... Long story short, thank you and if student’s give you a hard time maybe just let them know that it saves tons of headaches from later on mistaking a 5 and and a in future problems or possibly on a test.
    2
  31491. Thing is not knowing trig will catch up to you. You need trig in physics, advanced math, to help your kid with their homework, ect.
    2
  31492. I just finished linear algebra and calculus 2
    2
  31493. Thank you very much Sir. Your videos helped me a lot. I am a mechanical engineer and interest with fluid mechanics. But math in fluids is really tough. Could you recommand math books for better understanding for fluid mechanics.
    2
  31494. idk how much I can thank you thank you so much
    2
  31495. I feel this way self studying topology
    2
  31496. Il'm a sixty year old past student and looking to revitailize my skills and regain my understnding of math. Could you please post the lectures 1.1 and 1.3 , so as, nothing is missed? Thank you.
    2
  31497. I use bossa nova or really smooth jazz when studying maths.
    2
  31498. Ordered it on the same day you recommend it.
    2
  31499. Good
    2
  31500. Very motivational, yes. I guess it really depends how much work your tutor wants you to do as well, because like you said, if you have those quick insights and know how to solve it using a technique for 1-2 minutes, it will be epic. However, if you have to show ALL the steps and some trivial things too, it might take longer and this is where most people mess up a sign or something in their writing, get the right answer still because they solved it in their brain, and still get incomplete points for making an error in one of the steps. I had a grade C equivalent (in my country we use different grade scaling), because I did one test where they give you three hours, and I did it in one hour. The next time I did a test to follow up on the class, I spent 2 hours checking my work and knowing all my work is correct and all steps too, and I got 100% of the points needed. So, sadly, things like that also happen..
    2
  31501. Why are you suggesting to start with discrete math? Isn't that more difficult than pre-algebra? Shouldn't we star with pre-algebra?
    2
  31502. I didnt appreciate pre calc until taking calc. Didnt appreciate calc until i took analysis. I think looking ahead will help you appreciate what you're on right now
    2
  31503. i watch this video because of your bird. Im distracted sir, help!
    2
  31504. Thank you!!
    2
  31505. Nice
    2
  31506. Sitting on 99 rn thommorow is my calc I final, wish me luck sorcerer<33 I hope to get an A grade (90+) so ye😅
    2
  31507. Thanks for the advice needed it
    2
  31508. This actually helps me, I'm in college and I can't do the after division
    2
  31509. Oh shit I went to Miami Dade College. Represent
    2
  31510. Passion is what got me started in Mathematics study and that passion is what made me start my own Maths channel. Thank you for the timely reminder 👍🏼
    2
  31511. Cool
    2
  31512. This was really helpful thank you!
    2
  31513. Amazing video, I am going into highschool next year grade 8 would you specifically recommend any specific books that would help me cause I really want to be good in maths.
    2
  31514. Damn man you are saving my calc 3 class Greatings from mexico.
    2
  31515. Calculus I !!! :)
    2
  31516. Thanks.
    2
  31517. Thank you for your kind words of motivation.
    2
  31518. Cults! Cabals! Bill Gates! Very funny video.
    2
  31519. The REAL story: "Here's the deal, Kid. Do the time, or become a Math Major."
    2
  31520. Dover books on math are real treasures. Affordable, usually easy to read, and comprehensive.
    2
  31521. More Discrete Math ! More Logic !
    2
  31522. 6:56 my guy sounds like David Dobrik lol
    2
  31523. this was a life saver ! thank you !
    2
  31524. Bob Odenkirk if he did math instead of law
    2
  31525. Can you mention a good book discussing wallis formula of integration , please ?
    2
  31526. Hard to understand book = pedagogically bad book
    2
  31527. This is the most powerful thing that anyone ever said and should be required viewing, once each day of our life, for everyone, globally.
    2
  31528. Merry Christmas! 🎄
    2
  31529. Good recommendations
    2
  31530. Im 27 but dreamt I failed a math test after watching this video
    2
  31531. this is truly amazing
    2
  31532. Internships will give you the experience you need to decide if you want to make a career out of something. Get a summer internship after your freshman year in college, if possible.
    2
  31533. I just had a geometry test that made us do all working in browser.....
    2
  31534.  @TheMathSorcerer  The average was a fail 🤡 I mean how can they expect us to manually type a gaussian elimination problem
    2
  31535. I always wonder what the history of the equal sign is.
    2
  31536. Have 'em.
    2
  31537. I Like Ramanujan, if i see l, you are like ramanujan and albert einstein. Why? because you are the one to give up Mr math sorcerer. I hope that together we can achieve our goals in mathematics. greetings mathematician Mr Math sorcerer❤❤🙏🙏❎➕➖➗🔱📚📚🌍🌍🏆🏆🏆🎖🎖🎖🎲🧩♠️♥️♦️♣️
    2
  31538. hearsay
    2
  31539. You are a good teacher and appear to be passionate about mathematics. If you do not already you should teach one probability course without calculus and one probability course with calculus with the same format you are using in this video. Do you make your lecture notes, practice problem sets, and past exams avalible to the general public for free? My goal with learning about differential equations is just learning how to model things with them. I do not necessarily need to learn how to solve them for my purposes. Thank you so much for these very good videos and for the high quality content you put on your channel.
    2
  31540. About to take my test
    2
  31541. THANKS
    2
  31542. Very wierd. Is better good known than worst you will learn.
    2
  31543. You helped a medical student to learn calculus for CS
    2
  31544. Thank you so much sir for sharing this video
    2
  31545. Thank you, i see you from mexico
    2
  31546. How would one do research in mathematics properly?
    2
  31547. how did i get here? i hate math
    2
  31548. Amazing Video as always.
    2
  31549. Thank for the last two videos, this one and the one before. Also, have you read any geometry books that you will do a review on them?
    2
  31550. Just subscribed to your channel and bought Calculus Made Easy with your link.
    2
  31551. Thank you for explaining this
    2
  31552. Happy new year, man!
    2
  31553. Great work sir! thanks
    2
  31554. you are my hero!
    2
  31555. What school do you teach at?
    2
  31556. The way professor is teaching is awesome must should get nobel prize ,,
    2
  31557. Aside from all the wisdom you’re spitting right now, you are Jeff Bezos and I’m not accepting any different opinions.
    2
  31558. Seems reddit-tier ngl
    2
  31559. Are Giancoli and the University Physics one similar? Should i go through them both or is just one enough?
    2
  31560. Yes, I noticed that when my Tunisian professor taught me measure theory using French books. It was a very different approach, but deep and insightful. It actually helped me understand measure theory well. I'm glad I got the opportunity to experience that.
    2
  31561. You are one of my heroes, thank you for making your videos :)
    2
  31562. What’s the best way to e-mail you? I have a question but don’t want to post it publicly. Thanks!
    2
  31563. Thanks!
    2
  31564. 🙌
    2
  31565. I'm currently writing a textbook on Asymptotic Theory. I've decided to create two versions, one with full solutions (for instructors) and one without (for students). In LaTeX, that's easy to do, I have one LaTeX file with a switch set that includes the solutions, and another file with it unset. There are about 100 questions, and the worked solutions add an extra 80+ pages to the length of the book of around 450 pages). To be useful as an integrated part of a course, detailed solutions cannot be in the book. Equally, anyone wishing to mark students' work will need a set of solutions. The questions I've created are usually of the form, "Use such-and-such method to show ..." and so the final result is given in the question. In writing a full set of solutions, it meant I had to ensure that the main body of the text was written in a way that could be used to answer the problems (in particular, the hypotheses of some theorem needed to be tweaked so as not to exclude the application in the problems). I found that helpful in developing the text.
    2
  31566. ❤
    2
  31567. Now I know he has 100k. I'd be back when it doubles or triples. 🙂
    2
  31568. Hi please advice if this recommended for an engineering undergraduate ? If not recommend a suitable book. TIA
    2
  31569. I prefer Apostol.
    2
  31570. Fascinating, thanks for sharing
    2
  31571. thank you very much...#subscribed
    2
  31572. so many classics in there a bit sad I didn't see the Strogatz Nonlinear Dynamics book haha
    2
  31573. Uh, thank God. This video exist. I am Soo struggle with my math method course until I am crying cause why I cant do this. Soo frustrated... This video give me spirit again.
    2
  31574. Hello sir is there a separate video on tabular integration?
    2
  31575. 2:39 what does 'recap' mean? I'm not good at english
    2
  31576. THE POWER TOOLS HAHAHA
    2
  31577. Don't drink and derive!
    2
  31578. Lots and lots of exercises. Lots and lots of revisions too. Practise lots. See spaced learning repetition in Youtube. My habit, I watch math channels in bed every morning without fail. Same at night. For inspiration, I look up math posts in Facebook groups, Mathematics Stackoverflow, MathOverflow, Quora, Twitter, etc. Math pins at Pinterest, lots of colourful illustrations & sketchnotes over there. I go to those sites more times than read math textbooks. Pinterest has LOTS of colourful math notes 😍 that keep you addicted to learning. In Pinterest, look up math terms like Pascal's triangle, logarithms, partial differential equations, eigenvector, and so on. See what you will find there. Pinterest also has interesting pins on physics, engineering, programming, chemistry, etc. I read math textbooks at Open Library, free online reading.
    2
  31579. Happy 501.000 subs milestone ^^ If I may ask, do you plan to (at times) also do some math puzzles we can work on? And happy 2023
    2
  31580. nice explanation thanks a lot 😊 ❤️ from( muzaffarpur,bihar ) India
    2
  31581. thanks...
    2
  31582. Hello everyone
    2
  31583. Great Advice! I also learnt from the book 'make it stick' to randomly go over different questions from different units sporadically, because i found when i work through a unit like a story i intuitively know from the last question where this is going which makes it too easy. I also learnt that the harder you can make your learning the deeper it sits on the neural track you have created in the brain. Great advice, the key is reflection. Theres not many books on how to start a formal reflective practice, those that are are for nurses as they use reflection alot.
    2
  31584. We have real analysis in out first period of freshman year right now in Finland but zoom lectures is making it hard times
    2
  31585. We had calculus, numbertheory, propability with calculus and algorythms in highschool.
    2
  31586. The guy in the thumbnail is looking into a mirror but his reflection is not a true reflection, as much he is looking into an enchanted mirror and his reflection is a malicious spirit from the mirror world.
    2
  31587. Jeff Bezos delevering some math
    2
  31588. Yeah! Glad that there's a book that I have already read which is Larry Andrews! It's really good for beginners I learned a lot from his book
    2
  31589. I literally just received my results for my promotional exam in a Junior College here in SG. I got D(50-54) & Subpass(40-44) for Further Mathematics & Normal Mathematics respectively. (Yes, my Further Math is somehow better than my Normal Math) After watching this video, I honestly feel more motivated to work harder & really dig through my understanding of Math
    2
  31590. A 54 damn that's good
    2
  31591. I've just come home from shopping a few minutes ago and THIS is the first video I've watched since then. And, I must tell you that this great video has greatly advanced my knowledge and understanding of unit vectors!! Thank you lots, MS!!! :) :) :) :)
    2
  31592. Clear and concise!
    2
  31593. From my experience this book covers about 8 courses I had in uni and they still don't cover all of it I haven't had any courses regarding illumination or enocomics, so yeah it is a jampacked book, it looks awesome thanks for sharing. <3
    2
  31594.  @TheMathSorcerer  did you recognize the name??
    2
  31595.  @TheMathSorcerer  lol:)
    2
  31596. I am pursuing mu Post Graduate studies in Math.. We have the principle of Mathematical Analysis book in our syllabus... I literally fell in love with this book.. It is a reader friendly book opt for self studies... It starts from so basic like what is a set? and go all the way through open sets, closed sets. Lovely book❤️
    2
  31597. wow thanks a lot my exam isa after 3 dsys thx❤
    2
  31598. I love when your videos about books pop up early! You can still find them cheap!
    2
  31599. With all respect to GHH his elementary books are pure garbage. Read his 'Inequalities' or 'Divergent Series' to get a taste what he was really about.
    2
  31600. Liking this recommendation, I always love buying math books that link to application in physics and engineering lol
    2
  31601.  @TheMathSorcerer  Yes sir , thnk u
    2
  31602. Woah
    2
  31603. 2:36 no plug, then……. Cracking ❤😊
    2
  31604. Thank you so much!
    2
  31605. I didn't get serious about math until my Senior year of college (Business Econ & Law undergrad degrees), at which point I had so many holes in my math foundation that decided to start pretty much from the ground up. After tons of self-study and a Masters' degree in Stats (and working in industry for two years in a field somewhat related to Stats) I am now a PhD student in Stats at a world's top 10-20 Stats department. Math is like lifting weights: since the difficulty of the activity is unbounded, as long as you try to progress it will never get easy, but you will be lifting heavier weights, with better form for more reps - which is what we should be aiming for!
    2
  31606. Love this guy
    2
  31607. fantastic video!
    2
  31608. Ahahahaha... love it 🍺 cheers
    2
  31609. Nice transcription. 🙂
    2
  31610. First :)
    2
  31611. Great words and advices my friend. Congrats.
    2
  31612. You forgot the Hugh College Physics textbook.
    2
  31613. thank youu
    2
  31614. You don't mention Birkhoff (Garrett, not George) and Mac Lane, which certainly used to be very well known. It is not the same as the later, more advanced, Mac Lane and Birkhoff. Incidentally, Emmy Noether is also known for Noether's Theorem, which relates continuous symmetries and conservation laws in physics.
    2
  31615. Great advice!
    2
  31616. The Math Sorcerer , I’ve been teaching math in schools for almost 20 years and I’ve told my students countless times that there are no short-cuts. IMO, progress simply boils down to practice, consistency, resilience and patience.
    2
  31617. Your video is very useful and like it
    2
  31618. I have exam after week and I didn't study well, but I will not give up
    2
  31619. LOL spot on
    2
  31620. I’ll provide some formulas of vectors calculus from my lost book when I’m ready.
    2
  31621. Blinded by science!
    2
  31622. goggins one of the smartest person on earth, smart people like me and you will always admire him. simple as that, there ain't much people I would accept to ne friends with and goggins is certainly one I would.
    2
  31623. Nice
    2
  31624. oh my my..this is my first video on your channel, and i think i am gonna stay! :) anyways i got to.. i love math
    2
  31625. Good to know I'm not alone on the Trig. struggle bus lol. I found Calc. much easier than Trig.
    2
  31626. Thanks
    2
  31627. Perhaps you or your viewers can help. In the 1970’s I took a trimester class on Advanced Calculus with Stephen Vagi. It would be better titled 101 ways to prove convergence. It was the first part of an Advanced Calculus-Real Analysis-Complex Analysis year. He used a textbook called I believe Advanced Calculus but it was already OOP and there was just the one copy held in reserve at the library. It was small, maybe six by eight inches and probably 100 pages or less. I remember that you could get two pages when xeroxed. The xerox and my notes are now lost but I would really like to get a copy of it. It might also have covered differentiation and integration but I only remember convergence and a basement classroom first thing in the morning with Dr. Vagi smoking little cigars and the ash growing until it fell on his belly and getting brushed off with no break in him covering the blackboard without notes in a small neat handwriting. I have tried library searches and random book buys with no luck. To put the time frame in context, the next year I took a year long course on Mathematical Methods in the Physical Sciences using the book by that name by Mary Boas and taught by Mary Boas. Any assistance welcome.
    2
  31628. Fine fellow!
    2
  31629. I understand some of these words, yes.
    2
  31630. Good candid advice.... love it!
    2
  31631. advise - never give up
    2
  31632. The lectures are very helpful. Thank you so much 😊
    2
  31633. This is my new favorite format. Make a playlist and just keep rolling these out. My favorite thing about your style of teaching has always been how you always include the details of how to do a problem, no matter how elementary. Love the bird too...
    2
  31634. Are the job prospects good at the college level or is it really really competitive?
    2
  31635. In film studies, this is known as a canted frame. It dates from older days of European black and white films where it was known as a Deutsch tilt or, later, a Dutch tilt. Today it is melded into the universe of cinematic effects.
    2
  31636. online school is making it easier to sleep through my classes and completely miss them. you are my saving grace
    2
  31637. You sparked my interest in math
    2
  31638. High quality video
    2
  31639. Just want I needed after trying to learn Introduction to functional analysis 👍🏽
    2
  31640. Thank you!
    2
  31641. Thank you Sir
    2
  31642. I really like your videos :) they are kind of like check points in the path I’m taking my academic (and general) life. Your videos makes me reflect and review my accomplishments and flaws I had over time, and I really appreciate it. Thanks :)
    2
  31643. i will check it but A FIRST COURSE IN DIFFERENTIAL EQUATIONS by Dennis G. Zill looks profi too
    2
  31644. Math Sorceror, could you please do a series on partial derivatives of increasing order? Being some of the hardest problems in Applied Mathematics, I think everyone (myself included) would greatly benefit from learning some of the techniques you know on how to solve these notorious problems.
    2
  31645. I finished high school last year and 2 months ago I started pre-algebra, I want to know maths, I don't wanna be just a calculator as every high school here in Argentina wants. Where am I now? nowhere, in particular, I ended prealgebra and Algebra 1 and I couldn't wait to start with calculus.
    2
  31646. Explica muy bien👌 lo malo es que hace los números muy feos y no se entiende😁
    2
  31647. Sir please make videos on logarithmic inequalities.
    2
  31648. 🤑🤑🤑🤑🤑🤑
    2
  31649. back in grade 10 these type of questions had me tensed, and rn im sitting with differential equations, wishing for questions like these to appear on my exam paper😭
    2
  31650. Yes computer science is mandatory in middle school especially magnet schools
    2
  31651. Well. My Granpa used to be a math professor. And still I failed cal 1 . Well , so much for role models. Well, maybe thats bcz my parents forced me to study under him in highschool for maths in summers. And I started to hate maths. Well. It did help me in maths in highschool. Maybe I failed in it. Bcz I was naive in my first year in college(Bachelors). And procrastinated alot and didnt study much and thought I could just study at end and pass. Just like highschool. Well. If you're from India and Pakistan. You'll know what I am talking about from a highschools persepective. Well. Maybe it also has something to do with that almost all my attention was on my computer science course And didnt think that cal was that much necessary.
    2
  31652. Very good video. An honest observation. Quite brave of you to talk about your own difficulties.
    2
  31653. Could you do a review on Dummit and Foote and Artin’s Álgebra?
    2
  31654. Elon Musk (would) approve of this video.
    2
  31655. Use quantum mechanics so we found next date of earthquake I have an idea so calculated on quantum computer and we found it very well🕉🕉🕉🕉🕉
    2
  31656. Hmm will continue to do Amem
    2
  31657. Soooo cooooool!! How did you come by this book of runes?? Lol
    2
  31658.  @TheMathSorcerer  sweet 😎thanks for the reply
    2
  31659. What would you say are the pre-reqs for this book?
    2
  31660. this one hit a little too close to school
    2
  31661. This is ALMOST perfect but your not indian :l Pls don’t take this joke seriously you guys i’m not racist i promise 😅✌️
    2
  31662. I love your videos. They remind me what it was like when I was studying math, back in the days when the earth was starting to cool after becoming a planet. 🤣 I’m retired, living in rural France, and my friends see my fascination with math as a cute oddity.
    2
  31663. nice dude
    2
  31664. 2:10 I like doing math in bedf in the dark. With my 12.9" ipad. I turn it landscape and set the math textbook to scroll. I use my apple 2nd gen pencil to workout the problems writing directy in the mathbook (annotations). If I don't have enough room I pop up the notepad from teh bottom right corner and write in it. I check my answers with my other ipad (smaller old 9;7") where I have the page turned to the answer key :)
    2
  31665. ty sir
    2
  31666. Tell caller to hang onto hope. Try prayers first, before making decisions. In prayer, always ask for directions in life and solutions to life problems. Tell him that there are OTHERS seeking math tutorials and they are not just students from schools or universities. There are CGI artists needing a command of maths for node compositing inside 3D softwares. Game developers too. Programmers and coders as well. Filmmakers too. For a movie like Star Wars, you need maths to write physics simulations for 3D realism inside softwares like Houdini 3D, Maya, Blender, etc. Imagine seeing your maths turned into rain, snow, thunder, lightning, fire, explosion, etc.
    2
  31667. Thanks so much!!
    2
  31668. Great book; great video
    2
  31669. Yes that is a very good starter book ... and Dummitt and Foote's is the best overall!
    2
  31670. Thanks Math Sorceror! I’m going to study until 8 PM today.
    2
  31671. Grande el Lima viejo
    2
  31672. How can I start with your videos ? To study math please I need a help 💕
    2
  31673. really really helpful!
    2
  31674. You're such a great gift to the community.
    2
  31675. But how am I supposed to find the passion and curiosity for American government when I’m already swamped with coding? 😂
    2
  31676. Math has always existed? Basically
    2
  31677. Used Tipler in college. Great book.
    2
  31678. is there arithmetic?
    2
  31679. IA Maron and GN Berman were among the top books!
    2
  31680. I’m nabla gonna lie. This is an excellent book!
    2
  31681. many thanks for this good video.
    2
  31682. I just ordered Discrete Mathematics by Susanna Epp. How far will I get in this series of math treasure? I don't know, but I have begun!
    2
  31683. Chat GPT recommended you to me, great job explaining!! 😊
    2
  31684. Thank you
    2
  31685. Subject, then alphabetical. Or just by coolest cover.
    2
  31686. I spent two weeks on a proof using perturbations of the arithmetic mean & geometric mean inequality. I still remember doing this after 5 years, but have forgotten many other things I have worked on. Very satisfying 😁.
    2
  31687. Obviously, this does not work for just any divisor!
    2
  31688. I once found a shopping list in an used book🤔
    2
  31689. Are you going to make a video on the kernel of a transform? i dont mean to be annoying. sometimes i feel like i should give up, there is too much information to absorb.
    2
  31690. Goddamn it ....I love you math wizard!!!! You’re so awesome man dude. I feel selfish because you give me exactly what I need, at exactly the right time !!!
    2
  31691. Didn’t mean to say man dude..lol
    2
  31692. No Number Theory :(
    2
  31693.  @TheMathSorcerer  Are computer science classes required to get a bachelor's degree in pure math?
    2
  31694. mine just gave up and let us use our notes on tests, a lot of people still failed
    2
  31695. Greetings Mr. Professor, Thanks for the Wonderful Insights into The World of Mathematics in all aspects. I agree with the fact that Mathematicians are Elite, Socially Detached and connected with subject - Mathematics in every aspects. With regards, RanjithJoseph (R.J)
    2
  31696. Education
    2
  31697. Greetings Mr.Professor, Simplest Response for Particular Concern is "Quantum of Passionate Persistent Determination" from Authored Mathematicians for 'Mathematics' in every aspects.. Take Care... With regards, RanjithJoseph (R.J)
    2
  31698. Thank you ❤️
    2
  31699. too bad i can't turn my two F's into A's
    2
  31700. Thank you for this ❤️
    2
  31701. I think my dad had that exact book.
    2
  31702. Stop procastination = just do it
    2
  31703. dude, these textbooks are like $200 🔪
    2
  31704. i didnt mean to add the knife emoji
    2
  31705. Beautiful!
    2
  31706. Brilliant!
    2
  31707. Answer is √3/2
    2
  31708. I really started an appreciation for math with the start of my dive into deep learning. It is amazing how simple matrix multiplication can identify images.
    2
  31709. The Lebiniz haircut looks good
    2
  31710. mehn.. i like the way you teach.. better than my lecturer.. lol
    2
  31711. i only knew he was joking when he said "the end of the world"
    2
  31712. More like isaac newton teaching his invented subject. 😀
    2
  31713.  @TheMathSorcerer  They are Helping even in Pakistan...Thanks Proff.
    2
  31714. I love these videos, you've been really helpful for me throughout my journey and I am really grateful for you and what you do in here. ♥♥♥♥♥
    2
  31715. Thank you for what you do!
    2
  31716. This is exactly what I've told my children. Math is math. Dinner of it just is. 1+1=2 and there is no reason to try to figure out why. This is how I learned math and excelled at it. The more to "do" the easier it becomes over time.
    2
  31717. wonderful
    2
  31718. Thank you sir , I really appreciate your efforts for putting up such an inspiring video on YouTube 😁
    2
  31719. What a cool book!
    2
  31720. You deserve it!
    2
  31721. as ur an Indian student like me so ypif you have completed your 12th maths the. surely you can go for it. Most important is that you have a good knowledge of calculus 😄
    2
  31722. Even if you don't understand it, it's good to be exposed to it.
    2
  31723.  @TheMathSorcerer  Putting it rn into my book list!
    2
  31724. Thank you so much for uploading this video. I'm a self-taught programmer, and have been working professionally as a Java software developer during the past three years. But even now, I kept learning multiple computing subjects, including Linux administrations, Oracle Database, CCNA, and Android programming. As you've described in your video, it's sometimes hard to keep the motivations by myself. But your 'Walmart' example gives me a lot of motivations to keep going on with my computing journey. Again thank you for creating this video. Gave me so much motives and hopes. God bless you 😉
    2
  31725. 60 mins for ho many days? :)
    2
  31726. Where did you get all the book with so cheap prices, I been buying math text books with 50 Dollars each atleast.
    2
  31727. The Math Sorcerer thanks a lot , it’s going to save me so much money ! I’m looking to buy this new book that is going to be published on 18th called “topology a categorical approach”.
    2
  31728. He was my math prof @ UCF in the mid 90s
    2
  31729. Thanks for this. My anxiety gets the best of me when I’m doing math. I seem to forget everything when tests come.
    2
  31730. I love old books, science books specially...more indeed...
    2
  31731. " I've got time I've got enough time for all of us" - skeleton - the last unicorn
    2
  31732. thanks, this is is so inspiring
    2
  31733. I love this guy! Points out the most important parts and it really hits deep. You kinda look like jeff bezos lol
    2
  31734. Thank's very much
    2
  31735. Ever since decided to bulk up in the gym I’ve been major struggling to study as much. Balance is hard. I almost wanna give up on bulking up and just workout a couple hours a week like I used to
    2
  31736. thank you so much! this really helped me
    2
  31737. Love mathematics. I too have some rare books.
    2
  31738.  @TheMathSorcerer  I am a apprentice sorcerer... training to be a mathmagitian
    2
  31739. need some proof including - operation
    2
  31740. Internet and technology is a great tool
    2
  31741.  @TheMathSorcerer ...as far as i know the practice books of AMS are real analysis problem books
    2
  31742. Partial Differential Equations of Mathematical Physics and Integral Equations by Guenther and Lee has more prerequisites but I find it to be very good also.
    2
  31743. Thank you so much ..👌👌
    2
  31744. "All the power of assembler with the convenience of assembler" the saying went.
    2
  31745. Yeah but what does Stanley have to say about it?
    2
  31746. Mine shut down and the crazy part is we're required to go home I've traveled over 1500km to get to this uni. And will probably pass through highly infectious areas such as the airport when returning home.
    2
  31747. 8:15 super awesome contents style, loved it
    2
  31748. Off topic, BUT THIS CONCEPT will Work well with EVERYTHING...studying really hard, but drink too much. Struggling with life basically. I think this technique will work for drinking. And I am going to do this..changing the way I'm thinking. Thanks for this video.
    2
  31749. Never give up never surrender! Also, watch out a lot of bad answers on the net🥲
    2
  31750. Best ever lecturer
    2
  31751.  @TheMathSorcerer  where can i get your calculus 1 first year university lecturers help please all lectures of simester 1
    2
  31752. FIRST
    2
  31753. Hi , i am really struggling right now , i think that i am becoming dumb at maths , actually i moved to another class in my highschool because the other teacher was “bad” he gives easy test but with no explanation during the class , so i had to go to the class where the teacher explains very well but gives very hard tests , unfortunately i moved in October and the year started in September , so i missed chapters and I didn’t have time to work on them well but I understanded the concept after failing my test , i have got 7/20 and i was in a bad psychological situation . I don’t know i feel like i am not a maths person but i ve got 20/20 once in highschool (the test was easy) and i was really good i ve got 18/20 in an exam that students took to attend pioneer highschools in my country . So our system is quite difficult . I think also that ppl that are good at maths are the ones who do tons of exercises but actually they are a little bit dumb and truly i want to understand the concept but i feel it is not the right way i feel lost but deeply i love maths . Help me i want to become the best at math!
    2
  31754. Easy
    2
  31755. lol is this me? I regularly get good grades on tests but I still feel like I suck at Real Analysis.
    2
  31756.  @TheMathSorcerer  So when you had or have forgotten the proof of a theorem T1 that occurs in the proof of some other theorem T2 you sometimes just ignore the fact that you can't recall its proof of T1 right now?
    2
  31757. Hi Sorcerer, I'm 22 have not started my academic studies in college yet, but I'm thinking to go next year. I study math and programming at home.
    2
  31758. You are right
    2
  31759. Thankyou
    2
  31760. I love the fact that you were so dedicated for this video that you actually cut your hair and went bald! Woww
    2
  31761. How can there be an end to mathematics
    2
  31762. I appreciate that you seem to be a very genuine individual who wish good. Thank you for your videos.
    2
  31763. Your thumbnail has e⁶ʸ.
    2
  31764. You are xenophile, which is very cool.
    2
  31765. I have the same shirt! Lol
    2
  31766. Don't worry about it, it's not going to be in test. Ultimate!!!!
    2
  31767. omg you saved me again
    2
  31768. both :)
    2
  31769. That part about being hit by a crazy hard math class after not having to work hard is really true. I've always been really good at math, but had a big problem with calculus 2, despite having flown through everything else relatively easily. I was putting in 15 hours a week outside of that class alone and getting nowhere, and eventually I had to drop the class. That was last semester, but this semester I retook the class and did much, much better, since I knew what I was in for.
    2
  31770. Yeah, sometimes you just gotta let the Old Man talk and then hope the material for the test comes out of the book. For instance, I had once gone to a Military School for an Associates Degree in Electronic, for what they called the '3rd Block', on Capacitance and Reactance, the Old Guy would just drone on and on about "stuff'. But there were course materials, and even back then I knew to buy a few extra books. So I got a 100 on the test. EVERYBODY ELSE FLUNKED IT. I was summoned to Air Force guy's office, I myself being Army, and they accused me of cheating. How could I get a 100 when everybody else failed. Well, I told them. The first two blocks were easy and students weren't studying at night but just using what they learned in class and from the lectures. The first two Blocks had instructors that actually taught the material. I studied the material. I asked them for a copy of the Course Material and breezed through it showing my Inquisitors what material I remember being related to specific sections. I also told them the titles of the extra material I had studied from. WAS IT THE AIR FORCE'S STANCE THAT STUDYING WAS TANTAMOUNT TO CHEATING? They asked me if I was willing to take the test again. I said, I can't possibly do better than 100. I was already studying Block 4 material. To go back and refresh on Block 3 Material purely because of Inter-Service Rivalries and the Air Force prejudice that no Soldier can ever be smarter than any Airman, especially after I gave a plausible explanation for all the failure, well, my answer was NO. No. If they wanted to talk further, I wanted an Army Officer present, that this was BULLSCHITT! So I had a week's vacation and studied ahead when the ALLOWED all the Air Force Weenies to have the F's expunged from their records and they were permitted to catch back up. Of course, they were able to blame the doddering old man. The Air Force always finds someone else to blame.
    2
  31771. Interesting.
    2
  31772. tysmm 🥰🥰🥰
    2
  31773. ii
    2
  31774. Loved it
    2
  31775. i hope this helps before my final
    2
  31776. "finish"
    2
  31777. I know right. I am looking forward to it. Do you want to teach math at uni or high school or elementary?
    2
  31778. Im sorry but square root of 9 sometimes equals to +-3. So should find a solution for - case?
    2
  31779. Hahaaa, here is one.. :)
    2
  31780.  @awadelrahman  don't laugh
    2
  31781.  @horatioferra9836  Why not !! 😔 I just commted that the answer looks fine with my shallow math background as an engineer, however some math person will jump and say that is not complete... And you jumped.. sorry if I offended your mathematical sense 😑
    2
  31782.  @awadelrahman  I'm bad at math actually as you can see
    2
  31783. The downside of this proof is that unicorns did exist at one time but probably not on this planet.
    2
  31784. Thanks so much 😊, I like math when I am in first school and my secondary school . Will have a look on these book . Have a nice day man !
    2
  31785. People would be much better and not scared of math if , they understand not all students learn in the same amount of time , but the education won't work in this modular way , it's just strictly time based
    2
  31786. This probably applies to a lot of different situations. I can definitely say as a programmer this definitely applies to programming
    2
  31787. When you say Advanced Calculus, what exactly do you mean? At my school at least, there is a sequence of Real analysis courses that start at the beginning, and work all the way up to measure theory. Was there a particular course you had in mind as the hardest one, or just that type of sequence? What material is covered in the one you are thinking of?
    2
  31788. This is awesome! I've been watching a lot of Jocko Willink lately. I felt so defeated after failing, Calculus, Linear, and Differential Equations. Instead of seeing myself as the victim of defeat, I changed my mindset to the Commando. To be aggressive in tackling the problems, if I fail a problem its a tactical defeat, but allows me the where-with-all to improve, planning, operating, and executing, so that I don't fail another comrade in battle, in this case, I don't fail myself, my fellow students, my parents, the professor, or the subject material.
    2
  31789. lol
    2
  31790. Nice explanation 👍👍👍👍
    2
  31791. They didn't "have no calculators". They were allowed to use sliderule and some were really sophisticated calculation tools. I wonder what was the allowed (probably military-issued) sliderule of that course...
    2
  31792. I noticed that I can name a couple of good math books written by men, but none written by women. You review a lot of math books. What are your favourite math books written by women?
    2
  31793. Thank you so much for taking the time to do this.
    2
  31794. I do not understand why teachers are so worried about students knowing the answers! What teachers grade in the exams is not a correct answer, but the procedure to obtain that answer. If the student got the correct answer via a senseless procedure, then he gets an F. If the student get wrong answer because some simple mistake, but the procedure is nice and sound, then B+!
    2
  31795. شكرا 🙏🏻
    2
  31796. 😂😂😂😂true
    2
  31797. Can't thank you enough.
    2
  31798. I apreciate a lot your videos and the subjects you talk about. Thanks
    2
  31799. I am a 37y old ex physics PHD who is now working as math teacher. I try to self study some math every day :) Sometimes it is reading from a book, or doing some exersices, watching some videos, maybe try a math olympiad problem.
    2
  31800. Hmmm, I always thought Math Sorcerer was in Hawaii, but with a puffer coat, ummm no ... 2nd guess, somewhere along the Oregon coast.
    2
  31801. fun video
    2
  31802. When it comes to math books, organizing by title will probably yield the same result as organizing by subject 😎
    2
  31803.  @TheMathSorcerer  time to channel my inner MATH SORCERER!!!
    2
  31804. Constant practice builds up confidence and keeps alive my interest in mathematics. Day by day, I get better at maths. Everyday, I do math puzzles online. Puzzles keep me thinking hard and so pull my brain muscles. Afterwards, I am left with a feeling of swollen brain. I join math hubs. Therein, I compare my answers with those of others. Members work out solutions in different ways ad I learn much from them. My mistakes never deter me from learning maths. After all, mistakes are part of learning. Also, I go to Stackoverflow for Mathematics and MathOverflow. There, I study exemplary answers to exam-like questions and have them bookmarked. When I want colourful engaging diagrams of mathematics, I find plenty of them at Pinterest. I explore math books at Open Library and watch tutorials by various channels. I keep lists of nerds' names and their links. I just will never stop learning mathematics.
    2
  31805. Same here. YouTube algorithms made true the saying "when you which upon a star.., everything your heart desires will come to you".
    2
  31806. Same 😂
    2
  31807. Now do a Putnam!!or IMC...
    2
  31808.  @TheMathSorcerer  yes!! :)
    2
  31809. A first course in abstract algebra by Charles Printer. What your opinion sir??
    2
  31810. thank you🔥🔥🔥
    2
  31811. Probably. At least, it's better if you have IQ above some level, not highest, but...
    2
  31812. K.A. Stroud produced the best books to quickly learn how to do a lot of useful math. His books consist out of problems and worked out solutions. It's fantastic for self learning. It will never be recommended by math geeks as the books are light on theory and do not satisfy people who really want to understand the subjects. But they are great for the rest of us. And once you are comfortable you will pas the dammed exams, you can focus on trying to understand shit better. Stroud is the reason I managed to graduate Mechanical Engineering, and it made reading the books required by the courses much more fun and understandable.
    2
  31813. Wow, writing on the board this way looks really strange but it is also really cool! I really didnt like when the teacher covers the board while writing.
    2
  31814. Thank you so much
    2
  31815. It is a play on words. The ultimate secret. The one "I"d man is king. Seeing everything as it truly is. ONE.
    2
  31816. The only thing that baffles me a lot is that when I look at the mathematical expression in those papers (AI PhD student here), the derivations are just not making sense to me, and the unclear representative meaning of the symbols, people would say that is normal since the paper is for academic purpose. They judge you are not academic enough.
    2
  31817. Interesting 🧐
    2
  31818. self study is the final reality of all gain
    2
  31819. I love math ♥️
    2
  31820. Does it need the upper bound? It seems that the proof statement is ‘inaccurate?’ Or how do we phrase it correctly? This is a terminology/phraseology issue for me.
    2
  31821. loved my complex variables class
    2
  31822. Yes I do believe self study entails all those benefits you just mentioned. And what’s more important for me is, when self studying nowadays, you are not limited by the resources available to you like you would 20 years ago and you can get a high quality education for very little money spent. I really do encourage it and advise people to stick with and not to worry if they get stuck or it takes them more time than they expected, that is completely normal and you will get better with time.
    2
  31823. Wolfram to rescuuuuuuuuuueeeee!!!
    2
  31824. You are a great professor! Excellent explanation simplifying complex fraction to evaluate the limit! Another example -- make one simple mistake it will mess up the entire solution! You have to be VERY careful (especially with positives and negatives!!) The shortcut can definitely help prevent errors.
    2
  31825.  @TheMathSorcerer  I was feeling real bad yesterday and this made me laugh so hard, thanks for making these videos!
    2
  31826. Well said Bro 👍🙏
    2
  31827. What if we wa t that, but we still struggle in undergrad? What does this mean?
    2
  31828. I don't even have the sense of property. I tend to think that only what I use is my property. The less I use it, the less I can say it's mine.
    2
  31829. Completely agree ! But what if you are obsessed with others mathematical area like theorical physics, logic or AI ? should we split our time or should we focus on one ?
    2
  31830. Also coming up on March 14th is 2022 international maths day, you should make a video on that day to celebrate. EDIT: It is actually March 14th, my bad.
    2
  31831. Thanks~ 💓
    2
  31832. a Big r The Biggest
    2
  31833. it checks out.
    2
  31834. I wonder if The Way of Analysis or Montesinos's Introduction to Modern Analysis can surpass this book in thiccness.
    2
  31835. Happy New Year Math Sorcerer. I have a book on spherical trigonometry that was printed in 1878.
    2
  31836. It was really helpful. Thanks!
    2
  31837. The Double ( MS Comedy ) !
    2
  31838. Thank you sir
    2
  31839. I hate the lockdown browser. I understand why it's necessary. I love your hat though lol
    2
  31840.  @TheMathSorcerer  India man...
    2
  31841. I'm here procrastinating.....
    2
  31842. Thanks, it was helpful for my homework.
    2
  31843. You might really enjoy Godel, Escher, Back: an eternal golden braid, and Chaos by Gleick
    2
  31844. This video help me, thanks a lot
    2
  31845. I was doing the dishes to take a break from maths and decided to listen to the Maths Sorcerer at the same time ... only to hear him talking about doing the dishes to take a break from maths. I feel like I've just fallen down a surreal rabbit hole.
    2
  31846.  @TheMathSorcerer  My goodness. Whatever strange occurrence life throws at you, there's sure to be some other dude out there who has experienced similar! Some day I hope to do something truly unique - but it's hard! I would suggest that you listen to a Fluffurbia video whilst doing the dishes next time you're on a maths break for reasons of pleasing symmetry but unfortunately such videos don't exist!
    2
  31847. I am convinced you are my math professor. What are you doing here Mr Jenkins?! Reply to my emailsss ffs 🙁🤣
    2
  31848. Hey can you make a video explaining how to solve this: sum of ((n choose k) 3^k) where k =1 and goes to n. There are not any videos on this topic.
    2
  31849. One such example is: f(x) = |x|/x g(x) = -f(x)
    2
  31850. Just saw this and added you :) My user is AtreidesNuts. Glhf!
    2
  31851. I agree totally with the idea of using different math textbooks. It was a huge breakthrough for me when I realized I might be stuck not because of my my inabilities but but because the the idea was poorly expressed - from my perspective at least - in the textbook I was using.
    2
  31852. 1: Correction: InFix notation (i.e., a + b) is commonplace. You learn all about prefix, infix, and postfix in multiple CSci courses. 2: The best professor I had was from the UK and he had a PhD in math and computer science.
    2
  31853. The more I watch your videos the more I learn we have a lot in common and that gives me comfort, thank you Gandalf
    2
  31854. It's a good coincidence YouTube showed me this video. I have a case with Legendre polynominals involved.
    2
  31855. I’m 23 and in my first year of university, engineering!
    2
  31856. You’ve finally got 100k subscribers. Congrats. You are awesome.
    2
  31857. I loved that you got chills at the end and how succinct the ending was, direct words and cut, that made waaaay more impactful than most videos i watch.
    2
  31858. Sorry, what is the background song?
    2
  31859. At my university we took calc 1,calc 2, linear algebra 1, linear algebra 2 then calc 3 followed by calc 4, with calc 4 being vector calculus
    2
  31860. As a wise man said, books over looks!!
    2
  31861. Why is it called the Cinderella - book? Just because of the cover?
    2
  31862. Baby Rudin it ain't😁
    2
  31863. wow....nice videoo
    2
  31864. I want to be a mechanical engineer and just started calculus 2 at cc. I am struggling so much and reaching my goals seems impossible. I dont really like math and find it really confusing and feel so dumb. Am i making the right choice?
    2
  31865. Calc 2 was particularly hard in my opinion - all the random 'weird' parts of calculus put in one incoherent mass of topics. Push through it, ask lots of dumb questions in office hours, write compilations of all the most important equations, and look forward to the more exciting classes up ahead.
    2
  31866. Ive been looking for something like this
    2
  31867. Hi, I becomes better in manage failure in my day to day work and study, in the way I more learn math. Thanks for your videos.
    2
  31868. Class starts tomorrow!
    2
  31869. I love that you take time to make these kind of videos!
    2
  31870. The worst math comedy videos are the ones that were not made to make you laugh.
    2
  31871. I believe that you put this problem in your calc 1 course on udemy, I was able to solve it rather quickly
    2
  31872. What about tips for self study? I'm a high school math teacher looking to return to grad school for a Ph.D. in mathematics. What advice, if any would you have for someone who is preparing to re-enter the math grad school environment?
    2
  31873. ❤
    2
  31874. A classic!!
    2
  31875. This is amazing! I love videos like this! Amazing!
    2
  31876. I needed this. Im currently torn between finishing my physics major or switching to software engineering. Even though I enjoy learning about physics I realized Im not really enjoying the courses and the heavy math, but I do enjoy coding and I can be good at it. However, switching right now would mean to add at least 2 years to my degree so Im not sure wether to switch or not. I feel like I have no idea about what job I want to have. Love your videos btw!
    2
  31877. This might be Jeff Bezos
    2
  31878. Thanks 😊
    2
  31879. I'm already seeing the effects of perfecting math; "Time management to get jacked"
    2
  31880. I love rare books.
    2
  31881. Is the book of proof by Hammack enough to study Spivak? Also, what about his Calculus on Manifolds.
    2
  31882. This is so painfully accurate 😂
    2
  31883. EXCELLENT ADVICE, MATH SORCERER!!!!! I REALLY NEEDED TO WATCH THIS!!!!! Thank you so much for producing!!!!! :) :) :) :) :)
    2
  31884. It is a good book; it was a book required in the Spanish Version for Calculus I at my first semester at the National Engineering University in Peru (UNI) also called the Peruvian MIT for its level of excellence and difficulty to get admission.
    2
  31885. Me too dude😂, very few math books till now in my collection
    2
  31886. These are very true and emotional....rudin is love
    2
  31887. Does this guy ever blink? Too much coffee? Other substances?
    2
  31888. I really like your voice.
    2
  31889. Muchas gracias.
    2
  31890. amazing
    2
  31891. Sorry but the miniature scared me
    2
  31892. Oh em gee tysm! Your video was very very helpful!
    2
  31893. Yeah, couldn’t agree more! Math is challenging. But you know what, because of your videos learning Math is easier 😊👍.. The movie is “the man who knew infinity” i love 🥰 that movie... It made my cry too 😭
    2
  31894. Not related to the topic in the video. I apologize. But you look great in that shirt boss!
    2
  31895. Your my motivation ✨ To start my maths journey ✨ Thanks sir ✨✨
    2
  31896. it's not nearly enough compared to those who fill stadiums for celebrities and other 'glamorous' individuals ;-)
    2
  31897. Its all about the calculators in mobile phones. Everybody has one
    2
  31898. amazing
    2
  31899. grades can hinder learning. grades, points what-have-you it's discouraging. I know "boohoo, get over it" but hey don't kill the messenger. It's science!
    2
  31900. Wow thx
    2
  31901. Good video, man
    2
  31902. from start to given-up
    2
  31903. I'm a nuclear physics student I appreciate you showing this. Maybe this is a sign for you to become a nuclear physicist now haha 😆
    2
  31904. Muchas gracias, agradezco mucho tus consejos y tiempo para hacer estos vídeos, no se mucho ingles, sorry. It's a great video teacher and I'll really try to follow your advice.
    2
  31905. You should post this on tiktok too! I think so many people want to know what to do but don't know.how to get started.
    2
  31906. This deserves a big fat LIKE
    2
  31907. Very nice. I like the way the book uses colour as a pedagogical tool. 👍
    2
  31908. Haven't chuckled like that in a while, thank you Professor.... dork
    2
  31909. yo man, just wanna ask a quick question if you've already read Elements of Partial Differential Equations by Ian Sneddon or not. I'm doing an advanced reading on pde's in my current free time and I really want to know if Ian Sneddon's book is really good as I've read from the Google Reviews (lel). Cheers!
    2
  31910. Please my course is in French and it start with Normes and distance in Rn can you please recommend an english book for me ? I will be happy if anyone can be of help
    2
  31911.  @TheMathSorcerer  yes please Topology in Analyse
    2
  31912.  @TheMathSorcerer  Thank you for your concern
    2
  31913. What about... -ln(cotx) +c Using an identidy sin(a). Cos(B) =1/2(sin(a-B)+sin(a+B)) Well after all your answear is Right, but you could have used this identidy just to simplify.. Cot(x)=csc(2x)+cot(2x)
    2
  31914. I finally got the answer after watching this ❤ thank you so much
    2
  31915. This is great advice. We all come across this situation and working harder and more effort is the only way to succeed. Very true, that a lot of times the better grade is what matters, so working for that is the reasonable choice. Of course you don't usually want the teacher to know that's the case 😀. Great video 👍👍.
    2
  31916. Clear as f%&i/ (Really clear).
    2
  31917. Your video is an inspiration. I acknowledge your video on inspiring visionaries! Keep up the great content
    2
  31918. Thank you sir
    2
  31919. May you share your setup for how you do your videos from start to finish? including hardware and software setup and your workflow from start to finish? Also, if you may share how you plan your videos? Thanks
    2
  31920. Thank u, it was helpful, may i know if it's ODE?
    2
  31921.  @TheMathSorcerer  thanks again, I appreciated it :)
    2
  31922. ✌🏼✌🏼
    2
  31923. Thanks man for all these videos! I'm now in grad school and as you said it was hard, it also really is. Your videos about these topics inspire me to go futher and get a lot of motivation.
    2
  31924. Funny how the video ended right at the end of that point
    2
  31925. can you add/create a road map series/playlist please? Also at what point you suggest using calculators, or software like sage?
    2
  31926. ^to progress in math. I am absolutely falling in love with learning math again, and it's filling in so many spaces in education
    2
  31927. I’ve been looking for using a ti84:(
    2
  31928. The Math Sorcerer I ended up just using statcrunch, but I just wanted to learn it on the ti84 because I can’t use stat crunch during a test yk
    2
  31929. The Math Sorcerer thank you. But don’t worry about it
    2
  31930. Oh wow I legit thought this was a joke but now I'm intrigued 😂
    2
  31931. gracias loco, abrazote (thanks dude, big hug for u) <3 i'll give u feedback in 12h
    2
  31932. I get this inner anxiety everytime I try to read my math textbook for a course I'm doing. I think it stems from struggling with math in highschool. I've been getting by fine by watching several videos on a topic (ie. getting as many different teachers points of view)... it works.. but I think you've just convinced me to give the books another try!!
    2
  31933. that was insanley good if you feel like it, go on and do more videos about this kind of topic:)
    2
  31934. EVERYONE has Stewart's 5th Edition.
    2
  31935. Love the channel and your channel enthusiasm. By the way are you a descendant of King Louis VI and Queen Marie Antoinette
    2
  31936. Hey! Great video as Always...I want to ask you do you have something about Euclidean geometry?
    2
  31937. I have the Thomas Calculus 11 edi. and I was thinking to buy the Stewart to cross reference. I am early 2000's college student that did not finished college but I reached to Cal. 3. I would like to "re-teach" myself math.
    2
  31938. Patience in anything goes a long way.
    2
  31939. This is so helpful , one day not so far form now I will also tell my story to The Math Sorcerer so it would inspire other people. I am preparing for such a comeback that it looks a bit impossible from the outside but my mind and hearth are set on the task. It would be really good to have the support of The Math Sorcerer or anyone out here on youtube.
    2
  31940. So at about noon my discord chat let me know I had 3 homework assignments due by 9:00pm tonight. I finished all of it 5 minutes before it was due, and I missed a total of 2 points over all of them. I am so much stronger after that mad rush! I was bouncing back and forth CONSTANTLY. I can spit a mistake so effectively! Great day, I remember why I picked mathematics!!!
    2
  31941.  @TheMathSorcerer  Please do a video were you share the bottom portion of your bookshelf.
    2
  31942. From all the humans to ever exist we have the easiest lives, most of us have food, friends, family and shelter. I believe this is the reason we struggle to take action, our intuition understands it's not being cornered.
    2
  31943. Theses are hugely important for trig students!!! I remember we were quizzed relentlessly on finding all values for the certain trig functions. What they don't tell you is... There's a pattern. These Patterns show up a lot in calc 2. :-)
    2
  31944. math is hard if you do not learn the fundamentals , if you do not learn the basics of it its like trying to build a house on quicksand instead of solid ground
    2
  31945. I always watch because of your video titles. Captivating
    2
  31946. Thankyouthankyouthankyou!!!
    2
  31947. I agree that one should have more books.. I have a lot of books.
    2
  31948. Interesting.
    2
  31949. I like you’re advices, I been having better grades thanks to you
    2
  31950. Thanks for this.
    2
  31951. Why im here i hate math...
    2
  31952. Maybe it's not a hatred but a frustration created by a school system that completely sucked at teaching mathematics
    2
  31953. Lots of books with lots of authors. TOP One for: ODE and BVP is Boyce and Diprima
    2
  31954. 9:54 wow this sorcerer can see the future! :C
    2
  31955. whats the different between the parameter and the sample?
    2
  31956. that calculator has seen better days
    2
  31957. No need for math to be fun, plenty of stress from math class to keep me going ;-;
    2
  31958. Thank you 🙏
    2
  31959. I'm doing math because it has fascinated me from the beginning until now and its the most powerful tool of mankind. Also i have the feeling that math can change the world over and over again.
    2
  31960. i could not have gotten through calc 2 ,3 or diffy q with out ya! you the man
    2
  31961. Thank you. Seriously.
    2
  31962.  @TheMathSorcerer  Yes, i saw how you did it, and was easy, thanksss. ✨
    2
  31963.  @TheMathSorcerer  Muchas gracias por la explicación. ✨👍
    2
  31964. If only more people did learn for the sake of learning alone, and NOT for money, the world would be good. And if only more people invented for free, instead of patenting, and selling, the world would be the Garden of Eden.
    2
  31965. Thank you.
    2
  31966. I subscribed to you because the way you teach makes more sense
    2
  31967. why cramming for a math test never works
    2
  31968. You can't cram. Learning math is like a marathon not a sprint.
    2
  31969. That Exam preparation bit was so true
    2
  31970. The fact this doesn’t just apply to math but every course ever. Chemistry, World History, Biology. They don’t give you enough time to process what you learn and then your fundamentals are fragile. Especially chem. Phew
    2
  31971. Beethoven and beer works for me. Especially when working on Real Analysis. Try it! BTW Congrats on reaching 100k Subs, I still remember when you had 10k.
    2
  31972. Very nice your videos! Help me a lot. Here in Brazil.
    2
  31973. I feel like my math professor watched this video or this guy took a course taught by my math professor. Bastards I say
    2
  31974. Thanks for the excellent review and new resource
    2
  31975. Sound of this video is very low
    2
  31976. lol you are good acting
    2
  31977. This video is aimed at Math Professors. Some people think this is serious, but it is not. Its a joke.
    2
  31978. Thanks for this video man. I've been thinking a lot if I should go to grad school or get another undergrad degree after I finish Physics. But I think that I should keep doing what I really love. Cheers from Brazil!
    2
  31979. Lip. condition is like here’s all the work for you in your epsilon delta proof done for you, and tells you recall you’ve got control over the size of |x - y| as always lol
    2
  31980. Is the first class limit is also called lower class limit?
    2
  31981.  @TheMathSorcerer  thank you
    2
  31982. Statistics was hard and it was hell.
    2
  31983. If it feels like an old MTG card, maybe someone will find it valuable to buy?
    2
  31984. hahaha I love word problems
    2
  31985. I love your math hair, sir.
    2
  31986. I think it's a good idea to expose oneself to differential equations techniques before going on to complex analysis because you'll have at least hints of k-forms and certain computations that will make some steps in a few of the CA proofs more obvious
    2
  31987. Merry Christmas Mr Sorcerer
    2
  31988. I love smelling books too!
    2
  31989. Every time you smell a book ... I can almost smell it myself. I freakin' love book smell :P
    2
  31990. nobody on earth would drop a pizza off a building implying this equation takes place on another planet QED
    2
  31991. mathLearningRate(math_digestion_time, concept_exposure_rate, concept_exposure_clarity, understanding_of_prerequisites, level_of_interest, level_of_motivation, available_time)
    2
  31992. After watching this video, I regret depending on my old math teacher to make me better at math for about 2 years, and it completely destroyed my mathematics.
    2
  31993. if its all about fullfilment. why do you need school. or a diploma. ? i taught myself electrical enggineering. i did it for the heck of it. tho a diploma would be nice. i dont need one. you can teach yourself.
    2
  31994. Okay but how much time should the breaks be for 1 hour session?
    2
  31995.  @TheMathSorcerer  thank you for helping us
    2
  31996. My brightness doesn't get below zero 💀😭
    2
  31997. Thanks for excellent informations. With sincere regards Rahul Rohtak.HARYANA
    2
  31998. Hello Math Sorcerer. I hope you are doing well. I have a question. Can you recommend me books about probability and statistics for Stock Market or gambling ?
    2
  31999.  @TheMathSorcerer  I love you I'm so happy
    2
  32000. For general undergraduate education, I can see EE being the hardest and Civil/Environmental Engineering being the easiest (sorry but there’s a reason why so many people choose the civil engineering EIT exam). Nuclear engineering can be challenging because you need a little more physics than other engineering fields and certain aspects of nuclear engineering overlap into other engineering fields . At the graduate and research level, you cannot really compare the engineering fields due to the overlap of the fields and difficulty of specific areas of science. At the PhD level, engineers in different fields should have the similar math and physics mastery. A nuclear engineer would study plasmas for fusion applications, while a chemical or electrical engineer would study plasmas for a coating process. An aerospace or mechanical engineer would study plasmas for hypersonic flight.
    2
  32001. Thank you
    2
  32002. Thanks for movie info, I hope its good. Need something else besides bobby fisher. always helpful and motivating.
    2
  32003. Lay was great... but I'm still not sure how to apply this knowledge at my job!
    2
  32004. I was hooked to the bird
    2
  32005. I appreciate you. And I would join if I could right now, because you are truly the best. I could pay you in amazing food, though! It seems every problem I am struggling with, I put it into you tube, and your face shows up with a way to understand it. Thank you so much. And I am not kidding about the food.:) Keep being you !!
    2
  32006. i can't beleive it is exact same in India
    2
  32007. Thanks for the explanations, you are way better than my lect.👍👍
    2
  32008. You need to check out this algebra 1 book. Modern algebra: Structure and method, Book one
    2
  32009. HALLLLO
    2
  32010. Is that soo..🙄🙄🙄🙄🙄🙄🙄
    2
  32011. Can you please make a video over nondimensionalization?
    2
  32012. Thank you sir!
    2
  32013. You are great motivational speaker for mathematician 👍
    2
  32014. People here are talking about hours per week, while I am thinking of hours per semester. 😶 Going to change that this semester and make it a few hours per week. Abstract Algebra II is fine now, but Topology I & II and Real Analysis I & II next year is going to be interesting.
    2
  32015. Surprisingly as a student getting his Econ MA math has never been easy for me 😅 definitely needed this video! Calculus needs to be my second language
    2
  32016. Can someone tell me which discrete math book is the best one for beginners amongst the ones from Susan Epp, Judith Gersting and Colman, Busby and Ross?
    2
  32017. If your asking the commentors to broach a recommendation, I have always liked the Gersting book
    2
  32018. Thank u!!!!
    2
  32019. thanks sir
    2
  32020. Thanks I needed this for my math modules and plus you made it easier
    2
  32021. On countries where college is "free," the higher standards might be a way of rationing the uni spots.
    2
  32022. Whenever I’m self-studying programming I prefer videos because I think watching the applications is pretty helpful for not getting discouraged, but when learning math or physics I definitely use books, because of the problems they have, the proofs are always friendly for the student cause they teach you how to construct logically the concept you’re working on. I’ve also started reading some of the books you recommend, so I encourage everyone to, beforehand, know in which way you learn the most & you feel more confortable and then search for the resources that fit that kind of learning. Good luck to everyone!!!
    2
  32023. Lip-SHITS
    2
  32024. comin back for final tomorrow, and I just realized, it's the first component of a row vector, then the second, then we take the derivative. It's way more straightforward than I remember XD. The 1 and 2 just tell us which is being replaced. and then it's, albeit barely, like we're integrating the unit component (very not accurate, prolly but it's easy to see it like that). From there we dot u and y for our particular, and all is well.
    2
  32025. What do you mean "the earth is not round"? hahaha
    2
  32026. People like you are priceless🫶
    2
  32027. Brilliant. This takes me back 40 years.
    2
  32028. Nice video. Might have to get this book for myself
    2
  32029. Cool. Learned something new in 3 minutes. 😊 Thanks.
    2
  32030. this helped so much thank u fr
    2
  32031. Great video your channel really changed my mind on maths I used to hate it now I study regularly but it doesn't feel like a chore anymore I actually look forward to it thanks
    2
  32032. Hello Hello Hello
    2
  32033. ancient proverb lol
    2
  32034. Homework by 9am is evil. Like you have one more day, but actually not
    2
  32035. Stumbled across this channel in senior year of high school failing mathematics like basic calculus. Retook the classes, got into university, and currently studying quantitative finance and financial accounting. After I plan to a masters in economics. I always thought I was mentally slower than the other kids but the truth is, math is something you have to do everyday and just practice. There are nights were I am stuck for hours, confused and lost. And others where I fly by the homework and tests. Ultimately, when you really start to understand mathematics, that's when the love for the subject grows.
    2
  32036. Limaçon is pronounced "lee-ma-sawn" as the C with the goatee makes an s sound
    2
  32037. The Math Sorcerer thank you for the recommendations!!
    2
  32038. I could cry right now!!! THANK YOU!!!!
    2
  32039. Teacher, i am sure you kniw how i need to improve my understanding of calculus to go on with my course of physics. Specially now that i am studying system and signs with Oppenhein 's book. I ll see if i can purchase this book. ✍️✍️✍️ Thank you for sharing.💚💚💚
    2
  32040. I was fortunate to take this class from Golub while I was at Stanford (before he passed away)
    2
  32041. Amazing book but I think very questions in the book.
    2
  32042. Why did you start by choosing c=0 ?
    2
  32043. These motivational vids are helpful!!
    2
  32044. Buenas mañanas xD, It's Buen dia
    2
  32045. Totally agree. The second I finished my Calculus 2 course I had this weird excitement of teaching myself Calculus. I guess that's why Newton was so efficient while he was away from Cambridge because he could study and experiment freely
    2
  32046. Holy cow a month ago I didn't get it, and now it seems freaking obvious! Yay:goodvibes:
    2
  32047. Yuppp. Shut down. Classes are all online and finals will be online as well. Super weird.
    2
  32048. Only way to learn is to do lots of pen and paper problems.
    2
  32049. Thank you so much man.You are really awesome.
    2
  32050. i always miswrite symbols so using pen would just be a huge annoyance
    2
  32051. Haha I just realized this is pretty much what you did, I guess I should have looked more carefully at yours before posting this.
    2
  32052. Thanks a lot for this professor, it helped a lot. I appreciate it
    2
  32053. I love this dude
    2
  32054. This video was the first I’ve seen here and I subscribed immediately after.
    2
  32055. what do u use to write the equations in your videos(software and hardware)?
    2
  32056.  @TheMathSorcerer  now I'm impressed with your handwriting.
    2
  32057. Gracias
    2
  32058. If I am able to purse a math degree, can an accredited online BS in Mathematics carry as much weight as a traditional college. Especially when it comes to a job or possibly getting a masters from another school. The reason I ask is Indiana State University offers an online degree.
    2
  32059.  @TheMathSorcerer  That helps out a lot. Can you maybe explain what would be some of the top jobs a mathematics degree can bring.
    2
  32060. awesome ! i need this for a numerical methods problem!!
    2
  32061. I read the thumbnail as "Stop trying to do this instead"
    2
  32062. I'm new to this channel here, and you always remind me of Sir Isaac Newton😂
    2
  32063. I'm only 1/4 through and this has already been a rather expensive YouTube video...
    2
  32064. thank you !
    2
  32065. This is why I quit math major. It was all about speed in exam. On my calculus 3 test. I was able to set up all the integral but unable to integrate it due to time run out. Which pretty dumb since integration is the easiest step
    2
  32066. Thanks!
    2
  32067. Please do a video about what statistics is and what they are used for in the real world.
    2
  32068. "We know the limit exists" - dude what?
    2
  32069. Thank you for this video.
    2
  32070. If only this video came out 16 years ago when I was in senior year of high school. But nonetheless, it's a really informative video by the way :)
    2
  32071. We need calculus 2 videos 🙏🏽
    2
  32072. I heard that algebraic topology is used everywhere Representation theory (via the stable module category) Algebraic geometry (via motivic homotopy theory) Graph theory (via work of Bissen and Tsemo) Category theory (via work of Rezk, among others) Universal algebra (via colored operads and PROPs) Mathematical physics (via TQFTs) Dynamical systems (via Gaucher's work on flows) Computer science (via work of David Spivak, among others)
    2
  32073. I LOVE that shirt!
    2
  32074. thank you so much!!
    2
  32075. Going on to my second year in Computer Science, I needed this. Thank you
    2
  32076. Can you recommend some problem books on calculus and real analysis?
    2
  32077.  @TheMathSorcerer  thank you
    2
  32078. He who has a why can bear almost any how
    2
  32079. I might have to check this out!!!!
    2
  32080. First!
    2
  32081. This playlist is my real professor. I just mute zoom and watch this
    2
  32082. Very nyc explanation
    2
  32083. ez
    2
  32084. So from the title: log(x)=log_10(x). We have change of bases so (ln(x)/ln(10))/ln(x)=1/ln(10) which is a constant function at about a third, but only for x>0. Watch me remember math wrong lol
    2
  32085. Dang it! ln(1)=0 duuuuuuh
    2
  32086. I knew it was supposed to have a trick, should've paid attention XD
    2
  32087. Thanks.
    2
  32088. You remind me of Isaac Newton somehow
    2
  32089. Has everyone stopped dressing up since corona?
    2
  32090. at UCSD 62% in a math midterm is passing. I am pretty sure the math professors here at UCSD think that if the whole class doesn’t fail the midterm than they have made it too easy. How can a professor say on the first day that I am going to curve the grade heavily. Wtf is happening at the University!!?
    2
  32091. Lol I’m still in limits😆
    2
  32092. In the last example, could you use the vertical line meaning ”such that” instead of s.t?
    2
  32093. Sir , Make some videos on q-algebra , grassmann algebra , kähler algebra , C* algebra, W-algebra books 📚. It will very help for us.
    2
  32094. Your hard is not equal to my hard tho
    2
  32095. Thank you this is so helpful!
    2
  32096. epic
    2
  32097. Inspiring ~ Such sensational wisdom!!
    2
  32098. Will you do a review about he's final book of the analysis trilogy, Functional Analysis? You know the one begins with TVS. Oftentimes he gives the theorem in F-spaces instead of Banach spaces if possible. By the way, I really love how Rudin manipulate logic chains in his book. For example, to prove that "if P then Q", let's show that if Q is false then P is false. Another example. We already know that "if P and Q, then R". Therefore if we show that for some functions, Q is true, R is false, then P is false for them.
    2
  32099. proofs has nothing to do with college algebra look at the book "finite math for dummies" or "College Algebra DeMYSTiFieD"
    2
  32100. Thank you. I liked that you did it more than 1 way. It got me to try to think of other ways to work it out just for fun. I added -6 and 6 to the numerator. Used diff of squares & got conjugate factors & then did some simplyfing. You & Sal Khan have helped me find joy in doing calculus.
    2
  32101. Please make a video about calculus by howard anton.
    2
  32102. That’s literally my classes in a nutshell
    2
  32103. get some cardio ;)
    2
  32104. You buy stocks when you can remote view
    2
  32105. I thought you were a woman from the thumbnail .. I’m so sorry
    2
  32106. I’ve noticed that insight can come from repetition. Don’t understand it the first time, keep trying
    2
  32107. I'm an astrophysics major and I haven't done maths in over 3 months!... No wait that's not a good thing. 40% of the classes are pure maths...
    2
  32108. so naive of me to think that he was gonna talking about modern algebra (groups, rings, fields, spaces and stuff)
    2
  32109. I like your content, math books collector, magic, intelligent investor, books as weigths lol
    2
  32110. Back in the 80s the process for an undergrad was to first study for the EIT (engineer in training) and then a number of years and work experience later you would sit for the PE exam. I think it is similar today. The material covered was from a standard undergrad accredited program. Roughly your required classes included math: Calc series, linear algebra, complex variables, diffeq, probability, computational methods science: physics, chemistry general engineering: statics, dynamics, thermodynamics EE: overview course, circuits, signals+systems, analog circuits, digital circuits, computer engineering overview, power systems, E&M EE electives So yes, a lot of math specific to each subject
    2
  32111. I only use pens when doing math. I don't even think I own a pencil. Just cross it out. Erasing is for suckers.
    2
  32112. Love you man.
    2
  32113. A most inspiring video!
    2
  32114. Oh, dude. I am jealous.
    2
  32115.  @TheMathSorcerer  I have Algebra-I as a course right now and my friends are usually baffled at how I state out the theorems quickly. The examples in this book really help out a lot.
    2
  32116. these types make people hate math.We have them too...
    2
  32117. I started loving math when I was 5 when I discovered multiplication and division by looking at a clock. I started getting serious about math when I found the power in its practicality as a freshman in college.
    2
  32118. i just learned that i haven't got 1000 dollars to buy 10 books on mathamatics
    2
  32119. Beautiful book
    2
  32120. I disagree with you. No one is saying that we should not do the hard work and try to solve problems. But if answers to problems are missing, we don't know if we are correct or incorrect. When it comes to proofs, I'd like to see entire solutions given. It is then up to the reader to decide if he wants to learn math or not. If he dips into the solutions without doing his fair bit, then it is he who loses it. The rest of us folks should not have to suffer not knowing whether are right or wrong because of him.
    2
  32121. Thanks!
    2
  32122. I literally just started this video but really wanna say thanks. Getting past the first second or two was hard (looking at all those books lol), but hearing that the very first book doesn't require algebra was extremely reassuring. As someone who never really learned math, it's been hard to find a good literary starting point. Definitely gonna give this first one a shot.
    2
  32123. Thanks
    2
  32124. Thank you so much
    2
  32125. thx prof I should relook my sleep schedule
    2
  32126. Thanks man😘😘😘😘😘😘
    2
  32127. Thank you professor, you're courageous me a lot
    2
  32128. Will I be able too? I forgot all the little high school math I've ever managed to know
    2
  32129. Yeah!
    2
  32130. Man looks like Jeff Bezos
    2
  32131. I grew up in a country where English is the official language, a legacy of British colonization. Although my English proficiency is intermediate, I've made an interesting observation. Despite speaking my native language at home and elsewhere, I find that I grasp mathematical concepts more easily in my native language. This is because my native language has a simpler vocabulary and sentence structure, whereas English is more sophisticated and complex. I've come to realize that difficulties in learning math can sometimes be attributed to the challenges of grammar and sentence structure. To illustrate this point, let's consider learning calculus in my native language. The explanation and teaching style would be akin to explaining why a dog barks to an 8-year-old – straightforward and easy to comprehend. Whereas teaching calculus in English is he opposite.
    2
  32132. Some people may find this to be more on the harder side of things, because they don't remember the Quotient Rule. Back when I took Calc I in the Stone Age (Well, not really the Stone Age), this is how I remembered the Quotient Rule: "low d-high minus high d-low all over low-squared (some people might say the "low-squared" part as "low-low," though)."
    2
  32133. this seems OP
    2
  32134. Thanks for the video! Got a midterm tomorrow
    2
  32135. Looking at that pile of books makes me have some weird thoughts, like put them together into a single book, title it something like "the god's word" or "the real quran or bible" and fall asleep with that on top of me 😍
    2
  32136. common core math for the long division, addition and subtraction. I was taught the old way before common core. But they are teaching math such as addition, subtraction, division in a lot more creative way than they taught us. Common core is going to prepare kids for algebra by the time they are in 4th or 5th grades because the way it teaches addition, subtraction, division. . So I suggest going over the common core way of learning math regardless of your age if you need to refresh your memory about those math topics. I don't need to refresh my memory on addiction, subtraction or division. However I have been watching videos about common core math because it is a very interesting way to do math.
    2
  32137. Sir, what do you think about the current push that seems to be saying that at the high school level, "Statistics should replace Calculus"?
    2
  32138. This is fantastic! Thank you so much. I think I can do my homework now! :)
    2
  32139. The video is hilarious
    2
  32140. Can a mathematician become theoretical physicist?
    2
  32141. Thanks to professor for advices
    2
  32142. You have amazing videos. I would really like a video of your personal life and what made you go into mathematics
    2
  32143.  @TheMathSorcerer  Thank you, I only wanted to buy one, and it looks like you have reviewed a few!
    2
  32144. So is f(x) and g(x) any function just like C is any number?
    2
  32145. Thank you for this!
    2
  32146. First watching. Uploaded 9s ago 😂
    2
  32147.  @TheMathSorcerer  All silliness aside, great video. I am always so afraid to fail, I push off starting.
    2
  32148. thank you
    2
  32149. Could you make that more rigorous please?
    2
  32150. Here's a problem in plane geometry that has been driving me nuts as its so easy to state: A point in the interior of an equilateral triangle is 3 units from vertex A, 4 units from vertex B, and 5 units from vertex C. Determine this triangles area. I admittedly stayed up most of the night thinking about this and most of the next day but had to move on. Hope to come back to it though when the semester is over!
    2
  32151. That was a cool and unique trick you used, very well done and inspiring. Nothing gets the brain working quite like mathematics. Which mathematicians did you look up to in university when you were a student or even now?
    2
  32152. Thank You 🤝
    2
  32153. This sounds weird but I find your voice soothing.
    2
  32154. I use Art Of Problem Solving series for most of my textbooks. However I’m not sure if they are the best ones to use. If you have read them, are they worth the read?
    2
  32155.  @TheMathSorcerer  Yay! Thank you.
    2
  32156. Online tests due to covid 19 is killing my speed skills in testing. Our professors always give us 24 hours or even a whole weekend to sit exams. Plus since its taken from home, its open book with internet access. I am going to be f@%ked when I return to a traditional testing environment.
    2
  32157.  @TheMathSorcerer  here's to wishful thinking lol
    2
  32158. Let u be the math journey all of us take, then du will be our derivative, but knowing that, the solution to our problem is The Math Sorcerer + C.
    2
  32159. Hello, I got two questions : Is there a reason why "How to prove it" would be recommended more than "book of proofs" or "proofs" by Jay Cummings? Second, would you recommend "all the math you missed" for a non mathematician? I mean, in Control system engineering, there are a bunch of mathematics, but you don't need to know all the details like a math major would do. The ideal scenario is of course to know math at a graduate level, but time is a limiting factor. So, is this book a good way to go to be able to study more advanced topics in engineering without having to be concerned too much by mathematical knowledge? Maybe you could answer this in a video for physicists and engineers ;) Thank you for your videos!
    2
  32160. I am defeating it by watching this video haha
    2
  32161. Awesome video!
    2
  32162. Lo del número Pi no creo que sea cierto porque Pi es un número irracional, y los irracionales por definición no pueden expresarse como cociente de 2 números. Si fuese correcto, Pi sería un número racional pero no cumple con las propiedades de números racionales. Por ello sería conveniente decir que el cociente de longitud de circunferencia entre el diámetro es una aproximación al número Pi irracional, que requiere de cocientes infinitos: https://es.wikipedia.org/wiki/Demostraci%C3%B3n_de_la_irracionalidad_de_%CF%80#:~:text=Se%20puede%20demostrar%20que%20%CF%80,deber%C3%ADa%20existir%20tal%20fracci%C3%B3n%20continua. Tus clases son de calidad. Buen trabajo.
    2
  32163. can you do a video on the general equation of a 2nd degree curve ,and then finding its eccentricity, centre of curve etc from there ..Love from India
    2
  32164. Hey, what is that yellow book in the background? https://i.imgur.com/aYdlHlk.png
    2
  32165. Thank you sir that very helpful
    2
  32166. Can the minimum usual value be a negative number? for example if your mean was 0.85 and sd was 0.84. Mean -2sd= 0.85 - 2(0.84)= 0.85-1.68 = -0.83. Is that possible?
    2
  32167. hey please help me to learn maths how should i start from beggining ;) please i wanna think deep with the help of maths how should i start :) please guide me how should i start and from which topic
    2
  32168. Hello Sir i know and believe that if you say best wishes to me i will pass my engineering mathematics exam on 6April
    2
  32169. Gandalf was sent to middle earth, This man was sent to all the earth ! you are the best sir!
    2
  32170. Thank you sir 🙏
    2
  32171. I'm a physics major and this happens to me so often with physics but the video applies to me too :D
    2
  32172. The only thing I like to add is the gainz.
    2
  32173. Thank you Isaac Newton
    2
  32174. Great video, I’m now inspired to read the discrete mathematical structures book, thanks!
    2
  32175. I thought your gonna say high IQ level 🙄 thanks you didn’t cause for an average joe trying hard to ace the class next time that would been a devastating hit 😂😂
    2
  32176. Thank you so much
    2
  32177. In my opinion motivation is finite. We are always chasing the "thing" but then we miss the present, enjoy the grind, enjoy the process. Raja Yoga for example teaches work for works sake. If you're dancing to music for example, you dont care about whats happing in 5 minutes or whats already happened, you are simply locked into the present. If you are doing something then why not be doing it for the sake of doing it, with no expectation of reward or recognition other than the reward of the work itself. All forms of existence include suffering, learning as well. Its a painful process but so is just sitting down, watching netflix and giving up. Just my 2c, thanks for the content!
    2
  32178. I switched just now at 21!
    2
  32179. You can study math. I do every day.
    2
  32180. It took me about 15 years of independent attempts to master at least an elementary school course in mathematics to understand that the main thing is to move forward, and there is no need to get stuck in incomprehensible places for a long time. The trick is they often say that math is a building where every floor is impossible without the previous one and it's important to get one thing right before moving on to the next, right haha?
    2
  32181. thanx!
    2
  32182. What was the average
    2
  32183. The Math Sorcerer that’s an A with the curve😂
    2
  32184. OMG.thank you so much!!!🤩😜
    2
  32185. 10 weeks wait time for me to get the book in Belgium :(
    2
  32186. the much-needed potion (for me)
    2
  32187. Thank you
    2
  32188. JAJAJAJA the intro was so good
    2
  32189. Bought my first 89 when it was released, still use it today. I have a bunch of TI calcs - 30, 30X, 36X, 82, 85, 86, 83, 84, pluses of the 83 and 84, 84 Python CE, a couple 89s and 89-TIs. HP-32II, 28, 48, 49, lx100 and a bunch of the newer Casio and Sharps. Always go back to the 89, hate the rechargeable trend on the new TI calcs now - a set of AAAs lasts years. Refuse to use the Casios because of where the On/Off buttons are. Love the RPN HPs though for doing actual calculations. When at my desk though - mostly use google for simple calcs and Mathematica or Python for anything else.
    2
  32190. Thanq thanq thanq sir👍👍👍👍👍👍
    2
  32191. What do you think about " Complex Variables theory and application " H.S. Kasana? Means is it good or bad ?
    2
  32192. I know such requests are anathema for pure mathematicians, but would it hurt to give a simple, even trivial, real world application? I immediately saw plenty of use cases in probability (thanks to the p in the equation) , but I am a retired industrial designer, not a smart 14 year old who lacks my worldly experience. (:
    2
  32193. Beautiful video... loved it... On a different note...There is so much paper wastage... maths requires a lot of wastage of white space on paper. Im thinking those e ink writing writing tablets might be the way forward....
    2
  32194. I was already laughing seeing the thumbnail...but the content is actually brilliantly funny 😂
    2
  32195.  @TheMathSorcerer  Do you require the students to memorize formulas?
    2
  32196. Nice
    2
  32197. You give better advice about studying math than my advisor.
    2
  32198. There's always that one math professor who holds the felt pen or cray in a weird way (btw why are you working on a white board? black board is the only proper tool to do math on)?
    2
  32199. $150 off of Amazon. Jesus Christ!
    2
  32200. you look like jeff bezos with hair
    2
  32201. I would say the best thing to do for math is to understand the fundamentals do problems watch a video if you can't understand the concept still stuck take a break come back painless algebra is a good book for basics in algebra but, doing problems is the best way to engrave the concept into your mind I prefer books because you can't passively read a book with a video you can.
    2
  32202. Here is the original video. https://www.youtube.com/watch?v=XKBX0r3J-9Y&t=557s
    2
  32203. Professor Leonard on You Tube is an amazing math instructor. Watch his videos. He is really cool.
    2
  32204. Thank you! Keep the videos coming; they are rays of sunshine in these dark times lol.
    2
  32205. Thank you Math Sorcerer I can follow this being I have some background in math. I'm just trying to be more focused and actually spend time doing math so thank you for the motivation and the videos and this great lecture!
    2
  32206. Simply explained!thanks
    2
  32207. That's right ... I've learned calculus in 12th grade .....
    2
  32208.  @Learner-y8c  yep I respect that .....
    2
  32209. What.....! he is jacked ? did not realized this lol. Has been trying to transform into body builder math teacher?
    2
  32210. Math is an art. It is a language. Approach it as an art. Rest. Mellow. And enjoy it.
    2
  32211. Interesting to see this here :) I have "the new" encyclopedia myself
    2
  32212. I might get one for someone I know
    2
  32213. Paper and pencil(or pen) just feels different
    2
  32214. When you help somebody it cement your knowledge of the subject
    2
  32215. Math just became so much more interesting to me, tempted to begin self study
    2
  32216.  @TheMathSorcerer exactly, it seems I just literally purchased a copy of Susanna Epp's Discrete Mathematics with Application 3rd edition 👽20 bucks over at ValoreBooks
    2
  32217. you are awesome, thank you
    2
  32218. I use this same strategy when I rewrite my homework exercises. I rework the problems without looking at the answer.
    2
  32219. Big help thanks :)
    2
  32220. Thank you 😄
    2
  32221. I never imagined I'd see Jeff Bezos with hair
    2
  32222. I have a question .. is trying to solve one problem and taking more than 1 h to solve it is it good to improve my math skills? if i can't solve it , is it better to search for answer or keep trying to solve it? i'm college student and major in astronomy and I'm good at math.
    2
  32223. Hmm, that's pretty little book. But still could be used for chest training
    2
  32224. great end of month/funds book thanks
    2
  32225. Thank you very much, you are a great person.
    2
  32226. This guy is a legend
    2
  32227. Hey, in a previous video you showed the book 'College algebra and trigonometry' by Louis Leithold. I was wondering were did you find that book? I looked many places but couldn't find it.
    2
  32228. Amazing sir!
    2
  32229. 01:23 wartime shortages
    2
  32230. This is crazy. I figure it would take somebody like me (lowest of the low) 10 lives span to read and maybe understand a little all this stuff. Who are these people who wrote these books anyway? Super humans?
    2
  32231. Nice book man!
    2
  32232. awsome channel.........it makes me remember my past days ...................keep it up
    2
  32233. 😂 nice
    2
  32234. 😂😂
    2
  32235. 12yo churchill complex analysis
    2
  32236. currently taking precalc. loving these trig verifications, thanks so much!
    2
  32237. Is this true always?
    2
  32238. The 4th thing is a real one. I’m a math major myself and I am one of those (perhaps few) people who find analysis to be ‘easier’ than combinatorics. In high school, I struggled with counting problems, but I always thought that I just haven’t seen that many of counting before, so I decided to try a combinatorics class in college. While my interest in the subject grew, I had a miserable semester. Some of the problems took me a whole day, and most of my answers were inspired by my classmates’ ideas. In retrospect, I should add that my lack of experience in counting/thinking in discrete terms probably still had an effect on this. But the bottom line is, regardless of experience or natural inclination, it is important to be mindful when you are choosing your math classes. P.S. combinatorics/graph theory is a cool field of math though. Definitely a refreshing perspective on math. Some of the notions you learn may even help you in probability or geometry. So, do give it a try!
    2
  32239. At the VERY LEAST memorize where you can find it again. book: memorize the chapter google: memorize the name
    2
  32240. Hey, man I started out struggling a lot in Calc 2. My first quiz I got a 75%. Next quiz I got an 80%. First exam comes around and what score do I get? A whopping 100%. Progress is progress. I just got to keep it up, work and volume really screwed me up in the beginning. Personally, I think calc 2 is hard because they just throw alot more at you than in calc 1. In Calc 1, it’s just basic derivatives, limits and basic integrals. In Calc 2, they basically take the training wheels off and say “you’re the man of the house now.” That’s why it’s hard. It’s just way more complex than Calc 1.
    2
  32241. Thanks budd u should get a plenty of subs
    2
  32242. I say thank you for your simple clarification
    2
  32243. the irony is the fact it took quite a while to get to the point worth to wait for it hilarious
    2
  32244. Bro looks like jeff bezos
    2
  32245. I want and love to study for Economics and Econometrics.👍
    2
  32246. Is this book available in soft form?
    2
  32247. Muy caliente
    2
  32248. Same here.
    2
  32249.  @TheMathSorcerer  How do professors have time to write books?
    2
  32250. I recently saw your video of the analysis exam in which nobody got an A. I think you would appreciate some of the problems from a certain notorious test, called the TIFR-GS Mathematics exam from India. I assure you that it's a rewarding experience trying to work through each problem. I recall solving a problem with a fact I picked up from this very book. It's really fun and challenging, and mostly posed in a similar flavor to Artin's problems. Hope you do check it out.
    2
  32251.  @TheMathSorcerer  A lot of the past years' questions are available online: http://univ.tifr.res.in/gs2020/Prev_QP/Prev_QP.htm They're basically meant for students who want admission to the Graduate school at Tata Institute of Fundamental Research. Hope you like them!
    2
  32252. I think i found my new favorite youtube channel
    2
  32253. I searched this just to find out how to read it
    2
  32254. If only A. Prince booked marked with $20.00 bills (3:06). Now I feel like book hunting.
    2
  32255. I saw the thumbnail and thought the answer was going to be hands
    2
  32256. Excellent video.
    2
  32257. This made me laugh so hard.
    2
  32258. I am broke because I took your books recommendation. Been collecting them since. 😅. Now I need to practice it. It becomes my new hobby to learn math again.
    2
  32259. I needed this
    2
  32260. i love this! you explained slowly (much slower than my teacher) so i could actually understand it, and your voice is so pretty!
    2
  32261. Thank you
    2
  32262. U look like jeff Bezos
    2
  32263. i have no memory of ever writing this
    2
  32264. or watching this video
    2
  32265. Woww
    2
  32266. No, never a pen; I always use pencils (0.5 mm mechanical ones)... Pen ink smells on long term use too, which is annoying. Coming to the review book: it seems to cover the basic physical core of electrical engineering: AC and DC RLC circuits, solid state devices, electronics, power systems, and a bunch of mathematical materials from signals & systems, transformations, differential equations, control, communications and digital logic. Seems like a handy one.
    2
  32267. I have an old Schaum's Outline Series math book by Frank Ayres that has a section covering spherical trigonometry. Of course Schaum's books are noted for having many worked problems, and accurate answers to all the exercise sets.
    2
  32268. I think the brain is a gland
    2
  32269. Hindi me
    2
  32270. All of them.
    2
  32271. I never understood this concept .. until this video .. professors always thought that this was common knowledge , thanks for the explanation .. really appreciated
    2
  32272. What do you think of audiobooks vs traditional books
    2
  32273.  @TheMathSorcerer  thanks man I'mma use this technique from now on and see if it works
    2
  32274.  @TheMathSorcerer  thanks so much
    2
  32275. Best calculus 1 textbooks?
    2
  32276. "and the homework is just.... good to do" if that isn't the most accurate thing I have ever heard I don't know what is
    2
  32277. This is very entertaining
    2
  32278. Thank you sir...just completed my assignment problem
    2
  32279. cant wait for the "industrial revolution and its consequence" video
    2
  32280. Thank you
    2
  32281. Have been doing some math on the simple preliminary algebra to understand the properties of roots in the quadratic equation ...the book Mathematical methods for physics and engineering ,stated some product notation to derive the roots and I was struggling to understand that and wasn’t able to link it...I spent almost my entire day staring nd trying to make a sense out of it but still there are many things which I didn’t get ...though I referred to some videos ,there wasn’t any mention of a similar proof...in such situations how to we cope up to Maintain the consistency...it’s quite overwhelming I left it for the time being and moved to the other sections of the book...could you advise what needs to be done in such cases..
    2
  32282. Examinations kill the Fun of learning
    2
  32283. Hello math sorcerer . I had a question; How many physics courses did you take in university during years 3 and 4 ? (If any as you did mention taking physics 1,2,3 during years 1 and 2) Thanks for the informative content.
    2
  32284. Thanks
    2
  32285. Awesome! Thank you!
    2
  32286. Hey, can you make a video on the Putnam? Maybe one that talks about how to best prepare for it, or any auxiliaries of that
    2
  32287.  @TheMathSorcerer  can’t wait :)
    2
  32288. i subscribed at the one minute and fifty seven seconds mark. A superb reviewer with an easy to listen to voice!!! Top Marks. :)
    2
  32289. Hilarious. Love your videos!
    2
  32290. You really are putting your heart out there and doing your part for this world that is and is to come. Us, today's Youth really needs it. You're an angel to so many.
    2
  32291. An immediate like and follow for those who goes straight to the point!!!!
    2
  32292. lol
    2
  32293. So good👌 Keep going
    2
  32294. If you don't have any basic knowledge of maths, you should enroll yourselves in a school to learn the basic first, instead of reading books of mathematics because there are numerous flaws and defective holes in concepts of mathematics by mathematicians of previous centuries when human development was not so much improved as it has been today. Unless you have inborn ability for self-studying, it is the best take some basic courses before trying to study such concepts of natural science on your own.
    2
  32295. I think this Schaum's Logic book is really good on propositional and predicate logic (the mathy, proof stuff). From an introduction and elimination rule for each of the five basic operators of propositional logic and for each of the two quantifiers of the predicate logic, you just learn to prove everything. Although the method of laying out the proofs is highly structured, with numbered steps and meaningful indentations, working through this gave me good background for writing mathematical proofs that aren't in such a rigid format. The Schaum book is very lean in its presentation, though. Things are stated very succinctly, and then it's off to the rigid proofs. So I did ease my way into the Schaums by first doing the propositional and predicate logic chapters (6-8) in my 13th edition of Hurley and Watson's "A Concise Introduction to Logic" first. Despite its title, it's a lot less concise than Schaums and really helped me ease into and make the most of Schaum's beautiful, elegant presentation. (Of course, inductive logic is good, too. Not mathy, but very useful for evaluating the arguments you encounter day-to-day.)
    2
  32296. From now this is my main table video.
    2
  32297. My cal teacher doesn’t use a textbook, it’s all lecture based.
    2
  32298. Topology and exterior algebra and linear algebra. Some c++. And eating too much.
    2
  32299. Start Solving Jee Advanced Maths problems youll be wizard
    2
  32300. Thank you!
    2
  32301. Y sigue...
    2
  32302. So true. In highschool, whether I did well or poorly in a subject had a lot to do with the personality of the teacher. I did not even realize that I liked mathematics until I had left highschool and did some exploration on my own. You never really know how intersting math is until you take the facts you have learned and explore further on your own. You may not discover anything new, but it's new to you, and that's what counts.
    2
  32303. first
    2
  32304. I have a learning disability, but that hasn't stopped me from succeeding in my educational goals.
    2
  32305. im one of "those people" and im consciously aware that i and everyone else like me just thinks of math differently, i dont know how to quite put it into words but i remember when one of my classmates asked for help on a problem, he explained his thought process and it was just so much more complicated then how i went about it. I just seem to notice different patterns in math
    2
  32306. Saved my day!
    2
  32307. The shortes and understandable vide 👍
    2
  32308. Just started taking math classes at 35 in hopes of getting a Bachelor's (and maybe more) in Physics. Your videos are great inspiration.
    2
  32309. The Math Sorcerer will like this comment.
    2
  32310. صف رابع علمي جاي اشوف هاي معادلة يلي أستاذ جابها من مريخ وهيا ماعدنا 🤦🏻‍♂️💔
    2
  32311. 'Be' + 'Yaarne' + ......
    2
  32312. Yeah I have that
    2
  32313. thank youuu 🙏🏽🙏🏽
    2
  32314. i love ya
    2
  32315. I feel like a genius. I thought to myself, "Well that seems like a waste of fuel and time.'
    2
  32316. Who's karen?
    2
  32317.  @TheMathSorcerer  thanks , now I understood
    2
  32318. First! [Always wanted to do this.]
    2
  32319. Bro thank you so much
    2
  32320. We want more videos of it ❤
    2
  32321. Seems awesome thanks
    2
  32322. i TOTOALLY luv u dude!! if everyone HEARS what you're saying they'll learn math!
    2
  32323. Long Live Bro ✊🏿❤️
    2
  32324. I am doing undergrad in physics and had a course in linear algebra. So will it be a helpful book??
    2
  32325. Thank u ❤️❤️❤️
    2
  32326. Not sure if I understand this correctly, but can someone explain why we can or can't find the maximum distance? It seems that there doesn't seem to be a critical point that exists for the distance function if we tried but I would like a further explanation if possible.
    2
  32327. He doesn’t blink!
    2
  32328. Thank you so much
    2
  32329. This is a great book (Edwards/Penny) for EE's. I found it a couple months ago at half price books for $10. The LaPlace transforms section is excellent - I haven't got through the whole book but it's really clear and easy to follow for self study. A much better presentation than I had at school 50 years ago...
    2
  32330. Thank you sir
    2
  32331. you are lucky man
    2
  32332. Huh I thought about looking for something like this since I miss studying maths. I'm lucky that YouTube recommended it.
    2
  32333. Someone did the fucking quadrupole integral and thays why we have 2020
    2
  32334. Sir your video keeps us motivated , could you please explain how to read the theorems and understand it properly and apply those in solving sums .
    2
  32335. I'm almost buying the How To Prove It.. but it's just 1/4 of the minimum wage in my country lol
    2
  32336. the first chapter of any subject is easy to remember but as you progress on through the whole course, one tends to get hazy about the first things that you learnt
    2
  32337. Can anyone recommend a good book on Measure theory?
    2
  32338. Apparently that's what happened to Gregory Perelman, after 7 years of nonstop work which resulted in proving the Poincare conjecture. Except in his case the burnout was so severe and complete, that he could never recover from it.
    2
  32339. Wish i could sub this to portuguese
    2
  32340. Loove your work, it's the best! I'm surprised you focus so much on answered problems. Personally I found it an apt advancement when entering higher math (as a self-student) NOT to have the answers. I feel it makes solving the exercise feel like actually doing math, instead of doing a quiz or a test (which doesn't, I feel personally, feel like doing math that much). Keep it up if you please, you are inspiring me to open a math bookshop in Berlin as soon as possible (and of course to do math as a self-student, which feels, from the inside, like THE ONLY way to do math :D ) Dave, CPH DK
    2
  32341. The fact that there was a cut directly after you said "math is supposed to be fun" lets me know there is a HUGE asterisk next to that statement xD
    2
  32342. Nice and helpful video 👍👍
    2
  32343. Thank you for this video excellent job sir.
    2
  32344. Thank you sir!!! I could solve my homework 🙏
    2
  32345. This video was superrr helpful for me now that my PDE class is covering series solutions (for some reason this material is covered in a PDE class instead of the ODE class). Do you have any videos/lectures discussing Frobenius series solutions?
    2
  32346. thanks for the great info love you sorcerer I loved ur proofs udemy course btw
    2
  32347. Damn I didn’t know you were swole
    2
  32348. Just commenting for the algorithm
    2
  32349. My first year calculus book. I bought it in 1980 and still have it.
    2
  32350. Thank you so much!!!.
    2
  32351. Have the “updated edition” or something. Great read!
    2
  32352. I wish this dude was my intro to analysis teach 😢
    2
  32353. I know this was just a funny vid and not my class but I got mad anxiety watching this
    2
  32354. Why do you keep saying maths is hard? 😭
    2
  32355. Can you suggest a good book to study permutations, Combinations and Binomial theorem cuz I study them at high school and didn't find a textbook that covers them with a good amount of exercises. help😔
    2
  32356. This is really a good thing to hear. Thanks from Brazil!
    2
  32357. You’ve got a good sense of smell. I’ve never smelled a book from that far away, and I’ve owned some pretty smelly books in my time.
    2
  32358. Yo wassup dude, amazing vid as always, do you have a book recommendation for asymptotic analysis ? thanks !
    2
  32359. There’s indeed a third part to Jacobson’s lecture in abstract algebra series and it’s on Galois Theory
    2
  32360. So you're telling these people to be "that guy", amirite! You've been in class and heard it before, "Oh God, here come, THAT GUY!" "Which guy!" "You know, that guy that always thinks he's got the answers. Jerk!"
    2
  32361. My quickest and easiest pizza is just small baguette, butter, tomato pickles, cheese slices, and salt & pepper.
    2
  32362. Woah '-'
    2
  32363. Thank you - I look forward to these short videos like this where you solve a problem with clear explanation
    2
  32364. I believe in my self, but i don't have the discipline to keep reading and doing excersices. Pretty frustrating because i know i can do it but i can't make My mind to keep working
    2
  32365.  @TheMathSorcerer  thanks for the tips man, i will keep going. Great vids, we (people into math) need a bigger community
    2
  32366. Im taking PDE next sem.. looking forward to it
    2
  32367. How much price in nepal
    2
  32368. Differential equations, not talking about passing the class, I am talking about how hard the problems can get
    2
  32369. I miss solving maths problems in school. I'm a medical student rn. There is only biology all around me. 😅
    2
  32370. Some of what he said is me. I guess that means I'm straight.
    2
  32371. Where is this school so i can apply
    2
  32372. This one really hit home for me, i struggle with setting goals and sticking to them. I definitely think this is more up my alley, life is really chaotic and i find that all it takes is one little trip up and my whole plan spirals out of control. I think i can apply this to more areas of my life than just maths. Thanks so much for sharing your wisdom!
    2
  32373. Actually my math teacher praises Wolfram Alpha every lecture
    2
  32374. I love books and i hate the lack of time to speedrun books within 24 hours.
    2
  32375. 16:50 If you pronounce the word FUNGI as /fʌngaɪ, fʌngi/, you might as well keep pronouncing FOCI as /foʊkaɪ/. Not everytime we must obey the vowels E,I and soften our C,Gs. 17:50 For orientation it is easier to just enter the sign into the sine (he he he... 🤣😂)
    2
  32376. The math education seems to vary wildly in America. Here in the Bay Area, it’s pretty standard for STEM focused students to take AP Calc BC by 11th grade (granted most of us are going into science/tech/business, not math).
    2
  32377. As a quick and dirty video, I would love to see you just pan your entire bookcase shelving slowly enough (and in focus) to see all your books ... one could always stop the video if he/she wanted to write down a title or author. Thanks!
    2
  32378. Cuanto más brillante más se debe trabajar. El único lugar donde la brillantez está delante del esfuerzo es en el diccionario. Only place where success is before work is dictionary. When not in dictionary , both goes hand in hand
    2
  32379. Hey Math Sorcerer. Just wanted to tell you that my copy of Higher Algebra arrived today and it smells aaaaamazing! It smells like an old library. 😃😀🙃
    2
  32380.  @TheMathSorcerer  Yeah man!! lol 🤣 Keep it up, you are awesome!
    2
  32381. Are you training? I mean are you fight training? I can see the muscles gaining in size.
    2
  32382. I am not criticizing but you look like Isaac Newton
    2
  32383. you are totally right when you say thing takes time especially in maths.But ,the exam board does not understand this though.
    2
  32384.  @TheMathSorcerer  sure thing.Im from mauritius and to be honest its because of you i love maths.Love your motivational videos.
    2
  32385. 8:22 made me chuckle. I said wow twice just as you did haha!
    2
  32386. Thanks for sharing
    2
  32387. This is great advice, thank you
    2
  32388. Click aways!
    2
  32389.  @TheMathSorcerer  again just requesting you to make a video for jee aspirants
    2
  32390. To become an algebra god, it's my dream😈
    2
  32391. Mir publishers books always rock...💪💪💪
    2
  32392. Can you review Calculus I (or the series I-III) by Weinstein?
    2
  32393. Youtube recommending me this as I'm about to fail my math exam in a few days lmao
    2
  32394. people think stonks is a hedge against inflation unless it starts crash like a rock ahaha, because stonks is considered to be a risk asset. of course depends on each stonks title. stonks index is less risky than individual asset. but once stonks crash a lot, then yes, then it is good to buy, and let's hope it won't crash another 90% down. if yes, one must have another money prepared, or then he or she is doomed. in crypto, there were 3x 90% crashes in a row, which was totally unexpected.
    2
  32395. Yeah, must read
    2
  32396. , hello math sorcerer can make a video on increasing focus to not make siily mistakes and think intuitively and I am 1st one to comment
    2
  32397. He looks a little bit like bezos. Anyone else ?
    2
  32398. Cheers for the suggestions. Can you please do a similar video about postgraduate level math books? Cheers 👍🏻
    2
  32399. 60K on this Video ≠ lonely <3
    2
  32400. I never heard of writing proofs until these videos. I’ll get a book & find out!
    2
  32401. This is off-tangent but I am curious if you do some programming stuff?
    2
  32402. Nice, that in my Ukrainian university mostly no one cares about students cheating on the tests, so we have no such sadism
    2
  32403. Great just what I needed. Many thanks.
    2
  32404. well here is a little problem tho: we live in a society. your goal has to allign with society or you will be the nail that sticks out and has to be hammered down. and there is external technology: you want to be an artist? to bad ai is better at it than you plus we have johnny over here who is a better artist than you so we decided to give him the big bucks but you can work as an assisstant for minimum wage how about that deal ? maybe its because im an economist but i analyse every move i make (it comes with the job) and many things have to allign for you to be succesfull. the only thing that is in your control is your willpower. the consequences are out of your control and can only be approximated by analysing data on which moves are statistically more likely to be successfull (thats how investment banks do risk analysis, because if they wouldn't, the market would be WAYYY riskier than it already is (hint:it's super risky) )
    2
  32405. Hi Thanks for the video I am following your course on Set proofs. Very good! My goal is to learn abstract algebra on my own to a graduate level, being able to understand an author of Lang level. However I would also like to be able to follow a calculus then analysis math major undergraduate courses. So I wonder whether Math Basics is enough as a pre-calculus book, after which I would be able to pick the Spivak or Apostol calculus, for instance. Thanks again
    2
  32406. I was thinking this was going to be a video about Zero-knowledge Proofs or Zero-knowledge protocols. It's funny how math gives different meaning to common phrases!
    2
  32407. Maths is the best subject! Schools teach it in the wrong way! I think most of us in the YouTube comments wish we could go back to being a small child and learn it from scratch and not take lessons for granted!
    2
  32408. 12 ads are alot for any video...
    2
  32409. My passion for math would be nonexistent without your teaching style. I am more than grateful for the many hours that I’ve watched your content from Calc 1 - Differential Equations! Many praises to you, as a fellow UCF alumni and now a student at FAU I thank you on behalf of the engineering department and please keep making content!
    2
  32410. Thank you for sharing! Unavailable is the message I see behind the book links. Are the books available for anyone else?
    2
  32411. Nice
    2
  32412. I have two associates degrees in engineering technology. My classes will transfer to a four year college, but not to an engineering degree. Engineering and Engineering Technology are not the same. I'm in Tennessee. Great YouTube channel man!!
    2
  32413. Sometimes I really wonder, what is meant by "learning math"? Is it memorizing the theorems and their proofs? Is it the ability of solving all exercises in every math book? Is it the ability to solve new problems without looking at any reference? What is it exactly? 😑
    2
  32414.  @TheMathSorcerer  that takes multiple long lives, not only a few years of one's life 🥺😆
    2
  32415.  @TheMathSorcerer  Thank you so much. I really appreciate that. I watch all your wee vlogs and they really inspire me.
    2
  32416. but if the function is not differentiable at one point in its domain, it means that the whole function is not differentiable. ??
    2
  32417. Such great tips!
    2
  32418. Jeff Bezo's if he didn't create amazon.
    2
  32419. it is there a spanish version of the book?
    2
  32420. The first math lesson in the 2nd year oof high school is called logic and let me tell you it wasn't anything near fun i mean you start with basics like truth table, how to proof something and it's all good until the question proof that 2+2=5 hits you right right in the brain during the test However I'm willing to forget about those bad memories and have a new start with math cuz even though I hate it I can't get away from it since I want to enter the sciences school in 2 years 💜 Fightiiiiiiiiiiiiiiiing
    2
  32421. How did you get your recommendation letters? I'm planning to apply to around 15 grad schools. How many professors should I ask for a letter of recommendation?
    2
  32422. Thankyou from Argentina!.
    2
  32423. ❤
    2
  32424. I really do think that you're a real math sorcerer, how can you come up with new ideas DAILY, tho I can't complain, it becomes my daily sweet sin ;P
    2
  32425. thank you!!!
    2
  32426. Is it necessary to be so thick?
    2
  32427. You know what my biggest pet peeve about self study is? When you learn all of your definitions by reading books and never having a lecture on the topic, you'll end up mispronouncing "Euler", "Liouville" and "Galois" for the rest of your life.
    2
  32428. Great
    2
  32429. "Many people think calculus is the hardest math class ever because its the last math class they take, well with this video Im gonna show you 6 other classes that are worst!" Is what I thought you were gonna say
    2
  32430. Thank you for noticing my string of excellence.... lmao
    2
  32431. في كثير عرب 😛
    2
  32432. +١
    2
  32433. Bottom Line: If you don't have the time for Real Analysis and you're just a novice, consider taking it when you do have the time. It eats up so much time UNLESS you're a genius. I tried it when I had a job to pay for college expenses, had to care for a sick parent, and taking 3 other classes - I got killed and dropped out.
    2
  32434. I’m not a mathematician but I’ve been interested in real analysis for a while. Maybe I’ll learn it in my free time someday but I don’t know when.
    2
  32435. Ohio is shut down. It's getting crazy around here.....
    2
  32436. SPEED
    2
  32437. thank you so much, you are amazing, i really regret not having someone like you who could have guided me, but your videos are more than enough, thank you again
    2
  32438. thankyou sir
    2
  32439. you look like jeff bezos
    2
  32440. Golden! I felt like a student again.
    2
  32441. Great videos man, keep it up
    2
  32442. So helpful thank you!!
    2
  32443. Jajaja! Estilo Nouvelle Vague! Pero en este caso no fue elitista porque fue accidental.
    2
  32444. Thank you for this
    2
  32445. 🤝
    2
  32446. How much do you need to study in University? Serious question
    2
  32447. If your dreams don’t scare you you’re not dreaming big enough!!Thanks
    2
  32448. I am the only one who thought college algebra was hard xD smart people here!
    2
  32449. You are great!
    2
  32450. Does anyone know wich book he uses?
    2
  32451. I like this idea of doing one problem everyday
    2
  32452. I flunked geometry 📐 22 years ago in the 12th grade but I’m really interested in learning geometry 📐 now at age 39.
    2
  32453.  @TheMathSorcerer  thank you😭
    2
  32454. I thank you for your video. I have just discovered your video, so you might have other videos that explain what I would like to ask. How can you learn math explanations that are not intuitive and that don't make sense. Are there different modes of thinking that a person can develop in order to cope with learning math? My goal is to learn calculus as applied to electronics and physics, but not on a level of a mathematician.
    2
  32455. Category theory. Please cover category theory.
    2
  32456. I have the soft cover Asian version of that book.
    2
  32457. 7:00
    2
  32458. Really it's very helpful
    2
  32459. First one here. Hehe
    2
  32460.  @TheMathSorcerer  Are they about algebra?
    2
  32461. thank you
    2
  32462.  @TheMathSorcerer  hi are you a teacher thank you so much for teach
    2
  32463. Can a studying schedule help me study and if the answer is yes what's your experience with schedules?
    2
  32464. You speak pretty good English for a person for whom its not the first language just like a native English speaker.
    2
  32465. Better than Epps?
    2
  32466. I enjoy your insights!
    2
  32467. Never trust a man that holds a marker like that
    2
  32468. شكرا
    2
  32469.  @TheMathSorcerer  Sure? You're my mentor? :D ¡Soy colombiano!
    2
  32470.  @TheMathSorcerer  What about the second part of the sentence, or no comment?
    2
  32471. What end?? There's no end to mathematics
    2
  32472.  @TheMathSorcerer  It must not end
    2
  32473. It was helpful
    2
  32474. Those who created the financial system don't like educated people. May, 1970 showed that. It was then decided the school systems would be degraded and here we are. The populous of America has been shown time and again to be mostly blithering idiots. Sad to say. Banks wouldn't be able to rip people off with ease if people understood the numbers game the financial system is. One of my first units in Alg II uses problems for linear systems using the loans or investments. The interest rates in the book are from 12-18% because the book was published first in the early 90's. We have a good discussion of how a home's value should not double every 10 years as it is unsustainable. But that is what people have come to expect. Hence the crash of 2008 and the one that is about to happen. NCLB destroyed vocational education. Students at my high school used to get 1/2 a math credit for shop, wood, welding, construction, etc... THEY TOOK THAT AWAY which has now shown up as a complete LACK of skilled labor here in America. One of my IB students who HATED the classes she had to take with me, Alg II and IB Math Studies. She sent me an email later thanking me as she was in her bakery classes and wiping the floor with the other students as she was using the formulas with ease.
    2
  32475.  @TheMathSorcerer  Yes!!! Would love to meet if you ever came to India.
    2
  32476.  @TheMathSorcerer  sir, I should be the first one to know about your coming to India, regarding that "some day". I welcome you already. Do you really have plans to visit India sir?
    2
  32477.  @TheMathSorcerer  of course that "some day" is sure to be post this Covid period or when situations start normalising a little bit. Take care of yourself and of your family too! :-)
    2
  32478. Way back 1975 ... Spivak Calculus was used in the top level calculus freshman course at U of T along with Green's Linear Algebra ... targeted for math majors. Course drop out rate was over 50% ... me being one. Lol. 😬
    2
  32479. Thank you very much
    2
  32480. First vid of your channel, I’m subbing. Now, can you teach me calculus with principia? Meaning, what was Newton seeing or thinking or confronting or discovering when calculus was invented? I had calculus but failed miserably…I’m not dumb (looking into building an experimental plane with electric motor), I just could not grasp “do the formula” as taught in school. I need to see how it’s applied.
    2
  32481. Math has a reward schedule which fosters addictive behaviors. At some point a 12 step program is in order to clear your mind and reset. It’s a lifetime addiction. You manage it.
    2
  32482. I try to go for a run outside and also hit the gym. Grab a protein shake, do some math, reward with pizza and a 6-pack :)
    2
  32483. LMAo
    2
  32484. Thanks , people like u make the world a better place
    2
  32485. i,sure, am fast Today
    2
  32486. Well this make so much sense and meaning and do understand everything your saying. And do get your point..
    2
  32487. I'm junior highschool and i want to be better in math
    2
  32488. What are your favorite video games ?
    2
  32489. Um, why is the pictures blurred?
    2
  32490. I Googled the book, and the second result has a download; do not know if it was legit or not.
    2
  32491. Maybe it's because I am watching a low resolution version.
    2
  32492. Yup its good
    2
  32493. good solution
    2
  32494. Not having the solutions can be a problem because in order to learn, people need feedback.
    2
  32495. Can you do the same video for physics instead of engineering please?
    2
  32496. you would be such a great voice actor😭😭
    2
  32497. Thanks
    2
  32498. I have a few dreams. To be strong, get a job, write some stories and become a content creator.
    2
  32499. Nice !
    2
  32500. You should join a rock band bro. Trying to pinpoint who you remind me of.
    2
  32501. Great
    2
  32502. what is convergence and divergence means in real life scenario? I learnt in physics about converging and diverging lenses. Is this math have to do something with those lenses. Btw, You gave a great explanation. Thank you:)
    2
  32503. As far as I understand convergence of series has nothing to do with convergence of lenses. The practical applications of convergence are showing how quickly numerical approximations of formulae or other algorithms converge to their goal. Convergence of infinite sums also shows up in probability/statistics i.e. distributions like Poisson or binomial/multinomial and probability generating functions.
    2
  32504. Cool .
    2
  32505. Your story was just as inspiring as the artful music. Starting back with math with you suggestions for books from "learn math from start to finish"
    2
  32506. Thank you
    2
  32507. I needed to hear this today. Recently went back to school after working for some years, and it feels like calculus has been kicking my teeth in since the first week.
    2
  32508. weirdly niche but exactly what I needed thank you !!!
    2
  32509. 0 =/= lim {x->0} 1/x - lim {x->0} 1/x because lim {x->0} 1/x is indeterminate. Euler believed that ∞ = 1/0 and so according to him, lim {x->0} 1/x - lim {x->0} 1/x=∞ - ∞ =0. Search for "Academic Ignorance and Stupidity - Part19 : Infinity - Infinity = 0 ?"
    2
  32510. He also believed that 1/∞ = 0 and so 1/3 = 0.333... (actually FALSE!) because 1/3 = lim {n->∞} (1/3)[1 - 10^(-n)]. ∞ is a junk concept that does not belong in any field of rational thought.
    2
  32511. Meanwhile in the realm of theoretical physics: * *Insert impossible integral here.
    2
  32512. Along these lines, I suggest checking out Landau and Lifshitz -- two prominent Soviet era scientist. Notably Lev Landau, who arguably made some of the most pivotal contributions to quantum physics, in particular our understanding of metals. Their books were the Soviet standard for physics theory education, and remain important worldwide; cites nobody, because they go out of their way to reinvent the wheel; and is extremely useful in small arms combat as both a shield and a blunt force object. It has an evil-looking font that makes Landau's Quantum the closest thing I can find to a real sorcerer's tomb.
    2
  32513. First!
    2
  32514. I plan to buy a batch of books in the future by anti Demidovich. There is a problem book on math analysis from Demidovich with answers, and there is a problem book of the same Demidovich with detailed solutions, it is called Anti-Demidovich in Russia, it is published in Chinese. In Russia, our students use it to solve problems from Demidovich's problem book.
    2
  32515. ❤️
    2
  32516. Exactly what I needed to hear
    2
  32517. Or some of them even
    2
  32518. I like smelling new books too. Glad I'm not the only one haha!
    2
  32519. Cool
    2
  32520. Keep thinking about it even when you are doing something else .. I was wondering about calculus when. While kissing my girlfriend lol
    2
  32521. Very Cool !! I always wanted to learn how to programm besides doing math !!
    2
  32522. How can I get cheap books? Any websites or pointers? Thanks.
    2
  32523.  @TheMathSorcerer  omg! Such a rapid response- not even 5 mins have passed! Thank you sir! And God bless you!
    2
  32524. Answer is 2/√3
    2
  32525. My math professor be like: In the definition, you said function instead of relation. 0/10 on the question. See you next time.
    2
  32526. Hello Math Sorcerer. I was wondering if you could review math books published by Mir Moscow. There are many of them and are easy to find both original and pdfs. As I’m concerned, they are barely known in the USA, but in Latin America, Asia and here in Europe are commonly used for Olympiad preparation. From my point of view, these soviet books are way more demanding than those that can be find currently in degree (college) books, but maybe I’m wrong. I will be very grateful if you share your opinion about those and if you would use them to prepare to difficult exams by demanding professors. Thanks for your videos. Saludos desde España.
    2
  32527. Love it!!!!!!!!!!!!!!
    2
  32528. I do a similar thing too! I call it exploration.
    2
  32529. Excellent video!!
    2
  32530. I'm glad I found your channel.
    2
  32531. Greetings Mr.Math Sorcerer, Thanks.. Horse Bust Metaphor looks Good in Your Study..Small but Thoughtful Talk.. Ok..Take Care.. With regards, RanjithJoseph (R.J)
    2
  32532. So you gave us a "watch before the test" now how about after studying for the test right before the test?
    2
  32533. Maybe have one "watch before you eat breakfast" really try to rope us into that math addiction XD
    2
  32534. Thanks homie it’s 2021 still helping people
    2
  32535. In this world of chaos and anarchy, We do really need laughter now a days. Thank you for what you do.These small act of kindness goes a long way💥🥳
    2
  32536. Thanks, God bless.
    2
  32537. Thank you sir 😍😍😍
    2
  32538. I love how brief and straight to the point your videos are ! Thank you ...
    2
  32539. Neuroscientists say that during tests, you learn at a far greater rate than when you're reviewing material. Same applies to homework. It's walking the walk. Reading and reviewing can give illusions of competence. Actually carrying out the act is the most important thing. So while this whole thing is semantics, doing problems is the most beneficial activity for your brain (but you should understand the material first so you have a good big-picture understanding of what the problems you're doing mean and how they connect together).
    2
  32540. buying one of those WOD timers from amazon was a magic bullet for keeping myself not losing track of time and taking regular breaks
    2
  32541. Is P denote proposition and Q conclusion in statement which can be proven? I little lost in terminology. Thanks 😊
    2
  32542. Thankyou
    2
  32543. My opinion is similar to others in the comments: the publisher wants to make money by selling a book with the answers. A second reason is that many books came out from class notes and such notes do not write down the solutions to homework problems.
    2
  32544. Nicee video
    2
  32545. I ordered Saff and Snider before I found your channel. Looks like I made a good choice
    2
  32546. Math is scary
    2
  32547. 1:05 because $
    2
  32548. Could you make some videos on modular arithmetic and more specifically linear congruence problems? Been struggling with modular arithmetic a lot
    2
  32549. I am not interested in grad school, or even a degree in math, but I liked the message of your video. Never give up and seize all the opportunities you get. It will be helpful. Plus, I like this quote by chopin:„Time is still the best critic, and patience the best teacher.“. This quote shows that Time will show all the faults and mistakes that you made, or that others made, and patience will teach you everything. Be patient. It is scientifically proven to be the most important factor for success in life.
    2
  32550. i agree with you that we should learn for the sake of learning, a great thing to say. but is it actually feasible in this world? i don't think so. okay im not trying to bring you or your idea down here but instead i want to know what you think about this. there are people, like me, who do want to learn a lot of things but just cannot due to circumstances like family pressure, money, etc. because let's be honest, the world does indeed run on money. i believe you may not need money to live a happy life, but you definitely need money to live a comfortable life. and i think most people choose the latter one. it is not that i dont want what you said to be true, i really wish the world turns out like that in the future, but its just that i don't see it like that today, and that's sad.
    2
  32551. I also admire a lot Arnold and haven't read that phrase before. Personally my parents wanted me to follow certain paths when I finished uni, but fortunately I found my passion and didn't follow their advice in that ocassion. You are right, we have to carve our own life and don't care about what others might think or talk, great video man
    2
  32552. Great content and channel sir
    2
  32553. It's creative.
    2
  32554. You know you're a genius when they call you "THE Feynman" on the cover in gold letters.
    2
  32555. Love the math involved in TA!
    2
  32556. DID GET A COPY FOR MY SECOND READ THROUGH
    2
  32557. The math sorcerer, a channel for depressed mathematicians
    2
  32558. Would love to have an audible version of your book
    2
  32559. Delighted with your explanations.
    2
  32560. copy showed today, excited to dig in, nice parallel to zill
    2
  32561. Thank you sir
    2
  32562. The inspiration I needed!!! Thanks 💓
    2
  32563. Yeah me too.
    2
  32564. ❤❤❤
    2
  32565. how do u read math books. all of a book at once, or few sections like a reference?
    2
  32566. You should check out calculus with analytic geometry by Robert Ellis and Denny Gulick it is a good calculus book
    2
  32567. Would it be (-6,infinity) u (infinity, 7/2) ??
    2
  32568.  @TheMathSorcerer  Ok thank you so much I'm in the middle of a mid term.😣
    2
  32569. 7. Learn something about another field. Don't be a single subject learner. 8. Take up an outdoor physical activity like swinging a golf club, power walking... 9. Pay attention to details like writing clearly, spelling correctly, keeping accurate notes. 10. Be prepared to express your ideas and review your path to them. 11. Have a relaxing sleep. Don't go to sleep in an emotional state..perplexed, angry, overtired..in other words complete your daily tasks outside of work like paying your bills, cleaning up. 12. Don't ignore the important people in your life. They can always give you useful advice.
    2
  32570. great work in maths.
    2
  32571. Would anyone be able to tell me if any of these books is good for deep understanding of differential equations for someone without a maths background? Let me explain what I mean: I am an engineering undergrad student and I want to go into a masters for mathematical modeling in engineering (what in US I think would be called computational mechanics). For this program I would rely heavily in ODEs and PDEs, and having a good understanding of how these equations behave and how to analyze them would be very useful for me. However, I do not have the typical background of a maths undergraduate degree, meaning I have no experience with proofs, discrete mathematics and some other I guess more abstract fields of maths. So I guess what I am asking is: Do I need these more abstract or proof based mathematical basis to have a good understanding of differential equations? Or the basics of linear algebra with some multivariable calculus would suffice? I hope the question makes sense, and thank you in advance for the help.
    2
  32572.  @TheMathSorcerer  Thank you. I will definitely check it out.
    2
  32573. Thanks for your words. I am close to finishing my master's degree in applied mathematics. Greetings from Chile
    2
  32574. This helped and I am struggling through calc now
    2
  32575. Actually reading the chapter title and introduction is very helpful. Don't skip that.
    2
  32576. Random question, but do you happen to know what ancient Greeks called tangent lines?
    2
  32577.  @TheMathSorcerer  All I could find was that meaning is from the 16th century or something. Not really sure what that all means, but the basis of why I'm wondering this is that I'm curious about how the greek root for the tangent could differ in meaning from other cultures-- thusly demonstrating the base difference in their logic. i know from some of my textbooks (Calculus: Early Transcendentals 7th Ed) that the problem of determining the equation of a tangent line to a point in a circle has been considered since 300bc greece. So given that the latin word appeared around the 16th century ad, I'm just wondering what the greeks may have called it, lol..
    2
  32578.  @TheMathSorcerer  Turns out, I was thinking of the calculation of pi had been worked on since 3rd century bc. My bad
    2
  32579. I got A+ on my assignments that let me solve math equations over a weekend but get a solid D (if I'm lucky) for exams.. because of my speed. I thought it was my abilities that lacked. wish I watched this video at the beginning of the year but I guess it's not too late to try now..
    2
  32580. Thank you so much for this video!
    2
  32581. What I have to disagree on with a lot of people is gilbert strang's linear algebra. I know both of his courses and his book are highly regarded around the world and the book is probably used for undergrad linear algebra courses in some of the best universities in the world. It was also my textbook for my undergrad course. However, based on my experience in that course, the book seems to focus more on stuff that are more useful in applied mathematics, such as matrices, solving linear systems, all kinds of matrix decompositions, pseudo-inverses, least-squared approx., etc. instead of the more theoretical aspects, such as linear maps, vector spaces, norm/inner product spaces, isomorphisms, dual spaces, linear functionals, etc. So much so, that, when I first met my mentor in differential geometry, he said I basically learned all the linear algebra that I wouldn't need for differential geometry lol.
    2
  32582. I really want to finish your video but you convinced me to start studying halfway through. I'll be sure to finish it later!
    2
  32583. That book looks easy to understand.
    2
  32584. yes I wish I had a mentor instead of having to ask people on internet forums every time i get stuck
    2
  32585. I learned engineering . I had to take PDE, numerical analysis, Fourier
    2
  32586. LOLL
    2
  32587. I always enjoyed Paul g Hewitt's 'conceptual physics' even after I learned calculus
    2
  32588. Does this end with math courses taken by graduate students?
    2
  32589. lol
    2
  32590. I thought the first book on PDEs was the prettiest one lol, with the nice deep shade of the red and then the wave in the middle in a shiny gold, very cool looking my pick of the bunch!
    2
  32591. That was a nice explanation
    2
  32592. I do a BSc in Mathematics and Applied Mathematics with Minors in General Physics
    2
  32593. thanks for the motivation:)) really needed it right now… :)
    2
  32594. I've found that many math textbooks are written as if they're for people who already know the math and are going to brutally critique the book on accuracy. Science, on the other hand, teaches oversimplified concepts to build an understanding first, then gets gradually more challenging and accurate as you dive deeper. Math textbooks could learn a lot from science textbooks.
    2
  32595. 100% correct analysis
    2
  32596. This makes me nervous and crazy🤣 And whenever i heard about test and exam it makes me more crazy🤣
    2
  32597. Subscribed 🎉
    2
  32598. You’re awesome 😎
    2
  32599. Night everyone
    2
  32600. 4 dislikes? LOL?
    2
  32601. Do not be fooled. US higher education is far superior in most respects in my experience (which is why there are such huge amounts of international students in the US as opposed to elsewhere). The reason it seems that international students (like me) know more math is just that the education systems abroad completely give up on anything like critical thinking and just expect students to be able to memorize stuff. The more stuff you memorize, the better. But, of course, that's only superficial training that is absolutely no good in the 21st century. It only seems they know more because we've memorized all that stuff, but do not actually understand it in any meaningful sense of the term.
    2
  32602. can’t believe u did this video thanku so much
    2
  32603. I can only assume the splash marks on Royden's Real Analysis are tears...
    2
  32604. This is an amazing lifestyle
    2
  32605. Heeeey buenísimos los libros
    2
  32606. Really helpful video sir for me👍 I like your tricks
    2
  32607. What advice would you give a student, 25, who wants to pursue a math degree part-time?
    2
  32608. Major problem with people who like math is they get diverted because of things like puzzles and chess. Non mathematical activities whihc are similar to math like chess, puzzles can eat away our. We should understand how to spend our time properly.
    2
  32609. much needed
    2
  32610. Thank you
    2
  32611. Hello! I hope you will add this section to Udemy Differential Equations Course with some exercises
    2
  32612. My language is not English Hi Hur professor? My Question is how I can understand math like Read books calculus howrd Anton And thank you about doing video 🌹🌹.
    2
  32613. I have Pre-Calculus by Ron Larson. Wouldn't that be the same essentially as the Algebra & Trigonometry book reviewed here by Stewart?
    2
  32614. if possible is there any chance we get a PDF link of your notes
    2
  32615. Thank u so much for makin this video 💕
    2
  32616. New book smell
    2
  32617. thanks, this helped for my final at UCF!!
    2
  32618. Glad I'm not the only one that has a habit of smelling really old books!
    2
  32619. With the proof I also like the honesty.... 👍
    2
  32620. I just started to read it, I will write another review after I finished it. Thank you for the suggestion.
    2
  32621. That's so cool! I love your channel! I think the skits are so funny
    2
  32622. Excellent video.
    2
  32623. So, (I know nothing, just testing the waters) we can't say |e(i^2)| = -1 = i^2? Or, b/c i^2 = -1, it would lose its negative after absolution? This also seems to imply that e=1, or the equations would become silly.
    2
  32624. Thank you!❤
    2
  32625. I would also like to board this ship.
    2
  32626. My guy just sniffed the book. That is the golden rule of opening an old book.
    2
  32627. Thank you. You're awesome 😎
    2
  32628. “The top score on the exam was a 54... but excellent work” 😭
    2
  32629. And in my country it is graduating age 🦧
    2
  32630. What a cool professor actually😅😂
    2
  32631. I didn't know you're a pirate
    2
  32632. Hey this video helps me alot, Im going through that phase currently and I tend to be insecure about my abilities a lot, I wasnt terrible at math in HS but I never was the best either (I was pretty lazy back then too). Hearing you and a lot of people in these comments talk about how they had rough starts makes me feel motivated, I always imagined people who were good at math and made it a career to be good at it right away and naturally gifted but seeing everyone comes from humble beginnings gives me some confidence. I still have trouble making sense of some things when I look at equations but if I apply myself like all of you do I think ill come to love it as well. Ive changed my choice on what to study so many times at this point that I hope its the case anyway.
    2
  32633. You are awesome !
    2
  32634. "Trivial"
    2
  32635. Nice
    2
  32636. Do you know where I could get copies of these books for cheap? Most of these on Amazon.ca cost a lot more. Other than the library where can I get physical copies of books ?
    2
  32637. Nice 👍👍👌🏻
    2
  32638. I have been watching your videos on analysis which are a godsend. Your videos always make me happy and remind me of my purpose :) thank you
    2
  32639. if jeff bezos had blond curly hair
    2
  32640. Thank you sir
    2
  32641. Thank you so much.
    2
  32642. I... I don't teach myself much anymore... that's what changed. And that's what I have to change. Thank you :) time we taught myself some more
    2
  32643. Great video
    2
  32644. Seems like a good companion book to The Art of Making Sense by Lionel Ruby.
    2
  32645. hey man, just wanted to let you know. This video is three years ago, but I know you’re probably like this on all your videos.... anyways, I really just wanted to say I appreciate you. As in you “dumb down” the problems, you don’t miss any “easy steps” as in you don’t like skip over them Bc we should already know them. I honestly appreciate you so much. Hope your life is going great and continues to!
    2
  32646. 4:45 every person should hear this because it applies to any big goals you have. It’s the process that makes the product
    2
  32647. So this is how I’m supposed to be studying…
    2
  32648. For the first time I asked my calculus 1 professor if he can go back to a problem that he was covering and he said "yes" but in an "awkward" way like if he was not in the mood of repeating what he just said. From that moment I have never asked a professor to go back, I rather to wait for the recording and going back on my own even if it takes me days to get the recording of that lecture
    2
  32649. Professor how... literally how in the world do ya know to release the right video at the very right time literally everytimeeeeeee
    2
  32650. man, in every video of yours, you just speak straight truth and facts...
    2
  32651. I'm so sorry, but how the hell do you guys read entire books just about math...
    2
  32652. Where can I buy cheap math textbooks? I got some money burning a hole in my pocket lol
    2
  32653.  @TheMathSorcerer  thank you! I'll check it out!
    2
  32654. Try the integral of sin(1/x)
    2
  32655. Never saw that book, used Purcell Varberg's Calculus with Analytic Geometry, I probably did almost every problem in there, and Spivaks is the coolest book on Calculus I know
    2
  32656. My grandfather was a Nuclear engineer, this is cool stuff.
    2
  32657.  @TheMathSorcerer  Btw, thanks for putting all the info out there that you do. I’m self studying calculus right now to get ready for fall semester and it’s been a great help.
    2
  32658. you have done the best dude.. l like this
    2
  32659. You're right about procrastinating, maybe I've been doing a lot of this.
    2
  32660. How do you get the white copy of Calculus Made Easy? I like the clean cover rather having a bunch of colors. Does all "Calculus Made Easy" come in the white cover.
    2
  32661. I wish my teacher did some of these.
    2
  32662. head's up your paypal donate linke doesn't seem to be working ;)
    2
  32663. Do my marks at Pg level matter if I want to teach classes 9th to 12th in school?
    2
  32664.  @TheMathSorcerer  Sir I mean post Graduation(M.sc)
    2
  32665.  @TheMathSorcerer  Thanks alot sir... and the reason for that would be because what is being taught at school level is too basic as compared to what we learn in Maths afterwards...
    2
  32666. Theres 3000 to watch from you alone XD
    2
  32667. Saracincco book is tops A survey of modern algebra Birkhoff
    2
  32668. because they are programmers :D
    2
  32669. time to improve my focus at league of legends so i dont int my teammates :face-blue-wide-eyes:
    2
  32670. Love the viewpoint on not comparing yourself to others. Very important as everyone is on their own journeys and paths in life.
    2
  32671. Thanks for your videos! You are an inspiration.
    2
  32672. That textbook holder 😍
    2
  32673. man that's what I've been doing in math class, and it really does work. always practice, practice, practice!! you will get it!
    2
  32674. wow🥂🥂🥂
    2
  32675. Great
    2
  32676. Very nice. However, I think giving people notice of, and practice with, converting to base twelve and back to base ten will help familiarize the base-12, or dozenal, system, which has more benefits and conveniences than most people have considered.
    2
  32677. Please blink sometimes, I feel sorry for your eyes 😢
    2
  32678. Thank you for your words ... I can do it
    2
  32679. Thank you!
    2
  32680. Is college algebra mostly just a review of algebra 1 & 2?
    2
  32681.  @TheMathSorcerer  thank you!
    2
  32682. If a zero has even multiplicity, the pattern will skip.
    2
  32683. THANKS FOR GIVE US HOPE.
    2
  32684. Unfortunately, you left out one of the best algebra texts around, IMO: Algebra, 3e, copyright 1988 and 1999, by Saunders Mac Lane and Garrett Birkhoff. Of at least historical interest is an influential earlier text by those two: A Survey of Modern Algebra by Birkhoff and Mac Lane. P.S. - I think Artin is great! Also, Jacobson later wrote a two-volume graduate text (Basic Algebra I and II), while Herstein wrote a perhaps easier text (Abstract Algebra).
    2
  32685. didn't know that your first lang is Spanish. Your English sounds just perfect
    2
  32686. Thank you Master!! You are great!!😃😃😃 Your videos always appears for me when I need them. My brain needs to explote self-learning mathematics. Now, I study, only by pleasure, real analysis (Bartle) and abstract algebra (Herstein)
    2
  32687. You are a real genius
    2
  32688. I have the Stewart Calculus book 5th edition!
    2
  32689. Lol, reading math is better than having a tooth pulled!
    2
  32690. My Math professor at Warsaw University of Technology always liked the statement: "After trivial transformations..." and bam! Problem solved. When I did that on an exam I got 0pts :(
    2
  32691. got ring bells while studying in maths in a non-noisy environment.
    2
  32692. I’m doing a PhD in Philosophy phy and I love your videos. <3
    2
  32693. The fact that youtube recomended me this vdeo and I have a math exam after 1 day . I was like yah thanks universe 😂😆💕
    2
  32694. I can die and will die. But I never get old so that I can't learn.
    2
  32695. That book has rarely opened. No DeMorgan fans I guess
    2
  32696. No Kndle edition?
    2
  32697. Sir we want some videos on R-S Integral
    2
  32698. I can save you a ton of time: You don't need to organize them. yw. 3:49 To answer: "Where does b go?" where b = any give book, A: It goes precisely where you're going to remember that it is later, or you'll never find it again. 5:48 Popular Delusions, I have this! in 2 volume set form, nearly done, very worth your time. I had no idea most of this ever happened at all.
    2
  32699. I've bn trying to break the balance for my communication skills. Ive bn reading about the Social Sciences for the past decade off and on. I found a group recently where I can talk to ppl. But outside of that group is very different. Ive read about a number of social science textbooks. But now Im on Positive Psychology & Interpersonal Communication. Interpersonal Communication seems so far to help me understand people more. But to me reading about interpersonal communication is like how people feel when they have to read about math. It's difficult & comparatively I'm taking a lot of notes.
    2
  32700. One of the few high-quality YouTube channels. Thanks.
    2
  32701. I love you
    2
  32702. You're my hero m8, this was miles better than my lecturers.
    2
  32703. knowledge is power, and power is control
    2
  32704. Intro to Analysis is usually what gets people out of being a math major at my college. So I'd probably say that is one of the hardest.
    2
  32705. “There are elements of comedy in the talk.” True.
    2
  32706. the authors also don't know how to solve the problem that's why
    2
  32707. cool (:
    2
  32708. Second ❤
    2
  32709. Math Sorcerer, have you seen the movie Nothing But Trouble?
    2
  32710. Straight and to the point. Thank you so much
    2
  32711. Those books are still basic level and mostly still friendly with the reader. Try Federer's Geometric measure theory. That's the real deal.
    2
  32712. Recommend "Concrete mathematics" - two renowned authors : Ron Graham , Donald Knuth. Good way to master combinatorics
    2
  32713. thanks!
    2
  32714. had to check if I left the speed on 1.25 lol
    2
  32715. Linear Algebra seems to be a prerequisite for a number of math courses, Number Theory, for example, but couldn't a student take Abstract Algebra while taking Linear Algebra or even Linear Algebra after taking Abstract Algebra? And do you plan to teach Linear Algebra at Udemy in the future?
    2
  32716. Way to scortch it.
    2
  32717. My english is not perfect. Is he saying that there are people who need less time to understand math because they are smarter than average?
    2
  32718. Great advice
    2
  32719. I agree, even though I laughed
    2
  32720. Best 4 years of my life
    2
  32721. I have that book. Spherical trig is necessary to develop programs to track satellites.
    2
  32722. 😂😂😂
    2
  32723. Wow, this brings back memories of all the stuff I studied as an undergrad. These are excellent book and topic selections. I could use some work on complex analysis and topology myself, as those were about the only two I didn't take courses in at the time. Thanks for the materials suggestions, and your suggested study order is great BTW.
    2
  32724. This is real.
    2
  32725. make sure you are well rested before studying math. research shows that a sleep-deprived mind performs worse on working memory and reasoning metrics than its well-rested counterpart.
    2
  32726. I'm a first year, and I'm taking Calc II next year, are there any tips you could maybe give me to survive? I mean besides doing exercises
    2
  32727. flammable maths must see this
    2
  32728. Physics is the hardest major.
    2
  32729.  @TheMathSorcerer  Excellent video.
    2
  32730.  @TheMathSorcerer  Do you give your students homework on the computer or on paper.
    2
  32731. Why does he look like Bezos
    2
  32732. He looks like Jeff Bezos with hair
    2
  32733. he's on speed
    2
  32734.  @TheMathSorcerer  ❤️
    2
  32735. top notch video brother
    2
  32736. Got 2 of the 4 Lang Books. I found Lang's Calculus book to be easy. And Lang's Algebra book to be much harder than Dummit and Foote.
    2
  32737. Seriously how is he able to write like tgat
    2
  32738. Great video as always 😍
    2
  32739. Calculus used to be taught over five different levels, now it’s just three. Thanks Dubya.
    2
  32740. hahah thanks for this video
    2
  32741. Functional Analysis was the hardest for me
    2
  32742. exam question be like: prove that all continuous functions are continuous [20 marks]
    2
  32743. Does anyone one know where to find this book ?
    2
  32744. you are a wonderful teacher. I took notes and plan to use your strategy. another one I might add: call yourself a genius. Think of yourself as a genius in the making or an outright genius already. Another one: call your problem easy. "This is easy" try it, before you knock it. 😉
    2
  32745. A similar concept applies to margin. If an item cost C, and you want a 20% margin, then the sales price S is C/(1-M), where M is the Margin percentage. So for an item that costs $1, sales price is $1.25 for a 20% margin.
    2
  32746. This made it easy to understand!!
    2
  32747. "Welcome to calculus 7" Panic Intensifies
    2
  32748. I love thicc books!
    2
  32749. Browse books often. Go to the library (I check out 5 different books every week just to browse). Visit to all the book stores in your area (university bookstores are a great place to browse). Look for used book stores, (Half Price Books) Find cheap books at second hand stores. (Goodwill, Salvation Army, etc). Look out for book sales. (teachers book sale, radio station annual book sale, library sells off worn and seldom used books) Download free ebooks at Project Gutenberg and the Internet Archive. ebay has thousands of cheap math books on every subject. Get the lay of the land. Look at college web-sites (what courses offered or required for math majors). Read bibliographies of books (some are annotated).
    2
  32750. THANK YOU
    2
  32751. No Rudin?
    2
  32752. Like those who love maths🤭😂😂
    2
  32753. I'm 16 and I was thinking of getting an apprenticeship and working in an industry to do with chemistry. Then when I've settled age 40 ish I can go to university to study math or chemistry.
    2
  32754. Did you read all of em?
    2
  32755.  @TheMathSorcerer  what's the hardest and most advanced math book you ever read ?
    2
  32756. The Math Sorcerer you’re welcome!
    2
  32757. I thought they were all easy
    2
  32758. mmmm, just a naiive question, why do we care about finding the P(P(P(phi))) ? This my problem with math, I can't think about something without having a motivation and reasoning behind! ;)
    2
  32759. Definitely from my question you can tell I am not a math person 😅😂😂
    2
  32760. If you want to define a natural number. https://en.wikipedia.org/wiki/Set-theoretic_definition_of_natural_numbers
    2
  32761.  @TheNachoesuncapo  hahaha
    2
  32762. YouTube Exam videos like "Professor does xyz exam" are great because you get instant feedback. Hit pause and try it then unpause and watch the answer. I started doing this recently and it really helped me learn how to set out problems.
    2
  32763. so, so helpful thank you so much!!!!!!!
    2
  32764. thanks a lot! very helpful🙏
    2
  32765. Dust jackets, ewww! 🚮 😅😂
    2
  32766. Thank you so much!
    2
  32767. These 3 minutes felt like hours to me.
    2
  32768. Obviously fake, a math final would never be weighted as low as 30%
    2
  32769. I think DE should be called Cal 4
    2
  32770. differential calculus with Series (power & Frobenius) will give your nightmares 🙃
    2
  32771. Wow
    2
  32772. I'm on the board.
    2
  32773. Amazing! Thank you
    2
  32774. I’m looking to get better at maths not math though
    2
  32775. I learn quicker with any science you put in front of me. I literally never took notes in those classes and passed with A's.
    2
  32776. Thanx man ..... nicely explained...have a good day 😁😁
    2
  32777. Thank you for all your lessons! It may come in handy and I always remember a line represented by the 𝑥 and 𝑦-intercepts in the form X/A+y/B = 1 y= - 2x+1 then x/(1/2)+y =1 Given the 𝑥-intercept (𝐴,0) and the 𝑦-intercept (0,𝐵) of a line where 𝐴 and 𝐵 are nonzero
    2
  32778. Thanks for your great effort... continue 😍🤗
    2
  32779. Awesome! I had dinner earlier, so full!!
    2
  32780. The Math Sorcerer I can't wait for books to arrive in the post.
    2
  32781. You're amazing, thanx for all these advices
    2
  32782. Im struggling with set theory this helped!
    2
  32783. You look like Jeff Bezos with wig
    2
  32784. Sir, I am 12 years old and l want to start with calculus and I want to do so because l want it very easier for me and I want to learn mathematics faster so sir can you please say how will I start with.....I wanted to ask you because sir your videos were very much inspiring.....
    2
  32785. Sir thank you very much but can you suggest a few books of such kind for beginners like me?
    2
  32786. I sometimes won’t even start hmw assignments until I understand the material so well I can teach it to someone else. A lot of time wasted
    2
  32787. Thank you!
    2
  32788. Youtube randomly recommend this video hahaha good algorithm yt!
    2
  32789. I thought the Math sorcerer was going to tell me how to understand math without understanding it.
    2
  32790. beautiful and rare bunch.i wish there were and easy and safe method of digitizing these old books that fall apart at the seams.
    2
  32791. Please make a video about calculus by howard anton.
    2
  32792. Amazing tut! Thank you sm this helped me so much
    2
  32793. Don't put off till tomorrow what you can do today - Benjamin Franklin
    2
  32794. Nice, but it doesn't seem like a text book for math majors.
    2
  32795. What would you say to someone like me who's set on doing graduate level research in mathematics and physics in undergrad? I'm a high school senior right now, and I find myself lost on what to study. I started with real analysis end of junior year, but without a first course in proofs, I gave up quickly. Slowly, I took up a course in proofs and I learned the basic techniques. Now I'm trying to learn Elementary Set Theory from Enderton. My question is- What do you think is a logical and cohesive path for me to get to understanding graduate level mathematics? Should I go to analysis straight after I learn Set Theory? Should I study logic? If I learn analysis, should I use two books? Maybe starting with Abbot then going to Zorich or Rudin? (I have both) Or before analysis, is it necessary for me to go through an advanced linear algebra textbook focused on proofs (I've already taken a computational course) like Linear Algebra Done Right. And if I take Linear Algebra, should I just go straight into Abstract Algebra aftwrwords while I'm at it? Also, when should I put in a course on Number Theory or Combinatorics? What courses build most into other courses most? I want to know the foundations of everything and to understand everything, but I'm afraid I might skip some of these foundations and end up stumbling across material I'm frankly not ready for. Please give me any advice, I would greatly appreciate it! (I am generally really good at self studying from a textbook, and I've done very well in math over the years. Yet the novelty of proof based mathematics to me makes me question if it's necessary for me to split certain subjects like analysis or Linear Algebra into dual courses. Right now, I'm at the point where it takes me around 1-5 minutes to do a basic exercise in axiomatic set theory.)
    2
  32796. ​ @TheMathSorcerer  Thank you. Currently, I've been doing all problems in the textbook for a chapter out of fear that I might miss something important. Do you think this is the right mindset to have, or is there a mental check that you might do to convince yourself that maybe you are ready to move on?
    2
  32797.  @senselessnothing  I see. That provides a bit of guidance for what I should focus on. Thank you!
    2
  32798.  @kevintang4932  You're welcome. With physics I would strongly advise you to also delve into some experimentation of your own. Let me explain why. The popularizers of physics present physics as some sort of unified theory without any gaps, in reality physics is a patchwork of theories tied together in a way that covers many usual cases, but far from everything. The grand example is nuclear theory/models, which effectively stands between the "patchwork" of quantum and the "patchwork" of classical physics yet results from neither. (it's a bit more complicated because the good physicist can claim mathematical intractability in place of my "gaps", whatever the case the theory does not yield a unique answer or an answer at all). Through experimentation you will both become familiar with the theory and have a pragmatic understanding of it's practical use. Hope that helps, my physics endeavors had many hiccups because of the above. Choose a book that explains the historical experiments, when they introduce electricity you want to see fur and rods involved, not just equations.
    2
  32799. G.E.N.I.U.S
    2
  32800. It's an escape from the dishonest and irrational world. Fermat felt it the hardest.
    2
  32801. Why the green books are better that the white ones?
    2
  32802. You are hilarious. Entertaining and educating video. Ty
    2
  32803. Thanks for all your help math sorcerer
    2
  32804. I know your a mathematician but you did say you got an A in physics, any advice for physics? I’m stuck between knowing how to study for math but struggling to study physics.
    2
  32805. I'm the one who got a 2%. Fight me.
    2
  32806. Thank you so so much
    2
  32807. You are a Mathemaniac!
    2
  32808. Still searching youtube for math help?? Are the 6 month old videos really helping?? Because most mathematically proofs have been updat.... oh what??? They don't really change??? Oh wtf am I talking about then nvm don't buy this product.
    2
  32809. Is that pile of books my birthday present by any chance? 😜
    2
  32810. Great video, congrats on hitting 500k!!! I follow you since 100k. Thank you for making a short review on the chartrand proof book again.
    2
  32811. I'll take formulating the governing equations for circuit, fluid, and mechanical systems in control engineering over this math shit any day. It is important though.
    2
  32812. I'm subscribed, don't quit math and making videos
    2
  32813. Oh dang, you're right. Why are they going in the same destination? haha. I think the solution would be to fire someone.
    2
  32814. Start to finish? U never finish man!!!!
    2
  32815. Dude if you want, I can get you one of those books from Los Alamos or Sandia Laboratory.
    2
  32816. I have done advanced calculus when I was in college but now I see integration sign as curly hair. Its been more than 20 years I have left my college.. i don't remember a damn
    2
  32817. Very well explained sir👍
    2
  32818. Tony Hathaway???
    2
  32819.  @TheMathSorcerer  Thanks!
    2
  32820. 69 likes and 0 dislikes, sorry, I am not ruining that
    2
  32821. Thank you Sir, for always Motivating us 🙂
    2
  32822. Hmm I ain’t no mafff wizard but with a quick glance I can tell that the answer is about three fiddy.
    2
  32823. Epic vid
    2
  32824. oh yes 100%
    2
  32825. I have a degree in philosophy and I’m watching this channel. Plato?
    2
  32826. One question, do you have any book written by Serge Lang, and another from Graduate Text For Mathematicians, and similar ones?
    2
  32827. Thanks
    2
  32828. BROOO YOURE A G
    2
  32829. This book, "Code Complete" and "Writing Solid Code" helped get me started in my 2nd career as a software developer after I retired from the Army in '88. Yep, I'm that old, having retired from software development in 2019.
    2
  32830. Please, make a full online course of "precalculus", "prealgebra" and "geometry/trigonometry". Thanks
    2
  32831. I'm study pure math in collage, this book 80% i study, and algebra so abstract
    2
  32832. This video is so clear to me thanks a lot
    2
  32833. Hey man, thanks for your vids. I got really bummed not being able to understand probability formulas with combinatorics and venn diagrams. I kept getting unions and intersections mixed up and couldn't figure why out I was misunderstanding "coloring book" math, much less not being able to combine probability formulas with combination formulas. I went searching for youtube videos on how to decode these word problems and came across one of your motivational videos about some people just needing a little more time to learn something. It really helped knowing there was a "math sorcerer" that admitted this about himself and it gave a math orc like me so much hope that I could do this that I cleared my schedule to go over three days-worth of material again since I had an upcoming quiz that I was sure to bomb. I took my time over each lesson point, learned what the formulas were doing and broke down all the exercises to really see what it was asking. Each exercise that I got right deepened my hunger for conquest! Even the complicated ones! Long story short, I ended up with an A on the quiz. I got a quiz tomorrow on general rules of probability and then binomial and geometric distribution and I have significantly more confidence knowing that I can do this.
    2
  32834. Math and I were mortal enemies in school. I hated it! I could have gone much further in life if I could have had at least an average mastery of it. It was not to be. There have been times when i thought I'd try again just to see. Then I remember the terror of having to go to the black board and work a problem in front of the class!! Total shutdown. That and "SHOW YOUR WORK' !!
    2
  32835. I actually dont remember when I started to like math.. I dont have any exciting story to tell. I love math as a college student nd I remember loving math in grade 1, I remember loving number in pre kg nd that's the earliest memory I have. I dont know who or what inspired me because I know for sure that I wasn't always like this but I started taking it seriously when I was 6th grade
    2
  32836. Dover books are so underrated
    2
  32837. THAT WAS EXTREMELY HELPFUL! THANK U SO MUCH!
    2
  32838. yes, this is a 'good recording set up' including the impression of 'smelling' the books ;-)
    2
  32839. If you are still young enough to be in high school, and do not have, or can not afford more math books, then I suggest that you get a library card for your high school library, or a library card for a local public library near to where you reside. Then explore the books that are available with two ideas in mind: 1) find general books about math at your level, then pick out one or two of them to read entirely. There are many authors and books that fill this criterion. For example, the Englishman Ian Stewart has written many books like this. One famous advanced book like this is titled Godel, Escher, and Bach: An Eternal Golden Braid 2) Another strategy is to look for books that are within a single thread of subject matter, getting more specialized book by book. Find a subject matter that interests you, and follow its thread into and around the library. For example, you could start with your algebra book, and consider solving one equation at a time. Then look at systems solving two or three equations at a time, and learn how that works. Then, perhaps in another book, look at how matrix operations help with solving more than one equation at a time. After you have learned a little bit about matrix operations, you can explore matrix algebra as an introduction to linear algebra, and so on, up the line of mathematical complexity and abstraction. Your teachers and librarians can assist you in finding books that are OK for your present level of math achievement, and soon enough you will be able to choose your own math books based on your abilities and interests.
    2
  32840. For now, I am struggling with matrix derivatives, and I know that's because of my weak linear algebra.
    2
  32841. nice one
    2
  32842. Thank you for the clear explaination
    2
  32843. 😱😱😱😱😱😱😱😱😱😱😱😱😱
    2
  32844. Thank you man, i love you
    2
  32845. my father has many of these since his university days, they were sold in the streets for low prices after the fall of the soviet union.
    2
  32846. Can you publish a map of learning mathematics and all the curricula that need to be studied to become a mathematician by publishing curriculum titles or full videos please 😢😢
    2
  32847. I'm sure creepy ass Google algorithms know from their many eyes of Sauron that I failed my Analysis test today and delivered me to your inspiring work. regardless of these creepy systems, you're absolutely right - and an inspiration! I will learn how to do every problem I couldn't figure out and work harder to be a better human !
    2
  32848. Why don't you blink,Sir? Normal human blinks 3 times a min minimum.(for fun)
    2
  32849. He looks like Mozart ;)
    2
  32850. I disagree with the email. I take notes with the intention of them as examples. I do not become a master of the topic in class, that is achieved with hours of work outside the class. I aced my intro to proofs class this way. I wrote down the proofs word for word and analyzed them later on. IMHO participation in the class triumphs the best notes because you’re in room full of intelligent people ready to help you when you get stuck or give quality feedback for your proofs.
    2
  32851. Thanks sir. It was really helpful. Yeah, you are a sorcerer of mathematics.
    2
  32852. How students (usually) cheat : Cheater: "Psst!!! ...what'd you get for #3?" Accomplice: 12 How students cheat in Calculus II : Cheater : 🤓 "Pssst! ... for #3 did you use Integration by parts or Trig Substitution?" Accomplice: 😏 "Partial Fractions" Cheater : 😳 "oh damn...ok, thank you." Accomplice : "you got this, bruh!" Cheater : 🤓 "what did you use for your u-sub on #4? Did you set u=(x² - 1)?" Accomplice: "yes!!! sshhh" 🤫 Cheater : "Good, good, ...so did I, sorry" 5mins later : the cheater sees ∫sec(x)dx on test. 🤓 "Pssst... I know we're allowed to bring 1 flashcard, but I didn't make one cuz it feels unethical... but I notice you have a flashcard; can you check it & tell me if the antiderivative of secant of x, with respect to x, is equal to the natural logarithm of the absolute value of secant of x plus tan of x?" Accomplice: 😤 "dude, you know it is, will you please calm down & relax? You got this, you just have to trust your answers, and make sure you..." Cheater: "make sure I add the C after."
    2
  32853. that is a very bad professor if hes giving work that dont even have answers
    2
  32854. By that logic. 0 can be anything. That's wrong, the way it arranges is wrong.
    2
  32855. Absolute legend thank you – I love your humble approach to teaching maths
    2
  32856. 1st Please pin me big fan ❤😊
    2
  32857. thank you
    2
  32858. Found Jeff Bezos with Long hair?!
    2
  32859. ❤
    2
  32860. wow, thanks for this.
    2
  32861. I currently studying discrete Maths by Kenneth Rosen. What do you feel about his book. Which other books would you suggest on this subject which are great for beginners?
    2
  32862.  @TheMathSorcerer  Thank you for your suggestion.
    2
  32863. kudos, man!
    2
  32864. Because forcing students to buy separate books = more $
    2
  32865. I discard a book as soon as I finish. I realized that like a good meal....
    2
  32866. And we are studying from the day we are born. As soon we indians get 3 years old, the first monster we met in our life is mathematics. Lol😂 Indians can understand
    2
  32867. With those kinds of hair I 100% believe in you
    2
  32868. Are you doing too much Math? I think Paul Erdos would probably say NEVER !!!!
    2
  32869. That was awesome!!! You saved me from extra steps and made it extremely simple to follow and memorize!!!
    2
  32870. It's so abusive, he's not even going to write "=" instead of "≤" :'(
    2
  32871. Thanks
    2
  32872. so this area was largely swept under the rug by the "geometry book" but: Barrett O'neills Introduction to Differential Geometry, Manfredo DoCarmo's Curves and Surfaces, as well as DoCarmo's Riemannian Geometry, Allan Hatcher's Algebraic Topology, John Lee's Smooth Manifolds are all great books about "advanced geometry" if anyone wants to dig in that direction!
    2
  32873. Same for me in my TI-89. It lasted for a longtime too. I had mine since 2008 I guess. Except I don't like the AAA batteries but I found an adapter to allow 4 AA batteries though. It does add extra bulge behind it but its ok as long as I'm not out and about.
    2
  32874. Thank you so much for this video
    2
  32875. What do you think about the use of tablets for note taking?
    2
  32876. I have an algebra test in 3 weeks, my level is really bad, but I think its possible. this video is a great help!
    2
  32877. Can we use (secx)^2 - (tanx)^2 =1, instead of hyperbolic functions?
    2
  32878. In my diff eq class we are now solving D.E’s that are separable, linear, or exact. I realized i needed to come back to this part of Diff eq to be able to identify wth they are before i can use a technique to solve them haha thank you so much.
    2
  32879. You look like newton sir :D
    2
  32880. Wouuu en español q buena
    2
  32881. Thanks..
    2
  32882. Thank you Math Sorcerer!
    2
  32883. Oh its sheaf cohomology. So trivial. Understand it already.
    2
  32884. I used that book when I took calculus in 1968. I kept it for years and may still have it.
    2
  32885. Couldn't agree more. I think it's one of the fundemental skills to build understanding. Probably one of the reasons I loved linear algebra so much was you could look at something a billion ways and still find something new about it that just blows your mind. I'll also share my thoughts on this since I think it's a really under appreciated approach. Aside from the review aspect I find a lot of these things are also applicable for while you're learning something. Say for example in class during a lecture, sure you can understand the simple messages and copy down the process your professor does but there is so much more you could be doing. Like thinking of the applications and motivations for doing what's being taught at that moment, or the why you do certain steps in a proof. Obiously you have much more time to explore ideas after the fact when you reflect on your notes but you can have the same active thinking mentality throughout. If you spend more time thinking about it over trying to memorize it you'll both remember and understand the subject better.
    2
  32886. how important is algebra and why?
    2
  32887. I'm going to get this textbook. I'm currently in a graduate course. Thank you for sharing. 😄
    2
  32888. If at any time you don't understand anything, just ask me, and I will make sure not to put it on the test. Haha, I have scars from this.
    2
  32889. Is Thomas' Calculus Good for Self-Study ??
    2
  32890. Really needed to hear this today, number theory kicked my ass today!
    2
  32891. I know what to get you for Christmas. O_O
    2
  32892. Happened to me as well.
    2
  32893. *Never give up on maths
    2
  32894. Fourth
    2
  32895. That x bound is invalid
    2
  32896. Is advanced calculus the same as multi variable calculus? Calculus was split into 4 quarters in my college calculus a,b,c and d
    2
  32897. Most people that go into the sciences are misfits. I learned this by working in a biomedical research lab for many years. Many go into science to get away from society.
    2
  32898. I disagree so hard. Thinking hard about why a solution works is the most efficient and effective way. Everything else is most likely wasting energy, nerves and time
    2
  32899. Exactly
    2
  32900. I like how you smell the book ( because I did it too in early days ).
    2
  32901. W man
    2
  32902. How many hours do you recommend to work on mathematics outside of school?
    2
  32903. Amazing thank you
    2
  32904. Go Knights! I’m at UF right now for undergrad but I love UCF! I bought Elementary Analysis by Ross and Analysis I by Tao from your recommendations and I love them so thank you very much
    2
  32905. "Hey whats your name" SPEED "What we eating today?" SPEED "Hey can you help me with.. " SPEEEEEED
    2
  32906. i feel attacked lmaoo
    2
  32907. My QM prof just gave us the same “exam prep advice” verbatim, minus the chapter range.
    2
  32908. board is amazing!!!!
    2
  32909. Some people in my uni take like five math courses per semester. I don't know how they retain all of it.
    2
  32910. Number theory?
    2
  32911. Thank you, I feel like you have reanimated me to get back up on my feet and stop wallowing in my failure of a life. I can do it, I just need to find my balance, figure out my why and face my greatest fears!
    2
  32912. Seems way more enjoyable than our last penmanship contest
    2
  32913. Thanks man❤
    2
  32914.  @TheMathSorcerer  Well I am 13, so any books I buy depends on my parents. However, thank you for the recommendation! I will definitely check that out.
    2
  32915.  @pinklady7184  thank you for the recommendation. I will check it out.
    2
  32916. THANK YOU!!!
    2
  32917. This video is a documentary.
    2
  32918. Thanks for the encouragement!
    2
  32919. Thanks for this lesson.
    2
  32920. I came upon this realization myself wayyyy too late. Calc 3 was a turning point in how I studied for math. You cannot waste any time on exams!
    2
  32921. If you are Walmart, the odds are against the person next to you knowing calculus. Your odds might be better, at say, Starbucks.
    2
  32922. Thank you!! You have saved me
    2
  32923. I’m in two math classes, a physics class (with lab), and a chemistry class (with lab) right now. The volume of work/studying is probably “enough”, but per class, it is definitely not. Anybody else doing math, physics, or other math-intensive STEM, limit yourself so that you can focus and do quality work on a few things rather than stretch and spread your focus wide like I am right now.
    2
  32924. You are so cool!
    2
  32925. I also got FAT STACKS ... ... ... ...of math scratch work
    2
  32926. Whatever Gandolfini Einstein 😉🤣🤣
    2
  32927. Cosine Is not álgebra. Ask Hilbert.
    2
  32928. Wow, Unfied Calculus by Smith, Salkover and Justice! I would suggest having a slide rule, too.
    2
  32929. true math sorcery
    2
  32930. Thank you!
    2
  32931.  @TheMathSorcerer  when you wrote 5 is that the answer to the problem?
    2
  32932. made my day
    2
  32933. ❤❤❤❤❤❤❤❤❤
    2
  32934. Great explanation
    2
  32935. An episode on the books on Set theory professor?
    2
  32936. Is advanced calculus the same as real analysis?
    2
  32937. I learned Linear Algebra from Gilbert Strang's Intro to Linear Algebra. That's a good book too.
    2
  32938. Your a good dude your actually cognoscente of all factors
    2
  32939.  @TheMathSorcerer  thanks sir,you always help👍👍👍👍👍👍🤗🤗🤗
    2
  32940. I Google all my answers 😁 I'll never catch up. I am sorry but I'll live with the inadequacy.
    2
  32941. 17:44 call me out damn
    2
  32942. Thanks a lot from the bottom of my heart.
    2
  32943. Wow
    2
  32944. I don´t speak english at all, and I understand everything! Good Job and thank you.
    2
  32945. ❤❤
    2
  32946. I still don't get it 😭
    2
  32947. My topology class is making me want to give up.
    2
  32948. Jeff Bezos’s long lost brother
    2
  32949. Actually, you should first get C then A in CALCULUS ... C-A-LCULUS
    2
  32950. I love a channel
    2
  32951. It's easier to understand soviet based mathematics
    2
  32952. Guys, please don't introduce tiktok to this man💀
    2
  32953. youre stroking youre ego throughout the whole video, zero punch lines.
    2
  32954. Does anyone remember the name of that really pretty geometry book or sets of books? All I can remember is they have a black cover and a minimalist design and color palette I need to look them up for a series of books w/ a companion app I'm making for free, like if khan academy was cool B)
    2
  32955. Could you make a video about the best online math learning resources?
    2
  32956. thank you very much sir !
    2
  32957. Yes. I do need help, with some problems that's why I watch your videos ( because no one at home can help me), but ultimately it is possible to grasp the basics and build on your understanding of the subject it's a strategy that has help me reach new heights. I simply can't help being curious and I will, of course, seek to satisfy my curiosity. (I see no reason in wasting my time learning something that does not interest me.)
    2
  32958. Yea I got it but I'm not telling anyone ! 😏
    2
  32959. Indeed in math, your attitude determines your altitude. You never know how far you can go until you try. Please enjoy to step towards unknown territory. The excitement of new discovery is a bliss.
    2
  32960. Midterms coming. I’m back. Need the inspiration.
    2
  32961. Make a video on why one should have good maths ????
    2
  32962. Can you recommend something for Probability, especially how to understand it and solve any kind of problem.
    2
  32963.  @TheMathSorcerer  thanks for responding, I always get messed up with the language in probability even after understanding it during studying, after awhile when any tricky problem comes I can't solve it, I will check the book.
    2
  32964. That's so much me😂
    2
  32965. 😂😂😂😂😂😂😂😂😂😂😂😂😂😂😂😂😂😂😂
    2
  32966. You have to be careful. Some of these computer questions insist on using a z-table to get your final answer and not a statistical calculator. This means you lose accuracy, because a z table only accepts two decimals for a given z score (but outputs 4 decimals for area). P ( Z > -0.25) = 1 - P( Z < -0.25 ) = 1 - 0.4013 = 0.5987.
    2
  32967. Maybe take a photo of those books you are going to miss?
    2
  32968. He got that no fucks given marker hold.
    2
  32969. This is a great topic to discuss for students such as myself. I like your advice about # of credits * 5 is what you should study weekly. I'd also like to add that the studying needs to be serious and critical. This is my biggest problem I think I've had in college where I just finished my associates in math but I don't know how to study yet. I spend more than 5 hours a day and at least 30 hours a week usually to study only for a four credit hour class (discrete) but because I'm mostly casually going over the material it doesn't really click to me, I usually shut down or get brain fried when I don't understand something and I feel like this will be a major problem going forward in the degree and I'm not really sure what to do about it.
    2
  32970. I've been struggling with this even though I'm listening to my professor repeatedly.... thank you so much.
    2
  32971. totally AGREE dude.
    2
  32972. dis nibba needs to become an expert on being handsome asap lmao
    2
  32973. Don't burst into years man....🚬🚬
    2
  32974. i addicted to maths by addicted to your channel. My marks in maths are getting better. plz continue this support. Thanks
    2
  32975. thanks boss
    2
  32976. Algebra: You have 2 apples, 1 orange, now how many bananas do you have.
    2
  32977. 🤣🤣
    2
  32978. Yeah you should.
    2
  32979. Idk why I clicked this I hated math in school. It always made me cry as a kid. 😂 respect to those that are math wizards though.
    2
  32980. How would someone find "cheap" math books on advanced subjects?
    2
  32981. I did math under French and Russian curricula. One of craziest subjects is Differential Geometry, which is like potential calculus, and we did that in our 3rd year college math. A lot of deadly proofs, only 5% computation. Fun.
    2
  32982. God bless, Jesus loves you.
    2
  32983. And the one on conic sections
    2
  32984. from 1:02 to 1:07 he says "books" in three different ways. 😂
    2
  32985. Thank you for the advice.
    2
  32986. Hi sir, if the variable is g(x)... is it the same as f(x)? Thank you sir!
    2
  32987.  @TheMathSorcerer  Thanks for replying sir! Godbless and stay safe! Happy tchrs' month!
    2
  32988. surfing and health?
    2
  32989.  @TheMathSorcerer  I hope it has loads of exercises... :-)
    2
  32990.  @TheMathSorcerer  could you "misplace" some more books on the shelves behind your back in your next videos? It would be like some kind of hidden quiz: find the odd book out! And the titles of the books could form an additional enigma for me to solve...
    2
  32991. 1 pot of coffe too!Filter!
    2
  32992. I got one Sullivan's book in Spanish and It's really thick.
    2
  32993. His books are still being sold today
    2
  32994. The Math Sorcerer Thanks!!
    2
  32995. I have had a lot of luck getting used books from better world books 3 or 4 dollars.
    2
  32996. Come to Argentina!!
    2
  32997. finish ?
    2
  32998. It's easy for students to criticize college entrance exams. Exams are given for a reason.
    2
  32999. This is so Spot-On! Wow! Your video(s) has helped me even before I've applied any of your suggestions. Thank you!
    2
  33000. nice of you to think that Engineers use pen
    2
  33001. the sorcerer speaks wisdom my friends
    2
  33002. thanks you save ma life
    2
  33003. Munkres is the best introductory topology book I have read. Munkres also has a book specifically dedicated to Algebraic Topology called “Elements of Algebraic Topology”. The best book on differential topology I have read would have to to be Morris Hirsch’s “Differential Topology (GTM)”. Thanks for the awesome video. Do you have any recommendation for algebraic geometry?
    2
  33004. Min at (-1,-1)
    2
  33005. i hate mathematics but i watched this 😂
    2
  33006. Thankyou for this and can you do apostol calculus review....
    2
  33007. ah finally
    2
  33008. This is a good video about an important topic. I'm taking math classes past associates, haven't necessarily started a bachelor degree, but I still don't know how to study in math. I keep grinding and grinding, looking at instructor's notes, occasionally do problems but cannot consistently do it or program myself to. I have a feeling I'm in for a reality check.
    2
  33009. Thanks
    2
  33010. Awesome problem
    2
  33011. HAHAHAHA
    2
  33012. Hello fren, why do you love math so much? What do you see in math that most don't?
    2
  33013. The summary at the end made it clear! Thanks!
    2
  33014. I was waiting that he to do a push up with maths, Im sadly
    2
  33015. here final exam =100%, no other tests. Do or Die
    2
  33016. LibraryThing is an on-line book cataloging site with over 2.5 million patrons and 150 million books cataloged. The site offers multi-faceted views of books and their readers, and a place where you, too, can catalog your books either for private reference or public display.
    2
  33017. larson >>> stwewart
    2
  33018. <3 :)
    2
  33019. Yes that’s my favorite pre calculus book because it has so many topics & tons of problems. Nice one!
    2
  33020. Great answer, thanks Math Sorcerer.
    2
  33021. thank you, realy good explanation.
    2
  33022. everyone should share his video's to facebook math group's! let's get this man's hard work out there! for everything he does for us every day. he truly, is a magical man. hahah get it, cause the sorcerer thing.
    2
  33023. wow, this hit home for me
    2
  33024. The guy knew FROM THE BEGINNING to START by writing sideways? I get the impression he knew something ahead of time HUMMM like the questions!!!
    2
  33025. Yeah, in the good old days libraries got softcover books properly bound instead of just wrapping them in self-adhesive transparent vinyl like they do these days. 😁
    2
  33026. Yeah a majority of this was used for my undergrad.
    2
  33027. This man helped me go through everything at all.
    2
  33028. Lesson from my racing days: Swim with bigger fish, to get better. Embrace the challenge!
    2
  33029. prof! Do you have video(s) for strong induction?
    2
  33030.  @TheMathSorcerer  😭😭 but thank you so much for reply! 👍👍
    2
  33031. watching this video in 2024 and they made a joke about it lol
    2
  33032. These were not the hardest calc 2 topics. I think surface area, some trig integrals, and manipulating power series are much harder.
    2
  33033. Yes!! Howard Anton!! Don't have the book, but know the name, and have my $0.02 (as usual, lol.) I recommend: Anton & Rorres"Elementary Linear Algebra" 8e Applications Version (by Howard Anton & Chris Rorres) We are using Ron Larson's Elementary Linear Algebra book for class. meh... Now, Larson's Calculus book was good, (if you don't mind overpaying for a bunch of sheets with no spine that you shove into a trapper keeper, then yeah it's fine,) i.e. the content was good... (but not as good as Stewart's "Early Transcendentals.") I am quite displeased with Larson's 8e Linear Algebra book though: 3 chapters are not even in the book, they are online. They skip important steps in the examples, and we've only gotten to inverses. Luckily my friend gave me his old book: ("Elementary Linear Algebra" 8th edition by Anton & Rorres!!) It's just sooo f***ing good!! I'm sorry, but it is!! And It has an entire chapter dedicated to applications like Graph Theory, Fractals, Chaos!! Cryptography, Warps & Morphs, and more... everything that made me look fwd to Linear Algebra (despite the "Zoom" classroom,) and it's TWICE as thick as Larson's. (Size does matter.) So yeah, I plan to use Anton & Rorres' book in addition my required reading. And if any of you see Larson hanging around with his "Math groupies" you can go ahead and tell Ronny: "he knows where to find me!" (...at the monkey bars, after school.) Hang on, the monkey bars have been removed??? Ok then, meet me over at the kickball diamond. What? Flooded? Well, we did get a lot of rain. (I'm just kidding. Good for Ron. That's a great achievement; if I wrote a Math textbook I would probably never stop talking about it lmao.)
    2
  33034. Bruh
    2
  33035. Thank you
    2
  33036. No Spivak's Differential Geometry series? Not fancy enough.
    2
  33037. Good notes, we like your diferential classess. Good teacher ¡¡¡¡
    2
  33038. hahahaha I really liked this one!!
    2
  33039. Matt way needs to visit you sometime
    2
  33040. The book by Lockwood is a great one; sort of a classic.
    2
  33041. thanks it makes so much more sense with this explanation
    2
  33042. embrace the struggle....nice
    2
  33043. Damn am first to watch
    2
  33044. Well sir as a Hindu we have many lives😅. BTW big fan
    2
  33045. I could've used this advice this time in 1977. I became so frustrated in linear algebra (another "C"!) that I dropped the course in the eighth of the ten weeks. My professor never asked me why, else he could've fixed the problem. At the time, I tried to memorize everything, which served me in grad school but not well during my two master's.
    2
  33046. The videos are extremely nice. To be helpful if the viewer is new to complex algebra, the video for z^5 +32 =0 assumes that the viewer knows Euler's formula can be used a an equivalent to cis, there are 5 roots since z is raised to the fifth power, and that you are familiar with DeMoivre's formula. The example is very nice assuming you are familiar with these ideas.
    2
  33047. Is maths major subdivided into other majors like calculus or algebra?
    2
  33048. @math sorcerer so is the answer yes or no?
    2
  33049.  @TheMathSorcerer  thank you,can pure or applied mathematics major be divided into other majors too?
    2
  33050. My condolences to those in the maths major.
    2
  33051. Concrete Math is hard. It's a great book.
    2
  33052. I share it, is a very important component of learning!
    2
  33053. How much of calc 3 is based off of calc 2?
    2
  33054. very helpful. thank you so much.
    2
  33055. Thank you!!!!!!
    2
  33056. Şimdi başlarsam hazirana kadar biter mi? :D
    2
  33057. GREAATEST OF ALL TIME
    2
  33058. Everytime The Math Sorcerer solves a problem , an angel gets it's wings
    2
  33059. When will you do a video about Category theory?
    2
  33060. Thank you hahahah I feel this personal
    2
  33061. Have you posted videos of any combinatorics books?
    2
  33062. Thanks you sir for helpful 😍
    2
  33063. We need that video about grad school students.
    2
  33064. you are great thank you
    2
  33065. Greatest motivational speech ever! ❤ thank you sooo much
    2
  33066. Do you lecture on Analysis? I suppose I could check your video history, but it just seems easier to ask!
    2
  33067. do you have volume 2?
    2
  33068. What do you think about foland's advanced calculus?
    2
  33069. Getting stuck on a problem is the best thing you can do. I've been stuck on the very first problem of Polya and Szego for months now.
    2
  33070. dude thats one hell of a shirt
    2
  33071. Wow the math sorcerer is always surprising me with his videos. Fire.
    2
  33072. Excuse me sir, isn't there any possibility that a convergent sequence "blows up" divergently in some of the first "N" terms so that makes the sequence unbounded?
    2
  33073. I'm getting bad flashbacks and remember why I changed my major
    2
  33074.  @TheMathSorcerer  went from EE to PSYCH
    2
  33075. You give sunshine to all mathematic's pupil..Again I owe you one from the heart core...
    2
  33076. U
    2
  33077. Me ,who tried solving JEE maths after reading this book !!:goodvibes:
    2
  33078. Thanks a million!!!
    2
  33079. I'll give you free storage
    2
  33080. Ok sam sulek
    2
  33081. Would you recommend that ultimate bodybuilding book I see for my engineering degree too lol
    2
  33082. This is the hell I live every day, since I aspiring to be a polymath, I love it, my IQ is good enough, but I feel stupid as hell.
    2
  33083. Thanks. Trig was never an issue for me; just another math class.
    2
  33084. I have few of these books in my bookshelf. Very good and covers the content very well
    2
  33085. Math is easy.
    2
  33086. Thanks, I really needed this.
    2
  33087. love you buddy thank you I wish i could join your channel but this service is not available in my country
    2
  33088. Thanks for the words. Growing up I was crap at math. After years of avoiding college I decided to study CS. Initially I had to drop precalc because of how bad I was at it. I’ve also become a math major and next thing ya know I went up to Diff Eqs. I thought I had gotten good at math until I took my first proofs course. Ended up with a C … it was my first real math course at a University and I felt so slow compared to others. Now I’m frightened for more proof courses and then real analysis. All I can do is ease up on the pot and study even harder
    2
  33089. Man, he's fit
    2
  33090. Thanks sir ❤️
    2
  33091. May try it
    2
  33092. I took Complex Analysis from Ahlfors using his book. I would call the book difficult but not rigorous, with lots of hand-waving.
    2
  33093. You're like the Sam Harris of mathematics.
    2
  33094. Thank you for this. Discipline is indeed very important. I need to work on it. I miss working on math. Maybe I'll manage to return back to grad school in my free time from work. It'd be lovely...
    2
  33095. How things are different since 28 February 2020...............as of today 8 October 2020 nearly 36 million infected with 26 million recovered. Over 1 million deaths.
    2
  33096. I really need someone to tell me about this right now ! thank you sir
    2
  33097. https://coronavirus.jhu.edu/map.html , they cancelled my linear algebra test and shut down the whole school period for a month im in costa rica though
    2
  33098. Thanks for using my advice in the thumbnail. 😍 In my opinion, the i,j,k unit vector notation is just ugly and confusing in compare to x,y,z. I don't even like using i,j as indices.
    2
  33099. Dude you have to change the cover of your book, immediately.
    2
  33100. can u talk more abt choosing ur career in ur exp it would be rlly helpful
    2
  33101. Guys, the man just made $3.6million in the 20mins he said, he lost when he made a mistake.😂 Thanks for the lecture ❤ It was very helpful!
    2
  33102. Hello, can you show what math topics do engineers learn? Specially for CS
    2
  33103. it is a great book indeed
    2
  33104. Awesome vid! Totaly love it! 🤩🥰
    2
  33105. Narrator has unique enthusiasm about all math topics-kudos
    2
  33106. I love your show! Especially lately. How did you get it? That statistical mathematics is the real kicker! Love math ! Great!
    2
  33107. too bad there is no chapter 4 lectures.
    2
  33108. Abdallah Kiswani whaaaaat no thermo 2????? Heat transfer at least? Lol
    2
  33109. what if the equation will be y"+y=5sint?
    2
  33110.  @TheMathSorcerer  so it mean the variation of parameters can also be use to get the exact answer even though we will not use the undetermined coeffients?
    2
  33111. For practicality, there's always e-prints
    2
  33112. happy to learn tips from sir Isaac newton the 5th
    2
  33113. Good Spanish pronunciation 👌
    2
  33114. Quality advice!
    2
  33115. Never thought i would see jeff bezos wearing a wig and teaching math
    2
  33116. Cal 1 was bread and butter, cal 2 I struggled abit, actually I failed that one cuz I didn’t get it, took it about 2 times and passed (barely) now I’m cal 3 and the concepts are relatively easy to grasp. I’m
    2
  33117. Great and simple video, thanks!
    2
  33118. Excellent life coach
    2
  33119. Really cool book there...Math Sorcerer can u check any book from Clifford A. Pickover? nobody talk about him but the guy has written a lot of really cool math books
    2
  33120. This video inspired me to blow the cobwebs off <<Engineering Mathematics>> by K A Stroud. (There is an Advanced Engineering Mathematics sequel.) It uses programmed learning, so is broken into 10 minute steps already. Can be bought cheaply second hand. (The Brilliant App uses a similar approach - with the added benefit of animation.) The book is sitting by my bed, so great for a quick check before I drift off to sleep. I have just completed "Complex Numbers #1". This approach will teach the technology of maths - but won't get into the methodology or epistemology - which would require a greater commitment. However, the 10 minutes is possibly a "Gateway Drug" - once into the flow, some people will keep working for a lot longer.
    2
  33121. Looks interesting! One question: Does Complex Analysis by Lang suits a beginner's study well? Many sources on the internet advise against it, but it's the only complex analysis book I have lying around (picked up before lockdown from the library). Also, I didn't have much problem reading the first chapter at least (I'm a slow learner 😅).
    2
  33122. Dang I miss college
    2
  33123. im 32 years old and attended WPI college but dropped out freshman bc major depression along with other personal things hit me hard. I only just got a control on it through many years of therapy. Ive been watching so many math courses on YouTube and with a clear focused head ive never been more interested and hungry to learn and prove to myself that I am capable of understanding complicated math. I Started meditation and I have to admit of all the therapies with professionals nothing compares to meditation. Anyways what im getting at.,. is 32 years old too old to start relearning math from the beginning? i swear I watched a trig course on here the other day and it was so clear like learning from someone that is teaching for free knows their stuff and they make it fun... I wanna make Archimedes proud
    2
  33124. Thanks a lot for this video I have searched for months for one to guide I really appreciate it I have a question though can I get a different edition like sussan epp 4th instead of 2nd or there's much difference
    2
  33125. Thanku sir 😇.
    2
  33126. "I'm surrounded by Math books!" Surfing and Health says hello :)
    2
  33127. Determination
    2
  33128. The thank you for the excellent tips
    2
  33129. Use the definition of convergence to figure this out. Since the limit exists for this series and the limit is finite, then the series converges to its limit. In this case, the series converges to 1.
    2
  33130. Thank you sir ,,real motivation
    2
  33131. someone once said “While the number of friends may feed your ego, it will never satisfy your heart”
    2
  33132. thank u for this video
    2
  33133. your video is so easy to understand like how in this video you break down points to think like a genius which makes me think really deeply in every word you say .
    2
  33134. 6:26 -- 四川 (Sichuan) - 大学 (University) - 计算机 (Computer [Science]) - 学院 (College)
    2
  33135. I have your book. I want to get more solid on calculus before going through your book which looks very good
    2
  33136. Thanks for the well-meaning and excellently timed intervention Youtube, unfortunately I'm going to ignore this until it's too late :))
    2
  33137. Would these be helpful while using Khan Academy, or similar, to learn maths?
    2
  33138. Probably late now, but for Masters at a lot of schools, you gotta pay, but for PhD, they pay you. For a lot of the options, you get your Masters along the way. So, you can always choose to opt out after you get your masters if you want.
    2
  33139. On a job yes, in a school no. In a school your there to learn how things work not to find an answer. Yes learn how to use the calc
    2
  33140. Thank you, James May
    2
  33141. In the USA everyone has a chance and in other countries, only the upper has a chance. Not a bad thing, just different cultures.
    2
  33142. It's always a pleasure to watch your comedy videos (They're extremely funny😅).
    2
  33143. I've been going through your abstract algebra playlist to prepare for my summer class on field and ring theory. Hopefully they'll still be doing summer classes by then because I really enjoy it!
    2
  33144. Can you do a similar video for physics, thanks 🙏
    2
  33145. thank you!
    2
  33146. I searched for the blitzer book you suggested but couldn't find it. I found other editions of this book (4th,5th etc) and even the same edition (2nd) but with a different cover. Should i go with one if these as an alternative?
    2
  33147. I can't even sit down for 3 hours a day and it takes me alot longer to work through problems. Probably why I still haven't passed Algebra. I agree with the message of working hard, but grind grind grind culture is toxic in my opinon. There's a reason the US ranks low in education compared to other countries.
    2
  33148. thank you for your videos
    2
  33149. Thank youuuu i was looking for a video like this for a while and couldn't find one ❤
    2
  33150. i understood this and i dont know what it is and what we doing.only i want is pass the exam tomorrow.
    2
  33151. i recommend the book Mathematicians Delight, by W.W Sawyer. a must read as an introduction into math.
    2
  33152. Thank you.
    2
  33153. This is a subject that I would love to discuss over donuts full of coffee . I would add that one should emphasize that in order to fail, it's necessary to DO math and to reflect on the failure, preferably with a mentor/coach/teacher to guide one. That's one reason why I like Brilliant and the Khan Academy mastery exercise software and videos. Failure should be the beginning of learning and an assessment tool not a filter. In talking about education reform in 1921, H.G. Wells in his book, "The Salvaging of Civilization", used his own student problems with mathematics to point out deficiencies in the educational system. Hermann Weyl was a mathematician that contributed to physics and although his efforts in physics seemed to be failures and Dr. Einstein claimed his math led to physical effects that were clearly incorrect, they created a tsunami in physics leading to things like use of Group Theory and Gauge Theory. "Weyl's gauge theory was an unsuccessful attempt to model the electromagnetic field and the gravitational field as geometrical properties of spacetime." " Einstein admired Weyl’s theory as “a coup of genius of the first rate”, but immediately realized that it was physically untenable. After a long discussion Weyl finally admitted that his attempt was a failure as a physical theory." - Gauge Principle and QED by Norbert Straumann "Here I must admit your ability in Physics. Your earlier theory with g(prime)ik = λgik was pure mathematics and unphysical. Einstein was justified in criticizing and scolding. Now the hour of your revenge has arrived." - letter of Wolfgang Pauli to Hermann Weyl Note on the absence of the second clock effect in Weyl gauge theories of gravity by Hobson, M. P. and Lasenby, A. N. It seems to be turning out that Weyl's mathematics contained something that Einstein missed because of confusion over the physical interpretation of the mathematics and use of physical principles used in General Relativity. "Once again I am impressed by Einstein’s profound physical insight, which served him so well in assessing the significance of mathematical equations in physics. Of course, his conclusions depended critically on the mathematics at his disposal, and displacement gauge theory was not an option available to him." - Gauge Theory Gravity with Geometric Calculus by David Hestenes Dr. Albert Einstein, PhD stated that he wasted two years working on General Relativity because he misinterpreted the meaning of a mathematical result and in response to a child's letter regarding problems with math, he encouraged the child to persist by confiding that he also had trouble with math. It was true but he was very proficient with mathematical tools and he was working with advanced mathematics where the meaning of equations and the physical interpretation of the math wasn't clear. He didn't have Mathematica and 3-d graphing software to help him. Dr. Einstein was even corrected more than once by mathematicians and he once said that since the mathematicians [like his professor Minkowski] got into Relativity he didn't understand it himself. That was a quasi-truth but without help from his wife and his friends like Marcel Grossman, and fellow physicists and mathematicians, Dr. Einstein would not have been working with tensors and nobody would ever have heard of Gauge Theory. https://www.askamathematician.com/2009/12/q-do-you-exactly-know-what-einstein-meant-by-do-not-worry-about-your-difficulties-in-mathematics-i-can-assure-you-mine-are-still-greater/
    2
  33154.  @TheMathSorcerer  thank you :)
    2
  33155. Awesome explanation!
    2
  33156. I just wanna say thank you for all your videos! They’re something that help me greatly almost every time I work on math. I really appreciate you taking your time and making such a massive collection of videos. It wouldn’t be the same without your videos! Thank you once again!
    2
  33157. ah ha!....reverse psychology!
    2
  33158. Thanks for sharing! Keep shining and inspiring for learning
    2
  33159. Thank you so much❤
    2
  33160. Hello math sorcerer! I am taking "Ring, Field and Galois Theory" class on my third year at undergrad. Our professor has given us students some very hard questions, which even our assistant teacher who has taken all grad level algebra courses before, to study and get a general perspective about the matter. Also, we are using the Topics in Algebra 2nd edition by Herstein, and the questions with 1 or 2 asterisk questions are really pulling our motivation down. What would you suggest us to do? I'd really love to get better in Algebra, so a general tips and tricks info or a video about the topic would be lovely. Bless you with your work!
    2
  33161. thank you
    2
  33162. "trivial"
    2
  33163. When I read the word 'sorceror' it already reminded me of my fav Harry Potter series....and when I saw you...OMG...u wear the hat which actually looks like the one which classified students to Slytherin, Gryffindor and other grps! This was really very surprising!
    2
  33164.  @TheMathSorcerer  Ah! A counter example! Great, finally I am able to find some results. Google only found rhymes on that word in my language :D Thank you!
    2
  33165. Hi Math Sorcerer, Great channel! These books are also great for self-learning: "Mathematics and It's History, 3rd.", by John Stillwell; "Elements of Mathematics: From Euclid to Godel", (again) by John Stillwell; "Mathematics: Form and Function", by Saunders MacLane; (to understand the conceptual side of the subject) also, "What is Mathematics?" is great too [which you've already covered]. regards
    2
  33166.  @TheMathSorcerer  Thanks for the reply. I've been thinking on-and-off of doing a youtube series based on "What is Mathematics?" - It's a great first intro to mathematics for math majors, [and, as Herbert Robbins states in the work, recommended pre-reading for new undergraduate math majors to Cambridge University.] - Will help any math major understand the essentials of the subject. Highly recommended. (y) cheers
    2
  33167. I do some of these often, but my friends are still my friends.
    2
  33168. Thanks for simplifying life Dr Maths Sorcerer,waiting on more book recommendations,lots of likes from a chiily Ethekweni,east coast RSA...
    2
  33169. Nice explanation, thank you.
    2
  33170. Thankyou so much sir. I agree sir,like Richard Feynman said he was an ordinary person who studied hard and the thing is he was interested in it. I think sir efforts take more time, so through more efforts we can reduce the time for understanding. So time is not yet gone, you can start at any point of the life and we will change the world ❤❤❤❤❤❤❤❤.
    2
  33171. Which book is this professor using as a reference, please? If you could please try to put the camera in a different place to have a better angle.
    2
  33172. It matters until it's done :)
    2
  33173. First comment
    2
  33174. nice proof, thanks!
    2
  33175. Excuse me but Math isn’t singular - it’s plural 🤓. Depending upon where you come from of course, but please remember English English was the first English 😊
    2
  33176. Subscribed, you better keep making videos!! :D
    2
  33177. So this book and Schaum’s together would make a good combination to supplement existing materials for a two semester discrete math sequence in a CS curriculum?
    2
  33178. The Math Sorcerer I can’t tell you how much I appreciate what you do on this channel. You have really helped me in practical ways with your excellent instructional videos but also inspired a growing love for math in this computer guy. Before, it was something I used and sort of a necessary evil of sorts. Now, it’s like a beautiful world of imagination and possibility and all I need are my books, pencils, paper and brain.
    2
  33179. I'm 33, and I will join a master course next year
    2
  33180. 9:31 Is statistics not math? lol. I still hate it tho
    2
  33181. Pineapple is my favorite topping. Thank you.
    2
  33182. Thanks for this video! I have a question: Larson or Stewart Calculus?
    2
  33183.  @TheMathSorcerer  Thank you! I have one more question. Should I choose Early Transcendentals or normal and do both cover multivariable?
    2
  33184.  @TheMathSorcerer  Thanks, you're the best!
    2
  33185. How do you go about applying to graduate school for math?
    2
  33186. I am puzzled by the large amount of commenters speculating that it's because you encountered the elites of those countries. That is a completely false assumption. They are very good at calculus in high school because they are the elites, but the underlying fact is that calculus is required in high school. It is required for everyone who wants to pass the class; it is not optional, it is not extra-credit; it's just part of the national curriculum of most countries. Then, the question itself is intrinsically wrong; if the majority of developed countries do more undergraduate and high school math than the US, then that is the standard and the question in the standard frame of reference becomes "why is there less undergrad math in US". Now, to this real question, the answer must be demanded from the US legislators that made a mockery of the educational system and created a vast mass of people who confidently buy a pack of 81 Tide pods at $29.71 when inside the very same shop you can buy the exactly same pods in packs of 31 pods at $8.91. And, yes, I have seen people buying the 81 piece packs that were on the same shelf next to the 31 piece ones. Links for proof as of today: https://www.walmart.com/ip/Tide-PODS-Free-Gentle-Liquid-Laundry-Detergent-Pacs-81-Count/107424194 https://www.walmart.com/ip/Tide-PODS-Free-Gentle-Liquid-Laundry-Detergent-Pacs-31-Count/36544317
    2
  33187. An additional point, it also helps if you change your hair style a little too, then you really belong there and bleming with that extra confidence.😁
    2
  33188. After struggling to learn math in depth, I found out that for learning the fundamentals of physics I only had to have a grasp of the relevant math. Since then, I have succeeded in my studies. (I study alone at home, btw. Started a bachelor course but left because I was finding it boring, since it was a highly valued university and they are too demanding. Imagine having to memorize matrix operations. I don't need that in order to do math. I can use some software on my pc to do this kind of work for me.)
    2
  33189. Man, I think we could be true friends in real life, I also have a fetish for vintage math books😜
    2
  33190. can we also use Integral( 1/sqrt( x^2 + 1 ) ) = arcsinh(x) ? are the two forms always identical?
    2
  33191. hyperbolics to the rescue!
    2
  33192.  @沈博智-x5y  Thank you.
    2
  33193. Did you find out why you only managed to score 2%?
    2
  33194. In few words: some people learn faster because they learn faster. Thank me later.
    2
  33195. Thank you for giving so many examples
    2
  33196. But... disk and shell methods are in Calculus I in my university..
    2
  33197. Thanks for another great one Sorc, hope you're well today
    2
  33198. You saved my college life
    2
  33199. Great video !
    2
  33200. Well said
    2
  33201. Terrence Tao is featured in this?! I've heard of him through numberphile, isn't he a Field's medalist?
    2
  33202. I've heard that "elements of complex variables" from Louis L. Pennisi is a good book too, but i haven't seen it myself
    2
  33203. I think Obsessiveness can have negative consequences, I prefer thinking of it as in “in love” with mathematics. The drive to grasp a concept and even when you struggle through a problem the moment it all clicks, makes it worthwhile.
    2
  33204. After primary school i had different jobs and worked for 15 years. I returned to school at the age of 30 fast forward 5 years and now i am an undergraduate student in math. I feel like i have wasted so much of my life, not studying math and just exchanged my time for money doing meaningless work. It feels as if I am behind all of these young people around me in the university. It is hard I think but it is all in my mind. PS: I like your videos
    2
  33205. I'm taking 3 Math and 2 Physics courses rn, 2nd year Uni. It's a lot of work, and I'm studying a lot, but you're right, it's not enough. Too many courses at once spreads my study-time thin. Pray for ya boi 🙏
    2
  33206. Great video!
    2
  33207. You should do a book review of the Analysis texts by Vladimir Zorich and Elementary Real & Complex Analysis by Georgi Shilov :D
    2
  33208. Thank you very much ❤
    2
  33209. Spot on!....Thx Sorcerer!
    2
  33210. I could not stop laughing throughout this video, :)))
    2
  33211. Thank you.
    2
  33212. Love it.
    2
  33213. MML pearson omg.
    2
  33214. You’re doing the Lord’s work
    2
  33215. I got a BIG FAT F in my vector calculus class last semester so this will be a big help when I retake it in a few weeks LOL
    2
  33216. Thanks!
    2
  33217. I left when he said to focus for 1hr...
    2
  33218. His father is also from Cuba
    2
  33219. Sir... thank you so much. I'm asking my mother to buy your abstract algebra course. She wants to know what good book to supplement it with?
    2
  33220. "math competitions have nothing to do with math" -- Paul Halmos.
    2
  33221. Excellent 👌 sir thank you very much may God continue to bless you
    2
  33222. Hello friend! My quest to relearn math from the ground up continues with Prealgebra. I put Discrete Math on hold because the “juice wasn’t worth the squeeze”. Anyway I enjoy this and it removed some of the cobwebs from the rules of integration learned 35 years ago!
    2
  33223. Probability is the branch of math I dislike the most. I passed the one obligatory course in second time, I was only 1 point above the corner :) unfortunately 100% of job orders related with Mathematics are Probability,Statistics and its applications (Finance, Data analysis, machine learning) so its not easy for me to find a Job.
    2
  33224. Neat! Thanks! Nice problem!
    2
  33225. Friend , please recommend a good calculas book
    2
  33226. thanks
    2
  33227. Why is Apostol not in the list? 🤔
    2
  33228. Isn't this obvious?
    2
  33229. thank you ❤
    2
  33230. my question too
    2
  33231. Nice more group theory! I like it!
    2
  33232. I don't like this type of books . it covers too many topics and subjects but not goes deeply in these subjects . I prefer to get a book in each subject (calc3 , ODE , PDE , Linear algebra , Complex analysis , numerical analysis, probability ) instead of the engineering math books like Kreiyzig .
    2
  33233. How useful is this book in AP Calculus BC? I mean, I know it's missing series, which is the added unit in BC, but are the problems similar in difficulty compared to AP questions?
    2
  33234. Nice video study life 💗💗💗💗 students all love you 💓💓💓💓.......
    2
  33235. Just like a real math prof., Reading the question and directly giving the answer without thinking
    2
  33236. Yes, the ordinary (O-levels) were taken by students at 16, then they would do advanced level (A-level) at 18 if they picked the subject. I think it was typical for the majority UK students in the 50’s and 60’s to leave school at 16 and pursue apprenticeships or work. A-level students would often go to a technical college or university after 18. Now most students have to stay in education till 18 and most now go into university.
    2
  33237. Are you on instagram??
    2
  33238. Is this video a re upload ? I could swear I watched it before
    2
  33239. Really grateful that this video exists....it has saved me from dooming😅😅
    2
  33240. It's a great book. I am about 40% through and It is very enjoyable. However, some of the chapters are a little less relevant and interesting, for example when he talks about retirement. But, it's definitely worth a read alongside Meditations by Marcus Aurelius.
    2
  33241. I'm confused, why wasn't i subscribed to your channel already??
    2
  33242. I was thinking that too lol
    2
  33243. Entiende español? :)
    2
  33244.  @TheMathSorcerer  grácias, por hacer este tipo de videos, soy estudiante de matemática pura en Perú, no sé si habrá escuchado de la UNMSM, bueno estudió ahí, mi sueño es ir al extranjero y estudiar una maestría o quizá un doctorado , ya que en mi país la ciencia no es primordial, espero poder lograrlo, además desde este año he empezado a disfrutar de la matemática como nunca antes, eso me agrada en demasía.
    2
  33245. I really enjoy math. Have always liked it. My career has brought me into programming, which I’ve been doing for decades. Still, I would love to get deeper into math, even if self-studying only. What always prevents me is not knowing where to start. Should I start with discrete math, or calculus, or algebra? I never found a good “curriculum” to follow. Any tips?
    2
  33246. He recently made a video on learning maths start to finish that goes into depth on this.
    2
  33247. Interesting. So, do we just follow the chapters? Cover to cover?
    2
  33248.  @gabevargas28  awesome. Great tips, thanks
    2
  33249.  @FelipeBalbi  No problem! Good luck in your learning!
    2
  33250. 5 syllable words sound nice... like topological, mathematical, & ticonderoga :) Maybe nobody needed the extra credit & didn't want to be bothered with this problem! (Just kidding)
    2
  33251. yep
    2
  33252. I like your series where you cover a bunch of different math books, even though I don't study most of the subjects in the books. Can do a differential geometry book at some point? That would be kind of cool.
    2
  33253.  @TheMathSorcerer  Thank you man, that would be awesome! Differential geometry is almost never talked about on youtube, you know, it's all just about calculus and algebra. I am very fascinated with it and would like to study it in depth one day.
    2
  33254. I have just figured out this exactly today.
    2
  33255. I'm both glad and sad this isn't my professor 😭🤣
    2
  33256. dude kinda looks like jeff bezos but with hair 😂 thanks for the advice tho 👍
    2
  33257. I like the car wash :D
    2
  33258. I started to like math this year having calculus 1 classes
    2
  33259. WOW !!!!!!
    2
  33260. This was so helpful thank you so much
    2
  33261. Is there good book on probability measure theory
    2
  33262. In my opinion Probability and Measure by Billingsley and Kolmogorov and Fomins measure theory are really good.
    2
  33263. I don't think it is actually necessary to have a role model. I think that leads to unnecessary and unhealthy comparisons. Be aware of what others are doing, have accomplished, etc. but do not model yourself after someone else. Pick and choose the elements from other people's lives that you would like to have, and make your own. Everyone has advice for you, but none of it is totally correct. Like most things in life, dedication will get you farthest, and dedication comes from one's own dreams, not those of others.
    2
  33264. Thanks a lot!
    2
  33265. you are just Fantastic !
    2
  33266. Lamb, the wolf's calculus book.
    2
  33267. Thanx for posting. I enjoyed these little tricks solving infinite series in undergrad.
    2
  33268. I'm three minutes into this video and it hasn't started yet.
    2
  33269. Thnx sir for good explanation 🥰❤️
    2
  33270. Yooo this was awesome! 🔥
    2
  33271. It's like 30 dollars for the latest edition.
    2
  33272. Pre-calc is just college algebra with trig concepts, some community colleges just include the introductory trig (basically what you need to know) in with college algebra versus having a separate “pre-calc” course. I think it’s good because you don’t need to learn a treatise on plane trigonometry to pass calc 1. Now calc 2 on the other hand *cough*, *cough*…
    2
  33273. Teaching myself college algebra with a tutor from basically scratch. Going pretty well so far when I actually take the time to study and learn. Thanks for the vid!
    2
  33274. Anyone else developing quite a bit of contempt for the mechanical, blind, mind-numbingly boring way that we teach math students to crank out one unmotivated theorem after another? It's incredibly depressing. Where's the philosophy? Where's the meaning?
    2
  33275. This is the book I used in my abstract 1 class, I loved it so much!
    2
  33276. Thank you sir. 🤗
    2
  33277. I still can’t even do long division. As soon as someone throws a number at me, all things come to a halt. I wish I could learn math!
    2
  33278.  @TheMathSorcerer  I could totally listen to math people talk math all day long! It’s amazing to see that it just makes sense for some people. Like diesel mechanics. I don’t understand it but wow, I could watch them all day!
    2
  33279. so which book is better for beginners, " Discrete Mathematics and it's Applications and it was written by Susanna Epp." or "Discrete Mathematical Structures, written by Kolman, Busby, and Ross."?
    2
  33280. Best calculus books are the book by James Stewart and book by Thomas
    2
  33281. This guy is literally Jeff Bezos with hair
    2
  33282. You should talk about computer science in one video i think. It would be cool.
    2
  33283. And a Merry Christmas to you and your loves ones 🙏🏼🙏🏼🙏🏼
    2
  33284. Muy rápido oe gringo explica bien pe
    2
  33285. I would like to have this book but it doesn't seem like i can buy it. Will there be a digital version?
    2
  33286. incredible list, life advice right here. If I may add, workout or at least take daily 30 minute walks, in the day time if possible, it's like a different part of my brain turns on when I do that stay hydrated, consider adding electrolytes to your first glass of water, supplement fish oil, B12, Magnesium, creatine, NAD or nicotinamide for older people, take your pick of anxiety reducing activities or plants replace coffee with MCT oil, does wonders for alertness and focus, get the optimum dose of dietary fiber All these things done together will give a great feeling as well.
    2
  33287. helpful!
    2
  33288. This is gonna blow up
    2
  33289. 🤦🏾‍♀️🙇🏾‍♀️
    2
  33290. This was the best! Lol and love the shirt btw
    2
  33291. damn quick maths
    2
  33292. Do u have any real analysis workbook ? Or tips on how to study ? I read many books on real analysis like keneth ross, or stephen abortt but i don't understand any of them. So close to failing my real analysis
    2
  33293. I was wondering if you ever looked at Concrete Mathematics by Donald Knuth and what you thought of it in terms where it would belong in terms of a student's mathematical progression?
    2
  33294. If your self confidence doesn't get a little bit damaged in graduate school, you're doing it wrong.
    2
  33295. Get a hair cut sir....
    2
  33296. The cool teacher didn’t know he was teaching the gumbals
    2
  33297. Thnkuu sir ☺
    2
  33298. Thankyou you sir
    2
  33299. I'm as old as this book! I think I had this for "senior" math in high school back in the stone age 🤓
    2
  33300. Truly a T H I C C book.
    2
  33301. are you joking? clearly your one of those calculus people! choices, how about FOOD! what will i eat! thats were im thinking! its difficult to learn when your trying to survive! the great problem is that people who understand dont remember what its like to be stupid! and they explain it like their talking to one of their COMRADES! no i dont belong to the yacht club. how do you open a door! explain that! its computer programing! and thats the way you need to think. how do i explain this to an alien from anther world! the sources are compromised threw personal problems. and you have to understand the limitations of self study which are now closing with the invention of the computer and TV! because their are no words to describe what your seeing. as a police officer i could not write a report because their were no words to describe what i was seeing.
    2
  33302. Awesome lecture!
    2
  33303. Thanks so much. This was extremely helpful.
    2
  33304. I learned programming with C# and to be honest that is still my favorite programming language. I am learning now Java but that is still does not sexy enough for me compared to C#...
    2
  33305. The vibe is killing men,,,,I wish lecs wd be like this
    2
  33306. now this is a speedrun bless up brother
    2
  33307.  @TheMathSorcerer  Are they also getting the same benefits?
    2
  33308. I am taking the mathematic analysis for the first year of engineering and sometimes as you said not only practice, but it also needs experience or time to understand. I think if we try to explain what we know to others, it would help as a looooooooooot. I did not have a class for three days this week and I was studying math. The way that I see math which is Why this happened and why that happened really made the math more interesting for me. In high school, we learned that derivative is the slope. we were given the formula, but we never proved it. Now by practicing, thinking, putting time into it, it is really much more interesting and awesome. Thanks for your great videos. They really help me continue studying math. Sometimes when I don't know what to do, maybe I come to your channel and watch some motivational(math) videos. Hahaha. Best.
    2
  33309. My fear is looking stupid. I did a grade 7 math competition question and I got the wrong solution.
    2
  33310. Balance is difficult
    2
  33311. Very helpful. Could you tell me what camera you used to record this video?
    2
  33312. What was your native language?
    2
  33313. Yeah uh... I'll have what he's having
    2
  33314. this dude is Jeff Bezzos if he hadn´t started Amazon and lost hair lol
    2
  33315. Thank you good sir. May the force be with you
    2
  33316. looks good, this is high school material, isnt it?
    2
  33317. Thank you!
    2
  33318. ☝️ me too , expert in silly mistakes
    2
  33319. I don't know why I'm watching a video for information that I am too lazy to apply in real life.
    2
  33320. Really helpful
    2
  33321. really liked this video, very motivational. thank you ❤
    2
  33322. Thank you! I love math and wanted to get further in it, but I wasn't sure where to get going on it.
    2
  33323. The most rigorous books in analysis
    2
  33324. pro tips: watch this honorable math guy at 1.5x speed
    2
  33325. A video that i needed thanks man :")
    2
  33326. Thanks for your brotherly advice ; )
    2
  33327. This is a must for measure and functional analysis
    2
  33328. And that's the TRUTH! 👍👊
    2
  33329. Thank you so much
    2
  33330. In an abstract sort of way, this video is applicable and helpful to any endeavour in life
    2
  33331. Plz upload video for D3 group in algebra-1.
    2
  33332. The links aren’t the exact book, it’s by Frederick Ungar Co. I’m also in it for the beautiful classic hardcover. As far as I know its Modern Algebra under their title not sure why it had this edition
    2
  33333. Awesome video, funny and easy understandable, thank you :-)
    2
  33334. i like it, thats sum gud advice, understanding is not a race, but once you do, you have a new tool.
    2
  33335. please come teach at San Jose State in California. I wish you were my professor the one I have now. Just wants everyone to drop the class. He doesn't go over any pass calculus stuff. your really helping me pass
    2
  33336. Perfect
    2
  33337. Wow.
    2
  33338. Love your Channel bro
    2
  33339. Please google Ed China
    2
  33340. There is a sequel to How to Prove it. Don't know the title, but it does not play on the title from Polya's book.
    2
  33341. Can you add a snippet of flipping through the pages of the book? I just love to see mathematics all over the page. Thanks.
    2
  33342. I love you!
    2
  33343. what does \ mean? difference?
    2
  33344. lol I wish my professors gave us re-take exams. In engineering they just let you fail.
    2
  33345. My routine, Jujitsu + karate + teaching. Nice feeling.
    2
  33346. hac oans
    2
  33347.  @davidsabbagh6815  And/or a surplus of administrators
    2
  33348. you use a robot, to rotate the camera?
    2
  33349. You had me at : Don’t….
    2
  33350. Esta padrísima tu clase, muy bien!! Pero creo que después del factor integrante, cuando se debe de integrar por partes te comiste un signo menos. No estoy muy seguro pero si alguien quiere checarlo adelante.
    2
  33351. Congrats on 500k! You've inspired me to pick up a math book (Barron's Algebra 2) and start self-studying. It's my 2023 New Year's resolution to become math-savvy again (graduated with a BS in Econ back in 2009 so haven't applied Calculus in a looong time). Thank you for your fantastic channel, and for helping me rekindle an old flame.
    2
  33352. Thanks - these are really great videos!
    2
  33353. Thanks for the video. I think I'm ready to get back on the road again to get a math degree whish me luck my fellow mathematicians!
    2
  33354. Hello, Did you ever make a video with decimals??? Please and thank you!!! You have no idea how much I mention your channel to the students I tutor at my community college!!!! We are all very grateful and appreciate all your explainations!!! THANK YOU VERY MUCH!!!
    2
  33355. I lost the try not to blink challenge
    2
  33356. Simple: Modern teachers are lazy.
    2
  33357. perhaps one day , i will tell my grandkids all about you
    2
  33358. Can u make a video on CSIR NET MATHEMATICS
    2
  33359. i prefer ebook than hardcopy.
    2
  33360. Confirmation. Thanks!
    2
  33361. m1 & m2 being not = 0 only prevent undefined answers, but wouldn't yield an irrational number if they were 0. so this restriction locks down the possibility of continuance rather than locking out irrationality. Still new at this, loving it so far.
    2
  33362.  @TheMathSorcerer  yes please..very nice suggestion....make your minds prepared for future ..will wait for this 🙏
    2
  33363. This guy is trash.... Jk. Nice vid!
    2
  33364. For this; You are the bridge between Georg Friedrich Bernhard Riemann and us.
    2
  33365. Does this video count as a video on math
    2
  33366. Can anyone give the order in which these books to be studied ? Please 🥺
    2
  33367. .
    2
  33368. Seems like a good life :)
    2
  33369. Wow, thank you very much!
    2
  33370. Great advice! Determination, discipline and speed of work are all important ingredients of success. My Achille's Heel was procrastination... because I was always searching for perfection in all Math work... and it was impossible for me to attain.
    2
  33371. First!
    2
  33372. Great
    2
  33373. thank you
    2
  33374. I still find it easier using matrices
    2
  33375. I am struggling with measure theory. But not going to give up. Either the theory will break me or I will break it.
    2
  33376.  @TheMathSorcerer  Hello could you please make a review on Introduction to topology and modern analysis by G. Simmons?
    2
  33377. tiene este video en español?
    2
  33378. "Prove your answer is correct without calculator estimates" Well that's great and all but the question you gave us literally doesn't work for any of the possible ways of solving the problem you've explained to us outside of estimating with a calculator.
    2
  33379. Really appreciate your guidance. Picked up College Algebra by Blitzer. Gold.
    2
  33380. The Calculus cIasses I attended at Ohio University used Protter & Morrey "College Calculus with Analytic Geometry.
    2
  33381.  @TheMathSorcerer  I have a question. Can you make a video about your math career? When did you know that you are into math? Have you always been good? I'm currently a math student in second semester and I'm struggling so hard
    2
  33382. I'm an auditory learner so I hate online classes My school uses mymathlab which I hate >.>
    2
  33383. Where is the limit definition?
    2
  33384. I completely understand the math during lectures and also easily done at home but after some days or week i can't do the same questions.Can you tell me why This happen
    2
  33385. 7:26 His professor is a guy. He wrote "he".
    2
  33386. Had you written 'The Super Thicc Book'....... All the Anime fans would've gathered here 😂
    2
  33387. Believe that course involves cryptography, in which two students work together (assigned by the professor) and there is a lot of proofs. Taking discrete math will certainly help a student if that student plans to take Number Theory, but at the undergrad level or any first course in Number Theory, a student could manage it without any prerequisite, just need mathematical maturity, though it seems they assume you take Linear Algebra (since I have seen the instructor doing matrix operation as if students should have known it)
    2
  33388. This is amazing I have been looking for this exact kind of thing for a while now! As I can’t afford college and even if I could I suck and traditional school
    2
  33389. I can't sleep if I don't spend significant amount of time doing maths each day especially analysis.
    2
  33390. I wonder long would it take to go from the pre-algebra though this to the end
    2
  33391. It helped thank you
    2
  33392. Holy shit, I love you.
    2
  33393. oh u get buff from the statue? ability: calculus X2 for 5:00 minutes
    2
  33394. First one
    2
  33395. Please make a video on the skills should develop Math students during college days...It's request
    2
  33396. i love books too cuz they actually have some pre-set structure
    2
  33397. Thanks for the content. However, when it comes to abstract maths I always prefer the books that instead of stating a theorem and providing a proof right away, try to demonstrate the motivation behind the theorom and its proof. So I would prefer Tom Apostol's Calculus over the calculus books mentioned and Robert Strichartz' The Way of Analysis over Baby Rudin.
    2
  33398. Topology is being used more and more in physics and I have no idea how lol Can you recommend a topology book with physics applications (if it exists)?
    2
  33399. Love to Anna 💕
    2
  33400. That was a wonderful sniff!
    2
  33401. Greetings Mr.Professor, Good Health in Every Sense with Correct learning approach compliments choice of study to improve in All aspects. With regards, RanjithJoseph (R.J)
    2
  33402. cool
    2
  33403. "bibliotaph" (noun): one that hides away or hoards books. I don't have a problem collecting books either.
    2
  33404. what happens when h≠0?
    2
  33405. i am very sorry for this stupid question i wasnt in the right mind when i commented haha thank you for your time replying tho!
    2
  33406. Look at that Stewart Hardcover book, in the spanish version all pages are in blue an white (analogous to black and white) :'(
    2
  33407. I was with you when you had around 40K subs. I always use to say you're the greatest sorcerer and you still absolutely are!!!!!!!
    2
  33408. thank you king
    2
  33409. Please make a video on non teaching jobs especially for math undergrads or masters.
    2
  33410. Nice explaining.
    2
  33411. Hello, I was going to buy it, but it is not 8 dollars in your link, but 4x more. Should I wait?
    2
  33412. Epsilon is in my dreams
    2
  33413. I just tanked my Calc 2 exam, so hopefully 3 isn’t going to be much harder than that
    2
  33414. This reminds me of "The Wonder Book of Geometry" by David Acheson. Oscar Fernandez's book looks similar to that but about calculus instead of geomtry.
    2
  33415. Hello, unrelated note here but it seems like your website is down. I can't access it.
    2
  33416. You are the best !!!
    2
  33417. Thank you so much for the explanation, really helped me.
    2
  33418. As for the method to find the sign of the quadratic (x-1)(x+7), we prefer to find the sign of each individual line (x-1 and x+7) and cross check them. In easy, 2nd degree quadratics since we know the general shape of such function we can also immediately say that the sign of coefficient a is the sign of the quadratic outside of the roots, with the opposite being the sign inside the roots. We are told to try test points if it's too difficult to determine the sign but the test is usually simple enough to be done in your head, as it doesn't look very scientific to write "yes!!!" or "no!!!" next to a wrong point test. We either write "impossible", "denied" (if possible) and "accepted"
    2
  33419. Textbook whiffs - yea baby!!
    2
  33420. I would have liked to seen more details in the programmed Calculus book ! 😊 show more inside page and go over some of the text! 🎉
    2
  33421. Self esteem is so importent with some faith and motivation
    2
  33422. I have Leithold's book on me. Working on it rn.
    2
  33423. I’m absorbing all this Knowledge just by opening the comment section
    2
  33424. The best books. Hands down.
    2
  33425. Man, for a hyper developed,capitalistic society like USA some of these books prices on Amazon are robbery.
    2
  33426. You are my role model
    2
  33427. Thank you. I studied delta-epsilon proofs for the first time today. The textbook keeps changing references for 0 < x < delta as well as the function with epsilon. Is there a book which explains this well?
    2
  33428. ty so much teacher
    2
  33429. Thanks.
    2
  33430. Gonna dive in into the lore of maths after this video
    2
  33431. what if they do not have the same base?
    2
  33432. thank you sir!!
    2
  33433. I really enjoy your videos
    2
  33434. Second!
    2
  33435. Trouble is, the title could be the same for any number of authors on this topic. So even if you remembered that, it's the author(s) in this case that is important.
    2
  33436. You're mentioning something there that i have noticed but never realised. You helped me point out something i didn't realise before, thank you very much
    2
  33437. Congratulations on your sponsorship
    2
  33438. anyone here a physics professor i need some help.Classical mechanics
    2
  33439. Just ordered the book. Please considered a kindle version, would love to have everywhere i go.
    2
  33440. ngl i used to hate math and physics back then even though it was less time intensive compared to hist or English,but now all I can think abt is how nice doing calc was
    2
  33441. First comment ❤❤
    2
  33442. Lang's basic mathematics book is also interesting
    2
  33443. Relatable to so many aspects of life.
    2
  33444. Bro this actually helped me get A's, i thank you so much for this
    2
  33445. Heck yeah Math Sorcerer, 225 is a respectable bench 😎
    2
  33446. first homies!
    2
  33447. from the price we can deduce its rarity
    2
  33448. based on the amount of problems you showed per chapters, i bet the solutions would make the book twice as long. It would kinda make the book worse, its bigger, heavier, more intimidating, all for something which may not be that worth it.
    2
  33449. Thankyou Sir
    2
  33450. Thank you
    2
  33451. I think it's wiser to cease to watching many videos on Social media or YouTube and spend time solving maths.
    2
  33452. Very much useful video Thanks a lot brother
    2
  33453. THE ABUSIVE ONE IS SO ACCURATE OMG
    2
  33454. What are the odds of someone getting the name good enough I love the name
    2
  33455. If you extend n to all real numbers: e^(nπi)*Gamma(n+1)/x^(n+1) This is called fractional calculus.
    2
  33456. This is an amazing book
    2
  33457. I'm a graduate student in mathematics. Why did this get recommended to me, and why did I watch it all the way through?
    2
  33458. Hey Magi, what if the cycles have exponents?
    2
  33459. I’m 73 years old and I am self teaching trigonometry
    2
  33460. Math + Comedy = Matomedy
    2
  33461. JEFF BEZOS????
    2
  33462. Sir, I watched this video I am a 10 year old boy and I want to tell you I want to do home schooling and I want to exceed in math and I never been to school. So, should I start my by studying with all your book in this video including discrete mathematics and all that stuff or will suggest something different. Please help me 🙏.
    2
  33463.  @TheMathSorcerer  Sir can I learn according to your route start with discrete mathematics, is there any solid reason to told me to start with algebra.
    2
  33464. If only you professed at my university :(
    2
  33465. Too much easy
    2
  33466. I love this :D
    2
  33467. how do you find the integral of fourth root of x raised to 4?
    2
  33468.  @TheMathSorcerer  i get it now, thank you very much, sir! ^^
    2
  33469. Do you get to teach if you were just a Math major and not a Math education one?
    2
  33470. Such good content! 👏
    2
  33471. excellent job 👏
    2
  33472. snort... snicker...snicker. You silly.
    2
  33473. I'm going to use this book to teach Calculus. Looking forward to it
    2
  33474. The hard cover is dying. Less profitable. Big book wants to squeeze every penny
    2
  33475. But PHD's are difficult right ?
    2
  33476. Thank you
    2
  33477. Oh wow, I actually just purchased this book before having seen this video! Neat!
    2
  33478. Thanks a loadzzzz......
    2
  33479. Nice video, thank you!!
    2
  33480. Its very usefull , thank you😁
    2
  33481. What is your opinion on “a transition to advanced mathematics” by smith, eggen, and st Andre?
    2
  33482. I wish there had been Internet and YouTube when I was in high school and college. I wasn't very good at math....it would have been a big help.
    2
  33483. Very helpful .. Thank you!!!
    2
  33484.  @TheMathSorcerer  what the .........it wasn't cute that he said
    2
  33485. JUST SPEED! YOU NEED SPEED! I NEED SPEED HEE NEED SPEED!
    2
  33486. Do Calculus problem involving proofs
    2
  33487. You are awesome, dude!
    2
  33488. Any suggestion for commutative algebra books? I've read commutative algebra by atiyah-macdonald but It's quite hard to read
    2
  33489. ooof
    2
  33490. I want this teacher
    2
  33491. Tq sir
    2
  33492. Thank you! This is a really good video, especially since it hits a topic I was always wondering about. Thank you very much again.
    2
  33493.  @TheMathSorcerer  I really must thank you for a lot. I don't think a youtube comment will do enough, but I think that it is a start.
    2
  33494. Great interview
    2
  33495. I have a pristine copy with its dust jacket!
    2
  33496. Awesome !
    2
  33497. It's better for a first course than Hungerford.
    2
  33498. Thank you very much for your courage and motivation!
    2
  33499. Thank you
    2
  33500. Thank you! Really helpful! We went over this a couple days ago and you shook off the cob webs haha
    2
  33501. Great advice......Everyone wants to go to heaven, but nobody wants to die to get there 😊🙏🏾❤️
    2
  33502. Signed copy! 😍
    2
  33503. I could have used this concept a half century ago.
    2
  33504. hey we use it in india!!
    2
  33505. Hello sir! Which book are you following? DIFFERENTIAL EQUATIONS with Boundary-Value Problems ?
    2
  33506. Found a similar question, i got the answer from there, youre using Zill <3 Thanks !
    2
  33507. Thank you so much.
    2
  33508. Please do a real analysis playlist
    2
  33509. tq
    2
  33510. What book can you recommend if you want to study calculus in a rigorous epsilon delta approach?.thanks
    2
  33511.  @TheMathSorcerer  thanks
    2
  33512.  @TheMathSorcerer  thanks.
    2
  33513. The downside of self study is that you waste weeks being stuck on a problem with no help in sight. What do you guys do when you're stuck on a question that no one else, but you ask? You can't reply on YouTube because no one else bother to ask, what do you do?
    2
  33514. In France they used to teach us set theory in kindergarden
    2
  33515. I am currently a junior in highschool taking honors pre-calculus. I have a C currently felt pretty down about it, most other years I have had an A (a lot of stuff going on this year). I am hoping to become a Physicist and maybe do some stuff with math. This video helped inspire some confidence to start working harder because I really like math. Thank you :)
    2
  33516. I like your voice HAHA
    2
  33517. Algunos dirán que son de Ecuador, otros diremos que somos de Colombia, saludos. Muchas gracias.
    2
  33518. thank you very much<3
    2
  33519. Cool video! Another important trait, that I believe professional research mathematicians have, is that they collaborate with other mathematicians.
    2
  33520. you can tell it was written by Electrical engineers if the point of the book is to study for PE
    2
  33521. Also a very advanced statistics book is "Optimal Statistical Decisions" by Morris H. DeGroot". Very comprehensive, deep, and authoritative.
    2
  33522. All I remember is asking to my self: is that allowed, math is a lie
    2
  33523. 'Its a conceptual move not an algebraic move.' Live by these words!
    2
  33524. My math professors used to curve 10sqrt(score) when the scores came back whack
    2
  33525. hahaha
    2
  33526. im using this for introduction to group theory atm. is it really graduate level?
    2
  33527. It’s good to have worked for a few years before college, to find out what the real world is like, then you’d be able to appreciate it more, and be better able to avoid the noise and nonsense that seems to consume so much of college life these days.
    2
  33528. Clicked for the face. Ain't gonna lie
    2
  33529. Never in the history of human literature have so few pages made so many look so stupid.
    2
  33530. I failed 2 math classes.
    2
  33531. TANKS ! :DDDDDDDDD
    2
  33532. That "OOVVEERRRR" Blew my ear canals - Done with the earphones for today! 😆
    2
  33533. (new sub btw)
    2
  33534. Very easy to comprehend! Nice style! 😀
    2
  33535. Proof: just 10% done. Me: "yeah, i understand this proof. It definetely shows the problem completely." Other proof: finished. Me: so when will we do the other direction?
    2
  33536.  @TheMathSorcerer  Thanks
    2
  33537. Hey there fellow spell slinger, awesome to see you represent.
    2
  33538. There is no end. Godel proved that it is infinitely extensible!
    2
  33539. On this video, I just wanted to say how awesome todays background is professor!
    2
  33540. Stewart was my book at University of Minnesota
    2
  33541. Yes you have to push the "i believe button" and just move on even if it drives you crazy why it's not explained well.
    2
  33542. Thanks! This helped clear some things up!
    2
  33543. Sir Can you tell topic to study before complex analysis or topic wise prerequisite for COMPLEX ANALYSIS.
    2
  33544. Thank you!
    2
  33545. Would you be willing to make some videos about some of the more obscure integration techniques found in this book?
    2
  33546. Escribo en español porque dijiste que entiendes el idioma. Si prefieres que escriba en inglés puedo hacerlo. ¿Qué libro sigues en las clases? ¿Larson? No encuentro la lista de reproducción de las clases de cálculo 2, sólo encuentro las de cálculo 1 y 3. ¿Existe? Gracias por adelantado.
    2
  33547. The title didn't trigger anything, but the table of contents for A First Course in Probability brought me back to my college days. I have the 8th edition, but I think we were actually using the 9th for the course.
    2
  33548. Thanks for your Channel, you're really impacting our lives and studies. Btw, have you ever tought about creating a discord server? There's a lot of cool people in your comments, that can build a nice online math community.
    2
  33549. Can you pls make a video on studying by reading books or articles vs studying by watching videos (not necessarily yt videos, any educational videos) and what are the pros , cons of each one and which way would you personally recommend?
    2
  33550. Hiiii thank you
    2
  33551. Great video! Thank you :)
    2
  33552. Why does an electrical engineering book has a Ferrari Testarossa on the cover🤔
    2
  33553. When did you make the decision to pursue mathematics for a living?
    2
  33554. thank you! may you have a nice day and be safe. Us, first year collegemen are thankfull to you ^^
    2
  33555. Thank you!
    2
  33556. love this books
    2
  33557. hello math sorcerer 🧙‍♀️
    2
  33558.  @MSS864  ohhh yes this makes sense! the integral starts from zero (*not* -∞), so even if the sinusoid peaks and troughs cancel, it matters where we begin the cancellation, leading to no defined unique solution i imagine if we look at the inflection point at cos(π/2), all the area spanned by the peaks and troughs right to that cancels, which left us with a remainder of 1, getting no unique answer
    2
  33559.  @MSS864  reminds me of the problem of how summing an infinite series matters
    2
  33560. This is true for me. Thanks for this.
    2
  33561. I love love love math with all my heart.
    2
  33562. Dover publishes his work on Hydrodynamics.
    2
  33563. Why use pencil ?
    2
  33564. Math books <3
    2
  33565. I'm watching this on my phone, getting distracted while I should be studying, while eating a snack I just prepared.
    2
  33566. "Math Tank here, been busy counting reps. I actually lost track, so I guess it's an irrational number of reps now. The cardinality of my continuum is continuous lifting every day, that's what. Get big fast like the tree function. Peace!"
    2
  33567. Really Really good advice here, beyond maths. Thanks.
    2
  33568. And then when we derivative y’’ so we chose n=2
    2
  33569. Thanks 😊
    2
  33570. It’s very excellent video for students 👌💪🙏
    2
  33571. Food for thought!
    2
  33572. Thank you so much😭
    2
  33573. Nice
    2
  33574. Saved My LIFE!!!
    2
  33575. Where would you recommend getting used textbooks? I've been struggling to find sites with cheap prices. Thank you !!
    2
  33576. Just a tip. You can find free pdfs for many textbooks.
    2
  33577. Great
    2
  33578. Hey here. But when thinking about being confident, I think I'm always worring about being arrogant, which is awful in my opinion. I cannot find a balance. How can one get through this anyway? Anyway thank you for the video!
    2
  33579. Confidence is believing you can do something while also acknowledging that it's going to be challenging for you. If you can tell another person that they can accomplish this too, then you're not being arrogant.
    2
  33580.  @user-pb4hh1jk3f  well said and have a nice day!
    2
  33581. Highly important tips: first, learn to love being stuck and how to effectively seek answers. I don't just mean learn to accept being stuck; learn to embrace it. Second, do your best to build a network of people who are willing to speak with and help you. Use Discord, email, social media, Stack Exchange, etc. This is coming from a pure math PhD who almost exactly a year ago embarked on a likely 6+ year journey to learn the proof to Fermat's Last Theorem completely self taught.
    2
  33582. I agree with you as I’ve experienced it - experience.
    2
  33583. I still have my copy from freshman calculus at MIT, 1976.
    2
  33584. Can you tell me the answer for my question please☺️😢
    2
  33585. Tests are the best. Thank you sir for this thank you
    2
  33586. Where did you pick up your Descrete Mathmatics book? The only ones I am seeing on the web are nearly 200 dollars. Thanks
    2
  33587. D:
    2
  33588. God bless you.
    2
  33589. Absolutely ossum and thanks also
    2
  33590. hmm.. errors I made: isolate myself: check, get discouraged: check, fall behind: check. hehe :)
    2
  33591. its funny how when I started to discover your channel, things in my mind was like "well I think I need to releard math" but now I mainly study Deutsch in my free time and an advice like this was really what I need right now, thank you.
    2
  33592. Hi math sorcerer talk more about gre, start tutorial on Gre, tell us how to study for GRE
    2
  33593. Excellent video sir.
    2
  33594. Calculus MF Master!
    2
  33595. Does it matter which edition of the books you get? I see the first book is the 2nd Ed. in the video but they are up to the 5th Ed. on Amazon.
    2
  33596. could u review a book of maths for Dummies(anything try,al, calc)?
    2
  33597. FIRSTTTTT , THANK YOUUUU !!! ❤
    2
  33598. Long time no see professor glad to see you again! ❤️
    2
  33599. Is it a good idea to do the exercises on a whiteboard? After I check the answers, I can erase them then do the next ones on the same whiteboard. This way, I don't need to store a lot of paper. LOL! Currently, I am using two small size whiteboards. 😂
    2
  33600. Is it a good idea to study Spivak's calculus after going through Thomas calculus and a proof writing book? I'm a high school freshman and want to get extremely good at writing proofs.
    2
  33601. Calculus 7 O.o
    2
  33602. my hero!!! so epic!!!! thank you math sorcerer!!!! you deserve the 16000 subscribers you have. best math wish xoxoxo
    2
  33603. Thanks Sorcerer for your advice.
    2
  33604. I worked as an adjunct prof. for a 6few years. The job was very rewarding but yep, the pay was not all that great. The reason I stayed on as long as I did was that I enjoyed the teaching.
    2
  33605. I'm watching it as I'm having my breakfast what a great start of the day!
    2
  33606. I love your interesting personality and look, and your insight
    2
  33607. omg I always feel this way, so inadequate and drowning in self doubt whenever I dont understand everything about a subject. Thank you for this video, this makes me so happy. Thank you.
    2
  33608. Same bruh!
    2
  33609. MIR was an excellent publisher from the USSR
    2
  33610. i know this i kinda random but tommorow im going to attend my first calculus class, im so excited to prepare for it i even started learning early, they're going to start with relations and functions so i solved like 112 problems on that topic out of sheer excitement .(apologies for the bad english , i just didnt practice it well during the lockdown)
    2
  33611. OMG! Haven't seen that in YEARS! Brings back great memories of my early programming days. Thanks for this!
    2
  33612. Bro is like moon😂, reflects all the light
    2
  33613. this mans does not know his derivatives lol
    2
  33614. Can upload more videos on integration
    2
  33615. Your videos are so encouraging, thank you.
    2
  33616. There are two books that is about FLT. The first one is about the tools. The second one is the proof.
    2
  33617. Just reading that title made my brain hurt...
    2
  33618. Erasing is too much work. Scratching stuff out is faster and has a lower page ripping risk.
    2
  33619. Is the eighth edition of the First course in abstract algebra ok?
    2
  33620. I am taking homological algebra in order to do algebraic topology next semester
    2
  33621. I'm....early 👁️👄👁️
    2
  33622. Thanks!
    2
  33623. Wish I could know when it's time to give up so I don't give up before finding out how to solve the problem or give up too late
    2
  33624. Can I have the calculus book. Hehe.. thank you
    2
  33625. He looks like isaac newton 🧐
    2
  33626. I can't believe they did surgery on a grape!
    2
  33627. That's me getting 9.8 in Calculus 1 after failing the first time
    2
  33628.  @TheMathSorcerer  Well, I will do a better job searching for it then. And THANKS.
    2
  33629. Great 👍🏻
    2
  33630. Glad I got it right in my head!! Thank you lots, MS!!!! :) :) :) :)
    2
  33631. What would be your recommened pre requisite material for numerical analysis?
    2
  33632. 5:22 yes it is, well poisson is the guy's name but in french it also means fish
    2
  33633. Because they are smart!
    2
  33634. 7 to 730 ohh am what the heck😂😂
    2
  33635.  @TheMathSorcerer  actually I stay in hostel n our school starts at 6am lol😂😂
    2
  33636. You really are the mvp in math
    2
  33637. Amazing.... 👍👍👍👍👍👍
    2
  33638. You are clearly not talking about English professors who would not "BE LIKE" anything...wtf
    2
  33639. So long story short something (in this case 0/0) that we call undefined is called undefined because we can't define it?... Got it
    2
  33640. Another smart math guy I know uses a horse book end. You can buy one just like this. The link will be in the description below. Seriously thought love you and your channel and all the incredible work you’ve just poured upon all us neophytes.
    2
  33641. Jeff Bezoz with hairs on his face
    2
  33642. Thank youuuuu soooo much👌👌
    2
  33643. Just commenting here to save this thread.
    2
  33644. Thank you so much, this came at the perfect moment!
    2
  33645. Ordering it from the school library book loan program. Thanks!! Cant wait. I’m in calc 3 but would love to use this for calc 1&2 review and to further my understanding etc. and get a more concept based approach etc.
    2
  33646. I agree, although I'd say Self Study is the Key to Success for any subject including the Arts. Nowadays, studying for exams and doing homework has taken the form of "Rote Learning" which isn't learning at all. For example in Physics on a topic like Maxwell's Equations, it is quite possible to pass an exam with good grades by memorizing them and solving a few numericals. Understanding what these equations say is a different matter entirely. The same applies to Art. Imagine reading a poem like Daffodils or listening to a Beethoven Symphony just because some one has ordered you to do so. I suppose without free will any of the above activities becomes meaningless.
    2
  33647. #JustdoIt
    2
  33648. Thank you. this is a problem I've suffered.
    2
  33649. It's called sridhars formula back I'm your high school 🇮🇳
    2
  33650. how come u dont rationalize the denominator now
    2
  33651. I love your appreciation for intelligence
    2
  33652. I dont think natural talent is a big part of it, mainly it is parenting and teaching, alot of the time in maths if you see someone who learns maths really quick they have see similar things before. I feel like there is a butterfly effect, if on your first day of school you answer a question right you feel confident to ask/answer questions more will feel rewarded for learning, this reward makes you more eager to learn and this can spiral into wildly different outcomes for similar children. This is not just in maths but all areas of academia. Idk if that made sense
    2
  33653. EXCELLENT👍 THANKS A LOT🌹 🙏🙏🙏🙏🙏🙏🙏
    2
  33654. Yes.
    2
  33655. I'm a math major but I love CS but don't have any formal education any suggestions
    2
  33656. Hi Math Sorcerer I love your videos I am studying math for my GED test, and your videos have helped me a lot, thank you very much.
    2
  33657. Only 5?
    2
  33658. I'd appreciate if you could evaluate functions where the limit approaches a number either side. Like Vertical Asymptote type questions.
    2
  33659. Think you could do a video, or if you already have link it, on general tips for self study of math, especially more of the proof and logic based math. Also I really love the videos, found this channel 2 weeks ago and have spent a lot of time on it.
    2
  33660. I actually got the timer (it's very helpful, great tip) but every time it goes off I get scared because it's quite loud when the room is all quiet 😂
    2
  33661. Thank you a lot ! I wonder why I had first to move to France to cross path with your Channel despite your significant dense and mervellous content
    2
  33662. Wonderful!!
    2
  33663. Why Jeff Bezos has hair ?
    2
  33664. Nagle saff and snider is better than zill
    2
  33665. Such a wise advice!! Thanks professor!
    2
  33666. I LOVE ITT!!:))))
    2
  33667. We appreciate your insights. You’ll always have our support no matter what.
    2
  33668. I think I finally get this. When n heads to infinity, n is the same as n + 1. The same to kn: kn is same is as kn + 1, kn + 2, ...
    2
  33669. UHHH I was so bad at math and it's always haunted me. Time to take control of it I guess
    2
  33670. Thank you soooo much. This helped me a lot.
    2
  33671. If you can get into GA Tech but go to Broward instead, then you will definitely ace every test. It's all relative. (:
    2
  33672. I specialized in edge-case testing. Can you tell?
    2
  33673. That is the best book for investing. It should be a litmas test if you meat a financial advisor and ask him his top 5 books if it's not on there you should fire him. I do think that book is the best though.
    2
  33674. Trig sub. Longest problems ever
    2
  33675. Thank you 🙏 the work begins. Is there a simple way to convert all of this math into base 12 ?
    2
  33676. Great inspirational speech. Thanks for all that you do.🙏
    2
  33677. It’s kinda cool that the math sorcerer is also jacked 😂🤝
    2
  33678. Another beautiful entry into an advanced subject is Berberian's Introduction to Hilbert Space.
    2
  33679. Who's the one person who doesn't got this (the disliker)?
    2
  33680. Excellent Idea "Immersion"
    2
  33681. OOOOO YES YES YES YES YESSSSSSSS!! THIS BOOK IS FREAKING INCREDIBLE!!!! It reads like a workbook you would have at middle school or something where your basically doing problems AS YOUR READING, its like a check for understanding, Omg, I love this book so much, I have really great memories with it. Wow this is just awesome, you have a really great collection of books! Thank you for sharing to people interested, you really do pick out great selections. I'm still fawning over your first finite maths books with submarines, and set theory! That's so cool! haha
    2
  33682. Thank you! Good books!
    2
  33683. Brabíssimo. Obrigado!
    2
  33684. Thank you this really helped!
    2
  33685. 👏👏👏
    2
  33686. Jeff Bezos with hair.
    2
  33687. Thank you Divine Jeff Bezos. Nah I am just kidding, your video is quite motivational and it does make me think differently about life. and that is saying something considering how much of a miserable fool I am.
    2
  33688. All the TAs at my school have been given pretty much the same instructions: use webex or zoom to hold your class meetings at the time you normally would in person. It’s a learning curve for sure. We’re doing our quizzes online but we’re holding out on decision on how to do tests until we know if we’ll be out for only the 3 weeks or if it will be longer. I’ve always wondered about teaching an online or flipped class. I just wish I had more time to prepare.
    2
  33689. I used so many calculus books for my first year in uni, this was one of them but I didn't like it that much, used the exercises as introductory, I preferred Swokowsky and Purcell calculus for single variable calculus.
    2
  33690. I hadn't seen this one, but it is completely consistent with what I've seen from you for a year and a half, and it is moreover a good synthesis of what you're saying all the time. I have to thank you because I've got from you this spirit of "mathematical folly", of getting inside an enchanted garden where one can find any unsuspected flower 🌼, where one can meet remarkable people who live, most of the time, not all of them, adoring something which is hard to describe to those who have lived that initial frustration of not understanding what was being said at school, and had given up. I belong to those who meandered in the marsh of confusion, because of limitations of my personal conditions in childhood, but not to those who have given up, convinced that one of the main flavors of human spirit is the mathematical thinking, as painting, as poetry is, and I live now fully to that understanding, and I have to thank you because of kindness and skill when conveying it to EVERYONE. Please don't stop 😃
    2
  33691. you explain so well
    2
  33692. been stuck on this problem for a while. Thanks!
    2
  33693. Oh no you broke my heart I thought i was genius But after seeing this video I am a normal guy
    2
  33694. Hey! Can you please do a video of reviewing the book of Mathematics for Economists? Or explain what PhD level econ consists of?
    2
  33695. Or even econometrics!
    2
  33696. True but unfair!
    2
  33697. good to see the man who saved my life in math in good shape
    2
  33698. Just 1 day before my Entry Test and Youtube is recommending me this Video.
    2
  33699. Gracias
    2
  33700. Where do you find the time to read all these books? Do you read 24/7?
    2
  33701. Thanks a lot
    2
  33702. This applied to everything in life. thanks :D
    2
  33703. This is the only book i did all problems, all. I was 14-15 years old
    2
  33704. Love the values you expressed here
    2
  33705. Mrs. Einstein was talking with an astronomer at an observatory who was giving a tour and was showing off the high dollar equipment. "what is it all for?", She asked. "for probing the deepest secrets of the universe.", he answered. "Well.", she answered. "My husband already did that on the back of old envelops."
    2
  33706. For each book you stated that they're pretty cheap, maybe just a few bucks. However, with each link you provided each book is $150.00 or more!
    2
  33707. Thanks sir it is really helpful
    2
  33708. Your efforts are greatly admirable with a wonderful vision.
    2
  33709. Thanks you.
    2
  33710. I am curios what book you and your students were using for this class - was it the Zill & Cullen Differential Equations book with value problems?
    2
  33711. The Math Sorcerer Thank you. Excellent teaching sir.
    2
  33712. wow thanks!
    2
  33713. What is price for this book.
    2
  33714. Same book I learned Calculus from in 1976-77 at Tennessee Tech, but we used the third edition. I still have it.
    2
  33715. It's great that you had the proof books at the beginning, because like you said, even math majors don't always get exposed to proof writing properly when they are getting their undergraduate degrees. Sadly that is what happened with my degree. I think it was kind of thrown in with a course on discrete structures, so it wasn't a major focus at the time that I took it, so I will definitely be reading on of those books on proofs that you mentioned.
    2
  33716. Great 👍🏼
    2
  33717. you saved me from my maths suffering.
    2
  33718. People get stuck on doing jigsaws, one piece really annoys them, so they walk, have a coffee, or go out for the day, come back later, go to walk past the puzzle, turn towards it, then do 7 pieces straight off. At the beginning, you are punishing your left brain, forcing answers that just won't come. So go out, see nature, stroke a dog, listen to birdsong.........right brain.......more power......better connections......you walk back, right brain empowered.....job done. The American genius Thomas Edison said "Never go to sleep without asking your mind for answers" That's how it works.
    2
  33719. Please don't get me wrong, I noticed you don't blink nearly at all. Does that a result of knowing much as you do?
    2
  33720. I thought the best proof technique was to say "it is a trivial exercise to show ... <the theorem to be proved>".
    2
  33721. math triggers my anxiety and thiis really helped. thanks! 😭
    2
  33722. Lol the video is funnier if you play the game
    2
  33723. 😂😂😂
    2
  33724. thx
    2
  33725. Good Stuff man ^.^ .. reviewing stuff to take DE!
    2
  33726. The easiest way
    2
  33727. Great video, thank you!
    2
  33728. nice teacher
    2
  33729. Needs a lapel mic for better audio.
    2
  33730. We don't have to take "gen ed" subjects like the Americans do, so you can squeeze a lot more specialised content into a degree
    2
  33731. got a link to his SO profile ?
    2
  33732. Am I the only one to notice how Math Sorcerer has a striking resemblance to Sir Isaac Newton?
    2
  33733. Very, very interesting, thank you! Spherical trigonometry is the foundation of incredibly important things such as navigation. I wonder if fluency in this subject is however also critical or at least very helpful in other subjects as well such as physics. I say this because so many of the concepts we learn are in one dimension when in actuality they most frequently occur in three. If we turn to Quantum Mechanics, sometimes more complex problems are collapsed to one dimension by viewing the dynamics of the system through the lens of the norm of a radius, hence one dimension, as opposed to radial movement and scattering that in reality occur in three dimensions. Given the spherical or at least "spherical in a moment" nature of so much in nature, I'm thinking this is perhaps a "must-have" skill for many of us!
    2
  33734. 😊😊😊
    2
  33735. What is the time in your country right now
    2
  33736. Holy
    2
  33737. you're awesome!
    2
  33738. Thank you! Excellent. I’m a math self-learner. A large (huge!) repository of problems with solutions of the various disciplines would be massively helpful. I’m learning to use slide rules now; it has been awesome for getting a sense of the “philosophy” of numbers. Lastly, I would love to hear your thoughts on how to best teach and capture students when they move from the context of arithmetic to the more abstract algebra. Seems like that’s where we lose so many otherwise capable kids. Sadly.
    2
  33739. (Yes, I liked my comment )
    2
  33740. 7:40 I mean, if there was such a need for paper, they could have avoided spending the whole page on this remark, right??
    2
  33741. Got mine 1964 first addtion from Chicago public library sale back in 1985 ($0.25)- I with drew this book prevoiusly in late 1970's.
    2
  33742. Think about the man or woman who designed the book covers. Probably with very little budget. Interesting how they are all yellow, the type face they have used, the way they have spaced out the letters. That was once called design and typography. I would urge mathematicians to take a pencil and just draw whatever is in their imaginations. Not matter if you feel embarrassed. That's also a muscle that needs exercising, and it might help you with creative solutions to maths problems.
    2
  33743. Enjoy your videos. Would love a video on your recommendations of books for numerical analysis.
    2
  33744. ❤❤❤
    2
  33745. Muchas gracias!!!
    2
  33746. Yep, my analysis class only 2 people passed the midterm and we did a retake (I was one of the two)
    2
  33747. Great video, definitely needed to hear it. Although when I first glanced at the title I thought it read "Never give up on Meth"...made me double take 😅
    2
  33748. thank you
    2
  33749. im gonna start tmr 🔥🔥
    2
  33750. Dang I wish
    2
  33751. Really nice. Thank you for making this video
    2
  33752. I might get it.
    2
  33753. Please review a very nice book for introduction to measure theory ,,am taking the course from January 2020
    2
  33754. Michael Spivak. Differential Geometry, 5 volumes.
    2
  33755. I have a question. In USA are there a public colleges? No fees, free? Here, in Brazil, the best Universities are public and free. I am student of biggest university of the country and I pay nothing.
    2
  33756.  @TheMathSorcerer  Do you know If Berkeley, UCLA, is free?
    2
  33757.  @TheMathSorcerer  Here, in Brazil, no matter where are you came from, rich or poor, Brazilian or not, If you até admitted in a plublic university you will not pay anything for tuition. The only money you are going to need is for personal expanses like food, house etc..
    2
  33758. I completely understand the method, but the second part of the word I had to reread. Does the book illustrate the rules?
    2
  33759. Rule* not word
    2
  33760. Thank you so much!!!
    2
  33761. Please don’t add creepy music to your videos, they are so much better with no background sound!
    2
  33762. Eat pizzas and league of legends lol. Your are a funny prof!
    2
  33763. Thank you very much!!!!!
    2
  33764. Thank you so much for this. It really helped me get my mind back on track.
    2
  33765. I agree, going to grad school was one of the best decisions I made! Thanks for the video.
    2
  33766. Very helpful video, thank you.
    2
  33767. What are Your favorite 3 calculus books, sir?
    2
  33768.  @TheMathSorcerer  Great! Courant is good too, I hear. Sir, I don't know if this is the right place to ask but I have a question: What's the difference between being differentiable and having a continuous derived function? Sorry if this a dumb question
    2
  33769. Have you ever read Differential Equations A Concise Course by H.S Bear? This is a book I like to use. It's surprisingly small almost pocket sized
    2
  33770. Thanks so much for this video.
    2
  33771. This gives me AP Physics PTSD
    2
  33772. Prof: The prove is left as an exercise. My head: I'm not gonna prove it, I'll just believe the theorem is true.
    2
  33773. 👍 A small minority of authors do not require the underlying set to be empty. However they stipulate at the outset that for the remainder of their book, unless otherwise stated, they avoid topologizing the empty set in order to avoid repetitions considering cases involving empty underlying set Some authors economize by defining Topology a class of subsets of X closed under arbitrary unions and Finite intersections. Using Set theoretic conventions that Unions over the empty set is empty, and intersections over the empty set is X itself, the first axiom can be dispensed with, since it can be derived. However replacing Finite with Two does not enable this. Hope you find time to review Gemignani's Text (don't remember the title) on this subject, G.F. Simmons on Topology and Analysis, MHA Newman on the Topology of Plane Sets☺
    2
  33774. I like how he jumps from calculus to differential equations to algebra. Lol don't you need algebra to do calculus?
    2
  33775.  @TheMathSorcerer  hell yes it does, thanks man! im (15M) from india, and research culture is heavily frowned upon here. Any tips on getting into a university abroad (Germany/US) because i think that would increase my chances of fulfilling my dream
    2
  33776. Lmao he made up three new calc courses, and sales the book from his own publishing company..
    2
  33777. I have these books and its packing
    2
  33778. The healthy living aspects discussed cannot be overemphasized. When you are young and resilient, you think you can handle any abuse. It will soon catch up with you. Adequate sleep is essential. Try to get 8 hours. If you have insomnia, try melatonin or a blend of natural ingredients with melatonin. Stay away from sleeping pills (drugs). Cut out sugar and grain based carbs. But eat your veggies (fresh or frozen preferred). Very moderate alcohol or better yet, none. Get protein and the "good fats" in your diet like avacados, olive oil, coconut oil (virgin and unrefined only). Remember: Booze and books don't mix. :face-blue-smiling:
    2
  33779. guys, look at the image on the Spivak's wikipedia page, he is trying to sniff his own socks :D :D
    2
  33780. That image is from 1974. And Spivak was showing his flexibility by touching the tip of his foot (tennis shoe) with his nose.
    2
  33781. Thank you soo much.. I understand it easily after your video. Thanks a lot.
    2
  33782. wow first dude i ever seen don 't blink for a minute lol . amazing content thanks alot
    2
  33783. How do you even know definitions are correct?
    2
  33784. Back when I was a schoolboy, I used to put my name on every 50th page of my books.. The reason being that if anyone stole my book, he could just tear off the front pages where most people put their names. In that case I could still see my name inside. Wonder why Prince wrote his name on page 101. Could it be a similar reason?
    2
  33785. Thank you sorcerer
    2
  33786. Where can I get such a table?
    2
  33787. literally the best video for identifying linear differential equations, thank you!!!
    2
  33788. I too learnt speaking English by playing video games, gta vice city and san Andreas, and Mimicing the characters and saying their lines was the first time i spoke English with confidence.
    2
  33789. You literally just saved my math test
    2
  33790. "I'd have to do the math" lol
    2
  33791. Sooo helpful rn
    2
  33792. I thought it was abstract algebra... I knew 30min a day sounded too good..
    2
  33793. Onctly , I am now studying accounting, but I love mathematics and I spend most of my time on the Internet learning anything new and solving hard puzzle sometime and math is my hoby . I love how math simplifi a huge problem to an easy on and how all theores is related to simplifi a problem and I hope when I finish this major I will have time to study pur math
    2
  33794. This is the funniest thing I've seen in a while. Thanks for the laugh. hahaha
    2
  33795. heartbreak can really affect your focus.
    2
  33796. out of a 3 hours test i always get 30min to check out things
    2
  33797. First I thought if he ever gonna blink.
    2
  33798. I'm first.... I love ❤️ U
    2
  33799. Well shit... about a year too late for me, thanks. Could have really used this much inspiration before... goddamnit
    2
  33800. There is no finish for maths
    2
  33801. This helped me clarify in my mind what a parameter is. Thank you!
    2
  33802. Good
    2
  33803. Can't understand 🥺
    2
  33804. Have you had a chance to review Otto Bretscher's Linear Algebra with Applications?
    2
  33805. Hi first of all, thank you so much for this video!! I’m really eager to learn math but I’m having trouble finding them for a few dollars on the internet like you mentioned like for instance the first book on discrete math :/
    2
  33806. In my country, only Howard Anton's and Bernard Kolman's Linear Algebra books are translated and right after I bought Bernard Kolman's book this video was uploaded :D Anyway, what do you think about Bernard Kolman's book?
    2
  33807. I haven’t been following the news as much, but is the spread of the disease following an exponential growth pattern?
    2
  33808. sir,I request to you please make the video math book available in indian market .USA book are to much costly I can't buy the book in india . please sir help me.
    2
  33809. I can't believe there's a video online about this book :)
    2
  33810. The most beautiful things are often the most difficult things to learn
    2
  33811. This one was the sum of previous short "book" videos
    2
  33812. Bro looks like the sequel to Newton💀
    2
  33813. Photographic memory, not a picture memory,lol!
    2
  33814. This book looks amazing
    2
  33815. Really helpful and inspirational ♥️
    2
  33816. Congratulations for 666k subscribers
    2
  33817. Great video!
    2
  33818. It's very useful and tnq for uploading this video
    2
  33819. Thanks for all the things you do on internet, it's awesome the way yo can help people just by listen your speech =)
    2
  33820. the math sorcerer who I'm tryna be tbh
    2
  33821. Same here bro!
    2
  33822. My SICP copy is not signed.
    2
  33823. I See Jeff Bezos
    2
  33824. 👍👍👍
    2
  33825. Thanks a lot👍 It helped to get e^(x+x^2)
    2
  33826. I think you hit on something. People who are really into math tend to be perfectionistic. Perfectionists place high standards on themselves and others and when those standards aren't met, we get frustrated. Being able to handle that frustration better will make you not only improve at math, but life when things don't meet your expectations. Whether it's people that let you down, or a job you don't get, or anything else, it helps. I'm an expert at making mountains out of molehills.
    2
  33827. So helpful
    2
  33828. It always makes me think that he will eat a book whenever he smells one
    2
  33829. You can make your video even better by making transitions more smooth. It's really making difference (at least for me) 0_-
    2
  33830. I want to learn Scandinavian Dry Cleaning From Starch to Finnish.
    2
  33831. I want to believe this guy listens to speed metal.
    2
  33832. plugging that equation (2:35) into desmos shows it pretty well too.
    2
  33833. Great video! Thanks!
    2
  33834. In topology,this is hard to do
    2
  33835. Exactly. I am also finding myself hunting for math books after watching his videos
    2
  33836. A video on your favourite maths question/equation will be much appreciated
    2
  33837. I’d like to think this is math Hannibal and he can’t show his book cases bc he’s curing meats in front of them
    2
  33838. Very beautiful,every time we do maths we can't ignore the beauty that is indeed irresistible.❤❤❤ Edit: Love from Kashmir,India.Keep guiding,sir ,your guidance is invaluable. Thankyou!
    2
  33839. Thanks for saving me
    2
  33840. The mystery of the Lagrange multiplier...
    2
  33841. Yes
    2
  33842. Tetris vs pacman ?
    2
  33843. How many books you have read man 😎 salute..
    2
  33844. thank you this helped a lot with my hw!
    2
  33845. Make a video on scientist mind
    2
  33846. I’m 32 now and going back to school for a Computer Science degree. Praying it’s worth it in the end. Lol
    2
  33847. Thanks a bunch
    2
  33848. thank you. @TheMathSorcerer 
    2
  33849. I’m from India and am in the first year of high school. I’m preparing for the SSAT (a standardised test in the U.S.) and the arithmetic is super easy but the graphing and stuff is really hard. The Math we do is more logic- oriented and mostly arithmetic. Since the proverbial ‘tough’ Math concepts are mostly arithmetic, we tend to be better at them. I’m not sure about other countries but in India we are forbidden to use calculators. For that very reason, saving time is a priority and hence we tend to use our head more often, and this could be another reason. Lastly, one must be good at either Math and Physics or Biology alone in India. Career options are narrow and being good at Math is sort of like a cult. Hence, a lot of kids really work hard to do well in Math. P.S. I love your videos. They’re really inspiring.
    2
  33850. I only have PDF books. I print them out and scribble on them.
    2
  33851. What a sacrifice to make. She is indeed a Mathematician! I also think you should look at the Arabian Mathematicians during the golden age expecially father of algebra, Muhammad Ibn Musa Alkwarizmi. Lots of people don't know the origin of their modern Mathematics like number and algebra etc.
    2
  33852. I was thrown in this country in 10th grade with not a word of English, so I can relate. The only thing that I excelled at was math because it’s a universal language (except for work problems). I remember taking algebra II exams and getting hundreds, then my classmates would flip out 😅 knowing that I can’t even communicate with them in group projects.
    2
  33853. where are you originally from?
    2
  33854. why with math i can study and study and get stuck and a week later look at it for two sec and i understand it with no issue? same with class i try to take great notes because after the class is over i can can understand exactly what the professor was trying to expalin.
    2
  33855.  @TheMathSorcerer  Well, thank you! I just discovered your channel. It is great!
    2
  33856. Hola hechicero buen libro el mostraste
    2
  33857. 🤣😀🤣...made me laugh...lol
    2
  33858. thanks
    2
  33859. I have an issue with the book's solution manual, it's answers are wrong
    2
  33860. Bringing up Jeff Bezos because you look just like him 😂
    2
  33861. Could you do a book review of Chrystal's "Algebra: An Elementary Text-Book"?
    2
  33862. 1st comment
    2
  33863. On amazon these books are over 100$, are there any other places to get these books for cheaper?
    2
  33864. OMG, I studied in moscow university 10 years ago and it feels exactly the same
    2
  33865. Does the book edition make a great importance. I would think most authors would use the same teaching method for each edition. Some editions are quite expensive even used while newer editions are cheaper. Any thoughts or advice would be helpful.
    2
  33866. These days, you pretty much always see some group theory as a physics undergraduate. Things like representation theory in quantum mechanics... are very much abstract algebra.
    2
  33867. 👍👍
    2
  33868. agreed
    2
  33869. the real issue isn’t her age or the unavailability of resources (considering all the vast online resources available and free tertiary education in finland). the real issue is the psychological trauma of the past replaying itself over and over in her mind, like a broken record player that refuses to die. the core of that needs to be addressed first, before she can move on with her life. might probably need to snuff it out before she passes it over to her children. just my 2c
    2
  33870. I lke your saying that "Grades are for suckkers"..i believe in you..😆😆😆
    2
  33871. I want this channel to get millions subscribers
    2
  33872. I am about to begin as soon as my books arrive, thanks to you.
    2
  33873. It's code language to me...still struggeling with algebra..
    2
  33874. What should i do of all these knowledge even if its not going to help me in my medical career. But seems good to have knowledge of all the stuffs about maths
    2
  33875. I hear you.
    2
  33876. Bro you are hero.
    2
  33877. Hey math sorcerer, I've been following your Calc 2 Udemy course, and the videos have turned completely silent. My laptop still plays audio (like this youtube video), so it appears to be on Udemy's side. Was wondering if you know anything about this? I've been loving the course so far btw!
    2
  33878. The Math Sorcerer are you a musical person? Do you play any instruments?
    2
  33879. The blueberry pie cameo lol
    2
  33880. Good morning. This is trivial. See you tomorrow.
    2
  33881. Nice 👍👍
    2
  33882. you should be able to add straigth across ,, that is a real world problem ,, haha great vid
    2
  33883. Where were u 10 years back?!!!
    2
  33884. "can you do such droing?" "If you have homework, do some droing!" "It is not ask to you, but do it"
    2
  33885. That double use of functions at 3:24 is so bad I dont get why it gets used. You have functions f, f', F, F' and variables x, x_bar, x_tilda, x_fancy, X, X_bar, X_tilda, X_fancy with x written the same as X and to make it even more confusing make the multiplication symbol x and X. Then dont forget the poorly written alpha and every possible combination of u,v and w. uvwvuvvuwuvwuvuwuvuwwv
    2
  33886. fantastic idea that's so much knowledge in almost 50 mins wow
    2
  33887. Your motivational videos help me a lot to stay math-motivated 😊 thanks
    2
  33888. I have a question: what does it mean to be "good" at math?, by that i mean that certainly consistency would build up to make a you a great problem-solver, but when you want to explore research levels mathematics or if you just whant to begin to understand the nuances of math (what makes it beautiful in my eyes) how relevant is to be a good problem solver then? love your content, makes me think a lot :)
    2
  33889. I’m NOWHERE near a research level mathematician but I think what truly matters is the intuition you build along all this journey of rigor. Thinking outside the box and looking at problems from a different abstract angle WHILE at the same time developing a fundamental intuition for what you are dealing with is what I think makes a great researcher.
    2
  33890. Beautifully put. Learning for the pleasure of learning and not for the test grades.
    2
  33891. you don't know the impact you are making on this 17 year old boy who has a mathphobia. Thanks
    2
  33892. You are just awesome❤️
    2
  33893. The weakest Golden Order enjoyer
    2
  33894. This video was very enlightening
    2
  33895. can you make more math content for us viwers?
    2
  33896. What, I've never heard of this method! That was super interesting, thank you
    2
  33897. Abstract algebra because the professor started with rings. We didn’t do anything related to groups until the end of the course. I had to take the class twice. I decided to pass with a D so I could graduate. Abstract algebra is the only math course I failed.
    2
  33898. Learning from a book is the absolute best method imo, but I don't expect to understand it. Read it a few times. The first time I read it, it's for the immersion into new concepts. The second time is more understanding of the material.
    2
  33899. Basic Complex Variables for Mathematics and Engineering by John Mathews 1982 version is good. there are still a few copies in the $10 range and few in the $25.00
    2
  33900. Straight savage! Lol
    2
  33901. The Math Sorcerer I really want to try these now...
    2
  33902. Your affiliate link for the Beachy Abstract Algebra book points to an out of print edition that currently shows used books only for a ridiculous price. I'd like to point out that a fourth edition with simpler title, "Abstract Algebra" is available for "normal" prices. John Beachy's website also has a free online study guide. Just FYI, in you are able and wanting to update links. Maybe a future comparison video of old to new? Just an idea.
    2
  33903. I have this same book. Good choice!
    2
  33904. Thanks a lot. This is exactly what I was searching for and this has come in my luck by YT recommendation.
    2
  33905. I take the inverse by writing alpha as a complex exponential. It's a simple traditional solution.
    2
  33906. For a higher undergraduate level,Donald Sarason notes are very good!
    2
  33907. Y’all know those cartoons when the clumsy scientist has blue potion in one hand and red potion in the other hand and mixes them together and it explodes and creates some monster or something This is the scientist
    2
  33908. Beautiful
    2
  33909. yeah but the thing is most of the time you dont have time for extra self learning.. like i wish i could but, how do you keep up with what you already need to learn in class + extra self teaching?
    2
  33910.  @TheMathSorcerer  hey thx man thats actually a great advice! Ill try it myself at those time periods!👌🏼✌🏼
    2
  33911. Very motivating and inspiring, thank you
    2
  33912. Alright, Mr. Sorcerer Sir, I just ordered a copy of your book "Real Superpowers That Will Change Your Life". This thing better live up to expectations! By which I mean, it better SMELL amazing!!!!
    2
  33913. He looks EXACTLY like Jeff bezos. Can’t tell me that’s not him with hair
    2
  33914. this is the first commont I wrote on Youtube. I was searching for the self study advices for a level because I feel stuck in a stage where I dont konw what to do and I feel stupid and unmotivated. Every point you mentioned in the video is just what I am dealing with. I really got some self-confidence after watching this. thanks a lot.
    2
  33915. This video was just in time I was doing an open book exam for an online DE course :-D Btw have you seen "Second effort" motivational film with Vince Lombardi? Maybe it seems a little naïve but I can relate his talk to study of mathematics, sometimes things go wrong, you get wrong answer and it feels like you forgot how to integrate or some basic things, so in some sense it's like the players who try to catch the ball and it slips through their fingers but they still make an extra effort to catch it and play to win.
    2
  33916. The trick is not to be born. Just kidding
    2
  33917. Amazing video, thanks for this great content!!
    2
  33918. From India ❤
    2
  33919. I hope I grow up to be you
    2
  33920. Do a book giveaway,hahahhaa
    2
  33921.  @TheMathSorcerer  I've got one better,get used books and then give them away. Or if you've got enough... but books are never enough hahahaha. Let us know when you do one.
    2
  33922.  @TheMathSorcerer  I believe the guys who watch your content (including me),will make a pretty good use of books.
    2
  33923. I am agree 100% 👏
    2
  33924.  @TheMathSorcerer  Follow-Up: I attended a CS Masters defense today titled "Improved Bi-criteria Approximation for the All-or-Nothing Multicommodity Flow Problem in Arbitrary Networks." The math notation was so dense it scared me. All math that just happened to be applied to networking.
    2
  33925. Pure genius, 1 book is not enough. Thank God you told me.
    2
  33926. I like to buy multiple books on one topic, but I always end up following only particular one. Now onwards I will purchase one or two on single topic. Edit: please do review Hoffman & Kunze
    2
  33927. Hey sniffing books can be good for you !
    2
  33928. Much love from India proffesor
    2
  33929. Tbh It was too stressing to watch I had to stop. Lmaooo. I guess I have PTSD.
    2
  33930. I respect you so much!
    2
  33931. Absolutely agree with this. Even up until very recently (this past fall), I wasn't very good with reflecting upon my work. I'm not sure how, but the habit gradually infected me and now I try to justify to myself every step I take, even if it's basic arithmetic. Heh, 's also good to consider alternative methods. I love ur vids btw
    2
  33932. Soy una de estas personas y es muy difícil para mi ser constante, nunca termino lo que empiezo y me odio. Abandoné la universidad, abandoné mi carrera de ingeniería solo por una clase de matemáticas que encontré muy difícil. Mis padres están decepcionados de mí.
    2
  33933. organize by subject and then by author
    2
  33934. Thank you ! It really works !
    2
  33935. The production in this video is amazing. Looking forward to more high quality content!
    2
  33936. U are my hero always u inspire me
    2
  33937. I've watched this video about 10 times now, the triple integral always convinces me to click on the video.
    2
  33938. OK, you convinced me not to be a Mathematician.
    2
  33939. I feel the best thing that studying math teaches you is how to argue. I have had to figure out how to concisely convey my point and justify it so that everyone understands not just my teacher.
    2
  33940. a wise man once said "smart sadists do a ritual of ascension they will know all kind of weird stuff that draws attention forcing ppl to learn and do their sadistic stuff on the student causing them to have an existential crisis and call themselves MATHEMATICIANS" point is the teacher doesn't need to announce who is worst in class
    2
  33941. Hi, I am curious which one I should start with , Calculus or Linear algebra.
    2
  33942. Where to learn pure mathematics pls suggest me good books ....
    2
  33943.  @TheMathSorcerer  big thank to you I will getting pdf of it ...
    2
  33944. 👍
    2
  33945. Thank you, haired jeff bezos.
    2
  33946. This looks great! Thank you for sharing! Another cool book is J.D.H. Donnay's "Spherical Trigonometry: After the Cesaro Method" (1945).
    2
  33947. Merry Christmas from Oz
    2
  33948. great video! thanks :)
    2
  33949. Test anxiety literally destroyed me .I wish i knew those things in advance .. :(
    2
  33950. PUT IN THE WORK PUT IN THE HOURS AND TAKE WHATS OURS,
    2
  33951. I got a 98 in Calc 1 and have a C in Calc 2. It is brutal for all the reasons mentioned above. Not only the hardest math class, but the hardest college course I have ever taken.
    2
  33952. i just came here to like all the comments
    2
  33953. This works to mathematical analyisis too?
    2
  33954. Very cool!
    2
  33955. I'm so proud I could see a vector there. Also a plane equation... yay
    2
  33956. Great video but i think you already did a review for this book 😅 Nontheless great review once again!
    2
  33957. I'm stuck at Chapter 0. 😥
    2
  33958. If I'm a calculus 2 student can I read the the two textbooks on differential equations or is it gonna be too hard?
    2
  33959. Thank you sir Isaac Newton!
    2
  33960. I thought I need to believe our universe is fake, like it just encouraging
    2
  33961. Wise and inspirational words. Thank you.
    2
  33962. See I like some math but I don't like others. Logic is my passion. Diff EQ felt like memorization.
    2
  33963. I love you
    2
  33964. I love you Mr math sorcerer!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! (sorry I'm looped up on 5 coffees studying discrete rn LOL)
    2
  33965. it is a beauty.
    2
  33966. how can i get this book???
    2
  33967. The Kami to my Goku.
    2
  33968. This maths symbol playlist will be much helpful for students.I hope you will upload videos in this playlist as soon as possible!
    2
  33969. Can i apply this to physics as well
    2
  33970. you should do a comparison video: Terence Tao vs "Papa" Rudin
    2
  33971. We were taught to use pens and engineering paper, to sign our work, date it, and account for any blank space since - in practice - our calculations constitute legally admissable documents
    2
  33972. true , since what I have noticed form mine studies on math is when I am overwhelmed in math, all that means is I should take a rest and do it later. When some time has passed that all the problems do not seem so hard all of a sudden,
    2
  33973. Fun
    2
  33974. i love you thank you
    2
  33975. Honestly, I should be doing more math lol
    2
  33976. Hello math
    2
  33977. Good advice. Use a different part of your brain to give that mathematical part a break.
    2
  33978. What are your thoughts about using an AI (chatgpt, gemini, etc.) as an assistant to study math?
    2
  33979. Was trying to prove this with real numbers... fking waste of my time
    2
  33980. I am 28 and I'm thinking about a maths degree to get my fundamentals right, since I'm physicist... Do you think it's necessary? I have no job and my career in Physics was finished when I had a nervous breakdown because of bipolar disorder... I really would like to know your opinion. And by the way congratulations for the channel, it's wonderful! PS: here in Brazil we don't have to pay college.
    2
  33981. Thanks . I love all readings cause I red in my library only essays about that.
    2
  33982. Your advice and recommendations are always spot on!!! Have you thought of coaching in addition to teaching? You'd be good at it!
    2
  33983. Plz pay attention to series... No, no, like, legit... Also, graphs!! Graphs are amazing, that's the whole point of calculus!! UNDERSTAND the formulas! An DO NOT MEMORIZE HOW TO DO A PROBLEM!!! PLEASE PLEASE PLEASE DO NOT THIS IS NOT HOW TO GET BETTER AT MATH!!! (Also, please make a video on the last one. A lot of my classmates do this. They remember exactly how to do a problem so when given something different they cannot do it and I think a lot of people who say they're bad at math do that)
    2
  33984. I found it interesting that this book has a chapter on finite state machines. I'm currently learning about finite state machines in a computer engineering course. Do most discrete math books cover finite state machines?
    2
  33985. What are the applications for such advanced math? Genuine question, i'm actually interested in mathematics, but i'm still in high school.
    2
  33986. Highly successful students attempt to learn more than what is required!
    2
  33987. But DOTA....
    2
  33988. nice
    2
  33989. Thanks
    2
  33990. Made life soo much easier thank you !
    2
  33991. Thank u
    2
  33992. Thanks you professor 🖤
    2
  33993. Time is huge. I had nights in school where I spent hours on a single proof and couldn’t figure it out then realized days later what the solution was.
    2
  33994. Done!! Just ordered my very own copy of De Morgan's FORMAL LOGIC on AbeBooks in the format of a used softcover edition! Can hardly wait to add it to my collection of historically significant math books!! Thanks again for that book suggestion, MS!! :) :) :) :)
    2
  33995.  @TheMathSorcerer  After learning all of this. Is to start specializing in one field the way to go?
    2
  33996. Saved to my watch later. Will be a reference guide for whenever I need to know the prerequisites of any course. Thank you. 🙂
    2
  33997. If Jeff Bezos says that, it's true
    2
  33998. Trying to learn mathematics at 33..
    2
  33999. Shouldn't you do linear algebra before differential equations? Since systems of differential equations rely on the jordan form of a matrix. And personally I believe that measure theory should come before probability theory. Also set theory is a very difficult subject (saying this as a phd student in math).
    2
  34000. The camera needs to stay still, it's very distracting; but i love the content!
    2
  34001. Such a hard core theoretical science book.
    2
  34002. Awesome!
    2
  34003. Excellent advice. Articulating and verbalizing the concepts is a huge thing. Yes, notation is excellent, and you have to actually do a problem, but talking about something, hearing analogies, and all that will definitely help. Thanks for the video.
    2
  34004. Man .... you kickass !!!! Thank you for that!
    2
  34005. Have done a level maths this feels obvious lol
    2
  34006. thank you for the video
    2
  34007. If you don't enjoy doing something, don't do it. It's not a good idea to torture yourself unless you have a very good reason to do so. :)
    2
  34008. Last semester in my first ever abstract algebra course, after every lecture the guy beside me and I would turn to each other and say a percentage — however much of the lecture we actually followed that day. I think the highest one of us ever said was 80 and lowest was like 15 😹 but we still both ended up doing well in the class. Definitely taught both of us that not understanding things the first go around doesn’t dictate your understanding in the long run LOL
    2
  34009. Thanks I needed to hear this !
    2
  34010. But at the same time, I did take it in the summer when things are accelerated
    2
  34011. Very informative video thank you. P.s The sound transition is the most annoying thing in the world
    2
  34012. it would be a perfect society! For me this was the best video!
    2
  34013. Wow, so amazing
    2
  34014. 👍👍👍👍👍👍👍
    2
  34015. we didn't exist before internet
    2
  34016. Oh my ign is masonishungry, I’m also iron 4 so we can definitely play together!!
    2
  34017. Oh and also the peano axioms failed to mention the last axiom in which you play league with me sooooo👀
    2
  34018. Recommend me good book for linear algebra at university level ??
    2
  34019.  @TheMathSorcerer  ok thanks 😊
    2
  34020. thank you sir
    2
  34021. One plus one always equal two ? It cant be true and I incest on that .
    2
  34022. ❤️❤️❤️sir
    2
  34023. I followed some Russian books during my underGrad years. They were dirt cheap but full of complex problems ---- hahahaha
    2
  34024. Very good
    2
  34025. What are the best books to learn Calculus from zero to Expert mode ? Any books who explain the problems step by step , logically and very intuitively ? Keep it up Sir.
    2
  34026. Who’s world is this? 1:00 1:00 It mine its mine its mine Edit: this video makes me so excited to start learning proofs. What are the pre-reqs?
    2
  34027. Great video and all but that book costs a fortune and now I had to order 6 cheaper math books before I found inner peace again😅 If you could review books that are not super rare in the future, that'd be great🤪
    2
  34028. very helpful. A good book can be a life saver.
    2
  34029. Self learning must be prioritized. School programs must guide students into self learning. Adults must make space in their life for self learning. This kind of videos do much as many people have no idea about self learning. Thank you.
    2
  34030. to be honest, infinite series was pretty dope! bit of a challenge at first but it was awesome getting a hang of it!
    2
  34031. 😍♥️
    2
  34032. Of all of those math books behind you, do you have Algebra: Structure & Method by Dolciani. And, if so, what do you think about it as a math book?
    2
  34033. Thank you so much for this! It’s so obvious now that I you’ve said it. I’ll be sure to pass this knowledge along to my students.
    2
  34034. I'm 99 years old and am learning algebraaaaaas
    2
  34035. im mechanical engineer,bring me memories when i was student
    2
  34036. it’s hilarious because my lecturer literally does all of this
    2
  34037. Thank you my friend :D
    2
  34038. Please add Urdu language subtitle
    2
  34039. Did someone joked about Bezos already?
    2
  34040. Getting serious about math is like chasing after a girl. You have to have very thick skin.
    2
  34041. Thank you 🙏
    2
  34042. Sir , Best algebraic topology book??
    2
  34043. Literally just saved my quiz grade. This video was exactly what I was looking for.
    2
  34044. I love your channel. Sometimes I feel overwhelmed and frustrated with math and physics, but your precious advice helps me to start pushing again.
    2
  34045. Thanks bro!
    2
  34046. Preach, We are your congregation.
    2
  34047. Hi sir what do you think of the study material of( mit opencourseware ) the multivatiable course for helbert gross
    2
  34048. I saw a wonderful case of a topological space that was connected but not path-connected. It's probably in the counterexamples book (but I saw it in "All the math you missed, 2nd Edition).
    2
  34049. Hmmm yes, i have the stupid.
    2
  34050. Huh, interesting.
    2
  34051. So you do not need a book just for trigonometry
    2
  34052. Ayyyyy thank you this will come in handy 😊👍👍
    2
  34053. holly shit this dude just speedran me through 2hrs of laplace expansion frem my prof lol
    2
  34054. thank you so much sir ...send the more video about real analysis sir
    2
  34055. Great video
    2
  34056. saludos a toda la raza matematica en México
    2
  34057. After this video I solved 1+1.
    2
  34058. The book is now over 700$ 🥲
    2
  34059. I study mathematics and a little interested in data science but have never learned it because it requires programming skills and knowledge beyond that of mathematics I’ve learned so far. Though I’ve already learned fundamental statistics and probability theory using measure theory, they seem to be not enough
    2
  34060. At university we studied the books of Michael Spivak and Kuratowski, among others. They were not easy books considering the abyss between what was studied in mathematics in high school and in university ...
    2
  34061. Damn didn't know Jeff Bezos underwent a hair transplant
    2
  34062. El que madruga Dios le Ayuda that's the Spanish version.
    2
  34063. This is more of a life advice bool haha
    2
  34064. " are you hearing this cry? Its Einstein trying to do the Final Exam"
    2
  34065. Real 🥶
    2
  34066. I just came for advice. Now i feel o found my Rabbi 😅. From the bottom of my heart thank you.
    2
  34067. Thank you sir for the review...when i start with proof books which should be considered first? Hammack, velleman or Cummings?
    2
  34068. Thank you
    2
  34069. Thank you!!!
    2
  34070. You are a madman! :)
    2
  34071. Please sir make a video on this question. Thank you
    2
  34072. The whole video is in the first 2 second
    2
  34073. keep going.!
    2
  34074. Sir, can you make a video on Bourbaki math book series. One Bourbaki book has the size of encyclopedia. Why? Back in 90's this series was very famous. I used this collection. The series comprise pretty much all college math subjects. And then, few years later, I saw a documentary on Bourbaki confirming that the collection is a scam. Bourbaki supposed to be a consortium of mathematicians, and it turned out that it isn't the case. So, I'm curious to know you comments on it. Thank you. By the way, the series have rigorous math, full of elegant proofs.
    2
  34075. You always impress me with your videos, surprisingly relatable too. Thanks
    2
  34076. I was 61 when I got back into Math. I had done well in High School, with A's in Algebra, but didn't take Math because my Father had a tradition of beating his sons nearly to death when HELPING them with their homework, and so I renounced getting a Bachelor of Science Degree, and aimed for a Bachelor of Arts, and never took Trig. But then cam Old Age and I wanted to learn Math. I home schooled myself on College Math Textbooks (my shelf not quite so large as the Sorcerer's) for 4 years, just to prep for the University's Entrance Screening Test where I did well, and I got As in Algebra, Trig, Intro to Statistics, Computer Science Programming, and Calculus I.... the Pandemic interrupting my Math Career and now I am the YouTube Messiah.... yeah, my Philosophy Degree won out in the end. But, yes, I do believe that Math comes easier to the VERY Young. I believe that the Schools are teaching wrong. Classroom Teaching keeps students in lock step, and once children are passed by and fall behind, there is never any catching up, and so the kids are discouraged by math. But if only the Teachers would allow each student to go at their own pace, until they GET IT... and begin to CONCEPTUALIZE early with their YOUNG BRAINS, then it will always be a struggle. Of course, Math also comes with IQ limitations. Math will only be easy if you are really smart in EVERYTHING.
    2
  34077. Where can I buy this Calculus book? I'm really interested!
    2
  34078. Good advice as always. Thanks for all your work :)
    2
  34079. I really do think that it takes time for your brain to get good at something, and that it works in the background while we think we’re not thinking about a problem anymore. You’ll be walking down the street and all of a sudden you completely understand a problem that you were stumped by last week. And you might stop in your tracks and say something out loud with a big smile - and people look at you funny. As for basic arithmetic I had the same problem after having my brain addled by chemotherapy drugs. I thought I’d never get better, that I’d always make mistakes like 2x3=5 - really stupid! But I got better at it and I can laugh at myself. The only way to get good at something is to just do it. Trust that you’ll get better. You will! Math Sorcerer has been my 'light in the distance', helps me just keep working. I’m so glad I stumbled over his videos. 👍
    2
  34080. 3:14 😂
    2
  34081. Don't just learn it, apply it.
    2
  34082. Or how about this power move.... First day of class Profesor:Hey guys your going to need the book for this class by tommorow which by the way we will probably never use and it can’t be the e-book it has to be the physical book despite the amount of money and trees you’ll be saving by just getting the e-book instead which you are not allowed to get.
    2
  34083. The goal one is really Hard for me because i dont even know what i want, maybe this has something to do with age, or personality or idk but i have some problems having a clear goal
    2
  34084. This book is obviously better , than all books used for this class at American Universities...The Schaum's outlines are very good , but the main Problem it that is does not cover all branches of Mathematics .For example there is no Schaum's outline in introductory real variables , none in Number Theory , Algebraic Topology , and the Abstract Algebra Outline is hopelessly outdated , using material not commonly taught...
    2
  34085.  @TheMathSorcerer  Can't find your Schaum's abstract algebra books? I'm not surprised. I'll bet the room where you keep your extraordinarily vast collection of math books must look like that requirements room from the Potter movies.
    2
  34086. 🤗
    2
  34087.  @TheMathSorcerer  el profe sabe español bien...
    2
  34088.  @TheMathSorcerer  greetings Froom colombia south América, the best coffe of the world.
    2
  34089. I say most of these
    2
  34090. Great video!
    2
  34091. Thank you for this. I majored in math but a lot of it went over my head, I keep telling myself I'll try to relearn it. This is very helpful. :)
    2
  34092. Thank you.
    2
  34093. That one time I got a 100 on my analysis exam. Peak of the math career 😂😂😂
    2
  34094. giving the people what they want I see 😏
    2
  34095. Would love to hear your take on "Statistical Inference" by George Casella and Roger L. Berger. Please make some videos on mathematical economics books.
    2
  34096. I'm gonna need your videos I'm guessing while teaching myself math lol thanks for doing what you do
    2
  34097.  @TheMathSorcerer  Yes sir, I do that, I have started studying class 8 mathematics textbook and also have started with another mathematics textbook and am practicing them daily. What resources and all would you recommend for like IMO and many things before that.
    2
  34098. I want to become a great mathematician and physicist and win things like IMO and also Fields Medal, but IMO and stages before it for now.
    2
  34099. looks very interesting
    2
  34100. We have this book in our college library
    2
  34101. What’s the software you’re using do these videos.. I mean the writing software
    2
  34102. matrix equation more video need
    2
  34103. Nice Review!,would You know any book for calculus 3 that is written similarly to spivak?i used Marsden,but i'd like a more challenging book for preparing the final
    2
  34104.  @TheMathSorcerer  the closet i got was multivariable mathematics by shifrin
    2
  34105. Cool I will check that out
    2
  34106. I can recommend mathematical analysis by pugh
    2
  34107. This does not apply if: -Exams are graded on a curve.. -You run a company, you obviously will not help your competition..
    2
  34108. For me, the reasons are: 1) There's almost never a guarantee that progress will be made when conducting research. 2) There's a lot more bureaucracy than you'd think (though this is true of many academic jobs). 3) Working in an academic setting is notoriously underpaid when compared to--say--working in a company (where you'd ironically be working on something less cutting-edge). This can be a real problem for those that have accumulated significant debt (which is common in the U.S. where tuition rates are ridiculous and 8+ years are needed to enter the world of academic research). 4) You often have little to no idea about 'advanced' math by the time you finish your undergraduate degree. This can make it very difficult to choose a thesis topic you like/understand, do undergraduate research, and make your essays for grad school competitive. 5) Math culture; by virtue of the 'layman' believing that math is for geniuses, there's a tremendous amount of pressure to succeed and be "brilliant." A lot of mathematicians feel ashamed by confusion, and unwilling to seek help or ask questions. Much more than in most other scientific fields, in my experience.
    2
  34109. The way he shattered my freedom to the magic world of mathematics made me not sleep tonight
    2
  34110. Make a vedio on books on organic chemistry
    2
  34111. I recommend a script called “An infinite large napkin“ by Evan Chen. If you are new to math then it gives a really nice overview on a lot of different math topics from linear algebra or the basic definition of what a group is over complex analysis, measure theory and galois theory to topics like algebraic topology or algebraic geometry. Of course it is very brief, but it gives you many good ideas what these topics are actually about.
    2
  34112. Sir do a Post graduate math books
    2
  34113. Are there only applied problems that relate to business or is it mixed, relating to different applications?
    2
  34114.  @TheMathSorcerer  ok I think I'll buy it
    2
  34115. Can you recommend me a books that can teach me on how to evaluate hard integrals like this?, cause I don't how to use magic like you did, It's alright if it's old, Thank you in advance!
    2
  34116. Excellent video.
    2
  34117. Ciao! Math books are not equipped with fully worked-out solutions because, in addition to taking a lot of time, other competing departments would get possession of new ways of solving problems that exercised the pioneers/teachers in that subject. That's true for the modern emerging theories though. The most valid reason is the following. If teachers provide worked-out solutions, one would merely learn by heart how to solve quantitative problems, and the exam would no longer be a valid test that measures how well one understood something. Rather, it would be a test to measure how good one is at learning by rote.
    2
  34118. Same with me, wish me luck for the test tomorrow
    2
  34119. also keep sniffing more books cause math books just have that smell
    2
  34120. Love your videos. I would love it if you would do a series of the 8 Standards of Mathematical Practice.
    2
  34121. Gracias, me suscribo.
    2
  34122. My experience is not that I don't like a certain subject but more that i don't like a professor. And I would recommend not choosing a subjects, but instead choosing a Professor you like. In School i never really liked vectors and stuff like this but i was more into calculus. Now in Uni it Completely changed. Not because Calculus was less interesting but my Professor in Linear Algebra was amazing while my analysis professor was a bit weird. Now i am choosing what ever course my former linear algebra Professor is offering. And it is a quit exciting journey by now and i never learned that much before. The only Problem is, it's quit frightening how smart he is.
    2
  34123. Ha... too late for me, I guess... I have a waiting list with problems three years old, and still try them from time to time... It is kind of nice because I am already starting to diverge from the current academic perspective on math
    2
  34124. The K&R, I read this book many times
    2
  34125. I am surprised how students write out the entire questions verbatim. I consider that time-consuming. In exams, I just write the answers only and yet have spare minutes to double & triple check my answers. On my paper, I draw a narrow margin on the right side and reserve that for rough workouts. My past teacher suggested that. Same teacher who also suggested I box my finalised answers.
    2
  34126. Really cool video! Keep up the good work!
    2
  34127. Looks like that came over on the mayflower
    2
  34128. I felt the square root one 😂😂
    2
  34129. Good morning
    2
  34130. Awesome video and this was (and sometimes still is) me when I started my self study in Math. The biggest improvement I have made is the focussed, distraction free, quiet study time. I wasn't easy as I live in a small house with two other people, but I came across the power of morning routines and built my own: 5.30am wake up and get myself out of bed wash and dress (do not touch your phone at all). 5.50am review notes from previous day - see where I was up to and what I planned for this session. 6.00-6.55 am - study, study, study. 5 min break half way through to make some tea if I am really struggling. 6.55-7.00 am - write down a few lines about how the session went, problems things that need a revisit. Then write a plan for the next session goal/how i'll get there. Rest of the day - think about my morning session to deepen understanding and look for opportunities to put into practice what I learnt Repeat Mon-Fri (Saturdays off and Sunday's I play around with math related subject for two hours e.g. problem solving (brillaint.org) programming python functions etc. relaxed and at the time I feel best doing it - Math can be fun too, right?) Doing this at the start of the day means that firstly the house is quiet, also I am fresh and can focus easily, finally math is important to me and I am not going to let anything else get in it's way. Journaling the sessions also helps track your progress and give you a sense of getting some where (Point 5. - Goals). It does mean I end up going to bed earlier but hey, Sacrifices (point 4) right? Also buy Deep Work by Cal Newport, read it and implement it for your study sessions - you won't be sorry. You have to BE a mathematician it does not happen by accident, you have to be purposeful and focussed. Good luck all, and thanks Maths Sorcerer!
    2
  34131. 👍 Great video, Sorcerer
    2
  34132. 3:44 I died
    2
  34133. pls guys,just don't LIKE comment anymore,because it has perfect number.123
    2
  34134. Great book. It can be a bit volume-heavy for the average person, but it is an absolute must-read for anyone getting into bodybuilding. If one can still find it, the best bodybuilding book ever written is Extreme Muscle Enhancement by Dr. Carlon Colker. To those recommending Starting Strength, that is a great book, but it is a strength training/powerlifting book, not bodybuilding. It's good for the learning better mechanics for increasing your strength in the main power movements, but will not translate to hypertrophic results like a bodybuilding program will. That said, it is good to go on a strength specific training cycle from time-to-time. One book won't replace the other, but wisely implemented, they can complement each other well.
    2
  34135. This video actually made me laugh in excitement. I need a copy!! Preferably an old one like that, of course
    2
  34136. ♥️🇧🇷
    2
  34137. in simpson, the coeff pattern is 1,4,2,4,2,4,2,....4,1 right? if yes, then the first example problem has wrong solution I guess.. kindly clarify
    2
  34138. I hate my job. Security is a job not a career.
    2
  34139. hey!! can you help me to show me a road map please i didnot study maths and ignored it since childhood i am at 9th grade now and i am loving maths seeing it but i dont knmow how should i start it maths but i want to learn math now and i am desperate please
    2
  34140.  @TheMathSorcerer  mate I searched but i want from you please i ust searched and i got diffrent topics which to pick !! I want a roadmap from you cause i loved you guiding and videos
    2
  34141. Really...👊we need to feel empty to be filled with.🙃
    2
  34142. This video is pure gold.
    2
  34143. As an engineer that loves mathematics, thank you. <3 I've been meaning to get back on mobius strip of mathematics since I graduated back in 2018. Now I can self-learn without going back to university. :D
    2
  34144. There is another life wich is afterday wich is separate muslim to paradise and unblieve Islam to jahanma.
    2
  34145. Can you make a video on calculus ( brief description on differentiation, limits , integral)
    2
  34146. Mine is a bit different , I'm just trying to prove to others and myself that i CAN ..if they say I cant, i try to turn it to "see! I CAN "
    2
  34147. yos. i am really interested what you will say in the video.
    2
  34148. Teaches you to problem solve and be analytical.
    2
  34149. Hard work is elitist. I'm entitled to have hard work done for me because I'm not elitist. :-P
    2
  34150. The more I watch your videos, the more you compel me to switch my major to Mathematics from Physics.
    2
  34151. Thank you so much I love the fact that you explain this very simply that way people could understand it very easy
    2
  34152. excellent thank you for your efforts could I suggest making series to explain what is the topology in simple way
    2
  34153. Indian's are really good at math!
    2
  34154. Thank you.
    2
  34155. I met an Asian kid called "Richard". He was probably in 6th grade finishing calculus. He then went to take some AP-Mathematics exam (or SAT). He could see the answer when he see a math problem. He says the solution before writing steps to the solution, he writes down steps because that is demanded by teacher. His mind is so sharp, it takes no time to see patterns and he just sees the solution immediately. I think parents influence a lot in a child's development. Richard's father is a engineering or math professor at a top US university. He had already decided son's future. Richard has to simply walk on that path. My parents being only high school educated only were able to help me up to 11th grade They did not know to teach, often yelled at me, and then beat if I got math wrong. I had to made my path by myself all the way to graduate school asking "How to" questions from so many people. I Walked on many wrong paths, Made correction, Experience hard love, etc... and finally Was able to get a job. It consumed my energy and time a lot. I was able to get my very first real job at age 37.
    2
  34156. Jeff bezos’ lost brother
    2
  34157. thank you!
    2
  34158. This hits home, in so many ways
    2
  34159. I don’t know if you’ll see this, but if you read through all of it, I genuinely appreciate it. I have just finished taking my Precalc. Final for my first semester of college, and didn’t even get a 50%. And so my other exams fall in almost the same line, with just one being a 77%. The thing is, in senior year of high school I took 6 AP Classes with one being AP Calculus AB, and while I didn’t pass the exam I did everything in class very decently, averaging a 90% GPA in the course and was still a high honor roll student for years. I love mathematics, my teachers really made me appreciate it for what bored every other person I was with; I saw the light in it. And truthfully, I did skip Precalculus and moved straight to AP Calculus, yet here I am failing to do the basics. And I’m not a moron since I actually do well and love science the most, and I can do almost all the math there like Kinetic Energy or dimensional analysis even even the more complex things. But I am humiliated, and just absolutely frustrated that I seemingly cannot do basic math, and I’ve failed all my nice teachers I’ve learned from in school. I can remember the smallest and unnecessary details of chemistry that really we shouldn’t even consider in our general chemistry course right now like how the atom is not just a wave function calculation, but things like it’s in superposition or the collapsing of a wave function for location or speed of it. But whenever it comes to actual math, I just cannot remember anything; all this time it’s been going in my ear, staying for as long as it was needed for like upcoming tests and homework in high school, and then leaving my mind. And with this burden, I have decided I must reteach myself all of math from at least Algebra I in my winter break that is a month long, and I’ll begin probably next Monday as I just need to finish this week for the Fall semester. I am lost, I am scared if it doesn’t work, and frustrated I let everyone who believed in me down. I couldn’t tell you how sorrow, guilty, and the anger I felt all at once when I told my parents my Final score; this is not the son they wanted to raise and I’m ashamed they have to even look at me (my parents are very nice snd the most understanding of me don’t get me wrong, this is just me beating myself up for it since they are these nice people that don’t deserve anything less than the performance I just did). It is not right an 18 year old me is failing where younger versions of me would succeed. All I can ask is for any help or advice you can give me, before I attempt to try and make mends and fixes to my concept of math in a month’s time. And unfortunately, though at least I know, tutoring would never help me, as it really is all on me if I want to learn it or not, therefore it be best I learn on my own terms and plan I have come to conclude (perhaps I am wrong, but I have done my research on the subject). Anything would help, I just need to finally understand and memorize math once and for all, and perhaps the best that can help is how to actually study math as that question has never been answered for me. That is all I have to say, thank you
    2
  34160. Hi Math Sorcerer. I sent you a message some minutes ago but I don't see it now. It was about a classic old book of Algebra in 2 volumes by G. Chrystal. It covers a lot of material not covered in modern books, and it is in the public domain, although the AMS issued a 7th edition reprint. You can check the book data and Descrption of this AMS reprint in the Amazon link below, but I include here the description anyway: Description In addition to the standard topics, this volume contains many topics not often found in an algebra book, such as inequalities, and the elements of substitution theory. Especially extensive is Chrystal's treatment of the infinite series, infinite products, and (finite and infinite) continued fractions. The range of entries in the Subject Index is very wide. To mention a few out of many hundreds: Horner's method, multinomial theorem, mortality table, arithmetico-geometric series, Pellian equation, Bernoulli numbers, irrationality of $e$, Gudermanian, Euler numbers, continuant, Stirling's theorem, Riemann surface. This volume includes over 2,400 exercises with solutions. https://www.amazon.com/Algebra-Elementary-Text-Book-2-set/dp/0821819313
    2
  34161. Heyy waait are you that guy who discoverd the law of gravity?
    2
  34162. I think it comes from wasting time due to hard headedness. There is no room in math to be hard headed, which I am. It's a constant battle with your ego.
    2
  34163. I love it when you talk about Physics!!
    2
  34164. The homework is Just good to do, immidiately knew that he shouldnt have said that.
    2
  34165. THANK YOU
    2
  34166. Also I think sometimes we may look the subject differently sometimes.
    2
  34167. I want your all Book plz give me to learn by self study
    2
  34168. thankkk youuu
    2
  34169. I am using this video as an inspiration for rediscovering my love with Theoretical Computer Science I left the habit of exploring it and now I feel under confident
    2
  34170. Thanks
    2
  34171. What I took away from this video: some people put bacon on pizza
    2
  34172. I was a math major. Then I got seduced by computers circa 1978 or so. Hardest teacher was from India. He spoke English but not very well and spoke it at Hindi speed. Tough. Aside from that I was one of those weird people that generally understood everything said in class to "some level". But that was a curse because it took a while for me to learn to put in enough effort to understand it at real depth. Toughest was Statistics only offered at 8am. I discovered I couldn't do math worth a crap that early in the morning.
    2
  34173. That is huge! Thanks sorcerer :)
    2
  34174. Just a question, can you understand my English? As I do not practice the language (only in games) I am afraid that I say it does not make sense.
    2
  34175. Math is hard taking Calc 3 with phys 2 are Alot of work actually 👏👏👏👏👏👏
    2
  34176. Surprisingly, you do look like him in his younger days.
    2
  34177. Me: trying to figure out which part of the math problem jokes are the jokes and which parts are legit math because I don't understand any of it Or is that the joke
    2
  34178. Could you talk about books about probability?
    2
  34179. great video!
    2
  34180. Sir plz recommend some books of number theory.
    2
  34181. oh tomorrow is gonna be my summative in pre-calculus, hope I can pass it,
    2
  34182. first view
    2
  34183. I made a living as an artist for 35 years. I stopped doing math intermittently for years. I'm retired and can do math in my head that is amazing to me. Because i haven't done math consistently, I'm a "big picture" person. I'm able to step back and look at situations in a simple objective manner. Then my creative process kicks in and the math becomes only single part of any solution.
    2
  34184. can you allow me to upload your videos to a Chinese app called Bilibili?It is Chinese biggest video app for learning.It has the best atmosphere for learning in apps.I am Chinese.I really like your video.I hope your video will be popular in China
    2
  34185. One of the best channels to start this 2021!!
    2
  34186. 100% agreed!
    2
  34187. i needed this, i'm apparently studying for my calc II. exam lol
    2
  34188. Watching a vid of why NOT to study math, and most cases can be reasons to STUDY math🌞
    2
  34189. Beff Jezos
    2
  34190. Hello,I don't know if you made a mistake (and excuse me in advance if I am wrong) but Bourbaki was a group of mathematicians. They revolutionised the teaching of mathematics in France.
    2
  34191. thank you
    2
  34192. Too good , thanks
    2
  34193. keep going
    2
  34194. do you surf in your free time. I don't know, but the haircut reminds me of a surfer! 🏄‍♀
    2
  34195. ❤ this author!
    2
  34196. Does no one use Larson's Calculus? Edit: okay, you mentioned it. I bought Larson's earlier this year just because it was more affordable than Stewart's
    2
  34197. Which book is best for intro for meausre theory?
    2
  34198. 👍
    2
  34199. Awesome
    2
  34200. Not related - I just realized you look like Jeff Bezos but with beautiful hair!
    2
  34201. I like solitude. It's beautyful
    2
  34202. It didn’t work😕
    2
  34203. Self-study is great but the hardest part for me is making a study plan to be more consistent in my studies
    2
  34204. I also got into university at 24. You are right Sir. Its never too late.
    2
  34205.  @TheMathSorcerer  So for a universty student of Biology, do you recommend this book? Because I don't know if my level of Maths is in part with the book
    2
  34206. You are such an inspiration.respect from NE corner of India(Manipur)
    2
  34207. Oh my god. The way he holds the marker is pissing me off!
    2
  34208. 3:17
    2
  34209. Hey teacher¡ Do you know what do I have to know(mathematically speaking) before trying this subject/book??
    2
  34210. Hola. Sus consejos me ayudan a sentirme mejor al estar aprendiendo matemáticas por mí mismo ya que me considero bastante tonto en matemáticas desde siempre. Vi algunos videos suyos en español, y es muy bueno; sería genial que tuviera otro canal como este completamente en español. Pd: entiendo más inglés del que puedo comunicar. Ojalá me lea jaja... Gracias de antemano, sobre todo gracias por sus videos. Saludos :)
    2
  34211.  @TheMathSorcerer  Ha tenido más éxito en inglés. Pero yo creo que también podría tener éxito con este tipo de videos de consejos y motivaciones en español. La verdad en español no hay algo así relacionado con matemáticas, es por eso que veo sus videos jaja. Además yo creo que hace mucha falta, ya que muchas personas llegan a sentirse mal por no tener algo de apoyo/guía en matemáticas.
    2
  34212. Por nada. Gracias por sus videos :)
    2
  34213. I came across these definitions studying locally convex spaces and the strict inductive limit topology of test functions in a course on distribution theory, I'm pretty sure Rudin's real and complex analysis has these definitions
    2
  34214. Eres el mejor. You are the best !
    2
  34215.  @TheMathSorcerer  I wish you had a video explaining problems like the following, An integral equation is an equation that contains an unknown function y(x) and an integral that involves y(x). Solve the given integral equation: y(x) = 2 + x from 1 dt/ty(t) , x > 0.
    2
  34216.  @TheMathSorcerer  it was a test review !
    2
  34217. Calculus: Early Transcendentals 8th Edition
    2
  34218. I just finished my undergraduate degree and now waiting on graduate school decisions. It's so good to hear this right now. I feel like math has given up on me.
    2
  34219.  @TheMathSorcerer  Do you have any idea approximately when I will hear back from the graduate schools? Waiting really sucks, especially when I have already graduated. I don't know what to do in these couple of months.
    2
  34220. Omg that silence ❤
    2
  34221. Thanks for quick help
    2
  34222.  @TheMathSorcerer  I’m taking abstract algebra as a first year engr major and most of the contents are similar
    2
  34223. Your video has added value to my life. I thank you, and my soul thanks you 😊
    2
  34224. Wait... THERE'S A FINISH?
    2
  34225.  @TheMathSorcerer  I know I was just joking. Great vid by the way!!
    2
  34226. I have the First edition of this book.
    2
  34227. I cannot say im smart but....i was a skipping class artist...I almost blew everything with that.Guys PLEASE dont do that!!I remember having studied for a Functional Analysis test once( A level prop) and.....prefered to skip the test just to play a match of...speed chess!The whole thing is about being resposnsible.Grow up!Math Sorcerer,u r a saint bro!
    2
  34228. huge help bro tysm
    2
  34229. That's why I kind of hate classes. They're necessary, but it definitely takes me longer than my colleagues to arrive at the same point but we're still on the same schedule
    2
  34230. I dont believe in anything at all it is not because I do not want to but rather than choose to. So wish to learn more.
    2
  34231. Thats my elden ring build lol
    2
  34232. That's OK...everybody has to vent sometimes!
    2
  34233. It's the first video I've ever seen of the channel, thanks for the video. It'll really do me too much good. I'm starting the bachelor's degree, I'm going for the second semester and this video has animated me more. Greetings from Guatemala. New subscriber!🤩
    2
  34234. thank you
    2
  34235. "And we all know who that was" That cracked me up
    2
  34236. Any recommendations where I can find same copy?
    2
  34237.  @TheMathSorcerer  Thank you 👏👏👏
    2
  34238. It is great book
    2
  34239. Pls suggests a best book for functional analysis ..sir
    2
  34240. Thank you sir
    2
  34241. Thank you for this video.
    2
  34242. I just checked the Amazon price: $248 new ...
    2
  34243. Hi
    2
  34244. Great video as always! Please forgive me for going outside the topic... I want to know if your calculus 1, 2 and 3 all I need for calculus, and do they cover all the topics in the book of James Stewart Calculus.?
    2
  34245. Thank you
    2
  34246. May tell me what microphone you are using your voice is clear
    2
  34247. Sadly in my country the major reason why Math (as well Physics, Chemistry, etc) graduated people become teachers is because they didn't get a career in a fancier job. It's like as being teachers is the bottom of the well. :'(
    2
  34248. all you need is to sacrifice your time
    2
  34249. Please make more videos like these.Absolutely love it!❣️❣️❣️
    2
  34250. amazing detailed explanation, you're a good teacher !!!!
    2
  34251. I love your videos and you calculus 1 course on udemy, keep up the good work!
    2
  34252. Staple holes
    2
  34253. yup, and speed buys you even more time to check calculations and perfect your work
    2
  34254. Please tell us where to buy books!
    2
  34255. Amazon
    2
  34256.  @TheMathSorcerer  have you done it yet? I don't seem to be able to find it on your channel, although I would be interested in your take on this!
    2
  34257.  @TheMathSorcerer  Sorry! I found it, Im just stupid. Thanks!
    2
  34258. Stephen Hawking once said that people who brag about IQ are losers. Another way to state that is, IQ is not an important factor in intelligence. IQ tests, in my view, determine the potential for success, but they don't determine much about biological intelligence. Intelligence is difficult to measure. I give more credence to someone's accomplishments, rather than their IQ. I perceive people who have made substantial contributions to an academic field to be highly intelligent. I don't care about IQ. Thus, people like Chris Langan or Marilyn vos Savant come off to be as pretentiously banal and dull. People like Terrence Tao, Andrew Wiles, John von Neumann, etc are people that I perceive as having higher intellect and unique thinking processes.
    2
  34259. 4:19 the mathematical hidden society will annihilate you for doing this crime
    2
  34260. I finished all of them
    2
  34261.  @TheMathSorcerer  Bro This was a joke 😂
    2
  34262. Is this book better than the book of proof?
    2
  34263. Yeah lml
    2
  34264. Perhaps there's also a stronger selection bias coming from other countries relating to the cost of higher education in America. This obviously doesn't apply in all cases that you mentioned, but in countries with lower median incomes there's likely to be a higher probability of any given student belonging to a family that can't afford for multiple children (or even one) to go to a prestigious college in the States and support them from there, so (my guess is) there would be a bias in favour of kids that show a higher mathematical aptitude (and perhaps greater initiative in self-study) to receive the necessary investment from parents or bursaries from their selected colleges. Then again I'd suspect that it also relates to educational programs being structured differently outside of the US... I'm from the UK but I don't know the American syllabus so I can't draw comparisons.
    2
  34265. You should do a video about free digital math books that are out there. There are a lot of resources available as pdf that are free. You could probably get all info you need for a Bachelor's Degree in Math without buying a single book. Some examples: Book of Proof - Richard Hammack Linear Algebra - Jim Hefferon The Matrix Cookbook - Pedersen and Petersen Abstract Algebra - Thomas W Judson Multivariable Calculus - Jerry Shurman
    2
  34266. Wow, nowadays your thumbnail are awesome 👌
    2
  34267. all of that to get 3/4 hhhh you're a bless ... God bless you sir
    2
  34268. So grateful for this! Thank you!
    2
  34269. YOU HAD ME UNTIL YOU SAID I CANT WAIT TO GIVE IT A WIFF WTF DUDE
    2
  34270. Hi there. I'd like to learn math to help with my career in computer science, and help with my understanding of functional programming, machine learning, and neural networks. As such, I have the following curriculum planned - Discrete Mathematics with Applications by Susan E Epp - Concrete Mathematics by Graham, Knuth, Patashnik - Math for Programmers by Paul Orland - Lambda Calculus and Combinators, an Introduction by Rodger Hindley - Category Theory for Programmers by Bartosz Milewski - Mathematic Statistics with Applications Does the order of the above look correct? Also, anything else you would recommend? I have intermediate Algebra skills but have no experience with vectors or calculus.
    2
  34271. fun
    2
  34272. I’m 54, when I was young I struggled with math but at some point began to love it. I sometimes forget words but for some strange reason never the math.
    2
  34273. in entire video i think i was just like the cockatiel :)
    2
  34274. Super wonderful😊
    2
  34275. i love you
    2
  34276. My advice Dont understand, just get used to it unless its a word problem Secondly if you dont show math love don't expect math to show you love
    2
  34277. There are different editions of this book. Which one do you recommend for newcomers to Calc? Many think the '89 edition is best. And that the '81 edition focuses more on undergraduate students. What do you think, Master Sorcerer?
    2
  34278. It is a question of passion for the subject, whatever it is. It brings me back to the point I made earlier. That people don't recognise the difference between wanting and having a passion for STEM; to "liking the idea" of STEM.
    2
  34279. it's for the smart
    2
  34280. WHAAAAAT! THIS IS GREAT
    2
  34281. "Russian Cooking by Siegel" is up for bid!
    2
  34282. Does it means that if someone do Ervin kreyszig he will okey for engineering mathematics
    2
  34283. Thanks ☺️👍🥰
    2
  34284. Thank you sir 🤗....you cleared a major doubt 😇
    2
  34285. Why not just not have answers, why not just not have any exercises or examples at all? Why not just let students re-discover calculus from absolute zero like Newton did? Oh it would be nearly impossible? Well so would be if you try to learn something and you have zero idea if you're correct or not.
    2
  34286. Up
    2
  34287.  @TheMathSorcerer  sir is it possible to change the linearity of a differential equations
    2
  34288. if we raise both side by 2, it will be non-linear?
    2
  34289. Not only that.. the opportunities one has had makes a huge difference
    2
  34290. Issac newton ?
    2
  34291. Thank you for sharing !! I will obtain this book and read it 👍👍👍👍👍👍👍
    2
  34292. Indians here 🙏
    2
  34293. Best Of Ever Seen! Thank You! Sir.
    2
  34294. never knew newton had a yt channel
    2
  34295. That’s right 👍🏻
    2
  34296. In my university, first day first year, in calc 1 , we had epsilon-delta sequence definitions. Basically in my university they think that calc 1 = analysis.
    2
  34297. Love these videos! thanks!
    2
  34298.  @TheMathSorcerer  Thank you. I just found your channel and I have watched a few videos and so far I have them to have good information and motivational talks
    2
  34299. Does that mean... I really can get a PhD in potion making from Hogwarts? 🥺
    2
  34300. I needed this, thank you !
    2
  34301. The book I used in 1986 in India was by Thomas and Finney as well. Finney assisted Thomas in revising the book from the 5th edition onwards, which is when his name was added. After Finney's death in the year 2000, the authorship reverted back to Thomas alone. And it been Thomas' Calculus from the 11ed onwards.
    2
  34302. I thank the Lord everyday for your existence. And I'm agnostic!
    2
  34303. Looks cool, I'm not fully at that level yet, I have only just started doing calculus. I'm taking the Neil DeGrasse Tyson approach of letting the cloud and fog clear as time goes on, ie. just sticking at it. The good thing about math is that it is precept upon precept.
    2
  34304. This is the best channel if you want to become a true mathematician
    2
  34305. New badge! Awesome video!!!!!
    2
  34306. Great
    2
  34307. lol this is hilarious good work
    2
  34308. Yes Sir please tell
    2
  34309. Next video on projective geometry love from india
    2
  34310. In fact, one can show Ker\phi is normal in G.
    2
  34311. It all begins with being introduced properly and have a strong foundation early on. Its that simple.
    2
  34312. 3:44 watch later
    2
  34313. Better than my real Prof 😂
    2
  34314. Thank you Math Sorcerer.
    2
  34315. You're butiful Pro what you like books about Linear Algebra and calculus and Algebra And thank you for doing 🙏🙏😀😀🌹🌹🌹
    2
  34316. That was my Calculus book!
    2
  34317. Well explained! Expecting more videos n solutions like this one from u! Outstanding!
    2
  34318. I believe it is a combination of factors. To do a little more advanced math, you need to be good with simple stuff like applying formulas & computational procedures. Some people are more adept at this - and this is purely neurological thing (so I have heard) - the "capacity" of the sort of very-short-time memory, that allows you to temporarily store stuff like associations (relations) & facts (e.g. numbers or symbols). Some people have superhuman ability in this regard but this is not enough. You need to be told to try & use your brain. And here comes the environmental factor. And the environment drives the development factor.
    2
  34319. Awesome!
    2
  34320. Thank you sir for your dedication towards Mathematics
    2
  34321. I love my degree, but I don't like most of my colleagues. Tech areas are filled with horrible people. Maybe taking a humanities course would allow me to take a break from time to time from them (even if it pays less, at least, I would "relax" for a year or so).
    2
  34322.  @spivak4342  Thanks, I'll think about it.
    2
  34323. What do you mean by horrible people? Wanting to make money is not “horrible”
    2
  34324.  @andyl9900  Where did he explicitly say “tech people are horrible because they want to make money”? You projected that statement into his words. It sounds like he had a bad experience. Anthony Hani already made a good point that OP agreed with; to paraphrase, horrible people aren’t restricted to one field. If OP likes the humanities, I would encourage him to keep studying them.
    2
  34325. I kinda disagree. I've not got the time to do analysis yet but yeah i think it's awesome! I began Terry's book after seeing your review.
    2
  34326. Thank you
    2
  34327. Is it all or anything left . I want to really learn a lot of maths.
    2
  34328. epic
    2
  34329. I have the book and did solve this quiete strange equation. Cambridge...
    2
  34330. How does this book compare with Saff and Snyder?
    2
  34331. Persistence, patience, passion, and practice.
    2
  34332. Is that Ballard the Oceanographer? (He found the Titanic)
    2
  34333. Robert Ballard was only 17 years old then. But he was later a US Naval Officer. Perhaps the Ballard here is Edward J. Ballard (about 1790 – 1 June 1813) killed in the War of 1812 who had two ships named after him.
    2
  34334. Wow I needed this video thank you.
    2
  34335. George Polya (1887-1995), Hungarian-born Jew, prof of mathematics Zurich, Switzerland 1914-1940, and Stanford Univ 1940-1953
    2
  34336. We enjoy them too Sorcerer. Keep posting😊
    2
  34337. There’s no way you have the same level of interest in every branch of mathematics. Maybe one day you should tell us which fields you like the most and which ones the least. That would be awesome in my opinion.
    2
  34338. MATH PEOPLE ROCK!:glasses-purple-yellow-diamond:
    2
  34339. Dear Master of Sorcery, I want to learn Set Theory in preparation for studying topology some day (my math is basic). Is your online course, “Set Theory Proofs”, sufficient for me to know set theory as a whole or is it more of a supplementation? What do you suggest for me oh wise one?
    2
  34340. Is that sooo🙄🙄🙄🙄
    2
  34341. Sir, can you do a video on how to learn mathematics step by step. And how they are applied and why
    2
  34342. Jeff Bezos thinks he will fool us with that wig
    2
  34343. Once I heard this, I subscribed on the spot!
    2
  34344. Thank you it helps a lot
    2
  34345. I love when he says " ohh look at that they cancel..""
    2
  34346. Cool
    2
  34347. As a person who already has his own career, and can't hope to go back to college to study a major in Maths... what are the things I will have missed if I just study from these books?
    2
  34348.  @TheMathSorcerer  Ok. I'll take that into account. Thanks a lot!
    2
  34349. I have seen this book at Newsboy Books, in Ontario, California. It looks like an excellent book for people who want to start learning math from the beginning.
    2
  34350. i listen to this man like a son listens to his dad teach him how to fix a car or something
    2
  34351. See when I first watched you on Youtube, I thought you was crazy cause you look crazy but you're not. Everything you say is true. Good video!
    2
  34352. I don't have experience myself, I did the traditional starting at 18 thing. However, currently I am 19 years old but in my introductory abstract algebra class (which is where we first learn how to prove things mathematically at my school) one of my closest friends is 25 years old. I am a junior and he's a senior, he was on the applied math track (so he pushed off his pure math classes until the end) but now experiencing pure math is is once again doing a full 180 to do pure math and we have 3 classes together next semester that are pure math. I believe he is also going to stay an extra semester than he needs to do take more pure math to be competitive to go to grad school for pure math. He turns 26 in a month and is figuring things out, but he is still happy and doing really well in classes! I don't think age should be a limiter at all. Even if you were in your 30s I'd say go for it, it may be challenging to get back into school after so long, but you can do it! Don't be afraid that you're too old, there is still plenty of time to start and accomplish your dreams!
    2
  34353. So if I thoroughly read all these books, I'll be a math whiz?
    2
  34354. Year 2014, when I was in my 10th standard, marked as the dumbest student of the whole class at maths. I took it as a challenge, irrespective of suffering from typhoid I scored 'A' in my final examinations and left maths for lifetime 😌 but why YT recommended this video to me🤔btw maths has no point of finish it extends to infinity 😉
    2
  34355. I felt like I was listening to jocko lol
    2
  34356. Can you explain what is meant by "writing proofs"? Does this basically mean solving the problem? I.e. you are proving the answer? This is just a wild guess on my part. Also, I took a quantitative analysis class in my MBA, we used the Excel Add-ins which did all the work for you ... Do math majors nowadays use these tools, or are they crunching the numbers themselves? Thanks for your time and your videos.
    2
  34357.  @TheMathSorcerer  many thanks!!! ...PS I ordered the 2d Ed of Susanna Epp's Discrete Math ... math sorcerey here I come.
    2
  34358. Me: "would be perfect if it has exercises" *Shows exercise Me: *opens my wallet
    2
  34359. You should do more of these.love it. Thanks
    2
  34360. Useful ideas. I see rat puppets in the screen...
    2
  34361. Thank you sir
    2
  34362. This was beautifully done. Thank you. I have subscribed :D
    2
  34363. Thank you so much
    2
  34364. "You probably shouldn't watch this" 205k Views
    2
  34365. This was quite fun to watch! Thanks for posting this video to YouTube :)
    2
  34366. I love this!
    2
  34367. Nice
    2
  34368. Simply stated and simply understood.
    2
  34369. YOU ARE THE GOAT!
    2
  34370. Please do this with math books that only contain word problems.
    2
  34371. Have you tried cengage?
    2
  34372. 😍😍😍😍😍
    2
  34373. Or l'hospital rule
    2
  34374. yooooooo you finally have the book on ODE's by Pollard hehehehe I hope you've been enjoying it lots my man
    2
  34375. Thank you
    2
  34376. For supplies, I think it is worthwhile considering an eInk note-taking device. At some point I was getting overwhelmed with the amount of paper I was going through. With an e-ink device, I have an endless supply and I never lose any of my work.
    2
  34377. Bravo!!!!!!!!
    2
  34378. Schaums Outlines helped me find more worked examples. I discovered that if I was assigned all the odd numbered problems, to do the even numbered ones, too. As many as you could. If you're in school trying to learn the Calculus, Differential Equations, or whatever, find the tutoring lab and use it. Take advantage of the knowledge of the upper level and grad students who work there. Learn how someone more experiencd than you approaches problem solving. Also, use your teacher's office hours for problems you are having and make a personal connection. While you're their, look on his or her shelves because if your test questions can't be found in your book, they will be in one of the books on his shelf! YouTube is also a terrific resource.
    2
  34379. This is hilariously accurate 🤣 thanks for the lolz
    2
  34380. thank u for working your math magic on this concept. i am bewitched with knowledge
    2
  34381. Please make a video on applied mathematics from computer science point of view. How to study Applied math on my own. Your videos are awesome. You are doing great. All the best. 👍👍
    2
  34382. And the mechanical method of studying should be replaced by intuitive learning since a younger age.
    2
  34383. And we all know who that was :D
    2
  34384. These videos are really great - perfectly targeted and “bite sized” for the students I work with. For those who don’t know or remember the “add and subtract” strategy, long division with a remainder will get them to the same point so they can integrate 1 -e^x/(1+e^x)
    2
  34385. An extraordinarily altruistic video, thank you!!
    2
  34386. Thanks. This kind of video really makes a pleasant day.
    2
  34387. Thanks
    2
  34388. which one(or more) of your courses would you recommend before getting ur calc 1 course
    2
  34389. Must say sir your hair looks like that of Newton.
    2
  34390. Thanks so much for your ongoing support.
    2
  34391. Yes, I think you have to memorize some coefficients and experiment on stuff That's why I want to major in theoretical physics and minor in math or vice versa
    2
  34392. Easy
    2
  34393. 👍
    2
  34394. Today was my first morning waking up in the dorm. Getting in the bed because it's so tall is near impossible to do on a whim, so looks like the laziest thing I can do everyday is sit in the chair and do some work. That's nice.
    2
  34395. Needed this
    2
  34396. How easy 😆
    2
  34397. Marilyn Monroe used to do math because she thought it would make her smarter. I should mention Marilyn Monroe had an IQ of 160, but she was insecure about herself in many ways. I heard that the part of the brain believed responsible for math thinking was larger in Einstein's brain. I have heard that parts of the brain that are responsible for things like math will get larger if used a lot.
    2
  34398. yes.. this is completely true
    2
  34399. i will buy again love the book
    2
  34400. Amazing! XD
    2
  34401. Seems good companion for Numerical Recipe in C or C++ !!
    2
  34402. Great advice
    2
  34403. What is the one book you suggest for Discreet Mathematics which covers nearly everything within it? 😊
    2
  34404. Thanks you, the moment when you took that gigantic caluculus book was pretty funny
    2
  34405. if you don't take a whiff of the book you're reading you're not a real reader also that's a lot of books!
    2
  34406. I now have a new mission 😎😤😤
    2
  34407. Mr Sorcerer.. please we want a tour of your bookshelves 🤤🤤
    2
  34408. Math requires more focus than most subjects. When my attention is divided up with texting, people stopping by my desk, and emails I can't get quality time focusing on learning math.
    2
  34409. Thanks man
    2
  34410. Thank you
    2
  34411. Nice
    2
  34412. This is really helpful. I wanted to spend my summer in 2021 restudying math and I just didn’t know what books I could use. Thank you for this! 🤍
    2
  34413. Please make video on techniques to prove theorems @math_scorcerer
    2
  34414. This should be my 2023 goal. Get through all of these Maths books (or at least through Calculus).
    2
  34415. So I’m watching this video and you come to the Kreyszig book and I’m sure I’ve seen that before. Drop everything and start looking. Sure enough, I have 3 copies of the 1962 edition. Typical.
    2
  34416. When I switched from physics to applied math all of my remaining credits were math courses so I was forced to take 4 per semester to remain on track. But I was told that's perfectly normal for math majors. I also had a friend in my graduating class, he claimed he almost never studied. I took ode, abstract algebra, numerical methods, and an upper stat course with him one semester, the guy aced every course.
    2
  34417. Sir which math advanced calculus book is better for beginners !!
    2
  34418. first
    2
  34419. I thought that was a front cover on the thumbnail
    2
  34420. gain sorcerer
    2
  34421.  @TheMathSorcerer  Another free but online one: https://infinitedescent.xyz/about/. Perhaps you could review this too? I have currently just begun reading "Reading, Writing, and Proving: A Closer Look at Mathematics", the ebook version of which was made available free of cost by the publisher (for a limited time) a few months ago. https://link.springer.com/book/10.1007/978-1-4419-9479-0
    2
  34422. i ate some pie and it was delicious :)
    2
  34423. Please never stop making videos
    2
  34424. Thank you!!!
    2
  34425. Does this guy imagine most non-math professors say shit like this? If so, he should try teaching at a real university. Also, I've had plenty of excellent math professors say "Yeah, the required text book is trash, the department/university has some kind of deal with the publisher. Here's a list of texts I strongly suggest you get your hands on. If money's an issue, try libgen."
    2
  34426. these vids are like scoobysnacks. xD
    2
  34427. Yes!!!! This is exactly the video I've been waiting for!
    2
  34428. ex should also have a constant when assumption of particular solution was made
    2
  34429.  @TheMathSorcerer  hey I did pretty well, but got an average rank:(
    2
  34430. How do you know which side to add the + C to? Because you get a different answer if you have the constant on the other side, right?
    2
  34431. I don't just mean subtracting C from the right side and having negative C on the left side, I mean if the constant is placed on the left side instead of the right (the y-side).
    2
  34432. Ramanujan only had chalk and ground , even more minimal
    2
  34433. Great video. I read a book by Solow when I was learning how to do proofs.
    2
  34434. The fundamental theorem of engineering
    2
  34435. thanks man
    2
  34436. Only remember vectors from physics and calc 1,2,3 n diff EQs IT WOULD HAVE BEEN NICE TO BE SHOWN VECTORS IN TRIG IN HIGH SCHOOL
    2
  34437. loved it
    2
  34438. It really helped!!!❤❤guess what😂my lectures just said we know That it must be half😂😢😢In didn't explain that at all 😢😢Tnx sir❤❤🎉🎉a lot😊😊😊😊
    2
  34439. good work.
    2
  34440. The constant of integration does appear in minute 5:32
    2
  34441. ❤
    2
  34442. The paper quality is very 'soviet'.
    2
  34443. Brilliant!
    2
  34444. Thank you.
    2
  34445. Hahahaha I am an international physics student here in Germany. At the first semester, we've already been taught real analysis and abstract linear algebra 😂😂😂
    2
  34446. . ⚠️ . Media Offline I did it!
    2
  34447. Love the channel name 😂 Very pertinent
    2
  34448. Really love these calculus problems.
    2
  34449. Hi sir, do you list of solved problems on surface integrals?
    2
  34450. Hey, thanks for all these amazing problem-solving videos, but for some reason, they don't show up in my subscription feed. The algorithm at play maybe?!
    2
  34451. I just bought it!
    2
  34452. I hate it when i see marks in books.
    2
  34453. my maths teacher told me that the only way to get good at maths is not by doing multiple problems but by doing the same problems multiple times
    2
  34454. thank you, I was so close
    2
  34455. Editor? Price?
    2
  34456. Publisher is Springer, all of whose books are overpriced.
    2
  34457. I ate some pie
    2
  34458. Lang Algebra is a crazy book
    2
  34459. QED
    2
  34460.  @TheMathSorcerer  what type of proof would a person need?
    2
  34461. Thank you very much indeed. I've been solving some primitive problems being struggled with some thoughts of building a strategy of mastering maths (and applying it in future career as well), when I saw this video. I understood perfectly where should I start and what I have to do. I adore people who have such solid comprehension. Thank you!
    2
  34462. I love you dude! God is taking great care of you because you take great care of yourself! I'd be an honor to meet you one day!!
    2
  34463. You Look Doplengger Of Sir Isaac Newton:)
    2
  34464. Oh neat we used James Stewart in Mexico when I lived there in my last two years of high school.
    2
  34465. that was pretty neat
    2
  34466. Thanks
    2
  34467. It depends. If he's still in school, I don't even know how he could realistically have 10-12 hours to spare for studying. In that extreme case, I suggest going out with some of his classmates. If he's not in school, he should probably look for a job. And if he so much likes studying and spending time with books and papers, he should look for a teaching job. This way he can distribute his knowledge while doing other things throughout his day, like preparing a lesson or correcting tests. My general advice is to get lazy. It's very benefitial to not do anything at all, even if that means not doing something you like. The human brain cannot perform at full power for so long. So when he feels like things are starting to get difficult, finish whatever he's doing and end it there. Studying all the time is mindnumbing and doesn't actually ensure that you've learned what you're studying. I see the best way to learning as small steps over time. This way there can be consistency in the effort of these steps and they become more meaningful, while still allowing for other activities throughout the day. As a side note, he could also try getting some girls to spend his time with something other lessons.
    2
  34468. at some point, math will become hard to you. some people reach the stage of frustration earlier than others. but even the top researchers struggle very much. in general research is a very uncomfortable process, but some of us just get used to it. we have just enough successes to keep us going.
    2
  34469. seems like thursday is the favorite day for test and assignments
    2
  34470. Ok good
    2
  34471. You have this power and what I am seeing is the result? Brother let me teach you how to wish.
    2
  34472.  @TheMathSorcerer  ohk sir thank you very much , I didn't observed that😀😊🙏love from India ,and sir stay safe from CoVID-19.
    2
  34473. first again! HA!
    2
  34474. nice
    2
  34475. Ah the good old days of pure mathematics for my engineering degree
    2
  34476. Thanks
    2
  34477. I think you're underselling math here. A few centuries ago, we would expect to live half our current lifespans. The development and present ubiquity of symbolic logic systems in our society is the dominant factor producing the prosperity, health, longevity, and erudition we enjoy today.
    2
  34478. Thanks
    2
  34479. In other words, the end of the world 😂😂😂😂
    2
  34480. Thank you, this helped me.
    2
  34481. great!
    2
  34482. Lol. Extremely funny!
    2
  34483. kiss you from japan!!! I just do it!!!!
    2
  34484. I have passion for math only because it's easier then any other science for me lol. But really, I am self learning physics and math, and I find out that math books are much easier for me to read then physics books. Maybe this is the evidence that I have passion for math.
    2
  34485. I have one question, do I need to read a lot of books like you, if I want to be a mathematician? I mean, isn't it enough to read 1-2 textbooks on each field? Or this is only because Algebra is your research field? If it is going to be such hard, I will never choose math😂
    2
  34486. Do you know a book with a lot of challenging integration?
    2
  34487. i recon maths learning is just a snowball effect in which your skills and learning abilities compound over time. like, at first i sucked at math, was told by my math teacher indirectly i was very dull in that respect in year 4. it would take me a few hours just to understand basic math. so then i started really trying hard on my maths assignments in year 6 to impress a girl, and then math became a bit easier to learn. year 7-8 i maintained that amount of effort, and it became even easier to learn. took the entire lesson + a bit of time outside of class to understand concepts, but still was easier than before. year 9, 10 i was able to keep up with the class without needing to do homework. year 11 i found myself being able to learn 2 concepts per lesson with ease, year 12 i was able to read ahead and understand my entire math book for the year within the first 2 weeks. got a very good score in my calculus class in highschool. now im in college doing calculus 2, and my lecturer covers like 10+ concepts within a span of just 50 minutes, and yet i find myself able to understand the content even at 1.5x speed. for linear algebra, a branch of mathematics that involves hard proofs and highly abstract concepts, its a different story, but thats because im not used to doing that kind of math. i recon the same sort of snowball effect will happen for me with these abstract, proof-based courses, though.
    2
  34488. Please, how we can learn from math problems ???
    2
  34489. What would you consider to be a "reasonable IQ" for getting a math degree, like a ballpark estimate?
    2
  34490. IQ of 100 is the exact normal on standard deviation test. If you are in range of 90-110 your in normal or average IQ range. I know this because I had to take a real IQ test in high school and grade school for test accommodations.
    2
  34491. I think you've got the essence of a "do both" approach, there. Maybe instead of memorizing one thing (a string of words or symbols), remember two things: That string, and the single word summary you use to access your memory of the proof - and prioritize the proof. (If you can come up with one word that works as the key that unlocks the memory of the proof, you probably understand the proof; and if you understand the proof, you understand the non-linguistic part of what you're learning - the "mathematical" part, even, if you don't want to allow language elements into your concept "math"). (That would require pretending that a definition is an essentially linguistic thing. And maybe I'm wrong about it being so?)
    2
  34492. 8m from India 🇮🇳
    2
  34493. welll doesn't matter your idiom Math are universal so I gave my like to another asome video from math Sorcerer. Thanks!
    2
  34494. I have to read this book one day
    2
  34495. best tip i got was to buy a whiteboard! great vid
    2
  34496. Commenting for the algo
    2
  34497. What do it mean? How is it benefitial? Thx.
    2
  34498.  @mikloscsuvar6097  the more likes and comments a video gets, specially early on, the more the algorithm suggests it to other people.
    2
  34499. Sir, You are the non plus ultra and a primus inter pares in the Mathematicians!Quod erat demonstrandum!Q.E.D.Take care!
    2
  34500. Just a random thought, i really want to know how many books you have from Indian authors? I am from India.
    2
  34501. Thank you, I needed this today. It’s week 4 of the semester and Real Analysis is already beating me down. Again, thank you
    2
  34502. Self-study is so important in math because different people interpret texts differently. I think it's better to decide yourself what you can takeaway from the book after reading the text. Listening to only lectures sometimes removes the true element of mathematics as motivations and thoughts are usually left out. This is probably why most people say math is boring. I had to self-study math because all my high school teachers ignored the importance of proofs and the mechanisms that make math so great.
    2
  34503. That is interesting. Never thought like this.
    2
  34504. Really needed this Thanks
    2
  34505. We all know that you are very smart. We know your just saying it to be humble.
    2
  34506. I’ll definitely be working on this!
    2
  34507. Why you use pencil for do math....is there any extra benefits..
    2
  34508. Love the quality Prof., came a long way! Adonde están los videos de español???
    2
  34509. love your videos
    2
  34510. SO HELPFUL. Thank you
    2
  34511. I remember that book
    2
  34512. Since I started my career in actuarial science I realized the great mathematical heritage that exists, it is true that it is difficult because it requires more time of dedication to keep things under control in mathematics, but the satisfaction that is gained with hard work to achieve The understanding and domination of them without a doubt is something that I would not change for anything, regardless of whether I study an applied area of mathematics (actuarial sciences) I always behave and approach problems as a great mathematician would do with all passion, discipline , formality and rigor. I congratulate you greatly for this great motivation, it is a pleasure to share this synergy with you and others.
    2
  34513. Your beautiful hair is your gift
    2
  34514. Your advice are practical! It helped me passed the midterm for real analysis😂
    2
  34515. Do you think this is a good supplement for a graduate level complex analysis course? I'm taking one right now and we are using Greene and Krantz book, but I find it a terrible read.
    2
  34516. Thanks 😊
    2
  34517. Do you live with a garden?
    2
  34518. The Math Sorcerer Nice. A life by the beach, wow, cool. That sounds better than my home life on a high hill, very remote from shops and rivers. Pity, no beach in my hometown. I have to walk long distance to shops and return home with aching limbs. Good exercises, though. Walking beats the gym. In town during covid lockdown, I sit on a bench with a table in a park, eat and read outdoors. Sometimes, I bring small picnic, extra bread slices for birds. That is my idea of relaxation. At home on a hill, I sit out in the back garden surrounded by tall trees.
    2
  34519. Thank you I just ordered it! Love your channel!
    2
  34520. Hi Sir, fellow math major here, will you consider doing a video about job opportunities after studying pure math. I really struggle to find well paid job after that much hard work (In Poland teaching earns you 4$/h so it's not a viable option for me) I know google has some cool positions but i'm really interested in your opinion on the subject
    2
  34521. Was watching the intro with lofi music on. It worked golden.
    2
  34522. Thanks dude - I needed to hear this !
    2
  34523.  @TheMathSorcerer  Great! I actually just bought that course a week or so ago. Thanks!
    2
  34524. This is very true as a person who self study 😂
    2
  34525. are the results rounded to significant digits?
    2
  34526. Great advice! You can accomplish so much more in your mathematical journey once you master proof writing. Thank you Math Sorcerer.
    2
  34527. Thnx Sir
    2
  34528. love your videos♥️♥️♥️
    2
  34529. You are my fairy god father from now on 💓!
    2
  34530. 60fps. yea
    2
  34531. I liked this video. Thanks for making it. 🙏
    2
  34532. You're a good person! always good advice. Bird is a cutie🦜
    2
  34533. Thank you Math Sorcerer!!!! ❤
    2
  34534. "What one fool can do, others can."
    2
  34535. Shabbat Shalom early morning howdy how. Thank you for sharing this Mr. Jedi of Math.
    2
  34536. Hi! How do you think Khan Academy compares to the books shown in this video that cover the same topics as Khan Academy (namely, pre-algebra, algebra, geometry, trigonometry, pre-calculus, calculus, differential equations, linear algebra)?
    2
  34537.  @TheMathSorcerer  Thanks for replying. I understand some people prefer one method over the other, but I was wondering if you think Khan Academy is too shallow compared to these books. I've been mainly learning from scratch on Khan Academy for more than a year now (I'm in Calculus at the moment), but I'm afraid my knowledge may turn out to be too superficial at the end of Khan Academy's courses. Have you seen how Khan Academy handles these subjects?
    2
  34538.  @TheMathSorcerer  What about brilliant.org?
    2
  34539. I might never enrol into universities or grad schools for maths and sciences, because of circumstances; I will nonetheless continue with self-studying at home. Self-studying is not as difficult as thought. I now have only six math books, Youtube, Udemy, Stackoverflow, Quora, etc — all those sources to learn mathematics from. My only problem is the dearth of online informations on mathematical notations or symbols. That is frustrating. 🙁 I already know the rudimentary notations, but not the arcane ones in further advanced mathematics. I learn notations mostly at Mathematics StackOverflow and MathOverflow. I learn them from their contexts. Few months ago, I had no idea how NUMEROUS the branches of mathematics, until I went exploring them at Wikipedia. There seems hundreds. For anybody interested in branches of mathematics, see below. MATHEMATICS Lists of Mathematical Topics https://en.m.wikipedia.org/wiki/Lists_of_mathematics_topics Outlines of Mathematics https://en.m.wikipedia.org/wiki/Outline_of_mathematics Areas of Mathematics https://en.m.wikipedia.org/wiki/Areas_of_mathematics Glossary of Areas of Mathematics https://en.m.wikipedia.org/wiki/Glossary_of_areas_of_mathematics. PHYSICS Branches of Physics https://en.m.wikipedia.org/wiki/Branches_of_physics Outlines of Physics https://en.m.wikipedia.org/wiki/Outline_of_physics Index of Physics Articles https://en.m.wikipedia.org/wiki/Index_of_physics_articles Branches of Science https://en.m.wikipedia.org/wiki/Branches_of_science Glossary of Physics https://en.m.wikipedia.org/wiki/Glossary_of_physics Mathematics StackOverflow https://math.stackexchange.com MathOverFlow https://mathoverflow.net Physics StackOverflow https://physics.stackexchange.com
    2
  34540. My problem is see interest in every mathematical subject, the reason is the aplication on every day live to solve problem. My graduation is on Managing and I would like to specialize in another major or master in math the main problem in that is "money" and also time.
    2
  34541. Yea, it really brings the pain.
    2
  34542. Thank you for sharing this!! I learn a lot.
    2
  34543. Sir, this is harshit from india sir i really your biggest fan i love maths i am a 9th class student sir i want to talk with you sir plz , make a time for me from your precious time sir i dont use social media so much but sir here i will wait your reply sir we can conversate by the medium of yt comment section i will wait for your reply sir i have some doubts for which you is my GURU it means that you are my heartfull teacher . Sir plz reply me . I want to talk to you . Waiting for your reply sir .
    2
  34544. Nice review! I wonder if this book is on a similar level as Herstein's Abstract Algebra book, not Topics in Algebra.
    2
  34545. i wish you do more and tnx for the motivation you give for each video
    2
  34546. I like your funny words magic man
    2
  34547. Thank you
    2
  34548. Damn those cults mathematicians
    2
  34549. ur the goat brother
    2
  34550. This is much better. I can now see your writing better in bright yellow and sky blue. Good choices of those two colours. Good size of letters and numbers. Red is nearly lost in black background as there are some colour-blind viewers who see red as black. I am night-blind to some degree. Next time, please choose gaudier red or neon pink. For inks, prefer neon colours to medium/dark colours.
    2
  34551. Thanks for the motivation.
    2
  34552. or microdose
    2
  34553. Loving this video and the sound effects haha thank you Math Sorcerer!
    2
  34554. Btw you still rule. This video was awesome.
    2
  34555. Pound for Pound, the BEST EVER video on YouTube
    2
  34556. Bro is this how you living after a math phd? Reminds me of the move the black knight when Martin Laurence goes back in time and finds the knight living in a tent lol. All jokes aside it looks peaceful.
    2
  34557. Bro no longer confined inside his library and actually touching the grass
    2
  34558. I passed Calc with a solid A, and this still hurts my brain. :(
    2
  34559. Thanks a lot ,it helped ,God bless you sir
    2
  34560. my moms a mathematician, I think its partially true. They apply this elitist perspective in many aspects of their lives 😪
    2
  34561. thank you so much!
    2
  34562. Hmm.. not enough linear algebra books ;-) In all seriousness, I self-taught freshman year using Larson's Elementary Linear Algebra and I think it served me well!
    2
  34563.  @TheMathSorcerer  glad you think so:) my friends all took linear algebra while I chose differential equations. So that summer, I felt left out and taught myself lol
    2
  34564. 2+2=5 That’s the only problem people are trying to get me to understand in 2020. I found a great book # 1984. It’s very helpful.🤔
    2
  34565. What would your advice be to remembering theorems and proofs? I find it difficult to remember theorems and memorising the content of what i did after a few weeks or so which leads me to having to redo some of the questions that i have already done, i mostly memorised the ones i attempted myself but forgot the method of the ones i looked at the solutions for...
    2
  34566. You can't differentiate a sequence, its a discrete function
    2
  34567. Could you elaborate on that? I don’t quite follow.
    2
  34568. thank you sir saved my life
    2
  34569. You are sooo right, I realize it more as time passes
    2
  34570. That's math at my level LOL!😀
    2
  34571. Thanks, Math Sorcerer I am always interested to hear you talk about math
    2
  34572. I really needed to hear this. Thank you!
    2
  34573. when did Jeff Bezos grow hair and star explaining calculus??
    2
  34574. facts!!! thanks for the video sir <3
    2
  34575. When you read through a math book, how do you do it? Is it the same way as others or do you do something different?
    2
  34576. I was expecting real analysis lol
    2
  34577. Finish?
    2
  34578. thats what jeff bezos did before he got rich. huh
    2
  34579. Next book should be A course of modern analysis by Whittaker
    2
  34580. Thank you❤
    2
  34581. One auxiliary problem one must always solve is that of fatigue. Just call it a day, and next morning, in the showers: Voilà!
    2
  34582. I have no book through which i can understand number theory please help sir
    2
  34583. what kind of method is that??
    2
  34584. Have you seen Abstract Algebra: Theory and Applications by Judson? I'm looking for a good undergraduate text suitable for self study, since there are so many good books, I still don't know which one to pick. I receive Hungerford's graduate book as a gift and It is certainly easy to read and understand, however the exercises are (at least for me) or too easy or incredible hard, I would like a book with more variety of exercises, not quantity but a good selection of them (like spivaks books).
    2
  34585. Just looked up Epic Sax Guy and now it's stuck in my head. Thanks a lot! Lol 🐴
    2
  34586. GIVE THIS MAN A NOBEL TEACHERS PRIZE!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
    2
  34587. Quadratic equations especially, but about anything algebraic or geometric is awesome
    2
  34588. Needed this simple and easy to follow explanation, Thank you !
    2
  34589. Third and 5th point were the best. People think that if you have more flexibility you will automatically be more productive and happier. Nothing could be farther from the truth. If you have a schedule and a goal, then you have the ability to achieve it. If not however, and you are just freely going around, you won't achieve anything. You will be like peter pan. Having a schedule not only sets up the time, but also gets you the idea that you must achieve something. However I would recommend you don't make a huge huge schedule. While planning things out is good, don't do that on the entire day for every minute, because that way you won't get anything done, and you will be miserable. Next thing is that people hate failure in math. I don't understand that. While it is not nice, you shouldn't expect to do well every time and make no mistakes. It takes time to learn new things. For instance I just recently started learning chopin's revolutionary etude on the piano, and that is probably going to take me about 2-3 months to learn full way, never mind perfecting the etude. So trying to expect that you will be successful every time is as stupid is saying that life is only about pleasure. Living under both of those ideas will make you move away from the very goal you want to achieve. You need a reason too. "A man who has a why can bear any how"-Friedrich Nietzsche. If you have a reason for something, you can do it almost no matter what. Speaking on the lines of philosophy, math is like an art, but you have to be good at it to appreciate it. Math is in its own category. It is not a subset of anything. It is sort of like art, but also like science. Math allows us to take the upper level of reality and translate it down to the humanly perceivable. So in that sense it is like art. Also like science since it allows us to perceive reality on a human level. The mystery math will always puzzle the mind of the very strongest. In the meantime however, go solve some integrals and derivatives. :)
    2
  34590. Thanks👼
    2
  34591. While in class integral calculus seemed easy when I was just focused on that perticular day. I didn't practice and it evaporated. Later i tried to relearn by understanding it and nothing was making sense. 20 years since then I am still afraid of it. May be if I had this very advice then. Understanding develops over time, it's not a prerequisite for maths.
    2
  34592. I'm glad I found this video. I'm going back to college at 31 and starting over because customer service and admin work has me burned tf out. I'll go back to this video every time I feel discouraged about anything, not just math. ANYTHING TO GET TF OUT OF WORKING WITH CUSTOMERS AND THE GENERAL PUBLIC, I hate those entitled mfkrs 😭
    2
  34593. Thank you!
    2
  34594. For the last point: There are a lot of homework help and other student help servers where you can help out students with their concepts. There are also a lot of forums online.
    2
  34595. If you are looking for the best calculus book, here it is! Get the book "ADVANCED CALCULUS EXPLORED" by Hamza Alsamraee https://amzn.to/3l6POmK
    2
  34596. Thank you so mutch you help me really
    2
  34597. You are so mean dude ,I will completely lose my class mates in this week 😆, I want to tell you I love you ma friend ❤ you don't know how much you helped me to pass my degree in math with those short videos.
    2
  34598. Nice to share
    2
  34599. Dang I thought this would be about abstract algebra. I guess 30 min a day wouldn't hurt there either
    2
  34600. 👍
    2
  34601. can u explain to me why is y'' + xe^y = 0 not linear
    2
  34602.  @TheMathSorcerer  ty so much
    2
  34603. Good video! I always enjoy your book reviews.
    2
  34604. Awesome vid! Any tips for how to study for discrete math?
    2
  34605. I suppose one reason might be that the authors think that if you cheat and just look up the answer then you underappreciate their effort to rigt a good book. Like "If you guys cheat why did I write this in the first place? Why did I bother?"
    2
  34606. It's going to be challenging for me, but I'll try everything on this list.
    2
  34607. ...by 4.12 you can obtain 4.13 and by applying 4.07 you can easily get 4.18, the remaining demonstration is left to the reader...
    2
  34608. I brought an old math book from 1907 today (:
    2
  34609. U lit look like a reincarnation of Newton , love the lil cute friend on the shoulder btw
    2
  34610. Functional programming is cool
    2
  34611. Hahaha love it, but it bring back memories:(
    2
  34612. Jeff bezos with hair
    2
  34613. It’s a very good point you make here, also keeping many laws and things in mind while working. Like the other day I read a chapter about sets, relations and equivalence relations because my professor specifically asked me to, (he knows that I am very forgetful and he made me realize it will become a big problem down the road if I don’t fix it now) ....and I was able to see something one of my classmates couldn’t because of it lol. Usually I guess all of my answers in class lol as I feel that I have literally no idea what I am doing lol. But since Ive started reading the book, I can feel that I’m getting more and more relevant ideas. So now, I do this thing where I make word documents of every massively and minutely important thing we learn in class or that I learn by reading the book and those are my notes. (Definitions, theorems) It helps tremendously, because now, when asked what the closure of a set is, I can look and tell you instantly that is is A union A’ muhuhuhuhahahaha.... Also, since my notes were done in my personal style, they are less intimidating to read that some sketchy looking ancient textbook lol
    2
  34614. Very impressive. Not like other books because it can take hours to get through a few pages..
    2
  34615. such a helpful video. I have been grinding calculus and algebra for 10 days and you're so right i wish I watched this 10 days ago haha. Thank you.
    2
  34616. Time message!!! Thank you so much....I realise how beautiful mathematics can be in our daily living...The working of the entire Planet is based out on the strong foundations of mathematics ...People give up on Maths as they find it very hard and too boring but I believe if we continue sitting with that boredom and continue working on learning this subject ,only then can we appreciate its how beautiful Mathematics can be....
    2
  34617. damn hate to be second
    2
  34618. My classmates need someone to tell this to them, but they don't deserve it for never give it importance to the school so im nice being One of the only 2 that take it seriously Nice vídeo, just today i found your channel and now you upload, very good.
    2
  34619. I saw this type of problem in Wittgenstein's Tractatus. You explain it so much better than most philosophy youtubers.
    2
  34620. What type of math topics should I learn in order to become a cryptographer?
    2
  34621. Couldn't agree more
    2
  34622. FYI: F.R.S- Fellow of the Royal Society. So, yeah not a slacker.
    2
  34623. Bought this book for $4.99
    2
  34624. Go to your nearest light switch. Switch it off and then on. The next step is to stand as close as you were before to the light switch and then with all your might try to turn the light off using worry alone so you are not allowed to touch the switch. This simple lesson teaches you about the overall effectiveness of worrying. Planning ahead is a much better solution, eg: how can I....? I hope this helps.
    2
  34625. Love these book reviews video btw How do you keep you phone to film the previous videos? Did you buy a stand or anything?
    2
  34626. Sir, your laugh is really cool. I love it....
    2
  34627. Thank you very muchhh. I am from Nepal .
    2
  34628. Thank you, man, I needed that.
    2
  34629. Is this, "TheBeautifulMind" Reference when you write all your calculation on window and doing it all behind the window xD
    2
  34630. I need help I just got into hs and it friggen sucks, I know my sub add multiply and divide’s but now they keep pressuring us into the coordinate plane and crud about algebra, I know I may be lazy but I can’t think of anything I need the slope intercept form for. And this is only the easy part of this, I know when I’m a senior in three years imma be done for
    2
  34631. Yeah hopefully I get to take it! Also, hopefully this doesn’t sound weird but do you know how writing is generally used in math related fields? It’s for an English project and I am considering becoming a Mathematician for NASA.
    2
  34632. Ok thank you for responding! And would you say grammar is still important in math related jobs or no? (Last question I promise😅)
    2
  34633. where have you been i've been searching and watching so many videos and longer videos but you just killed it in 5 min thanks a lot from the future of Sep 20, 2014
    2
  34634. And please remember people Geniuses don't comb their hair
    2
  34635. Man, awesome content, keep it up, Sir!
    2
  34636. You are amazing Thank you 🙏
    2
  34637. Bravo!
    2
  34638. ... this reminds me my 3rd year college math back in 1993: topology, metric space, t1, t2, t3, t3/4 spaces, compact space, alexandroff compacrification, etc. Very cool math!
    2
  34639. A really good special relativity book is special relativity by AP French, used it in my special relativity and math applications class
    2
  34640. you the best of the best
    2
  34641. what if the problem given is g(x) should I change f into g? please notice me
    2
  34642. this video is so helpful. Clear and Easy to understand. nice job
    2
  34643. Loving the Office Space reference.
    2
  34644. thank you sir It helped me in middle of solving the problem
    2
  34645. My god hahah it's so weird because I really found value and a method that really work with skipping class. I never skipped class before but never felt like I got anything out of the classes but also even if I take notes I cannot always keep up taking notes for an entire 3h classes and sometimes my writing is not even readable.. So I approached it with a different strategie especially when the teacher isn't very good. While people waste 3h on trying to follow what the teacher is showing I double down on practice. And on my off time in between homework I learn the theory at my own pace, very important because we all learn differently sometimes the teacher is too slow for students and sometimes he is to quick.. by doing it myself I take the time needed for the parts I don't understand and sometimes there are concepts that I learn very quickly and don't need to spend and extra hour unfolding it, through practice I can really fill most of the gaps. Had straight As ever since making that switch..
    2
  34646. I think passion is what keeps you going and eventually surpass your limits, no matter how many times you failed or felt overwhelmed. I believe passion is the ultimate source of power known to humankind.
    2
  34647. Used to love playing with limits when i was a student at kumon and it helped a lot when i was at university studying it in the first year of calculus. Thanks for sharing it with us 💓💓 loved the example.
    2
  34648. Pencils are lame. Just cross stuff out and make a final draft
    2
  34649. Hello Math Sorcerer:_math: After Completing Discrete Math Book can I start Proof Writing book without studing Algebra and Trignometry. And is Proof Book by Daniel J Velleman Good proof book to start for beginner ?
    2
  34650. It means "God helps the one who wakes up early"
    2
  34651. Thank you so much
    2
  34652. 5th semester, taking 4: Topology, Abstract Algebra 2, Probability Theory and Complex Variables
    2
  34653. Topology is hard
    2
  34654. This is just fantastic thank you so much from the bottom of my heart
    2
  34655. this is how i want to live when i eventually retire
    2
  34656. 6:50 boy those do look quite messy 😅
    2
  34657. 9:15 Even if I had to go back and take algebra again, if I had to use this book I'd be horrified, I probably wouldn't be where I am, I may be where terrance tao is! LOL
    2
  34658. What makes me think this guy is into heavy rock stuff ? )
    2
  34659. Oops Thankyou word is not enough for you🎉❤❤😅
    2
  34660. Hey sir, do you think we can use these tips to study other subjects like physics or chemistry maybe?
    2
  34661. Love this guy.
    2
  34662. I believe consistency is the key to not only math, but anything in life. I would also like to thank you for putting out your lectures for others to learn from. I have watched your DE 2.3, 2.4, 2.5, and 3.1 videos so far. I dont think I have seen a video on nonlinear models from you, but its the next topic i need to cover. I love your energy and corny jokes, please keep this up.
    2
  34663. Thank you
    2
  34664. Any suggestions about PDEs?
    2
  34665. great advise on Math(s).. thanks so much !
    2
  34666. I dont know if i am the person to give it, but since i am here. Refresh fundamentals, learn why what you dont understand, is used. Solve it in another way, ecvivalent/proof. Vissit what kind historie, reassoning, people that have worked on the field. Its a pretty big world, with a rich historie ! :)
    2
  34667. the way he is holding the pen...
    2
  34668. Taking probability and a class in python and r in data science. I was signed up for advance calc 1 but it was at 9am and didn't feel like driving across town to make it that early.
    2
  34669. 1st comment ❤🎉 merry Christmas 🎅 🎄
    2
  34670. thank u man!
    2
  34671. It is always worth doing things that only humans can do like music, art , math , sports etc. It makes us different as a species. Life is worth living when you do more such things than just work and work or live up to the expectations of the society.
    2
  34672. felt it
    2
  34673. You look sad in your video. Are you ok man??
    2
  34674. your vids are Great! I have mind bender for you guys, a buddy of mine is on scholarship and work so naturally his grades suffer we have taken many math classes together and I belive if ws given the opportunity to just focus on math would do great. but not sure what to tell him about graduate school given his GPA is not the best
    2
  34675. Hi, just wanted to let you know that your proofs with sets and proofs with functions course links in your desc are swapped. Have a nice day!
    2
  34676. How did you know that people are fearing to this technology called Al
    2
  34677. Hahah
    2
  34678. Why has this teacher taught me more in an hour than my professor has in 2 months????
    2
  34679. 'the top score was a 54 so good job' lmao too real
    2
  34680. I would love to see the workout video! I workout excessively and it definitely allows me to stay consistent in other aspects of my life.
    2
  34681. I see you have Joe Gallian's Abstract book. I used a pre-first edition at the University of Minnesota, Duluth where he taught. The book I used was just copied chapters, not even bound yet.
    2
  34682. My motivation to learn math is graduate from UWaterloo ASAP😂
    2
  34683. Thank you! Very helpful
    2
  34684. Am I stupid for getting really excited to learn some math after watching this, then searching the prices of each of these textbooks on Amazon and becoming really disappointed?
    2
  34685.  @amritsahota8110  I WILL kill it! Thanks! I'm gonna take a run to get my brain working
    2
  34686. BRUAHAHAHA
    2
  34687. This video blew up the book prices 😂
    2
  34688. Of course the sorcerer has a cockatiel!! I have two :)
    2
  34689. I came to these videos through the "no results despite hard work" video, I'm a League of Legends player and seek to get good at the game. I'll start to view my teams and opponents as classmates from now on, instead of dead weights I carry against the enemy. Thank you so much, I went through a tough time and managed to pull myself out thanks to your ideas.
    2
  34690. What a cool idea!
    2
  34691. Calculus 7! I would love a class like this!
    2
  34692. Spotted ur book on securities analysis wizard. Do you or have you studied stochastic volatility models?
    2
  34693. Please make a video on branches of Mathematics
    2
  34694. cover looks like that of a phonebook or some kind of catalogue 😂
    2
  34695. Most Inspirational Channel Ever !
    2
  34696. Self study is NOT easy. Takes a lot of effort and motivation.
    2
  34697. Great video, thanks for inspiration
    2
  34698.  @TheMathSorcerer wow I feel kinda star struck that you actually answered haha, I am big fan of your videos, thank you!
    2
  34699.  @carlosdanielramos8284  comment and he'll respond. He talks to me more than most of my college friends. Really quite sweet, always laughs at your jokes, always helps out when he can. He's the friend we all need in Covid-19 times. Good night!
    2
  34700. I love your channel - thank you so much for making these.
    2
  34701. Thank you for sharing your knowledge.
    2
  34702. This vs serge lang?
    2
  34703. Greats nuggets of gold
    2
  34704. Hello, would you be willing to make a video on mental math skills? Essentially, what I'm asking is if you could make a video on repetition for mathematics and developing those mental math skills to be able to solve mathematical equations in your head. I love your videos also, great resources and books!
    2
  34705. Thank u sir
    2
  34706. I like the book "Linear Algebra Done Right" by Sheldon Axler than any other linear algebra book. What about it?
    2
  34707. I’m just digging the penmanship!
    2
  34708. A great vid as always
    2
  34709. Do you have a video or advice on how to overcome a bad teacher? Besides subscribing to your channel, which I already have.
    2
  34710. I got 8 of them
    2
  34711. Can you give me any 😊
    2
  34712.  @asifghazali5191  Good for you ❤️
    2
  34713. Thank u
    2
  34714. Thanks! :D
    2
  34715. Inspiring!
    2
  34716. You're right, the book is cool. The book is wonderful!
    2
  34717. Wow. Thank you for pointing this out! Whenever I slow down when doing a problem, my brain just forgets how to do it. Speed and efficiency is key!
    2
  34718. Thank you :> for the help
    2
  34719. Biggest key: get off the phone. Limit screen time to 2hrs MAXIMUM per day. What you do with the rest of that time will be infinitely more productive
    2
  34720. math is by necessity an individual struggle. study groups tend not to help as they obstruct concentration so i advise going to recitation classes and also use a professor's office hours with good judgment of course ;-)
    2
  34721. Damn I thought it was going to be in 18 minutes Good vid though, I hate how institutional learning does so little to lay out the math pathway.
    2
  34722. Thank you sir, these life insights are so inspiring and motivating.
    2
  34723. Yet again... another great post!!! 🍺cheers
    2
  34724. That's probably one of the hardest things I'll have to accept. It's such a hit on the ego 💀 (ring theory? no, I'm still trying to make some sense out basic trigonometry)
    2
  34725. Is this available in english lol.
    2
  34726. Thank you so much! I've just started a book called 'Ordinary Differential Equations' which is a dover book. I had just finished two books, one on pure maths and one for mechanics, both at advanced level and it's really helping me understand this book.
    2
  34727. Thank you very much! I also believe that learning is non-age related.. I mean yeah, I guess we slow down a little, but that's it.. It's more related to the will to learn and change something in your life, and we can do this till we die!
    2
  34728. I ate sigma pie?
    2
  34729. Thanks sir
    2
  34730. wrote this before the ending of the video lol
    2
  34731. Thanks
    2
  34732. in austria with the centralized Matura at school, math professors are forced to act like this
    2
  34733. False Evidence Appearing Real
    2
  34734. It is not only about time, but timeS. And much rather listening and actively challenging every piece of information, knowledge and statement, dissecting to question, answer, proof and what the thing is good for. The guy that was aware of a+b=b+a meaning the same thing as + is commutative must have learnt about it before and remembered... as this word itself is quite arbitrary to just "come up with". Mathematical language has a lot of parts which don't readily link to everyday language and usually have a historical origin which has been completely logical at the time of the term's invention but has little connection today in the age of computers and calculators... but just as an example, calculator comes from calculus, which means small stone in latin as those were used to count and model numbers in ancient times. Also, apart form the abstract and mechanical aspects of math it really helps to be open to connect it to daily events and algorithms we call habits. It is so easy to spot yet hard to realize that people having problem with math have misunderstood some basics... From what I've learned through teaching "challenged" children that they find math boring and skip parts as there is no meaningful connection to their lives, no experience of ever succeeding and it is no wonder they hate it on top of that they are bad at it... which is a viscious cycle. One has to be good at math to succeed and that takes its price: attention and rigor on oneself.
    2
  34735. Thank you!
    2
  34736. First
    2
  34737. Now this was an interesting problem
    2
  34738. This is my sign to start studying for calculus exam in one week 😭 help
    2
  34739. i love you.
    2
  34740. We use j for the imaginary number as the letter i is almost certainly already used for the current/amperage.
    2
  34741. holy sht you look like Jeff Bezos
    2
  34742. 4th thing: Instead of visiting to a jungle, you should give a review of beautiful Mathematics books at home 😊😊.
    2
  34743. WTF is League, Rugby League Football?
    2
  34744. Thank you for these videos! You are seriously saving my sanity <3
    2
  34745. nice
    2
  34746. Lovely maths. I missed this yesterday. Thanks for sharing. And thanks for lessons on symbols. Surjective is a new word to me. I am looking up surjective (onto) in Youtube & books. I see you have another video on surjective (onto). https://youtu.be/ojHAAqgW1_M
    2
  34747. I hope your advice will save many students future.
    2
  34748. I'm definitely a perfectionist. If I don't get 90%+ on an exam then I get really sad for a few days lol.
    2
  34749. Thanks for the anecdote. That being said, whatever happened to the skinny, goth kid?
    2
  34750. Mathematics never ends
    2
  34751. lol
    2
  34752. why can't my prof be this good
    2
  34753. I needed to see this. Good motivational vid.
    2
  34754. This is literally not funny.
    2
  34755. Your comment about always wanting to study something besides what you are currently taking a class on really resonated with me. I thought that was just me, I’ve never heard anyone else verbalize that. Great video
    2
  34756. Professor Zill is a very good writer. You may also look at Ross or Prima.
    2
  34757. I was confused between opting biology and maths in my school , thanks bro you Made it easy for me.😎
    2
  34758. Thank you I did not understand until this video!
    2
  34759. How about Axler's Linear Algebra Done Right?
    2
  34760. What about Serge Lang's Basic Mathematics
    2
  34761. Thank you Sir ♥
    2
  34762. Thanks this was a big help
    2
  34763. You should take it back to the library)
    2
  34764. Generating functions are the coolest thing ever.
    2
  34765. You inspire me to keep working hard in my real analysis course, thank you!
    2
  34766. "If you are concern about your IQ then you are not smart enough." - Stephen Hawking
    2
  34767. Thank you for sharing
    2
  34768. Was it okay that I played around with transformations of functions while watching this video?😉
    2
  34769. this was so helpful!! thank you!!!
    2
  34770. Marian Gloser So did that Russian guy. Keep it up.
    2
  34771. I love these motivational segements
    2
  34772. very nice
    2
  34773. Diamond in rough
    2
  34774. The master is back.
    2
  34775.  @TheMathSorcerer  Can't wait! You're really making me a mathematician!
    2
  34776. Reminds me of the book Higher Algebra by Hall & Knight!
    2
  34777. Can you do a review of Kelly's general topology?
    2
  34778. Yay! Good job.
    2
  34779. 🙏🙏🙏
    2
  34780. I love you😍
    2
  34781. I worked with a teacher who was a mathematician and he considered himself to be a super nerd/Einstein: the smartest critter in the school !
    2
  34782. Ngl my fraction game was a bit weak (for adding and subtracting) but my intro to circuits class had us do fractions so much I am golden with them lmao
    2
  34783. You're actually amazing
    2
  34784. Please upload part 2
    2
  34785. Like it 🤝
    2
  34786. Should I keep pondering for a long time on tough problems or should I move on? Is doing a few tough problems better then doing a dozen moderate/easy ones?
    2
  34787. Youre really coming at a important time of my life. Thank you.
    2
  34788. i believe you
    2
  34789.  @TheMathSorcerer  which people? Let me at em... I'll fix em
    2
  34790. https://www.youtube.com/playlist?list=PLO1y6V1SXjjOEDYI5ywOL07KiHB-l6F1D
    2
  34791. I agree, that challenge when it change to integration didn't arise until applying these principles in three dimensions during Calc III.
    2
  34792. As someone learning these now... my practice assignments are very similar lol.... ive gotta a bad feeling about my future tests.......
    2
  34793.  @TheMathSorcerer  omg u actually replied?! Haha thanks so much man!
    2
  34794. THANK YOU VERY MUCH, finding Yp for me is the hardest at first since what I've studied is stating that when there are same roots, you multiply by x and I have no idea what roots they are talking about. Now it is clear that the roots of assumed Yp and the roots of the complementary function. Thanks a lot
    2
  34795. Should a mature student, 46 years old study math ?
    2
  34796. I agree practicing for speed is probably most important part of becoming successful in academics. But sometimes I have a feeling that speed is not the problem. The problem is poorly benchmarked test where is nigh impossible to complete it in timeframe you are given. True it doesn't happen often but when it does it's pain to deal with.
    2
  34797. AMAZING!
    2
  34798. uh why are the captions japanese LOL
    2
  34799. I’m studying astronomy on Kahn academy and learning a lot about black hole and about to buy a Astronomy book.
    2
  34800. Hardest topic for me 😂😂
    2
  34801. Lmao, maths have no end, stop spreading this lie!
    2
  34802. ❤❤❤❤❤
    2
  34803.  @TheMathSorcerer  thank you. I certainly wish I would have had these kinds of the videos available to me when I had started college back then YouTube was a bunch of cat videos and elephants at the zoo lol.
    2
  34804. Imposter!
    2
  34805. WOW !! INTERESTING !!
    2
  34806. Is the latest 12th edition really only available in "loose leaf" binding? So much for keeping your textbooks through adulthood. 😢 Probably worth it for practical use during college, and similarly glad to see positive reviews for the Kindle edition. But it's a sacrifice, and one that seems designed in part to eliminate the secondary market.
    2
  34807. Very interesting!!
    2
  34808. Thank you
    2
  34809. I'm getting flashbacks to multivariable!
    2
  34810. top class instructor
    2
  34811. thanks sir !
    2
  34812. I can confirm, i used to hate math because a bad experience on elementary school, i was so bad at them that i was almost graduating from high school and i didnt know how to solve a simple equation..., after that i had to choose a career, something told me go for physics, and i went for it but i failed the admission test, then i felt so bad with me but i knew i could pass it, so i started to study harder and thinking "math maybe isnt that bad", the next year i took the test again and i passed it, but i had fear not being enough to make it trought the career, in the end i ended loving math and physics, but the important part is to believe in yourself and be patient and hard working
    2
  34813. nice video!
    2
  34814. this is so me, but it needs more black coffee and dutch swearing and terribly cliche tshirts of old metal bands
    2
  34815. Second🫣
    2
  34816. Getting a second perspective (or more) on a topic in addition to the required course text is very helpful.
    2
  34817. Thank you!
    2
  34818. What a modest person
    2
  34819. Thank you, life savior!!!!
    2
  34820. 6:00 "aged 104" on Henri Cartan
    2
  34821. ✌
    2
  34822. Wow, thanks for this video. I am a sophomore in high school taking Calc B/C and I've been wanting to start self-studying for the past few months. Your videos and passion have inspired me to devote an hour each day to learning something new in the incredible field of mathematics!
    2
  34823. We used Fletcher and Patty, "Introduction to Higher Mathematics" for Math 300. But, I will download this book.
    2
  34824. YouTube is recommending some wild videos. Guess I'm learning Maths now
    2
  34825. Putting brackets around the 4 in exams(4) was enough for me
    2
  34826. What a boss !
    2
  34827. Excellent book! I'm studying for my final test with it. I feel more solid, and the exercises have progressive difficulty so feels nice to do all the exercises.
    2
  34828. I needed sb to tell me that🙏😺
    2
  34829. Thanks, for the video. I am now going to learn matrix algebra and statistics.
    2
  34830. It ain't much, but it's honest work
    2
  34831. thank you, it did help someone!
    2
  34832. This is the funniest lecture I’ve ever seen. Thanks for teaching me what my actual teacher hasn’t been able to do in over 4 classes
    2
  34833. This is more nerdy than the guy at Spag Union Preparatory School showing off the Calculus Book in Diary of a Wimpy Kid
    2
  34834. Soo... I just graduated with an undergraduate in Physics, but we never learnt pure and rigorous mathematics. I really want to go back and relearn everything from scratch, this time rigourously! Hopefully some of these books will help!
    2
  34835. :D This is hilarious bro.
    2
  34836. Yes. I have always loved hiding my hard work. I often do it in the dead of night behind closed doors. It catches people off guard.
    2
  34837. u r a god
    2
  34838. Okay, so (a+b)^2 equals a^2 + b^2 , right? ACE
    2
  34839. Thank you sir
    2
  34840. No. Physicists are elitist though.
    2
  34841. Im 48, an artist watercolor painter, and still pursuing to get a degree in electronics engineering, rather old though, but my passion is engineering, if no company hires me after graduating, because of my age, thats ok for me, i will be a full time artist , atleast i have a degree
    2
  34842. Thank you!
    2
  34843. lolllll
    2
  34844. This channel is great!
    2
  34845. thank youuu
    2
  34846. Please review the following books - 1.mathematicial methods for physics and engineering by Riley Hobson and bence 2.mathermaticial methods for physicists by arfken Weber and harris
    2
  34847. Thank you! So easy to understand
    2
  34848. this is scaringly accurate over here
    2
  34849.  @TheMathSorcerer  I'd give anything to have you be my discrete and cacl professor 🥺
    2
  34850. This video is the truth!
    2
  34851. I am constantly telling people to have a look inside a 1930s 9th grade math book… … Trig.
    2
  34852. am dying🤯🤣🤣🤣 seeing you like this oh goddd😂😂
    2
  34853.  @TheMathSorcerer  the video is really cool i like it the way you summarised everything, I kinda been looking upto something like this. Straight upto the point
    2
  34854. that was huge..
    2
  34855. His eyes enough to make me focus
    2
  34856. My problem isn't speed it's motivation and underestimating the amount I need to do.
    2
  34857. great video! thank you
    2
  34858. so x is in the opposite direction, but y is still in the same direction?
    2
  34859. Honestly, Understood Thx sir....🔥⚡
    2
  34860. I just wanted to say I really love your channel. Everything from tips/advice to motivational material to your own personal experience. I’m currently a junior studying math and I want to go to grad school but a lot of times I get overwhelmed or discouraged. Your channel is helping me push through. So again, thank you and I hope you continue making content!
    2
  34861. very good.
    2
  34862. Jeff Bezos with long hair
    2
  34863. Youve probably heard this before but with that amazing hair, you somehow remind of of Einstein and Newton mixed, lol. Although I am assuming Newton wore a wig.
    2
  34864. Great vid! I’m in precal right now so I wanted to look ahead and see some examples of what to expect in Calc 1. Thanks for the lesson and I really like how you explain things
    2
  34865. I m a tenth student from India. And this helps
    2
  34866. I don't even live in states and I know this professor Karen
    2
  34867. It looks like a wonderful, pleasant book to work out!! :)
    2
  34868. oh man, I've been using "it's" wrong for 20 years.
    2
  34869. Thank you!!! I really enjoy the subject and I can’t wait to learn calc 2, I have the derivatives down, chain rule, product rule, QR, limits and trig never gave me a hard time either. Funny part is I actually think that was the easier part of doing the calculus. I’m much like you where I have to read it over and over, what got me is related rates, optimization and some of the integration rules towards the end.
    2
  34870. I am currently studying in 12th grade(in india). I want to start learning mathematics by myself , so- 1) where and from which book should i start, i currently have basic knowledge of number theory,geometry and conic , i have studied calculus one (single variable). 2)to do further study, should i need to watch lectures online and take up some courses or the books are enough to build up my conceps
    2
  34871.  @TheMathSorcerer  thank you very much
    2
  34872. 💎✨👌
    2
  34873. Excellent I wouldnl say only one thing if person like you change maths so simple then education won't be considered as business. People tell hell lot of things about school and passing exams and create politics. Moral of the life is simple but most human being complicates things and the system. God bless with good health. Last thing in Amazon your 7 book series don't have the real superchaged book. I see the different cover there is that the old version?
    2
  34874. Just differentiating the whole thing into one dealing with individuals and the other with groups, made it a lot easier to understand . Thank u so much 💕
    2
  34875. what do you think of using chatGPT to help teach math?
    2
  34876. I'm jealous. I wish I had this book.
    2
  34877. MATHS
    2
  34878. By the crazy hair, this guy is a genius.
    2
  34879. Thank you!
    2
  34880. Graph theory is weird
    2
  34881. For me I have been always get burnout. What helped me to be consistent, which I consider by the way, the most important thing I have ever discovered is zen meditation. Maybe it is a personal thing, because of my past, or maybe it will work for all of us, I don't know.
    2
  34882.  @TheMathSorcerer  Yes Zen meditation, and mindfulness work very well for burnout. I wish you the best Mr. Math sorcerer 🌹🌹
    2
  34883. hello! quick question if there is only one of them that is injective, will that make the composition injective too?
    2
  34884. is there a way we can make a formal proof for this? also thank you so much for the reply!
    2
  34885. very nice proof thank you :)
    2
  34886. Innumerable books and solving innumerable problems. Got it.
    2
  34887. I have been a fan of math since the age of 4, i would get dad to writr me up some math problems on a piece of paper then have him check my answers, hope my boy has the same fondness for numbers and problem solving
    2
  34888. Please take a look at jee maths IIT
    2
  34889. truly the most amazing wiz, how dare you teach us our ways
    2
  34890. I have 5 favourite places where I study maths: 1). Kitchen where I snack while watching tutorials or reading books. 2). Bedroom. I sometimes wake up to watch late live tutorials. I read books in bed as well. 3). Art studio, now too seldomly used since my work in a shop. This studio is also be my office for studies and library. 4). Shop where I take advantages of the lean, quiet times of trade and use all the free minutes for studying online. 5). Restaurants on Sunday, my idea of relaxation. There, I watch Youtube on my vintage iPad 4 with my headphone on. I love studying in different atmospheres.
    2
  34891. Great!! Fan from India. I really like your teaching 🤩
    2
  34892. 45+45=135.
    2
  34893. My first instinct was to assume that everything would impossible to understand but it seems to be quite legible. Thanks for sharing such a find!
    2
  34894. Hi I'm new in your channel and I wanted to ask you, what is your opinion on digital books? Sometimes I feel like I get tired faster and that I don't retain as much information as when I read a physical book.
    2
  34895.  @TheMathSorcerer  Another question. What is your opinion on continue reading a book i'm not fully understansing? What advice would you give me to improve my comprehension? Thank you
    2
  34896. That's really helpful 😂
    2
  34897. gracias hermano
    2
  34898. The part of fun is. We practise maths to pass our tests Thus, sir, will this also make this math our matthy (maths+happy)
    2
  34899. In abstract Algebra form me the problem is either a matter of a few minutes or of an hour at least. If it doesnt click you really gotta do some more research in that subject. For linear Algebra you can almost always brute force the problem if that makes sense.
    2
  34900. One thing came to mind. Self study usually implies that you are interested. And well, it's all you need to learn something. Interest
    2
  34901. Thank you for helping me.It's really a simple, wonderful explanation, and I got it in a minute and a half.
    2
  34902. saving this on my notepad
    2
  34903. Awesome :)
    2
  34904.  @TheMathSorcerer  thank you bro , sometimes I struggle learning certain concepts , like it's easy for me to apply things and answer questions... but it's so hard to understand maths notes , any tips to understanding notes and proofs ?
    2
  34905. Can I have a video of this but for like every other single field of study? K thanksss
    2
  34906. Thank you so much sir Love from India
    2
  34907. thank you for your wonderful way of making math easier and interesting
    2
  34908. I wonder why your video's are no longer 480p ?
    2
  34909. That’s amazing. Math!
    2
  34910. holy shit thank u so much math sorcerer for this amazing course!!! i swear ur the best my guy!! u just helped me so much with this course. i was jus thinking to my self if you've done a course on this topic on yt, and then when i needed u the most u came for the rescue!! thx alot imma wacth the whole thing!!
    2
  34911. thanks, man
    2
  34912. Great love from India, sir I need lectures of yours in lattice, partially ordered set( poset), boolean algebra.
    2
  34913. what are the possible orders of kerφ if we know the orders of G and K? thanks!!
    2
  34914. Beautiful stuff:)
    2
  34915. thanks
    2
  34916. Best😍😍😍😍
    2
  34917. Thanks. Do you have an example where instead of it being from Z x Z → Z, its instead Z → Z x Z?
    2
  34918.  @TheMathSorcerer  Do you have a video on what that even means? Like what does the arrow mean? f colon Z arrow to Z ???
    2
  34919.  @TheMathSorcerer  oh great! So the first one is the domain, which is the input to the function... ...and then the arrow points at the output codomain, which can also contain additional numbers that aren't outputs ☺️👍 Thanks, now I finally know what that's even supposed to be lol
    2
  34920.  @TheMathSorcerer  😃☺️
    2
  34921. How'd Youtube know??? I was trying to watch videos to avoid my homework then this shows up in my recommendations 💀
    2
  34922. Hey, you should write a mathematics book.
    2
  34923. Will do, thank you for the tip good sir!
    2
  34924. Thank you for video
    2
  34925. I am 28 and thinking about getting a second degree, the first one I got in 2017 was in Japanese Language Translation top of my class. but I've grown sick of life as a freelancer, and engaging in all the headache-inducing negotiations over my offered price, I feel people here in Saudi Arabia underappreciate the value of translation as a profession. people seem to equate fluency with ability to translate. which is just plain wrong. I often end up giving in to the clients demands due to the scarcity of other opportunities to engage in the practice. My grades in high school are less than ideal to say the least, and I was just in a different headspace back then. Math was the bane of my existence, I was so convinced that math wasn't my thing that I gave up on my dream of become a video game programmer. an alternative to getting a second degree was recently brought to my attention. which is to get an MBA to broaden the scope of my employability. I thought great maybe I can do that (even though I don't really want to) but even if I DO go for it, there's GMAT to worry about, and it's so daunting, the small amount of math I do know unfortunately evaporated along with school (Now I only know I tiny bit of basic arithmetic) meaning I need to re-learn not just how to solve math problems, but re-learn basic math concepts, the names of which I've mostly forgotten. The older I get the more I realize if anyone wanted to get anywhere worthwhile in life they should know math, otherwise good luck getting respected and recognized.
    2
  34926. In my freshman year university, my first ever midterm was for calculus I. I completed about only half the test because I was so damn slow! I got a 52% (but the class average as a 49% so I guess that made it less bad huh?). I remember it like it was yesterday
    2
  34927. 💐Congratulations The Math Sorcerer! It`s wonderful 🤩 Happy Christmas to you 🎄
    2
  34928. Me too i study whith pencilpen 😇
    2
  34929. ...A COMPREHENSIVE BOOK ON THIS VAST SUBJECT.....LOOKS GOOD !
    2
  34930. It is great job. Thank you for the list. Could you suggest simple book for Measure theory. I have gone through G D Barra. I found it bit hard. are there any books which are easy to follow? Or the subject it self hard.
    2
  34931. ive got my final exams in 3 weeks
    2
  34932. Yes Sorcerer. Will surely keep doing mathematics.
    2
  34933. Very nice books
    2
  34934. "i gotta whif it"😭
    2
  34935. Disagree in the part of balance.
    2
  34936. Also in the part of "good learning is repetitive and booring" of course, if you normally play videogames, a natural task such as learning is going to feel incredibly unstimulating.
    2
  34937. Great impression. I suppose your mind treats math like you treat your books.
    2
  34938. Nice joke hahaaaa
    2
  34939. Всем с НАУ большой привет)
    2
  34940. having watched the HBO mini series Chernobyl, the surname Fomin is familiar. https://en.wikipedia.org/wiki/Nikolai_Fomin
    2
  34941. I meant the math channel you should do a collaboration with is called brithemathguy.
    2
  34942. Proof and Logic book can you put it for download? Thanks
    2
  34943. cool... I used this book in high school... thanks for a trip back down memory lane
    2
  34944. Thank you!
    2
  34945. Good video with an example! , Thank you ! :)
    2
  34946. They do? I'm learning in Australia and our 1st year math contents is pretty easy
    2
  34947. Thanks you man you help me lot ☺☺
    2
  34948. hi please don’t stop with these videos
    2
  34949. The sorcerer has done some black magic !!
    2
  34950. ❤️❤️❤️
    2
  34951. I don't see the D operator in any differential equations book . Can you tell me from what book you prepare for this video ?
    2
  34952. Got almost all of your Udemy courses. THANK GOD! Please, recommend more of the fun and intuitive math books.
    2
  34953. Thanks for taking the time to make this video it is so important to many of us
    2
  34954. Here in Las Vegas, NV.. all public schools have shut down for at least a month, colleges & UNLV switching to online virtual instruction. Las Vegas strip has mostly shut down.. public transportation is only running at 50% & ready to shut down .. same story in almost every city. Will the whole world be shut down, soon?
    2
  34955. Perseverance is the most important trait you must possess in order to achieve your mathematical aspirations
    2
  34956. Thanks
    2
  34957. Make a video ....how be a legend mathematician thinking about a problem... Love from India ❤️
    2
  34958. you are so smart my man how do you know me without knowing me
    2
  34959. i love you
    2
  34960. Thank you, Your channel and your advices are very useful, Regards. :elbowcough::elbowcough::elbowcough::elbowcough:
    2
  34961. Cuando encuentras un profesor que explica bien pero es de hace 2 años :'v
    2
  34962. Why is there so much linear algebra?
    2
  34963. I followed Thomas and Finny book of Calculus.
    2
  34964. he did 10 push ups every time he solved x
    2
  34965. I think in Morocco the junior HS & HS & UnderG scientific subjects are or were taken seriously. I agree with other comments. I will add that in big cities (talking about generation born before 90's) there are a brunch of maths in HS & some HS had reputation that teach maths seriously (even they let anyone to study in it). And some small cities or towns are known to have very rigorous HS in maths physics ... Also there is what you call tutoring is(or was) cheap. At my time if you need extra tutoring within a class it was like 15-20$ / month (4 hours / week) and private tutoring maybe 10$/hour. The quality of tutoring was way better than regular class and the problems we had to do were numerous and higher difficulty. And also there were some very very good problem books in HS. I think they could be used in 1st & 2nd years in university. But what I think is not good are textbooks. You can't read them without a teacher to explain the subject to you. Us textbooks can be used without the help of a teacher. Another thing why people from other countries look better than locals. Where I live now in Canada(I don't know if it is the same thing like in US) many people have to take subjects they have already done in their countries because the government here ask them to fill lot of papers ... I have met many students for example they have done Real Analysis 1 and Calc 3 and probabilty .... and they have to study again this subjects. I think it is too bad for the students who study it for the first time. Imagine someone can easily score 100% in Calc3. That will make other people look dumb.
    2
  34966. Why is Isaac newton telling me this
    2
  34967. I love this channel thank you!
    2
  34968. I'm pleasantly surprised to see you talk about this subject. I'm glad to see it! :)
    2
  34969. Calculus 7 😂😂😂
    2
  34970. class time - 45 min lecture- 11min hw time- 8hrs
    2
  34971. very helpful thank you so much sir!
    2
  34972. Your method is cool professor sorcerer but here's what i do i just keep my books 1 mile away😂😂😂😂but seriously i really want to be at least a sincere student of maths forever throughout my life so i keep retracking myself back to it after i am ok with cuz math is love forever it can,t be variable for long time 😅
    2
  34973. Love it !
    2
  34974. The thumbnail somehow weirdly made me click.. I can’t explain why.. Just C…
    2
  34975. thanks so much. This video really helped. I got stuck somewhere...
    2
  34976. Merci
    2
  34977. What videos would you recommend watching to prep for stats?
    2
  34978.  @TheMathSorcerer  Okay! Thanks :D
    2
  34979. Nobody: Absolutely nobody: Jeff Bezos when Amazon doesn’t work out 26 years ago: Today we’ll be doing some mathematics
    2
  34980. “What’s the Petersen graph”. Haha, love your stuff as always dude
    2
  34981. Thx sir
    2
  34982. 😅
    2
  34983. Very helpful video 👍👍
    2
  34984. Cheers, great for my econ class
    2
  34985. I like how this video has zero dislikes 😂 maths burnout turns out to be a universal experience
    2
  34986. Thank you Jeff Bezos for giving us such valuable advice tbh I think the hardest part would be that HOW BAD SOMEONE WANT THAT
    2
  34987. love u more than mathematics
    2
  34988. "you're being delusional"
    2
  34989. omg yes!! thank you so much for sharing all these amazing books with us all! 🤩 a first course in differential equations by zill is one of my favorite math textbooks ever.
    2
  34990. Thanks u so much sir
    2
  34991. As old as you see your soul. In Reality: eternally young.
    2
  34992. I'm a dentist and I have no idea why I clicked into this.
    2
  34993. Yes!! Exactly yesss. Do proof vids those are rare , unique, and highly requested.
    2
  34994. Haha, you're 'determined' to make this Martian soundtrack work!, Great video!
    2
  34995. I'm the best of anyone
    2
  34996. Liked this video but not the fact that I should buy them.
    2
  34997. i hate mathematics yet im taking my honors in math lol🤓🤓🤓
    2
  34998. but lets be real: Wolframalpha is the shit!
    2
  34999. can you start doing math pilates pls 😂
    2
  35000. Truly said😊👍
    2
  35001. you save my life thankyou
    2
  35002. ​ @TheMathSorcerer  I'm currently Self-Studying Proofs, and Transition to Abstract Mathematics on Coursera. I'm hoping to transfer for Upper-division courses as a math Major to get a BA/BS if anyone takes me. :-) So basically all those cool conjugate proofs you did on the complex numbers are right up my alley. I got some pages to slog through, but I'm keen and motivated.
    2
  35003. Currently I'm staying electrical engineering (electronics and communications) so what do you think the most helpful book or subject i should focus on ?
    2
  35004. what changes if the linear transformation was from R3 to R2?
    2
  35005.  @TheMathSorcerer  thank you for the fast response and for the helpful videos you make :D
    2
  35006. I had a feeling you were going to whiff that a second time!
    2
  35007. merry christmas prof!
    2
  35008. Maths and technology and science books
    2
  35009. Book sniffers. I loathe them. I used to be one, until I realized how elitist it is.
    2
  35010. In this day and age, with all the excellent math videos freely available on the Internet, it is practically a sin not to be conversant in calculus.
    2
  35011. It is good book and have wed site
    2
  35012. Thanks again for your wise words of motivation and encouragement!
    2
  35013. I knew this guy was smart as soon as I saw the wild hair. Got long Einstein hair lol
    2
  35014. IMPORTANT: DIFFERENTIAL EQUATIONS are where the information of this book is used in math and science. Solving those is necessary to USE most of the calculus results. They require a separate set of classes where the difference between homogeneous and inhomogeneous differential equations and their solution requirements, as one very important topic, are taught.
    2
  35015. I just watched your other video on this same book from a few years aho
    2
  35016. Years ago*
    2
  35017. This guy is so awesome
    2
  35018. What kinda habits do you suggest in preparation for competitive exams? (like Putnam or GRE Math subject test)
    2
  35019. Good points for learning math! 👍
    2
  35020. Thanks
    2
  35021. Perfect video right before going to sleep with a full math study plan for tomorrow :)
    2
  35022. I think I,m going to do my Phd in procrastination.
    2
  35023. Did humans invent or discover mathmatics?
    2
  35024. crc hanbook
    2
  35025. You just saved my career. Thanks.
    2
  35026. Math doesn't get hard. We get greedy.
    2
  35027. I heard am profesor dork or Torque
    2
  35028. Wow this was very helpful thankyou
    2
  35029. Awesome...Thanks Professor...
    2
  35030. Always wanted to study math/physics. Dad said no. 😢
    2
  35031. They publisher is different. I think my edition was printed by Pearson. I have used this text in discrete, the bridge class, and real analysis. At NOVA, we used to teach discrete as a math and computer science class. My copy of the text includes a pseudo-computer language in programming examples. Maybe that was added in a later edition. The cover confused me. In all of the editions I have seen, it has a photo of six or eight smooth rocks balanced on each other.
    2
  35032. Ans: I don’t.
    2
  35033. reallyyy helpfull lecturess
    2
  35034. Another good book is “Basic Complex Analysis” by Marsden and Hoffman. Well written and easy to follow.
    2
  35035. Your videos are so motivational.Many times I decided to give up math dept,it’s really extraordinary hard but with your help I have really different perspective.
    2
  35036. I am going to start study number theory should I study to write proof before studying number theory?. BTW love your videos
    2
  35037. Knowing how to write proofs is a game changer.
    2
  35038. Number theory at any level in college is a proof heavy course. Learn basic modular arithmetic ahead of time if possible.
    2
  35039.  @TheMathSorcerer  thnx
    2
  35040.  @franciscoreyes7370  thnx
    2
  35041. Great coverage. Your enthusiasm is contagious. Keep posting!👍
    2
  35042. AWESOME
    2
  35043. if you can't solve it maybe you just miss something like a result you should know etc.
    2
  35044. OH MY GOD now that I think about it, that's actually very brilliant.
    2
  35045. There is a website called thriftbooks.com where they sell used books. Barnes and noble college is also a good website to find textbooks.
    2
  35046. thank you! i needed this
    2
  35047. I saw a school poster about a math Olympiad and understood how to solve the sample problem. And realised I might be ok at math. And, yes, I read a book on topology. Didn’t write on the window, but I did get my parents to put a blackboard in my bedroom.
    2
  35048. Jeff?!?
    2
  35049. Everyone thought I was going to teach because I studied math. It's so ridiculous that people think you can only teach with a math degree
    2
  35050. absolutely fantastic advice !
    2
  35051. thank you so much!
    2
  35052. Thanks sir
    2
  35053. It's no different to being good at Languages or Music or Sport or Acting or Public Speaking or ...
    2
  35054. Dude.. this is not a bidding contest, take off the hat and slow down 😂
    2
  35055. thank u so much am impressed sir
    2
  35056. Silverman translations are much more clearer and readable than some of the original russian books!!
    2
  35057. 1)I buy the e-books. 2) I then buy the workbooks with thousands of worked out problems with their respective solutions on Barnes and Nobles 3) I create word documents using LaTex 4) I then attempt to apply the theorems to the worked out solutions and attempt the problems on my own in a separate spiral note pad. Since I am a mathematics with a concentration in actuarial science major, my plan does not require real analysis and is heavy on statistics, economics, finance. However, I am self studying complex analysis, logic, and discrete structures anyway. I have the following e-books for self-study: Schaum's Outline of Calculus, 6th Edition, Frank Ayres. https://play.google.com/store/books/details?id=aaqnhrjKMLkC Schaum's Outline of Logic, John Nolt. https://play.google.com/store/books/details?id=dNKsBAAAQBAJ Schaum's Outline of Discrete Mathematics, Revised Third Edition, Seymour Lipschutz. https://play.google.com/store/books/details?id=UnyHfPiAsroC Schaums Outline of Physics for Engineering and Science 3/E (EBOOK), Michael E. Browne. https://play.google.com/store/books/details?id=2rgTTz258nQC Schaum's Outline of Probability and Statistics, 4th Edition, John J. Schiller. https://play.google.com/store/books/details?id=wh5lYzLqiMAC Schaum's Outline of Mathematical Methods for Business and Economics, Edward T. Dowling. https://play.google.com/store/books/details?id=GODKQTjdEXoC Schaum's Outline of Linear Algebra, 5th Edition, Seymour Lipschutz. https://play.google.com/store/books/details?id=o7U2JI5gnkAC Schaum's Outline of Principles of Computer Science, Paul Tymann. https://play.google.com/store/books/details?id=hsI7n8kYoMYC Schaum's Outline of Differential Equations, 4th Edition, Richard Bronson. https://play.google.com/store/books/details?id=TZIEAwAAQBAJ Actuarial Mathematics for Life Contingent Risks, David C. M. Dickson. https://play.google.com/store/books/details?id=maci14_9kAEC Numerical Methods, Germund Dahlquist. https://play.google.com/store/books/details?id=hPfBAgAAQBAJ
    2
  35058. Thank you very much!
    2
  35059. I passed calculus 2, and did not understand gradient vector.
    2
  35060.  @TheMathSorcerer  So you know, in brasil we only have calculus in college.
    2
  35061. I sympathize with the ranter, and offer a dose of 'love'. I did not 'READ' those books, but I'm so grateful for the indices.... I referred to the books when I was stuck for a solution. When it was necessary, I'd read a complete page or chapter. This might be because of undiagnosed Attention deficit something-or-other, or even a dose of Autism....no matter....I love tech, and get bored easily. I learned because I wanted to do things, and loved doing things computers could do. I also committed myself to problems that forced me to learn before completion, and I 'hated' quitting. When I started making $$ with programming, I still "followed my muse" and paid 'some' attention to schedules, and researched and PLAYED with what I want. I found out that by respecting my project's goals, my play ALWAYS circled around to more productivity. Sometimes the circle had a short radius, sometimes it was wide. I decided my deep love of what I was doing lead me on obvious productive paths, and playful paths that led back to productivity. My age has come and is going... make the best of yours, and have fun.
    2
  35062. I was wondering what is the difference between PDE and ODE
    2
  35063. Thanku so much....i was really very confused to solve isomorphic groups....it helps me alot 🥰
    2
  35064. Thank you!
    2
  35065. HOW DID YOU KNOW lmao. Bought your course and still kinda procrastinating in calc lmao. Thx!!!
    2
  35066. Most top american students are found in top uni of the US. The better foreigners don't easily get in those uni.
    2
  35067. Thanks sir for this video
    2
  35068. subtitulos porfavor =(
    2
  35069. Jiu jitsu hands down will humble you to the core
    2
  35070. yes, i took it as an undergraduate. excellent stuff!
    2
  35071. I never took notes. I see people doing this, I tried, but it doesn't work for me. I think I have a birth defect.
    2
  35072. Where can i get that tshirt?
    2
  35073. favourite math book
    2
  35074. Drexel Institute of Technology is now Drexel University in Philly
    2
  35075. this is gold
    2
  35076. You have a very valid point which makes me go back to Elon Musk's idea about treating knowledge as a semantic tree with branches and leaves. Most people get bogged down in the details instead of getting the big pictures right first while doing casual reading!
    2
  35077. Good motivation for us to move on God bless you 🙏
    2
  35078. Reminds me Erdös
    2
  35079. Jeff bezos with 70s hair teaching math
    2
  35080. Good days, professor. Would you tell the software for writing in this viedo? Thanks beforehand.
    2
  35081. Books like these tend to have calculus problems thrown in
    2
  35082. I think I understood about 20% of the jokes, the other 90% went over my head
    2
  35083. Yay, my level of math. 😅
    2
  35084. Married, three kids, taking three classes per term, working 50 to 60 hours per week. Took Calc 1 three times. Never made it past the first week of Calc 2. I did finish my 2-year degree with a 3.51 GPA carrying that load.
    2
  35085. Where do you get math books for 5$ ? I mostly read math books online cause they're free, but I'd much rather have a physical copy, even if I can't pick from as wide a selection.
    2
  35086.  @TheMathSorcerer  Thank you! I'll look it up
    2
  35087. I love you so much.
    2
  35088. Blueberry pie!
    2
  35089. The Math Sorcerer dang I’m jealous!
    2
  35090.  @TheMathSorcerer  you should do more videos like this one.
    2
  35091. Hilarious 😂😂
    2
  35092. Please make a video of books for physics from start to finish just like you did for mathematics.
    2
  35093. I am thinking abt my major (what to get into) rn but the people keep discouraging from certain things while encouraging CS and EE, stuff where you can make lots of money. Thing is... My only goal is to be a university professor. It just seems fun.
    2
  35094. What’s after grad school? I am a high school student, studying for calculus. So I am kinda curious on what’s after post graduate school.
    2
  35095. This might look stupid, but one thing i realized so late in my life is that my diet affects SO MUCH my life. I used to always be sleepy and lethargic. And realized at some point that the source was bread... it really sound stupid, but whatever i eat, if i eat a small portion of bread with it, i end up needing a nap for a couple of hours. Consequence? always sleeping in class, missing the basics of math, and not being able to keep up. I can understand easily things but without basics, it's just not possible. I grew up in a culture that's too easy going and my parents just accepted me like a sluggish guy. And i hated it so much! But now, when i know i got a busy day, i adjust my diet and my energy is so much higher! Know yourself, it does a huge difference!
    2
  35096. I'm interested!
    2
  35097. Second
    2
  35098. I wanted to re connect with Math, 30 years after college and stumbled upon "No Bullshit Guide to Linear Algebra By Ivan Savov" It is a great book.Please review it if you can MS. Anyway thanks for making YouTube an interesting place and math fun. Keep it going MS!
    2
  35099. and never blink 🤣
    2
  35100. I am 13 and I am in eight grade. I am home schooled and I am doing duel enrollment next year in 9th-12 grade(get an associates degree throughout high school). I want to be a Biomedical Engineer so what math should I start studying? Can you make a video on Math Books for teenagers. Thanks
    2
  35101. Oh that smell! Great!
    2
  35102. Personally I found both memorising and knowing proofs works for me. When I forget the formula I can always get the the formula again by deriving the formula from a proof.
    2
  35103. Thank you. Really, thank you. Bought the Susanna Epp textbook based on one of your other videos.
    2
  35104.  @TheMathSorcerer  at the start of the proof (following the scratchwork), you defined N>sqrt(2/eps), but then at the end, it became N>sqrt(eps/2)?
    2
  35105.  @TheMathSorcerer  I'll just grab the timestamp :)
    2
  35106.  @TheMathSorcerer  thank you for being so quick to respond!
    2
  35107. 1:05 is exactly what I was thinking when I was first doing multiple integrals xDD
    2
  35108. Thanks . This is gold for somebody like me looking for how to re-begin in Math in English language . I'm several year after finished school math studies.
    2
  35109. best
    2
  35110. Do you know any good books to really set up your mathematics foundation for pre calculus???
    2
  35111.  @TheMathSorcerer  thank you very much sir:) have you read What Is Mathematics Herbert Robbins and Richard Courant, I am really enjoying trying to wrangle with the concepts in the book it is a very daunting challenge I am personally struggling with understand mathematical induction xD
    2
  35112.  @TheMathSorcerer  thank you very much, I live the work that you do:)
    2
  35113. I think Nikola Tesla was the smartest person on this planet.
    2
  35114. This is an amazing video 😅 all of your videos are amazing !!
    2
  35115. please get the focus on the book :_)
    2
  35116. Agree with other commentators great advice.
    2
  35117. I Made a silly mistake today, I had two equations with two variables and I didn't Solve it because I was afraid of operate and get to nowhere (geometry problem)
    2
  35118. Could you do another video except for about good habits?
    2
  35119. Can I just learn calculus?
    2
  35120. well I guess the fact that I avoid calculating anything by hand helps
    2
  35121. Yesterday (22th march) Turkish market crashed. So did I :( so the worst time was friday (19th march) to invest. Guess when did I invest :(
    2
  35122. Merci beaucoup 🥰
    2
  35123. why are you built like filch from harry potter?
    2
  35124. Ohh my god I just saw the colorful pic and vedio of Newton
    2
  35125. I used to have that same mouse puppet years ago.
    2
  35126. man, god knows how much I needed these words.
    2
  35127. that's pure gold
    2
  35128. thanks man
    2
  35129. Thanks for doing these. Hard to find good DE videos.
    2
  35130. Thanks for the advice Sir.☝️
    2
  35131. Not 666 likes anymore
    2
  35132. You are wonderful!
    2
  35133. Obsessed with this book collection 🥲
    2
  35134. I wish I had the access to your channel when I was in high school, man it would've been so helpful...... And congrats for 100K!
    2
  35135. What textbook are you using to teach DE and should I learn them after calculus or advanced calculus?
    2
  35136.  @TheMathSorcerer  Thanks and btw you‘re an awesome teacher!
    2
  35137. OK but how is this man holding his pen
    2
  35138. What's the difference between learning discrete math and set theory?
    2
  35139. One of my favourite Mathematicians.
    2
  35140. What if its not related to mathematics? But you still like it
    2
  35141. And, if you permit my modest recommendations, "Digital design and Computer Architecture" by Harris & Harris are another masterpiece that I find extremely useful and informative. Is more about Computer Engineering and Hardware architecture, but also contains pretty decent introduction to Assembly x86 and C for beginners.
    2
  35142. Thank you bro❤️🔥
    2
  35143. Just finished an intro C++ class as a stats and data science major
    2
  35144. I got to say that it's funny to hear you say "If you have some math background..." because almost no one has, but often they think they do.
    2
  35145. jeff bezos with hair
    2
  35146. Thank you so much for recommending this book
    2
  35147. One might start seeing it.
    2
  35148. Not to be rude professor, but the calculator will be a past gadget soon, unfortunately. The question now is if we should allow python or wolfram in exams. Technology is an unstoppable evolution, the most we tried to block, the most powerful it returns against us. We should teach hardcore ethics, logic, and responsibility. The academia can't be an island, it has to look around the world, adjust, retro feed and adjust again.
    2
  35149. Do you have any recommendations for how to get into noncommutative algebra?
    2
  35150. Do some triple integrals
    2
  35151. Having a good memory is key
    2
  35152. Same here!
    2
  35153. Not even 45 seconds in and I'm already subscribed. I don't know what it is, but the moment I took one look at you, my mind went "Yes, this is your math sensei". Love from Kenya
    2
  35154. love those little wizards and their orbs 🧙‍♂
    2
  35155. For me. “Getting” math began with my learning about bases. Math stopped being about memorizing a set of ritual incantations when I learned that 11=3. (11 is not eleven. ) Also clock-face math where 11+2=1. 😋
    2
  35156. Thanks
    2
  35157. You might need to treat that book for fungus and protect it from the change of weather... Some librarian curator might help you know better what to do. enjoy!
    2
  35158. Math is not a human construct. All math already exists. Anyone interested in number theory who has seen hours turn into decades while looking for X would agree. We are not trying to create X, we are trying to find it. Moreover, at it's most simple, why haven't all the chipmunks died? It's because they understand how many nuts they must put away for winter. Not a human construct.
    2
  35159. You should try out Smite
    2
  35160.  @TheMathSorcerer  Cool! Smite is actually a game like League Of Legends but it's based around gods like thor, odin, zues and a bunch of different pantheons but it's third person (behind character) view instead of birds eye. If you like LoL I'd recommend it for sure!
    2
  35161. Ahhhhh, that's why humans evolved a set of two eyes instead of just developing one eye!
    2
  35162. You have no argument from me. And it can help you revisit questions that carry more marks by rewriting in a better answer.
    2
  35163. I‘m in high school right now and started self studying advanced calculus a while ago and you really help me to push trough and to keep going even though its hard sometimes. And I just wanted to say thank you :)
    2
  35164. My math background comes from an engineering degree in the late 90s and self study "for the heck of it" over the last decade or so. I'm amused by the fact that I'm pretty sure none of the books I've used, either in school or on my own, are mentioned in your video :)
    2
  35165. The Math Sorcerer - to be fair, all my books were engineering-oriented, with minimal attention on proofs, whereas your suggestions are more "math major" types of books, with emphasis on proofs.
    2
  35166. Just went and purchased a copy! Thank you for bringing this book into the light, it is exactly what I've been looking for
    2
  35167. Awesome video. Thanks for the encouragement
    2
  35168. i really want to buy most of those books,, except i've just bought the thousand page cambridege Mathematics Companion... that's gonna take years of reading i would say
    2
  35169. That’s so helpful! Thank you! 🤩
    2
  35170. nice
    2
  35171. i love the aesthetics of the class
    2
  35172. Greetings Mr.Professor, Thoughts - : Applied Calculus Textbook looks Concised, Progressive in classical format. Thanks.. Take Care,Professor.. With regards, RanjithJoseph (R.J)
    2
  35173. Funny how I listened to each and every thing, and even solved the probs with u 😅
    2
  35174. Where are you finding these books for ~$10? Online they are $60-250. Thanks!
    2
  35175. Nice explanation
    2
  35176. 🐟🎏
    2
  35177. Seeing beautiful proof of a problem is like seeing a highlight play from a professional player.
    2
  35178. Im still enduring lots of additions and regrouping additions and Place Value obsessively so far so good! But also kind of getting tired of counting higher numbers tho, but i should keep up with the positive attitude. As for the Place Value, Im still loving it too! 😇 Thank you once again sir! Please keep on inspiring us, God Bless always! Thank you so much!😇🤗👍👍
    2
  35179. First?
    2
  35180. The math grind. Sounds pretty cool. 😎. You need to want to learn. It's too bad that all of these people(not talking about this guy) who think they are teachers don't want to work with the other teachers and all agree on information. Instead they want to teach stuff in their own way. Because that is their grind for them to succeed. They want that internet money. Which explains why the internet is a big disorganized mess. This isn't about making the world a better place or anyone succeeding these people think they have already succeeded or they wouldn't be telling you anything. I don't really care about their popularity. Just like they think they have succeeded in programming and go and tell the whole internet everything. You might need the job. They don't. Youtube pays them. But things are either true or false and if the are true you'd think they would be able to agree on it. Instead they regurgitate it and act like they came up with it. Who knows what the goal even is. Just do stuff because people want you to do stuff and you don't even know these people.
    2
  35181. 1:09 the end of the world 😂🤣
    2
  35182. My man looking just like Leibniz
    2
  35183. Nice budgie!
    2
  35184. Np:)what
    2
  35185. Thank you sir.
    2
  35186. You are literally a sorcerer pal
    2
  35187. In Italy on our first year we study set theory, abstract algebra, skip calculus and go straight to analysis (mostly because we studied Calculus the last year of high school) and in linear algebra generally we introduce basic algebraic structures (just in case we had not done them yet in abstract algebra) and then we study abstract vector spaces on an arbitrary field.
    2
  35188. Which logic video was that?
    2
  35189. damn ut jack
    2
  35190. I experienced this honestly,
    2
  35191. It would be helpful if you could review a set of books covering the topics: numerical solutions to partial differential equations and statistics. I am trying to pick my next math book. I am looking for a practical Num-PDE book and a stats book covering introductory stats for someone with a mathematics background. Your the best.
    2
  35192. I'm going to my library to look tomorrow. If I find anything good I will comment here.
    2
  35193.  @TheMathSorcerer  Wackerly and Mendallhall is at the correct level for my studies. Thanks for your time. I will order a copy.
    2
  35194. In answer to your question, this looks like about 2 years worth of math. After 2 years you should be done with calculus and dif. eq., as well as 2 semesters of physics and likely several more specialized courses depending on your engineering discipline.
    2
  35195. Are you Isaac Newton? Hahahaha
    2
  35196.  @TheMathSorcerer  hahaha
    2
  35197. great, thanks. My solution: 147 / 7 = 21 * 7 = 7 * 7 * 3 and then factor 7
    2
  35198. I have been searching for a video like this for the last two days. Perfect time ahahaha
    2
  35199. Good Morning!
    2
  35200. i love you
    2
  35201. why am i procrastinating watching my actual maths lecture to watch this ?
    2
  35202. In the 70's I frequented Holmes Bookstore in Oakland, California. So many old books! I really miss that place.
    2
  35203. time commitment? I know everyone learns at a different pace but is this gonna take 4 years?
    2
  35204. No actual place for Geometry. No inversion, optimizations, optimal control or classical mechanics at all. Well, may be these are relegated as applied stuff, but then again, statistics is there. Anyway, axing geometry can't be good :)
    2
  35205. Can you please do a review on susan jane colleys vector calculus book ?
    2
  35206. Hey folks, kinda feeling like a loser. Algebraic number theory is so difficult for me. Am Learning it everyday, but don't fully understand everything. Doing problems in algebraic number theory by Murty. Holy Shit some exercises destroy my brain. Way too difficult.
    2
  35207. You could easily convince me you are related to Jeff Bezos.
    2
  35208. thank you for this, you saved me!
    2
  35209. I regard "elitist" as hateful terminology by those who either have no interest in mathematics, or generally despise intellect. It does not matter to them, that people work very hard pursuing their chosen field in mathematics. You can see the corrosive effect of toxic egalitarianism in the anti-vax movement, education degraded and the rise of violent rhetoric against figures like Dr. Fauci. Like it or not, it is political.
    2
  35210. This birdy is cute
    2
  35211. 99% of Math is pursuing the wrong path to prove another path might be true. Is it a waste? Never. It's how we strip away a veneer of obfuscation, and are left with something that is logical but both true and justified. A failure's "three lefts" will make a success' "right" all the sweeter.
    2
  35212. electrical engineering books/courses always try to lure you into a false sense of security by starting off with the most basic and trivial stuff oh we're doing number lines, let me just check my phone for a second... aaaaannd now we're in the frequency domain???
    2
  35213. Honestly, these are ok books, but I couldn't find them for $10. Mathematical Proofs: A Transition to Advanced Mathematics is more than $100, used. Maybe a little less if you opt for paperback.
    2
  35214. What do you think of Henry Ricardo's "A modern introduction to differential equations"? I heard it has good reviews with some new topics like slope fields and phase lines.
    2
  35215. great proof. thanks
    2
  35216. I thought this was about abstract algebra and linear algebra.
    2
  35217. I've been looking for a video like this one! I would like to study mathematics by myself, however, there are so many books to read! how do you guys go about studying each one of them? it seems like the work of a lifetime...
    2
  35218.  @TheMathSorcerer  thank you for the reply!
    2
  35219. You've been busy today! Thanks for uploading all these videos! Have a great week!
    2
  35220. bro u explain better than my teacher of the university, thank u, saludos desde Ecuador <3
    2
  35221. i have some points 1. you state a couple of times that school would be useless if we could self study anything.... there's a reason you start school when you're a child and not from lets say 30 years age or more. is because a young brain gets knowledge ingrained way more easier and for longer time than an 'older brain' does 2. self study velocity depends on what other RELATED knowledge you already know to complement. like.. reading. you cant self study or you'll go very slowly if you dont know how to read( even if you only do videos or audio on any subject the teaching video or audio will send you basic info YOU SHOULD KNOW already... now ditch again the idea of school utility if you can. school will get you the BASICS like reading and writing AND THE BASICS AFTER the basics lol (COLLEGE)
    2
  35222. Thank you... Just thank you soooooooooo much for this honest yet hard to tell advice... Respect from Sudan, Africa
    2
  35223. This really helped me!
    2
  35224. I had a house fire when my bookcase caught fire. No joke. In my case, some papers fell from the bookcase onto a halogen lamp and the whole lot went up. It was a real pain, I had to move out for 6 months while they fixed all the smoke damage. I'm super-paranoid about potential fire-hazards now. Candles on a bookcase would drive me nuts. Just be warned friends! I wouldn't want you to be distracted from your studies.
    2
  35225. Holly Molly!! we want more vids of study with me.
    2
  35226. Really needed this right now, Taking Calculus 1 and I've only failed one test out of three, but this upcoming one is going to be tough (I've studied 3+ hours a day for it, test is this thursday), and there's still a few things I don't understand. Hoping I do acceptable on it. Thanks
    2
  35227. Today 17/09/2023 Name :Gokul Krishna P Kerala kasargod Let's see after 10 year 😅😅😂
    2
  35228. you look like you're going to curse me to step on a lego every 2 minutes
    2
  35229. Hello 👋🏽
    2
  35230. If at first you don't succeed, try, try, try again!
    2
  35231. Thankx
    2
  35232. You are very involved with your fans online. I like that, honestly. I will subscribe.
    2
  35233. How about motivation? I love the abilities and insights mathematics has given me, but I feel the process is like cleaning the floor in a circular motion with a tiny cloth.
    2
  35234. Thanks, I really enjoy Tao's writing style, it just sad that I have very few exposure to proofs yet so it kind of unsettling not knowing the right answer.
    2
  35235. I thought you would start form kindergarten. 🤣🤣😄lol
    2
  35236. When I started to do this my life got so much easier. Essentially, looking up what I found fun about the subject so I do not burn out on practicing/doing projects/learning theory. For math I started looking into all of the unsolved problems (there is a huge list on Wikipedia), goofier applications (like Ham sandwich theorem), what the current content creators/researchers/teachers and professors in those fields are publishing (like yourself), as well as learning the history behind math. Those four things always end up inspiring some life back into me when I start burning out. I also write down what inspires me and intrigues me the most while doing so, because it creates a list of project ideas for later on when I have no idea what to do. It feels like it has more humanity to it than what most textbooks provide. I also noticed the things I thought were just fun ways to waste time would show up subtlety in the theory later on (to my surprise). It was building breadth in the subject without my awareness.Thank you for sharing everything you do!
    2
  35237. Tell me price plzzz....
    2
  35238. I have the exact opposite thing happen to me. I cant focus at all in class but online on my own time I find the focus and it works.
    2
  35239. Holy crap! Someone else who loves Saracino's book! This book was an absolute watershed for me. Have you gotten the second edition? The new sections are cool. I have long contended that we should remove an analysis course from the standard science curriculum and replace it with Abstract Algebra, and we will be training better scientists and engineers. (Rudin: nice shout-out)
    2
  35240. 👍
    2
  35241. You saved me!
    2
  35242. Thanks a lot!
    2
  35243. Add anything instead of Mathematics, it's the same thing for every other field
    2
  35244. In Brazil, there is a sweet made from sugar cane molasses. It's called "ra-pa-du-ra". So, there is a popular saying that says, "Rapadura is sweet, but it is not soft." So is mathematics. ok! no candies. Math is hard and that is it.
    2
  35245. Aside from running Amazon, jeff Bezos does You Tube as well.
    2
  35246. Where are the subtitles?
    2
  35247. Wooow , very beautiful library .
    2
  35248. I love these antiquarian book presentations Thanks
    2
  35249. you look like jeff bezos man
    2
  35250. Great video. Thank you!
    2
  35251. Wow. Thanks for recommendation. Your beard and biceps Sir! Great.
    2
  35252. Imagine if all those books can be put into PDF...
    2
  35253. Hi and tnx for your great work! I love this channel. I’d love to see an episode about mathematical anomalies and singularities 🙌🏻 Also, G.H Hardy ‘A Mathematician's Apology’ is a great book, would love to hear your opinion regarding it. Tnx again for all your wonderful work 🦋
    2
  35254. Are you on stackexchange btw?
    2
  35255.  @TheMathSorcerer  oh ok just wondering if other students and teachers use it a lot its probably the most underrated site to get quality proofs and advice.
    2
  35256. Do you do any study into statistics? Anything on stocastic processes, stochastic calc, copulas, or anything else that's on my bookshelf that I'm not ready to study? haha
    2
  35257. Jesus he is jacked
    2
  35258. No pain, no gain.
    2
  35259. You are right, this book is very cool. I just got a copy, will spend some time to read it.
    2
  35260. Mann, I love everything you said
    2
  35261. You are a great source of inspiration. Hi from ETHL !
    2
  35262. Things electrical engineering professors never say: This is another math class.
    2
  35263. Thank you!
    2
  35264. 👍
    2
  35265. Squidward. You need to. GRASP IT. FIIIIRMLY.
    2
  35266. I haven't taken calculus 3 yet but I would have to say I barely remember the integral methods and the techniques for infinite series from Calculus 2. Although I took a summer course in Calculus 2 and passed the class with an A, I felt as if I didn't develop the right techniques to understand the methods I learned.
    2
  35267.  @TheMathSorcerer  Thanks for the reply but in Differential Equations, are Infinite series covered in that class as well?
    2
  35268. On a 5 to 10 scale, being 6 the minimum to gain credits. 10 in diff. Eqs, vectorial calculus and geology 1, and an 8 in my 4th semester, was the first of 2 great semesters i had.
    2
  35269. Awesome video. Really appreciate the uploads! I love watching vids here on YT to get the idea, open the wiki page relevent to the topic, I then (generally) type the same search term into Google & put the word pdf after it for more concise search terms (tends to yield good sources i. E. Lec notes from different colleges etc), I open MIT OCW & find a relevant course wrt the search term topic, I then open any pdf books. Having a monitor helps for using 2 screens, I used to have 3 screen (but 1 broke) so I had, YT vids on 1 monitor, pdf books on laptop screen & lecture course notes on the other. & once I got the jist of the idea from several sources I'd pick the one I like best & devour it. If I got bored/stuck, change the resources. Finally, I'd then try & teach it back to myself without looking. Browsing math stackexchange really helps too for any queries as generally any issue you have has been encountered & solved by somebody else unless you're doing something really obscure (e.g. Perfectoid spaces - in that case just email the authors of the most widely available resource on that topic!)
    2
  35270. @ the math sorcerer - dude your response time for reacting to the comments is unbelievable - are you actually there all the time or is there an auto function built into YT that can be enabled or something... Wow wee!
    2
  35271.  @TheMathSorcerer  Super! Your channel is absolutely fantastic. Thanks for all your hard work & looking forward to more book reviews with your new year's resolutions! Happy new year, all the best 👍
    2
  35272. Bro, I will believe anything you tell me giving me the wizard eyes like that.
    2
  35273. This is such great advice ❤ thank you 🙏
    2
  35274. I believe I have a weird and long-ish 3 paragraph criticism (i.e. prepare to read). Weird because I believe this is a great video. But if done in three (3 sentences) would be: The problem is a change needs to be made somewhere. I suggest maybe you (Math Sorcerer) are too nice. Finally, don't listen to me I have no basis for my beliefs I'm sharing. THE CRITICISM: Paragraph 1 My suggestion/criticism is this should either be 1. Entitled something along the lines of 'Learn Mathematics from START to FINISH - Textbooks to use' (or something snazzier) 2. Add/Promote your own playlists (That's you Math Sorcerer). Your channel homepage has 20 Proof Based Mathematics Playlists, e.g. Math Proofs for Beginners; and Pre-Algebra, Algebra, Precalculus, etc. playlists. MY SUGGESTION: Paragraph 2 & probably wrong Maybe I'm overly lazy and narcissistic, and, you are probably not me (don't need math to figure that out). Maybe you don't want to promote yourself, hope some will accidentally find your other videos, because you seem like a nice guy. If so, I also suggest promoting other math people on youtube. This belief is something I have no real justification or proof for. Except the explanation that in doing so your videos will be more likely be recommended by the magic youtube algorithm (or how to (hopefully/maybe) promote yourself without being like me (lazy and/or narcissistic). NEW SUBSCRIBER SUPERSTITION: Last paragraph point Learn Mathematics from Start to Finish by Math Sorcerer fell into my recommendations by an abstruse algorithm. Or I'm not fluent in Mathematics, Logic, Computer Science, etc. so I'm guessing and merely ranting on a youtube comments. But I say this as a new viewer/subscriber. This video was (might have been) recommended because I watch a lot of Numberphile, Stand-Up Maths (Matt Parker), and of course 3Blue1Brown. This lead to recommendations of Tibees, Zach Star, Up and Atom, Arvin Ash, etc. and other not obviously math channels by name. Now I'm here. SUMMARY: Back where we started In three sentences: the problem is a change needs to be made somewhere. I suggest maybe you're too nice (not necessarily a bad thing). And I have no basis for my beliefs which I'm sharing so don't listen to me .
    2
  35275. I teach math and I only do private classes for kids with problems in math. I have in my 40 years of teaching seen this being the problem, kids that do not believe in themselves. But I have as well realized that the problem in most cases started while the individual was learning fractions. What I do is teaching them fractions really well and showing them the relationship between algebra and fractions and that they are supposed to use the same methods regarding problems in algebra as they do in fractions. For them this is there greatest discovery and always helps them to connect to there problems and understand them. Kids that get behind in math usually do that early in there education and what happens is that there lack in understanding usually implants the idea that they are losers. I have helped hundreds of kids overcome there fear of math and many of them have gone further to study science and math.
    2
  35276. Ngl before I really underestimate small progress until I realized recently that the smallest things are actually the biggest things.
    2
  35277. How can I get it in Bangladesh?
    2
  35278. Thanks man 👍
    2
  35279. ... You are a unique breed sir. Respect & . love from pakistan ♥️
    2
  35280. because their's an end to math ?
    2
  35281. Nice
    2
  35282. Thank you very much teacher, greetings from Peru. It is perfect.
    2
  35283. I summon the Math Sorcerer to a challenge! Discuss writing in mathematics.
    2
  35284. 💗💗💗💗🧡🧡🧡
    2
  35285. We had Linear Algebra by Friedberg, Insel and Spence our first linear algebra course. It’s a great book. The exercises in it are awesome and really prepares you for the type of things you will get asked on a test.
    2
  35286. 👍👍👍👍👍👍👍
    2
  35287. Hi bro If I am in my first year of ug . Which book i need to have a great command over maths during the course of ug??
    2
  35288. MY ROLE MODEL - Leonard EULER "READ EULER HE IS MASTER OF US" BY LAPLACE
    2
  35289. I forgot to like and comment when I viewed this previously. This video picked me up out of the dirt in my Vibrations and Controls class. A+ quality, you always cover everything.
    2
  35290. You are look Isaac newton.
    2
  35291. Awesome words!
    2
  35292. When people talk about math people being elitists, they are - at least in my experience - responding to the attitude some mathematicians have towards other fields of study. STEM students/faculty are notorious for looking down on those in non-STEM fields, even going as far to claim that they are not as "real". Because mathematics seems to appear everywhere in our universe, it's easy to see why one might think that math is "more important" than other fields. Nobody ever questioned the rigour that goes into studying math. It's the opposite. Math people doubt the rigour of every other field of study (In my experience).
    2
  35293. Thank you very much for your advice. I will do my best.
    2
  35294. Best analysis book is from Folland
    2
  35295. He is? How so? I ask because I know nothing about Axler as a person.
    2
  35296. What a clear, useful and welcoming video....Thank you !!!
    2
  35297. Man every time you get to the whiff part it's just weird and a bit disgusting
    2
  35298. Pizza Party😍
    2
  35299. This is real.....❤❤
    2
  35300. Brilliant
    2
  35301. professore! professore! I think that a tidy wig or a hair make over by females ,may be in order.it's almost as bad as mine.the just shove it anywhere style is not popular with the girls!
    2
  35302. Category theory
    2
  35303. This video motivated to hit the books for at least 30 minutes before bed.
    2
  35304. When the professor thinks he gets something wrong, erases it, and then its like “oops no the last one was right”
    2
  35305. Thank you sir
    2
  35306. Lol I found the paper back version priced on amazon at Canadian $303. My head screamed "retreat! retreat!"
    2
  35307. Ufff !
    2
  35308. Did you live around Penn state? Because you look a lot like my neighbor who I’d chill with and drink vodka lemonade outside on the lawn lol this was 10 years ago, he was a physics tutor and would always always say students all just had the wrong mindset, lacking confidence, and that it was 100% that confident mindset that determined success. If that is you, well done with the channel man! lol
    2
  35309. I needed this. Thank you
    2
  35310. I loved this book. It really got me through DiffyQs
    2
  35311. Nice Review & Guide! ❤️❤️😀👏👏👏👍
    2
  35312. ive heard someone say that cal2 is where people go to finally fail trigonometry; with that being said, i found calc 3 alot more difficult than calc 2. triple integrals, cylindrical and spherical coordinates, legrangian multipliers, and trying to draw 3 dimensional figures lol
    2
  35313. simply elegant
    2
  35314. Best time to sell is when your doctor starts talking about stocks
    2
  35315. What website or bookstore are you finding these awesome books? Amazon doesn't carry these hard back books like the Lang and this Silvanus book.
    2
  35316.  @TheMathSorcerer  Thank you sir.
    2
  35317. The Math Sorcerer just purchased it
    2
  35318. bro thanks love you
    2
  35319. bless your soul
    2
  35320. Hey math sorcerer love your channel! I'm a subscriber, with an honest question. If you answer, please tell me the truth, it won't hurt my feelings at all. I'm a male late 20s studying math via khan academy I'm currently at systems of equations 8th grade, and I haven't been breezing through this grade level. My question is it normal to struggle at this level given my age. Would higher level math take me considerably longer than the average person?
    2
  35321. How to contact you
    2
  35322. Todo fracaso va precedido de 1/100 éxitos. Todo éxito va seguido de 100 fracasos. Entre dos éxitos siempre hay 100 fracasos. Cada fracaso es la centésima parte de un éxito
    2
  35323. so nostalgic. As a teen in the 90s, I stole the ANSI stamped version from my brother. I carried it everywhere
    2
  35324. Who is author please
    2
  35325. This make so much sense I can relate what your saying and understand your point and how your saying it. Thank you much
    2
  35326. Everyday Calculus just arrived in today's mail!
    2
  35327. While this man was saying to eliminate distractions I got hit with 2 unskipable ads…
    2
  35328. Thanks sir
    2
  35329. You need to work smart as well.
    2
  35330. Who is this man!!!! I am so shocked about the clear picture of the life you have. I don't know, you followed the things that you said but It's true. We do not have time so don't waste it there is no such thing as the incarnation, we only have one life.
    2
  35331. Repetition is the father of learning.
    2
  35332. Repitition guarantees precision
    2
  35333. Your stories are so enjoyable😂
    2
  35334. Holy crap, the exam prep killed me
    2
  35335. Nice mathematics books. Mathematics is very beautiful science.
    2
  35336. Brilliant!
    2
  35337. great explanation sir
    2
  35338. "Oh, yeah remember the ______________________ theorems or the ________________ techniques." Was a blank to us mere mortals who went to college without any AP math classes.
    2
  35339. For a mathematician it is not the Nirvana but the Fifth dimension. I am just guessing. Speed is important as well and needs to be improved whenever it is possible. The good thing is that you do not find or see any red traffic light blinking anywhere ahead on your road and no police patrol can fine you with a ticket for speed either. Thanks for sharing your thoughts online. A big like.
    2
  35340. I am asked this from time to time, I tell them if you want make a good meal, you have to be comfortable with the basics of food prepping, for instance. So, the food prepping for mathematicians to me consists in logic & (naive) set theory, at least single variable analysis and of course linear algebra. I also try to remind people it's not a good idea to think in terms of absolutes.
    2
  35341. This seems like a good book! :D
    2
  35342. Very timely advice. Thank you.
    2
  35343. nice to see exotic joe finally learned math
    2
  35344. Intersting, a lot of people have very negative views of this book. For Under $10 I'm all in though. 3:00 I'm all for this. I love a book I can look at a section and say that interesting. Then getting a little challenge, and calling it a night.
    2
  35345. Thank you
    2
  35346. I was about to give up trying to prove the Riemann hypothesis, but now I've decided to keep at it.
    2
  35347. Finally some help
    2
  35348. Thanks
    2
  35349. Thank you sir it is very helpful to me
    2
  35350. I have bought a first course in abstract algebra by fraleigh and have a PDF of hershtein. I am going through hershtein one, it is large but I find the problems thought provoking. How do you think these books are?
    2
  35351.  @TheMathSorcerer  ah great. Background is in engineering maths & have self studied elementary number theory so prequisites shouldn't be a huge issue I guess
    2
  35352. thanks homie
    2
  35353. I'm not sure you read the comments to videos made a while ago, but however. You mentioned that Ramanujan is one-of-a-kind. Yes, but actually no. There was a Russian mathematician Israel Gelfand, who managed to teach himself (without teacher, only with books) to a level of Kolmogorov's aspirant (aspirant is a title for doctoral education candidates in German and other European universities) without even having a finished school education. Kolmogorov (I bet you know him) mentioned that in dialogues with Gelfand he felt the presence of a Supreme mind.
    2
  35354.  @TheMathSorcerer  Thanks for the answering back :) Russia is watchin' you! xD
    2
  35355. My englisch teacher in class 11-13 is exact the same as these ones
    2
  35356. ok fine youtube i watched this video fucking stop recommending it everyday
    2
  35357. Not related to the video but could you review Multiple Integrals, Field Theory and Series (Mir publications) from your bookshelf...it's very rare and sounds like a deep dive into old school analysis
    2
  35358. our math professor was just writing equations on the board without talking. you are at least talking. I remember one day I bring a thick physics textbook to his lecture then when he saw my physics book ,he turned crazy for bringing my book to her math lecture and just a few white paper to take notes and he was crazy about this. Now I see why he was angry with this , he saw he was useless because the book can teach us better than him. he was writing her notes . why should we read her notes instead of there is math books.
    2
  35359. Love u sir. I am creating my small Library 🌚🖤
    2
  35360. I think the question of “whether it’s better to take notes and not understand or understand and not take notes?” itself is erroneous. Obviously, if the objective is to gain ‘understanding’, then use whatever works best for you! For some people, actively being involved with the learning process by taking notes as they listen helps cement good memory and understanding as they write, but that’s not for me. In contrast, I had a friend who would sit with arms folded in lectures and focus solely on the speaker, he wouldn’t touch his pen once, but would then write notes later. And I certainly can’t do that either! Consequently, I record, and my only ‘notes’ (if you can call them that) consist of logging time stamps along with a key word or two to indicate what was just said. I can then play back, pause, and make notes, at my leisure later. What it comes down to is: I am not able process 2 languages sources simultaneously; I can either pay attention to what’s being said (the external language being actively processed in my brain) or I can make notes on what I’ve just heard (using the internal language of my brain to generate my note-taking about it), but, and this part is crucial, I cannot efficiently process the flow of both the internal and external ‘languages’ simultaneously as they conflict with each other. (By ‘legal definition’ (UK law), I have a disability, Specific Learning Difficulties), and for my brain, the passing of information is like the tide, it can either ebb or it can flow, but it CANNOT both come in and go out at the same time. And on top of that, the way I process the information in between is a third issue. (My wife is so much the opposite of me in this regard, she’s a skilled ‘bilinguist’ and can simultaneously translate/interpret. Therefore, she can 1. Receive auditory information in one language (listen), 2. Process it internally (think, applying appropriate grammatical rules, like syntax etc), and 3. Repeat it back in a different language (speak) – all at the same time. It blows me away! 😊). Therefore, in a rather long-winded way, I’ve just provided in 400 words what efficient communicators can explain in 4 or fewer... “each to their own” Or “horses for courses” (Of course, I could have responded with just the same, but without the foregoing explanation giving it context, it would not make the same sense). C'est la vie.....
    2
  35361. I’m not even in school anymore, but im glad I watched, thanks for your thoughts!
    2
  35362. Math ninja?
    2
  35363. Thank you, sir! Now I'm in the middle of Calculus. And it is a great motive.
    2
  35364. thank you! i really enjoy your videos
    2
  35365. why am i crying ?
    2
  35366. This is one of the best videos ever😂😂😂😂😂😂😂
    2
  35367. sir its coz of people like uh I start my mathematical journey...keep showing up
    2
  35368. So what is Advanced Calculus? I've taken Calc III at my community college but I assume that's not it but I've never taken abstract or linear algebra so Calc III might not be it then.
    2
  35369. der hat n Vogel
    2
  35370. Just do 100 analysis problems, 100 abstract algebra problems, and 100 linear algebra proof problems and read through the textbook and you'll be great.
    2
  35371. I have a better method of evaluating quadratic Equations taster than Poh-Shen Loh. I found out that his method it needs a be equal to 1 my method is no restrictions to a,b or c except when a is not equal to 0. it could be radical form or fractional form.
    2
  35372. These proofs are important in cryptography and error-correcting code. Especially when the grant committee is feeling ornery. (:
    2
  35373. Thanks math wizard. I needed this to keep going.
    2
  35374. Can you do an intro to pre calc video? I have pre calc this year idk if it is easy or hard yet I took geo and alg2 last year in sophomore year
    2
  35375.  @TheMathSorcerer  thank you
    2
  35376.  @TheMathSorcerer  you are a great mentor bdw 😘
    2
  35377. I agree with you completely. Consistency is extremely important, not only cause help to achieve the goals and at each goal achieved get a better understand of the math gear. I have a great difficult to keep the consistensy of my studies, cause I have a necessity, before to start get into the details of some topic, to see the hole picture of the subject. Many times I feel like someone lost in jungle. In order to survive I need to keep moving and learn a new skill every day (this is the consistensy), but, even knowing that, I would like to have a drone to see more than the next tree and feel motivated. Most books don't give a student a full picture, they show fragments without connections and this let me bored.
    2
  35378. I think the first and more important goal of a math or physics book is to teach the reader. A book is not an article for specialised magazine. A book is a teacher and the author must never forget that. If a book abuse of hermetic language, accessible only for those have years of experiency and a solid knowledge, so the book don't achieve his first and most important goal, to teach the reader.
    2
  35379. if you run out of question in a text yet undferstanmd the material well you can make up your own questions to answer and test?
    2
  35380. Sir, Can you make a elaborate video on how can we get better in physics word problems ? Really need it.
    2
  35381. I was trying to learn calculus without any background i am in 9th grade and now i kinda see why i can't figure it out all the scegant and curves
    2
  35382. Idk I love the “wake ups” on it
    2
  35383. Just started learning u-substitution, this was really helpful!
    2
  35384. Thank you for the precious advice 👏👏👏👏❤️❤️❤️❤️
    2
  35385. Nice 😊
    2
  35386. I was stock with this problem for an hour until saw this. Thank you so much💓
    2
  35387. We have alot of entry jobs at work I ask people what is the highest math they passed. IQ test so I know how much complexity I can give them at first.
    2
  35388. Legend
    2
  35389. thx for the amazing job :)
    2
  35390. Thankyou sir💜 For a thorough explanation💜
    2
  35391. I liked this guy for showing ua math, but im starting to REALLY like gim once i found out he was YOKED. Look at those muscles.
    2
  35392. I have two books in mind. No bullsh*t Guide to Math and Physics or No Bullsh*t Guide to Linear Algebra. I'm stuck on between studying Integral techniques from the Math and Physics book or Linear Algebra from the Linear Algebra book for a week. Its a hard choice since I m into math to apply it to the physical world and/or create interesting things with math
    2
  35393. I do agree with your points of view! Reading books (reference books or textbooks) is important. However, picking right books is also critical. I personally think that maybe students can aim at a few different approaches, such as asking teachers for advices or look for some helping resource websites or friends. It's easier to find a book that you can manage and at the same time somewhat challenging. That way can motivate the learning to keep on going! Thank you for share the tips though!
    2
  35394. Wouldn't it be easier to learn linear algebra before learning differential equations? Much of the theory of ODE/PDE requires at least some understanding of linear systems
    2
  35395. why are you trying to get books in Spanish? :D
    2
  35396. Thank you
    2
  35397. This one be like Jeff Bezos who didn`t see a barber for a couple years
    2
  35398. I have this video as my home page to remind me to not be hard on myself. Thank you so much, Math Sorcerer. :D
    2
  35399. I'm missing a cat from this simple math life :)
    2
  35400. Wow! Very cool.
    2
  35401. Love your channel Math Socerer! YOU ARE INSPIRING!!!
    2
  35402. But are you gonna be happy though?
    2
  35403. Thank you!
    2
  35404. You're looking great these days!
    2
  35405. I don't even know what a maths proof is but if it's at the start of your video before calculus its probably pretty important and I am guessing grade school kind of failed me.
    2
  35406. I purchased how to prove it and how to read and do math proofs, most of the other books were like 50$ but I will start with those and when I finish If I think I need more practice ill get the others before moving on to something more advanced.
    2
  35407. Man! You're a lifesaver
    2
  35408. Abusive Notation rofl 😂😂😂
    2
  35409. NICE
    2
  35410. This is a good playlist for the book (covers the whole book): https://www.youtube.com/watch?v=04MWqyhD61g&list=PLMcpDl1Pr-viA25VUkHNmcUkWx9usPgyb&ab_channel=RealPhysics
    2
  35411. Sir raised a doubt for your next video on problems...(Not sure ｡◕‿◕｡) 💠. Find the value of the given limit— Limit x→0 5/(2+√(9+x))^cosec x Your f(a)n...
    2
  35412. Good stuff my friend
    2
  35413. How beginner is this book suitable for, I'm thinking I fell off the math wagon around 13 or 14 years old
    2
  35414.  @TheMathSorcerer  stick with the order you've suggested do you think?
    2
  35415. I thought you would say 'Patience'.
    2
  35416. Thicc
    2
  35417. Great video !! your videos a very assuring. They always give guidelines or valuable insights!
    2
  35418. Main mistake: there is no end
    2
  35419. Learning for curiosity is a great way to go.
    2
  35420. My regular hardback textbook had the same format except the author skipped the even questions just giving solutions to the odd.
    2
  35421. https://www.youtube.com/watch?v=2zwZsjlJ-G4 Einsteins actual grades.. please watch very interesting.
    2
  35422. The topic of the video is quite interesting 👍👍🙂
    2
  35423. I delivered to a guy that told me about this book. He used this at college in the 70’s
    2
  35424. this guy is the GOAT:goodvibes:
    2
  35425. Books are immortal!wow!
    2
  35426. Thanks
    2
  35427. As a TA trying to help out a couple classes of particularly demotivated students, I'm really happy you're doing this. It's help me, too. You're truly fantastic as an educator.
    2
  35428. How do you manage to get an A+ in a class when you get a 40% on an exam? Most classes are like 3 exams and a final for math. Kudos to that guy tho!
    2
  35429.  @TheMathSorcerer  Oh, makes sense!
    2
  35430. Practice and be patient.
    2
  35431. It truly is a journey. 1. Don’t compare yourself to others. 2. Ask yourself what is it about math that you enjoy. 3. Self assess and accept some concepts that you may not understand, but don’t give up because it’s not worth it.
    2
  35432. im bad at math but when it comes to assignments and especially tests i will always be having the mindset of lets get this done. It worked for quite awhile, but im not sure if just being confident will just cut it, cause sometimes dumb people(like me) will think they have the right answer until i get my papers back
    2
  35433. My favorite is Euler. I read he has dictated his math books to a boy from the village. He also explained it to him and didn't stop before the plowboy understood the math. It's hard to believe the story is true, but even if not, it shows what kind of guy he was. Unlike Newton, he was very much down-to-earth and philanthropic. Read his "Letters to a German Princess"!
    2
  35434. Great list. I'm a senior in an ME undergraduate program. During my studies, I didn't get to take as much math as I would have liked. Outside my required degree (ODE and LA), the only math classes I took were PDE and Mathematical Physics (I'll take Numerical Methods in the spring). My fiancee is a first-year pure-math grad student and is taking Top, Algebra, and Analysis (measure). She is struggling in her Analysis class, because while an undergraduate, she only took A1 and not A2. I'm excited to chat with her about the list you provided. I don't know enough pure-math, I will take your recommendations on Terrance Taos analysis books (hopefully understand a little of what my fiancee studies). Lastly, should a person with a fresh understanding of calculus and DE learn discrete math or "proof books", you mentioned those before elementary algebra, would they be useful?
    2
  35435. Lol
    2
  35436. That was really helpful
    2
  35437. I love this guy😂
    2
  35438. These shorts videos are amazing
    2
  35439. How much money does your math book collection worth?
    2
  35440. I thought it read The karen of meth, lol. :)
    2
  35441. You are the best!
    2
  35442. SUPER HELPFUL
    2
  35443. How about complex solutions for 3^x=-2? Hehe
    2
  35444. This video was from the heart, thoroughly enjoyable :) I personally do math on Monday morning and then during my precalc course, about 4 hours, then I hit the study center on Thursdays for about 4 hours and then the tutoring center on Sundays for about 4 hours and then maybe in the evenings if I get some time. I try to get in 15 hours a week. Even then its not enough but I still have to work, rest, and live a life. PS: There are about 5 of those Blitzer Intermediate Algebra books in the library for sale for a $1 each, maybe I will buy them and throw them on ebay for cheap just to help spread the mathematical sorcery to others who wish to learn the art of algebra. Thanks for putting out another awesome video, I really enjoyed this one!
    2
  35445. How to get these books ?
    2
  35446. Now I'm picturing a stats course where the homework is to figure out exactly how the prof curved the midterm.
    2
  35447. I've got a copy of Crandall's "Dynamics of mechanical and electromechanical systems" That's sketchy like your Vol-3... Chinese characters on the title pages and really light, all most see through paper. Most certainly an Asian knock off of some sort..... Get it? Vol-3 Some sort... just nerding out with ya! lol
    2
  35448. Happy New Year Sir. You are a great teacher and I respect and admire you. I hope I can learn mathematics from you, currently I always self-study mathematics - a bit more deeper and advanced mathematics that school teaches(I am a middle school student), and I love it. I try to do at least 1 hour of mathematics every day, generally doing 2 hours.
    2
  35449. One hint for the standard approach when finding the roots of the quadratic trinomial When the coefficients are too big, is to multiply or divide those coefficients with the same number In this case x^2 - 18x + 72 = 0 has the same roots as (1/18) x^2 - x + 4 = 0 By multiplying or dividing with a real number except 0 (which in the case of the multiplication brings all its points to the x axis, and in the case of the division, throws away every point to infinity) we are stretching or squeezing the parabola vertically, but the points where parabola intersected by the x axis (where y= trinomial = 0) will not move vertically because their y is 0, therefore this can be allowed if the purpose is just to find the roots, however for any other purpose it is not allowed.
    2
  35450. This lecture was really helpful for me. By the way are you using the book "Differential Equation With Boundary-Value Problems??"
    2
  35451. I thought math Phd programs in Europe (Germany or France for example) almost certainly require you first complete a Master's or you have very low chances of being accepted; Is that not the case?
    2
  35452. OK that's nice, but can I, like, have your entire library behind you? :)
    2
  35453. Word problems are actually better 90% of the time because you get partial credit instead of zero
    2
  35454. 23:33
    2
  35455. Math Sorcerer looks like Jeff Bezos but with a cool hairstyle. I like your videos :)
    2
  35456. Thank you for this c:
    2
  35457. Do you even Blink
    2
  35458. It is very interesting this view of a solution book. For those who just buy second hand textbooks, solution book are almost a mystery object.
    2
  35459. Loving this kind of vids
    2
  35460. We want study live with you..
    2
  35461. Who knew that calculus could smell so good.
    2
  35462. I love the layout and the font from what I see here. Thanks for the tour.
    2
  35463. this book is kinda misleading lol
    2
  35464. exactly my assignment... thanks fada
    2
  35465. I'm in my late seventies but of late I have become more interested in mathematics than ever before. The best subject I have ever loved
    2
  35466. This Fun videos gives entertainment/refreshment while exam time 😂
    2
  35467. Thank you I want to enter computer science😢 , my mathematics skills are horrible I will try this book.
    2
  35468. Best of luck all of you struggling with math
    2
  35469. The Elementary Analysis by Ross book is what is used for my first year calc and introductory analysis course.
    2
  35470. i come from the uk and doing maths alevel and all my life i was awful in education untill i had this maths teacher who made me DO IT and i never thought i’d be good at maths and now i’m taking it to the next level and this level helped me a lot tysm
    2
  35471. You play league?? Nice!
    2
  35472. Thank you for this review, I'm planning to self study differential equations next month and the timing couldn't be better. Some friends recommended the differential equations book by Tenenbaum as well as schaum outlines, What are your thoughts on those two books for self study with no prior exposure to differential equations?
    2
  35473. I think I've seen it from your other videos that failure is ok. in fact, I think failure is a great motivation, reminder to comeback more focused and redeem yourself. But being committed, and not cheating yourself is the key like you said.
    2
  35474. Thank you. Well-explained.
    2
  35475. You are not just a very good math professor but also a great person, thank you very much for this !!
    2
  35476. Will you reply Lol! To me?
    2
  35477. Thank you teacher
    2
  35478. Nice video
    2
  35479. When I saw the thumbnail my mind immediately went to functions, as in f(x) = x^2 + x is even. And I was like "What the fuck is this guy talking about"
    2
  35480. It's your opinion but best opinion approves you so you have the best opinion.
    2
  35481. thanks so much!
    2
  35482. What are your thoughts on "Introduction to Partial differential equations with applications" by E.C. Zachmanoglou and Dale W. Thoe?
    2
  35483. I think it's interesting. If we compare this book with a 21st century book of the same topic, we can get some historical views of mathematics. Being advanced in 1965 is kind of different from being advanced in 2020.
    2
  35484. This would be done at the end of secondary school before Uni
    2
  35485. Thanks
    2
  35486. I THINK HE LOOKS LIKES JEFF BEZOS! now that I got your attention... Good luck on your test ;)
    2
  35487. Decision begs alternative focus and energies as gravity in consideration of valuable knowledge.
    2
  35488. Totally agree. Passion and discipline are the secret for success
    2
  35489. You for sure make us laugh dude! thank you for caring
    2
  35490. I Just want to thank you, to take your time to makes this videos, you are helping so many people.
    2
  35491.  @TheMathSorcerer  It sure is. I have a high school textbook from my dads friend on algebra 2 and trigonometry from 1968. It has lots of good exercises and I still use it sometimes, even though I am doing calculus now. It is always good to have a good solid foundation in algebra, especially for extremely difficult math.
    2
  35492. I don't know how to thank you
    2
  35493. I LOVE YOU TO THE MOON AND BACK I HAVE AN EXAM TOMORROW AND IT'S SO FUCKING CLEAR I LOVE YOUUUUUUUUU
    2
  35494. Abstract algebra shows that complex number are a perfect cycle
    2
  35495. thank god I'm not the only one who goes around snorting books bc of how good they smell
    2
  35496. I don't know his age, but I suppose he's younger than Queen Elizabeth.
    2
  35497. I just watch anime like classic Saint Seiya. It will be truly inspiring because the main characters get their ass kick to the point of at deaths door, they still pick themselves up and fight on. If you watch some of this anime series' later episodes and story arcs, you will see what i mean.
    2
  35498. 5:42 the hardest part in this book is if u want to learn regression it is a very very big topic especially in machine earning btw Solution is spoiling people
    2
  35499.  @pinklady7184  Amazing tip, I am going to try it out. Thanks!
    2
  35500. 💪💪💪 Just what I needed at this time
    2
  35501. Helpful video sir....Thanks.
    2
  35502. Why he's looking like Jeff Bezos to me 😢
    2
  35503. Thank you so much
    2
  35504. I'm still working on Sets right now, and it's CRAZY 😂😂 It's like getting dropped off in a foreign math's country. All these crazy new math symbols constructed in a new way, I have to decipher the math and spell it out in English, B is the solution set such that x is an element of set A, and where x is a real number less than 8, or, A is an intersection of B, which is a subset of the union A and B. That one melted my brain for a bit because of the symbols. Got a few more sections before I reach tautologies, and only 2 of my books have a brief section on it, so this will definitely be useful for me. Hopefully, tautologies are hidden away in other sections of my books.
    2
  35505. Wish I had had them when I started University back in 1978!
    2
  35506. Thank you sir...
    2
  35507. I do like your videos but instead of memorizing trig values for the common angles, I tell my students that learning about how to use the two reference triangles is a lot easier. You can't memorize math like a history class, you have to learn and understand where things come from.
    2
  35508. Thank u
    2
  35509. i agreed
    2
  35510. Wrong Edition .... 4th , 5th and 6th editions are the mature and ( "spiritual") non-mutileted EDITIONS...!!!
    2
  35511. Gracias.
    2
  35512. Too late at this point, but not knowing limits very well (Topic 2 in this book) hurt my progress in Real Analysis. I still made a good grade, but I could have done with less speed bumps. This would have been nice practice since the problems are solved and if it shows all the steps you need. btw, all this becomes very critical in classes like Numerical Analysis or Advanced Engineering Mathematics, in case you were wondering why the hell we need to do these things, aside from the intrinsic appeal that it has of revealing some of the invisible rooms in the universe.
    2
  35513. 👍
    2
  35514. Thanks for this solution...❤️
    2
  35515. I just wanted to be included in this section 😊
    2
  35516. You sold me! Just ordered.
    2
  35517. you don't need to buy christmas stockings
    2
  35518. haha wow I have encountered this book before years ago. There were several editions, I am guessing it had about 4 editions
    2
  35519. hahahaha this reminds me so much of my vector calculus professor 😅 pretty accurate.
    2
  35520. Thank you
    2
  35521. eu tentei de todo modo buscar a matemática por ela fiz o meu melhor e agora sinto que perdi. fazer o que, por ela eu fiz de tudo. Foi a única coisa que eu realmente amei,lutei e venho com o coração triste te dizer que essa causa eu perdi. Valeu pela ajuda.
    2
  35522. This video helped me with a homework assignment for Complex Analysis. Thank you.
    2
  35523. 😂😂😂😂😂😂 dude are you distant cousin. Perfectly done
    2
  35524. masterfull
    2
  35525. Thanks alot!
    2
  35526. I did not believe that you play Lauge
    2
  35527. I'm 42 and I'm considering if learn new stuff on PLCs or approach a real college level course. Most of my math comes from self teaching, painful and less useful than I can ever expect so far but I also have that 5% totally worth (on my job) that comes AFTER deep research and application on the field and that smarter people (and perhaps paid much better) knows since their 20s. Am I done? --- "Not today." - Syrio Forel
    2
  35528. Have you done a review of “AHA! Insight” by Martin Gardner? His work would also make an interesting video on game theory. A video on George Polya would be a good way to reinforce study skills & pedagogy. Bring in some detailed background stories to increase interest in the math. Just a thought.
    2
  35529. Thanks man this really helped me
    2
  35530. Math Sorcerer... Quit telling me to buy old math books.... I will be buying all editions of this and compare any typos or misprints on a graph to infinity..... Thank you for posting these, helps maintain sanity even though I'm cowering at my own whiteboard now with no solutions and tons of problems
    2
  35531. this is probably the most succinct way this could possibly be done, and you explained it perfectly, thank you.
    2
  35532. Correction: humans use "infix" notation (e.g. "3 + 5"); some HP calculators use "postfix" notation aka Reverse Polish Notation (e.g. "3 5 +").
    2
  35533. I was accused of cheating on the multiple choice section of a final exam, the thing was we were seated with two seat between us and every other row and ever other row of students had a red or blue test. I dont know how I was cheating, I would have had to be able to see 4 rows down and three seats over, plus my lab grade was better than my multiple choice and the lab was stations that each individual student did by there selves moving from station to station. I denied it and they gave my the grade. I guess because I look forward when I think things out instead of down they thought I was copying .. anyways it was an class I had to take to complete my electives that were totally not related to my major.
    2
  35534. Jeff bezos?
    2
  35535. what if it was the exact problem but instead of cos its sin?
    2
  35536. Luis Lozano facts we need that
    2
  35537. Nice video!! Unfortunately, all nice math books I have are on pdf format in my computer. But I think I am able to focus besides that. I will take advice three into practice!!
    2
  35538. Salam dari Indonesia
    2
  35539. BELEIVE IN THE ME THAT BELEIVES IN YOU!!!!
    2
  35540. What about computer science ? :O sadMonkaS
    2
  35541. Last semester I got an A in my abstract algebra class. We used a concrete introduction to higher algebra by childs. Do you think I can start reading dummit and foote?
    2
  35542. Building muscles and strange hair fonicles
    2
  35543. What would you recommend for people considering going into Medicine 👀
    2
  35544. You need to get some boxes to place your books like the Vatican does with its documents. Great video! I always loved reading and collecting books so this channel was a treat to find.
    2
  35545. Procrastination: intense laughter
    2
  35546. Would be great if you could interview the author please or some mathematicians from a range of disciplines - I mean - how did he become so great at maths??? Was he aware that he might have sacrificed or lost friendships due to so much time devoted to the books? The author states that programming is akin to composing music but a lot also hate programming or find it too tedious perhaps so it would be interesting if he could say why he believes this - I'd like to know if he composes music himself or why he compares programming to composing music - I imagine that learning those books would be a lot more difficult that composing music or maybe both are just as difficult - in which case how can something so difficult be enjoyable to the normal person?
    2
  35547. A version of this book is available on Amazon or eBay, but one review on Amazon says that its version (published by University Press of the Pacific) contains errors in the equations (not in the English translation) and so must be compared against the original version to avoid difficulties.
    2
  35548. Thank u sir
    2
  35549. Lol when is there ever extra credit
    2
  35550. Soft cover “unfortunately”? You later say “you can lay in bed with this book, and you can read it…”, would you do that if this was hard cover? No. Lol. So please appreciate the soft back
    2
  35551. I've been putting a lot of time into my c++ class but I really want to start doing more math. I love programming and all but there's nothing like the satisfaction I get when I learn something new in my math classes. P. S: It's so cool that you play LoL! It definitely takes a lot of time to learn. Stay safe 💕
    2
  35552. 👍👍👍👍👍👍👍
    2
  35553. MATH SORCERER LEAGUE STREAM WHEN???
    2
  35554. Hi sir, I m a big fan and I was wondering do you have theorems in maths ?
    2
  35555.  @TheMathSorcerer  ,😀 good luck
    2
  35556. Hey bro..thank you for your advices, i want to tell you....i am in prission and my Dream is study a naster in math, amd gor sure i Will. I AM 54 YEARS OLD. God Bless u.
    2
  35557. Good try but I do not buy it. I think one needs magic stick, like one stands in background. Its obvious - magic stick and no need to study at all!
    2
  35558. I've worked as a math person for thirty years, and I'm thinking about retirement. It's still a great pleasure for me to sit down with a text or a paper to see what treasure there are. I am grateful.
    2
  35559. This is great! Thanks a lot!
    2
  35560. ❤❤❤❤
    2
  35561. Math "sorcerer"? I think you should change the name of the channel into Math "Warrior" man, look at your arms XD
    2
  35562. This would’ve been great to get in my recommended BEFORE my finals 😭. Will do next quarter and will do better.
    2
  35563. Watch this video on 2x speed, thank me later! (Great content btw)
    2
  35564. please don't response free education...
    2
  35565. hey man , cool keep it up
    2
  35566. I'm still in middle school and currently teaching myself calculus 123 and love it. I started in September or November 2020 and already really enjoyed it. I learned trigonometry some necessary basics of algebra 1 and 2. Afterwards I studied differential calculus and currently I do Integral calculus and series'. I'm totally in love with maths and physics. Even though I only self study for a relatively short period of time, I totally agree with your points. When you learn something it really sticks with you for at least a few months (I said only a few months because I haven't experienced self studying for a longer time). Btw don't wonder if my commas are falsely placed or I if I did other mistakes but I'm from Austria and as I already said still pretty young.
    2
  35567. about to take calc III. I got a b in calc I and I took calc 2 twice. I struggled the most with convergence and divergence problems. To be honest, even after passing the class I still cannot get my mind to understand it. Wish me luck in calc 3! Can't wait for DE and LA. I'm hoping to start a career in the actuary field, if anyone has any advice on that field and would be kind enough to share it, it would be gratefully appreciated. Thanks.
    2
  35568. Thank you
    2
  35569. This is up there with my gag last semester turning in an assignment with "Trivial, proof is left as an exercise for the reader."
    2
  35570. I’m now on college, I’m taking an electrician program and a Pre-Calculus class because I’m thinking to continue electrical engineering but math scares me! Which books do you suggest me to buy. Also, I wan to learn what’s next pre calculus.
    2
  35571. Expect a PhD to take 6-7 years.
    2
  35572. Why these books are look clearly but your face doesn't
    2
  35573. This video has inspired me to be a mathematician.
    2
  35574. are there any ebooks or pdfs available to read online please let me know ..... thanks in advance...: )
    2
  35575.  @TheMathSorcerer  Thank you oh! ''THE GREAT SORCERER!..''
    2
  35576. 🤗 redo your brand logo and make better looking merchandise, will definetly Buy if it looks good or is inspiring !
    2
  35577. Personal advice, although I am only a 2nd grade math student, when you are reading a proof or a theoretical problem you will often tell yourself that you understand it if you can read 100% of it and make total sense. In my opinion however you will understand it way more if you also question why the proof/solution unfolded in such a way, it will increase perception and understanding. SO yeah do not only ask of yourself to check the correctness and logic of steps but also the meaning behind each step, the "why".
    2
  35578. Could you make a video about lambda calculus notation? It's so difficult to grasp!
    2
  35579. Same here. I didn't listen to my gut feeling telling me to do what I enjoy. Now, it's time to go back on track.
    2
  35580. U missed Linear algebra done right.
    2
  35581. Very interesting life & story! Another interesting mathematician is Galois
    2
  35582. Yeah! You got to be committed if you are taking a course. It is not self administered Home Schooling where you go at your own pace, you know, where the Cat Videos can't watch themselves, but when you take a course and you don't already KNOW IT then you HAVE TO KEEP UP. There is a New Skill coming at you every class, and that skill forms an inexorable link in the chain, and if you are not solid on it then the Next Stuff will be bewildering and difficult. Yeah, it is like walking the High Wire at the Circus... just one lapse of concentration and you fall off and die... or your GPA gets killed.
    2
  35583. Please make videos on mathematics in masters research
    2
  35584. Did you have to include the word, literally?
    2
  35585. Book : looks like a brick This guy:" Really good BEGINNER book"
    2
  35586. Amazing proof.
    2
  35587. Mate , do you live in Usa?
    2
  35588. I also use such paper with 0.9 mechanical pencil and use stapler to connect the paper together .
    2
  35589. how long will it take me to finish these. I know knowledge is infinite but hey
    2
  35590. I also want to share a different point about brain. Sometimes i came across math problems i can not solve. I go to sleep and the day after boom i somehow manage to solve those problems. Definitely something happens in brain
    2
  35591. Great guy
    2
  35592. Thank you, sir.
    2
  35593. The homework...is just good to do." LOL
    2
  35594. Hello professor! Thank you for this advice. According to this idea, how should we tackle the exercises' sections. Should we just skip them? Thanks!
    2
  35595. Great stuff
    2
  35596. It was a great time watching a real Pro on a Pro channel
    2
  35597. I don't know who needs to hear that: There are people who have a natural talent for maths related stuff! Most people don't but the little interest they may had, was probably crushed by maths teachers in school who didn't understand how to teach people who are not talented <- That was me! And when I started my Sociology bachelors, I feared statistics (we also had an asshole professor there!). I read hundreds of books on the topic (because somewhere out there, there is always a book, a video or some other ressource that will explain a concept in a way that you will finally understand!). After all I got it! And now I am studying in my Masters with an emphasis on advanced statistical methods and procedures. And even though I still struggle more than my peers who are naturally talented (and not to say that statistics is as hard as "real maths") I am here to give you hope, that YOU, too, can one day enjoy maths. It is never to late to learn it! Greetings from Germany ;)
    2
  35598. Jeff Bezos?
    2
  35599. Super easy to understand! I get it now. Thank you!
    2
  35600. Those are great inspirational and enlightening worfs from sir Newton of New age. Thank you sir.
    2
  35601. I self study by working on homework problems suggested by the instructor. After 2 semesters I realized that going to lecture was mostly a waste of time ,and it exists to justify the professors salary. Professors who don't care and professors who want to inspire people try to do a good job, but it just never benefitted me intellectually. What really helped was using the theory myself and making it truely my own. I highly reccomend just studying off of instructors suggested or mandatory problems (these are the problems and concepts they expect you to know in and out in any shape or form), and if you have the luxary spend more time studying other problems you can solve using the same theory but with a different approach. Self study is very difficult and I found that utilizing office hours, online resources, your classmates, whatever it is will be necessary.
    2
  35602. a = re^(iø) = rcosø + irsinø a* = re^(-iø) a + a* = r(e^(iø) + e^(-iø)) = 2rcos(ø) = 2Re(a)
    2
  35603. Can i know , in approx how many months one will cover the whole set of these books ???
    2
  35604. Knowledge builds upon itself; self study will eventually make you better at your mandatory studies too. When you acquaint yourself with a variety of disciplines within a field, they each give bits and pieces that can be applied elsewhere. This is why I'm always digging around, filling in the bigger picture, finding how everything relates to everything else. Math used to be purgatory for me in high school, I'm retaking it independently now and can't understand why it was so painful back then. If you have low self-confidence in an area of study, you'll approach it differently than if you believe you'll understand it. I check myself by thinking back to stuff I was good at and remembering how I went after those things, and applying the same courage to learning maths. Self-study is the well of happiness, it recharges you and keeps you fresh. I've done self-study since junior high, teaching myself a bit of Latin, a bit of Irish, Middle English, medieval literature, archeology, just stuff that caught my fancy at the time. Helped me think independently and was useful even at university. Love tumbling down a rabbit hole like that. Thanks for a great channel!
    2
  35605. Thank you
    2
  35606. stumbled upon a video of yours. Going through your channel. I'm here for it
    2
  35607. Hi, thank you for this beautiful message. You are pretty awesome !
    2
  35608. Excellent explation, thank you sir😊
    2
  35609. Cheers m8!
    2
  35610. By the way, is your name actually Isaac? I always assumed that one person who called you Isaac Newton knew you and joked about it to constantly leak you name while pretending they weren't.
    2
  35611. Before this video i never believed math can be studied without prof/ teacher
    2
  35612. First! Also, thanks for the video!
    2
  35613. Awesome , thank you
    2
  35614. Amazingly explained!
    2
  35615. Thanks a lot sir.
    2
  35616. Great vid as always
    2
  35617. Maybe someday give some recommendations for books available for free on PDF. Start with Elementary Differential Equations by Rainville, 6th Edition. (This was text used for my undergrad diffeq course, taught by Sam Selby of CRC Math Tables fame. Great course, good book)
    2
  35618. Thank you sir
    2
  35619. Yes I will have a calculus exam tomorrow
    2
  35620. A good instructor is key to understanding math, or anything. I had a fantastic algebra teacher in high school, Miss Martin. Made math fun. Some 60 years ago. Math on YouTube is good.
    2
  35621. Nice video! What sub-branch of math is this from?(I.e where could I learn more?)
    2
  35622. Abstract algebra, group theory
    2
  35623. TETRIS is the standard!
    2
  35624. Thank You So Much I ♥️ your channel and the way you explain 🙏
    2
  35625. What are your thoughts on coming up with your own math problems? I find that it's a great way to test my understanding of the ideas in a way that's deeper and more memorable. Even though it's much more challenging, you can do it wherever you are without needing a textbook with you.
    2
  35626. Thank you.
    2
  35627. Have you read the book Gödel Escher Bach? It is not exactly a math textbook, but it does a lot with formal systems, and Gödels incompleteness theorems are mathematically very interesting, and it deals with those a lot.
    2
  35628. That feeling when you finally solve a problem that you've been working on. Not only that, seeing the usage of complex math in other fields and knowing the secret behind them are only a few of many ways that allow me to achieve peace :)
    2
  35629. I'm from India and I'm being ur fan
    2
  35630. Doing anything with matrices by hand is the worst.
    2
  35631.  @TheMathSorcerer  Well...don't say thanks unless you plan on carrying on. And many examples of Mac(whatever) too.
    2
  35632.  @TheMathSorcerer  Like prodigial style where you do a thousand examples that even the professor wouldn't have thought of it!
    2
  35633. I totally agree. I as someone that has made a huge skip from a vocational high school in tourism to now studying physics in college, am really behind in all areas. I know I am capable of learning everything, catching up, and doing more, but the only thing I need is some time. But therein lies the problem... College doesn't give time even to the students that had a great physics and mathematics oriented high school, yet college demands of me to be capable of catching up and doing everything the others are otherwise I fail the year :/
    2
  35634. Studying accounting. Really appreciate this info. Cheers 👍👌
    2
  35635. My god this is so much simpler
    2
  35636. thanks
    2
  35637. I will be honest, When I saw the Thumbnail, I screamed like the Beaver from the Beaver Screaming Meme 😂
    2
  35638. Professor do you every clock your time just to see your average
    2
  35639. Anton Howard calculus third edition very good do a review on it if you have it
    2
  35640. Currently I have been brushing up on the college algebra stuff
    2
  35641. Thx for sharing!
    2
  35642. Love How You Switching It Up And Getting Some Scenery
    2
  35643. good knowledge sir quality teacher
    2
  35644. ADVICE: Years ago I was determined to go back and at least study up to Cal.I which I took in college. I was doing this on one of those websites we'll just call it Shaunaccademy for sake of argument. I felt like I was in a washing machine going round and round. I've started back again and am feeling really good going through the actual books. And best of all it is really enjoyable. Oh, by the way the Udemy site is or was giving me problems with the purchase of your course. The advise one.
    2
  35645. yay
    2
  35646. I wonder to what extent these girl's group-study skills contributed.
    2
  35647. I posted this in another discussion, but I don't know if you were too busy to respond or just didn't read it, so I will try again. I am an Italian math student I am starting my third year of undergraduate, which is going to probably be my last if everything goes well, I have probably the equivalent of something between a 3.7 and 3.9 GPA. If I want to go to grad school in the US, will I be able to get into a decent school by just completing my undergraduate degree? Or is it advisable to first get my masters and then go to grad school in the US? The problem with the latter is that I am a bit scared that the classes in grad school will mostly be what I studied in my masters and they will basically be two wasted years, but the problem with the first is that, I am worried that , despite good preparation, because I think my university had very good professors and 95% of my courses were math, schools in Italy aren’t regarded as highly as other places, so it will still be hard to get into a good school. Could you maybe give me some clarity over this topic, and what in your opinion would be the preferrable choice? To give some context on the university, it's probably inside the top 20 in Italy, but I doubt American professors would know anything about it and could probably think it's a no name university. Also, I've seen the math GREs and they don't really look that hard for me, I feel like I could probably get a very good result.
    2
  35648.  @TheMathSorcerer  Yea I had seen the video, it was really helpful! By the way, I live in sicily, really amazing place but too narrow minded for my taste, I always felt myself trapped in here, which is the main reason why I want to go abroad, and I always was very good at speaking english when nobody here actually is, so it only made the trapping feel even worse, it is very frustrating being almost bilingual and being able to only speak one of the languages, I am always thinking in english and people think I'm going mad when I take long pauses to translate in my head. Also yea, my reccomendations should be pretty straight forward since I have a very sweet relationship with most of my professors, the GREs should be fine as well. I just need to apply and, worst case scenario it's some dollars spent on applications. Thanks a lot.
    2
  35649. Oooo...myyy...godddd..... NEWTON
    2
  35650. Abstract Algebra exam in 3days, Thanks for uploading all those! Do you have videos/recommendations for the sylow theorems?
    2
  35651. Can you please make a video on how to start with calculus?
    2
  35652. I‘m an algebraic number theorist. It has been proven that there is no algorithm which determinates if a given polynomial has integer solutions. Therefore we can only solve the problem - if polynomials have integer solutions- for certain classes of polynomials and this job cannot be finished :)
    2
  35653. thanks bro
    2
  35654. Hey man fucking here first.
    2
  35655. that little birdie is everything
    2
  35656.  @TheMathSorcerer  Good work 👍👍 👏👏👏👏
    2
  35657. Thankyou so much, for your time, good content
    2
  35658. I really need to prioritize time to read these
    2
  35659. Just get the three main parts instead of point plotting, Period =4pi. Amplitude =1/2 and phase shift is pi/2 so the main points for x can be listed easily and the shape of the curve is assumed to pattern the usual cosine starting from from 1 to 0 to -1 to 0 and then back to one when x goes from 0 to 2pi. That is the way I do the problem.
    2
  35660. Thank you so much ♥️
    2
  35661. I'm going to talk about something I've never talked about in videos... hair care
    2
  35662. Love 🇮🇳🇮🇳🇮🇳
    2
  35663. He was believer of God By his will his brain exaggeratedly created horrified mathmatic philosophy of understanding infinite in finite world
    2
  35664. Thank you very much sir
    2
  35665. Video I didn't know I was waiting for, thank you!
    2
  35666. I know this so deeply
    2
  35667. Jeff Bezos really did change a lot
    2
  35668. Thnx, I have final exam after 3 days u helped me
    2
  35669. Crazy question: Is there such a thing as quadruple integrals?
    2
  35670. This video.and comments section is soooooo cathartic. I always what it was just me. It's not the math I hate it's the math educators 😅 So glad I found this channel for this and all the book reviews
    2
  35671. Mr Sorcerer can you do a series for statistics 1 etc plz Ty.Btw your video advices are priceless.
    2
  35672. I purchase all his books!
    2
  35673. what up sir, great service :)
    2
  35674. I had a week of control exams (first time in college) I messed up I'm sad a bit but I get some motivation especially when I saw people laughing at me I will prove to them who's the boss who's the man ! And you're one of the greatest if not the greatest man who who motivated me thank you so much sir!!
    2
  35675. im not even takin math and i already feel like crying from stress
    2
  35676. Like
    2
  35677. EXCELLENT!
    2
  35678. Thank you sir....
    2
  35679. Good handwriting, time and MATLAB.
    2
  35680.  @TheMathSorcerer  I enjoy your videos. Especially your motivational videos. I'm a calculus failure who taught himself mathematics. I prefer to study linear systems and diff eq. I have the same number of books you have (possibly to many). I am currently working on my graduate degree electrical engineering degree with a specialty in chemical instrumentation. I wish you the best.
    2
  35681. Just wanna ask if you sell ur used books?
    2
  35682. Laziness of the authors . Simple. Counterexample? Donald Knuth.
    2
  35683. Thanks.
    2
  35684. I have a paper copy of the internal manual for C from Bell Labs, the text that preceded this book publication. Don't laugh,... Somebody left it in Boston's Park Street Under for the Red Line. I picked it up and learned from it while commuting. Later I got the same C book, which is more complete than the internal manual.
    2
  35685. Maybe it is also about the teachers some people are lucky to have in their lives...
    2
  35686. 😮
    2
  35687. OMIGOSH, I just looked through my piles.. I have a certain nostalgic inclination toward the Glibert Strang book.. BUT, feel compelled to mention a really unique textbook on the topic : "The Manga Guide to Linear Algebra" It's actually an actual book. It covers a bit of imaginary numbers, has intro to logic and goes into the topic in an approachable manner. I own a copy, but haven't given it a serious read-through yet. But it REALLY looks non-trivial.
    2
  35688. Thanks for this information
    2
  35689. This person should get on the pre-medical track as an undergraduate. There are many different degrees that help with pre-medical requirements, but they will need to take many different science courses including 1 year of Chemistry, 1 year of Organic Chemistry, 1 year of biology, Calculus 1 and 2, and possibly other math courses depending on what their degree is for. I'm currently an undergraduate student who is on the pre-medical track pursuing a degree in Neuroscience.
    2
  35690. I would bet money that the theorem that you are talking about in the video is the sylow 1 where you prove by induction on the order of G, and yes that’s after group actions. 😉 keep up with the good work.
    2
  35691. Wait, there's an advanced calculus too ? Isn't Calculus advanced in itself. Dang
    2
  35692. You’re amazing 🥺
    2
  35693. Different processes, but others may be simpler and more refined.
    2
  35694. In my opinion it should be Analysis and Algebra. A real differentiating factor between maths major and other scientific courses is the way to think and formulate logic in abstraction.
    2
  35695. @Kathleen McKenzie cool! Ya know I should probably clarify what I said. I didn’t throw my cards away to quit. I just went and found different ways to practice! 😆
    2
  35696. When did Jeff Bezos grow hair and become a math professor?
    2
  35697. thank u very much
    2
  35698. Best explanation ever. A bundle of thankfulness to you Sir! 👍
    2
  35699. This is so true what you said. For exmple I found out that 4 major maths/CS classes are the maximum that I can take and perfem well on the finals. Everything beyond that is a total overkill for me. In fact this number is even recomended by the faculty. Also I agree with the fact that you have to have a good momentum inorder to study.
    2
  35700. People in my class are doing it faster than I :/ So gotta study more, instead of procrastinating.
    2
  35701. THANK YOU!!!!
    2
  35702. In Israel you study up to the middle of calc 2 in high school 0.0 but I dont know how you start at uni cause I didnt go
    2
  35703. did u review any financial mathematics book before?
    2
  35704. 3:30 To pay the fee, you would need to be >130 years old. 6:45 writing small would save both ink and space for budget conscious print shops. I like that this book makes some use of Euclid (see p6), I seem to have missed the HS dose of Euclid, plus if you played the Euclidea app, you can see the ideas aren't easy to memorize and could use quite a bit of repetition that can only ADD to your skill set.
    2
  35705. From Saudi Arabia, I love you so much. Thank you so much.
    2
  35706. I'm glad to hear it is real analysis as that's the one I found hardest.
    2
  35707. Wanted to start relearning math next year. THANK YOU!!
    2
  35708. Hey brother where are you from
    2
  35709. Thank you so much, you made my life easier.
    2
  35710. The Math Sorcerer it’s not my real last name I wanted to do a YouTube channel and I only made one REALLY bad video where you can’t even hear me so I thought it would be fun. But then I got too busy to do anymore so now that’s just what I’ve got, My name is ben and so I was being cheeky haha.
    2
  35711. Do more interviews with mathematicians and authors and.
    2
  35712. Nice.
    2
  35713. You’re good at everything but you have weakness. Every skills has weakness. Math is the opposite principle as Cultivation. Math: Intelligence(Boosted) Physical&Mental(Normal) Cultivation: Intelligence(Normal) Physical&Mental(Boosted)
    2
  35714. Thanks so much - great video!
    2
  35715. The point you made at 6:00 completely changed my perspective on how I see myself when I'm not feeling up to my self study for the day. Thank you.
    2
  35716. Abstract algebra is hands down the hardest because it's just too abstract
    2
  35717. Sir , can you tell me some good books for competitive programming/algorithms ? Thanks alot.
    2
  35718. Thank you for the tip!
    2
  35719. I wonder how many vierwers are looking at your background and envying you having a garden. How much land do you have? If I have your land, I would be growing food crops, fruit trees for birds and flowers for bees, deep-rooted plants for underground lifeforms.
    2
  35720. I am 63 and I used to be an engineer. I used maths as part of my job, but computer simulations took over and although I specialised in these, much of the foundation of my maths knowledge became forgotten... until I started tutoring my son to help him through his GCSEs (secondary school in the UK for from age 11 to 16 years old). This meant I had to remind myself what I had forgotten and suddenly I remembered how beautiful mathematics is. My advice for what is worth, is, get to understand the fundamentals, and everything else will follow. My favourite topics are linear algebra and comlex numbers, although I find the more abstract side of mathematics extremely intriguing because it widens the horizons beyond those that you can relate to the physical world which make it for me a more formidable task in the learning of it. I wish the gentleman the best of luck on his mathematical journey, and age is after all only a number.
    2
  35721. I thought it was going to be proofs😆. I treat my math books like a workbook😆. In my humble opinion which is based on my experience of working through math problems and books, I think people struggle in some classes or textbooks because those classes or textbooks assume the person already knows the math required. Example: I have trouble with Calculus book 1 but not with calculus book 2. I have trouble with Precalculus book 1 but not with Precalculus book 2. I think its because Calculus book 1 assumes I know certain math required to do the calculus, but Calculus book 2 gives simple detailed explanations in case I don't know already know the required math. The Charles Mckeague Trigonometry can be found very cheap. I won't say where I saw the book at for a cheap, cheap price, but I've seen it cheap.
    2
  35722. Iam inspired 🤓
    2
  35723. Isaac Newton giving us some advices.
    2
  35724. I watch your vedios sometime to rebooting my works. I like your vedios
    2
  35725. I don't find it very hard to learn solving algorithms but I have no idea how to remember what I have learned months ago without recalling every now and then...
    2
  35726. Thicc
    2
  35727. This came at the perfect time because it's the (almost) end-of-semester season. Thank you!
    2
  35728. This is good, although maybe use simplified induction to show that for all n >= 4, n! > 2^n
    2
  35729. What kinda jobs opened up for you after getting masters in data science?
    2
  35730. Thank you from California 👍🏽👍🏽
    2
  35731. Thanks sir
    2
  35732. That's an exam on Statics and Mechanics of Materials. It's basically physics applied to mechanical/civil engineering.
    2
  35733. Awesome explanation!Thank you so much
    2
  35734. Book sniffer! Lol
    2
  35735. Sir , do you know a good website to buy used math textbook ?
    2
  35736. This channel is the best at math teaching, has entertaining vlogs and an awesome community/leader. Def subbed. :^)
    2
  35737. Would love a learn maths from the beginning video. Like EXTREME beginning. Caveman level beginning. Because I'm dum dumb. I have recently started to love math but I suck at it.
    2
  35738. Thanks from Korea!
    2
  35739. cos^2 = cos(2x)/2 + 1/2 was my bread in butter in communications systems. We usually didn't bother with the equivalent sine identity because the sine usually had the imaginary component and convenient to ignore.
    2
  35740. Can you please please post a video differential equations lecture about 6.3-8.1-8.2-8.3-8.4 I have an exam and your lectures are so smooth and clear. Couldn’t understand it from other videos My exam at 3-may Can please do it 🤕
    2
  35741. Love your videos Sorcerer. I know that anytime I need suggestions you've got a video for it. Thanks to comments for suggesting other books as well. I love collecting pdf's No one can have too many texts haha.
    2
  35742. Thank you soo much.
    2
  35743. I want to become an artist of some sort because of the futility of life if i become what i dream of it might not fulfill me but my work that might outlive me that will definitely do. But I ain't no artist
    2
  35744. Sir send me some problems of oblique asymptote
    2
  35745. I have this exact book 2nd edition. However mine has very worn pages lol
    2
  35746. acck (I love ur voice) I love the way u teach, esp the part where you say "Let's do another oneeee"
    2
  35747. My adoptive dad is a retired math and science hs teacher. I am Asian and am terrible at math, but its partly due to a learning disorder, but I do agree with you. I haven't given up trying to learn math.
    2
  35748. amazing book, thanks for the recomendation
    2
  35749. But they also let sinx=x
    2
  35750. Isaac Newton? Lmao
    2
  35751. Can you also do a proving & abstract algebra version of this? Thank you so much
    2
  35752. I don't know what happened with my mind, send more formulas , as long we have the formulas we are good. God bless you a lot .
    2
  35753. Please make a video about lost inventions in mathematics (Example, Equations, formula, Rule,Standard Result Etc..... I don't know more that .......)Vanished or erased From Mathematics History of Development ........)If any one Can know about the answer 🙏🤝 help my comment
    2
  35754. Your opus of reviews of math books is a wonderful resource to students and teachers alike. I will scrape up a few $ to support your efforts! Also, do you have any thoughts on Functional Analysis? specifically, on the Dover book by Bachman and Narici. Again, thank you!
    2
  35755.  @TheMathSorcerer  Thanks for the reply! It's nice that your channel is small enough you can see most comments. My Calculus teacher told me about Life of Fred, and he really loves it. I really like Life of Fred because it's engaging (it teaches math through the funny story of a fictional 6-year-old math professor named Fred Gauss) and cheap. The best book in the series is the Calculus one, but I like all the ones I've read so far. There's even a book on Real Analysis. I don't think it's as rigorous as an actual undergrad course because I'm understanding it and getting through the problems as a high-schooler.
    2
  35756. So far have spent 3 years on one problem. made major headway. recently some new angles , hopefully will have it within a year or so.
    2
  35757. This was very helpful. Thank you
    2
  35758.  @TheMathSorcerer  I use your Udemy Analysis course to supplement the Analysis course I'm in now. Super helpful! Thanks for your efforts!
    2
  35759. I've spended a lot of my time to the absolutely garbage things, like videogames etc., and should say there is nothing more sorrowful than that, time is the most valuable thing in human life and knowledge is the best thing you can trade for your time. Pure knowledge, I should say, is even more important than money, career, job, there is nothing more precious than beauty of understanding how this universe is working.
    2
  35760. Geile Siech ! Greetings from Switzerland(eth)
    2
  35761. could you recommend some analysis introduction book?
    2
  35762. Thomson and Bruckner. It’s available online on pdf for free
    2
  35763. Srinibasa Ramanujan 💝
    2
  35764. Nice video, thanks!
    2
  35765. Beware. Studying math hard will rewire your brain. You may become a different person without being aware of it. So I hope you are prepared to say goodbye to your old self, your old modes of thinking.
    2
  35766. Ramanujan was poor but he was an upper caste Brahmin. In India caste matters more than money.
    2
  35767. oooh 60 mins a day. i thought 8 hours a day ahahahaahah
    2
  35768. What does i mean
    2
  35769. Dude you need to write your life story. The history of math is litter with child prodigies but to come from being a high school drop out to a Ph D in Math??? You never hear about that!
    2
  35770. Thank you so much. I started my Fourier Analysis class and I was having doubts already. Thank you!!!!!💪🏼
    2
  35771. Thx!
    2
  35772. Thank you so much for your guidance! I have been watching your videos, and trying my best to apply them to my own studies. So far it is successful, and one of my favorite things are the book recommendations, I bought a few because of them. Again, Thank you!
    2
  35773. You’re amazing sir, you’re truly amazing.
    2
  35774. from start to WHAT!?
    2
  35775. Thank you!
    2
  35776. In your next videos, I suggest zooming camera in areas of text and numbers. If you are ever looking for free video editing softwares, check out Openshot or Shotcut. Both are open sources. For more effects, there is Hitfilm Express. That is a free light version, whereas Hitfilm Pro is a paid version which you won't need. Hitfilm Express is plentiful for an average filmmakers' needs, also for animators wishing to compile their sequences of drawings. With any of the software above, you can cut and paste video clips on timeline. Edit sounds too. In this video, your voice is fine and teaching style great too. Only the print fonts are too small for readers' eyes. To save labour by half or 3/4, you can easily change just the visuals and keep the audio recording from this video.
    2
  35777. The Math Sorcerer I suggest creating videos at resolution 1920 x 1080 pixels, that is, if you want to pin-sharp quality.
    2
  35778. As a business strategy, it may have backfired. Not only is Chegg likely to have the solution with different perspectives, it's also likely to give you the ability to work through practice problems without buying the book.
    2
  35779. Hey. you have a similar example where the numerator and denominator are reversed
    2
  35780. Are you checking my comments
    2
  35781. I am one of student, right now I am taking D.E and calc 3 and if you guess who you can have the point back for any error, hint I had an A for calc 3 and I am a man
    2
  35782.  @TheMathSorcerer hint2 my name rime with bernoulli
    2
  35783. You are the man! I love the chalkboard lol.
    2
  35784. i never thought it would be that easy and this video really helps.
    2
  35785. thank you!!!! I feel need this one shoot to boost me up. because I failed my first calc3 exam, and I thought I did well but it turned out isn't. however, I feel bad about myself since this my first experienced in my whole life to fail an exam. I'm still frustrated🥲🥲🥲🥲. its horrible experience 😑😐😐. thank you 👏👏👏👏👏👏👏
    2
  35786. This is a sign for me
    2
  35787. I pray you are a teacher in a good school.
    2
  35788. Very helpful thank you sir.Loved it
    2
  35789. I like G hardy, littlewood and Ramanujan too. I am from India. I came to know about ramanujan from movie The man who knew infinity. Also I like Roger Penrose, Feynman, Bhargava.
    2
  35790. that really helped me a lot sir, thank you!
    2
  35791. Great word, agree totally
    2
  35792. Trigonomancy? The subtle art of the devil!:goat-turquoise-white-horns:🤘
    2
  35793. Gonna be doing abstract algebra and real analysis on my own and I feel like I'm both ready and totally unprepared lol
    2
  35794. But I mean there is also aptitude, having a facility for something. I'm confident and self assured when I do things I'm good at because I naturally enjoy those things. Math happens to be one. I'm good enough naturally and I very much enjoy a good puzzle. I think we need to stop pushing kids to master things they have no aptitude for and instead focus on figuring out what they're good at, and having them reach mastery in those areas. And leaving the stuff they're not wired for to a minimum, or at least with less emphasis
    2
  35795. love u sir
    2
  35796. You are my inspiration!...
    2
  35797. Thanks for the recommendation! For some reason, I’ve been growing an interest in mathematics even though I was never particularly good at it. Something just clicked lol
    2
  35798. What is the reason to have the derivative of lnX as 1/x ...is there a specific reason for it or do we have a proof that derives it...
    2
  35799. Not so is not good, there are not Dedekind cuts and so on.....Rudin still best
    2
  35800. Thanks for the video! I think this is a great idea; to be honest, I find myself wasting time doing menial things such as watching YouTube videos (like your own haha) and so forth. I think redirecting some of that “idle” time into math as a sort of outlet could do good, and help me learn some more as well. However, when I actually want to learn a subject in depth, I assume that’s not what you’re talking about. At that point, I’d pull out a whiteboard marker for the chapter problems, and a paper and pencil for the exercises haha. But I recently got my hands on “Mathematical Proofs” by Chartrand (from your suggestion), and so I might end up doing some more casual reading with that when I’m not feeling up to delving into math. By the way, could you perhaps think of reviewing Tom Apostol’s “Calculus” volume 1/2? It seems like a solid book for an introduction given ample prerequisite proof writing skill, though I’d like to hear your opinion on it. (you did reply once about it before, so sorry for bugging you on it ahah) Would you say that someone who has never touched Calculus, but has Algebra and Trigonometry knowledge, along with understanding of the book “Mathematical Proofs” by Chartrand could hop into the Apostol volumes? Or would it be more intuitive to gather knowledge of basic Calculus beforehand? Thanks.
    2
  35801. Really good explanation, thanks! :)
    2
  35802. tbh, what I am about to say sounds dumb. But, I went from trig to calculus when I was told I shouldn't. It was the best decision I could've made in math since working out a bunch of derivation problems just solidified my algebra knowledge and understanding.
    2
  35803. @npaaron4157  I went from trig to calculus, Derivatives and Integration, 2 quarters.
    2
  35804. choose life
    2
  35805. HES A LEAGUE PLAYER LETS GOOOOOO BOIS
    2
  35806. I should have met you earlier on YouTube. Thanks for an insightful video.
    2
  35807. Wow❤❤❤
    2
  35808. Where do you teach? I would love to teach college math as a career, how do I go about it like you have?
    2
  35809. Thank you I have my final tomorrow morning hehe
    2
  35810. 1:50 I didn't see that when I was trying to solve it! Thank you!
    2
  35811. I'm learning a bit of video editing and stuff. I even uploaded one https://youtu.be/46t5Kx6PzO4, you may check it out
    2
  35812. And so goes the books I will never read to my digital library. I "feel" really smart now.
    2
  35813. I am also medical student but i want learning math. Then i will learn quantum medicine!!! These are my full goal!!!
    2
  35814. I want to add targeted practice and modeling/emulation.
    2
  35815. What do you think of IQ? People who say IQ doesn't matter are like people who say money isn't important: they're always people who have lots of it.
    2
  35816. Jeff Bezos.
    2
  35817. than you, you just earned another subscriber
    2
  35818. I hope you dropped Tony a message, I'm sure he would find it very amusing
    2
  35819. Thanks men, this video help me so much!
    2
  35820. This is great!
    2
  35821. Dota 2?
    2
  35822.  @TheMathSorcerer  yes teacher, please. it's free and fun. you would be a great player I'm sure.
    2
  35823. I study math for fun and I think that testing if a series converges or diverges is kinda boring. What I would like to know is: will this subject be important in the future? Is it required for anything interesting? Sorry any mistakes, my English is a work in progress.
    2
  35824. Can't some of these problems be mitigated through group studies (with a friend or two) - bouncing ideas, etc. Similar to how jewish people study Talmud, etc.
    2
  35825. Thank you
    2
  35826. Thank you! I needed this so much!
    2
  35827. This video reminds me of the short documentary The Art of Life. If you didn't watch it, please. It's great!
    2
  35828. Have you picked up Lang's Algebraic Number Theory textbook? If you're a fan of Lang, that might be the next one for you to set your sights on. It has no exercises, but it has a thorough overview of the topic, and I think there's some particularly beautiful mathematics that comes out of the field.
    2
  35829. Math sorcerer , I bought a book called Calculus early transcendentals from cegnage and it is written by James Stewart, is it different from the og book or is it the same , I want to know , please help
    2
  35830. Hei I just want to say I really appreciate you saying this and it hits on a personal level.
    2
  35831. Thank u😄 so easy to understand
    2
  35832. Lol
    2
  35833. Thank you so much!! Have been looking for a book like this. Fortunately, my University gives an online version of the book for free, but I'll probably buy it anyway. Nothing better than physical books
    2
  35834. Me: having troube with a question Also me: go to the gym, think of it during workout, find a way to get through it It is amazing when it happens. Not so often tho.
    2
  35835. Wrong"it's" in description, pain
    2
  35836. Always remember any quadratic equation methods
    2
  35837. Maths has no ending :)
    2
  35838. I have exceptionally smart parents and I think that has contributed to my fear of failure and my extreme perfectionism
    2
  35839. I like the following sequence: Prealgebra Algebra 1 Algebra 2 Geometry Trigonometry College Algebra Precalculus Calculus 1 Calculus 2 Calculus 3 Linear Algebra Ordinary Differential Equations You say?
    2
  35840. This guy is practical and truthful in his explanation. Information from going through the experience and taking away the fantasies about math. Great, thank you
    2
  35841. I didn't know Jeff Bezos has a twin brother.
    2
  35842. yes! exposure/ environment plays a role! while inherent talent is not necessary. You can become anything you want!! You can donit! :)
    2
  35843. Now i feel powerful
    2
  35844. there's no such thing as "precalculus" next they will make up "prelrithemetic"
    2
  35845. Cool video :)
    2
  35846. Working the examples after going through them is really helpful. Sadly, it took college calculus III for me to learn this technique. Someday comment on the high school geometry book Discovering Geometry book by Serra and Foerester's book on Algebra and Trigonometry and stand alone Trigonometry books. Early Foerester has some great applications questions in almost every section.
    2
  35847. One day in my mid-sixties, I began wondering whether I could acquire a foreign language using only free programs on my notebook a few minutes a day. There were no exams or deadlines, but years later I am familiar with Spanish to an amazing degree. I use Clozemaster and Duolingo Stories and three decks of Ankidroid. Consistency has been the key. No strain, no pressure, no forced memorization. I don't struggle, because I learned how to eat the elephant in professional school (one bite at a time).
    2
  35848. My college shutdown, my exams will have to be scanned and a picture have to be sent
    2
  35849. On one hand I couldn't put down The Grapes of Math. On the other this is sort of the technique I use for computer stuff. Read for a bit the come back to it later to make sure I understand it.
    2
  35850. pretty nice approach
    2
  35851. Ah yea I heard a debate about how 0 shouldn't be or should be a part of math And they brought up what Parmendies said I feel like 0 exists to 1: like you said to represent the absence of something, and 2: to represent extremely large or tiny numbers Like 10^25 or 10^-25 is different than 1^25 and 1^-25So technically it exists to represent something that does not and something that does, but the number itself existsYea exactly 0 is pretty important in a lot of different subjects I've seen in math especially pre-calculus like what a variable can be defined asand has been extremely important in kinematics as it sometimes gives you final and initial velocityGiving you a more complete equation to figure out distance or time etcYea now that I think bout it, without 0 some physics equations would be impossible in a lot more scenarios as you'd be missing two variablesLike if some dude threw a rock straight up with an initial velocity of like... I unno 4m/s in the air and you want to find its high altitude You can use Vf^2 = Vi^2 + 2 · a · d Without zero, you'd lack both distance and final velocityBut with 0, you only lack distance and you can do basic algebra to figure it outSince at its peek height it will stop moving thanks to gravity and start falling back to Earth So it would be 0^2 = 4^2 + 2 · -9.8(gravity) · d
    2
  35852. this man is an actual sorcerer and savior
    2
  35853. Playing this on 2x speed
    2
  35854. What do you do with all these textbooks?
    2
  35855.  @TheMathSorcerer  Go to b-ok.cc to download free math textbooks. The best precalculus textbook on this planet is the 3rd Edition of Precalculus With Unit Circle Trigonometry by David Cohen.
    2
  35856.  @TheMathSorcerer  : What is basic difference between ordinary differential equations and partial differential equations?
    2
  35857.  @TheMathSorcerer  : Ok. Thanks. Is partial differential equations a separate course or part of calculus 3?
    2
  35858.  @TheMathSorcerer  : I hope you'll be there to help me with calculus 1, 2, and 3 once I get there. I am the most passionate middle-aged man you will ever meet when it comes to mathematics....
    2
  35859. The thumbnails keep getting better
    2
  35860. On the mark, thanks for the advice. Keep the inspirasjon, alive!
    2
  35861. Where did you get the answers for the Schaum outlines of general topology, abstract algebra etc?
    2
  35862. Complex analysis is a nightmare
    2
  35863. Very interesting stuff 👌
    2
  35864. Being a mathematician (especially a teacher) is a bit like being an AutoMechanic. You are going to get all sorts of ddifferent problems, from different fields, at different times, from different sources. And you are going to need to know a lot of different ways to solve a particular question. I personally am leaning more towards IT to help me along, Excel, Wolfram, programming and so on. Of course I am constantly referring back to books as an inspiration. Whatever don't be afraid to ASK a maths teacher for help, we love to help out our students, we learn ourselves by teaching. Its an unusual profession I admit but every engineer, economist, business person, scientist or just old plain hobbyist would be well advised to study A LOT OF MATHS. 👨‍🎓💻📚🧗‍♂
    2
  35865. Math Lore
    2
  35866. Thank you
    2
  35867. Another Great Review of Textbooks ... always a pleasure --- THANK YOU
    2
  35868. Can you please make a video on how to prepare before the semester starts? I will have 3 weeks before my computer science program starts and we have so many weed out courses
    2
  35869. Good morning sir jii
    2
  35870. thanks for the video this is really helpful
    2
  35871. in my opinion there is no better practice in math like programing your mathematical problems and get the result
    2
  35872.  @TheMathSorcerer  Thank you!
    2
  35873. “Look at the people in Walmart. How many of them are even doing calculus?” This is huge for my self-esteem
    2
  35874. I find the delta-epsilon definition of a limit very hard to grasp. I love the challenge but not easy at all.
    2
  35875. That's deep
    2
  35876. Sir I send an email please check it
    2
  35877. Please teach me how to figure out percentages 😭😭😭
    2
  35878. this channel is the first who tell me that discrete mathematics actually dont need advanced math prerequisite my journey to computer science was being twisted somehow
    2
  35879. This video is so cool math sourcerer!! Thanks!
    2
  35880. is P(x)y''+H(x)y'+y = 0 a general form? What if we have P(x)y'' + H(x)y' + L(x)y = 0, do we still take P(x) = 0? How do we determine radius if P(x) is of the form x^2 + 1 = 0? (we will have x^2 = -1, it leads to imaginary number, which is confusing when finding the radius)
    2
  35881.  @TheMathSorcerer  Thank you! That was very quick response)
    2
  35882. Estoy de acuerdo, antes de la pandemia incluso hicimos un pequeño torneo en la facultad; los profesores hicieron su equipo. Ya después terminamos todos brindando con una cerveza. ¡Saludos desde México!
    2
  35883. I've seen many illustration videos in your channel, is it full courses?? If it is, I will be pleased to learn from them, you are a wonderful character.
    2
  35884. So here so here so here is ....
    2
  35885. All the points were so true
    2
  35886. This will help me so much in my pre calc class!!
    2
  35887. You know based on this video, I spent my summer preparing for Analysis. I would suggest this to anyone who is taking it.
    2
  35888. Hornsby, Lial are great authors
    2
  35889. Just wanted to say thanks for making these videos I have been really enjoying them.
    2
  35890. Cool but don't start with moon light sonata it will make people cry and set the stage for spiraling into depression
    2
  35891. Can you make a video about aging and learning/inventing new math. In A Mathematician's Apology, Hardy declares that math is a young man's game. Can you comment on that?
    2
  35892. I know you're not asking me, and there is no reason for you to listen to me, but, from personal experience, both as a learner and a teacher, I don't belive for a second that mathematics is a "young man's (persons) game". I've seen people in their 40s, 50s, and 60's who where never exposed to advanced mathematics before catch on to to it quicker and/or with greater understanding than young college students.
    2
  35893. Mid 40s. Did my AA in Computer Science many moons ago. Considering going back for my BA. Good video. Encouraging.
    2
  35894. Good stuff. Very helpful.
    2
  35895. is this the burguer king?
    2
  35896. books > videos
    2
  35897. ❤❤
    2
  35898. even though i have not done integration for quite a long time, but the thing of someone else doing something with integration is still sending a chilling vibe along my spine :)
    2
  35899. Yes. One problem. I have perfect knowledge
    2
  35900. 7:45 Needed this, love this guy.
    2
  35901. This is a timely advice. I studied College level Math and now for about 2 years I'm in a different field. But as a hobby I wanted to study Math and currently I'm going through Riley, Hobson and Bence Mathematical methods for Physics and Engineering with limited free time I have. Sometimes I don't understand fee steps or couldn't solve some problems. But your short videos helps me a lot... Thank you very much
    2
  35902. Thanks a lot, that made a lot of sense!
    2
  35903. You are a great person.
    2
  35904. I am literally on the toilet, trying to mentally prep myself for a 400 level stats exam that I have avoided doing all weekend and have to submit in 3 hours. This could not have come at a better time. Cheers brother.
    2
  35905. They teach it at Birkbeck University, London.
    2
  35906. Hey.. has he always had a bird on his shoulder and i just realized it😊
    2
  35907. Ie irodov and ie krotov amazing books ❤
    2
  35908. Nice pencil. 😉
    2
  35909. I know this is a weird question to ask. But can you give an estimate amount of time to finish all these topics? Like for example if a person spent 5 hrs a week they would finish it in a year or something like that.
    2
  35910. you're awesome <3
    2
  35911.  @TheMathSorcerer  you should interview an engineering student who studies in the Uniteted States of America. Engineering is harder than premed.
    2
  35912. Sniffing the book - subscribed!
    2
  35913. Switching to pen helped me a lot. I prefer it now.
    2
  35914. capo
    2
  35915. how do you get good at math 😳 im just struggling with geometry
    2
  35916. Awesome video really helpful
    2
  35917. This is nice!
    2
  35918. It seems no jokes left for me to comment, and I don't want to repeat... :-)
    2
  35919. Wow, before I watched the video I'd thought that it would be a lot about why you should not argue with your teacher haha, but actually it was about sycophants. I wonder whether the girl wanted to do more than washing his motorcycle haha.
    2
  35920. Thank you so much, once again, Math Sorcerer - reminds me of "extreme ownership", Jock Willink has a TED talk on this, https://www.youtube.com/watch?v=ljqra3BcqWM.
    2
  35921. Sir will you follow this up with a "Learn graduate level math - start to finish" Video? Personally I'm requesting a 3 part series, the third part will be like "Learn Really advanced math" which will include things like Tensor, non-linear algebra, non-Euclidean Geometry, fractals etc and other super cool stuffs. I might need quite a while to touch just the topics listed here, but I'll wait for the next two parts.
    2
  35922. Hell yeah
    2
  35923. He looks like Bezos with hair
    2
  35924. I love eccentric mathematicians. 😀Thanks for this video. Best wishes Tom.
    2
  35925. My subject not even mentioned as Generalizing whole math ;_; (set theory)
    2
  35926. Real Analysis (Math), Numerical Analysis (CS/Math), Artificial Intelligence (CS), Machine Learning for Biz (Business), and looming possibility of Graphics (CS).  Also gotta say love the videos and good luck with the semester!
    2
  35927. Leithold inspired the teacher, Jaime Escalante, that was portrayed in the film, Stand and Deliver. I found this link: https://en.wikipedia.org/wiki/Louis_Leithold
    2
  35928. I you don't stop doing math, then you tend to think that having a haircut is just unnecessary and a cause of distraction.
    2
  35929. Hi Maths Sourcerer, would you consider College Algebra by Bob Blitzer as well - or are the algebra books you just recommendedabout the same in terms of what you can gain from them? (I just bought the algebra book by Blitzer although it was quite hard to find a cheap copy)
    2
  35930. You do realize, don't you, that every time you make a book recommendation, the availability of the book decreases by an inverse cube rate of the time differential between the reading and the posting? Not to mention the prices ... Edit: Please invest in a camera with faster auto-focus capabilities.
    2
  35931. good talk, it reminds me every day is a fresh day and new start to achieve goals.
    2
  35932. I thought this video is a joke alluding to how to stop doing some bad habits (like math in this case, by taking a break for 2 weeks), but you were completely serious! head exploded
    2
  35933. Why there is not subtitle option?
    2
  35934. Thank you!
    2
  35935. I need all the help I can get with this course.
    2
  35936. absolutely in love with these lectures
    2
  35937. Definitely gonna save this to my playlist, Thanks for sharing!
    2
  35938. So, as someone who does mathematics for a living (my background is pure math, but I work in ML research in industry) I think math burnout is a problem for almost everyone who does math in any capacity, whether undergrad, grad school, work, even as a hobby. It's mentally exhausting sometimes. The brain is a tool for survival that we repurposed towards other things in a very real sense. I think a lot of us are somewhat obsessive over it, and find it hard to accept that we can't ingest and understand math all the time. I learned I have about 4-6 hours a day I can actually be productive mathematically at the most. I try every day, but if I can't get in the groove, or I am just not feeling it, I try not to force myself. I find forcing myself to make it far worse. Something I found helpful though is talking to people about interesting math related things if you can. I don't know why, but I always found that to help burnout a lot too.
    2
  35939. I always end up with a shopping list after these videos :)
    2
  35940. Can we have a continuation where math guy just BECOMES A MATH MACHINE. beep boop beep boop?
    2
  35941. I would just like to add it is not enough to simply look over your notes do something with them! My clac II proffessor taught me that maths are not a spectator sport and in order to understand everything you have to use it. When I study I get the most out of what I do if I have my notes on one side and my practice problems on the other, and I look back at my notes constantly until I feel confident enough to master mathematics on my own
    2
  35942. Thank you. I needed this today!!
    2
  35943. I think that it is really dependent on your own preferences and teaching style of your teacher. For me, most of the time, we are provided with pretty good course notes or slides in addition to the textbook or instead of a textbook. If this is the case, I certainly don’t take any notes, because I can read the course notes provided by the professor anyway. It might be different when the professor is only writing on a blackboard and there is nothing but the textbook to take a look at afterwards, but I prefer understanding above taking a lot of notes and from my experience, I think it is not possible to do both.
    2
  35944. Most Sheldon Ross books have solutions manuals, This may not, but I'd be surprised if it didn't.
    2
  35945. Hey bro whats the total price of the the pile o the books you appeared just with
    2
  35946. Brilliant!
    2
  35947. Thank you so much
    2
  35948. Thanks.
    2
  35949. Math advice for Physics student please 😃
    2
  35950. Can you perform more problems? Thank you!
    2
  35951. Amazing just amazing 🤩
    2
  35952. Train your hair to look like a genius: 1) dye it grey to white 2) don’t shower for weeks while obsessing over whatever genius people obsess over. 3) stick finger in power outlet 4) stare intensely at pictures of Einstein, Beethoven, Math sorcerer 5) realize that math sorcerer may be related to Amazon founder
    2
  35953. thanks♡♡♡
    2
  35954. THANKKK YOUUUU SM!
    2
  35955. D for Diploma lolololol subbed
    2
  35956. Oh my goodness JEFF BEZOS GREW HAIR! AND HES A MATH PROFESSOR TOO!
    2
  35957. This isn't about math, this is about life.
    2
  35958. Jeff Bezos
    2
  35959. I wish this was my actual math teacher. Honestly I would pay attention lol
    2
  35960. I don't know why I laughed so much at "This is Calculus... 7" lmao
    2
  35961. That's Jeff Bezos teaching from books rather than selling them in a parallel universe.
    2
  35962. ❤
    2
  35963. Just wanted to say how thankful I am to you professor, i pray for you i wish you only the best
    2
  35964. hey man you should try "ode and pde by MD Rai Singhania" this book is lit pdf of this available online
    2
  35965. My high school 1st year teacher legit told me “I am not going to recommend you to the next level. It’s too much for you” Ever since then I never wanted anything to do with math But I might give it a chance again
    2
  35966. You proved the limit does not exist, but not if the limit diverges.
    2
  35967. it helped me thank you!
    2
  35968. Been watching your videos during downtime in my day here and there. Having gone through an undergrad math and a bit of a graduate stats program, I think your advice is really helpful in general, regardless of the topic. Being in data related work today, having a reason outside of "it's just interesting to me" is important and helpful even for me now. If something is interesting to me, I can spend countless hours wasting time trying to understand it, but that doesn't necessarily mean it's moving me towards any particular goal. Thx for your vids Mr. wizard warlock sir
    2
  35969. Do you have a number for the complaint department? Jesus, Baron's listed all three books currently unavailable or out of print -- limited availability.
    2
  35970. Super - Brilliant strategies & logics.
    2
  35971. You had me at deltoid.
    2
  35972. Math is the Queen of science. Not A science, but the Queen of science. Math, according to Ayn Rand allows us to take the incomprehensible world of ours and take it down to the humanly perceivable level. In addition she pointed out that mathematics is the basis of all cognition and thinking. Her epistemology was based off of mathematicians like Descartes and pascal. Although they were both philosophers too. Math is how we see our world, besides our 5 senses.
    2
  35973. Love your video keep it up ❤
    2
  35974. Thanks for your advice!
    2
  35975. I'm taking calculus one next fall, so I've been watching tons of calculus youtube videos because I want to do well. So far I have a basic understanding of limits and derivatives. Any calc one books that you'd recommend?
    2
  35976. Na this is secondary. The most important thing is ur character and your attitude towards math. Without that you are nothing
    2
  35977. I love love love this book. So clear.
    2
  35978. It’s hard to do that when you have a 2 year old toddler
    2
  35979. I am starting to love this channel more!
    2
  35980. We still use K&R at Columbia for our Advanced Programming course!
    2
  35981. Will you cover fourier transforms on your channel or on Udemy?
    2
  35982. Really needed to hear this after taking my differential equations quiz 😂
    2
  35983. Better than Introd. to Real Analysis of Rudin??' hmmmm ... The Elements of Real Analysis of Bartle (not the bartle-shebert book these book its more like Spivak or Apostol Calculus book level), Real Analysis of Carothers and the Classic... If you loves the Real Analysis this is Your Book... Real Analysis of Royden... This 3 books to me are better than Baby Rudin. with the same level to me.
    2
  35984. you are amazing ^_^ keep going
    2
  35985. Your content is amazing!
    2
  35986. Best of the Best! tank you! You save me!
    2
  35987. Thanks so much. Better view of explanations. Bravo
    2
  35988. Bruh this one isn't a joke to me anymore lmao-examity is too much
    2
  35989. Yeah Examity is the bane of my existence.
    2
  35990. i like it
    2
  35991. --as a possum with a blossom,  @TheMathSorcerer !!! :) :) :) :)
    2
  35992. You are so good, Love your lecture very much
    2
  35993. thanks you mate, really glad that you make this video :))
    2
  35994. not just math in the Navy, like you said :- a word problem. so complicated. they are definitely looking for the creme de la creme!
    2
  35995. great video!!.is it possible to start with linear algebra or at least before calculus?
    2
  35996. Same indeed as a physical training.
    2
  35997. thank u so much!
    2
  35998. Bro calculates loads of weight
    2
  35999. Any suggestions on a good book for measure theory? I’ve tried going through Rudin and Folland but both are incredibly terse. Tao’s book seems too focused on R as opposed to an abstract approach.
    2
  36000. I love your channel "The Math Sorcerer". Thank you for your hard work/efforts and sharing your talents/passion in Math. If I had magical power, I will make sure that all humans will study everyday (for the rest of their lives) and we probably landed in another solar system long time ago. Human intelligence is so intelligent that we have tried everything including laziness. But again as the saying goes "we're all just passing through this earth", so I guess it is good to try everything including how to become lazy and some forgotten that they stuck in it. I do believe that learning new thing/stuff each day is a form of financial security (easier to get a job later) aside from having a passion in life. More power to all !!!
    2
  36001. What was your approach to teaching yourself?
    2
  36002. Yeah it's good, but in my opinion Brown and Churchill are the best for complex variables.
    2
  36003. Wow!! I really can't wait to read those math books
    2
  36004. I like old editions more than the new ones.
    2
  36005. In 1950s phone numbers were shared (party lines - neighbors would eavesdrop) and were maybe 4 numbers only.
    2
  36006. Nice T-shirt.
    2
  36007.  @TheMathSorcerer  I do not beleive that one is ever too old to study things that you are passionate about such as law, philosophy, or mathematics. I beleive that we are only limited by our lifespan.
    2
  36008. Fantastic 😍💋 💝💖♥️❤️
    2
  36009. Thank you sin^3x √cosx dx how about this is it same ?
    2
  36010. I think I understand why use the intermediate step of converting to base ten. It is because we have learned how to easily add, subtract, multiply, and divide in base ten. We have not learned how to perform those operations in other bases.
    2
  36011. i love
    2
  36012. Awesome stuff
    2
  36013. thank you
    2
  36014. NCERT textbooks (indian maths textbooks) have a lot of these problems you should check that out
    2
  36015. I'm not even a math student, why I watch this video 😅 I hope someone makes a video like this, instead with accounting and finance topics
    2
  36016. I think first requirement is needed in every subject if you want to master it
    2
  36017. Have that book also!!! Thank U, MS!!!
    2
  36018. Review on real nalysis by sk mappa
    2
  36019. you are awesome. thank you sooooo much!
    2
  36020. This really reminds me of knots theory with Alexander the Great and the gorgian knot and now knots intertwine really cool math and topological video you made. I did the same the problem with topological knots and how they tie and untie.
    2
  36021. Side note really bad English, i kinda typed without thinking as that was the use case that popped in my brain with linear and topological spaces and it caused it to look really bad. I should really invest in grammerly.
    2
  36022. I just started with Susanna's discrete math, but there's no answers to even questions.
    2
  36023. good advice
    2
  36024. Great commentary.
    2
  36025. veryyyyy cool !! :D amazing
    2
  36026. Thanks!
    2
  36027. Thanks for your videos. Can you make a series of good books for teaching kids mathematics ?
    2
  36028. Thank you for amping us up math wizard!!!
    2
  36029. Great video!
    2
  36030. The title of this book is vague. It should add "of Undergraduate Mathematics" to the title to be clear.
    2
  36031. "Yeah so were just gonna rewrite it like this..." ...who, what, when, where, why, what...WHAT??!
    2
  36032. Niiice, :) keep en coming. I don't have time to study math at the time but this makes me learn anyways. ^^
    2
  36033. how can i get good at math if i dont have einstein like hair??????
    2
  36034.  @TheMathSorcerer  ily math sorcerer^^
    2
  36035. My high school teacher would put the same math problems but would change signs on tests.
    2
  36036. but time being equal tho, it mostly comes down to IQ i think.
    2
  36037. OML thank u... i finally solved this
    2
  36038. Interesting. I read math texbooks in my free time after work as a leisure for the purpose of brain training and esthetic pleasure in the same manner I train my strenth at a gym. So none of them reasons mentioned in the video apply to me.
    2
  36039. Thank you for this message I really needed it.
    2
  36040. Shadow wizard math gang, we love casting spells (2+2=1)
    2
  36041. After months of searching, I've finally found the source of the TP shortage
    2
  36042. Damn wtf you sound 100% american. I had to rewatch the video because i was distracted by that fact alone, that just blew me away.
    2
  36043. Great selection of books!!!
    2
  36044. This is something that i want to do if I study at university. But I won't😞
    2
  36045. Hello friend! I’m doing math now with a cup of tea. I should be working!
    2
  36046. great hard work is there any chance to have his notes and homework?
    2
  36047. I hope the guy made it big and that he becomes the next Einstein. PS. The music had me lol hard.
    2
  36048. omg i want that
    2
  36049.  @TheMathSorcerer  nice where you gonna get the book from?
    2
  36050. How about Linear Algebra done right
    2
  36051. I meant to learn from
    2
  36052. I love your videos, greetings from Dominican Republic
    2
  36053. Might I suggest “https://www.addall.com/used/“ to find used and out of print books.
    2
  36054.  @TheMathSorcerer  LOL! You are creating highly desirable content and I’m cutting and pasting a useful URL! My thanks to you!
    2
  36055. Thank you so much for the review 💗
    2
  36056. Love your videos
    2
  36057. Thanks for this video, I was looking for something like this, you've earned another subscriber
    2
  36058. awesome video, can you do something similar but for geometry, cuz I really suck in it?
    2
  36059. Dude needs to take his math. Math is life.
    2
  36060. Thanks great 👍 keep it up Sir
    2
  36061. Thank you so much for this video ....
    2
  36062. Pls. Show example using numbers.
    2
  36063. I have been trading stocks for over 11 years, and I will have to respectfully disagree with you on this. The way that you should trade stocks is by using statistics! Do a search for the author Thomas Bulkowski, you can also find his website at the pattern site . . . . he has done extensive studies on trading, using statistics. As a mathematician, I am sure you understand the importance and benefit of using statistics . . . . as applied to the stock market . . . . so you have a bell curve, sometimes you fall outside of it, but if you are on the right side of the statistics, you can win more than lose. I also make use of the standard deviation line and the Williams Percent R indicator, which works on some stocks, and not on others, but the good part about it is that usually you can tell which stocks it works with simply by looking at the history of the stock and if the Williams Percent R indicator has been effective before with the stock. Also if you are interested in strategies that are counter to long-term holding, look for the PDF online The Battle For Investment Survival by Gerald Loeb, I am a swing trader, and I do not like holding long, Gerald Loeb was famous back around the time of the Great Depression, (the most obvious reason why he did not like holding long) . . . his book is a little out-of-date, but it is fabulous none the less, as it has a lot of good advice in it.
    2
  36064. Thank you so much💖
    2
  36065. Try for bravery (as you said) but also try for not being lazy. Try to find some counterexamples, try to do some calculations. Even if you are an excellent student, you have to be able to take some classic skills. Don't be a mentally lazy man. That's what I've learned from math. Plus, studying smartly does not mean studying lazily.
    2
  36066. Which book should i read first: Linear algebra done right or stephen friedberg
    2
  36067.  @TheMathSorcerer  I think he’s talking about role model ~
    2
  36068. Can u make challenges of linear algebra?
    2
  36069. "muscle memory" lmao
    2
  36070. Your channel is growing ! Last time I looked at your subscriber count it was at 200 k
    2
  36071. Very helpful. Thank you
    2
  36072. Thank you. I am downloading at the moment
    2
  36073. i' know this book and i used to read definitions.
    2
  36074. Ain’t no party like a Hausdorff party
    2
  36075. thanks a lot, i agree with these
    2
  36076. And then there is ...3n+1..... stupid collatz...
    2
  36077. As long as there is space there would be always be more maths book for the sorcerer to explore
    2
  36078. 👍Not sure if you've had time to review another General book, Fundamentals and Foundations by Eaves
    2
  36079. I've chosen to learn math by my own recently. After some thinking on how to do that, I planned some steps. Five steps overall. First : to be sure I master the fundamentals such as algebra (power, log, function, factor/expand, theorem and so on). So I took some tests found on the internet, I did some exercices and so on (like the Diagnostic tests at the beginning of Calculus: Early Transcendentals (Stewart), and study to cover my weakness. Since I want to learn Calculus, this book helped me at first to find my weaknessess, which is great, and to motive me to check my fundamentals first) and, yes, I spent a week to be sure to find a great calculus book (A 'step by step' kind of book, dedicated for the learner, with a lot of example, a lot of exercices, even if half of it have a solution at the end of the book I can still check with graph, calculator, a program in python, or in Gnu Octave if I found the right answer). I plan also to buy Linear Algebra : step by step from Kuldeep Singh. Two : what you want to learn (Goal) and how to reach that goal (requisites), which path ?. You may find some map on the internet or video or even inside the books you want to learn. If you forgot something or find something mysterious or too steep, you may still add that subject in your checklist (what hole to cover) to study with another book (for instance). I'm not in a hurry, I planned to learn at my own pace (No exam, just for pleasure). Three : planning. To do some everyday is key (like about everything you want to learn), regularity !. So I always spare at least one hour per day. Four : Ressources/Tools : in short : a graphic calculator (HP Prime), Gnu Octave, online tools (GeoGebra, WolframAlpha) LaTeX (I'm learning it at the same time) to write down my solutions and explain (The Feynman way) to others, Python (I learned it, and I'm using it with MatPlotLib, Sympy and so on) to check my answer (and pleasure to write a program), to graph, to solve, to experiment, and explore another way to comprehend/memorize/understand what I'm doing (I'm a visual learner and calculus may use some graph so it's perfect for me). What I like most about Calculus book I told about earlier is the real problem with example from anthropology, physics, sociology and so on, it gives more than just doing math and finally : history of mathematics (In general or about Euler, Riemann ...) and fun (Martin Gardner, or G.E.B. [Gögel Escher and Bach by Hofstadter]. I would have been pleased to use only one tool like mathematica but it's too costly. Beware, these tools aren't to find solution for me, just to check, to explore, to visualize, to test, to discover, to modify and see the consequences, and sometimes to free you at one point from the boring stuff and see the larger picture. BTW thanks to The Math Sorcerer for your videos. It helps me to assert that my thinking about learning math isn't too erractic.
    2
  36080. As expected none of the reasons was convincing...and I'm pretty sure that was intentional 😄
    2
  36081. Yeah...i couldnt help but notice....how long does it him to blink?
    2
  36082. Thank you for your advice I really needed these kind of videos as I really would like to be good at maths. I am learning basic maths at the moment. I usually read from one text book first to get the concept and an overview of the area then I watched a booke of the videos on the Internet. However I realised that I only use one book and may not do enough practice problems. So, thank you for the advice I think I will read more books and do more practice problems.
    2
  36083. I go to school at the University of Washington in Seattle, so we’ve been online for a couple weeks now, and will remain so at least through the end of April. I’m going to take Spring Quarter off. That’s fine, though; I can easily learn a bunch of math on my own in the comfort of my own home in the meantime.
    2
  36084. Happy new year Math Sorcerer! Is it possible to be completely bored with a math topic?
    2
  36085. I needed this
    2
  36086. I had this in high school back in 1980-1981.
    2
  36087. You're a blessing man. Thank you🙏 After doing math all day, your videos are therapy for me
    2
  36088. Hi, what you can say about Zorich mathematical analysis ?
    2
  36089. Have you ever read Nassim Taleb books, and if you did what is your opinion on them ?
    2
  36090. I come from zero math. I always failed all my math clases, and I'm super scared, but I bought it just now.
    2
  36091. Hi Math Sorcerer! I've been wanting to ask you some things but I can't seem to find your email :c How can I contact you? (Wishing everyone a happy mathematical journey 🌸)
    2
  36092. ??? You HAVE done a review of the Thomas & Finney book! https://youtu.be/GvcRUUh_rtc
    2
  36093. Thanks for your suggestion.
    2
  36094. Can you do a video on what types of questions you asked your past instructors or how you started talking to instructors? I feel like most of my maths questions are algebra related e.g., in advanced calculus most of the questions were based on algebra... don't really know what else to talk about. I found it easier to talk about topics in my applied classes though e.g., mathematics and cancer was easy to talk about stuff.
    2
  36095. Yes. If you love bicycling, why would you give up on that just because someone rides his bike faster than you? But if you don't understand why anyone would love bicycling even after you have tried it yourself, maybe you cant even keep your balance and are not willing to put in the hours to learn how to even if you had many people around you encouraging and helping you, then certainly you could not have any interest in it. Its not possible to do something all day long, every day year after year if youre not truly interested in it, but if you are then the question of if you are able to do it is irrelevant.
    2
  36096. Thank your sir you're amazing ☺️🤗
    2
  36097. How do you get better at geometry other than just practicing?
    2
  36098. ...a nice, curly mop
    2
  36099. You have a new comment!
    2
  36100. fix the volume please it's too low
    2
  36101. Staples, we haven't always used stretch wrap to bind pelleting, and accidents happen.
    2
  36102. Hahaha
    2
  36103. I find I am much more relaxed mid-semester if I am leisurely learning a topic in math that's separate from the classes I'm taking. Branching out to new topics might seem intimidating, but if it's not for a class, why stress? Unless you're really worried about economizing ALL of your time to the classes you're taking (which I doubt is the case for the majority of people), then I highly recommend seeking out math that you find interesting to pursue alongside your class load. Doing this can build confidence and a richer perception of the grander picture of mathematics. A really good skill to have in math is to be able to read some math where you don't fully understand every detail, yet are able to capture the broader points and follow the argument laid out. I think it helps build intuition.
    2
  36104. Is there a video of Larry's Wife making blueberry pi?
    2
  36105. I pretty much did all the problems in the Steward book... took me forever... but forgot about most of it.
    2
  36106. Hey Professor, I’m in a bit of a predicament right now, I am a PhD student and I love math so much but I have been under so much stress and dealing with other life problems that my motivation has fell flat and am scared I might even get kicked out of my program that I worked so hard to get to this position. I sit down to study but nothing clicks anymore and I just cannot focus. Any advice on reinvigorating myself?
    2
  36107. The Math Sorcerer thank you very much for the reply! I have tried taking a break, even for 3 months once last summer, but when I come back to work I just feel so stupid, in fact too stupid to become a decent mathematician. It seems I’ve lost any ability I might have had.
    2
  36108. I’m so excited to take Calc classes! :)
    2
  36109. ???—I took them and until this day I am still mentally scar. I Get sweaty nightmares from my Cal trauma.
    2
  36110. Well, now I gotta learn Spanish. Pero creo que es más difícil 😩
    2
  36111. Next to the Tupac Shakur and Sug knight death row magazine cover this is the most gangster use of a black turtleneck
    2
  36112. I've always wanted to be an engineer but math discouraged me. Do you think think approach would help me relearn math from hardly remembering algebra to calculus and beyond?
    2
  36113. Another great video, so concise and informative. Thank you sir as always!
    2
  36114. There's a good book on analysis called "A Course Of Modern Analysis" by Whittaker I think you might like to check it out is available on the internet
    2
  36115. Can't afford it right now but I put the book on my Amazon Wish List. Merry Christmas!
    2
  36116. very good video
    2
  36117. was very informative, thanks!
    2
  36118. Thank u so much!! this was so helpful
    2
  36119. Im a dude that wanna go into physichs. Watching these videoes makes me realy scared, not from the proffesors but just the math. I hope its just that I havent learned the principles of the mathematichs and if I are able to learn it, it wont realy be that hard. I hope...
    2
  36120. SL Loney plane trigonometry
    2
  36121. I am waiting this after 6 yaer thanks Where are you from
    2
  36122. If I only had the internet and graphing calculators in the early 70's . I was able to trade my slide rule for a calculator that did the four basic math functions and square roots. And it cost over 100 dollars :(
    2
  36123. Youtube is the best!
    2
  36124. Thank u Prof
    2
  36125. I checked your store. It's mostly pure math. I'd like to see more math books for engineers. These are probably less important to you, but can be more interesting to others.
    2
  36126. Currently teaching myself Calc 2 online and my professor is going to test us in differential equations and series... I swear he’s more of a critic than a teacher. Any recommendations on videos explaining how to understand solving a series inside and out?
    2
  36127. I have my final exam tomorrow 😭
    2
  36128. do you have a video about how to study topology?, I´d be amazing
    2
  36129. In Australia we do calculus in highschool, and I've heard Russians are on a whole new level when it comes to the math they do in highschool.
    2
  36130. School My entire city is on lockdown
    2
  36131. Cannot seem to find books on introduction to advanced mathematics for cheap, the ones you mentioned here in India. Any other suggestions?
    2
  36132.  @TheMathSorcerer  Thank you very much!
    2
  36133. ​ @TheMathSorcerer  Seems like the books aren't cheap. They are 37.5$ which is kinda expensive here. But hey great website! Let me see if I can find something similar in 10$ range. By the way do you have discord server?
    2
  36134. 😁 why do we have tests .... tests are broken system ..... any better system will save a lots of wastage
    2
  36135. this video was immensely helpful thank you!
    2
  36136. I love mathematics. I can understand mathematics easily especially Calculus, Trigonometry, and Algebra. The same goes for programming.
    2
  36137. I guess that's why I understand better when I ask a question in class.. most teachers in my country hate being asked and treat questions as nerdiness and unnecessary annoyance 🤷‍♀️
    2
  36138. jajajajajajaja <3 fuckin love this
    2
  36139. yes math sorcerer the lost art of type setting 😞
    2
  36140. Get this man a whiteboard 17:42
    2
  36141. Thank you sir ❤
    2
  36142. Everybody makes mistakes. Thank you for your videos and help.
    2
  36143. I’m reading all these comments and I do not envy any of you like I love math and at the same think it dumb but this low key sounds harder then first thought
    2
  36144. Awesome
    2
  36145. Bouncing off another guys comment , could you do a video on doing "pure" and/or "applied" mathematical research? I feel like there is a lot of resources on finding REUs , but not as many on finding a math background-appropriate original problem to work on (say as part of an undergraduate or masters thesis , or forming an independent REU type experience using funding from a research scholarship) . How do people who serve as advisees for a math REU even go about finding topics that would be appropriate for a reasonable motivated undergrad to tackle, and how does that process differ from finding such projects for a master's student , or people in the initial years of their PHD.
    2
  36146. MS what’s the pencil your using ?
    2
  36147. Homework IS Studying if you want to get good at Maths. How do athletes become great? Train, train, train and keep on training. Homework is the "training" in maths. You do problems, and more problems, ad infinitum to get good at it. You CANNOT claim to be good at maths or to have completed a book on maths, IF you do NOT do the the problems! It's outrageous that some misguided elementary teachers ban homework - little wonder the U.S. FAILS in maths compared to other countries, esp China. Simply look at the PISA tests on maths - its embarrassing!
    2
  36148. How to self-study mathematical analysis??
    2
  36149. I would give it time if it had actual real world benefits
    2
  36150. ❤
    2
  36151. Thanks for your continuous content! Watching your videos always motivates me a bit :)
    2
  36152. I just never get why or when i will see the formula i was learning ever again.
    2
  36153. Is that what happened to your hair?
    2
  36154. Instructions unclear, I invented new math.
    2
  36155. The old head line cook I worked with from the Bronx completely disagrees.
    2
  36156. 85 2%
    2
  36157. Lol 😂 I cannot agree more.
    2
  36158.  @TheMathSorcerer  Agreed absolutely, calc 2 so far with integration techniques, volume, etc has been so awesome. It's the first time math has made me feel powerful. :))
    2
  36159. I don't know why Youtube sent me this channel, but I DO so like it, thank you for sharing, though I wish I could knew this when I was student. I got so bad at math after my math teacher said something negative toward me, but I wish I could tell that kid, it's okay, other people's opinions don't matter, even that's your teacher.
    2
  36160. If you shave your hair you will exaclty like jeff bezos
    2
  36161. I love the name of your channel
    2
  36162. Hi Sorcerer 🧙‍♂️！ Although I often train logarithm in the college entrance examination, generally speaking, it is a little difficult to combine the number and shape, and my personal ability is insufficient. This problem, when I was a freshman in high school, after I learned about sets, I learned about logarithms!
    2
  36163. Have you tried rust?
    2
  36164. the video watched me more than i watched the video
    2
  36165. Dear lord, what am I doing here?
    2
  36166.  @TheMathSorcerer  Yeah, he did LOTR and fire and ice and wizards. My sister and I went to see his version of Lord of the Rings back when it came out in theaters, we were blown away. Your logo brought it to mind
    2
  36167. I always wanted to start off as well as possible since that was when 1) the material was the most basic 2) least fatigued portion of the semester, so ironically it was probably the portion of my semester I put the most stress on myself, but damn does it pay off. It's a great feeling when you can go into a final knowing you can score a good chunk below your expectation and still 4.0 the class if all else fails, it frees you up to try your best without the stress. Also when you get into the cooler stuff as the class progresses you can enjoy it more without the grade lurking in your mind as much and you keep your momentum you started with, the good grade basically comes to you at that point.
    2
  36168. Thank You!
    2
  36169. Add some Optimisation too
    2
  36170. Your channel has inspired me to take up math again, this time as a hobby. Now I'm on the way to re-learning (and hopefully later go deeper into) differential geometry via self-study.
    2
  36171. You can avoid by parts by converting sin w into its exponential form.
    2
  36172. Finished my assignment just as the video finished :D
    2
  36173. Great information.
    2
  36174. “This is prefix notation as opposed to postfix which is what we normally use as humans.” Abandon humanity. Embrace the machine.
    2
  36175. Much of the world is basically the wave equation (the transmission of information), or the diffusion equation (the loss of information) ... or some combo of the two.
    2
  36176. Love this. Thanks :)
    2
  36177. Very inspiring. Thank you.
    2
  36178. I took calculus based physics last semester and got a 30 on the first exam so dropped it, I'm taking it again now, and I have no idea what i am doing at all, we have an exam in 2 days and I've put hours into studying and barely get the answer to 30% of the problems I've tried without help. I fear I may need to drop it again. I have no idea what to do
    2
  36179. I am doing measure theory, and some of the propositions, I just cant understand the proof, I feel very upset, I feel like I am a fraud.
    2
  36180. Hey man, just wanted to say this video was really insightful. Thanks for the tips!
    2
  36181. as an engineering student right now, i do most of my work on an ipad with apple pencil 🙃
    2
  36182. As you pointed out writing a math book is already a Herculean task, but writing excercise for a math book is just as much of an Herculean task. Many amazing book have no excercises and that is terrible. To the point of which they can become unreadable and even unapproachable. T_T Solutions are kind of the least of the problems, it is the presence of excercises that makes for a great book. Where I come from we were not graded by the excercises on books so that reason doesn't strike me as much. The reason I thought books stopped having solutions after high schools was because it is usually used to check if your solutions are correct, and at that level it becomes evident if your solution is correct or not. A reason the books, or professor's notes, on geometry in my first 2 years hadn't solutions (to be clear and to avoid confusion between different curricula they covered: linear algebra, affine geometry, euclidean geometry, projective geometry, hermitian geometry, conics, and little more) was because most solutions could be checked if correct. Going forward some excercises forced me to write pages of calculations and calculating sigularities and stuff, so I can imagine as to not want to write them all. As a side note, all the past exams with solutions were given to us, at least for these 2 courses of geometry, and many others, but I feel that this is a different story from what this video was about.
    2
  36183. I have a degree in it, so definitely no lol
    2
  36184. Well this was unexpected and a pleasant surprise. Nice 👍🏼
    2
  36185. hey buddy that's well explained.... keep it going ..
    2
  36186. These servers as really good reviews, I was going to integrate by parts just because it was more fresh in my mind
    2
  36187. Hey I'm from 🇮🇳 too! What r you studying rn? :)
    2
  36188.  @adityajaiswal6082  Now Cloud ,also in math precalculus - calculus and algebra at weekends..
    2
  36189. Can u learn this if ur in grade 7?
    2
  36190. POV : Sir Isaac Newton comes back from grave to give you a necessary reality check .
    2
  36191. I saw this video on my recommended and decided I'll give it a try Guys wish me luck 😢
    2
  36192. Thank you!
    2
  36193. this was rlly helpful since im choosing classes rn for the first time as i enter uni as a freshman, and i was just debating whether i should attempt to take real analysis and abstract algebra at the same time. thks for helping me realize tht mybe i should just try it and see how it plays out.
    2
  36194. Flauros Yikes!
    2
  36195. If you ever travel to Detroit, DO NOT miss the opportunity to go to "John K. King Used & Rare Books"; the place is an old factory they've turned into a five-story used book store that's been around for at least 30 years. I could easily go broke buying old textbooks and scientific manuals. Example: Last time I was in there they had a hand-copied manuscript of the Magna Carta circa 1400 CE selling for 35k (https://www.rarebooklink.com/pages/books/21-0609/magna-carta-in-manuscript). Most of their stuff is way more accessible but they do have a very neat vault section.
    2
  36196. I am not a math student so I can’t help but teach myself and it takes a lot of work lol
    2
  36197. You make a valid point. However, social environment may argue that time is the defining factor, because person A is in competition with person B and both have the same amount of time to tackle a problem.
    2
  36198. Why does he looks like Jeff Besos with a wig 👀👀
    2
  36199. Thanks for the inspiring videos. What are your tips for doing proofs when learning math solo? I'm often suspicious my arguments still have holes in them even when they look air-tight to me.
    2
  36200. What was the problem (verbatim)? Do you remember?
    2
  36201. Thanks from France !
    2
  36202. That hair looks like you got hit with a bolt of lightning and learned everything there is to know in 1 picosecond👍
    2
  36203. Hi , i have been uing your advice for maths and its turning out pretty good thanks !
    2
  36204. i speak in spanish but this really helped me, ty
    2
  36205. great video!
    2
  36206. A bit more of an advanced introduction, but Ronnie Brown's "Topology and Groupoids", a category theory oriented alternative/complement to Munkres is also free: https://www.groupoids.org.uk/pdffiles/topgrpds-e.pdf
    2
  36207. i am nobady damn
    2
  36208. I dont do maths, I do words, I havent read this book, and I use the same steps to solve problems. The main one I still attempt to solve: why people dont solve problems in the only possible way in any world full of humans: with the 4 steps?. But noooooo, old evil fellas gotta make wars and bills to freak the hell out of everything! :(
    2
  36209. What is the meaning of life? Speed
    2
  36210. Thank you
    2
  36211. I think there should be a book and topic called "pre-differential equations". One third the length of Stewart's calculus book. Nobody would miss the omitted topics, and it would really piss people off.
    2
  36212. Is that the skyrim font on the cover?
    2
  36213. In class: integral of x^2 Homework: double integral of e^(-x^2)*arctan^xy Final: quintuple integral of the fuck you function over the gravitational manifold of a rotating singularity
    2
  36214. I'm just gonna make a Moment of silence for the Anna !
    2
  36215. THICC
    2
  36216. It's better than ASMR. I fell asleep in 2 min
    2
  36217. Thank you very much! Your videos give me inspiration 🔥
    2
  36218. Good times! Series tests. I just had dejavú after watching this. It felt like I just learned it yesterday.
    2
  36219.  @TheMathSorcerer  thank you so much sir! Yes, there are 10 exams in total!!!
    2
  36220.  @TheMathSorcerer  Yea but I've been studying the more abstract ones Like sets, functions and relations
    2
  36221. seeing this 2 weeks after it was posted 😊 taking it as a sign
    2
  36222. “To prepare for the exam, make sure you read ch 1-12/notes/homework” exam is only 5 questions 💀
    2
  36223. Thanks for the tutorial, very detailed and I like your style as well!
    2
  36224. Damn the sorcerer spitting truth!, i too want to use math to trade, i want to use data science and do quant trading
    2
  36225. Interesting! I hope to see more power series related videos! :)
    2
  36226. Thank you very much sir 🤗🤗😊😊😊😊
    2
  36227. Very wise words and inspiring.
    2
  36228. Well said, sir.
    2
  36229. Thank you for such an honest and heart felt admission. I think it's wonderful that great teachers can put themselves on the line, for the sake of others.
    2
  36230. I love maths like I need air to breathe
    2
  36231. Excelente gran trabajo 🤌🏻
    2
  36232. This was my textbook in college. Pretty reasonable
    2
  36233. Just solve the equations you get from the derivative and intersection.
    2
  36234. Start to finish? Where's Lie theory, Galois representation theory, K-theory, preverse sheaves, Iwasawa theory, automorphic forms, abelian varieties, number field cohomology, the arithmetic and geometric Langlands programmes, algebraic topology, etc? Start to finish of math is a tall order.
    2
  36235. I'm not really good in Mathematics before,but then I started to love it with the right teacher😁
    2
  36236. Truly inspiring...
    2
  36237. Jajajajajaj 😂😂😂
    2
  36238. F.R.S. Fellowship in the Royal Society
    2
  36239. I recently enrolled myself into an Upper Division (undergrad) Group Theory class and many of the topics were just Discrete Mathematics on steroids, what book would you recommend I read to take my discrete math skills up a notch so I can keep up in Group Theory.
    2
  36240. When you return, start with something basic and do not rush yourself.
    2
  36241. Hope this works i'm doing this until my spring semester starts
    2
  36242. You are an amazing human being. Thank you.
    2
  36243. The comment section seems so quite only us three buddy. <3
    2
  36244. "touch grass" - The Math Sorcerer 2024
    2
  36245. I love calculus but I hate trig :(
    2
  36246. Jeff Bezos in alternate universe
    2
  36247. Do you have a video on solving recursive sequences by using diagonalisation / is there a chance you do a video on that in the future?
    2
  36248. Thank you so much sir,its a great explanation,I am from Guwahati(Assam) India,Kindly make some videos on Bays theorem
    2
  36249. This is becoming my daily inspiration 👍
    2
  36250. boom
    2
  36251. Honestly, as a word girl, I just feel too dim for math people. Way inferior. Nothing to beat themselves up over.
    2
  36252. If any math class causes me to read the textbook like I would a fiction book and not on the table, please send me to a psychiatrist.
    2
  36253. Dang. Wish we saw the website and the other cool thing he wanted to show.
    2
  36254. I wish I had heard your speech years ago while I was studying Maths.
    2
  36255. good video, but despite the last integrals are immediate, you should explain the work behind them
    2
  36256. Since you are slowly turning into a unique channel for math, since the days you gave Google ads for your channel I am fan of your enthousiasm. What I would suggest is this, We need more typical problem from a class of problems and how to solve them..like your examples from basic math and induction proof for inequality..please do more problems in a systematic manner. Mainly.for advanced topics where abstract notions obscures the math, insights and the process of "bringing down the abstract" to concrete examples and the full display of the math. This way we will go all the way up again to Abstract level. So Whenever you show us how to come down from abstract to concrete, we will go from concrete to the abstract!! A real beatiful teaching cum learning cycle. I think this is what most self learners want from sorcerer like you!!
    2
  36257. Sixth
    2
  36258. That thing about the problem you were trying to solve, the proof of the problem that was false... That is the most difficult part, knowing when the problem really has a solution so you can keep on trying to solve it or when the problem is wrongly stated and you better drop it.
    2
  36259. No, you just need just to be willing to become insane lol
    2
  36260. I am 26 and learning on my own. It will probably take you about two years working up to high school mathematics... start with arithmetic and move from there... algebra and geometry. Now since you will be doing it without a teacher look for books that come with solution manuals because you would want to compare your work or if you get stuck. I think you can find out books by searching online. I recommend I.M Gelfand books and Geometry by birkhoff and beatly. Then do some geometry from euclids elemnts book I and II.
    2
  36261. This is good advice for life in general.
    2
  36262. Hell yeah brother
    2
  36263. Just enroll in a university course of pure or applied math. If you cannot afford it, try MOOCs. Do not try to absorbe and dominate such a vast and complex discipline alone. It can be done (there are a few historical cases that demonstrate it) but it would be a huge waste of time and effort.
    2
  36264. I just wanna say that the positivity in this comment section is so uplifting, such a great community to be around !
    2
  36265. Neat, had it as textbook in high school in early 70s.
    2
  36266. Andrew tate looks good with long hair ✨👀
    2
  36267. I think this book belonged to the physicist Arthur Eddington's teacher John Williams Graham. A Quaker mathematician at Dalton college Manchester. https://archiveshub.jisc.ac.uk/search/archives/efbd605a-8ed9-3cab-8c1f-d7564f593420
    2
  36268. 2:08 A owed B = 2 So, B owed A = -2 C owed B = 2 So, B owed C = -2 Basically, instead of owing -ve 2, B will gain 2 when clearing accounts (-2) + (-2) = -4 It doesn't involve multiplication so that is not the example we need here. Don't be confused, people. He did it for comedic purposes only.
    2
  36269. AH BRILLIANT TIMING :D thank you so much!
    2
  36270. THANKS!!!
    2
  36271. Thank you for the video. I really needed to hear your advice. 💯 Keep up the great work 👍🏾👍🏾
    2
  36272. Mr griffin sent me here
    2
  36273. Hello Prof. Dourk.
    2
  36274. Which textbook are you using? Is it "A First Course in Differential Equations with Modeling Applications IIE" by Dennis G. Zill?
    2
  36275. Is this you
    2
  36276. Thanks for this
    2
  36277. Thank you
    2
  36278. Pure funks. 😂
    2
  36279. I live In Chico CA. at one time . Interesting Cal. State Chico was considered the top party school in the U. S.
    2
  36280. I ordered a Calculus book to study by my self. I know it will be very hard but i will do my best. Thanks as always with your incredible videos!!!
    2
  36281. Which book do you recommend ?
    2
  36282. Rented Seminumerical Algorithms from my university library 3 weeks ago…I don’t even know why.
    2
  36283. Thank you 👍
    2
  36284. 😂 💯% accurate!
    2
  36285. I had no idea that you taught at the university level. Do you have the entire calculus 1, 2, and 3 courses on You Tube? If so, I plan to watch all three courses, take notes and revisit calculus.
    2
  36286. Ty again
    2
  36287. A messy home is the mother of all procrastination.
    2
  36288. Keep on keeping on
    2
  36289.  @TheMathSorcerer  You might want to let people know that, so they can have a lot more examples and problems to work out.
    2
  36290. Thanks. That was awesome. Thanks sir.
    2
  36291. Im doing electrical engineering, but I have hidden love for math)))) So now im busy with Real Analysis, however im not really sure if this will be usefull for electrical engineer :/ I just found a PDF with a list of 450 free scientific books of Springer (Springer Free Ebooks) and I just got into it)) That it how I found your channel, bc I coulnt proof that if A is a subset of B then A intersection B = A.
    2
  36292. Thank you so much for this, Sir. Youtube has recommended this, and I don't regret clicking this video because I just heard the perfect message for me. I have a hard time studying our new lessons in math because my failed exam always haunts me; just listening to you sir, boosts my courage to continue focusing on the present, and do well for the future. Thank you!
    2
  36293. If jeff bezos would wear a wig
    2
  36294. bro is starring into my soul judging my math skills
    2
  36295. Answer is 1/2
    2
  36296. Great review. I think Jordan was French so it is perhaps better to pronounce his surname accordingly tho.
    2
  36297. thanks a lot !
    2
  36298. Good, zero is my least favorite number anyway ;)
    2
  36299. If you don't memorize stuff with trigonometry, you're dead.
    2
  36300.  @TheMathSorcerer  Hey Sorcerer, en otra cosa no relacionada, has visitado los canales BlackPenRedPen, LetsSolveMathProblems, Flammable Maths (aunque su humor no es para todos), DrPeyam, y MateFácil o EasyMath (narrado en español pero con captions/subtitulos en varios idiomas) ? Son principalmente de solución de integrales, pero también de otras ramas matemáticas. MateFácil o EasyMath también resuelve problemas de Física porque el autor se graduó en Ciencias Fisico-Matemáticas. Y sus videos tienen una producción visual muy buena.
    2
  36301. Thanks for wonderful explanation.
    2
  36302. still have my ti-81 and ti-92 from 1991 and 1996 respectively.....
    2
  36303. The timing is crazy, I thank God for landing me in this video and you to my guy, thanks ❤
    2
  36304. I need to learn probability. More specifically conditional probability. I am watching math videos from YouTube, also having course from Udemy. But I was searching for best and also free book which I can read and solve tons and tons of problems. Could you please recommend me some books on probability.Thank you
    2
  36305.  @TheMathSorcerer  A First Course in Probability by Sheldon M. Ross
    2
  36306. Great vudoe, just what i wanted to hear!
    2
  36307. The solution is trivial and left as an exercise for the reader
    2
  36308. I have this book on the shelf at work. I work mainly as a c++ software engineer in the medical imaging research field and I am on the same job for more than 25 years as my hire date was May 19, 1997. I have not looked at it in more than a decade but I do have a copy..
    2
  36309.  @TheMathSorcerer  thank you!
    2
  36310. Going to accept your advice and tomorrow I am going to read that group theory book which you recommended previously - which I didn’t understand when I started to read it - but now I am gonna give it another shot and read it anyways 😊 Also will this work for physics? I always liked physics, but now I am starting to like math more. Not that it is a problem but I want myself to like physics to as much as I like math... so will this work for physics too ? Will I get pleasure out of it ? I really want learn it... 😊😊😊
    2
  36311. I would add that a neuroscientist said that there are this incredible data on micro resting aka "gap effect" that can dramatically increase learning capabilities. You rest every so often (doing absolutely nothing during 10 seconds) in the middle (at random) of your study, then you resume your study. Without you knowing it the hippocampus (and the neocortex) undergoes replay of what you are studying at 20 times the speed, also in reverse just as in sleep and that can lead and has been shown to lead to acceleration of learning ...
    2
  36312. Thanks for this; I've kept pulling this book off the library's shelf and wondering if hindsight would prove it's really the right one.
    2
  36313. Awesome, thanks for covering this one
    2
  36314. extremely useful thank you
    2
  36315. One of the reasons for the succeses of the Dutch educasion system is having to learn langages and, since the level of educasion has been drasticaly lowered at least twice since my grandparente left school, it used to be even more powerfull. (And malfunctsions at the moment. ⅓ of the 15 year olds is not able to read normal texts.) For higher education you are obligated to learn three foreign languages: English and two other, usually German and French, since they used to be obligated. Now, spanish is growing, usually instead of French. When the levels where at the highest (arount the time of Einstein), Dutch officials and scientists were able to talk to their French, English and German speaking colleagues in their languages and read their works without translasion. I can only do that to some extent with English and German. With French, I really need a dictionary, so conversation is not going to happen. ('Je voudrais ça' is really helpful in a bakery, but not in science.) I chose latin and Greek and I must say they can be really helpful.
    2
  36316. A natural transition into MIT 6.001 "Structure and Interpretation of Computer Programs" feels appropriate here. You will find the language used MIT Scheme, a very clean language compared to the non-mathy line noise in the Algol descended languages. The book has more math vigor than most other text books. The videos are also available: https://www.youtube.com/watch?v=-J_xL4IGhJA&list=PLE18841CABEA24090
    2
  36317. My math is probably on par with an 8 year old
    2
  36318.  @TheMathSorcerer  I don't have any real reason to improve, but I want to. Your content seems promising.
    2
  36319. This is a fantastic list! Some of my favorites are on here: Friedberg's linear algebra, Royden's analysis, Brown and Churchills complex analysis. Sad to see that my personal favorite, Dummit and Footes Abstract Algebra, didn't quite make the cut 😭.
    2
  36320. "I'm being a little bit abusive here" lol!
    2
  36321. Your book it in great condition compared to some of mine. I have math books that I have carried around a lot and used very.often that are literally ragged. But the information in them is still good S new.
    2
  36322. Bezos?
    2
  36323. The calculus videos that u uploaded are so good and can u please suggese a good book for calculus beginner and advanced so that I can practice more of it ...........
    2
  36324.  @TheMathSorcerer  thanks for that🙂
    2
  36325. Good
    2
  36326. Thank you so much this helped a lot
    2
  36327. The sorcerer in your party:
    2
  36328. Awesome!
    2
  36329. A man had two sons. One went to MIT and the other went to dental school. Both studied calculus.
    2
  36330. Thankyou
    2
  36331. Snacks
    2
  36332. Thank you for this solution!
    2
  36333. <3
    2
  36334. In Europe I struggle to find these book second hands ("Discrete Mathematics with Application" and "AGS Pre-Algebra" ) with a reasonable price, most of them are expensive because of the shipping costs (from USA). Do you know some equivalents of these books that are more common in Europe?
    2
  36335. Nice, I love your advice!!
    2
  36336. Good explanation thanks!
    2
  36337. could you make a video explaining the abstract algebra theory behind differential equations ? with vector subspaces and stuff ? please :) love your videos thanks
    2
  36338. You are 100% true sir.🙏
    2
  36339. Ok so I've never played that game in my life so this is the first video of yours that I can't understand at all XD even with the fact that all your videos are in English and I speak spanish uwu
    2
  36340. Hello, TMS. I was wondering if it was possible to speedrun this book? (I have an exam related to foundations of mathematics) Cheers:D
    2
  36341. In my opinion personally I think it is a psychological thing on how well you process mathematics. My brain for instance can do most algebraic equations in my head because it just makes sense to me beacuse of how my brain processes things but if you ask me a geometry question I have to take a minute to work it out.
    2
  36342. You're the "David Goggins" of mathematics... Thank you. For someone who was never listed amongst the "gifted and talented", I've always struggled. Thank you for making me feel less defeated. Your words have motivated me to move forward. Thank you!
    2
  36343. I had this book since 2002. Yes it is a lovely book, but can it be used to study those topics from a scratch? Would it not be better to do them from books dedicated entirely to those topics, individually?
    2
  36344. sir please reply i wanna ask u about this video https://www.youtube.com/watch?v=aiCztKhPjr0
    2
  36345. I heard some of those fo real.
    2
  36346. 👍
    2
  36347. Wow. Thank you so much.
    2
  36348. i was just doing my vectorial analysis homework and its freaking hard, i really needed this bc this is so true.
    2
  36349. Thank you
    2
  36350. The problem with maths (as with many things) if you stop doing it, you will lose it. Like gymming vs. muscle.
    2
  36351. So, how would I do the 2nd derivative now? Looks painful.
    2
  36352. From ChatGPT: "In the context of the Laplace transform, "s" is a complex variable that represents the frequency domain variable. Specifically, s = σ + jω where σ and ω are the real and imaginary parts of s, respectively. "When the Laplace transform is applied to a function f(t), the resulting function in the s-domain, denoted by F(s), represents the frequency spectrum of f(t). The variable s is used to parameterize this spectrum, and its location in the complex plane determines the behavior of F(s). "In summary, s is a complex variable used to parameterize the frequency domain representation of a function obtained by the Laplace transform." A likely follow-up question is, "What is the 'frequency spectrum of f(t)' ?" (:
    2
  36353. The hardest will probably be methods of mathematical analysis, if not some non-euclidean geometry class..
    2
  36354. my man, ty
    2
  36355. Sir, I am too curious to study maths and I want to study number theory through elementary introduction to number theory but i haven't such money that I can buy it please either send me pdf or help through other ways ,please sir
    2
  36356. Ahh I miss these types of proofs.
    2
  36357. I didn't know how to solve for x in (a+bx)/(c+d)=e+f when I got in college
    2
  36358. not that I didn't grasp many concepts very early, but algebra was just boring to me
    2
  36359. If you’re 110 then you should probably get a second opinion. But otherwise you’re not too old lol
    2
  36360. lol
    2
  36361. I love Math ❤❤
    2
  36362. Thanks for the help. 👍
    2
  36363. Ovoid distractions...me who paused my work to watch this video on YouTube
    2
  36364. Disclaimer before watching the vid: this only works if you were born with a quantitative reasoning index at least 2 standard deviations above the mean
    2
  36365. Aurelio Baldor is my cousins great grandfather!! Cool dude!
    2
  36366. Top-tier math therapist right there! And by all means, it's great to hear that advice. Thank you.
    2
  36367. Its useless lol.. But I do believe the buy low/sell high mantra. Prices can move like pendulums over long periods of time due to attitudes of the masses. Atleast forex pairs functions this way.
    2
  36368. After YouTube recommending me this video for 4-5 times, finally watching it now.
    2
  36369. This man is half Newton half Ed China.
    2
  36370. Thank you. Going to use this to prepare for a graduate level data science program.
    2
  36371. you deserve so much more sir
    2
  36372. Thank you for you’re videos ❤new subbie!
    2
  36373. Great vid! I used Purcell's for Calculus and it's a pretty decent book for me. Btw in my uni, i need to take geometry classes (Analytical Geometry, Transformational Geometry) and i struggle the most at it
    2
  36374. Yes! Navigation! Haversine. Love this topic. 🥰
    2
  36375. Yep basically haha
    2
  36376. The next more important book is Dijkstra, Edsger W. (1976). A Discipline of Programming. Englewood Cliffs, New Jersey, EUA: Prentice Hall. 217 páginas.
    2
  36377. I love this guy!!!
    2
  36378. This is soo funny 🤣🤣
    2
  36379. hi i'm new to your channel and so far i think it's great so thanks :) actually i just got into college in computer science major and i am weak in math basics and fundamentals and i have a gap out of math for about 7 to 8 years since the high school . right now i'm struggling in my classes because i'm way behind and the lack in basics. any suggestions The Math Sorcerer?
    2
  36380.  @TheMathSorcerer  thanks man i watched that video and i got some of those books including discrete math by Epp and soon i will dive into it. and yes i have calculus now in my first semester but the only way to pass the calculus exam for me is cheating and i don't like cheat on some of classes like this that are core for my major so maybe next semester i retake calculus after improving basics
    2
  36381. Mir means world in Russian and Rusky Mir means Russian World.
    2
  36382. You've got to get the book back to Tony at Boeing, and get a book of your own. I know he'd love to have it.
    2
  36383. Mathematic students don't study as much as medical students.
    2
  36384.  @TheMathSorcerer  Medical school students studies at least 14 to 16 hours a day. Until the law limit the resident hours, residents would work and study 18 hours a day, just 6 hours to sleep, eat, shower, and go to a bathroom.
    2
  36385. Thank you very much
    2
  36386. For me, I used paper with very small lines so that I could show all the working in one place. Also forces me tk write neatly and carefully.
    2
  36387. thanks a lot ❤
    2
  36388. The cover of that book is awesome.
    2
  36389. Often, when you trace your attempt at a solution of an unsolvable problem, there is a place where a plus sign mysteriously turns to minus, or the other way around, for no apparent reason. And sometimes, this is already part of the misprinted problem in the book...
    2
  36390. lol
    2
  36391. Thanks a lot sir . Your videos have been so helpful to me.🙏🙏lots of love and support from India 🇮🇳 ❤️
    2
  36392.  @TheMathSorcerer  If you want to know who my Abstract Algebra professor is, search up “Moduli Spaces of Line Arrangements” on YouTube! He actually is a very excellent professor, in my opinion!
    2
  36393. Mr Math Sorcerer, I have nothing more than absolute respect, for your love of Mathematics!
    2
  36394. Your videos help me to be motivated each day.. Thank you.... From Bangladesh🇧🇩
    2
  36395. This is extremely helpful in proving some trig identities!
    2
  36396. I took Calc 2 in the 70's (yes, I'm the old guy) and it was a BEAR. Yes. I definitely agree that Calc 2 was the toughest of the three courses. Our prof was a visiting professor from Germany. He spoke with a shrill voice, a thick accent and quickly. You really had to pay attention to get anything from his lectures. Very nice guy and approachable, however. I got a B in the course and for the life of me I'll never know how I managed that! Coincidently, my son, a computer engineer, agrees completely, too!
    2
  36397. This was very nice to hear. Good luck to everyone!!
    2
  36398. Great video, as always!
    2
  36399. Am starting my maths YouTube channel soon
    2
  36400. Do you think if I study algorithms will help me to get better understanding for math!?
    2
  36401. Understanding Proof by Smallest Counterexample the first time I learned it was tough, but thanks to God that I got through it!
    2
  36402. That's gonna be a no from me dog.
    2
  36403. Hi
    2
  36404. The same once struck me... Thanks for dealing with this, Math Sorcerer!
    2
  36405. Very true. Math is easily my best subject, and i have always done this naturally. I should try to apply it in other subjects.
    2
  36406. Ramanujan learned math with this book I read : ramanujan learned math with tiktok
    2
  36407. this is literally me lol
    2
  36408. genius. i love u
    2
  36409. The ultimate "left as an exercise for the reader"
    2
  36410. Is wolfram alpha a real thing.
    2
  36411. Very clear, nice job.
    2
  36412. thank you!
    2
  36413. Thank you so much
    2
  36414. Thanks sir
    2
  36415. 10:58 was insane
    2
  36416. I don't know why i hated projections in my calc 3 class. You made it seem so simple.
    2
  36417. the school doesn´t make maths interesting for the students, or maybe I wasn´t interested in it but now I want to learn but i suck at it :[
    2
  36418. Good
    2
  36419. The 3rd edition is printed by Sichuan University in Sichuan Province, China. Definitely illegal.
    2
  36420. Ross really is the trademark name for anything related to probability and stochastic processes.
    2
  36421. Sir, I read books of math and many times I finished reading books but I didn't get 90 percent stuff. Does this is good practice for learning math or it's waste of time. Help 🙏
    2
  36422. Hello, I used to have a scientific calculator, but then I bought an app for my mobile, and it's great. Hyper Calc Pro. I recommend it.
    2
  36423. Tnks
    2
  36424. You are very wise
    2
  36425. Wow, I am struggling with chemistry now, but I still felt inspired to keep pushing.
    2
  36426. Love your videos, thank you
    2
  36427. Thanks dactor
    2
  36428. SPEED
    2
  36429.  @arshadali2312  thanks
    2
  36430. This is so true. I was an absolutely bad math student & now I give private math lessons😂
    2
  36431. Do you know if udemy give courses about how to use the computer sistem SAP?
    2
  36432. They would have to be well practised in their course work to get through that many questions in 2 and a 1/2 hours
    2
  36433. I have a lot of passion, but I'm too lazy to work hard.
    2
  36434. 02:31 You just read my mind. God, the Greek Alphabet is just revolting, and the letters ξ,ψ were useless all through ancient/archaic to modern Greek.
    2
  36435. But no one wants to fail though. 😕 I'm in college for Computer Information Systems. I'm good w everything else. But math noooo. Basic Concepts I made 80%, linear equation 45 F!! Then the next test 65 n I made it up I have an 85%. I can make up the other but yeesh. Immediate algebra makes me mad. Excellent Video ❣💜💞💕
    2
  36436. thanks for your help (o^^o)
    2
  36437. Red = Really Hard!
    2
  36438. Thank you so much for your videos professor, Could you show us some video related to tensorial calculus? i need it to understand einstein relativity
    2
  36439. That very moment when math major can't calculate the age of the book knowing it's press date))) Where are you getting all of those cheap books from? Library? Secondhand? If so, where?
    2
  36440. First 🙃
    2
  36441. Excellent explanation
    2
  36442. 04:39 i sat up straight at this, great piece of advice :) thank you
    2
  36443. I love how you don’t have many cuts in your videos. Do you memorize a script or do you just go off on a tangent?😂
    2
  36444.  @TheMathSorcerer  Haha I always thought your videos sounded a bit like when people are asked to make an extemporaneous speach on a random topic. Great content nevertheless!
    2
  36445. In which institution,you teach Mathematics,Sir?
    2
  36446. Topology 🤗
    2
  36447. wow nice
    2
  36448. I am the first one to view and like as well.
    2
  36449.  @TheMathSorcerer  Thank you for this excellent video. Please do a problem like this again but do the price plus tax and calculate it please.
    2
  36450. Love your videos!
    2
  36451. what book do you use for this class?
    2
  36452.  @TheMathSorcerer  thank you
    2
  36453. thanks for explaining everything you were doing clearly
    2
  36454. I think your right.
    2
  36455. Great explanation, thank you!
    2
  36456. Over thinking, you need to be stupid at times and take action. But dont forget to take some common sense and your knowledge of your trade.
    2
  36457. Man, I needed this. I recently started my masters in algebra and the amount of material is overwhelming. Taking courses in algebraic geometry, algebraic number theory and graph theory is a lot to take in, but I won't give up! Thanks for the encouragement.
    2
  36458. my man glew up the last time i saw him
    2
  36459. Eeeeeeasy
    2
  36460. Thanks for your recommendations. My college course books are ok but are clearly designed to be taught in conjunction with a lecturer. Not standalone, as many math problems leave you hanging.
    2
  36461. Maybe colleges gravitate towards certain books by inertia (or, more malignantly, by publisher payola) so other books that got written on the same subject just never get picked up. Most people don't bother to go after two introductory books when they're learning a subject.
    2
  36462. Very cool
    2
  36463. Thank you very much you're legend
    2
  36464. Looks complicated but it's very easy indeed...
    2
  36465. I love how youtube recommends this video the day I don't pass calculus 2..... Fucking awesome... ⚡⚡
    2
  36466. In my opinion grades are only for administration, it's just an evidence that you took the class. It's definitely not representing in most of the time your effort and invested energy into learning and understanding a really hard stuff, called math. Some people just can't perform 100% under pressure, when the see the clock ticking, even though the may know the material perfectly. So yeah, grades are grades, but the experience, the effort, the time you invested into learning is more valuable. So focus on learning! Good luck!
    2
  36467. I’m finishing up ap calculus ab which I have been told represent calculus 1 and 2 (Bc is calculus 1, 2, 3, or so I’ve been told) and I haven’t seen improper integrals, integration by parts, or partial fractions yet, should I have seen these? I am only 14 so I may be missing something.
    2
  36468. The Math Sorcerer yeah I just found that. The university near me classifies cac 1 2 3 separate from multi variable so i was a bit confused. And by hyperbolic functions you mean like sinh cosh and tanh, and their inverses
    2
  36469. That was clear and helpful. Thanks
    2
  36470. MAJOR LEAGUE FLASHBACK! HAPPINESS!!!!
    2
  36471. A graduate school is a type of university.
    2
  36472. what if the numerator is smaller than the denominator
    2
  36473. Looking Sharp with the with new hair-do!
    2
  36474. The book is nice, but it lacks examples.
    2
  36475. i dont wanna
    2
  36476. this looks like a really nice book
    2
  36477. the last hits deep...
    2
  36478. make a video where you take the exam! Nothing like worked examples 70 years after the fact...
    2
  36479. One of the best STEM channels on Utube....
    2
  36480. What is that website that you used for finding books on many different websites?
    2
  36481. Very helpful!
    2
  36482. great vid, you look like a surfer jeff bezos
    2
  36483. Yeah, I did Intro to Statistics my first Semester going back to College. I learned every skill as it was presented but hen before the Final I realized I really needed to stand back and get a Big Picture view of how it all fit together so I could identify which skills went with which sort of problem. I'm homestudying Calculus now and work out of three books: The Stewart, a Thomas, and a Larson. The Stewart book has a chapter that Thomas and Larson don't have in "Techniques for Integration" which is "Strategies for Determining Which Method to Use". You see, each section focuses on a particular method and that is the one you use, but what do you do when you just get a Calculus Problem out of the blue (first see if it will Sub!). But, yeah, everything nowadays is Specialized. But so much in Real Life requires us to see the Big Picture.
    2
  36484. Well you term it tenacity I term it 99% perspiration 1% inspiration...all ot takes is a single moment for it all to make perfect sense to you and when you can learn to build on those major patterns you see emerging in a topic...you'll be well on your way..great advice!
    2
  36485. If you want all the answers you need the "Teacher's Edition." The even numbered answers are left out of the student book so homework can be assigned from those questions and students can't just look up the answers. Lazy teachers don't want to make up their own questions, lazy students don't want to do their own work, and cheap school districts don't want to spend for a separate workbook of homework assignments, so we get a book that one is only half useful for teaching oneself. Now you know.
    2
  36486. Professor doesn't speak English very well? I don't speak Math very well
    2
  36487. allen iverson agrees 🥺
    2
  36488. After all, practice makes perfect!!
    2
  36489. me when i try to pass i fail but me when i circle random shit i pass.
    2
  36490. Thanks for the tip professor!
    2
  36491. Yes...your channel is very important to improve math learners among beginners and students far better than any other way...
    2
  36492. Will surely try but some
    2
  36493. thank you so much..
    2
  36494. Yes. Thanks for asking :D
    2
  36495. OMG SUCH A NICE VIDEO
    2
  36496. I think the final sacrifice to become genius learner is that giving your self for that aim fully 😢
    2
  36497. gets a little murky the logic dealing with the sign of (1+a ) at 3:45 , kind of reverse logic. see https://math.stackexchange.com/questions/181702/proof-by-induction-of-bernoullis-inequality-1xn-ge-1nx Nice video, i am hooked to math (and your videos).
    2
  36498. I used larson's linear algebra. Nice book
    2
  36499. Which course was that? I had a similar situation with measure theory.
    2
  36500. i love math😍😍
    2
  36501. Very helpful!
    2
  36502. I understand now why so many people have liked the content and thank you for the vote of confidence and motivational information well said please please keep up the good work I will continue my quest of knowledge and never give up on myself God Bless you brother and long live the fighters!!!!!!
    2
  36503. Man I love you. Thanks for the empathy
    2
  36504. I agree, thanks.
    2
  36505. .subscribed. very good approach.
    2
  36506. Where can i get more videos on the topic in the channel…couldn’t find them..any help
    2
  36507. I’m going to need this video for Fluids next quarter
    2
  36508. Big hugs from METU MATH DEPARTMENT as a math student. Big hugs from Turkey
    2
  36509.  @TheMathSorcerer  Guten Abend from the other side of the world. Buenas noches hechicero de mathematica^^
    2
  36510. Always turning our lives easier...nice video.
    2
  36511. I swear I love your beanie look
    2
  36512. Looked to order this book on Amazon. I’m going back to re-learn Calculus (studied it in the 1970’s) Hardback New was around $950 (WTF).. However, found used versions for around $10.00 - $14.00.
    2
  36513.  @TheMathSorcerer  After ordering it from Amazon.com and having the order canceled and refunded because they didn’t really have the used book. I’ll check out book finder.com
    2
  36514. Sabhi gadu he
    2
  36515. great video i just wish it had timestamps for the different sections
    2
  36516. Imagine the brains it takes to translate this shit from Russian to English. English is my first language and I have no idea what the opening paragraph at the 4:55 mark actually means😆 then again I ceased being required to do mathematics at school when I was 16 (an opportunity I readily took up to focus on humanities), so I guess that’s to be expected.
    2
  36517. Is there a waterfall near you?
    2
  36518. quick thoughts: i'd argue it is not like art where you know nothing and can appreciate it. understanding feels rewarding. seeing how math has evolved and the relevance + importance of it in our world is cool, valid, needed. one book i'm reading now which does exactly that is: Mathematics Its Content Methods and Meaning. you can find a pdf online and get a great appreciation of how math came to be and never do math. or watch videos of beauty of math, math is awesome, etc.. change the words around for results.. but try and do some math. it is better when you understand what governs our world and even your life.
    2
  36519. Sun tan 🌞.
    2
  36520. Omg the timing i have a two weeks winter holiday ❤️❤️❤️
    2
  36521. so genius!! you really cleared up my mind
    2
  36522. I am currently taking 5 classes. I feel like I am mostly focusing on assignments and labs, and find it difficult to schedule solid study time. Its all balance and time management for sure, but I am wondering if you have any tips to recommend?
    2
  36523.  @TheMathSorcerer  Thank you! I really appreciate your words.
    2
  36524. I'm already a genius.
    2
  36525. Thank u. I invite you teacher to learn about Islam.
    2
  36526. Thank you, It was really helpful and supportive. I felt seen and understood. It makes me more hopeful of myself and keep improving
    2
  36527. you forgot the part where he works with the US government to spy on third world countries to maintain semi-colony status and sometimes organize a coup d'etat or a military invasion
    2
  36528. This is GOLD.
    2
  36529. Oh my gosh, you just helped me do this online statistic class.
    2
  36530. Thank You Mr. Math Wizard… I am doing really good at my exams now
    2
  36531. Nice.
    2
  36532. I sniffed a phone too)) Thanks a lot)
    2
  36533. Thank you!!!....
    2
  36534.  @TheMathSorcerer  had you ever heard of Henry Dudeney?
    2
  36535. Second
    2
  36536. Sir i wanna mastered Real analysis & linear so which book should i read more... From novice --> Master
    2
  36537. I've taken Cal 1-3, Financial Mathematics, Differential Equations, and a proof based Linear Algebra course (by far the hardest, but still managed to get an A). I'm thinking about taking Complex Variables next semester but I was also thinking about taking Partial Differential Equations or a Mathematical Modeling course which uses Differential Equations/Linear Algebra. What do you think is the best course to take (could be any, not necessarily ones that I mentioned)?
    2
  36538.  @TheMathSorcerer  Thanks for the advice! I found that Brown/Churchill you featured on one of your videos online for free :)
    2
  36539. real
    2
  36540.  @TheMathSorcerer  Sir i need one help, can you please suggest a book for Group Theory, (for a beginner)
    2
  36541. Always enjoy your content.
    2
  36542. Hey, The Math Sorcerer what do you think is the most difficult class of a math major? i took real analysis as my first course, and i almost finished it, it was a long and diffucult jurney for me, as some one who only knew a litle bit of calc, but im lucky i had good algebra and a great teacher
    2
  36543. Do you have to mathematically prove Unicorns don't exist for the proof to 'be valid'?:)
    2
  36544. LOL
    2
  36545. Where did you get that textbook? I have been trying to check it out from the library and I have not been able to find it.
    2
  36546. What you have did to your hairs😤
    2
  36547. Thank you!
    2
  36548. The big problem for me is: where to start. I did well in math, in high school, many, many years ago. It occurred to me I forgot almost ALL of it. So how do I get back to it? What kind of course of study can I give myself?
    2
  36549. Goat
    2
  36550. Is that Jeff Bezos with a Wig? Bezoooos...
    2
  36551. You have to have a pair to have zero. You just took half of the pair, which is not zero. Where I come from, we would say you got all whilly nilly with yoir parentheses.
    2
  36552. You are telling me there are people who would not want a ridiculous math book collection? I would just get rid of my bed and just sleep on my books if it came to it XD
    2
  36553. My favorite books on Math are Guidorizzi (A Course In Calculus), Apostol (Calculus) and Strang (Linear Algebra).
    2
  36554. Used the 7th edition at Rutgers about 30 years ago. Great textbook.
    2
  36555. Time and tide wait for none. If you really want to do something better, don't procrastinate.
    2
  36556. Thank you. It really explained well. I have trouble understanding our textbook.
    2
  36557. sir you made it spper dooper easy
    2
  36558. Great advice! 😊🙏🏾❤️
    2
  36559. I'm taking calc3, Physics3, machanics1, Introduction to material science, numerical calculus, Algebra1, experimental physics 3 and computacional drawings this semester. That's what u pay for trying to do a double major in Marine Engineering and Mathematics, I'm glad my college is for free, so I don't have to worry about loans or work, otherwise I'd be tottaly screwed 🙃🙃🙃
    2
  36560.  @TheMathSorcerer  Thanks man, your videos always help me keep motivated!
    2
  36561. You are right. I should probably stop watching this video and go back to my Excel sheets and the numbers I am using as an analysis tool.
    2
  36562. Oh f*ck it, I'm gonna do it then...
    2
  36563. I can vouch for the Essential Calculus Skills ractice Workbook. Excellent book, great fun. Sad to see not a single Schaum's in the lsit. Nobody is better at self-study aid than Schaum's.
    2
  36564. @The Math Sorcerer I’m 13, and I want to excel in math. I decided this was a good vid for me. You gave Amazon links for the books in the description, but the first book seems to be over 200 dollars. I found the book online, and the book is over 900 pages. I don’t know if I would be able to understand it or actually even finish it before I get bored. Any suggestions? (Also I have a vid suggestion for you, how about “how to read eTextbooks) Thanks and that would be great pls.
    2
  36565. I’ll try. Do you think I’ll understand or should I start with the pre-algebra?
    2
  36566. What are the sources of these examples, please?
    2
  36567.  @TheMathSorcerer  ok thanks
    2
  36568. But I worked hard and still failed I think I should study smarter rather then more harder
    2
  36569. Thank You Sorcerer for your concern! Your advices are very helpful even though i am a programming student. Thanks a lot! 👏👏👏👌🤝🤝
    2
  36570. You can do whatever you put your mind to. Work hard. Dont be afraid to ask questions.
    2
  36571. Sorry I am new to this channel. But are you Jeff Bezos?
    2
  36572. wait so let’s say someone didn’t know a thing about math could these still work
    2
  36573. Thank you so much for posting the video and for the amazing lesson professor! You can't imagine how helpful and beneficial it is! I was zero at D.E. before, but now I am sooo good at it and it is by your assistance! Best wishes!
    2
  36574. Thank you for that, not a lot of people make videos that motivate you and help you have the attitude necessary to succeed at a field as crazy difficult and vast as high level mathematics. And a lot of people badly need to hear those things from somebody who is further ahead in the subject than they are themselves. I know that I need it, at least.
    2
  36575. This is help full for people taking distance education
    2
  36576. But Common Core hasn't been around that long. There is something more fundamental going on that is the problem.
    2
  36577. End of the world 😂😂
    2
  36578. As the best, it is definitely worth it to try and be the best :)
    2
  36579. It actually made me chuckle when he said "and then we get to the, uh, space-time continuum"
    2
  36580. Idk why but this video has me now considering a math major, I'm a freshmen rn 😅
    2
  36581. Good
    2
  36582. 3,521,670 views ？
    2
  36583. I use the Kuru Toga mechanical pencil by Uni-Ball as it never loses its edge while writing. No need to sharpen it!
    2
  36584. GOD real analysis. I aced it but only because my prof was absurdly generous with grading. I took it literally two semesters ago, much of the class failed because they copy-pasted answers on the take home final off of Chegg and their copy-pasted answers were incorrect.
    2
  36585. 👍 ... from "A graphical approach to Algebra & Trigonometry Hornsby Lial Rockwold"
    2
  36586. math is a human conception and only part of math reflects into reality (say calculus among a few other fields). any similarities to other entities are purely coincidental. the fact that we can approach an understanding of the physical world via math is a consequence of us being part of the natural world. no magic involved.
    2
  36587. When I don't understand something at its concept but I understand how to solve it, I will practice through exercises and try to understand in the practice
    2
  36588. Have you read Courant and John's two volume work "Introduction to Calculus and Analysis?" Ibought a copy, but haven't gotten around to it yet.
    2
  36589. Right on the money! When we're young, we are taught failing is bad and develop a phobia of it and a need to do anything to avoid it even if it includes just setting the bar lower for ourselves just so we don't have to experience more failure. How insane it that? I had a terrible calc 1 teacher and thought I was going to fail that class. I nearly dropped it (half the class dropped by mid term) but at the last minute I came to my senses and told myself "I've gotten this far and there are only two possible outcomes, 1. I fail but have gotten all the way through the course, did all the homework, and sat for the final which will make it much easier the second time around." Or 2. I pass and move on to calc 2. I ended up getting a B- and an important lesson in never giving up even if it means failing. I ended up getting a B+ in Calc 2 and an A in Calc 3! Persistence, determination, hard work, and especially the willingness to accept failure, really pays off. Your videos are great! I just recently found your channel and am really enjoying your stuff. Keep up the great work! Cool hair too!
    2
  36590. This is Amazing hahahah
    2
  36591. This is very helpful - especially the bit about getting as many resources as possible. I found this at university - it was the 10th book on partial differential equations that explained the application to a a sphere in a way that I could understand and up to that point I had felt hopeless. Everyone else in the class who passed must have found the prescribed textbook good enough but it didn't work for me.
    2
  36592. Good stuff as always
    2
  36593. Whats with the eyes? 😱
    2
  36594. I like the Schaum's Outlines but sometimes I think the proofs are not written so well.
    2
  36595. Hey, thankyou, what a powerful and imspirimg message!
    2
  36596. I wonder how much of this stuff can be done all digitally with a tablet or something.
    2
  36597. How can I get this book
    2
  36598. What are the prerequisites before trying to understand complex variables?
    2
  36599. Options, Futures, and Other Derivatives by Hall is highly regarded
    2
  36600. Our Mathematical Universe
    2
  36601. is this suitable for a self learner? can this be my first calculus/analytical geometry or should i purchase and work on this once i get better?
    2
  36602. If possible, I would like to hear your assessment of this book, Partial Differential Equations with Fourier Series Problems and Limit Value, by Nakhle H. Asmar. Thank you!
    2
  36603. Really good view of the actual content in the book. Thanks!
    2
  36604. Funny how I was reviewing my natural logarithm properties a couple hours ago as I study for my analysis class, lol. This video helped solidify my understanding. Thank you.
    2
  36605. I tried the XIV derivative problem, it's not really hard but it certainly was a bit tedious, the answer alone took up 3 lines of A4 space lmao... d/dx [ sin(6cos(6sin(6cos(6x)))) ] turned out to be equal to cos(6cos(6sin(6cos(6x))))*(-6sin(6sin(6cos(6x))))*(6cos(6cos(6x)))*(-36sin(6x)), yikes.
    2
  36606. Tq so much may Universe shower u wd happiness and wealth
    2
  36607. Confused about the same, I get confused about the basic axioms or logic itself, invoking philosophy.
    2
  36608. Thank you this was actually super clear
    2
  36609. i wish that i discovered this channel earlier.
    2
  36610. Sir please make a video on how to start chemistry preparation for beginners......!!! Its a request
    2
  36611. why is the brightness every video so high xD don't you see that ? :D
    2
  36612. I used that book for calculus 1-3 😄
    2
  36613. Looks like a great book
    2
  36614. Wow. I'm the first to watch the video. Anyways great video and very good explanation, thank you!
    2
  36615. Where can you find the grade thresholds my man
    2
  36616. Some people understand math without any effort but suck at sport or language. Some do any sport without effort but can’t even do simple multiplation. Some can’t do sport, math or any other subject but genius at interacting and managing people. Just like fish and monkey. Fish may cannot climb trees even an inch but genius at swimming. Monkey is opposite.
    2
  36617. Friends?
    2
  36618. I prefer Courant John for calculus and Axler for linear algebra.
    2
  36619. These dude doesnt blink WTF
    2
  36620. Ask an engineer if it took him a year to understand a concept, I am being dramatic here lol but you understand me, the workload may be greater, but in my opinion it is more difficult to do a few complicated things than several relatively easy ones, way harder lol.
    2
  36621. Video on how to prepare for specific exam I am giving ipmat exam how can I do my brdt
    2
  36622. I just want to say that you can be 'obsessed' with maths, and still be ABSOLUITLEY SHITE at it! xD I failed Calc 3 and LADQ TWICE (1 away from being banned for maths from college). I hated what I learned I didn't understand it, BUUUUUT. I do love channels like mathloger, 3Blue1Brown, Numberphile, Tibees, and more.
    2
  36623. Yes indeed, Rotman is good. I added a few more to the list, I may update it later.
    2
  36624. I have a exams coming up and i am studying the applied calculus. No wonder why my grades are bad(average).
    2
  36625. What is your advice concerning standardised exams for jobs? Fair? Unfair? More time should be given?
    2
  36626. This is amazing!
    2
  36627. "Don't dwell on it" --- Was I listening to a talk on broken relationships? :p
    2
  36628. 14 days ago
    2
  36629. Very good book
    2
  36630. Thanks.
    2
  36631. Very helpful video.
    2
  36632. PL/I pronounced pi el one. I is a rome digit one
    2
  36633. This is the Math version of Sam Sulek's car talk
    2
  36634. Really what i looking for
    2
  36635. Thank god i don't have that we had one online mcq math exam (you have to pass this "scheinklausur" to get to the final) and the finals were real life but we took measures and what not Thats in germany btw
    2
  36636. Intresting to see how u got into trading , and what are ur thoughts on investing
    2
  36637. Great thanks
    2
  36638. Make a course about linear algebra!
    2
  36639. Liked the video. This subject of finding "best" path when learning math interests me. However, the sheer number of books is a bit overwhelming. I think actually choosing exact books and lining an exact path, as a suggestion, would even be more enlightening or practical for most folks.
    2
  36640. I thought it was called the rectangular hyperbola because it’s the equation that makes a rectangle of area 1 (y*x=1 ) I don’t know idea if that’s right but it makes sense and that’s what came to mind lol
    2
  36641. Is that Jeff Bezos with hair lol
    2
  36642. T^T you just saved my whole life tysm!!!
    2
  36643. The textbook scam should be investigated by John Stossel.
    2
  36644. why does he look like he invented maths
    2
  36645. Thanks!
    2
  36646. Although you are not a physician i recommended to you to make a video about supplementation for boosting brain like fish oils , curcumine , b complex , glutamine ...
    2
  36647. Thanks for your help! I'm from India.
    2
  36648. This is awesome!!
    2
  36649. Oh man.
    2
  36650. Hey Math Sorcerer! Can you make videos or playlists on DISCRETE MATHEMATICS FOR CS? Like Theory of CS? That would be great
    2
  36651.  @TheMathSorcerer  Ok I am taking the course right now and am learning induction. Can you please cover the main topics with some examples so I can use them as a guide? I want to get familiar with the proofs and CS concepts. Videos doesn't have to be too long. Thank you for your help
    2
  36652. Nice video.
    2
  36653. awesome.
    2
  36654. I’ve had a hectic week keeping up with some of my courses and then my mother gets a call for her kidney transplant the day before one of my exams! Thankfully I was able to reschedule, but I’m spending the night with her at the hospital 2hrs away from our home and trying to push myself to get some assignments done while there’s some downtime. You’re right; planning is still important but sometimes things don’t go the way you expect, stuff happens and you just have adapt and do what you have to do. It takes more effort for some and less for others depending on discipline but it’s as simple as the line you’ve quoted. Just get started. I’ve found that just doing even a few problems is enough to get me in the flow and start churning through!
    2
  36655. I used to solve this in middle school in my country, in Africa.
    2
  36656. I just realise that the math sorcerer is similar to Jeff Bezos, anyway thank you for the advice, its always good to hear things like this
    2
  36657. Bwaaaahahahahahahaa That's hilarious!!
    2
  36658. 12:00 the secret to be mathematicaly mature
    2
  36659. Hi, where do you get the used books from? any place you recommend?
    2
  36660. HEY! We, as a collective, WOULD LOVE to know your thoughts on the text: `Street-Fighting Mathematics` Thank you Prof
    2
  36661. ❤️
    2
  36662. But is meaningful. What is the meaning of life?
    2
  36663. If that test was covering material from the start of the book, they probably quit real analysis after that test :(
    2
  36664. I really loved th enthausiastic review of the book!
    2
  36665. Thank you
    2
  36666. This dude is genius. I can estimate that his IQ is about 160
    2
  36667. That reminds me I have to study linear after vector calc. I watch these vids to know what I'll deal with.
    2
  36668. how do you get the S=23.2 pounds
    2
  36669. Could you please give advice for how to deal with statements in math books like, for example: "let's use squares to compute variance… for… convenience". Being a software engineer, I find nothing convenient about squares and roots, at least from a CPU standpoint. I felt dumb, I felt stupid, it took me a couple of years to dig around multiple books, articles, courses, I got myself familiar with the philosophy of computer science, and with the history of western philosophy in general, just to understand how do I know what is easy/trivial/obvious/convenient and how do I know whether it's me being stupid or the author being bad at an explanation. For example, statements like "it's convenient to use squares to compute variance, period" are very unobvious, even if a notion of "moments" in stats is mentioned before (and in 99% it's not). Moreover, it appears to be totally valid to use abs instead of squares to get a variance if one does not care about impacts of outliers. And for statistical significance or even clinical significance, it's the user who defines the threshold. It's told that by convention the threshold is 95%, and that is just blindly accepted by people, but it's not carved in stone, there are no printed messages on atoms saying "you must use 95%, you must use squares, or the universe will stop working", it's just made-up by people. Of course, some people believe pi is =3.0 or even =4.0, but there's a way to be sure this is not true. But how to be in a situation when there's no such a way, and things are not clear, and everyone around blindly uses a formula just because someone wrote in a book that it's the right way?
    2
  36670. Cool video. How would this book be for a guy (me, obviously) who is self studying mathematics (for fun) and knows multivariable calculus, undergraduate real analysis and proof based linear algebra [Axler, Friedberg/Insel/Spence] but has no previous knowledge about number theory and undergraduate abstract algebra? I know some basic facts about GCDs, congruence classes, prime numbers (things that you encounter in a discrete math or an introduction to proofs course) but nothing more. Should I keep a basic book like Fraleigh or Herstein along with this one? I want to understand tensor analysis, exterior algebra, manifolds, that kind of stuff eventually.
    2
  36671.  @TheMathSorcerer  The basics actually... I don't know whether that makes sense because our lecturer still didn't give us the course content :'(
    2
  36672.  @TheMathSorcerer  Hi.. So I still didn't get the course content. So far we were taught what two variable functions are, Neighbourhoods, two variable function limits. I went through some past papers and found these keywords "double limit, "repeated limits", "Schwarz's theorem", "saddle point", "lagrange's method", "transformation" and "changing the order of the integration. :)
    2
  36673. I had that book for engineering
    2
  36674. I have never gave up on math, math has gave up on me. 😂😂😂
    2
  36675. Your amazing!!!
    2
  36676. Where do you teach?
    2
  36677. 🥰🥰🥰
    2
  36678. Math Sorcerer, do you have or have you seen the classic book "A Course of Modern Analysis" by Whittaker and Watson?
    2
  36679. your right im glad this video found me.
    2
  36680. I think you can save a lot of money if you but this book.
    2
  36681. i am grateful for having seen this video. thank you so much :)
    2
  36682. Soooo how much are all these books gonna cost?
    2
  36683. I think Math people are alone but not lonely, philosophy of two words are different
    2
  36684. I was 24 when I started. It's never too late.
    2
  36685. This principle can be generalized for other aspects of life so well
    2
  36686. Dan Velleman Is the author of how to prove it not Polya, I think not sure
    2
  36687. studied math now since summer 20', The only youtuber who can seem to help on really spesific questions is this guy! And I dig him for it:D
    2
  36688. Even the mosquitos experienced asmr.
    2
  36689. the most important thing in the history of modern computing. he has singlehandedly saved us from a corporate hellscape.
    2
  36690. I've been working through the Tao books, how do you feel those rank with these? I have Baby Rudin as a reference text for the semester.
    2
  36691. Lol. That book of math you are supposed to know before graduate school is a hoot. The Riemann Mapping Theorem?? As an undergrad? Don’t be ridiculous. That said, it’s a really cool bit of math.
    2
  36692. This book is in Dover paperback, 3rd edition, thanks MS.
    2
  36693. This helped me a lot
    2
  36694. From where do you buy your books?
    2
  36695.  @TheMathSorcerer  Thx
    2
  36696. Nah this is business majors
    2
  36697. Yes, there are few good examples out there!!!!! Thank you so much for the clear explanation.
    2
  36698. Glad to see your channel explode man. Keep it up!
    2
  36699. Calc 2 was my favorite Calc class. I had a hell of a lot of fun with it
    2
  36700.  @TheMathSorcerer  yup bro
    2
  36701. Perfect and timely, I needed this one.
    2
  36702. You're going to be traveling. Your bound to be near water at some point, so you'll need the surfing book then. 😊😊
    2
  36703. Badass content dude, I always enjoyed math in high school but wound up specializing in literature/philosophy. With this more coherent roadmap, however, I might try and take a crack at some of this! Cheers
    2
  36704. Math Sorcerer this guy is you, but a Woodworker. At least the sound of his voice and his way of speaking. It’s kind of uncanny in this video! https://youtu.be/q3m2SBE2hgw
    2
  36705. Maybe two minds (including the bird brain on your shoulders) are better than one😂
    2
  36706.  @TheMathSorcerer  ill be sure to use your link I'll get it tomorrow. Thank you
    2
  36707. My instructor at the start of the semester let our class vote on which book we would use for the course we were doing. I found this an interesting approach as other classes or colleges in general usually have a pre chosen book
    2
  36708. Yes yes yes. Just started basic calculus rerun.. It's funny how You had to explain nirvana for future generations :D History can be said in many ways as I've discovered from documentary about metal that led zeppelin is "an early metal band" ;D For me Isaac Newton looks like Robert Plant with those long poodel-like hair. Regards
    2
  36709. Make video on jee main and advance
    2
  36710. It must be parenthesis not an absolute value
    2
  36711. This gave me a sudden boost of confidence!
    2
  36712. I’m in the sixth grade and I know calculus!
    2
  36713. looks expensive
    2
  36714. the math professors that ONLY have lectures and tests at 8am are eviiiil. Why would you do that to us especially on a monday
    2
  36715. I will definitely use your channel when I start doing upper bachelor/ graduate level math! Also love the name, wizards are cool.
    2
  36716. Great video. Thanks for the sharing. A book for self-study I've found very, very useful is "Discovering Group Theory: A Transition to Advanced Mathematics" by Barnard.
    2
  36717. ❤️👏🏼💯🗡️💙⚡️💜💫
    2
  36718. 🤣 this is so funny
    2
  36719. Coffee, I drink tea and cocoa, and little milk but mainly soft drinks, but I also love alcohol but not so sure what you mean. Thank you. Kiss
    2
  36720. Use time management for blinking
    2
  36721. Lmao I have a little sister and I felt 102839% identified
    2
  36722. hm.. leibniz must be annoying..
    2
  36723. This assumes that time and zeal are available and unlimited!
    2
  36724. Coool! I forgot this rule!
    2
  36725. 😂😂😂
    2
  36726. ❤❤❤❤
    2
  36727. ⭐⭐⭐⭐ ⭐
    2
  36728. First!!!!
    2
  36729. Sir, do you think that I can go for a master's in math if I have a bachelor in statistics? and what fields of math I need to be familiar with?
    2
  36730. This really helps, thank you sir!
    2
  36731. I don’t even know what group homomorphism is, let alone prove them. 😭
    2
  36732. Beautiful!
    2
  36733. Is this achievable in 15 years if i spend 10 hours a day studying
    2
  36734. Are you going to write your own math book? I would buy it.
    2
  36735. Hello, the Math Sorcerer ! I've been searching amongst the books 📚 you've advised us to read, and I've have found none about the History of Mathematics.... Could you give us one, please? THANKS! 👌
    2
  36736. Jeff Bezos?
    2
  36737. AWESOME
    2
  36738. I actually have a mixed opinion of Elon Musk. I think he has a lot of fascinating things to say and I think he's brilliant. But I haven't decided if he's going to affect the world for good or bad. Musk said humans had a chance to make it to the stars if World War 3 didn't' come first. He also said Artificial intelligent was a risk for humanity. He said whoever mastered AI would be the next the superpower. I think Bill Gates is absolutely brilliant. He actually said humanity was at risk for pandemics before Covid. I read somewhere Gates would ask his dates what their math score were. Kind of funny.
    2
  36739. Haha that masters was my 1st year as undergraduate
    2
  36740. Martin Luther King is my role model. Past Nobel prize laureates in physics are also exceptional role models.
    2
  36741. You're amazing 😉! Thanks.
    2
  36742. I was a bit of an astronomy buff when I was younger
    2
  36743. Lagrange's advice: "Allez en avant, et foi vous viendra" - go on but return to strengthen your powers, work backwards abd forwards" (from J.W. Meller 4th ed Higher mathematics frio students of chemistry and physics page 127 - a mathematics book before relativity and quantum mechanics.
    2
  36744. Happy New Year !!!
    2
  36745. amazing you explained it so well
    2
  36746. no jokes, this video was well needed. thank you.
    2
  36747. oh. my. god. great. job. Also already very popular... I'm happy for you, well deserved!
    2
  36748. Who ever converses among old books will be hard to please among the new!
    2
  36749. I think it has a lot to do with your support system as well. if you can get kids interested in learning when they're super young they have a lot more advantage over the people who are getting into it in school. one example is my nephew. At three years old I started teaching him the concept of spatial dimensions and what they mean. he was able to explain perfectly the concept of 1,2,and 3 dimensions and give applications of the concepts for fun in a few days.
    2
  36750. Maaaaan, your content is amazing! Greets from Serbia!!!
    2
  36751. thank you newton very cool
    2
  36752. awesome video
    2
  36753. You have good communication skills #yourfriendmathematics
    2
  36754. so true
    2
  36755. love u nearly as much as my mommy
    2
  36756. Following is my list of (engineering minded) Analysis/Advanced Calculus books : 1- Introduction to Calculus and Analysis V1&2_COURANT 2- Advanced Calculus_KAPLAN 3- Real Analysis and Foundations_KRANTZ 4- Mathematical Analysis_APOSTOL 5- Problems and Theorems in Analysis I & II _ PÔLYA
    2
  36757. I think workout is necessary but if you are not wanting to workout then just go in nature and explore
    2
  36758. Oye bro @MathSorcererEspañol una preguntota, espero que me puedas responder de verdad te lo agradecería de verdad bro🤧. Mi pregunta, *Cuál de estos dos libros crees que es mejor para aprender teoría de números, An introduction to numer theory by Zuckerman o Elementary Number Theory by Burton? De verdad quiero tener una respuesta de una persona well-versed como tú MathSorcer💗 Me encanta leer libros de matematicas y coleccionarlos pero quiero adquirir el correcto y el que me pueda aportar más, en el sentido de rigorosodad, de ejercicios, DE TODO. Amo la matematica. Estaré cursando mi degree in Mathematics esta proxima senama. Deseame suerte💗💗
    2
  36759. I need it where can I buy it .
    2
  36760. This is amazing 😻😍🤩
    2
  36761. It has! Thanks
    2
  36762. Well done, Merci.
    2
  36763. Teacher, what do you think about Calculus by Apostol?
    2
  36764. interesting, that book was written ater I graduated with BS in Math
    2
  36765. Clearly understandable. Great job!
    2
  36766. feeling much better now, thanks for the motivation!
    2
  36767. youre the wizard alright (*cough*) I mean sorcerer
    2
  36768. thanks！
    2
  36769. I am just looking up videos on laplace transform, step & delta functions only out of curiosity. Too hard. Someday, I will get there, when I have others learned off.
    2
  36770. Bien barato el libro. Tambien es cierto que mucho de lo que hay en el libro se aprende en la escuela. Se me hace raro pensar que haya alguien no sepa ya muchas de las cosas que hay en ese libro
    2
  36771. wow
    2
  36772. great video
    2
  36773. E Z
    2
  36774. Please plane trigonometry and cordinate geometry by sl loney
    2
  36775. Be can beat you up and do wizard type math shit
    2
  36776. Long haired jeff bezos saves the day once again!
    2
  36777. I'm also from India. Ramanujans country of origin
    2
  36778. i think the guy in the cover is some medieval muslim scientist? but they do talk about wizards....
    2
  36779. I've followed your advice and I read the Ian stewart "calculus". Right now I saw this video and I've understood every passage. Great satisfaction. Thanks!
    2
  36780. An absolutely wonderful video.
    2
  36781. Excellent video.
    2
  36782. im in second year and ive never gone through a book, im going to start doing that now
    2
  36783. there is a computer programming language called APL by Kenneth Iverson which defines 0 / 0 as 1. Any idea why ?
    2
  36784. Never cared for C++. The original C is much cleaner, clearer and logical...at least for me. But for doing anything in math, Mathematica is king! But quite a memory hog.
    2
  36785. What book(s) would be great for an undergraduate math major? I know in physics, Griffiths E&M book is gold, but I would love to hear the math equivalent (assuming there is one :0 ) Thank you!
    2
  36786.  @TheMathSorcerer  absolutely
    2
  36787. this might be the first time ive actually yearned to see how the video ends. Super engaging! every math class needs a teacher like this.
    2
  36788. Nice🔥
    2
  36789. Can I go to grad school with two kids?
    2
  36790. I approached with arrogance, only to be humbled by the dates and depths of discoveries in math and science- some by candlelight.
    2
  36791. Can you do one with a multivariable function? lol
    2
  36792. Awesome man, maybe do some statistics after these videos on probability. By the way, I did way better than I expected on my first set of exams in the master in probability and statistics and the tests were really hardcore! Greetings and keep the great content coming.
    2
  36793. One of the questions was: What does it mean for a random variable to have no density?
    2
  36794. He`s masmarizing gaze
    2
  36795. Thanks a ton!
    2
  36796. this is true
    2
  36797. this tips i guess can also work with other subjects.
    2
  36798. It's hilarious but based upon reality.
    2
  36799. I'm going back this year to study Computational Sciences! :D
    2
  36800. Can I ask u something..How do you memorise mathematical axioms,or should I say when you are solving some problem do you already know them or you need to check them in book?
    2
  36801. I’m a junior in high school talking pre calc next semester. I’m so bad at math that I’ve decided to start over with algebra 1. I’m hoping that I will get a good grip on math so that I can get a physics degree after high school…
    2
  36802. I'm not sure what possessed me to come here...
    2
  36803. "You're better than that. Go learn some mathematics." Great video, thank you.
    2
  36804. I admire your dedication my friend
    2
  36805. ❤❤❤❤❤
    2
  36806. In a nutshell, it's the amount of exposer and experience of the subject that make person learn it easier. Now thinking about, english is alway nightmare to me, compare to math which I have an easier time with, it's just that I don't do at lot of english before since it wasn't my first language. If I were to be exposed to more english I think I would better at english.
    2
  36807. Man, your words, this video, come to me in the right time. Thank you.
    2
  36808. The book is probably great if the math sorcerer says but I wanna say one thing. I don't really like how some math books put totally random pictures everywhere (Ex - Concic Sections had a pic of a doctor. Like why?). It takes away the nerdiness of math so to speak. I feel that books with just text pass off a more mathy vibe. Just my opinion tho.
    2
  36809.  @TheMathSorcerer  ye that sounds bad. lol
    2
  36810.  @TheMathSorcerer  Thanks man 🙏🏻
    2
  36811. Interesting video!
    2
  36812. I need that horse head statue! It would look great next to my springer book section :)
    2
  36813. 👏🏻👏🏻
    2
  36814. life saver
    2
  36815. I'm looking at your reccomended book lists, Do you have any recs on Stochastics ? I'm a 1st year Math graduate student trying to find my interests.
    2
  36816. I'm jealous! I want a bookshelf like that
    2
  36817. When I saw a video about what math do physics majors learn by Andrew Dotson I was really confused. In USA you learn differential equations at the beginning of Calc 3, but in Czech Republic you learn it by the end of 1st semester.
    2
  36818. Math is a lifetime. It requires ruining few things in your life like your laziness to get greater things in your life. Math is about focus and intensity, the right book, pencil rubber and paper all time, a set of complete solved problems at hand, organization all the time and a book on HOW TO MAKE PROOF AND WRITE DOWN MATHEMATICS and DON'T forget the experience of experts and veterans. See how others use their brain and solve problems. This helps improve your grades COMPLETELY.
    2
  36819. The thumbnail is fire!!
    2
  36820. Sociology was and is so wrong for me. Three reasons why I say this: 1. I am somewhat a loner. 2. I am not a fan of society in overcrowded cities. 3. I am a timid adult.
    2
  36821. Not once in the course of getting my BSEE did I have a math class with required attendance. If you didn't show up, you would fail, because you wouldn't cover the material.
    2
  36822. "This is paper!" Me: Woah! Paper! PS) Not making fun, just having a jolly time👌🏻
    2
  36823. my rm is vladimir arnold, I want to study topology rn I need it for my own newborn logic
    2
  36824. Replace my professor please
    2
  36825. I had a old Jewish professor in college, who was just awesome in explaining math. He never used any notes, and it was obvious he himself was really interested in the subject. One thing that I clearly remember that he did (and it seems that all truly great teachers always do) is that he would repeat himself more than once. For example, he would explain a concept, and then, an hour later, he would repeat the explanation under a slightly different angle, and put it in different words. And then, on the next class, he would repeat it again, in a different manner. Than, a few classes later, he might even repeat the same thing again, in yet a different way. Needless to say, I never had a single B in any of his classes - only straight A's.
    2
  36826. ​ @TheMathSorcerer  Also he once told us that correctly writing the Greek letter ξ constitutes half of the Calculus knowledge. I remember, right after I heard that I took great pains to learn to draw that letter perfectly, in hopes that I could short-circuit the learning process by half.
    2
  36827. My brother loves that game just showed him!
    2
  36828. Whether you think you can or you think you cant, you’re probably right. - Henry Ford
    2
  36829. can you do a video about golubs matrix computations!
    2
  36830. The straightforward guide to learn any math subject, awesome. Maybe I have an old-fashioned remark about the tip of many sources (books) as posible, In my opinion this not always apply, for example in classical geometry the only source you needed is The Elements by Euclid, and I'm not alone in this view, in 1879 the mathematician Charles Dodgson wrote a complete book ( Euclid and his Modern Rivals ) in defense of Euclid's Elements as the best textbook for geometry. Of course in modern times if you want some advance stuff one should study the Foundation of Geometry by Hilbert instead of Euclid.
    2
  36831. "They are pretty easy to get" I was looking for them used for a reasonable price but couldn't find any. If anything they are sold seperately and range for about 10 up to 50 bucks each, whereas the 10 euro ones are usually ex-library. At least for Germany, Europe
    2
  36832. Thank you so much..I'm a homeschool teacher with no formal education and I love math now..but struggle myself so I work hard to understand concepts to teach.These are wise words which I can pass onto the children.
    2
  36833. “You are responsible for your own success “ true in maths , true in life 🙏🏾
    2
  36834. why is bro saying TIIImmmmmEEEs like that
    2
  36835. this guy's a G
    2
  36836. Hungerford's graduate text is my personal favorite!
    2
  36837.  @TheMathSorcerer  And that's coming from a self-teacher! I remember the first book I tried using used reverse Polish notation...ugh lol
    2
  36838. I don't believe in god, but if if I did I would think this guy is a modern version of a SAINT
    2
  36839. 3:57 Why aren't the cos and sine squared?
    2
  36840. my professor atm moment replaced one that had some kind of emergency and dumped us on her.... She is like an asian tiger mom... That is she has a thick chinese accent and takes no shit off of no one much like cheap toilet paper. Oh, and there's no late work... it's all 100% or zero. (webwork sucks) ^^^ which is a shame because my original teacher sounded chill like you. and it's a lot you said too. 15% home work 20% quizzes, 30% midterm 35% finals
    2
  36841. I used to boost account for money, 600lp challenger ( still active); not boosting anymore. If only my jungle was as good as my academic capability.
    2
  36842. Yes, I agree with this video
    2
  36843. Thank you, I needed that
    2
  36844. Glad to see this! I've been lifting weights and running for years. It helps me focus. I took ADHD medicine for a while, but I learned that working out helped almost as much but it is healthier for my heart. Best wishes. Also, if you haven't read it, you should check out the John Von Neumann biography, The Man From the Future.
    2
  36845. Great point
    2
  36846. Hope I watch this 2 months ago while changing my stream from maths to bio
    2
  36847. I had a really bad first year at uni, thanks for boosting my motivation, this year is gonna be different.
    2
  36848. It depends on the videos, and it depends on the books. Sometimes a video can explain something that 10 books can't, and sometimes a single book can explain something that a book fails to do. I had to pick up a math degree just to get my main degree, and I still don't understand the upper level maths. I was never taught matrices or probability, because those sections were dropped from the curriculum for time, so I barely squeaked through many classes, from lack of teaching. And many books are not written for ease of understanding, but in "math-speak", --by mathematicians for mathematicians.
    2
  36849. Amazing video, F*king Art!!!!!!!!
    2
  36850.  @TheMathSorcerer  what is the general solution equation? Thanks btw
    2
  36851. Yes, he didn't blink.
    2
  36852. i wanna send this to my evil professor so bad lol
    2
  36853. Merry Christmas Math Sorcerer ❤️ Thanks for a great year of inspiring and motivating content! Wishing you great health in the new year.
    2
  36854. I just thought it was funny that the first example you gave to look for a role model was "if you are Brazilian look up famous brazilian mathematicians." I found it funny because, well I am Brazilian haha. In case you are curious about it, definitely the most famous brazilian mathematician nowadays is Artur Ávila. Mostly because he is probably the most successful brazilian mathematician in the academic math world (he was awarded a Fields medal in 2018 I think). However I have heard before that IMPA (Institute of Pure and Applied Mathematics), have somewhat a good international reputation, but I don't really know how true that is. Anyways that was just a fun fact because I thought was quite a funny coincidence you mentioned Brazil. Thank you for the video I find them quite helpful.
    2
  36855. I think at least it would guarantee you understood how to solve the problems
    2
  36856. Is it just me or does he look like Jeff Bezos who never cut is hair
    2
  36857. Awesome!
    2
  36858. I am a data scientist but I hate data science and programming. I spent half of my work time on studying research level functional analysis and riemann geometry, totally unrelated to my job. I am probably the worst preforming employee of my company. I hope I can publish papers one day. Even if I fail to publish, I still have a job so the consequence of failure is minimal. The only consequence is that I never tried to improve my data science skills. Having been a data scientist for 6 years but still at the most junior level. I feel my situation is quite unique. So many mathematicians want to switch to data science but I am doing the opposite. Any suggestions for me or people in a similar situation like me?
    2
  36859. He's Jeff Bezos with hair
    2
  36860. Introduction to Linear Algebra by Gilbert Strang is also really good; I'm using it right now!
    2
  36861. brilliant and lucid explanation. thanks a lot!
    2
  36862. Seriously man. After a long day working overtime and trying to get at least two hours of studytime I turn again to your channel, since I just like how you don't just present formulas or do the millionth video about the $1M problems, but you also actually try to motivate people to stay on their road towards their academic goals however rocky said road may be. In short: Thank you for the motivating content. Really helps me a lot.
    2
  36863. No graphs for you!
    2
  36864. Practice, Practice, Practice … is the key to success in any skilled field
    2
  36865. I want to post this especially because I aim to dispel the "math person" (non growth mentality) myth. Ever since in elementary school I was good at math. I was able to pick up on concepts faster than other kids, although I was slow at arithmetic. When I went to high school I started to see myself struggle though. Although I did well in my proof based geometry class, I passed my algebra 2 up to precalc courses with a C. At this point my identity as a "math person" had faded and I accepted my fate as a rather poor student in math. But I knew I had a love for maths and the sciences still. By the end of precalc, the situation in the class was that C- or below students, if they wanted to pursue calculus would need to retake precalc. C+ or higher could continue. Those with a C had to talk to the professor about what they wanted to do. So that's what I did, and I was given a choice. I swallowed my pride right there and then, didn't want to let that stop me from pursuing what I loved, and decided to take precalc again. Doing so helped a lot. I was able to really delve into the material, flesh out some of the nuances and misunderstandings I had. This was when I started seriously thinking about mathematics. Through all this, I regained my confidence as well. I also developed a good work ethic for studying mathematics. From that point on, I obtained an A or A- in all my future math courses in high school. I realized something important. I think too much focus is placed in whether one has innate ability or what not. A growth mindset is much better and I had to burn a bit to adopt such a mindset. Currently I'm pursuing a PhD in chemical engineering and to this day I find it incredibly fascinating how the language of maths can accurately capture the subtle physics of the universe. I think it was the rigor and universality of mathematics that kept me in engineering (I did not appreciate the overwhelming emperical table seeking aspect of engineering). Because of that, I took some pure math courses like Modern Geometry. In that class, the concept of the metric and learning how to determine the geodesic of some manifold really gave me an incredible eureka moment. Particularly because I was taking Mechanics physics course at the time and I saw the familiarity of that with Lagrangian mechanics.
    2
  36866. I am considering to buy the Algebra 1 book
    2
  36867. awesome plethora of books.....hey buddy...btw....I just passed the clep college algebra exam....thx a mil!
    2
  36868. Thank you very much
    2
  36869. Can you do one on ordinals and convergence. Some random theorem that uses both.
    2
  36870. ngl the Goodenough author caused me to click, such a crazy name.
    2
  36871. Thank you!!
    2
  36872. Is there a solution manual for this book ?
    2
  36873. I don't know if this is true but it is very encouraging.
    2
  36874. These are the real pro tips... Believe me!
    2
  36875. NIGHTMARE
    2
  36876. I already have 20hrs a week of this shit, I don't know why I voluntarily watch 4 more minutes
    2
  36877.  @TheMathSorcerer  Well I'm glad it brought at least one of us joy
    2
  36878. If we could upload knowledge into our brains, like in the movie "The Matrix", what would it feel like for a non-mathematical person to be able to understand calculus all of a sudden?
    2
  36879. Yes!
    2
  36880. What is that inverted "J" in the first line? That J={X, null, {a}, {a,b}, etc>} what is that "J"?
    2
  36881. Woah looks like it's Newton's descendant here 😯
    2
  36882. I enjoyed your Sonic Youth outro
    2
  36883. I own that one! Got it on amazon. It's very helpful.
    2
  36884. Nice ❤️❤️
    2
  36885. I really appreciate !
    2
  36886. These were carefully studied in the USSR.
    2
  36887.  @TheMathSorcerer  but why? I thought the books that I bought are incomplete.
    2
  36888. If I’m at the point where speed is my sole concern I’m doing something right
    2
  36889. Thanks a lot.. 😊
    2
  36890. No Probability and Stochastics
    2
  36891. Great. Love ti 84. Ti 89 rules
    2
  36892. go to basic and then pre-algebra..and then you can now proceed to higher math..learn first all the basic math and then again all the topic in pre-algebra and then proceed..
    2
  36893. The correct answer is a vacation
    2
  36894. I got into maths from philosophy.
    2
  36895. Nice video!This is good to review when I have so much mathematics in my head and keep forgetting stuff! (and Merry Christmas!)
    2
  36896. Thank you!!
    2
  36897. I needed this my guy 👍💪🤟🤙❤️ much love.......bombed my first calc 2 exam but I need to keep grinding until I succeed in this.
    2
  36898. Hey man, what do you think about doing lecture notes reviews? Like reviews of unpublished pdfs on some profs websites which gain a cult following. Im not sure if you got that dynamic in math but in econ we do! Do you think its content worth reviewing? If so i have stuff to suggest!
    2
  36899.  @TheMathSorcerer  Martin osburne's math econ notes are utilized by most economics grad school math camps. Nothing complex but its good. Check it out!
    2
  36900. Dropped law practice and went electrical engineer. At age 40. Worked. But was not easy
    2
  36901. How to solve without using L'hopital's rule?
    2
  36902. Great video professor.
    2
  36903. ❤️❤️❤️ smart bro
    2
  36904. First
    2
  36905. shrink the video on mobile and look at his shirt
    2
  36906. I have all these books in pdf.
    2
  36907. People are too proud of what is their personal interest. Some people happen to to be good at and interesting in coding, social sciences, life sciences, art - and I am interest on some subfield of differential geoemtry. That does not make anyone more or less elite.
    2
  36908. Thanks a lot, professor 😊
    2
  36909. Holy sh*t I LOVE comic books, I have to buy this book IMMEDIATELY
    2
  36910. What subject does this fall under?
    2
  36911. Thank you!!!!!!! You’re a life saver
    2
  36912. Very useful video, thank you
    2
  36913. As a student I memorized the crap out of all the formulas in every possible field of my interest so I don't even have to pick up any books anymore it just like comes out like poetry I've become like pretty much a book myself a book of everything
    2
  36914. Thanks !
    2
  36915. The Math Sorcerer Your student sounds like a CGI artist who models 3D vehicles, creates VFX like crashes, demolitions, explosions, fires, etc all in 3D softwares. Car crashes are very challenging to do in 3D animation. It takes a lots of maths and scripts to create physics simulations like crashes.
    2
  36916. thanks so much😊
    2
  36917. Bro looking like a fromsoft final dlc boss
    2
  36918. thank you for the tips
    2
  36919. Thank you.
    2
  36920. I tell my students to learn how to "turn the crank," by which I mean learn the algorithms to solve the problems. Understanding comes later. Sometimes years later. This is not a bad thing.
    2
  36921. Bro go to sun touch some grass please you are good
    2
  36922. Looking up the Discrete Mathematics with Applications by Susanna Epp shown in the video and noticed that there is actually different editions, is there any difference between these editions or do they all contain the same general concepts?
    2
  36923.  @TheMathSorcerer  Ahh yes, the cheaper the better, thank you very much Math Sorcerer! 🧙‍♂️ 😊
    2
  36924. Im in calculus 3 and my teacher only allows us to use scientific calculators during tests which is quite annoying because every other class/teacher I've had have allowed us to use ti83/84s
    2
  36925. Just discovered your channel. Thank you. I like physics but have limited basic knowledge what would be the one book you would recomend? Thank you. P.s : El que madruda Dios lo ayuda, get up early get time for everything. My mom is a fan of that saying. Greetings from Puerto Rico
    2
  36926. Excellent advice, except, imho, for the timer. Sometimes I get tired after only 15 min, sometimes I still crunch variables after 4 hours.
    2
  36927. this is the message that i needed it! thank you so much!
    2
  36928. This books ⭐
    2
  36929. Love from India sir.,♥️🥰
    2
  36930. Not saying this to try to inspire people, but I legit struggled with math my whole life. I almost didn’t graduate high school because I couldn’t pass my required math class, I had to take a math for dummies kind of class and I barely passed that my senior year. In college I took a stats class and I took a little bit of time to understand the math and tell myself “if you don’t do this you don’t transfer” and I legit did it. I fucking did it and it’s such a great feeling. You really should set a strict goal like I did.
    2
  36931. I am studying law now in my late twenties, but I was studying math in my early twenties because I loved it in school. In my experience I felt LIBERATION and everything finally clicked together when I studied more rigorous books on the subjects - Baby Rudin for calculus, Linear Algebra Done Right by Sheldon Axler. Finite Dimensional Vector Spaces by Halmos is good too, but Axler is better. Lang’s Algebra. Algebra: Chapter 0 by Aluffi is awesome if you can manage through the first chapter that teaches you basic categories intuitions. All the fluff “transitional” books turned out to be a frustrating waste of time in retrospective. But rigorous books ARE harder and you are more likely to give up... however they teach you the best skill math can teach you. My two cents.
    2
  36932. Noble vs Nobel
    2
  36933. First
    2
  36934. I would suggest to stop turning on that news nonsense. You’ll be much happier.
    2
  36935. I want to see that mice behind you. it's looking very pretty.
    2
  36936. Please give some advice on Olympiad maths
    2
  36937. Also if you don't mind can you share some info about your personal/social life and your was it a hindrance in your maths
    2
  36938. I don't know who this Karen is but yes! I had a teacher in elementary school who was exactly like her 😂....
    2
  36939. I am a professional mathematician. I learn only by self studying. Being utterly confused is a natural way of life. You either feel stupid or you are stupid. If you feel you understand everything - stop using drugs.
    2
  36940. I'm taking an online math class that is entirely self-paced. Is that self-study? Probably not, but it does allow me to take the time to understand why things are happening. When the lecturer makes an assertion, I can pause it and start working through the problem. When I start it up again, I haven't missed anything! (Which was a big problem for me all through school--when I'm on the cusp of understanding something, I want to work it out right then; otherwise, I'll lose that brief magic, and it will be very hard to get back there.) I love it.
    2
  36941. The Math Sorcerer Canadian engineering student here, in my program it’s 5 courses per sem year 1, 6 courses year 2, 6 or 7 courses per sem year 3 and 4.
    2
  36942. I'm doing 7 this semester, but that includes a lot of 1 & 2 credit courses. My average credit load is 16 per semester.
    2
  36943. Learning math (like many others disciplines) requires to have the right mental age*. This is exactly what (a part) of the famous Wechsler IQ test set (and many other test set) try to assess: the level of mental maturity of the observed person. Please note that I said "right" mental age, not a "more adult" or "more mature" one. You need to be mature enough to understand math *and young enough to get surprised by it. A poet would probably say that you have to be a old man with the soul of a child. Beside this, keep in mind that every person learn different thing at their best at different ages. You could be fantastic at tennis at 14 and fantastic at math at 20 yo. There is no contradiction in that.
    2
  36944.  @TheMathSorcerer  Please can you answer me questions Prove lim(x)=0 if and only if lim(|x|)=0
    2
  36945. Great Video! Thanks!
    2
  36946. I want to be able to not blink like you 😂
    2
  36947. and you must have a book in your shelf called "You can farm"
    2
  36948. these speed clones getting out of hand 💀
    2
  36949. So on point! Thank you.
    2
  36950. I have a used copy of this book in yellow cover, and I had no idea about how good or important this one is. And I was going to throw it away too because there's an ebook version of it available on the net. But nah, I'm going to keep this one, especially for the neat font and typesetting used in it.
    2
  36951. Thanx for the video’s I am in Namibia struggling with real analysis 😂. These video’s give the some motivation to keep struggling and succeed.
    2
  36952. Ιτ was so very hit parade of paradisian math
    2
  36953. first
    2
  36954. You’re a saint ❤
    2
  36955. 💙💙💔❤❤💋💋😆😓😓😏😢😅💓😘🌹🌹🌹🌷🌷💙😢
    2
  36956. That bird scared the crap out of me.
    2
  36957. My calc teacher made us do limit proofs in high school as an intro to what calc would be like in college... Needless to say the class did not like that very much, and now in college I'm finding out that the one calc class I need for my major doesn't require proofs!
    2
  36958. Yes! Finally a second edition. I have been waiting for it for so long.
    2
  36959. Speeeeeeed
    2
  36960. I do not know how your channel does not have more subscriptions. I find your videos very useful, especially the one for choosing the right books to start, because that's always been a crucial but tricky step to start on a subject.
    2
  36961. Sir can squeeze theorem be applied here?
    2
  36962.  @TheMathSorcerer  thank you!
    2
  36963. Correct👌👍❤️
    2
  36964. Good advice and well said.
    2
  36965. +
    2
  36966. Thank you so much for making this video. I hear people say this all the time and of course it's complete BS. Thank you for debunking it!
    2
  36967. Ladies and Gents the "Gandalf of Mathematics" has arrived!
    2
  36968. The Math Sorcerer thank you man you gave me a good advice. 🤝💛
    2
  36969. The Math Sorcerer excuse me could you tell me which edition is the best?
    2
  36970. It took me failing College Algebra twice until I believed in myself and got a B the third time. I just passed Survey of Calculus with a B this semester and finished the math requirements for my degree. I'm not exceptional at math by any means but passing those classes gave me a big boost in my academic confidence.
    2
  36971. I really liked this video. The dream. Thanks.
    2
  36972. Did people in change of looking into covid situation and problems cause in 2020-2022 read this book ?
    2
  36973. Sir, I just completed my Alevels..I took maths and further maths in it and had an A+ in both of them I know precalculas and basic calculas like different methods of integration and differentiation of trig functions, exponents, logs, etc Differential equation of 1st and second order, Rates of change, Complex no, polar coordinates, Intrinsic coordinates. Now I am on a gap year..I have whole one year free.Next year, I'll join university for double majors in physics and maths. Meanwhile, I want to learn the calculas 1, 2, 3 actually the calculas which is taught in first and second year in the university to maths major. What books do you recommend for self studying calculas 1, 2, 3 from the scratch, I mean from the basics ?
    2
  36974. Nice video. Can you please show in future video or comment reply how you derive the slant asymptote equations from the general formula? You should also check out Dr. Peyam's video on hyperbolic coordinates.
    2
  36975. this guy is a mf sorcerer and a conjurer. In the math streets he goes by: "the conjugate conjurer". Summoning value into your life. Cheers! and thank you.
    2
  36976. Thanks<3
    2
  36977. You Can Farm
    2
  36978. Wtf is thubnail bruh 😂😮
    2
  36979.  @carultch  I think that's the reason.
    2
  36980. Electrodynamics, modern physics, and programming! I just finished my math minor last semester. PDE’s was the hardest math class I have ever taken.
    2
  36981. Thanks a lot for making me realize how much important is TIME.
    2
  36982. Hearing lecture from video and going to class tends to be passive learning (we're hearing somebody doin it but not us doin it), But it's different when were self study, our brain actively trying to connect things that we read. Doing problem is an active learning too, but self study reading laids the foundation for new materials. Active learning is more memorable for our brain, so it tends to stick in the memory longer.
    2
  36983. Absolute savior thanks bro
    2
  36984. Love those whiffs 😊
    2
  36985. I have already learned this. It's in my syllabus, most of the stuff from the book.
    2
  36986. Collectively, this is great advice.
    2
  36987. 70.000 thousand views of a video in which a guy show tables of contents of (old!) math books. I think there is still hope for humanity...
    2
  36988. bro have u thought about brushing your hair b4?
    2
  36989. Thank you♥️
    2
  36990. ❤❤
    2
  36991. Gracias por tus vídeos, los amo. I love Math.
    2
  36992.  @TheMathSorcerer  Colombia
    2
  36993. How wonderful, rainy candle lit maths 😍
    2
  36994. I think it's more a matter of interest. If you're being showed material that doesn't interest you, you won't think about the ideas and obviously won't learn them.
    2
  36995. Final exam in abstract algebra. I got this!
    2
  36996. Great video! Thanks.
    2
  36997. Thanks man
    2
  36998. There's a short track on Tool's Ænima album named Cesaro Summability
    2
  36999. This individual is amazing,in the right direction
    2
  37000. Five views and 8 likes. Seems about right.
    2
  37001.  @TheMathSorcerer  People who actually died were said to have left.
    2
  37002.  @thomasrad6296  the what would you call the people who actually left?
    2
  37003.  @TheMathSorcerer  IKR, I'd be so confused 😅 "Oh, he left" Me: "where to? I told that MF to wait for me" "oh no, you misunderstand... I mean he left" Me: "what did I say?" "You said he left and you had told him to stay" Me: "exactly... now where is he?" "Oh.. see that's what I'm saying, he left permanently" Me: "as in.. to another city? Or state? country?" "Heavens" Me: 👀
    2
  37004. I appreciate it and thank you mahn,,God bless💯❤️
    2
  37005. you are amazing, truly. thanks i am going to follow your advice, not only for math but also for coding.
    2
  37006. It's cuz this dude is a sorcerer.
    2
  37007. I bought this book. 4th revised edition
    2
  37008.  @TheMathSorcerer  Thanks!
    2
  37009. The unintentional asmr tho
    2
  37010. Now I know for transportation the shortest distance between two points on the globe is the great circle route. Very interesting book, many thanks.
    2
  37011. just to annoy the gallery with Microsoft based languages: Since 2002 my fav language is C# in my career I have learnt languages in chrono order: - FORTRAN/COBOL - Excel macro (in the 90s) - Visual BASIC and VBA - C/C++ Turbo Pascal (Borland) JavaScript C# since 2002 and stayed on it since.
    2
  37012. WANT
    2
  37013. This video is very motivating!
    2
  37014. Thank you for your videos sir!
    2
  37015. If you made 1000 examples I will be happy to watch.....
    2
  37016. Damn cool😂
    2
  37017. goddamn wish this dude was my diff professor.
    2
  37018. thank youu,
    2
  37019. great work dude, this was great haha
    2
  37020. That Epp book costs 238 euros on amazon in Germany
    2
  37021.  @TheMathSorcerer  I'll have a look thanks. Even used it costs 157 here.
    2
  37022. This has been incredibly helpful! I have midterms this next week and you have totally saved my grade!
    2
  37023. Where is playlist of all partial Differentiation and homogeneous function :) help please
    2
  37024. What working man has time to practice insanely? When they work all day 7 days a week. Let's listen to the Guess Who, No Time😊
    2
  37025. Baby step is the most functional tip but sometimes we forget about that
    2
  37026. ur the best channel in the world
    2
  37027. It’s a conceptual move, not an algebraic one 🤣
    2
  37028. On the contrary, "just doing it" doesn't contradict having a schedule. A schedule can organize our time and help ensure we meet a quota of things to get done. But if we are inspired to do more at an un-planned time, we can accomplish more. Thanks for the vid!
    2
  37029. Hey. Nice out-tro.
    2
  37030. hey math sorcerer, I’m the guy that’s bought a handful of your udemy classes. Graduated with a bachelors in business spring 2020 and didn’t feel like I learned anything useful, so I transitioned to getting my masters in engineering. took calc 1 in 8-week summer course after not taking any math since 18 years old as a freshman in college. took an accelerated calc 2 & 3 course this semester so I can take differential equations next semester. got my final grade back today and earned a 95%. Im not naturally gifted in math and want to let you know how useful I’ve found your udemy courses and motivational YouTube videos. I’m very thankful for the resources you’ve posted so far, onto differential equations next semester💪🏻 the work you’re putting in is tangibly helping people. Thank for all you do
    2
  37031. Thank you so much 🇧🇷
    2
  37032. One thing that I have learned is that you don't do maths (or anything else) with just your IQ. It also requires creativity, passion, discipline, persistence, etc. So even if the person next to has a higher IQ, you might be stronger in one of those other areas, and end up being the better mathematician. For me personally, I have found that my creativity helps me come up with solutions and make leaps of insight.
    2
  37033. Wow! You have a very inspiring channel that makes me believe I can actually be good at math now. Thank you and subscribed!
    2
  37034. This probabilities of dice problems are always intriguing because while we're solving it creates real picture sense in our minds which makes easier to solve.
    2
  37035. Love you from Pakistan ❤️❤️
    2
  37036. Wow
    2
  37037. Can you do calculus 2 please ????
    2
  37038. bro thank god i'm in year 5 and rn its Thursday and tomorrow our homeworks due lol i needed this thanks
    2
  37039. Great channel I wish one day I will master and learn mathematics
    2
  37040. This was helpful for me. Thanks 😁
    2
  37041.  @frankbrown7043  ChemE I am indeed. Retired. ps, we had the same math curriculum, a decade or so apart. Probably, the only difference being that I was punching computer cards at midnight, begging to be the first one on the compiler in the early morning.
    2
  37042. If you do well for the second exam, I will substitute for both midterms and final gonna be easy so don’t worry you will get A. Hahaha
    2
  37043. Beautiful edition
    2
  37044.  @tauceti8341  Nah, I use a Casio ;).
    2
  37045. this is just any geology professor
    2
  37046. including the hair
    2
  37047. I appreciate these pep talks. You are one of my main mentors helping get me through college right now, thank you.
    2
  37048. Thank you for the amazing explanation!
    2
  37049. I thought Sophie Kouvaleskaya was the most remarkable female mathematician of all time?
    2
  37050. Yes, spending time to study, or on the subject matters, even if just 30 minutes per day, but also having an interest or passion also matters, and when you do, you usually will end up, spending much more than 30 minutes a day, when you start to study/read/watch that algebra-book/material/video.
    2
  37051. This video refers to advanced inner peace practice – the mountaintop meditator. But many individuals have not yet mastered such discipline. The need to teach themselves, step-by-step, to take control of themselves is an acceptance that must come from within each individual. Creative writers and mathematicians both find a flowing of excellent output with a critical state of consciousness that allows what seems to be a direct connection from the producing mind to the recording device, whether it is a pen, a keyboard, a microphone, or a brush. The process of converting oneself from an unorganized, wannabee performer to a boot-camp graduated, long-trek surviving, well-tutored and briefed soldier, or a paragraph-after-paragraph page printer, or a premise-by-premise proof producer, starts with a tentative step or two, then tenaciously treads toward traction and transportation of self to success. The analogies between learning to become a mathematician and learning to become a short story writer or a journalist, or a staff writer or a novelist, ultimately resulting in becoming a published author or mathematician are too striking to be ignored, even if the same individual rarely travels both the math and the fiction roads to publication. The inner peace that comes from successful performance, and that passes all understanding, may reside at the opposite end of the baton that produces perfect products, but a unified performer carries the baton from product to peace and back again, gaining at least satisfaction, if not adulation, for the journey.
    2
  37052. Great video!
    2
  37053. I can testify from personal experience getting my PhD in math that this about the best advice you can get.
    2
  37054. lol love how it starts with "THIS BOOK IS BASED"
    2
  37055. Teachers are one of the most underpaid members in this society. They should be making salary at levels of a lawyer or doctor but it appears this country does NOT VALUE Education enough. Ever wonder why other countries are catching up or some even surpassing the U.S. in STEM?? In Asia teachers are Revered, Hmmm
    2
  37056. @The Math Sorcerer Love your shorts..What about a short video about the impact of doing mathematics to other parts of life? For example when doing a lot a math I realize how fragile our knowledge about the world really is..Relying mostly on heuristics, examples, intuition, etc...I found this aspect of "doing math" really inspiring...
    2
  37057. Thank you, that helped so much
    2
  37058. Thank you brother
    2
  37059. I would add Gilbert Strange for Linear Algebra
    2
  37060. Thanks for your tips
    2
  37061. Sir💯 If i get discrete mathematics and applications by Susanna S.Epp 🔥will i will be able to understand the proofs written in Michael spivak 💓book on calculus 🙂💔
    2
  37062.  @TheMathSorcerer  Oh..👍🙂 . . Thanks sir❣️
    2
  37063. I have problem when solving math problem that's an math error. Everyone knows how to minimalism this math error?
    2
  37064. Also found patterns in the collatz conjecture
    2
  37065. thank u so much
    2
  37066. Probably a bit late, but I love Aluffi's book.
    2
  37067. Thank you sir Can you do a video like that but for geometry and other one for calculus Thank you again 💖
    2
  37068. I think it smells good
    2
  37069. Thank you
    2
  37070. Grinding calculus. A day well spent
    2
  37071. Your videos continu to get better :D Keep it up👊
    2
  37072. Wow
    2
  37073. Merry Toyotathon :)
    2
  37074. I usually read math books in support of my classes. I casually read the book along with my professors narration and do the practise problems. At this point I have a general solution for them and if not I re read the section carefully. Sometimes, especially for concepts that appear often, casually reading is good enough. The problems help with showing you if that is truly the case.
    2
  37075. I became fan of this video.
    2
  37076. you have any videos on fourier series, kind sir? i would like to see your take on it
    2
  37077. Waiting for the PDE book review. Thanks for the great videos!
    2
  37078. Had disk/shell method in calc 1. It was frustratingly simple in hindsight.
    2
  37079. Ramanujan once had a nightmare. He was chased by bloody triple integration signs.
    2
  37080. Sir, you are absolutely correct. I am agree on it.
    2
  37081. Great
    2
  37082. I want to see a video about your new vampire book
    2
  37083. So I'm not the only idiot here who thinks that pursing a Ph.D. post-retirement is a worthy pursuit? Indiana University has a History & Philosophy of Science program that I first heard about in 1985. Yummmmmeh yum yum.
    2
  37084. I never seen before this topics in explain sir awesome👏👏👏👏👏 thank you sir
    2
  37085. Thanks sir
    2
  37086. I have such an outstanding and perfect mentor, whom I've talked about with you before, in the manner of one of my junior high and senior high school classmates!! She's Gretchen Ehlers and she's a math teacher at West Valley Community College in the Bay Area. She is a tremendous mentor and most marvelous Sister-Friend--one of my best!! The nicest thing about MY mentor Gretchen is that she's even asked for MY advice on certain math issues having to do with what kinds of mathematics from South America and Africa she could possibly utilize with her students from minority groups that are underrepresented in higher education. Isn't that GREAT of Gretchen to ask for MY help in this situation, Math Sorcerer???!!! "Gretchen The Great!!!"😃
    2
  37087. Just failed my derivatives course and integral calc is next...I- end me😭
    2
  37088. How that guy went to gym every single day? I am studying maths all time, I don't do anything else, I mean I don't do sports or playing video games but I can't finish my all studies.
    2
  37089. Hello sir, I want to ask some questions reagarding my college applications. I would like to connect with you. How should I contact you personally? I would appreciate your help a lot. Thank you Sir or to anyone who's reading this and took efforts to help.
    2
  37090. Hey MathSorcerer, could you make a video on AOPS Calculus? I would appreciate your opinion on it.
    2
  37091. Donald Knuth was THE MAN, in those days.
    2
  37092. Jeff you should go back to your old hair style man...
    2
  37093. I thought this was going to be on the opposite end of the spectrum and be about how developed someone needs to be to understand the more complex levels of mathematics.
    2
  37094. Thanks 👍🏻
    2
  37095. Finally i need your videos for homework apart from pure passion .
    2
  37096. Thank you so much gurujii
    2
  37097. Do you think that math helped you to think more rationally / critically in different parts of life?
    2
  37098. My greatest regret with mathematics is that I tackled material that was too hard for me too early and ended up wasting a lot of time. I spent a few years after high school studying math before I decided I wanted to go back to college, and I ended up jumping straight from calculus and basic books on proof writing to some really heavy duty stuff in linear algebra. I mean I plodded through stuff like the cyclic decomposition theorem and spectral theory without even knowing how to solve a system of linear equations, and now I don't remember a word of it! It really goes to show how helpful having a mentor is! I now recognize how important it is to slowly build up understanding and really get to the heart of a subject before I move on to harder things. Now after spending so much time studying stuff that it is more accessible, I can finally appreciate things like the cyclic decomposition theorem that I read in that scary linear algebra book I bought when I was 18. I definitely got a shock when I learned about the proof of the structure theorem for abelian groups that treats said groups as Z-modules and how that same idea can be applied for the cyclic decomposition theorem by treating finite dimensional spaces as modules over a polynomial ring!
    2
  37099. Hey you know the book “Applied Complex Variables” by Dettman? Do you think I can work through it just knowing multivariable calculus?
    2
  37100.  @TheMathSorcerer  thanks!
    2
  37101. Very good
    2
  37102. Great video ^^ I’ve seen some of those books in your videos. Thank you for all the content you put out^^
    2
  37103. Good video!!!
    2
  37104. It's not opinions... mr. Strang is a teaching engineers at MIT, of course for them lingebra is more important, because nowadays the only way to really crunch any numbers in a computer is by using linear algebra. Calculus takes usually at least 3 courses in uni, but algebra gets only one, so it's definitely undervalued for engineers
    2
  37105. Thanks! Copying over the proofs sounds like part of careful reading.
    2
  37106. I like the video
    2
  37107. Hands? I didn’t watch the video, but from the thumbnail, I’m guessing the answer is hands.
    2
  37108. It's has been a while since we received a book review. Got any field theory books?
    2
  37109. I don't know if math consume a lot of time, because sometimes I just study for a few days , then I go to exams, it also depends who is teaching me, if he was I good teacher I don't so much time to partial understanding subject, but it takes time when I go to practice and practice, but at the our instructor he brought an easy question 😅.
    2
  37110. Great job!
    2
  37111. #edutubeeducation
    2
  37112. easy
    2
  37113. Thanks, your msg Fill me up with hope 😊.
    2
  37114. I'm a computer science student that has to go through the trenches of AI and Cryptography (and computer security)..so I have to understand how to speak numbers. Well technically I don't need a real deep understanding, but I'm choosing to put myself through maths 😂don't ask
    2
  37115. My thanks great sorcerer of math, for you have given me assistance along my journey of midnight mathematics.
    2
  37116. This video was perfect!
    2
  37117. I love your videos 🤩💖 you rock
    2
  37118. Love you videos. It might be useful to sketch the circle to underscore why there are two points.
    2
  37119. great video thanks!!!
    2
  37120. <3
    2
  37121. I use paper without lines but I can assure you that I am not the smartest person you ever met!
    2
  37122. My favourite mathematical YouTuber becoming jacked? Holy!
    2
  37123. An excellent description of an old textbook. I will have to look for that one.
    2
  37124. What is the square of 1/4?
    2
  37125. Great books!!
    2
  37126. the matt sorcerer you look like the lead singer for Rush
    2
  37127. I really needed this, thank you!
    2
  37128. I ate some pie
    2
  37129. I love you!
    2
  37130. Wtf...this is so well explained. I am actually able to follow calculus. Woot.
    2
  37131. حتى باب المنزل ، 🔥ارحه انت ايضا مجانا فق
    2
  37132. I am from India and studying in class 12, after seeing these questions they are super easy and anybody who has taken maths in class 12 can easily solve it, india the level of question is very very high..
    2
  37133. wait you'd start with discrete math? don't most colleges recommend a calc course before discrete math?
    2
  37134. Which book would you recommend to learn partial differential equation particularly?
    2
  37135.  @TheMathSorcerer  Thanks a lot!
    2
  37136. Wth!! This is amazing! I'm so jealous!
    2
  37137. My shortcut to learning maths is brainpicking. I do so by watching videos.
    2
  37138.  @TheMathSorcerer  You are amazing man, thank you so much for making these and actually talking through the underlying logic
    2
  37139. Sorry but I DISAGREE!!😅 In my opinion "Aeronautical/ Aerospace Engineering" is the hardest Engineering major. It's absolutely nightmare!! The amount of math, physics, chemistry that an undergrad has to do is insane and you have to be equally dextrous in all of these three discipline. Just being good at math or physics won't help, we have a subject on propulsion that has advanced level chemistry (and I'm really not good at it), we also have CAD softwares (aircraft designing) and what not!! Electronics, Fluid Dynamics, Aerodynamics, Finite Elements in Mechanical and Structural Analysis, Solid and Structural Mechanics.. You name it, we have it ALL!!😂 PS- for some odd reason this sem we are learning C/C++ programming!!
    2
  37140. Isn't this high school math ?
    2
  37141. Okay very good nice but how to get that board I really wish to get some materials but not sure how so I will wait. Thank you . Sure.🤣😔🌹🌷💕
    2
  37142. "It should fill you with joy."
    2
  37143.  @TheMathSorcerer  thanku sir
    2
  37144. Thank you sir😊
    2
  37145. You should read a book called Math: a discrete introduction, by Dr. Scheinerman if you haven't before. I don't think I've ever come across such lucid writing before in mathematical writing.
    2
  37146.  @TheMathSorcerer  Yeah, he used to work at the math department in my school. You may come to like it. He has a unique sense of humor.
    2
  37147. You should do a symbol of the day series of videos.
    2
  37148. Math is a wonderful thing, math is a really cool thing. So get off your ath let’s do some math, math math math math math.
    2
  37149. Just do it. That implies that Nike is the shoe of choice for doing math.
    2
  37150. 1. Which discrete mathematics book is better : Kenneth Rosen or Susanna Epp ? 2. Other than Chartrand which are other books to understand the process behind proofs & theorems ? 3. Please suggest some boolean algebra books and good books by Soviet Union authors too.
    2
  37151. making my way through your algebra course. just picked it up yesterday. thanks for all the great content and resources
    2
  37152. Thank you
    2
  37153. Buck is not available here.. Please provide your thoughts about Mathematical Analysis by Apostol
    2
  37154. Very helpful brother 😅
    2
  37155. I don't know, it feels like you can make a math course arbitrary hard. By now my hardest Math class was elemantary number theory. Not because of the content but because my professor just didn't cared that much. The hardest content i encountered was maybe Commutative Algebra. But i like algebra so that is fine. I still have one year left in undergrad and i might take algebraic geometry and that looks really hard.
    2
  37156. If you want a job I think you need to compromise. There's a bunch of fields in applied math that require less study and time. Data science, accounting. etc. If you are good in math, just look at what the market has to offer and what kind of certiifications are there available for you to get. A certification is much easier to get than a degree, and a certification offers quick job opportunities. For a few thousand dollars and a few months of study you can get a good job quickly. Then you can go back to academia. It's harder than actually just studying but it should make you feel better about your situation. Even without a certification there are a bunch of job positions that only require you to pass some difficult company tests.
    2
  37157. I think it's because acquiring proficiency in subject like math requires you to sit alone in your room for hours on end, working slowly through problem after problem. Most kids in the US (myself included) were too busy derping around on video games and hanging out at the mall to truly master any skills relating to mathematics. When I arrived at university and made lots of friends from other countries, it occurred to me that they actually spent lots of time studying this stuff while growing up. Learning math wasn't just some afterthought like it is for most US students - something that you kinda/sorta learn, but not really, because you are too lazy. American middle school and high school teachers allow students to get away with learning almost nothing, which really backfires when you get to university and suddenly it occurs to you that you're far behind on a lot of basic skills.
    2
  37158. GM Well defined strategy to focus.
    2
  37159. Those holes look like someone stapled paper to the cover.
    2
  37160. I appreciate this alot ....thanks
    2
  37161. 8:14 A submarine applied mathematics problem? This book is so awesome man!
    2
  37162. you really give me jeff bezos vibes for some reason
    2
  37163. Yeah... I’d rather take MATH instead of METH🤪🤪🤪
    2
  37164. It also answers some of the exercises!
    2
  37165. Clearly a fake video; Real mathematician don't hold markers like that.
    2
  37166. Sir make a video on geometry books
    2
  37167. It's a conceptual move not an algebraic one.... Lol!
    2
  37168. eres mi heroe!
    2
  37169. It's too bad that the instructor solution guide for this book, and others like it, aren't available. It's so frustrating to work a problem or proof and not really know if you got it right.
    2
  37170. Bro, dude staring at the camera all throughout the video made the dark side of self study seem a whole lot darker!!
    2
  37171. Xcellent piece
    2
  37172.  @TheMathSorcerer  Thank youuu🌷
    2
  37173. I can do anything ... the only limit is my imagination 🙏🏻
    2
  37174. Is it the same for f*g? Thanks
    2
  37175. Self studying the basic electric schaum's and on ch 4 which is all transient rlc circuits which is all differential equations. I was rusty but definitely picking it up. The circuits really test your knowledge of deq's because you have to set them up and run into all sort of integration/differential rules and different responses. It really tests you're de skills for 1st and 2nd order eq.
    2
  37176. happens to me with Spivak
    2
  37177. GOD bless you
    2
  37178. Just bought this book for $6 on ebay!
    2
  37179. is it me or that's easy and im in high school? there isnt a lot of thinking for me. i have bumped into more hardcore questions in my life 😅...
    2
  37180. Looks like I need 9 lives to handle all this books :(
    2
  37181. Windows Powershell in Action is another classic.
    2
  37182. 0:47 Ooh
    2
  37183. excellent problem, I know nothing about power series, but I understood everything what you've said
    2
  37184. Great find, thank you!
    2
  37185. Thanks for helping, I have already start teaching my young brother and my girl-friend...I learn and teach
    2
  37186. The best way to solve any problem is to get one of my servants to do it. That's what I pay them for.
    2
  37187. Thank you!!
    2
  37188. A "shortcut" could be the dictionary of mathematics (don't remember if it's published by Collins, Oxford or Cambridge)
    2
  37189. I have that big old book! (Encyclopedia of CS :) )
    2
  37190. I love u
    2
  37191. Apologies if I left a spam comment earlier that didn't make sense. The video wouldn't play and I fell asleep on the keyboard 😅
    2
  37192. Me expecting him to start from 2+2=4 🤣
    2
  37193. Sir I am from India your maths book collection is very pretty. My dream to read this book in my life just once .I am student of class 10 But I am very interested in Advanced calculus and I know basic of calculus very well . Sir if you read this comment please give me your's wishes to success in my life . Thank you
    2
  37194.  @TheMathSorcerer  Thank you sir 😗😗🤝
    2
  37195. Maybe it was my professor and the way he taught the class but I found calc 2 and all the concepts/methods to be really intuitive and rather easy to pick up. Calc 3 on the other hand, wow the concepts in that class were so much harder to grasp, even though the math wasn't as difficult as previous classes.
    2
  37196. Push yourself to self study. I expected to graduate from my master’s program with some serious skills and they really just taught me enough to pass national certifications. Most of my classes were unimportant and not what I needed to work effectively in my field.
    2
  37197. Micheal spivak is a great book. I like it very much.
    2
  37198. Awesome lectures. Will there be lectures on every chapter in the future?
    2
  37199. Nice....
    2
  37200. Language is not that too important in grad school in mathematics, my language is not that great and that didn’t affect my grad school progress, not yet at least.
    2
  37201. how did he not laugh his ass out during?
    2
  37202. Why don't you miss, you're always on point.
    2
  37203. I've once heard that math is a universal language...I've never heard anything more assertive than that.
    2
  37204. Where did you get the horse head from? Looks great accompanying the books :)
    2
  37205. It's possible!!
    2
  37206. Perfect explanation! THANK YOU!
    2
  37207. you're so awesome
    2
  37208. Is that okay for a 11th grader-
    2
  37209.  @jee3834  yay
    2
  37210. I didnt realise how jacked bro is ☠
    2
  37211. Could you also just prove that f is a bijection and therefore invertible?
    2
  37212. Washing your car on the weekends?????
    2
  37213. Thanks I really appreciate your suggestions!
    2
  37214.  @TheMathSorcerer  it is completely discouraging tbh plus it slows down the progress. I think I've already finished the entire calculus course if I don't forget things.
    2
  37215.  @jacobharris5894  damn ur way too far man! I hope I can reach that level of maths too.
    2
  37216.  @jacobharris5894  thanks pal! Goodluck to your math endeavors!
    2
  37217. @幸せのお面屋 geez you guys are so wise!!!
    2
  37218. This is such an excellent video, and I love your enthusiasm! Thank you for taking the time to make this video!
    2
  37219. funny. I work for a tier 1 isp, right now I'm writing the bootloader for the new WiFi7 home routers. uboot is written in c and assembler, unsurprisingly. it may surprise some people to realize that the PBL, which is the first thing to run when you give voltage to the SoC/CPU, is some raw ops cast straight onto the die, which immediately loads block 0 of the MMC (or whatever, for IPQ series socs its nand emmc) which is BL2/SPL written in assembler, and what that does is initialize the rest of the hardware, such as the MMU, DDR, ethernet, etc, and setup the virtual memory table before actually loading BL3, what most people think of as the bios. Oh all of this to say, we can't really get rid of assembler, assembler represents the most boiled down hardwired cpu utilizations, almost directly. There is one lower level which is that each instruction is actually a list of micro-ops such as fetch, or to use logic ports, etc, which are all thank god a-priori optimizable, or we'd be writing that too. I can't help but always feel the idea of "old" and "new" languages is simply a fundamental misunderstanding of what kind of machine the computer really is. /rant
    2
  37220.  @TheMathSorcerer , really appreciate your videos. please consider creating a video on your favorite (high school) graduation gifts for math/physics enthusiasts. How can I (as someone not particularly hood with math) encourage their pursuits and interests?
    2
  37221. Being able to solve 1+x = 7 is really the only kind of formula that I have used in real life. But, discreet math was the most fun for me, I would recommend first a book on logic that teaches truth tables and symbols.
    2
  37222. the talent is built?
    2
  37223. I have been trying what I will call destination math, I drive to a place that brings me peace and do math outside. A couple days ago was the harbor, today, the mountains, tomorrow, the beach...not very practical but it does help break the mold of always doing math at your same work station.
    2
  37224. Lost me at subtracting a alaphbetatical letter
    2
  37225. So true, I just wanted to thank you for continuing to making these videos and sharing your enthusiasm all the best for the new year
    2
  37226. Thank you sir,
    2
  37227. 1000percent to the point❤️❤️
    2
  37228. I just don't want to be 80 and get it; having little time to do anything with that knowledge after. That is what bugs me about time and patience.
    2
  37229. The fourth edition of Tao's Analysis 1 and Analysis 2 will be released in a couple of days. Just a reminder.
    2
  37230. That is so cool! I am about to order that book soon, so maybe I should wait a few days
    2
  37231. Thank you Sir
    2
  37232. Yes, I love Senica.
    2
  37233. thank you so much sir for clearing up my concept
    2
  37234. Hi math sorcerer! Can you recommend me a book that is good for 1st year engineering students like me? Im thorned between stewart, thomas and this one. Which one is the best? Can you name what pros and cons of each book? Thank you
    2
  37235.  @TheMathSorcerer  how about spivak's?
    2
  37236. I don’t know if I made a mistake but I signed up for ODE and Vector calculus for next semester
    2
  37237. Oooooh you dropped D. Baum!
    2
  37238. Jordan Peterson telling me how to learn maths now.
    2
  37239. You have no idea how much i needed this video. Thank you so much!
    2
  37240. thank you x10 i have been stuck on those problem for the past 15 min
    2
  37241. I always loved maths but I had missed the opportunity to pursue it full time at the early stage of my career..Now am 40yrs and want to start all over again as maths always had been at the back of my mind ..I always want to get into the depth of Advanced calculus and learning Linear Algebra ..I have brought some books of Linear Algebra by Gilbert strang ,some basic books on calculus on kindle aswell and I do some Math when ever I get time...and you may find it a bit crazy as an from IT and am a Network Engineer...:) could you please guide me with some good books ..thanks
    2
  37242.  @TheMathSorcerer  thanks a lot ...you are amazing!!!
    2
  37243.  @TheMathSorcerer  I also purchased a book today , The introduction to Real Analysis by John Stilwell and a book on kindle a few months ago ,named What is Mathematics ? By Richard Cohrant...do you have any suggestions for this books...
    2
  37244. Great video! Do you have any recommendations for where I can find textbooks for math?
    2
  37245.  @TheMathSorcerer  ohh, so you did research in pure maths?
    2
  37246. My problem is the discipline related to basic habits like: sleep and exercise.
    2
  37247. Here’s to the crazy ones. The misfits. The rebels. The troublemakers. The round pegs in the square holes. The ones who see things differently. They’re not fond of rules. And they have no respect for the status quo. You can quote them, disagree with them, glorify or vilify them. About the only thing you can’t do is ignore them. Because they change things. They push the human race forward. And while some may see them as the crazy ones, we see genius. Because the people who are crazy enough to think they can change the world, are the ones who do. --Steve Jobs,.,.
    2
  37248. I dont know what Im doing here, Im a musician
    2
  37249. Can't believe it my teacher write answers in two page 😂 and you solve this in one page hats off sir ❤
    2
  37250. Sir u r great
    2
  37251. Hey Math Sorc. Im curious if you know anyone who got their PHD in a non US university and whether that is something people should look into and what it was like. Thanks for all your work!
    2
  37252. I love you 😘
    2
  37253. Hi from UoW!
    2
  37254. Experience is the best teacher!!!
    2
  37255. Another great video. I wonder if the flip-side of the argument should be considered. Are you too young to learn mathematics? The question is not solely relevant to mathematics - but focus in general. Young people these days are so bombarded with stimuli and preoccupations that it takes an unusual ability to focus and not just to hang on long enough and persevere to get your degree. Being older supplants the necessity of a degree with genuine intellectual curiosity.
    2
  37256. Correction--I took German 1A in my second semester, having taken care of English 1A. Mists of time, and all that.
    2
  37257. I am in high school can i practice discrete mathematics
    2
  37258. Great explanation, thank you
    2
  37259. This helped me with my set theory homework a Ton. Going to subscribe to your channel. A genuine Math Sorcerer!
    2
  37260. I think there were a lot of books missing. A lot of geometry was missing. Analytic geometry in 2D and 3D. Euclidean / synthethic geometry. Projective geometry, neutral geometry, non-euclidean geometry. Differential geometry. Also some metric-space topology, axiomatic set theory, logic and categories was missing.
    2
  37261. For that unusual symbol, look at German script letters upper case S.
    2
  37262. Sir best book for partial differential equation and differential equations
    2
  37263.  @TheMathSorcerer  thank you so much sir
    2
  37264. Great video! Excited to see more from you!
    2
  37265. The hardest is Puppets Major No kidding, there is an actual degree for it
    2
  37266. Very very thank you sir
    2
  37267. Thanks for the motivation man! Now imma go and solve atleast 50 problems on integration
    2
  37268. I have that very K & R, if it’s pre ANSI, LOL
    2
  37269. This test is not that bad. But the last three are borderline analysis questions....Why did you do question number 20 like that? LOL. I could have gotten an A on this test since I took Topology. But wow só of the questions were conceptually beyond the scope of the class.
    2
  37270. i do have a problem with speed, most of the times i’m not able to finish all the questions because i run out of time
    2
  37271. honestly the uni should pay youtubers n not my calc teacher ☠️
    2
  37272. i needed that, thank you mr maths
    2
  37273. Personally, I found the Schaums series useless. With a 1-2 page summary only and then expected to solve all the problems given, no chance on Earth. And even the summaries were quite useless, imoho......they might be ok if you already know your stuff yet using these to actually learn from, nah.
    2
  37274. bless you
    2
  37275. News ..66 isn't old age.
    2
  37276. Thx I needed thx
    2
  37277. Thx
    2
  37278. Sir, you lowkey kinda look like Jeff Bezos
    2
  37279. OH MY GOSH. Another edition of the book, the Calculus 7 by Leithold is very popular for Math and Engineering majors here in the Philippines especially in the 90's and 00's
    2
  37280. Curious what videogames you like
    2
  37281. Yes, math people are elitist and its a good thing!
    2
  37282. It wasn't to much algebra focused? I didn't see nothing about number theory and modular arithmetrics for example.
    2
  37283.  @TheMathSorcerer  Very nice video tho!
    2
  37284. I feel like you can spend decades studying math and even if you reach like the top 10% of people who know math in your country or whatever you can still have moments of feeling like you don't know jack sh*t I guess that's the way it goes sometimes right?
    2
  37285. I love your videos. I love that you talk about the philosophy and mentality behind what it takes to do well in math. If that is there, you can learn a lot more. Obviously not anything, but certainly a lot. I also like the fact that you do book reviews. It not only gives people and including myself a choice of books to look at for the future, but also allows me to talk about math colloquially. I like when you talk about math colloquially. I don't like it when you get into the nitty gritty details, but I like it when you say discuss certain books or mathematicians. I feel like the nitty gritty stuff is to be done by yourself. It is more of a personal matter I would say. I wanted to put this down before I forgot what I was going to talk about.
    2
  37286. I just stumbled across your video and found it to be Amazing and quite interesting. I liked and subscribed and I will be following you. Thank you for sharing this. 🤗🤗🤗🤗🦋🦋🦋🦋🦋🦋
    2
  37287. The greatest sorcerer of all time!
    2
  37288. It was really useful, thanks 🙏
    2
  37289. Is there an email we can use to email you to ask for advice? In desperate need of some!
    2
  37290. Love math but I don't have a purpose with it.
    2
  37291. Your life changer ..dude
    2
  37292. calculus 5
    2
  37293. Another awesome video. This is the only video that I found , how to use stat crunch for Pop Mean using T stats. Thank you.
    2
  37294. This place must be where you do lot of thinking.
    2
  37295. A good book for Engineering mathematics please?
    2
  37296. I'm taking cal 1 at the moment, and while I do see the beauty behind it, I'm having a hard time with it. I don't plan on getting a bachelor's in maths however I do need to take some maths classes for my degree so I'm very motivated to do well in maths.
    2
  37297. 🔥🔥🔮💎
    2
  37298. That was so good thank you
    2
  37299. Respect to you sir ......u are great helper ..I'm from Pakistan
    2
  37300. I have a pdf, and it's a great helping book for sure, and well done.... maybe some little imprecisions, but is not a theory book
    2
  37301. I’ll try and buy it in summer and work hard each day in this book I can’t say am a bad nor an amazing maths student even tho am considered as the first people in my high school class I still feel like am messing something that’s why I wanna re revise everything from the beginning to built up more stronger
    2
  37302. Thank you,it's really helpful
    2
  37303. very interesting to hear someone talk about something they are passionate about, even if i not interested in the subject. i’m a senior in highschool and will likely never take a math class beyond basic algebra. not even trig. my major has little to do with math, but i still have all the respect in the world for the people willing to put the effort in to such a difficult area of study.
    2
  37304.  @TheMathSorcerer  I forgot to emphasize. You MUST walk. You cannot go to the sofa. Walking is part of the process.
    2
  37305.  @TheMathSorcerer  If you make the video, it will be awesome. You have my full support.
    2
  37306. Since this book is okay on readability, would you still recommend that I self study differential equations from this book?
    2
  37307. I just loved your content... It also inspires me as I am also a youtuber but I upload videos intermittently.
    2
  37308. Electrical engineers use the letter lower case j instead of i as the imaginary unit because i is reserved as a representation of current
    2
  37309. You already answered the question with your thumbnail. To me, you have the face that is about to say, “You’re never too old to learn math.”
    2
  37310. What would be the best book on proofs for a beginner who wants to learn how to do proofs via self-study? Thank you, you have a great channel!
    2
  37311.  @TheMathSorcerer  Thank you! I started watching your playlist with books reviews, I dint seem to find any book dedicated to trigonometry there (I need to really brush up my trigonometry as well). Would you be kind enough to recommend one? Thank you very much again!
    2
  37312.  @TheMathSorcerer  Thank you so much for your recommendation and for your channel, it’s is a precious gem and I’m so happy I found it! The playlist with the book reviews is especially useful for me, I always do not know which book to get. And sometimes I get a book only to realize latter that it’s not the best. Thank you for all your hard work sir!!!
    2
  37313. Wonderful job!
    2
  37314. really liked this video
    2
  37315. Thank you so much!!!!! it was big help for me. shout ouf from South Korea
    2
  37316. Many of the books have very fancy and artful covers.
    2
  37317. Gonna watch this everyday of my last year of B.Sc in math.
    2
  37318. ❤❤
    2
  37319. thanks
    2
  37320. Btw, might be a great inclusion for people who want to pursue Astrodynamics.
    2
  37321. Now this is edutainment.
    2
  37322. K&R's book is good if you want to read history but as far as modern "C" is concerned, the book is quite dated. Try "A Book On C" as an alternative. Well written and more modern examples. Used copies can easily be found. As for myself, aside from what I learned reading Byte magazine in the early years (late 1970s) the first book that really introduced me to "Programming" was Wirth's book "Algorithms + Data Structures = Programs". Examples are in Pascal, but are very easy to read and understand. Highly recommended.
    2
  37323. When I ask a question My maths teacher - expand your thinking Me - 😳
    2
  37324. No offence, but are you jeff Bezos with a wig?
    2
  37325.  @TheMathSorcerer  I can relate. I am 12 and study math independently from the schools curriculum, and I told one of my friends that I enjoy solving math problems and he labeled me as being a nerd. He is still my friend but it sucks not really having any friends to discuss this stuff with.
    2
  37326. Thank you..
    2
  37327. I laughed so hard at this 👌so true
    2
  37328. if you have fun, work doesnt seem like work. try to have fun. thats my advice.
    2
  37329. I notice your new outdoor lecture-like format and think it's very cool! I enjoyed the topics you covered and the new means by which you discussed them.
    2
  37330. It's so helpful that there's someone out there who speak the truth about what's actually needed to be successful in math. There's too many people talking about how easy it is and it bothers me so much lol
    2
  37331. love your bookshelf!
    2
  37332. the only time i understand onto is when this man explains it... thank you
    2
  37333.  @TheMathSorcerer  Do you ever regret your descision to become a mathmaticain for your career? If you were not a mathmaticain what career would you do instead? Do you regret becoming a pure mathmaticain instead, of an applied mathmaticain? Thank you for this video. Excellent job.
    2
  37334. Thank you sir...Today I got what I had been searching for years...I am in tears ....thanks a lot...
    2
  37335. Enjoy your vacation!
    2
  37336. this guy sometimes get so relatable that i think he is also a stupid like me...
    2
  37337. Hello, math sorcerer !! I once read in a book that the best books to learn mathematics are those whose titles are " Mathematics for engineering... or for physics" meaning that they are easier to understand. What is your opinion?
    2
  37338. Boss moves
    2
  37339. Seems like you simply exploded the expression into its primitive identity. Am I right?
    2
  37340. Calculus and It's Applications by Bittinger, Ellenbogen, and Surgent is a good Business Calculus book.
    2
  37341.  @TheMathSorcerer  thanks!!!
    2
  37342. people sniff myth this guys sniffs books lol love your content btw
    2
  37343. I just wonna ask if do you practice on a digital tablet, and if it is, whats the mode
    2
  37344. thanks
    2
  37345.  @alexandertownsend3291  I don't know the topic in english language,. I think im on algebra topic
    2
  37346.  @alexandertownsend3291  thanks bro... Can't imagine how can i do math someday with big step up
    2
  37347. I would love to find a mentor, but the supply is pretty low.
    2
  37348. The kind of videos youtube was made for...
    2
  37349. Thanks!
    2
  37350. Nice
    2
  37351. Einstein+Hippy= Remix, what a orginal Man : ). Respect for you apparition Artist Math : ). Regards from Poland. I love only in Math=Geometric, nothing else.
    2
  37352. YES, I TOTALLY AGREE WITH THAT BUT THE KIND OF PRACTICE THAT IS REQUIRED IS A DELIBERATE PRACTICE WHERE YOU CONTINUOSLY LEARN AND ELEVATE YOUR POTENTIAL BY SOME LEVEL.
    2
  37353. "All these book i've shown are under $5". Posts links below $127.00. Looks like all your viewers bought the 5 dollar copies.
    2
  37354. Thank you, Sir!!
    2
  37355. This infuriated me because this is frighteningly accurate
    2
  37356. I'm Brazilian and i love your videosi² Thank you so much for your videosi²
    2
  37357. Many people miss the point. You cannot start being fast on problems, you are struggling with. If you want speed, you first need to add, substract, multiply and divide FAST. Many people lack speed in these and struggle from that point on. Practice these four operation, combine them, solve complicated formulas in your head ad often and as fast as possible. Find algorithms that work best for you And then you can have speed in diferent areas as well. Math Is like a brick house, you build it layer on layer on layer... And the concrete foundation of the house are these four operations. Practice math the same way people learn chess. First you learn how the pieces move until you no longer have to think about it, then you solve puzzles, then you solve harder puzzles and study openings, forks, discoveries, strategy, endgame.
    2
  37358. Bro this is about me. In calculus, reading Intro to Topology by Bert Mendelson, so that part felt like an attack lol Solid gold.
    2
  37359. iirc, this theorem gets an extensive workout in the Advanced Engineering books.
    2
  37360. Thanks a lot that's probably the fastest way to learn
    2
  37361. Yess surfing haha!
    2
  37362. Great advice. Thank you
    2
  37363. Do you know Richard Courant calculus book? Could you makes a vídeo about this book?
    2
  37364. I know they gonna have food....so there will be a meeting...LOL That is what I call a mathematical demonstration!
    2
  37365. great information definitely a video to send to my circle thank you and you look like a monk version of Jeff bezos
    2
  37366. would appreciate a similar kind of video on algebra alone
    2
  37367.  @TheMathSorcerer  ye saw that later... its great 👍👍 thanks!!
    2
  37368. I have not read all comments but how many people ask for a daily or so math problem from you. You know one mind to another Ralph
    2
  37369. Algebraic geometry is a struggle. This really helped. Thank you!
    2
  37370. Math Sorcerer be like inspiring
    2
  37371. I find it difficult to understand the struggle with trig. There's virtually no memorization required. Like everything, understand the foundations and how to derive the rest.
    2
  37372. Totally agree with you it's the hardest major
    2
  37373. How Long would be the Shortest Video to Walk/Take someone from Ground Level to The Top in Mathematics, Going Through Problems, Solving Them?!
    2
  37374. Aint your eyeballs dry?
    2
  37375. Hello, umm you don't know me but you are my favourite teacher. You made me realise that nothing is impossible if i'm ready to work for it. Math has been one of my biggest fears and my classmates used to make fun of me. When i had enough of it and decided to imrove my math skills, i found u. During long time of self-studying sometimes i felt dumb, was ready to quit but i just kept going. And yeah, i'm back with good news! Recently applied for an university and got 100% on my maths test. Thank you for everything. I hope u will read this comment. (I'm not native english speaker so sorry for my mistakes)
    2
  37376. Helpful
    2
  37377. I am 24 and I am having courage to overcome my greatest fear which is math.
    2
  37378. we'll I'd love to walk away.. but I have an exam tomorrow :(
    2
  37379. El cero es la mujer y el 1 el hombre. Los demás son sus hijos.
    2
  37380. the second edition from 1965 is available at a lower price. I wonder if it has the same first chapter on sets.
    2
  37381. I agree calc 2, but a poor grounding in calc 2 will leave calc 3 much harder than it should be
    2
  37382. i love u
    2
  37383. LESSSS GOOOOOOOOOOO
    2
  37384. Awesome recommendation
    2
  37385. Does the interview come with audio?
    2
  37386. Okay, now I get audio after downloading the interview from YT.
    2
  37387. I didn't think he was going to read it in Spanish.
    2
  37388. I can understand a lot from this lecture and your eating very cute thank u
    2
  37389. The perrrrfffect video for me, Thank u so much man
    2
  37390. if not i totally understand!! this video alone will help thousands of ppl including myself so thank u😊
    2
  37391. Would you recommend this book as a good summer read for someone who will be studying maths as an undergraduate? Thanks.
    2
  37392. Congratulations on reaching 100K subscribers! 🎉🎉🎉
    2
  37393.  @TheMathSorcerer  no problem. It’s well-deserved. Your videos inspire me all the time.
    2
  37394. 1:28 I'm sorry professor... Math is not my strong suit...
    2
  37395. Ok. So maybe a day or two ago, you talked about a book with a very particular type damage, well I think I have an answer for you. I suspect that that is from title markers. I don’t know how to explain it other than some of the older books have “brass titles”. The damage looks like pin holes and given that I didn’t see damage on the first pages, I suspect it’s intentional
    2
  37396. There is a feel good vibe to this channel. But the reality is that we all do not have equal abilities. And no matter how hard some people try, they will never become good at math.
    2
  37397. Brick and mortar institutions have their ways of efficient indoctrination... i mean 'EDUCATION'... also self study is hard as shit... good luck
    2
  37398. Very interesting, I love maths and history, so for me it's a true jewel.
    2
  37399. Sir I'm a introvert.
    2
  37400. 1:10 confirmed, this guy taught Will Hunting
    2
  37401. I love these kind of proofs
    2
  37402. Did nobody get the Office Space reference?
    2
  37403. Thankyou very much
    2
  37404. Everything this!
    2
  37405. Great video <3
    2
  37406. Thank you so much! You're still helping people in 2021, this is the second video I watched that helped me understand my homework. For reference it was lim x->3 tan^2(x^2-2x-3)/(x^2-6x+9) thank you!
    2
  37407. Whooa! Had this paper in honors year in undergraduate studies together with astronomy. Fascinating proofs. Took few days to visualize that sum of the angles of spherical triangle is more than 180 degrees. It just didn't sink in initially. Thanks for sharing.
    2
  37408. I understand completely, mhm.
    2
  37409. Larson is better than Stewart.
    2
  37410. Amazing, thank you Math sorcerer
    2
  37411. I found Algebra and Linear algebra in my first year, they were easier than analysis. Analysis proofs were just out of this world.
    2
  37412. Hey I know this is 6 months later but what happens to the 2xy*dy/dx. I see you factored the x^2+2xy sum of products but why not the other bit when solving for dy/dx? Maybe I'm not seeing something?
    2
  37413. very valuable hint
    2
  37414. Is there even a finish to math?
    2
  37415. Yeah... my calc 1, 2, and 3 professor was very inconvenient!!!!! Thats why I took him for DE as well... no options
    2
  37416. That's cool. What do you remember of the subject?
    2
  37417. The Math Sorcerer Was there a lot of proofs in your class? If so how hard was it. I was thinking of taking a applied complex analysis course next semester but I don’t know if I’m ready. I read some old syllabi for the class and according to that there will be some proofs but I don’t know how hard it will be. For reference I would be taking an introductory proofs class, called Mathematical Structures, alongside it. I took the class before but I ended up dropping it half way through because I was busy with my other classes. Do you think I should wait to get more experience with proofs before taking it?
    2
  37418. I took it after differential equations, linear algebra and calc (I and II) and it was my hardest math course, but im an engineer so it must be a cake walk for mathematicians
    2
  37419. THANK YOU for using bright neon colours for those with colour blindness and night blindness. This maths is little beyond me. I have never done double integrals before. I will get there someday.
    2
  37420. Sir i have a question does eating pork or beef for fun can degrade your ability to study maths and accounts
    2
  37421. Still hurts 🤕 my brain
    2
  37422. I've just started my journey in Maths...by opting it and Computer in Optional.....now I got a reason to be the premium member of your fan club💛 Love from India🙏
    2
  37423. Your sound is great, what mic are you using? Shure mv7?
    2
  37424. My worst test was the test with the shell/disk methods lol. the seq and series stuff is also a thorn
    2
  37425. Wow, this really works! I woke up feeling discouraged. So after accepting and embracing the feeling, I got up and had a cup of coffee. After relaxing with my coffee for a lazy half an hour I felt great about getting busy on some topology! Thanks!
    2
  37426. is it just me or does he look like jeff Bezos but with more hair? 😂😂
    2
  37427. as a noob in math I got that easy too
    2
  37428. Good
    2
  37429. Kinda off topic but should i become an electrical engineer or aerospace engineer?
    2
  37430. Depends on what you like lol
    2
  37431. Watch Stand and Delivery. Say no more....
    2
  37432. Focusing on the denominator threw me off. I had to keep remembering that the focus is on the initial function.
    2
  37433. Thanks!
    2
  37434. Nice
    2
  37435. ♥️
    2
  37436. im going to learn math
    2
  37437. This guy is an addict. Always sniffing. Me too by the way. New books are🤤
    2
  37438. Why does he look like Jeff Bezos hipster brother from scandinavia?
    2
  37439. Los lenguajes ensambladores siempre me han parecido interesantes, la desventaja es que cada máquina o procesador tiene sus propias instrucciones, aunque algunas se parecen, se requiere mucho estudio para pasar de un programa para una máquina a otra, no obstante es un mundo muy esotérico, al cual quisiera entrar a estudiar en su momento, también recomendaría Arthur Hill (1976) Applied Algebra for Computer Sciences, para entender los fundamentos matemáticos.
    2
  37440. Hey....I liked your stuff ...I'm Brazilian and I've just found your channel
    2
  37441. first 😅
    2
  37442. Then there's me taking a rest from all my rest.
    2
  37443. Although I agree for the most part it is easier said than done, I feel it also depends on what year you are in your studies. For instance, I am a 4 year applying to graduate school with deadlines, letters of a statement, references etc.. and despite starting early it takes a lot away. As a result, I find myself ensuring that I do not fall behind and doing practice but balancing graduate school apps so homework and 100% effort in the assignment is a little bit lower. The reason for this is because imagine you did 100% effort as a senior and you put the poor effort in grad apps. Then you are not getting in 🤷‍♂️ But if you put a balanced approach in grad apps which are due often before the first midterm and after it is done catch up as much as you can once you get accepted soon after you'll most likely be more motivated and hungry to succeed. I bring this point of view up because I have friends that succeed in last year with 100% efforts but had poor graduate school app and were rejected because the app was poorly completed and had to apply the next year often losing the momentum they could have had if they took a balanced approach. I would love to hear your thoughts? By the way, I do not disagree with your explanation first 3 years and the fall term was similar. And allow me to succeed but when those grad app deadline approach it gets more complicated. I would love to hear a video on balancing grad apps with coursework. Especially in January. For Canadian applicants
    2
  37444. "Its a conceptual move, not an algebraic one" had me dead
    2
  37445. i can't wrap my head around the amount of books you have.
    2
  37446. Why does his normal face look like a deepfake
    2
  37447. I bought these books for self study, would you please review them. Are they any good? https://artofproblemsolving.com/store/online
    2
  37448. Thank you! Your videos are inspiring, even help me as a 50 yrs old to start from the scratch!
    2
  37449. This is an interesting topic. You need to look at this from a broader perspective. I Like to draw and paint and this topic comes up very often with artists. Some people tend to have a 'natural skill' for something. Some people can draw very well at a low age. This gives them a head start. But this does not mean they will keep this head start forever. They still need to put in the time and effort to get better. Some of these people tend to stop improving. This is because they had it easy on a lower age and never learned to really work to improve. Someone with a low starting point can become better than those people due if they just keep learning. However. This said and done. There does seem to be a ceiling on how far someone can improve them selfs. Those people with the head start might always be better if they just put in the same amount of time as others. There are some exceptional people in the world that just seem to work on a higher level than others. But remember, this is less than 10% of the population. For most people you can achieve high level of skills. With or without 'natural talent'
    2
  37450. Thank you for your advice. Nice collection there =)
    2
  37451. Professor: Jeff Bezos with hair and red skin.
    2
  37452. Dude you should make better thumbnails. In the one for this video you are clearly talking and you look so funny.
    2
  37453. Problems in maths have nothing to do with problems in life. Problems in maths require logic and only logic, problems in life is mixture of logical, emotional, cultural, social dimensions and sometimes the better you get at solving problems in maths the worst you get at solving the problems in life because you become more and more one-dimensional (dont get me wrong I prefer solving maths problems than life problems and thats why i try to spend as much time as i can doing maths)
    2
  37454. explained beautifully
    2
  37455. Out of curiosity, is there something similar for trig? I'll be taking Calculus II in the Spring and I'd like to sharpen up on my trig.
    2
  37456. The more you can keep your college life simple , the easier it will be
    2
  37457. I'm grateful to you !!
    2
  37458. Smart people fail because they may lack in social skills.
    2
  37459. Love it ♥️❤️♥️🤧💆🏽‍♀️
    2
  37460. But what's the lowest boundarie for this example. That's my hw question ?
    2
  37461. iam gonna start this tommorow. ill sue you if this doesnt work. be prepared good sir!
    2
  37462. Thank you!
    2
  37463. Honestly this is kinda obvious to me, there's tons of stuff from undergrad I've forgotten the details of because I haven't used it recently, but when I need something I know how to research it and can pick it up quickly.
    2
  37464. Does anyone else think he looks like Jeff Bezos with hair?
    2
  37465. Very helpful indeed.
    2
  37466. very good
    2
  37467. Good stuff.
    2
  37468. is any book of abstract algebra better than serge lang book ?
    2
  37469. the conclusion of video is speed running mathematics problems have a nice day 😊
    2
  37470. g8 vid special thanks from mexique
    2
  37471.  @TheMathSorcerer  is this book about ordinary differential equations?
    2
  37472.  @TheMathSorcerer  thank you fot replying♥♥♥
    2
  37473. Quick question Math Sorcerer: I am following this order. I am now by Kaufmann's college Algebra, and hope to get until Statistics - in a few years 😂). Do you think a graph calculator is nowadays needed? Do you still use it?
    2
  37474. Just follow on twitter some trustworthy epidemiologist who is doing a good job in advising people how to prepare, for instance Dr. Tara C. Smith. Avoid speculations of people with too much imagination!
    2
  37475. Have you made a video of the Spivak Calculus? It was a legendary book when I was in college.
    2
  37476. What is ASMR?
    2
  37477. I totally agree. In advance is also need strong will.
    2
  37478. lifesaver! thank you
    2
  37479. C is such a neat little language - always a joy. Cool books are also "Deep C - by Peter VanDerLinden and "The C Companion" by Holub which both provide an excellent inside look. A more modern tome would be "Modern C" by Jens Gustedt.
    2
  37480. Keep up the good work
    2
  37481. wow this video is perfect. I agree completely.
    2
  37482. Thank you!
    2
  37483. hello!
    2
  37484. Thank you so much I finally got it.. I spent 1hr and 30 min in class and couldn’t get...
    2
  37485. Book reveal, 2:30: Calculus. I will figure out that 2nd row someday xD
    2
  37486. Thanku🙂
    2
  37487. is this a math video or advice to get over my ex?
    2
  37488. thanks sir!
    2
  37489. I haven't yet reached graduate level, but I do though skim read their books and try to make sense of notations, jargons, etc.
    2
  37490. SAME!!!
    2
  37491. It just feels like too much
    2
  37492. NERDDDDDDDD!!!!
    2
  37493. I love your hair 😍!
    2
  37494. Thank you so much! Quick question: what allows us to say that Φ(g^n)=(Φ(g))^n?
    2
  37495. Hey Math Sorcerer, do you think the ideal Abstract Algebra course should start with Ring theory or Group Theory? My professor taught Rings first and later I found out it's not very common. He used Introduction to Algebra by Peter J. Cameron.
    2
  37496. DE MORGAN
    2
  37497. This video helps for my next test! Thanks!
    2
  37498. Wow what a wholesome video. As a graduate student in math who will be teaching a bunch of these topics, this is fantastic!
    2
  37499. Knuth was the Professor of the Art of Computer Programming at Stanford.
    2
  37500. Yeah
    2
  37501. I like your book stand!
    2
  37502. 0:30 Yes, you are in deed famous among the math lovers.
    2
  37503. One of my favorites and I thought most re-memberable - there are topics in it I remember but did realize were I read it!
    2
  37504. Thanks
    2
  37505. Good book, but Mood, Graybill and Boes is even better.
    2
  37506. so cute 🐹
    2
  37507. Thank you 💙👏
    2
  37508. Please do a review on Calculus Texts by Apostol.These are masterpieces,which are falling out of use nowadays.
    2
  37509. newton
    2
  37510. Thank you
    2
  37511. It's very interesting to study math but it will take all the time 👌
    2
  37512. All-day every-day
    2
  37513. Gracias profe :)
    2
  37514. Nice
    2
  37515. I just graduated w/ an applied mathematics degree. Why am I here? Stockholm syndrome?
    2
  37516. Wow! Great video! This message comes at a great time for me. I Really appreciate it. Keep up the good work! P.S. Love the new production quality. Vid looks great
    2
  37517. Thank you soooo muchhh❤️
    2
  37518. 🙏🙏🙏🙏🙏🙏🌟🌟🌟🌟🌟🌟👏👏👏👏👏👏
    2
  37519. Wow…..this is a forgotten historic treasure ！
    2
  37520. Really like your video...very good advice...
    2
  37521. Calc I was a weeder class. Calc II was brutal, but good. Calc III was a breeze!
    2
  37522. Plan out your notes, if there are no proper named chapters do sections. Also record everything is better I have left classes because the teacher wasn't providing enough information.
    2
  37523. please blink
    2
  37524. Followed, perhaps, by "Analysis on Manifolds" by Munkres? Good video, btw. I see the Indian publishers coming up with better and better content.
    2
  37525. Awesome, clear explanation! Definitely helped clarify why this makes sense instead of just memorizing. Appreciate what you do!
    2
  37526. You lost a week because of a typo, and you did understand it was because of it. You won't lose a week because of a typo again. Understanding happened, just not the understanding you thought.
    2
  37527. thank you so much!!!!
    2
  37528. Why is rsintheta = to y
    2
  37529. Chemical engineer student here. We are certainly powerful creatures. Our brain works differently than others. As a Cheme I can tell that we do a little bit of everything from math, chemistry and physics.
    2
  37530. Indeed self study fun. It helps us to build self confidence and self assessment.
    2
  37531. “Math teaches you how to think.” Exactly! I’ve said it myself many times 🤓👍 (calculus specifically)
    2
  37532. 1966 WOW SO LONG AGO... pfft
    2
  37533. I love mathematics ❤
    2
  37534. the homework..... is just good to do that one hit home
    2
  37535. At 1:00, i knew it was coming wasnt prepared for the end of the world though was, bustin out laughing
    2
  37536. You are a dear friend!
    2
  37537. Seeking knowledge knows no age limits or other restrictions, and different culture have their own typical influence. The prophet of Islam has said “Seek knowledge from the cradle to the grave.” And has also said “God has revealed to me, 'Whoever walks in the pursuit of knowledge I facilitate for him the way to heaven. Also “The best form of worship is the pursuit of knowledge.”
    2
  37538. pls review india's jee advance test
    2
  37539. Many thanks for this good video.
    2
  37540. For those kids who go to public school self motivation and a rational personality type can help. My daughter is homeschooled and her first year was the very basics in math, but also basic reasoning skills. Her third year she went to public school for math and learned absolutely nothing. Back in homeschooling, she ran through two years of math in one year and passed up all the kids her age, even the Gifted kids. Reviewing the methods and textbooks the public schools systems use I can see why math is so hard to learn, their methods and texts make it confusing. My wife is taking a college agerbra class and the instruction is hopeless. I have to go over everything with her and show how to use logical deduction to find what seems to me the obvious answer. There's entirely too much time wasted on faulty methods, learning the confusing nomenclature and taking tests and too little direct instruction.
    2
  37541. aculus7
    2
  37542. It really is a mystery why universities require calculus for discrete math, even my discrete math teacher could not explain that and I think he disagreed with that approach. I remember learning a little about proofs in linear algebra so that could be a better prerequisite.
    2
  37543. If socrate seen you he will cry some wisdom math 😅😅
    2
  37544. Thanks for this playlist! Question: Is this the complete content you'll be covering for DEs? At my university Fourier Series and Boundary-Value Problems in Rectangular Coordinates is included. Namely Chapter 11 (11.1 - 11.3) and Chapter 12 (12.1 - 12.3) of the textbook. Take care,
    2
  37545. Fitst time in my life
    2
  37546. I’m going to be taking this next semester in the spring 😅
    2
  37547. Where can I buy this book?
    2
  37548. Who was the guy from Italy, if you recall?
    2
  37549. I agree that math is beautiful and I don't think people doing math are elitist in general. People with an elitist mindset, that is people who look down on others they deem less capable or "worthy" can be found in all walks of life. But they don't get to decide whether you enjoy doing whatever (in this case math) or not, that's entirely up to you.
    2
  37550. 1. They work very hard 2. Do tons of problems 3. They fail alot 4. Gather examples and resources
    2
  37551. Currently taking master in math education..deviate away from my bachelor
    2
  37552. Brother make more reviews on maths books
    2
  37553. I am in 9th grade and I dont understand compound interest prblms very well.... and when I ask anyone they just say I am dumb..... its not the answer right? IT SUCKS
    2
  37554. amazing stuff
    2
  37555. Using cos2x=2 cos^2x-1 We can easily solved this type of trigonometry problem
    2
  37556. "Any questions on this"... and here I am watching it on YT with a question. 😞
    2
  37557. I disliked Stewart's Calculus text when I was using it through my first couple of maths units at uni. It wasn't until a few years later when I decided to re-learn maths when returning to uni for a graduate's degree that I started to appreciate it.
    2
  37558. I have the first edition of this book. It's a dark blue book. It's a pretty good book.
    2
  37559. This is the worst and the best comedy about math what I've seen so far 😂😂
    2
  37560. like the delivery. i mean, why would a guy worth 200 billion be teaching on youtube? haha cheers
    2
  37561. Is it possible to finish a whole calculus book like thomas calculus from cover to cover? Give me some advice 😢😢
    2
  37562. Partial Fraction Decomposition ~ Wolfram https://mathworld.wolfram.com/PartialFractionDecomposition.html
    2
  37563.  @TheMathSorcerer  And computing residues for rational functions.
    2
  37564. “6 decades in pursuit of a PhD or 2 years for a Masters”…..hmmmm
    2
  37565. Can you make video about mathematician jacobi?
    2
  37566. I think MIT has a nice free one.
    2
  37567. One of my classes is using “Mathematical Proofs: A Transition to Advanced Mathematics” which I really like. It covers the basics of proofs and touches variety topics like number theory, combinatorics, calc, linear algebra, group theory, etc.
    2
  37568. Its really helpful
    2
  37569. I'm a member of MBSA (Math Book Sniffers Anonymous). I thought I was alone in my quest for an occasional cheap thrill by sniffing old math books...until I came across your videos. You've really got it bad man. You sniff a lot of damn math books, and you do it publicly. Anytime I go to an old book store, get face-deep in the pages of a used math book and take a big ol' sniff...I always get told to leave. The books smell like a mix of vanilla, almonds, and flowers.
    2
  37570. You always have timely advices for me. Thank you!
    2
  37571. I love your way of making content
    2
  37572. Can you solve this please?👇 Laplace cos^5 Please 🌹
    2
  37573. honorable man!
    2
  37574. Thank you❤️
    2
  37575. Before I watch the video, I'm going to say making connections. I learn fast because I like to constantly tie things together.
    2
  37576. Where did you get this footage of me from?
    2
  37577. You are a math Professor but act like dumb student in the class,,, i love your humbleness,,,love from Bangladesh
    2
  37578. I wonder why the multiplicity always multiplies another x. Weird :P
    2
  37579. or
    2
  37580. I dont think those glues are the healthiest to huff
    2
  37581. Honestly, my mathematical physics course covered quite a few of those topics, but not the hypergeometrics.
    2
  37582. I wish I found this video 10 years ago
    2
  37583. Great vid as always
    2
  37584. I have constructed my mathematical bases from your advices...thank you.
    2
  37585. you're awesome!
    2
  37586. Thank you
    2
  37587. Thank you very much!
    2
  37588. It's just the beginning
    2
  37589. Many thanks for the inspiration.
    2
  37590. It's quite strange for as long as I can remember I was always good in math (we have a wonderful relationship). I started loving math at the age of 7, back then I was learning how to multiply and add numbers (but it was still at the time so fascinating). Fast forward and today I'm doing calculus, math has always made me think of world in a different way, as Einstein said "it's the poetry of logical ideas". Well it's kind of strange how many people don't appreciate math enough, because like the internet wouldn't have been possible without it!!! Math is really fascinating, amazing, beautiful, difficult, helpful, I could likely go on forever but you get the point...
    2
  37591. Great title...
    2
  37592. cool
    2
  37593. If you can't fly,run...if you can't run,walk..If you can't walk then crawl ❣️ _dr Luther king jr
    2
  37594. Thank you .. I got alot of benefits from this video
    2
  37595. for selfstudying calculus would it make any difference to get the stewart vs the spivak book? i only want to get one
    2
  37596. Do you have a study routine? What time of the day do you like to study and I wonder if you reckon waking up early and studying has an impact?
    2
  37597. more like the JACKED sorcerer amirite??? This guys Yoked in the brain and yoked on the gains. Brain and braun all together! haha Math hero
    2
  37598. Very helpful! thank you
    2
  37599. Book of Proof by Richard Hammack is also a wonderful introduction to discrete math and proof writing. I would highly recommend!
    2
  37600. GENIAL.. MUY MUY BIEN!! OTRO MOTIVO PARA APRENDER AH HABLAR INGLES.. RAYOOSS!!!
    2
  37601. Who else didn't notice that cutie birdy !
    2
  37602. Thank you so much!!!!! Stat crunch is SO helpful and you make it so easy to understand! Thank you so so much! God Bless🙏🏽💙
    2
  37603. You have no idea how much of these motivational videos help me keep going
    2
  37604. Thank you for this! I'm the top student in my Calc class and math has always came easily to me, but this was really inspiring :)
    2
  37605. Danke!
    2
  37606. You always get to the point. In less than 2 minutes this time ! : ))
    2
  37607. I’m 42 and getting back into math. It always bugged me how I had one bad semester in grade 8 which put me into remedial math and killed my potential in it. Anyhow I’ve been keeping at it the past year originally telling myself I want to learn enough to do a bit of calculus. Now, the more I learn the more I see how much is beyond that horizon. And it all sounds so fascinating, but maybe a bit unrealistic. What is the biggest bang-for-buck (in terms of conceptual crossover, high level clarity brought to other topics) advanced topic I should shoot for near term?
    2
  37608. Gracias
    2
  37609. 3:01 close enough, but we would still have this on our test
    2
  37610. Fall down seven time , stand up eight.✨️🧿 -japanese proverb
    2
  37611. How much did Bezos pay you to be in you'r channel?
    2
  37612. how necessary is the horse head?
    2
  37613. Its key
    2
  37614. Book info is limited. Like your teacher, get where the real learning tool is, student solution book to all, and I mean all odd problems.
    2
  37615. Every word? Even the index?😊 I love your Channel
    2
  37616. Loved it, keep 'em coming
    2
  37617. You can't buy this advice. Take note. Thank you.
    2
  37618. Heart my comment pls. K thanks
    2
  37619. Just a triple integral, nothing special:)
    2
  37620. Thank you sir.very informative and compact.
    2
  37621. I love you
    2
  37622. Nice nails
    2
  37623. Good job master
    2
  37624. where'd you get the table?
    2
  37625. I need this as i speak
    2
  37626. Thankyou man
    2
  37627. Although I understand different people teach and learn at a different speed but in a rough ballpark, how much time would one put into each of these materials and books? A month per book? Two or three months? You mentioned that you teach using a book or two in this list so how much material is usually used in these books over what span of time where it seems... reasonable?
    2
  37628. Big inspiration to me. Thank you for keeping me motivated god bless you! lots of love from south korea!
    2
  37629. I'll be taking online classes next month, I hope that it isn't that bad haha
    2
  37630.  @TheMathSorcerer  thank you I appreciate it
    2
  37631. Thanks for being inspirational, for the positive attitude that is fundamental for our growth in all aspects of our lives!
    2
  37632. are you enlighten being? im convinced
    2
  37633. U need to see the sun
    2
  37634. Well that's encouraging. I'm a 25 year old electrician taking courses part time for a BSEE. Trades are great, but I dont want to hammer drill into concrete for the rest of my career.
    2
  37635. thank you!!
    2
  37636. I checked this book out from my high school library, and I’ve been unable to find it anywhere ever since. Sadly, I can’t find it anywhere online.
    2
  37637. 👏🏼👏🏼👏🏼👏🏼
    2
  37638. "Hard work beat talent when talent doesn't work hartd"
    2
  37639. 😭😭😭
    2
  37640. Not me actually tuning into what you're saying homie
    2
  37641. I'm smart but I have cerebral palsy and I was convinced to thinking I can't do anything mechanical and now I'm focusing all day every day on inventing things to improve my motor skills and practice pretty much every independence tasks every chance I get now I want to go into manufacturing design and build and design orthotic braces for a living
    2
  37642. Once again.............truly great insights !!! Please make a similar video specifically for online Math courses. Please !! Many people including myself are pursuing an online Math major. Please help us out Math Sorcerer. By the way.....absolutely phenomenal in class Calculus videos....Unbelievable !!
    2
  37643. How to end the world? Divide by zero.
    2
  37644. You are such an angel. My Savior from these monsters. Really a great demonstration. Love from Pak <3
    2
  37645. Just came here to say thicc
    2
  37646. Master, I am Brazilian. I want to follow your channel and would like to ask that the videos be subtitled in English.
    2
  37647. good advice. Thanks :'D
    2
  37648. This is very entertainment, so push the limits for example I feel myself like son goku.:)))
    2
  37649. The thing about matrices is that, at least as we start it off, draw them BIGGG! I do agree with ma on this. She's been out of math for decades now but she got some sense haha. Have some nice space amongst the entries! Also, the figure out those arrows or separately write the operations you do to feel more comfortable. Really not in touch with Matrices like I'm with Calculus and Algebra, but that's just about it anyway. Like always, "a number of papers, pencil, eraser and sharpner" better be the closest peeps you can ever have!!! And hey, I liked that Schaum's outline of Differential Equations, 4th edition, you referred to cause dad reminisced his days :)
    2
  37650. Hey fantastic video! I would like to see more videos where you try to prove things on the spot and take us through your thought process like in this video. Have a nice day!
    2
  37651. Hello! Thank you for sharing! ;)
    2
  37652. Nice video! I love physics, this is definately a tiny pieceof history
    2
  37653. Dummit and Foote is also a solid choice.
    2
  37654.  @TheMathSorcerer  Thank you for this video.
    2
  37655. Wonderful. Thank you.
    2
  37656. When I was about 20 I deduced that there must be 12 universes touching ours, and then I learnt later that newton deduced the same thing based on his work in stacking spheres
    2
  37657. I don't know how to properly thank you for posting these videos.
    2
  37658. Do you know sorcery?cause you look like sorcerer
    2
  37659. I think you may be one role model.
    2
  37660. Great video nicely explained
    2
  37661. Thank you so much!
    2
  37662. Same here, 21, by the end of this year I'll have turned to 22 got to the UNI this week and I feel so dumb, I barely understand a thing and I could tell you how frustrating it is when you see fresh Highschool graduate teenagers participating and answering Pr questions. I thought that I'm the only one who feel that way! Thank God LOL But you know what, I don't give a damn I'm a self-taught at the end I can do it and beat them all quietly in the exam, who cars about answering Prof questions! I don't get it until I'm back home. Thank you Prof for your videos and thank's to all the comments people I really feel so good and confident.
    2
  37663. The 4 people who downvote this didn’t want mathematical happiness. Happy math everyone and a happy new year
    2
  37664. Real question, why does he look like Danny Carey if he didn’t play drums and instead focused all that energy into becoming an excellent math professor?
    2
  37665. Sometimes I listen to white noise with my headphones to block out the distracting background noises. It has a very calming effect.
    2
  37666. i may have an interview at a university soon your videos give me motivation awesome
    2
  37667. I need something like that for measure theory!
    2
  37668. But it's not available on Amazon😭
    2
  37669.  @TheMathSorcerer  On the same topic, how do you feel about teaching mathematics in the context of programming languages (thus, in a applied approach). I like the idea of knowing the nuts and the bolts first, before applying anything but perhaps there are more effective ways? I was blown away by a video about Julia (a programming language) where Alan Edelman was saying how "automatic differentiation" is done using linear algebra concepts, rather than putting in differentiation rules into a computer. I suppose Numerical computing is a beast of it's own, but it makes me feel a little small while I scribble math on pieces of paper.
    2
  37670. I admire your determination. dedication and skill set. Try to take frequent breaks for hydration, eating, and exercise. Stay the course, and you will accomplish your goals. My best wishes for your success.
    2
  37671. I'm hoping to pursue a degree of technical education in electrical and electronics engineering. I love engineering and I love teaching. It's a mixture of both❤
    2
  37672. Heard my thoughts in u r Wordsssss....... Thank you👍
    2
  37673. Thanks a lot man
    2
  37674. Thank you. It's wonderful review.
    2
  37675. Which video games do you play? :)
    2
  37676. Another popular book that came around the same time as the Thomas book was the THE CALCULUS WITH ANALYTIC GEOMETRY by LEITHOLD. It was once called the bible of math majors. It was the popular book for math and engineering students when I was in college more than two decades ago. On its 7th edition, the title of the book was changed to TC7.
    2
  37677. Love your content❤sir
    2
  37678. I started to get interested in mathematics when I found a book on plane geometry. A book that he built and deduced everything else from the axioms. For me, that axiom and deductive structure was something new, an elegant construction, where each new element was based on the previous one.
    2
  37679. In Brazil, there is a very famous collection of mathematics books. There are 11 volumes, covering all high school mathematics. Each volume deals with one or two subjects, for example, volume 1 deals with sets and functions, volume 9 plane geometry and even has a volume only about calculus. Here a link to a picture of a pile with all books: https://images.app.goo.gl/UeqFPx9FSvb3bz1k9
    2
  37680. I just took a quiz yesterday my first complex analysis quiz. I got a 29/30 and I had a question sorta like that. It was like the fourth roots of 8-8root(3)i
    2
  37681. I like your costume ♥️
    2
  37682. As someone who wanted to be mathematician and a math enthusiast, i thought what he was talking about was always known , people who are good at math get concepts faster ( there could be so many reasons behind that) I have had perfect math grades wothout opening a math book at home or studying for exams
    2
  37683. I needed to hear that thank you❤
    2
  37684. What resources I can use to help me pass the statistics test with a high score?
    2
  37685. I'M THE 100K LIKE OMGGG
    2
  37686. nice bird！
    2
  37687. What happened to the book review videos? The topic of this channel seems to have changed.
    2
  37688. Is this also good for highschoolers who are in calculus 2?
    2
  37689. damn i love this
    2
  37690. I don't think that it's a good thing that those books are so hard to work through. Where's the benefit in that? For context: I 'only' have a bachelor's degree of honours in Computer Science, but what I say probably applies to most of STEM academia. It is always hard to acquire new knowledge and learn new patterns of thought and new principles. I don't think we should have books that make new topics even harder and less approachable, rather the books we use to teach the next generation of academics should be accessible and pick up the students where they are instead of giving them near impossible hurdles to clear. It is much more rewarding to learn bit by bit with exercises that connect what you already knew to what you are learning than to work hard and not understand everything clearly. Clear understanding is the key to taking the next step. We need simplicity, not complexity. Now, while I strongly advocate for more simplicity in teaching, I don't mean to say that we need to be less rigorous. On the contrary. But one can only teach clarity and rigor if one can explain something clearly without compromising on the facts along the way. Why not use the metaphor of an onion to teach recursion? (<onion> ::= bud | (<onion>), or in words, an onion is either a bud, or an onion with another layer around it.) Make the students smart thinkers with a global understanding, not hard workers with muddled thoughts.
    2
  37691. Thank you sir for this advice
    2
  37692. Physical exercise has shown to increase neuroplasticity. Keep your body on check and your brain will thank you also.
    2
  37693. ❤️
    2
  37694. clean high definition of concept
    2
  37695. Hello, The Math Sorcerer, I am sophomore and i am taking pre-calculus next year what would be a considerable book choice ?
    2
  37696. i know this video is 4 years old by of course, IQ tests measure how much of math you have as a part of your intuition, practicing Math can make Math part of you intuition too, it just makes you "smarter".
    2
  37697. I think you are gonna save me. I will come back if I’m saved.
    2
  37698. Very useful video
    2
  37699. Bro looks more like Jesus than Jesus himself
    2
  37700. You deserve more subscribers!
    2
  37701. Holy shit. That was my actual textbook for my Calc class lmao
    2
  37702. I really loved how you didn't check the root that's a fraction cause god knows I wouldn't have too XD
    2
  37703. thank you so much, ur a blessing
    2
  37704. thanks mate, got me and my mates out of a sticky situation at school. Love from Australia
    2
  37705. Nice video
    2
  37706. Teacher is hard is different than teacher is a bad teacher.
    2
  37707. very helpful and easy to understand
    2
  37708. I generally have Cedric Villani as role model. There is no real role model I can identify with, because only few mathematicians have ADHD. When I studied math, all I could think about was science; I thought i'm a philosopher back than, but that wasn't the real deal. I took long walks, thought a lot. Looking backwards, my thinking exploded like cellular automaton; wrote a 50 pages research. Today, I'm poor, got misdiagnosed as schizophrenic. Cured myself with probabilities, what is probably impossible, I received help from several people, such as, my twin flame Claire Lehmann. Ramanujan had these crazy math skills. Role models are a good hint, but generally speaking, hard to identify: you make a good point. They have fun. They enjoy it. When I found patterns in the Collatz Conjecture, I couldn't really enjoy it. Other times, I can enjoy it. You might get this; I'm probably a successful entrepreneur. Investors; Khosla Ventures,... We cured my trauma the hard way, increased resillency since this is the best predictor of a happy life in ADHD. Today I'm happy. I plan to meet my twin flame this year. It's an AI based trauma therapy and other applications I worked on for the last 4 years. Getting a misdiagnosis for schizophrenia was probably best thing to do. You can response in videos, I will write you comments as we figure out how to make me do math; quasi probabilistic. Role models: Nassim Taleb, since I rediscovered Antifragile age 20 and we are really similar. Focus on risk, fat tony, uncertainty,... And the father of Ada lovelock (but he was a poet, it's speculated that he was similar to me - ADHD, risk taking, school failure, highly intelligent). I hope you help. The internet didn't want to help me, yet, I receieved help from silicon valley. No one responses, part of what we call the experiment.
    2
  37709. Does math really has an end? OMG!
    2
  37710. Hey bud, if you have some initial problem values like y(0)= 1 and y(1)=0, how should i proceed to find c1 and c2? Can you help me with this? .-.
    2
  37711. Best Math Sorcerer ever! Can you do a lecture on path connectedness it's really rare on Youtube :( But thanks for the super duper cool Work!
    2
  37712. Merry Xmas!
    2
  37713. First
    2
  37714. Whoever blinks first loses!
    2
  37715. I was felling sad for this but getting this video..im pleased thnk u ❤️❤️
    2
  37716. My math professor actually does frequent the local bar and 100% will have a beer with students
    2
  37717. One of the best thing is to make lots of exercice. It's the way to identify what you think been understood, but not, leading to further difficulties.
    2
  37718. I noticed that you offer some courses on your website. Is there any particular order to take them? I am interested in writing math proofs.
    2
  37719. Nice
    2
  37720. You're awesome!
    2
  37721. Get +three books by different authors on a particular topic and level. Each author will present and explain the content to their own style and language. By having the same thing explained in different ways, helps 'triangulate' to an understanding.
    2
  37722. thankyou sir!
    2
  37723. I have been attempting for a long time to educate myself math. I learned alot apart from subject matter but why many of us struggle with math by tutoring lower level college math courses. I agree with virtually all you have enough said. Many of the math videos on YouTube are accessed by students looking for answers. Also, math requires quiet time, concentration, and consistency in effort to get traction and continuity. When I worked at the Transportation Security Lab of the Department of Homeland Security, I saw how destructive quickly packaged internet information can be. Several of my colleagues, managers, the director, and executives at TSA were seeking a solution to rapid turnaround for evaluating passenger screening detection systems. They were committed to an adaptive sampling strategy that one can find in the internet based in simple random sampling. The problem was that virtually none of their sampling was simple random sampling, as they scanned mock passengers, luggage bags, and the same bottles more than once. They did not realize that they were violating simple rules of randomness and sampling. I had at least an MS in statistics and attempted to reason with some of the managers and executives. For my efforts, I was declared incompetent. There were egos, commitments, ranks, and the false sense of security of "knowledge" gained form the internet. What followed was 8 years of chicanery that revealed the narcissism that existed at all levels of DHS and particularly TSA. They would rather apply inappropriate methods and apply control measures than to do the right thing. The shame is that they impeded progress on potential strategies that would have otherwise benefitted the flying public. The lesson is that starting from a preferred conclusion and surfing the internet for math or statistical methods is not how science is done. Even 8th graders know that. As the Math Sorcerer said, choose the right level (maybe review at the level you last left off), by multiple books, and work as problems as you can. As he also alluded to, be honest with yourself along the way.
    2
  37724. I'm finishing up my math undergrad this spring 😁 What you covered in the video very closely matches my course of study. Just switch out abstract algebra for number theory and you've got my degree!
    2
  37725. Yessss. Another book review!!
    2
  37726. what a great teacher this man is thank you
    2
  37727. Dr. G.!!! How cool to see you on YT!! ❤😁
    2
  37728. If jeff Bezos never invented Amazon.
    2
  37729. Cheating: \Gamma(2)=2!=2 Proving properties of the gamma function is really fun though.
    2
  37730. We have a math joke or drawing as a mark on our tests, but it's a required mark so if you opt out you lose marks 💀
    2
  37731. Is that Jeff Bezos with a wig?
    2
  37732. Somebody tell this to my physics teacher😭😭😭😭
    2
  37733. For those who are serious about the subject, "General Topology" by Ryszard Engelking is the best. Very solid and very complete.
    2
  37734. A multiple but it look so real I am a bit late i can understand so much from this sense
    2
  37735. Whenever you smell books I know I’m on the right channel 😂. I’m taking trigonometry right now at the same time as college algebra and it’s making me fall in love with math. I can’t wait to see where it overlaps with calculus next semester!
    2
  37736. THANK YOU SIR!😊
    2
  37737. Oh boy!
    2
  37738. Smells good huh. You know that smells is actually by product of different splattered saliva, from various hundreds of students when discussing and talking accumulated overtime, fermented. Congratulation, you just added yours
    2
  37739. 🎉🎉🎉
    2
  37740. 😂😂
    2
  37741. Most passionate vid ever! :v
    2
  37742. thanks for making this video !! You helped me a lot.
    2
  37743. Books. I can relate!
    2
  37744. Thank you sir
    2
  37745. Good
    2
  37746. Idk kinda like Walter rudins book
    2
  37747. Great! thanks.
    2
  37748. They learn faster than you because they are smarter than you :) They need less time to learn We do not want to except that someone is smarter than we are :) We this does not mean that you can not become smarter than they are. Yes you can but you need to work harder.
    2
  37749. 100 years old book wow
    2
  37750. Hi. What do you think about Real Analysis by Terence Tao, Royden and Abbott? Are these books enough for self studying Real Analysis? Also can i self study proofs from Jay Cummings Proof Book + Hammack Proofs?
    2
  37751. Then word problems be like: If Billy has 3 cookies and then gives half to John, calculate the number of bananas that can fit in a toaster on Jupiter, if the wind is 12 MPH, in Eastern Russia.
    2
  37752. Yesterday my 12th grade Math exam didn't go that well because I was a bit slow. I learnt that I need to work on my speed. Thank you for the video.
    2
  37753. Don't forget biochemistry. If you are low in iron, your ability to learn is weaker! https://www.webmd.com/children/news/20010620/iron-deficiency-can-hamper-kids-learning-performance#1
    2
  37754. excelent video, thank you very much
    2
  37755. Question: I am from Germany and plan on studying math as a major at the LMU (uni in Munich). Here math starts with Analysis 1/2 and linear algebra 1/2. We don't do caculation math or even an introductory class for proof writing. You are supposed to pick this up along the way. The content of Analysis 1/2 is equivalent to baby rudin, with Analysis 3 and complex functions in 3rd and 4th semester you are at least on a level with papa rudin. This is undergraduate level here. Compared to the speed of US math major this seems a bit tough. How can you possibly prepare for this? Do you think having quite literally no transition phase from highschool math to pure math is sensible? Imo there should be at least 1 semester transition where you learn basic proof writing!
    2
  37756. Dude, the "homework is good to do" is my calculus teacher right now. Also, I failed a take home math test. I haven't taken a math class in 15 years. This semester has been like the Millennium Falcon flying out of the second death star. Why 😭😭😭
    2
  37757. Hi MS, can you review this excellent little book: Special Relativity for Beginners: Jürgen Freund by World Scientific.
    2
  37758. Thanks in advance for your advice. You made a very realistic point and this is the fact that we only have this one life and we should not waste it. Sometimes we forget that we are not eternal and that we can lose our lives at any moment, so this should be enough fuel to motivate us and live each moment as if it were the last.
    2
  37759. Which college is this?
    2
  37760. If I had to guess, Seminole State College of Florida. Only because I took one of his classes once.
    2
  37761. Seminole state college of Florida, last time I took his classes they were at the sanford campus. I had him for calculus 1&2 and D.E. he is very good at explaining math problems and always willing to help you out. His classes are always filled with energy.
    2
  37762.  @TheMathSorcerer  I wish I was there to take more math classes with you!! Loved all the classes. Glad to see you have videos now of you doing the math problems on the board.
    2
  37763. I disagree… strongly…. Failure kills more dreams than doubt. But often, modifying a dream during a failed attempt will sometimes succeed. If you are arguing that practical tempered optimism is the only reasonable procedure to offer chances of success, then ok; but to assert that doubt kills more dreams than failure seems unjustified. For example, at least millions of people have wanted to be astronauts on a space mission, but less than a thousand people have gone, in 60 years of humans going to space. Or how many mathematicians have tried to be ‘the one’ to prove Fermat’s theorem or the Riemann hypothesis, and lived out their lives without even vaguely coming close? [There are a hundred million narcissists out there, all of whom think they should be the one to rule the world, but only two people in all of history have come anywhere close to doing so.]
    2
  37764. My gift has always been art, but my interest in maths is growing as too physics, electronics, programming, etc. When I pay attention to things, I quickly get hooked to learning. In school, I paid very little attention to classes when my concentration was low at that time. I simply lacked discipline for learning. Now I have formed good studying habits. I have learned discipline too. What do I need maths for? In 3D realism (in software Blender), I would love to write badass maths into rain, thunder, lightning, snow, fire, floods, etc — all those physics simulations. Pity, I am not too well up in mathematics or physics, but I am determined to learn.
    2
  37765. Lots of people don't learn not because they are dumb, but because they don't know the step-by-step of it. Teaching how to learn is more important than throwing random content on untrained learners. Great tips, thank you kindly.
    2
  37766. Birde
    2
  37767. Wow! A real old book!
    2
  37768. Calculating curvature gets really important when you're working with parametric curves like Bezier's or b-splines. Got to equalize the derivatives where they join if you want it to look smooth.
    2
  37769. I'm 56 and re-learning calculus, and studying Python programming, management, electromagnetic compatibility, etc. I read for about an hour to two hours per day, almost every day.
    2
  37770. thanks jeff bezos for your advise on your busy time
    2
  37771. So inspiring to read the comments. Thank you for sharing your experiences. You are beautiful minds.
    2
  37772. ∞
    2
  37773. It's so funny, I would never had guessed in my teens, that I would be voluntarily watching a maths video when I grow up :D It's funny, I hated maths and my second official language studies (Swedish) the most when I was in high school, but I just recently bought a book about the Swedish grammar and a book about basic algebra. It's funny how your perspective changes when you grow up
    2
  37774. Greetings Math Sorcerer. Im going to solve the Riemann Hypothesis.
    2
  37775. My work is a little more focussed than Knuth's. Knuth wrote a chapter on random numbers. I wrote a whole book on random numbers. If I were as smart as Knuth, I might have written a few more. But I'm not. Of course the bigger link with Knuth is that I wrote the book using LaTeX.
    2
  37776. you call this "rushed"?😭 Anyways,this video really helped, thank you so much! But I'm still getting the hang of this topic(I'm not good at maths), I need a few more examples so I can also explain this to my classmates(I was assigned to report this😭)
    2
  37777. "You will be mistaken as a pilot" adds to cart
    2
  37778. Hello Mr Sorcerer, I do not know if you like this name. I want to ask you about a topic, I could not understand it enough. The course of mathematical physics, I heard from the master students that they are studying this course, and struggling with it. When I skimmed through these books, and read the preface of them, I read that they cover all the undergrad math needed for physics, and this is the same courses we study in the undergraduate level. My questions is: - When can I study this course? - What is the difference between this course and the undergraduate courses?? Like Larson calculus and linear algebra, the differential equations courses which is 450 to 700 for each ordinary and partial ones. - if it is the same as what we will study in the undergraduare school, then do you recommend to study them with our courses or after them, or even before our curriculum?
    2
  37779. Gorgeous !
    2
  37780. thanks!! this really helped :)
    2
  37781. Thank-you. Very enjoyable to see the mathematical process in action.
    2
  37782. Thanks for clarifying the solutions at the back of the book thing. I am enjoying Basic Math. I find the exercises include easy and hard problems.
    2
  37783. I wish somebody had taught me this when I was in college haha.
    2
  37784. Thanks dude
    2
  37785. Great vid! I am definitely not going to give up on my honors analysis class 💪💪💪
    2
  37786.  @TheMathSorcerer  thanks! Without a doubt, the notorious baby Rudin. I think most of the universities in the US use baby Rudin for their honors analysis class.
    2
  37787. Thank you!!!
    2
  37788. Marine Biologist, who holds a PhD here..but i want to learn mathematics!
    2
  37789. I REALLY like this topic. Watching eagerly .. love the intro
    2
  37790. I love math but it has always been a challenge for me. So I have to really invest the time and effort. It has always been a challenge but I don't mind because I enjoy doing it. As I got older however the most scarce commodity is time. I still do math for pleasure but at a slower pace.
    2
  37791. So...i went over to wikipedia to check out lemma of Zorn....hmmm tf is a lemma
    2
  37792. Thanks you really made my day
    2
  37793. Duplicate copies are available in India.
    2
  37794. Nice video. TQ
    2
  37795. Calculi of knowledge!
    2
  37796. Could you please make a vdeo about calculators, wich ones you would recommend?
    2
  37797. Mathematics is not easy. It's not SUPPOSED to be easy. Math is our best construction we have as humans. Math IS our technology, our way of reasoning complex problems and our capacity of abstraction. Math is hard work, a good endeavor, a humble hobby, a great exercise for the mind, a lesson of order and more importantly the search of aesthetics. This is a much needed profession. Our world revolves around it. It's a good on going exercise. I always purchase old books about mathematics, physics, architecture, structural engineering, and parametric design.
    2
  37798. Thanks 4 the sol, Im BME student in Mexico, we need more teachers like him, greetings!!! 💪🏼💪🏼💪🏼🇲🇽
    2
  37799. there are also several books from the "Mir" publishing house of the former soviet union
    2
  37800. In german engineering math classes there is no students with As in math classes lol. Okay maybe a couple
    2
  37801. Rudin's book is not of the same level as ' Abbott' and the advanced calculus books. These last three are in a level way below the Rudin's book. Rudin's book is a "baby book" in real analysis, one of the hardest courses in math.
    2
  37802. Can you make partial differential equations course on udemy? I cant find any good online course
    2
  37803. Truly funcs!
    2
  37804. Shalom and howdy evening Mr. Jedi MS and everyone. I have never heard of this book.
    2
  37805. Where is Nikola Tesla in the photo?
    2
  37806. Geat video
    2
  37807. 8:27 9:27 10:55 28:14 28:47 36:15
    2
  37808. I am a french Math student and i have no Idea where my level is, probably in the end but the system you have to name the topic look smooth, great choice to start by some proof i think
    2
  37809. trim your nails
    2
  37810. Very helpful.. thank you!!
    2
  37811. Absolutely excellent content 10/10
    2
  37812. I always beleived they should teach applied math in school instead of pure math starting in middle school.
    2
  37813. what has also helped me is to study first thing in the morning. the day is so much better having already accomplished something
    2
  37814. i found doing an actual university course in maths forced me into consistency. I would never have done it with myself as the boss. formal study just like the army puts you into gear.
    2
  37815. It's not sunshine and mellows on the other side too. You can make friends ,get betrayed ,taken for granted and you regret socialising at some point in life. Books are better. You are doing alright.
    2
  37816. Very nice 😊
    2
  37817. I prefer to do dance workouts for about 15 minutes each day and at least 90 minutes of walking each day. I don't know anything about bodybuilding except Mickey Hargitay had a interesting life He was a bodybuilder somehow ended up employed by Mae West as a performer in her Las Vegas Show then married Jayne Mansfield. As for eating healthy, I eat lots of vegetables, lean cut meat or fish, not many sweets like cake. I limit myself to one egg a day because of the cholesterol. I don't bother with any special diet. I just eat and hope the dancing and walking will get me into shape. I
    2
  37818. Tip try vedic math to keep you busy in math
    2
  37819. I'm not sure this one was mentioned: I love it when my teacher leaves every damn inference of the proof as an exercise.
    2
  37820. Now this is a book RECOMMENDATION!
    2
  37821. Do u have a link to show those books and what its content is and how to get them available or easy to get. Thank you
    2
  37822. Please review these , if you don’t mind. 1. Mathematical analysis by Apostol 2. Introduction to calculus and analysis by courant and John ( two volumes) 3. Advanced calculus by D.V Widder
    2
  37823. Thank you for the video.
    2
  37824. For beginners is excellent.
    2
  37825. I hope so
    2
  37826. University math exams be like : John has 4 apples. Using this information, calculate the mass of the universe. No calculators.
    2
  37827. Nice and not so difficult. In Germany, we call something like this a "Steckbriefaufgabe". Steckbrief = wanted poster , Aufgabe = task .
    2
  37828. Listen to Kraftwerk!
    2
  37829. thank you so much now I can do the whole section
    2
  37830. this makes me appreciate my calc 3 professor so much more
    2
  37831. Estoy apunto de hecharme los dos paquetitos jeje. El libro de Cálculo de Spivak y su solucionario, ya casi junto el dinero :) pero no he encontrado ningún review en YouTube hasta ahora que muestre el solucionario. Espero poder verlo en YouTube antes de poder comprarlos. Saludos :)
    2
  37832. This man is heavensent
    2
  37833. awesome video, keep it up!
    2
  37834. In my college, we use the same book as you recommend, I must agree, it's the best readable book I have/had in any math classes
    2
  37835. planning to read either spivak or apostol after studying stewart. which one to pick?
    2
  37836. 😂 in India we will solve such problems in a second
    2
  37837. My studying habit, I always have my memo block (3" x 3") for scribbling rough notes, study diary, pinboards, oversized blank p(approx. 3" x 5"), clock/egg-timer, cups of weak tea and snack. Some people ruin the pages of their beautiful books with pencils or highlighting pens. Meanwhile, I keep books clean and pristine by using bookmarks with my scribbled notes. For bookmarks, I take blank paper slips of A5 size or smaller and upon them, I write summaries, glossaries, examples of math problems & solutions, task lists, etc. Thereafter, I insert bookmarks inside vital pages. Years later, I can sell old books that look clean & saleable; alternatively, I donate them to local libraries or give away as gifts.
    2
  37838. Ah, now this I have some experience in
    2
  37839. Joe Rogan's podcast (powerfulJRE) with guests like Mike Tyson (dude's a very thoughtful person, many don't even realise) , Dr. Rhonda Patrick, Dr Debra Soh, Elon Freakin Musk (simply saying Elon would be a disrespect 😅) are that podcasts that just simply bring me joy. We humans live in a bubble of our own thoughts, it's good to get the perspective of great minds every now and then. Joe is such a better interviewer than all of these "professional" media personalities, it's not even funny. Also, may I please request a video on Tensor calculus, it's prerequisites and it's recommended books. I'm sure that would help many engineering and physics students.
    2
  37840. very instructive, thanks!
    2
  37841. YouTube recommend me this video
    2
  37842. Lol😂
    2
  37843. 🧙‍♂🪄
    2
  37844. Sir focus most importantly on 12th class mathematics to learn mathematics and master it
    2
  37845. The Math Sorcerer I just bought the book at €7 including delivery. It was second-hand. Thank you.
    2
  37846. Before ordering Susanna Epp's book, I had hours earlier spent much money, ordering hundreds of blank bookmarks and art materials. I'm going to paint them and sell them in a relation's shop. Hopefully, they sell, my fingers crossed.
    2
  37847. The Math Sorcerer My copy has arrived just today. I love the book very much.
    2
  37848. This is the first time i have watched your video ...thanks for the good content...all the best...( Subscribed 🎉)
    2
  37849. This is just a theory, but I feel that if you are able to make sense of algebra, analysis will be a breeze, but even if you are good at analysis, algebra will take the same amount of time to get good at. I'm still waiting for all the group theory I learnt to "click". It is super cool though :)
    2
  37850. Did ma man just low key drop a life advice?
    2
  37851. Nice!
    2
  37852. Learn from your failures AND learn from your successes. Also learn from other's failures and successes. Not everything has to be learned the hard way.
    2
  37853. Great advice... Thank you very much...
    2
  37854. THE BIRD
    2
  37855. That Dover book is in very good condition to have been owned for years.
    2
  37856. I felt attacked when he said "And we all know who that was"
    2
  37857. wonderful explaination.
    2
  37858. With that expression in the face, it's rather EAT LIKE A BEAST 😬😬😬😏
    2
  37859. Thankyou.
    2
  37860. Thanx
    2
  37861. 6/3/25.
    2
  37862. sorry, I slept half way through the video... just remembering math lectures made my sleepy
    2
  37863. Thank you, this was a good reminder today and it broadened my perspective Also, I was out in the woods today myself!
    2
  37864. This game me a traumatic flashback to calc 3
    2
  37865. I'm looking for just the first four on Amazon and I absolutely cannot find anything under thirty dollars. Where are you finding the cheap options?
    2
  37866. Sir please call about your education qualification i am maths lover
    2
  37867. Thank you a lot, i needed a video like this
    2
  37868. Cool perception dude!
    2
  37869. first comment !!!!!
    2
  37870. The more videos I see about abstract algebra, the more I want to learn it. Thanks for the video. 👍
    2
  37871. Thx!
    2
  37872. Must say hammack’s book is very well !
    2
  37873. 👍
    2
  37874. I'm currently reading Linear Algebra Demystified by David McMahon. Lots of practice examples. Probably more for engineers, like me, than mathematicians. Less proofs, more practical application. For anyone else that sees a proof and says, "Now what does that prove again?"
    2
  37875. This book is amazing, where and when did you acquire this?
    2
  37876. thank you for your efforts
    2
  37877. Ah so you want to learn math? Great, lets start you out with diff eq! LMFAO
    2
  37878. Very well expressed. Doing mathematics is about combination of passion and persistence. We have to take failure and disappointment into our stride and keep trying, keep improving, keep enjoying.
    2
  37879. I miss the energy of youth but not the confusion. The kind of math that interests me falls under the applied space (comp sci, eng, physics). It doesn't seem any easier or harder now then in University but the ability to commit long periods on a daily basis is constrained as an adult. Life interrupts hobbies. A's in University for the first few years of Math seems to be mostly about working lots of problems and understanding the kinds of silliness that they are going to throw at you in the exams. This often took precedence over understanding Mathematics. I always thought that was a shame. A curriculum that teaches understanding rather than focusing on mechanics and problem solving always seems so much more produtive.
    2
  37880. Nice one hahaha
    2
  37881. "Its okay to give up sometimes strategically"
    2
  37882. i love you
    2
  37883. The funny thing for me is becoming quite adept at mathematics in my 20's and 30's then I ever did in class and with most school books. I've always loved math and been fascinated by it, I just never was able to become good at it until now.
    2
  37884. Work and online classes so hard😭 atleast I have you as a professor😁
    2
  37885. nice
    2
  37886. Great video
    2
  37887. Thank you sir🙏🙏
    2
  37888. Sir I may be wrong but was it also necessary here to show that it was a bijective Function?
    2
  37889. ❤❤❤❤❤❤❤👍👍👍👍👍
    2
  37890. This video was very interesting, thank you!
    2
  37891. Hi, Really appreciate the videos. I have a midterm soon and this helps a lot. Do you by any chance have sections 1.3 and 2.1 recorded?
    2
  37892. Thanks for your advice. I am 67 and freshman in Healthcare. I feel like going to highschool again. Figures do not lie, but liars figures😏. Since cheating is not my thing, I applied your advice. My stress is less than before, and my interest in getting to cope with the programs is greater than before. Awesome advice, 😎.
    2
  37893. Oh my gosh after watching ur video m so so so good a mathumatics not maths before I got zero in exam but after I got two zero 00 amazing🤔🤔
    2
  37894. omg tysm
    2
  37895. And tomorrow is my math test 😑
    2
  37896. Jealous of your book collection ❤
    2
  37897. "Gödel, Escher, Bach" ~ Douglas Hofstadter
    2
  37898. Funny, I saw this book a week ago in the library. I remember picking it up and considering buying it, then like a fool I put it back.
    2
  37899. I love to do maths in this kind of ambiance. Many thanks for sharing.
    2
  37900. Great video ^^ Thank you for this.
    2
  37901. So the reason Jeff bezos stepped down was just to teach math on YouTube
    2
  37902. Modern day genius here, good video 😈
    2
  37903. Not knocking books that have answers at all, there should be a lot more of them with EVERY answer, not just the odd; but very often, having the answer doesn't do much without knowing the 75 steps needed to see how the answer showed up in the first place. In those cases, I think the answers are more for the teachers than the students. I wouldn't worry about not seeing the answers in the back of that particular book, the fault lies more with whoever didn't put that in the table of contents.
    2
  37904. Nonlinear ODE in x Nonlinear ODE in y Linear ODE in x Linear ODE in y How would I know if it is in x or y?
    2
  37905. Terence Tao had the best explanation of the intermediate axis theorem( Tennis racket theorem).
    2
  37906. I only failed calc 3 throughout my life. Every time I was walking to that classroom I wished a bullet would hit me. That professor is the embodiment intelectual elitism. Still loved Calc 3.
    2
  37907. Learning math is very rewarding too.
    2
  37908. All I am gonna say is F*** Infinite Series
    2
  37909. Could you do a review on Principles and procedures of statistics : A biometrical approach by Robert GD steel and James H Torrie, please?
    2
  37910. Everyone in this class fail lmao 🤣 the students went to the tutoring center they close for the rest of the year.
    2
  37911. I heard "integral"....I think.
    2
  37912. Do you live off the grid? I want to be like you when I grow up! 😭
    2
  37913. Sorry if you have already talked about this book but what is your opinions on Calculus by Spivak? It is sort of a book on Analysis for beginners.
    2
  37914. also I saw you click on your ability to level it up, if you did not know you can actually hold control and then click on the ability using the keyboard, say if I wanted to level up my ult/r I would do ctrl+r which is what all the best players do since it can be tedious to level up something by clicking on it, say if your in the middle of a skirmish
    2
  37915. Cool, I count uppercase and lowercase as different characters so I get 7,862,400😎
    2
  37916. New subscriber here. I really like your content; you always present something insightful. Trying not to sound pedantic, but the idea that we use a small portion of our brain is not exactly true. https://www.scientificamerican.com/article/do-people-only-use-10-percent-of-their-brains/
    2
  37917. Thank you
    2
  37918. really u are very inspirational u make me realize maths isn't out of my league and is actually a beautiful language
    2
  37919. I subscribed to your channel several months ago, and this 8 minute video really inspired me. What are the benefits at the monthly $1.99 level?
    2
  37920. I have a BS in math and have about half of those. Memories.
    2
  37921. I’ve come back to get that beautiful timer :)
    2
  37922. I'm 48 and am starting back at Math just for the sense of accomplishment.
    2
  37923. This is awesome....I'm so glad I stumbled over this channel cause I'm at point where I needed such tutoring. Thank you so much.
    2
  37924. ❤❤
    2
  37925. Can you do a Video on "How to decide what Formula or Method or Procedure to use for Solution of a particular Math Question?
    2
  37926. This book is real good
    2
  37927. What is this used for I never hear of it before
    2
  37928. Thank u Sir
    2
  37929. I'm from Mexico, and I'm starting to study for the test application for college, and using your videos to motive and learn how to study, I hope I can get it
    2
  37930. can you make a video about how to take math notes?
    2
  37931. It's not only time, or hard work, or talent. It's also the way math is presented. Nowadays it is all abstract Bourbaki style. But funny enough that's not the way many mathematicians do it themselves when thinking about it. The are dishonest, because they work with different motivations and usually much less abstract, they use sketches to illustrate ideas for themselves, they have some picture in their minds, they play around. And when they got to their result, they start to clean it up, they make it more and more abstract, they skip the pictures, they don't mention their motivations, they make every attempt to make their articles more dense and...at the same time...much harder to understand for any one which is not a professional mathematician himself. One clearly sees the intention to do so, if one compares math textbooks from the 19. century to modern ones. It is totally different.
    2
  37932. Too late hahaha
    2
  37933. Would you have a recommendation regarding lack of confidence in math? I am 26 years old and trying to apply to an electrical engineering degree. I was a really crappy student and was generally overwhelmed with how other people picked up math around me which contributed to my lack of confidence in math .I understand that it was due to my lack of hard work back then , and I have really improved latley to be honest ! but still sometimes a lack of confidence crawls in and takes over and I can feel that it affects my problem solving skills and motivation . any advice? :/ Also ,if someone is having trouble finding a quiet space to study , I recommend investing in a quality pair of noise canceling ear plugs or earphones , they really do help :)
    2
  37934. Well that's not a number. That's an expression.
    2
  37935. Wow .. , this is enormous! , exiciting ! Incredible. This is immense WW2?! Amazing .
    2
  37936. Maybe they seem smarter because the US can cherry pick the best and brightest and the students who come here aren't representative of all students in their home counties. Is that a stretch?
    2
  37937. Umm... just one thing: Gauss is pronounced, "gowss," not, "gahss." Excellent video!
    2
  37938. I guess you meant the feeling of being fed up and unable to take it anymore?
    2
  37939. You seem like such an awesome teacher!
    2
  37940. Thank you for keeping me from falling into imposter syndrome.
    2
  37941. love the title man, nice video as always #maths
    2
  37942. Thanks for spending the time to create and share this content 🤙🏾
    2
  37943. I draw colourful posters of useful bits of information and stick them on my walls, so I have an easy way to revise
    2
  37944. Goosebumps? How? Lol, Math Sorcerer didn't pass away. He is alive and kicking here. Let's hope there will be many more years left in him, so that he will give more new tutorials.
    2
  37945. I watched this at 2x speed Didn't understand shit
    2
  37946. Thanks.
    2
  37947. I dont know about Calculus but it is worth looking into books writen by Belarusian professor Boris Demidovich
    2
  37948. Thanks
    2
  37949. I get Mathematical burnout and burnout in Physics almost once every week
    2
  37950. How can We buy this book?🙂
    2
  37951. Should i be worried if my calculus 2 professor said most of the sentences in this video 😂
    2
  37952. 18 people downvoted this video. I would be very happy to hear their reasons. What is it that they disagree, so as to give a negative vote to a man who is an expert on the subject and is taking the time to share with the world some interesting tips for someone to get better. What am I missing here? Come on people! Get serious please!
    2
  37953. You're the real goat
    2
  37954. Ayres is pronounced as airs.
    2
  37955. starting now
    2
  37956. it has been said that we dont know math, because no one knows how to teach.....math....can you say Jaime Esclante....
    2
  37957. Very helpful video. Thank you very much..
    2
  37958. Would you recommend taking AP math courses in high school even if you don't see yourself pursuing a career in math?
    2
  37959. ​ @TheMathSorcerer  I watch all your uploads, because you are such a positive person. Thank you, Math Sorcerer :)
    2
  37960. Man… stop smelling old paper otherwise you gonna wind up with some mold on your lungs. Leithold rocks!
    2
  37961. “We end up with the space time continuum and the end of the world” I understand now.
    2
  37962. The bird is trying to figure out how that giant egg got in its nest.
    2
  37963. Thank u alot
    2
  37964. ok. what are boxes above u?
    2
  37965. hey can u make a series about partial derivative for neural network and machine learning
    2
  37966. Calcullas 2 and 3
    2
  37967. I use maple at uni and it's actually pretty sweet. I enjoy using it.
    2
  37968. Great video! Thank you!
    2
  37969. ❤❤
    2
  37970. Cosplay as Jeff bezos
    2
  37971. thank you
    2
  37972. This video would've been very helpful 4 yrs ago lol.
    2
  37973. Jeff Bezos looks way healthier here after the plant medicine
    2
  37974. Ty🙏
    2
  37975. Super sir
    2
  37976. My favorite calculus book! Greatings from brazil!
    2
  37977. I have the Russian edition of this book xD
    2
  37978. I think that is a strange gloves...hahahaha..
    2
  37979. I’m watching this video five minutes before my test😀
    2
  37980. Your video was lovely and this stuff is really really neat. Would you be willing to do another video on mathematical notation like this?
    2
  37981. 9:36 http://c-faq.com/
    2
  37982. Love u ❤️❤️❤️❤️❤️🙏
    2
  37983. You look like an ally in a Celtic fantasy movie. You look extremely Celtic. You're a beautiful person. I feel like you would offer me shortbread cookies,, honey, yogurt, and tea on a shire in a meadow on Middle Earth or something. Thank you for this video by the way. It is extremely helpful.
    2
  37984. omg i love you so much thank you🙌🏼
    2
  37985. thanks for your videos, honestly it's true, i used to not really care about math but now doing calculus 2 i get like math inertia when i'm doing homework and don't want to stop.
    2
  37986. 1. Read. 2. Read more. 3. Read better.
    2
  37987. Sometimes you need to shut of your brain, switch to dumb mode and just do it...
    2
  37988. Of course grade do matter but they should not effect you in a bad way . for Getting good marks you have to give Time to your study and to yourselves just take it easy taking it slow isn't it a bad thing. and having good grades going to give you what you want, in what college you want you study .so keep studying........
    2
  37989. Your videos are motivating me so much to do math but Im done with my math exam for this semster so now I have to study the other subjects...Next semester I will be so ready to 'grind' math. Thanks for your videos!
    2
  37990. I really hope you could read this comment. I would ask/suggest one thing that has being bugging me in a while. I live in a place really poor, and mathematics in general is underappreciated. as result for lack of resources we've being in a cycle where people doesn't learn enough to get excited by this. I've being think in what Eddie Woo does. (Though he has done a little less over the years) But real world problems are really interesting. but may be interesting for engineers and scientists. what kind of problems could be use to inspire kids and teenagers to learn more about math? do you have any suggestions?
    2
  37991. Is practice alone gonna help with Calculus 1 and 2 or is there something more I have to do to crush calculus?
    2
  37992. That quadruple integral had me weak af lmbo!!!
    2
  37993. Does this dude ever blink?
    2
  37994. he's staring into my soul
    2
  37995. Thank you.
    2
  37996. Thank you so much for this video, it was super helpful
    2
  37997. Math Sorcerer's videos are so weird, my instinct says that this is just clickbait, but it always turns out that it's worthwhile watching and I was always glad after, that I watched them. Also the length of the videos are just right for expressing an idea and because of the structure and the complexity of how he explains it, I can always think about it myself while the video is playing.
    2
  37998. I forget things very quickly and iam maths graduate student from India do u have any solution..
    2
  37999. hi can you plz answer my question ? iam 17 i reallllyyy love math but i have average iq i dont know if iam goning to be good on it ... i really like to be math genius but i really dont know its iq / intelligence or hard work ...
    2
  38000. I feel very inadequate about my math skills and get anxious if I am not straight up able to understand or solve a concept/problem. I want to reprogram my understanding of maths but don't want to get lost into details (I tend to go into every little topic which may not be that important). What is the best first step and follow up to build math skills from scratch?
    2
  38001. U do that one in your head :-)
    2
  38002. just remember: math is a social construct 🥂🍨🌹
    2
  38003. ❤❤❤❤
    2
  38004. You forgot category theory! A good introduction is https://arxiv.org/abs/1612.09375 and then http://eugeniacheng.com/wp-content/uploads/2017/02/cheng-lauda-guidebook.pdf has excellent pictures. For topology, I like the paperback "Counterexamples in Topology". For optional fun, Conway's "On Numbers & Games" is amazing.
    2
  38005. I just got the 6th edition. I am taking Discrete Mathematics this term.
    2
  38006. Thanks for the motivating factor
    2
  38007. Phew, came here to make sure im not retarded, glad I could get some closure. serious note: this topic is discussed in malcom gladwell's "outliers" Brilliant book and it came down to several factors but one was TIME! The others you'll have to find on your own;)
    2
  38008. Would really love to see you review your other books from other interests on this channel. Some popular science books, biology books etc.
    2
  38009.  @TheMathSorcerer  thank you for the added intuition!
    2
  38010. Hello. You make me remember when i was a math student. Thanks you.
    2
  38011. Can you please do a video of learn physics,chemistry,biology,computer science,astronomy,space sciences,earth sciences,history,archaeology,art,philosophy,psychology,sociology,engineering(all branches),literature,linguistics,economics,buisness,geography,political science,logic,agriculture,architecture,law,medicine,military sciences from START to FINNISH. Note:if you know any video that made this list please send me a link because I need it.
    2
  38012.  @TheMathSorcerer  if you are serious so thank you very much and if you are joking so this is a nice one😅
    2
  38013. Great Explanation absolute Chad !
    2
  38014. Thanks
    2
  38015. Strangely that would make engineers fall in the wizard category (yay)
    2
  38016. Don’t get fooled by this sorcerer’s trickery. He’s not good at Math, he got a B trying to learn this stuff and now all the sudden he can solve equations with logarithms? It’s the book’s smell, you fools! The smell is making him understand Math!
    2
  38017.  @TheMathSorcerer  thanks!
    2
  38018. can we use quotient rule on number 10 that is the derivative of cot x/sin x
    2
  38019. Do you think there is such thing as being too old to study math?
    2
  38020. Love from India
    2
  38021. I took my first Diff Eq class from the second book - it was OK
    2
  38022. Thanks , was helpful to me.
    2
  38023. I used to hate this subject, now it's all I see through.
    2
  38024. Very sophisticated reasoning
    2
  38025. It's Leibniz
    2
  38026. Easy game. Why all math is not like this? Everything in university is super hard i cant handle it
    2
  38027. Nice
    2
  38028. Tnku sir
    2
  38029. Hello Sir! Off topic, do you have a discord community?
    2
  38030. good for you even that you read so many books you still have good eyesight.
    2
  38031. We really are in the shit when people start confusing rigour with elitism... .
    2
  38032. Yo this is really true mann
    2
  38033. crystal clear
    2
  38034. Thank you so much this was so helpful!! 🤗💕 I really enjoy understanding concepts rather than just memorizing formulas. You were a ton of help ♥
    2
  38035. I missed class today, thank you for catching me up
    2
  38036. Our faculty of math does have a calculus 4 class
    2
  38037. Good stuff Do you think you can do a review of the material that is available on Openstax and what one might want to supplement with their books if you feel like they're missing something?
    2
  38038. I love your way very much..thank you make me love calculus
    2
  38039. I am from egypt and I really want to communicate with you if you do not mind. to ask you some questions
    2
  38040. The women that emailed you is correct #AWESOME #CHANNEL @TheMathSorcerer
    2
  38041. preach it bro
    2
  38042. 🤓
    2
  38043. CLICKBAIT !!!11!!1!1
    2
  38044. Thank you for talking about Fortran and C
    2
  38045. You mention near the end of the video that the absolute function is a metric on the real number metric space. A bit pedantic, but perhaps it's more correct to say the absolute of the difference of two real numbers is a metric, since we need a two parameter function to define a metric. Other than that, thanks for the insight you share in the video :) Everyone struggles with failure in math, it's important to know how to deal with it.
    2
  38046. you genius sir
    2
  38047. Thank you
    2
  38048. I had given up on math this year but I am trying again. But unfortunately its a lot of pressure because I am waaaay behind my class :( . I read the very least 6 hours of math a day to catch up. I hope its enough time so I understand what is going on and write a decent grade at the end. Thanks for the supportive message!
    2
  38049. Never a bad idea to be happy with whatever you're doing. I could easily add (<- math joke) that you should be even happier if you have found some practical way to apply math either at your job or your every day life. If it is the case that you're good at it, you probably already have done this. Personally, my gratefulness would multiply (another math joke) explosively if I could ever figure out why my retention isn't 100% and force it to be 100%. Such a waste of time to forget everything just b/c 20 minutes of time happened to pass by. I notice schools don't really stress retention. I don't call memorization retention, since the falloff rate is very high even at age 20 and gets higher the older we get.
    2
  38050. You're inspiring
    2
  38051. Homework does not consider your own strengths and weaknesses. It is blanket given to a mass (usually). If you can study and be fully involved in the whole maths syllabus, kind of like your own journey - you can discover your own weaknesses, gain that particular knowledge and skills and find ways to prevent errors in exam that you uniquely tend to make. Homework can be a chore and a drawback for students who are fully enthusiastic about the math, but its good practice to do when learning somethibg new. It is given to get/force everyone in the course to learn.
    2
  38052. This book is famous for the anime edits, although I suggest caution when looking for them.
    2
  38053. NEVER FORGET TO WRITE A CONCLUSION AT THE END.
    2
  38054. I am going to start study real analysis by myself through the terence tao books, so should i first practice proof writing?, cause the terence tao books start from very beginning, so would it be enough?
    2
  38055. Good job. Good energy.
    2
  38056. It is said that randomly choosing a group of math people to do characteristic testing enough times will basically have the same result as randomly choosing a group of all human enough times.
    2
  38057. Tq sir
    2
  38058. Damn. You really like algebra don't you :P
    2
  38059. If you know and use easily the math language,everything else is peanuts
    2
  38060. 🫵🏾🧢🧢🧢🙏🏿❤️‍🔥🙏🏿💯💞
    2
  38061. There should be a class dedicated to abusive notation. MATH 4069 Abusive Algebraics
    2
  38062. What if you are starving AND taking stat theory?
    2
  38063. Wow..this is super dude..really a powerful way of dicovering something towards my goal..just as i expected..im not a big fan of math,but in my case this is the logic that i need to know..thanx for the insight bro,and goodluck😁
    2
  38064. I have to study for 25 hours a day
    2
  38065. Thank you for the book recommendation. I just ordered a copy online. I can wait to get started.
    2
  38066. cool beans
    2
  38067. Thanks for the laugh!
    2
  38068. Most of the times I am digging deeper and deeper into each and every line of my book.. after spending hours of learning a single page I get procrastinated...... Feeling like I can't learn anything.... Getting doubted at everything... Have lots and lots of things to study but can't focus learning... 🤔 How to motivate myself.. learning math without getting procrastinated... Right now I am working on Advanced Linear Algebra, Riemann Integrals on Analysis, Advanced Graph Theory, Basic Topology...
    2
  38069. The funniest math class video I've ever seen 😂😂😂
    2
  38070. What am i seeing
    2
  38071. 20
    2
  38072. May I recommend How to Write A Proof by Velleman to ease you to the proof world? They are fantastic books but I believe there is an awkward middle step between learning to prove and right after math highschool and this book covers it. I have reached only half but believe me when I say that I've seen results. The catch is that only a few solutions are provided but you can search for the book solutions on the Internet so don't fret.
    2
  38073. THE WOLFRAM ALPHA PART IM DEAD😂😂😂😂😂😂
    2
  38074. Newton is on Youtube
    2
  38075. How to solve this equation for x: x=y
    2
  38076.  @TheMathSorcerer  but in all seriousness, great job!
    2
  38077. In bodybuilding community it's said that every time you see someone with a great physique (we call it "shape") you are actually watching his/her past because you are seeing five, ten or more years of constant hard work day after day. I believe that math is the same thing although I have difficult time internalizing it. I'm a master in Philosophy and I'm doing my Phd in mathematical logic because I always wanted to learn Math and CS at graduate levels to work with some things that are of my philosophical interest and are highly technical. Although, I still struggle way more than my peers and will need way more time to finish my thesis. It's difficult to change the belief that you can't do math, specially at even at graduate level if you aren't gifted. Watching your video is a way to strength the believe that it is possible. Maybe the thing is that while I'm watching the past of my peers in every proof they do, decades of hard work daily, I'm comparing it with my relative new ability ability to "lift weight". Yet, it's a hard belief to change when you see someone easily understand what you struggle months to barely grasp but maybe the same thing could occur in a analyzing someone's shape, ability in some sport, capacity to write a essay in Philosophy or in any other activity. I want to believe (but it's difficult, although).
    2
  38078. Thank you professor. Im about to take my solids of mechanics final in 15mins and this video is what i needed to hear.
    2
  38079. Thank U ... ur the best teacher 💛
    2
  38080. Train your Body, Train your Mind Got it written on my chalkboard to remind me everyday! 💪🏼💯
    2
  38081. That's an excellent book as is his book A First Course in Probability
    2
  38082. No complaints here, get those gains.
    2
  38083. PTSD is coming back
    2
  38084. You have a great thing going with the channel and the podcast. I'm usually very picky about my podcasts but I've been really enjoying yours.
    2
  38085. You are my hero
    2
  38086. For me it takes a lot of practice.
    2
  38087. I had a young instructor who was brilliant. He said he taught himself all of the math he knows.
    2
  38088.  @TheMathSorcerer  Yes, he mocked his university education. ( He was from Russia. ) This was a calc 3 course. I am 72, studying math for a second degree, but really going for engineering. Hope to take engineering classes next fall. Have also taken diff. eq., about to take vector analysis, maybe linear algebra. My education was in humanities and fine arts. I don't know why there aren't other older people doing this. It's just a matter of curiosity and wanting to acquire a deeper understanding of how the world works. Sometimes a teacher will comment about how deep some concept is, like they can hardly believe it. I appreciate that, because I have the same thoughts, but I think the other, younger students miss it, because they are so focused on the math and their exams. As far as self-study, it's often the most interesting applications that the teacher omits, for example, in physics and that's where I get the most enjoyment and understanding. Math is too often separated from its real world applications. What I have learned about math is if you don't understand it at first, keep trying to understand. Don't give up. It's as if there is a barrier or wall to understanding. You have to persist in trying to break down that wall. Eventually it will crumble. I know that you know this is true. But too many students who aspire to major in a STEM subject give up too easily, perhaps because the language and symbols are too intimidating. Maybe that was true for me too, but then I realized that, in calculus, for example, concepts like differentiation and integration are so simple, you could explain them to an intelligent child. Just omit the big words. I'm going to watch some of your calc.3 videos now to review. Thanks.
    2
  38089. Thank super straight and to the point ❤❤
    2
  38090. This resonates big time... Thank you so much.
    2
  38091. Thanx, it really was!
    2
  38092. I have asperger's and often times get hung up on the need to learn and fully understand EVERYTHING when I study a subject. I feel like I'd spend 1.5 years on each book mentioned here. Any advice on how to know what should be learned and what's alright to spend less time with in these books? I've been doing Khan Academy, which has definitely helped me in that regard.
    2
  38093. great examples
    2
  38094. This is cool
    2
  38095. Great video thank you!
    2
  38096. Thank you so much.
    2
  38097. Can I get an extra 15% if I detail the interior?
    2
  38098. I thought abstract algebra
    2
  38099. LOL THATS GREAT
    2
  38100. Great book topic! Bought and am finding great value in your study skills book! 🤓 The Math Authorer!
    2
  38101. I am destroyed
    2
  38102. I may have done one of the Problems, the one with the beam. Pretty cool.
    2
  38103. Thank you... and now i understand this topic
    2
  38104. so I looked up zero knowledge - I do not think it means what you think it means
    2
  38105. Greatest 5 minute video.
    2
  38106. NON INTUITIVE IS THE MOST INTERESTING FUNCTIONS OR R
    2
  38107. create heaven on earth for myself and everyone else
    2
  38108. Very clear and simple. Thanks
    2
  38109. Solving math problems in a textbook is very different from solving research problems in mathematics. Solving open problems can often be a matter of luck: You see the right idea in a paper you accidentally read, which happens to work because of a discussion you had with a friend 5 months earlier. Of course, the harder you work, the luckier you get. A lecture by Cedric Villani on the topic of work articulates this very well.
    2
  38110. Is it possible for a man without any math degree to learn complicated Mathematics..? I don't have any math background. I am from India. After 12th i stopped my connection with science. Then i selected a different course for my degrees. I am satisfied with what i studied but still i need to escape from that math anxiety once i had and i need to do math well. This is not for proving anything infront of anyone but to prove myself that i am not stupid and at the same time i started loving math. I have been following your videos along with other channels. I have been reading books. Is it possible for a man like me to get into stuffs like Calculus..?
    2
  38111. The Math Swolcerer
    2
  38112. Thank You
    2
  38113. Now I learned to stop worrying and love the Math )
    2
  38114. A few other CS books I think worthy of review: 1. Numerical Recipes 2. The Art of Doing Science and Engineering 3. A Discipline of Programming 4. Computer Systems: A Programmer's Perspective 5. Gödel, Escher, Bach: an Eternal Golden Braid
    2
  38115. Chess players are thin because they forget to eat.
    2
  38116. this guys like Jeff Bezos with hair
    2
  38117. great video though my friend
    2
  38118. It's a conceptual move, not an algebraic one. Yeah, I'm feelin' you.
    2
  38119. We're being really abusive her. Yeah, I'm feelin' it.
    2
  38120. I love this problem. Nicely done!
    2
  38121. First
    2
  38122. thanks a lot <3
    2
  38123. I love these kind of videos where you just go over a problem step by step, explaining it along the way. Please keep making more of such videos.
    2
  38124. Fabulous video!! Fav part is you smelling the books😂 I can totally relate!!!!!
    2
  38125. Excellent advice! If you give up on anything, you will not accomplish anything.
    2
  38126. This is true. I am doing a honours math degree. I am taking graph theory,ring theory ,topology complex analysis and history of mathematics in this semester. I have no idea what I am doing in most of these courses. and also, your videos are so fun to watch. !!!
    2
  38127. You should also really review introduction to calculus and analysis by Richard courant. There are 3 books and they cover a lot of material.
    2
  38128. Thank you very much I was confused about what trig identity to use for sin times cos but you saved the day
    2
  38129. Most Americans are terrified of math. This makes mathematicians very powerful.
    2
  38130. Thank U, Infinite Intelligence 😇
    2
  38131.  @TheMathSorcerer  :)
    2
  38132. Chillhop and synthwave/chillwave help me a lot while studying. Definitely agree that music with too many words can be distracting.
    2
  38133. Is it about the pen or the book?
    2
  38134. Somebody give this man a refresher with a smell of old books, just so he stops wiffing them old books
    2
  38135. To get it is like pure magic!!! :)
    2
  38136. as a math teach, after seeing those comments i thiink i will reduce the amount of exercises in each test
    2
  38137. At your explanation of Hausdorff spaces I was asking myself: 'Why is he drawing pairs of tits on paper?" And then you mentioned T2 (tit uh) spaces... 🤣 Sorry, I'm usually serious by watching and commenting your videos, but I couldn't resist.
    2
  38138. All i heard was "The only problem I wouldn't understand is one with a typo"
    2
  38139. My friends who study math have kids and wives. I study math and I get kicks and vibes...
    2
  38140. Oystein Ore lives forever!
    2
  38141. "Doing Math with Python: Use Programming to Explore Algebra, Statistics, Calculus, and More!" by Amit Saha is a great book if you want to learn how to bridge math and programming. This book shows you how to do a lot of math using Python. However, it does not cover some of the advanced math needed for machine learning. You need to learn a lot of statistics for that and maybe use R.
    2
  38142.  @TheMathSorcerer  All part of my demented word association! ;)
    2
  38143. Well, I don’t think it’s always necessary to break the balance (unless one wants to be truly innovative and create important new theorems every month) The 🔑 to keep the balance which I discovered for myself and my students is to apply what we can spontaneously call the „phenomena of transfer of ideas“. For example: adding a 0 occurs quite often in Epsilon proofs. If we are passionate about our subject, we will quickly develop a feel WHEN to apply a 0 and when to do go on straight. In order to keep the balance when learning about differential forms, I recommend us to develop a true spatial intuition for what it is. (thinking about slats). We will see that this helps IMMENSELY to intuitively come up with ideas how to tackle proofs. If we cannot imagine hyperspaces, we can just go down to IR^3 and study the patterns there and then generalize back to IR^n. For saving time, the engineer‘s approach to advanced calculus is king, even when it comes to developing proof ideas. Of course a sketch isn’t precise or reliable enough but it helps a lot to avoid studying too many past similar cases and makes us more intrinsically innovative. Meditation also helps a lot over time because a lot of mystics of the past (including Nikola Tesla) were CONVINCED that we aren’t really developing the ideas in our brain but are rather DOWNLOADING it from source once proven worthy of it. This means a quiet mind with true love for math is automatically BADASS at maths because it leads to having a secret (divine) muse on its side. Another advise which I have for us is: instead of trying to remember every detail of a proof we study, we should try to focus on the MAIN IDEA and FILTER IT OUT. In other words: we should remember only the CORE IDEA of a proof and SUBCONSCIOUSLY TRANSFER it to other theorems which we need to proof. When we do this, we will quickly notice the net structure (not a chain like many think) of maths. This approach saves A LOT of time. There are more analogous proofs than many realize. Of course many details will be very different but the core of the proof, it’s main idea will be often quite similar.
    2
  38144. I LITERALLY JUST bought this book before this showed up in my feed. I love this.
    2
  38145. This guy doesn't blink
    2
  38146. Guys, I had this man as my professor! He is the best! <3
    2
  38147. Great video, thanks. I am a freshman physics major and I’m thinking about going for a double major. Do you advise me to go for math or CS? I really enjoy pure mathematics but I’m worried that I might not be able to find a job after graduation and that a CS major would be better in that regard.
    2
  38148. @The Math Sorcerer if I plan on pursuing theoretical physics in grad school, will double majoring in math be better than CS? Also, how hard is it to find a job for a pure mathematician? I heard that pursing a career in the academia is extremely hard for a mathematician. I’m really confused. My main interests are theoretical physics and pure mathematics but I’m not sure if I will be able to get a job in these fields, even if I go to grad school.
    2
  38149. @The Math Sorcerer Thanks, I really appreciate your dedication. I guess I am probably gonna double major in physics and math since these subjects are the ones I’m truly passionate for. I might learn coding on my own in case I ever need it.
    2
  38150. 2:53 "it involved Group Actions....... yeah.... good stuff". TMS's perspective on mathematics is inspiring. So glad I found it.
    2
  38151. I love the candid advice math sorcerer. I want to be as self disciplined as your buff Math friend.
    2
  38152. This book is good, thank you for give the information
    2
  38153. I'm a literature student who's trying to get into Psychology for M.A. and recently, there has been a burning desire in me to go back to mathematics and relearn the things I used to hate once (I suppose this sudden infatuation with mathematics is somewhat connected to my love for linguistics and syntax). Now, as a literature student, most of my reading has been, well, literature and philosophy. I'm quite sure that Logic will come in handy for my actual studies, but as some insist, delving into mathematics would be a waste of recources. I do enjoy logic and problem solving. What would be your suggestions for math books considering where I stand? Obviously I need a refresher on all the basics. I would greatly appreciate ang help and guidance.
    2
  38154. Im scared. Thanks!
    2
  38155. Maths need regular practice. Regularity comes from discipline. Thus maths make you discipline or you lose math if you are not.
    2
  38156. Listen to your inner voice. If it says something like "Five more minutes and I can quit", you are making time but you are not learning. If you say "I've finished the unit but I'm 15 minutes over", it probable means you are actually learning. Know the difference between actually reading and staring at a page thinking you are reading. Take your Time, but Use your Time.
    2
  38157. I think the most accurate part of this video is the hair
    2
  38158.  @TheMathSorcerer  Yes! I meant calculus of complex variables! I should look both saff & snider and brown&churchill.
    2
  38159.  @TheMathSorcerer  I have always felt Schaums books are more for problem solving, than actually learning math :D
    2
  38160. heyyyyy, i asked a memory question aswell! thank you sir!
    2
  38161. I also like Gamma functions and thet have some very interesting properties as mellin transforms, which is rarely taught in topics of special functions. For some time, ive also been pondering about combinatorial idenities being expressed as gamma functions with the use of the gamma factorial.
    2
  38162. Gonna use this as my study guide if thats ok
    2
  38163. Here's a video with the author himself explaining his book. https://www.youtube.com/watch?v=h0gbw-Ur_do
    2
  38164. lmao, this is so accurate
    2
  38165. Thank you
    2
  38166. Sure Sir. No backing down. Thank you.
    2
  38167. Thank you! Helped me on homework
    2
  38168. Holy shit, this dude is so cool
    2
  38169. You're a big inspiration for me.
    2
  38170. I can use this method for Real Analysis? Or just for Calculus?
    2
  38171. Pure math and physics might require a higher intellectual horsepower, but the problem for engineering majors is there's only 24 hours in the day. Math and physics majors are liberal arts majors and they often have three joke-level liberal arts classes in their schedule. Here's the recommended classes for a second semester sophomore year chemical engineering major at Arizona State University, which is typical for most universities: Transport phenomena in fluids, Organic Chemistry II, Electricity & Magnetism, Differential Equations, Engineering Elective such as electrical circuit design. See? There is no fluff class. Each of those classes requires 12 hours per week of reading, note review and home work in addition to attending classroom lectures. Meanwhile here's what physics majors are supposed to take for their second semester sophomore year: Mathematical Methods of Physics, Modern Physics (physics III) A humanities or history class, A 3 credit foreign language class, A social science/behavioral science class. See? Three classes that require minimal effort for someone with the IQ level to succeed as a physics major.
    2
  38172. You really are helping me in my choice of what to do of my life. I want to be a matematician. A hello from Brazil
    2
  38173.  @TheMathSorcerer  I'm math student, and youre very helpful :)
    2
  38174. Good
    2
  38175.  @TheMathSorcerer  Thank you for this great suggestion. I have the same issue that Aigean is facing. I have been trying to learn from the basics since I was 28 and haven't made great progress mainly because of my work schedule. I am 30 now and feel dejected. Moreover, many roles in my domain(finance) are getting increasingly competitive which requires a good grasp in math and computer science. Do you think I should quit my job just so that I can learn mathematics in a self directed fashion? Your suggestions would be profoundly appreciated.
    2
  38176. nice
    2
  38177. My brain just shuts off when I see numbers
    2
  38178. Thanks you sir
    2
  38179. Thank you really help
    2
  38180. Video has been very helpful. Thanks
    2
  38181. i love these types of video, plz continue !!
    2
  38182. I really like and learn from your videos. Wish you had been my math teacher in high school
    2
  38183. If the x on the first term doesn't exist, if it was e^y, the derivative there would be zero???
    2
  38184. Love this book. Halamos also has a problem book in linear algebra
    2
  38185. Wouldn't it be better if instead of making 5 short videos on related topics and uploading them separately, you made one video grouping all of those together and showing 5 timestamps (to each of the topics) at the beginning? (So that people who wanted to learn, say, the third topic, could just skip up to there?)
    2
  38186. ...and it is very much appreciated!
    2
  38187. You might just have gotten me hooked at math🙂
    2
  38188. LOL, lost it at "this is Calculus 7"
    2
  38189. Good advice. I like your statement about self-imposed barriers that can discourage a person from even trying. Just hearing a given subject is hard is someone subjective anyway.
    2
  38190. I would totally stop trying to find answers on the internet. There, everyone is at a different level and the more you search the more frustrated you'll be. Instead, try to find a good textbook for the specific branch of math and for your level. Read theory and do problems, and if you find it too hard or confusing, that only means that you tried to skip levels. Find another textbook at a lower level. Mathematics is beautiful, but you have to build your understanding in the right order. It's like building a house: start building a solid foundation.
    2
  38191. That book is quite expensive.
    2
  38192. I needed this; number 3 is truly wicked. Thank you for the permission to accept this as part of my learning process rather than a portend of my abilities.
    2
  38193. You also have books on chemistry ! ))
    2
  38194. Sir , can you make videos on high school maths ?
    2
  38195. thanks
    2
  38196. So juicy to see that denominator split into to its 3 factors 😆
    2
  38197. Wow why is my wizard hat suddenly a mouse
    2
  38198. The opposite goes for me gentleman
    2
  38199. I wonder why no one pointed out that he looks like Jeff bezos stucked in the 80s
    2
  38200. You have no idea how much i needed this
    2
  38201. EE has the best maths in engineerings <3
    2
  38202. Math Sorcerer, Would you recommend going into linear algebra immediately after college algebra and pre-calculus?
    2
  38203. This helped a lot thanks man. Nice hat by the way!
    2
  38204. What's the difference in the brain of people that's good in math and people that's not?
    2
  38205. The 70% exam 30% final is so true and I hate it
    2
  38206. Like the Schaum's outline books on your shelf
    2
  38207. I’m 27 and am a slow learner but I feel like there’s a large gap of my understanding for math due to the failed teaching system at my school. I was briefly, if not barely, taught the fundamentals that my classmates could pick up so easily and this lack of understanding math has always brought down my confidence in myself. I know a coworker who was a math teacher and I have thought of asking her to teach me the fundamentals again. Do you think I should go for it? I suppose I could always just look online and try to do my own self studying..
    2
  38208. Thank you so much sir, awesome videos!!! Please Keep making more:)
    2
  38209.  @TheMathSorcerer  😊
    2
  38210. Can you make a video about how to get better at theory math
    2
  38211. Love you sir.
    2
  38212. Wow, uploaded the day before I start mathematical analysis 2 and discrete math. Thank you! :)
    2
  38213. 🖤😎🙄
    2
  38214. This may be off topic, but how do you think one creates a better and more accurate instinct or intuition for maths? Also, great video. I'm someone who is in the process of trying to take wise action on my current instincts to begin developing a meaningful career, so this is encouraging.
    2
  38215. Professors often say the problem is truly trivial and you should be able to do it. They then walk away and you see it in the exam. Bummer!
    2
  38216. You are one Math Guardian Angel ❤
    2
  38217. Frying motivational
    2
  38218. #mathsorcerer please do a review on real mathematical analysis by Charles Pugh , its quite unique and everything is motivated by some visual representation
    2
  38219. Thanks a lot for this! Very inspiring!
    2
  38220. Ooo!
    2
  38221. Nathan O. Niles was co-author (with George Haborak) of my high school calculus book "Calculus With Analytic Geometry, 2nd Edition". No longer have it (still have my 1st edition Anton from college).
    2
  38222. Before I watch the video or dare read any other comment, I will share my own annecdotal experience untained and see how it lines up with yours/others. Personally, it less math people at large, but usually a vocal minority, usually specialists in a subfield with extremely narrow tunnel vision. Ever seen people who go bananas over "0^0 = 1, people saying it is undefined are mentally re tarded and I am okay being being ableist and using old terminology as a general insult actually" because it is a common and convenient definition in their specific sub field of maths, and they can't understand math as a whole can't be dependant on "obvious" assumptions limited to some subfields they personally lke, value more and frequently pretend math is fundamentally those fields [because of course they do these sorts of bs too]? Yeah, those Emuanuels and it is both not a surprise at all they act like this, and pretty obvious why when put like that. The other people are sort of similar, they're applied maths people. Or, as I prefer to call them, voluntary iditos who just happen to do complex calculations much better than they can understand wtf they're doing or saying, let alone wish to understand (because that would force them to shatter their superiority complex horseshit, and that is not on the table for them). Basically, one loud subgroup is bullshit, the other is horseshit, they come together often are are otherwise indicits, because the part that counts is that they're just piles of shit. /rant (Yes, I don't like those two types at all).
    2
  38223. Thanks 🤗
    2
  38224. this video is 8 semesters late🥲
    2
  38225. thank youu 🙏🏽
    2
  38226. I can see the whites above and under his irises. That's pretty unsettling. And it's not just for a sec or two. His eyes are plastered open the whole video. Tf is up with this dude.
    2
  38227. Thank you.
    2
  38228. DAY-deh-kinnd
    2
  38229. Helpful for a person who wants to dominate the world haha 👿
    2
  38230. First one
    2
  38231. major history note keep that content up
    2
  38232. If I had to guess, it's due to the same reason why people are buying bath tissue in bulk. There's the anticipation that negative supply shocks will strike consumer goods' supply chains. If there's the expectation that meat won't be accessible for a while because COVID-19 is preventing the cattle cars from transporting the steer to the steak factory, then individuals with preferences for consuming cow are likely to panic buy meat in bulk. Steak can be stored in the freezer indefinitely (up to a year according to the USDA, but it's not like it's going to spoil, mold, or decay in there. You might get some ice crystals or freezer burn, but that doesn't matter in a pandemic, right?). So as long as the utility company doesn't cut power, or your fridge doesn't die, one could satiate a craving for meat by extracting a steak their frozen stock pile until agricultural output returns to normal, and the shelves are once again lush with red meats. Curiously enough, at my local grocery store, they were completely sold out of edible cuts of beef, as well as frozen pizzas. But the piles of poultry and pork, along with the fruit and vegetable section, were completely ignored. Hopefully, a few aspiring Micro-economists will be able to produce a couple dissertations on consumer preferences during a pandemic from all this new purchasing data. Btw, I love your videos. They helped a lot back when I tried my hand at mathematics. Keep up the good work.
    2
  38233.  @TheMathSorcerer  , “We used a way more advanced book”, is an excellent motivatating factor, in encouraging one to even dare to approach the subject, while introducing books, the average student might find complicated.
    2
  38234. The set of all math books, written and to be written, has ordinal type omega.
    2
  38235. felling tooo good after watching your video.Love from Pakistan
    2
  38236. Can you do a video about Model Theory?
    2
  38237. Op
    2
  38238.  @TheMathSorcerer  ok thank you ❤
    2
  38239. Depends
    2
  38240. youtube bell: "You probably shouldn't..." me: learn C with a book from the 80s? that showcases version of the language so ancient it's even before first standardization?
    2
  38241. Honestly this is me in comp sci
    2
  38242. So easy teaching. thank u
    2
  38243. hii guys
    2
  38244. Tq sir this is very helpful ❤
    2
  38245. Thanks 👍
    2
  38246. Are all books behind you about maths?
    2
  38247. very nice
    2
  38248. Wolfram alpha my friend
    2
  38249. You mean that teachers should test students' comps?
    2
  38250.  @axonnet6721  Schools need to rethink the curriculum and base it on how the real world works. No one is doing math problems with paper and pencil. I mean back in the dark ages before pencils, they chiseled math problems on stones and drew it with a stick in the dirt, should students do that because that is the way it used to be done?? Math is all done these days with CAS , that is they way it should be taught. Students would learn way more. Students could learn a wider array of topic as result of the time savings. The whole Math curriculum is backwards. Teachers get the solutions manual lol... why? that is idiotic. the student should get the solution manual. The teacher should already knwo the solution.
    2
  38251. I read programming books about assembly for obscure systems I will never program for.
    2
  38252. concise and the best explanation. Blessings
    2
  38253. Also professor “If you cannot do row echelon form by now you should probably just kill yourself”. Somehow still one of my favorite professors during my math undergrad.
    2
  38254. Mee Tooo!!
    2
  38255. Awesome to see you use the board, my math professor love using PowerPoint and it’s rather annoying. Love your lectures and videos. I’d love to do what u do one day.
    2
  38256. Can i ask where you got this book for 12$? I looked on Amazon and the price is incredible high.
    2
  38257. How much of this would you say is grad vs undergrad math content?
    2
  38258. Check out “Who is Fourier?” and “What is Quantum Mechanics?”
    2
  38259. I thought I was the only one
    2
  38260. I am a lawyer planning to start learning Maths from scratch. This is very helpful. Thank you!
    2
  38261. Love from India
    2
  38262. Sir you got a new maths student
    2
  38263. I love your teaching
    2
  38264. You should know that you have to be a different kind of person to go for a PhD. You have to love doing it 24/7/365.
    2
  38265. I started math back in highschool when I didnt get linear functions and my dad explained it to me, from there on I could understand nearly anything and motivation was there too ;)
    2
  38266. Great topic! To me, saying that some people learn more rapidly than others but the others will catch up if given enough time is simply restating the question: Why do some people learn math so fast? Why are the slower people slower? Like others here, I've thought about this a lot. I think that some people are born with certain skills for reasons that we do not fully understand. Music, math, athletics, art, literature, poetry, etc. are all fields where this phenomenon occurs regularly. For almost all of us, there will always be someone who is better than we are at math. But, there will always be people who are not as talented as we are at math, too. I play the piano and I am seriously humbled when I listen to Oscar Peterson play. My hands are much smaller than his and I will NEVER be able to do everything he did. But, by far, most people who hear me play are very pleased to listen and give me what seem to be sincere compliments (some even put tips in my Tip Jar!). So, there's a place for me in the music world and that has to be good enough for me or I will drive myself crazy. I'm not going to quit playing the piano or doing math just because Oscar was better than I am or Euler was a frickin' genius and I'm one of the slow ones. I enjoy math and music a lot and I can share that with other people and maybe help them enjoy those things, too. That's good enough.
    2
  38267. what a legend, you have more videos here than in udemy course, thx a lot !!!
    2
  38268. I think distractions are bad but it's all personally
    2
  38269. My boy you look shredded
    2
  38270. Could you tell me a book for complex analysis ? I have graduated from math department so I have some experience in topics like holomorphic functions and cauchy theorem but I would like to go further in these things.
    2
  38271. Hungerford.
    2
  38272. The books are fancy! But the book stand fancy too.
    2
  38273. iirc, the Intermediate Algebra book by McMullen has enough square root sections to develop that skill if you're bad at it like I am.
    2
  38274. In other countries, for example here in the netherlands, highschools are divided up into intelligence classes. So more intelligent kids go to more intelligent programs. Hence in college, they will start at a higher level, having had more past knowledge
    2
  38275. If I m a highschooler in France in 11th grade, which one should I start with?
    2
  38276. Thank you from us
    2
  38277. Very helpful! Thanks!
    2
  38278. Do you have some book about Analysis? It's so hard!!!😞
    2
  38279.  @TheMathSorcerer  thank you! I will see if I can buy here in Brazil!
    2
  38280. THE MATH SORCERER
    2
  38281. 👍👍
    2
  38282. Video Request: Can you make some videos on how to prepare for grad school entrance examinations?
    2
  38283. I feel like with extra voice embellishment this could be the professor form of Bill Lumbergh
    2
  38284. My mentor ❤
    2
  38285. I am 25 years old do not mind learning all these books, in fact ive began learning but my problem is can I apply this knowledge.if only i can find teaching job or something
    2
  38286. 1. Interest 2. Preview material before class. 3. Study + study = success
    2
  38287. you look like ISAAC NEWTON and i follow all your suggestion because its like isaac newton talking to my face..
    2
  38288. Best ❤
    2
  38289. Thanks,
    2
  38290. Rofl
    2
  38291. thx
    2
  38292. 😍😍😍😍😍🤩👍👍👍👍👍that's it so helping
    2
  38293. Very nice textbook ...thank you!
    2
  38294. I could write a whole paragraph to say how much i appreaciate your videos, but i only have a thank you to say, a very strong thank you.❤
    2
  38295. Sorcerer, I know you are a mathematician and not a computer scientist- but have you heard of the programming language Agda? If so, what do you think about it?
    2
  38296. Thx
    2
  38297. i just watched this video, and no joke u gave me a tears :D I really needed these words, thank you :)
    2
  38298. tldr; 19 months ago I got hit by a car. Wasn't bad, but it broke my leg. I decided I needed to learn math because I was just beginning to go to school for Economics. I took the minimum amount of math necessary to graduate in high school and that was 14 years ago. I had to start at the basics. Slope, factoring, trig identities, etc. I have since gotten up to Calculus 2, Statistics and mathematics for economics, which involves partials and multivariable functions from Calc 3 and Linear Algebra. Every single math class I've had since I started a year and a half ago have been online, so it's essentially all been self-taught, though I've at least had a plan/curricula laid out for me. However, in my journey I've found everything he's said to be helpful. I've been jumping into set theory, probability theory, differential equations, etc., and where I don't understand it, it shows me what I need to learn to be able to understand it. The more books the better. I've been using determinants for a while and it took one sentence in a book that said "Hey, it's the area of the resulting shape created by the vectors of the matrix." for me to go "Oooohhhh" It's just different perspectives on things. Someone just saying the same thing in a different way can be a tremendous help. Anyways, long way of saying I appreciate the content. There's some helpful bits in here.
    2
  38299. what about pinter
    2
  38300. Valeu!
    2
  38301. I am so gonna subscribe this channel🧐
    2
  38302. I had this book!
    2
  38303. You're a good role model! ;)
    2
  38304. I can't My curiosity won't let me!!
    2
  38305. Hey, math sorcerer please make a Fourier series playlist.
    2
  38306.  @TheMathSorcerer  oops yes youre right haha!
    2
  38307. I love mathematics
    2
  38308. Do you have any recommendations?
    2
  38309. Thanks sir
    2
  38310. Dalton Hall is at the University of Manchester :) https://en.wikipedia.org/wiki/Dalton-Ellis_Hall
    2
  38311. If you need a specific book to study math; you will better understand the book, not necessarily the math.
    2
  38312. yo Electrical engineers represent ... i am mostly focused on CS , but EE and Power Electrionics will always be close to my heart (also i love Laplace xform , its like magic) ..... and yes Engg use --PEN , my favourite was Reynolds 045
    2
  38313. Also please review , Fitzergald and Higginbotham :P
    2
  38314. Great!
    2
  38315. Legend.👍💙💙
    2
  38316. Rofl@ the music! Yeah, it was annoying. By the way, what do you have to say about working hard vs working smart?
    2
  38317. Great conversation with tutorials. I'll spread the word.
    2
  38318. Awesome video!
    2
  38319. Amazing :)
    2
  38320. Stumbled upon your channel by chance. Thank you for the advice.
    2
  38321. Jeff Bezos really thought we wouldn't notice.
    2
  38322. Somehow I never worried about my grades :D
    2
  38323. I will own this some day. Thanks for showing these gems.
    2
  38324. That was a really fun Problem - thanks for sharing!
    2
  38325. Thanks 😊
    2
  38326. If only Calculus VII was actually that easy lol
    2
  38327. I don't think there is a better feeling for me than when I finally understood something that was previously a roadblock I had to work through.
    2
  38328. I think I have this book.
    2
  38329. " you want to be as comfortable as possible" because ur about to go through hell
    2
  38330. Thank you very much for your love in Mathematics and uncountable love from India. I have a request to you, please give suggestions on books on Smooth Manifolds. Thanks in advance 😊
    2
  38331.  @TheMathSorcerer  please make a video on this.
    2
  38332. But we can feel worse if we compete and we lose though
    2
  38333. no. absolutely not. take 0 - 3' of your prognostication statements . . . . . . . i'll take a book or a video on my own, in my own setting versus the communal membership where the rest get it and i don't. a prison cell amongst the spatial community sucks. never, never, ever did i feel overwhelmed picking a topic & making a serious approach thru it as the sole audience member. your blah, blah, blah counters the intuitive, self discovery process that is challenging and invigorating. the only dark side is not going there . . . . for me.
    2
  38334. Thanks for the video sir! Do you have tips for self-studying though ?
    2
  38335. Self-studying here too. If you need books, visit Open Library for digital borrowing.
    2
  38336. He looks like he could be among those 17th century mathematicians
    2
  38337. A very generous review, but I suspect I will need an eraser, pencil and the book.
    2
  38338. Why wasn’t I told about this before!?
    2
  38339. One thing that will get you an "A" in calculus ...........study the subject!!!!!!!!!!
    2
  38340. awesome 👍
    2
  38341. Thank You!
    2
  38342. 🔥♥️🖤🔥
    2
  38343. This guy looks like Gandalf's first appearance when he came back as Gandalf the White.
    2
  38344. I have Conics by Apollonius of Perga. Would like a 'modern' book.
    2
  38345. Do you read one of the two books recommended or both of them?
    2
  38346. That is “mathematic in engineer analyze”.
    2
  38347. Graciassss por el vídeo!
    2
  38348. Such a wonderful recommendend video.
    2
  38349. He looks like Jeff Bezos with hair
    2
  38350. For a grand or so you can become a master in mathematics, to be honest that is a super steal
    2
  38351. It seems to be ideal for beginners :)
    2
  38352. dude got the most clickbait titles ive ever seen
    2
  38353. 0:34 😂
    2
  38354. Oh wow. Thanks.
    2
  38355. Where would I get this book??
    2
  38356.  @TheMathSorcerer  same
    2
  38357. Sir that was really helpful as i was beginner in calculus and was stuck in integral.....this one cleared my doubt..
    2
  38358. Cause they have a better mercury 😂
    2
  38359. You are the best <3 I finally understood how to solve it!!!
    2
  38360. “The Final Theory: Rethinking Our Scientific Legacy “, Mark McCutcheon for proper physics.
    2
  38361. Looks like Jeff Bezos
    2
  38362. 4:05 the origin story of thomas edison
    2
  38363. ¿De dónde sos? Yo soy de Argentina😃 Por cierto, tus consejos son muy buenos.
    2
  38364. Hey! Great video, agree really strongly with all of your points. I’m majoring in physics, and I do know math like diff equations, complex analysis, linear algebra. But it’s all mostly computational and non rigorous, so I want to start learning math from scratch, since grad level physics REQUIRES rigorous understanding of math and a deep intuition of the same. I’m thinking of starting from Spivak ( calculus ) and Baby Rudin alongside. Could you recommend a good, ‘deep’ book for linear algebra and Multivariable calculus, preferably with solutions available? I was thinking Hubbard and Hubbard, but I sadly can’t find solutions to its exercises anywhere, so it maybe problematic for self study ( or would you still recommend it? ). Thank you for reading! I really like your videos!
    2
  38365.  @TheMathSorcerer  Oh, I see. Then what would you say about sticking to Hubbard and Hubbard? I read the first few sections of the book, and I like the prose style a lot, and that it’s columns are densely packed with a lot of comments on the material and historical asides as well.
    2
  38366.  @TheMathSorcerer  Thank you a LOT for these recommendations, I’ll check ‘em out!
    2
  38367. Real
    2
  38368. suii
    2
  38369. Thank u so much
    2
  38370. Keane is my Analysis prof! Ha
    2
  38371. Ok Boss I will go back to work. From 8am to 6pm, with a 5 minute break to eat an integral sandwich.
    2
  38372. Hmm first math class hmm Uhhh math!! What else would it be!!! God
    2
  38373. Sir can you please make a video commenting on Fraleigh Abstract Algebra "3rd edition" .
    2
  38374. Thank you very much Sir ... 😀... Love from Kolkata , India
    2
  38375. i do all of this things but I'm not as good as I want :(
    2
  38376. We need books review on the workout!
    2
  38377. I am 21 and, I, love your videos and all those sort of books that you told of beginning to end. It could sure help if you add videos for each of that books Thanks!
    2
  38378. Y'know like that at Udemy...
    2
  38379. I think the title of the last book reads "Theory of analytic functions"
    2
  38380. How many hundred years will it take to complete these? A couple hundred thousand years?
    2
  38381. You're enthusiasm toward math is awesome.
    2
  38382. Naw. Go to USN Nuclear Power School (NPS) In the early '70s and experience hard tests. Yep, we had wooden slide rules. Signed.. HLB, NPS Mare Island, A1W, CGN-36, P.E.
    2
  38383. I dont know what school you teach at but I've been watching all your diff eq videos and wherever it is they're not paying you enough
    2
  38384. My math score went up 7th grade and I think it’s because I didn’t click with my 6th grade teacher and assumed she hated me.
    2
  38385. 1st comment :))
    2
  38386. And you can pick it up for just a few dollars.
    2
  38387. Thanks my G
    2
  38388. What program do you use for recording your audio and for the actual work you're doing? Do you use a tablet for writing?
    2
  38389. Thank you for articulating this!!!!!
    2
  38390. this reminds me of all those people trying to learn some computer science / data science / bioinformatics. in case you don't bother with having a certificate or diploma from a university, you can follow the recommendations from the OSSU ( https://github.com/ossu ).They say it is a equivalent to a bachelors degree. I wish there would be something similar for mathematics and physics to.
    2
  38391. Do we also put V.As along with C.Ns and endpoints on the sign diagram? I’m trying to figure out why zero is on the sign diagram instead of just -14 alone
    2
  38392. Not an update but an interesting read https://en.wikipedia.org/wiki/Concepts,_Techniques,_and_Models_of_Computer_Programming excelent for teaching!
    2
  38393. This was really helpful, thank you❤️🫂
    2
  38394. This sounds good
    2
  38395. Awesome...
    2
  38396. Ah, maths, my nemesis!
    2
  38397. Keep em coming. :D
    2
  38398. I needed this
    2
  38399. Thank you, coach!
    2
  38400. Im 30 and im planning on going back to college
    2
  38401. Do you think it's possible to learn math at an older age?
    2
  38402. Be consistent else end up procrastinating...hihi this happens with me so much 🙈
    2
  38403. Thx man really a life saver 🙌 🙏
    2
  38404. Your title fooled me this time, Math Sorcerer Sir. I really thought this video is discussing about Pythagoreans who were at that time a secret society.
    2
  38405. The Math Sorcerer thx for the heart
    2
  38406. I think the issue is mental fatigue sometimes but another issue is pent up energy. If you spend all your time working and don't have an outlet for exercise or socializing you can begin to think you hate math.
    2
  38407. Thank you sir . This really helped me.
    2
  38408. maybe I will try this since I am struggling with my math skills but I want to be good at it since I like calculus but my algebra sucks
    2
  38409. Thank you, man! I really appreciate that there are people like you! This is what I'm missing in my evolution!
    2
  38410. I think everything requires effort.
    2
  38411. Is he bezo's sibling ?
    2
  38412. What a beautiful problem
    2
  38413. No hay que llorar por no saber. Hay que llorar por no dar el 100%
    2
  38414. The trademark of a great scientist is to not give up
    2
  38415. Relearning a lot of math as a physics major and looking into other advanced topics to move on to, this video is insanely helpful, Thank you!
    2
  38416. Him saying "math" instead of "maths" is more distracting than anything honestly lol
    2
  38417. I can't find A Graphical Approach to Algebra and Trigonometry by Hornsby, Lial, and Rockswold on libgen. Any suggestions?
    2
  38418.  @TheMathSorcerer  no I guess that is for finding books. I was searching for the pdf on libgen.
    2
  38419. 1:28 the best part of the video
    2
  38420. Can you do some group theory, PDE, numerical methods stuff? And explain hyperbolic maths plsss
    2
  38421. Great video!
    2
  38422. Book look great.
    2
  38423. Very important for understanding spherical harmonics, which is totally essential to understand subatomic behavior and the quantum nature of chemical bonding, as well as Photonics.
    2
  38424. I didn't know that you are a trader too.
    2
  38425. Awesome video imma use these to freshen up in math...may i also suggest this book..."How to Read and Do Proofs" by Daniel Solow. I was absolutely clueless when writing proofs and stumbled and bumbled through my upper math courses found this book after graduating and wish I had it in undergrad.
    2
  38426. Thank you
    2
  38427. I won’t be able to dunk in two weeks..it’s gonna take 3-9 months depending on my very lol
    2
  38428.  @TheMathSorcerer  woww thank you sir
    2
  38429. 🖐🖐🖐Thank you .... could you please make a video And tell us about the best books in the history of mathematics , because there is many books ?...
    2
  38430. You’re funny! Ha
    2
  38431. Title: How to learn mathematics Video: How to teach yourself mathematics The 209k viewers: Now what is this fuckery
    2
  38432.  @TheMathSorcerer  I still love your content and am glad the channel is growing. Can't wait to see more! I think you'd make a killer "graduate school/classes be like" , "GTAs be like" or "weedout classes be like" video.
    2
  38433. why does it look beautifu now
    2
  38434. I didn't even realize what is the meaning of math until I was in 10th standard . Then taught myself math through the internet and books. After flunking most of the classes till 10th I mysteriously starting liking math. It was like a revelation outta nowhere
    2
  38435. I totally agreed with your statement about the value of reading books ... it’s help me visualize what the author is describing. Thank you for the video
    2
  38436. Are you ill or do you have an allergic reaction?You look a bit unhealthy in this vid.No offense, you are the best men!
    2
  38437. I need to listen to this every week once! thank you :)
    2
  38438. Nice introduction to lot of topics. It would be nice if you can list some applied math books which are useful in Engineering. Linear algebra and ODE books are some which are already listed.
    2
  38439. Finally, now I am ready to start playing with Math as a hobby. Thank you, The Math Sorcerer.
    2
  38440. I am struggling with pre cal its quite hard and I am going to start taking time yo actually study it on my own. You come off with a pleasant welcoming attitude so I subscribed will check out more content of yours.
    2
  38441. Best math teacher ever👍👍👍👍
    2
  38442. Muy interesante hechicero
    2
  38443. DURING EXAM MY FRIEND - MAM COMPLETED(who completes BEFORE 1 hr ) ME - am I joke to u (who still did not complete even one sheet of paper)
    2
  38444. im in this !!!!!
    2
  38445. Your videos are so incredibly helpful, thank you!
    2
  38446. Really liked "Wake up", so I directly bought it. Thanks for keeping coming up with this kind of content, it really helps :)
    2
  38447. I love math. Algebra is great, but may be a struggle for some
    2
  38448. i’m in 9th grade learning geometry I have big interest in trigonometry or algebra 2 but i’m not sure if it’s a good idea/ what books to get
    2
  38449. I really like the energy and the way you teach. I am 26yo. trying to learn math from very basic. But can you suggest some good resources for learning from pre algebra up to calculus level? I am really weak in math. Please provide me some good resources (It can be books or video tutorials)
    2
  38450. so yes, cery helpful even 2 years later
    2
  38451. u look like jeff bezos with hair
    2
  38452. This was nice, thank you
    2
  38453. No tenia ni idea de que fueras cubano. Tu ingles es perfecto! no has pensado en hacer un canal en español? Creo que te iría muy bien.
    2
  38454.  @TheMathSorcerer  Como se llama el canal para suscribirme ya mismo?
    2
  38455. Gran video Bro!!!
    2
  38456. You look like jeff bezos amd mark Zuckerberg at the same time
    2
  38457. I have been requesting the review of introduction to linear algebra by serge lang. Please do
    2
  38458. Typo in title, adn should be and
    2
  38459. @The Math Sorcerer Really impressive collection of abstract algebra books... Thanks for sharing with us... I am having trouble finding a good book for group Theory. Can you suggest a Group theory Book or BOOKS? For both introductory group theory and advanced group theory...
    2
  38460. Proofs are hard especially if you’re teacher is anal about formality
    2
  38461. Can't tell if this is a troll video or not Edit ok not a troll video
    2
  38462. Slay math man. Thanks a ton
    2
  38463. Me: I’m just smart Kidding. I need a least a day and a half to remember and fully understand a chapter. I do one or two tests everyday. I did a test on Friday and I thought -3sin(2theta) was (20) so I failed half of my test. I hope my calculus teacher lets me redo the test or I’m gonna lose it and my teacher is the “not my problem deal with it but don’t drag me down too” kinda type so I really hope he’ll let me fix my mistake
    2
  38464. oka, that is not the type of math teachers that exist in my country's college math teachers. The I don't believe in tests and the softy, nah ah... everyone comes back to the conclusion of ...
    2
  38465. Very useful Sir, thank you so much ❤
    2
  38466. This helped a lot, thank you much!
    2
  38467. Namaste sir ji
    2
  38468. So sweet
    2
  38469. its jeff bezos! with semi hair!
    2
  38470.  @TheMathSorcerer  I remember when I did finish college, I went straight to the university study mechanical engineering and everything was fine, but that damn course of mechanical drawing with autocad, draw by hand too, it was so freaking hard, I didn't know how to study. I switch to chemistry in another university and I got very good grades even in quantum mechanics. I had some difficulties in my last course of organic chemistry (draws again hahaha), but I finally got my diploma and I'm so happy. But yeah idk, but I dont have that weird artistic intelligence for drawing stuff
    2
  38471. Thank you!
    2
  38472. The accuracy of this is only rivaled by it's hilarity. Good stuff Math Sorcerer!
    2
  38473. The best thing is study practical math that you can use or benefit in real life
    2
  38474. I had no idea about a course by 9pm and by 8am when i had the exam the next morning, i was an A student. It was honestly overwhelming to be very honest as i didnt know what to begin with and what to do and i felt like i should just sleep and fail the exam but it was unlike me to fail an exam. Truth is i had not been taking notes in class or even paying attention especially to that particular course but i wasn't a dull student per se What did i do? I first skimmed through the entire course in 1.30 hrs to get a grasp of what it was all about, and when i was done i studied the past questions before i actually read. I slept by 12 am and woke up by 1 (which is compulsory for when I'm studying at night) and read till 5 and slept again. The sleep sessions helped reinforce stuffs. When i woke up i was a beast.😅 Two weeks is definitely possible
    2
  38475. Can you make a video on showing some of it’s pages and the index
    2
  38476. Looked up discrete structures for dummies and ended up here. 😢
    2
  38477. This reminds me of Math Methods but with Arfken/Weber :P
    2
  38478. Great video as usual :-)
    2
  38479. Brilliant Idea.
    2
  38480. very interesting!!!
    2
  38481. Thank you, I needed this. Sometimes I get way into my own head and forget to step back and appreciate the learning process with all the struggles that come with it. I will keep this advice in mind for my future studies! :D
    2
  38482. this book have every thing
    2
  38483. Lmao you stole that KGB joke right from The Office US
    2
  38484. I need this right now. I'm taking real analysis 1 rn with the hardest prof in the department, and it's somewhat demoralizing. But I believe in myself and my ability to work hard and learn + succeed in his class :))).
    2
  38485. Can you please refer me to an official source that uses the phrase 'reverse triangle inequality'?
    2
  38486. thank you!!!!!
    2
  38487. Have you heard of the Beast Academy math curriculum?
    2
  38488. Would you have any books you’d recommend to someone wanting to learn computer science?
    2
  38489. You have a new comment
    2
  38490. thank you so much!
    2
  38491. Thank you.
    2
  38492. Do math book giveaway man 😆😆
    2
  38493. great 😃
    2
  38494. I do love blueberry pie LOL
    2
  38495. Right on! Nothing wrong with taking it slow and do it well.
    2
  38496. i actually got surprised for a second, seems like you gave me some interest of maths back, The university teacher is speaking like a i have a doctorate in maths
    2
  38497. What Calculus book would you reccommend for my nephew? I reccommended him the James Stewart Calculus, or Larson, but he doesn't really get the wording.
    2
  38498. Thank u so much. I watched this and solved my assignment question very easily.
    2
  38499. With this pandemic I am doing a lot more math. We should try to make the best of it given the circumstances. Stay positive!
    2
  38500. Besties wake-up!!!
    2
  38501. Thanks!!
    2
  38502. Awesome video, thank you.
    2
  38503. Wheres your ipad and pen or notebook and pen lol
    2
  38504. Thanks, I needed that :,)
    2
  38505. What sorcery is this? It's too helpful, thank you so much sir!
    2
  38506. It's like you guys really seem to take this math thing really seriously, don't you? I starting to thing that i'm aproaching math the wrong way since ever, that's possibily why I never leard it.
    2
  38507. I drink tea instead of coffe.
    2
  38508. Have you checked out Stroud's Engineering Mathematics and Advanced Engineering Mathematics? I bought the 6th edition of the former and the 5th edition of the latter for just a few bucks each, and the first volume alone is 1200 pages. Really unique, application/computational focused style. Would like to hear your thoughts on it.
    2
  38509. Tnkuu s I
    2
  38510. I want to buy a copy in korea...
    2
  38511. I have a book on Diffeology. Really weird.
    2
  38512. Always found it "odd" back in school how I'd blow it on the "even" exercises...🤓 I've seen that book back in mid 80's in high school.
    2
  38513. You are not a math sorcerer, but a math god.
    2
  38514. Good video! But, I still don’t understand how to identify talent in inconsistent education. However, I will do all of these tips. Keep up the hard work!
    2
  38515. Sure thing respected professor! Helpful!
    2
  38516. ❤️
    2
  38517. This is good thank you
    2
  38518. Currently working through How To Prove It by Daniel J. Velleman. I’ve taken Calculus 2 but nothing else after that. Would it be possible for me to work through Spivak or learn more math first?
    2
  38519. There are like a dozen core proof techniques. Seeing them used can help; but the head banging is also needed. Good math texts have the proof techniques demonstrated in the main text before the questions. Like, the lemmas and proofs not in the question section. In that way the sample Q&A has already occurred. Just not in the question section.
    2
  38520. Review of mathematical physics texts
    2
  38521. I don't know why I'm reading the titles of his boooks
    2
  38522. Great review!!
    2
  38523. Thank you !!
    2
  38524. Thank you. This came at just the right time.
    2
  38525. learn math 😊😊😊
    2
  38526. Very nice video ! Thank you!
    2
  38527. I would also like to become better at the (math) puzzles, I have a book of David Welsh and Solving Strategies (Springer) (I bought them randomly in the second-hand store)
    2
  38528. didn't you look at this before you put it up?
    2
  38529. im procrastinating watching this video rn help
    2
  38530. i didn't buy a book i am going to buy this book but this book will be amazing
    2
  38531. thank you so much I spent so long trying to figure this out, in the end it was a simple mistake was making. all good now though.
    2
  38532. Same thing for artes liberales.
    2
  38533. I think it was Ochem, Bio 204, Econ 102 and Poly Sci or sociology actually or something. It was crazy tho.
    2
  38534. thnk bro
    2
  38535. I literally died doing questions on single integral and this guy says double and triple integral exists😭😭😭
    2
  38536.  @TheMathSorcerer  are there any videos on double/triple integrals I am really interested about it.
    2
  38537. You wildin man😭🤣❤
    2
  38538. thank you very much, i understand more from you, than any of my teachers at uni!
    2
  38539.  @TheMathSorcerer  I think I have an original or nearly original copy of “Calculus made Easy” although I can’t remember the year. Unfortunately the spine is removed although the binding is still intact. I think you covered a reprint of that book a while ago :)
    2
  38540. I really really appreciate whatever you are doing
    2
  38541. He looks like Isaac Newton :)
    2
  38542. يعطيك العافيه
    2
  38543. lol that is too easy
    2
  38544. Gold video more of this plz! Do you also have any good advice on how to improve handwriting?
    2
  38545. Thank you
    2
  38546. Love from Ramanujan own land India 🇮🇳🇮🇳 I request you to make one dedicated video on Ramanajan and his work 🙏🙏
    2
  38547. One more reason why engineering (especially electrical & electronics) is the hardest because the maths is not taught from the point of understanding & learning the math in a comprehensive way, but in a way of mugging up certain formulas and expressions of the fourier series/transform, other series & stuff etc. One never really understands where that formula for the series expansion actually came from, because maths, which is the language of the engineering is not known or understood completely. Also, the engineering syllabus, consisting of stuff that you need to learn without actually comprehending all of the math behind it, is vast and almost required to be mugged up.
    2
  38548.  @TheMathSorcerer  You find that all over. If I remember my history of mathematics laplace himself, the great laplace, actually plagiarized the work of other people. Laplace had said "read euler, read euler, he is the master of us all", and now it's well known that euler had made massive mistakes with his acceptance of the "generality of algebra". So it's important to realize that in all the grandeur we idolize the great pioneers of mathematics, these were just men, with all the faults that men come with, if not more.
    2
  38549. I am grateful for finding someone who thinks intelligently and is generous with good advice. My anxiety goes down listening to these videos. I want to become a better writer. I want to stop procrastinati g too.
    2
  38550. I'm having a hard time on graphing rational equations to me it looks like all the info Abt this topic I find on the internet is different I'm not sure what correct what's wrong lots of examples are different and lots of explanations are different
    2
  38551. Thanks
    2
  38552. Thanks sir it helped a lot.
    2
  38553. Any books you could recommend for algebra? 🙏
    2
  38554.  @TheMathSorcerer  much appreciated sir! 🙏
    2
  38555. Can you tell me where you would place Terence Tao's "Analysis I"?
    2
  38556. hey do you know if these books have translation ( like to protuguese). I'm from brasil
    2
  38557.  @TheMathSorcerer  i'll search. Thanks!
    2
  38558. thanks bro
    2
  38559. Weird, i used to do such exercises in school all the time
    2
  38560. I know a lot of people good with their hands. I like to think I’m analytical
    2
  38561. Where are lectures 11.1, 11.2, and 11.3?
    2
  38562. Thank you for your content.
    2
  38563. OOOOORRRRRRRRRRRRRRR
    2
  38564. I need to learn maths from scratch
    2
  38565. Do you consider proving a theorem as solving a problem?or you think they are two whole different things?
    2
  38566.  @TheMathSorcerer  great idea!q.e.d
    2
  38567. Well today is 1% of my battery life from ending, so I'm gonna say that tomorrow is going to be a better today than today, which tomorrow's tomorrow will then be worse than tomorrow's today.
    2
  38568. But then of course, tomorrow's tomorrow should be better than tomorrow's tomorrow's tomorrow, this doesn't mean that we've peaked, but instead that now is the time to do and not a time to postpone. I've been procrastinating on a scary amount of my duties as a student. The reason I originally quit reading infact, I'm very bad at quitting when I'm in the middle of enjoying myself. I'm really liking my books though... I don't wanna write like 4 essays tomorrow, ya know? Well it's the weekend, and the weekend is my work binge, so I should have a good night's rest for that.
    2
  38569. Thanks, this helped a bunch!
    2
  38570. Hmm 🤔 you sir have a very soothing voice. I may or may not have developed a tiny crush 🥰 love the book suggestions thank you!
    2
  38571. .
    2
  38572. ty! so helpful! what bout if theres an operation at back? like 2An-1 + 1?
    2
  38573. Vol. 4b came out this week!
    2
  38574. watching in 2022 and learning python
    2
  38575. This is incredibly helpful !!! Thank you!!
    2
  38576. Vary nice 👍👍👍
    2
  38577. You can refer some Indian Mathematics books which are cheaper than these and easily understandable.
    2
  38578. On a different note, could you make a video on reading math books on E-readers and Tablets?
    2
  38579. DO IT, JUST DO IT
    2
  38580. lol
    2
  38581. I feel disappointed that my college did not highlight the importance of the C programming language. But hey, the internet is great for those who are looking for knowledge.
    2
  38582. Love your videos, please drive safely ❤😊
    2
  38583. I really needed to hear this, thank you!!
    2
  38584. "the power of math compels you! The power of math compels you!!!"
    2
  38585.  @TheMathSorcerer  what does first power means?
    2
  38586. Great explanation in a very structured way... Please also do a video on Cauchy Euler equation and factorization of operators... From Bangladesh,wish you good health... Thank you...
    2
  38587. Which country sir?
    2
  38588. Interesting method
    2
  38589. BASED
    2
  38590. Amazing problem! Thanks!
    2
  38591. Love the unboxing lol 😀
    2
  38592. You can use \gcd in LaTeX.
    2
  38593. what happens if there are no vectors that live in the intersection except for the zero vector? is there a way to guarantee that there will be vectors different than the 0 vector?
    2
  38594. Let's build a solutions list
    2
  38595. Why does this guy literally look like Isaac Newton
    2
  38596. I'm directly opposite to you. I didn't struggle as much with mathematics, getting pretty good in high school after learning advanced algebra and number theory for around 500 hours on my own, then formal logic and analysis for hundreds of hours. In uni I have breezed through master level courses learning them in 3 days when I had good notes, getting best grades without sleep and easily becoming wizard with self-study in graduate level books. My problem is a different one, no matter which problems I solve, even if i spent weeks on it, or how much I relearn certain subjects I mostly forget my own solutions and insights even in a week of doing something different. Same with definitions and all, making me often unable to say anything about the field after few weeks. I often relearn whole advanced subject in three days or so, learning all at once around 70 concentrated pages, only to forget it next few days. But it is frustrating when I want to go even higher, like learn algebraic geometry from Hartshorne's, or Diophantine geometry, where I often have to backtrack because I forget definitions and theorems, when going through it. Solving exercises and hard work, feels like waste of time in terms of getting knowledge, not intuition, because weeks later I can't solve any problem from the previous field without quickly relearning it because i mostly have forgotten it at the time. And when learning the subjects I usually can do all the simpler exercises and solving harder ones doesn't stick, I even often forget that i solved them or how i solved them when asked or rereading. The thing that is welcome though is my intuition which seems to improve, but it is often unreliable, telling me false things, though good at improvising.
    2
  38597. Thank you for this video
    2
  38598. One thing that is good about these "classic" books like Munkres is that they are and have been used like all over the world. There are tons of resources online for these, like lectures, lecture notes, homework problems and solutions related to the book, solutions to the problems to the book, and if you ask on forums like math.stackexchange people there will have done the problems too and can help you. Now even if the book itself is suboptimal, these things can really be a "deal breaker". Just my 2 cents as a self-learner :)
    2
  38599. Is this a new setup?
    2
  38600. Good
    2
  38601. Please calculate the average time required to consume all this?
    2
  38602. get a good book
    2
  38603. Thank you for the explanation.
    2
  38604. Respect
    2
  38605. I'm taking Honors Analysis at UChicago and working 20 hours a week on just that class lol. I love it
    2
  38606.  @TheMathSorcerer  we are using royden's real analysis. Lots of functional analysis and measure theory!
    2
  38607.  @TheMathSorcerer  yeah! :) i think it will be testing but also very rewarding. Love your content btw, it's great to come home at night to some of your videos. They're funny, meaningful, and unique 😀!
    2
  38608. If you do things right you will not get hurt no limit 1 rep max sets train smart and effectively god bless
    2
  38609. Why is your white board so small?
    2
  38610. The best thing of being in a mature age is that you have a mature mind. Many ppl start young but get distracted in bs like partying, drugs, trying to impress people and so on. Good luck guys, I respect and admire you all who is taking this decision. Remember, what someone else think of it or whatever that has to do with your live decision IS THEIR PROBLEM. Let them suffer with the idea. You are INDISPUTABLY doing the right thing.
    2
  38611. Please keep doing book videos !!!
    2
  38612. what do you mean a pure function of x? it’s the part that i can’t understand. thank you!
    2
  38613. me too bro.
    2
  38614. Watching you, flameable maths, and Dotson made me feel dumb xD But that's good, teaches me how to be decent
    2
  38615. This reminds me of the Karate Kid remake: "Your focus needs more focus."
    2
  38616. There's like 5 videos everyday from you... are you okay? :D :D
    2
  38617. Thank you bro
    2
  38618. Honestly, it helps to have a teacher that's as personable and as human as you. Friendly teachers lead to happier students and higher morale leads to a better effort most times. Students, in addition to learning the material, should be made comfortable. Terse, cold, off-putting teachers can increase anxiety about a certain class. I'm not a math major of any kind, but i have a feeling I'd like you as a teacher and as a person
    2
  38619. Hi! I'm shahid malik from pakistan.will you reply me? I want to ask something?
    2
  38620.  @TheMathSorcerer  It's a fiction following a girl who is battling depression. The different parts of depression are characters that she has to face. It's been a project I've been working on for about three years now, I started it back when I was pursuing writing as a major.
    2
  38621. Ordered it last week! 💪
    2
  38622. The plan right now: Engineering Major/Math Minor. There's just so much to Engineering that isn't math, and I feel like I'll eventually be spreading myself thin.
    2
  38623. 85 by Kimberly is a streak of excellence 😂😂😂
    2
  38624. Hey Sorcerer! I am going to begin with this book and was hoping if you could advise me as in how I should approach the book. I have gone through most of Real Analysis by Bartle nd Sherbert and so, hopefully, am quite versed with proof reading and various basic concepts ! Nevertheless, I thought going through this baby here must be exciting and so have ordered for a copy. Any suggestions/ advice for your subscriber/ admirer ?
    2
  38625. Do you suggest solving all the exercises ? Or just going through the proofs (like your friend) would do ?
    2
  38626. Time to grab a pen and copy !
    2
  38627. I use a whiteboard. Is it good or bad?
    2
  38628. Video like this one is good. Something that have not been used for years people tend to forgot such as Math.
    2
  38629. you Sir have just helped me ace my test your absolutely God sent, but just one thing those symbols where not S's
    2
  38630. There's no "finish" in mathematics
    2
  38631. bookfinder
    2
  38632. Have you read any of the Art of Problem Solving books?
    2
  38633. Idky but i would love to have a math prof with a Slavic accent. It just seems like a great fit , or a French accent 😂
    2
  38634. The only time one fails is when one stops and/or quits. Never, never give up, keep going back and trying, trying, trying!
    2
  38635. Most excellent! Thanks for taking the time to make this video. I'd like to find that book. I came across spherical trigonometry while working on a personal project. I used it to determine cardinal East as it rises on the horizon given my location on Earth.
    2
  38636.  @TheMathSorcerer  Thank you so much !
    2
  38637. That is so funny you brought up smelling the book😂 Out of my solid library of math, and even physics, textbooks and books, which because I purchased all of them new I was able to take that first smell of all of them, and Calculus a complete course 9E yields by far the most arousing odor, with Physics Halliday Resnik Krane Vol 1 5E in a cooool second, and in third place... Book of proof 3E. Honourable memorials are the calculus complete course solutions manual and this one intro analysis translated from Russian I believe
    2
  38638. Could you please mention the site you use to find cheap math books?
    2
  38639. I first graduated with an arts degree that I never did anything with (and I'm not interested in pursuing anything in that industry besides as a hobby). I made the decision to go back to school, and I'm currently working my way through an IT/Network-Security program. I've been taking a few math and programming classes along the way which have awoken a strong interest in either mathematics or computer science. I would love to continue my education but I just don't know if it would be worth spending another 3-4 years doing another bachelors. Thanks for the video, this is something I think about constantly.
    2
  38640. I did arts degree course. As a businesswoman, my sister sells souvenirs all featuring my artworks. These are fridge magnets, mugs, signs, etc. I will try designing next bookmarks. Truthfully, majority of artists are bad at business, so they always need career managers like life partners or family members who may be good at business and negotiations. Thankfully, my sister loves business while I don't. Business is not my cup of tea, while creativity is in my veins.
    2
  38641. Aged so well
    2
  38642. i recently got this really old math book i dont know when it was published (it had a library stamp from 1902) but look it up its called tge encyclopædia of pure mathematics it goes over geometry arithmetic algebra calc conic sections and more also which is really cool it has all the ancient number systems from different cultures like the chinese and native mexican ppl its really cool lol
    2
  38643. I don't understand a word of this. ;-P
    2
  38644. Geez thanks for this video... I relocated to Germany and started attending a technical college. I havent done Math in 20 years (40 now) I am struggling with the basics and having issues with writing down the wrong numbers that I am reading. The progress is slow..but progress is progress.....
    2
  38645. The fourth edition exists - I have it, definately excellent!
    2
  38646. 30 mins a day for life
    2
  38647. i just applied for engineering the other day......
    2
  38648. How to concentrate on math problems,how to solve that problems..
    2
  38649. Do you know some website to buy cheap 2 Hand books on math similar to yours?
    2
  38650.  @TheMathSorcerer  thanks a bunch amigo hechicero que tengas un buen día!!
    2
  38651. Pls upload more lectures
    2
  38652. I hate the backwards mnemonic, lol. How about COsine has a variable on each side-- they are co-variables because they've got a buddy. Sine has no s-- Sine is singular. Still pretty bad, I know, haha
    2
  38653. lets get this physics boiiiiiii
    2
  38654. In doubt, do it all
    2
  38655. Thanxx alot
    2
  38656. LMAO
    2
  38657. Thanks
    2
  38658. Thank yoi very much sir! I have followed your lectures well ! Now I got good grade for Differential equation course first step in my university exam !Thank you very much sir
    2
  38659. 👍
    2
  38660. explain the "overtraining our brains " to our teachers who wats us to grasp way too much in a short time.
    2
  38661. It's like the associative property for integers.
    2
  38662. Saved this video to watch later
    2
  38663. I'm glad YouTube recommended me this channel.
    2
  38664. Sir, may I ask how you make this video? What software you use?
    2
  38665. you made it really simple and obvious thank you so much
    2
  38666. Thank you for this. I just took a related rates test and I'm hoping to get a good grade, fingers crossed. All possible with this piece of motivation.
    2
  38667. Great advice!
    2
  38668. Buy as much as books as you can 😂😂😂😂😂😂😂😂😂😂😂😂😂😂😂😂😂😂😂😂😂😂😂😂😂😂😂😂
    2
  38669. pretty chilled explanation. makes it easy to understand🙂
    2
  38670. I am not know speek English 😞
    2
  38671. So then whats the 5 number summary does that include the max?
    2
  38672. I hear students say "This is the last class I need to take before graduating." I reply, "your other courses would have been easier if you had done the math first." After a few weeks, they agree. You know that triple-decker bus in Harry Potter? That was how my journey progressed. Unfortunately, I have a transfer for the next bus. Been watching your math proof videos on Udemy.com. Confidence is building. My midterm and homework on compact sets both due on Monday at 8 am. Your videos are definitely helping. Proof writing skills are a subset of success in graduate school. Thanks!
    2
  38673. 2:03 so true
    2
  38674. Thank you for the tips! I'm going to try out some of those supplies using your links.
    2
  38675. Is he Nth generation of Newton??😶😯🤔🤔🤔
    2
  38676. why does this videos have so little views?
    2
  38677. Thank you , Really helped me
    2
  38678. Tbh my I’ve had the same calc teacher for 11th and 12th grade and she’s phenomenal. I’ve had no problem with any topic because of her (aside from just conceptually understanding optimization) and how she makes everything so simple; She’s so good that I actually enjoyed the disk and washer method a lot. I managed to get a 5 on the ab exam and I hope to get the same for bc. I haven’t taken calc 3 but it looks daunting.
    2
  38679. MIR publishers is not an abbreviation; it means Peace Publishers.
    2
  38680. What about self destructive habits? Like studying 30 hardcore hours of advanced math, then drink lots of beers... its a tough one
    2
  38681. same i'm literally having a breakdown rn lol
    2
  38682. Bro plays League 💀1:30
    2
  38683. big respect professor from india❣
    2
  38684. Is that Newtown? WTF
    2
  38685. Ram Kumar 🥰🥰🥰🥰🥰🥰❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤ hi nhi ixtbh
    2
  38686. JUST DOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO IIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIT !!!!!!!!!!!!!!!!!!!!!!!! 🔥🔥🔥🔥🔥🔥🔥🔥🔥🔥🔥🔥🔥🔥🔥🔥
    2
  38687. Thank you
    2
  38688. Thanks a lot sir.
    2
  38689. thanks man☺
    2
  38690. I'm learning programming. These books might boost my knowledge in some way. I will push through them, will take some years. Thanks a lot, very complete video.
    2
  38691. Wow!!! This sounds exactly how to deal with life!!!!
    2
  38692. Here at 190,740 views.
    2
  38693. 4:30 JIC anyone thinks that once these types of numbers are discussed, you won't see them again and would move on to higher ideas. False. If you progress through a math degree, you'll be discussing types of numbers in Discrete Math, Real Analysis, and texts on Advanced Engineering Mathematics, probably a few more.
    2
  38694. How about integral of tan^2 x sec^6 x
    2
  38695. Hi, im from Argentina and i had a math teacher in college that said those words too. I was wondering if it was also him who said that to you! His last name is Vargas. I know taht the odds are almost null but who knows. Greets and excellent video!
    2
  38696. I got 03/100 in first math exam in HS and got 02/100 in the last math exam of HS life. I suddenly thought that maths looks enjoyable. I will try it my own. Thanks :)
    2
  38697. this is goofy. These aren't just things that a math professor would ever say but that NO ONE would ever say.
    2
  38698. Wow, that Stewart with the violin on the front cover reminds me of my first years at university. Larson's is a good one also, but for beginners I think Calculus by Purcell, Varberg & Rigdon (sorry if I mispelled the surnames) is a beautiful smooth introduction to the subject. I remember the Calculus book by Apostol, it has the best explanation on jacobians.
    2
  38699. I’m incoming 2nd year college student and I don’t know nothing about math because I avoid it when I was is high school. Now I regret for not studying math when I was in high school to build my foundation. Just like they said, it’s not too late.😂
    2
  38700. please don't response will send it my doctors
    2
  38701. Very helpful , I'll definitely try this !
    2
  38702. You are a blessing math sorcerer, thank you a lot!
    2
  38703. Opens Linear Algebra Book: It's Britney bitch! In seriousness though, this is important when starting Linear Algebra. It can seem confusing because of all the notation, but the computation tends to be easier. I recommend making flashcards, or just really understanding the formulas/definitions you're given. They start to cascade, so if you get behind, it becomes a fountain of misfortune.
    2
  38704. Why was I recommended this video if I am doing quantum mechanics 🤧
    2
  38705. Thenks sir
    2
  38706. Plz review concrete maths and calculus by adams
    2
  38707. Can you talk about how the 1800s math book spoke about Heaviside Function, & Laplace? Those discoveries are about 100 years apart might be interesting how it's written in this book.
    2
  38708. It makes me smile when I see so many library books with "DISCARD" stamped on the inside :-)
    2
  38709. Sir, with honour please make a video about "Number Theory". Recommend some books, give advice to learn Number Theory and also share your experience about this Prince brunch of Mathematics.
    2
  38710. What would say are the prerequisites for the probability textbook? I’ve competed calculus, differential equations, and linear algebra. I was interesting in ordering the textbook but wanted your opinion on this :) thanks
    2
  38711. The VON NOSTRAND publications are so beautifully typeset. I love them!
    2
  38712. well right at some degree your statements are legite and i agree with it like in terms of the fact that we human we function only striving for goals and outcomes but the problem that i m having is thatb even tho i have my goal and the outcome it worths string for it idk why i lost chasing in it over time bcz i was so manic about maths since i was like 15 or 16 i was calculating integrals doing combinatorie arithmetics i used to love it and find myself in it and now idk why i feel ahuge resistance toward studying maths and science in general is it the biggest burden that i was carying over these years that got me exahausted and tired i would love someone suggesting me how to hit back up and live like the old days because i miss them and thanks :)
    2
  38713. I started loving maths after I read Theoni Pappas' More Joy of Mathematics ❤️
    2
  38714. Yeay ...I am the first...
    2
  38715. Thanks! Really helps alot
    2
  38716. Can you pls like my comment I'm you big fan sir🎉
    2
  38717. Sign your books 🥰 add like an ebay feature if you want it signed let me know or similar 😊
    2
  38718. Thank you so much for this video
    2
  38719. If your book about the definition of limits is wrong why did your teacher accept the book?
    2
  38720.  @TheMathSorcerer  didn't he teach you you calculus at the time?
    2
  38721. Hahaha. Hilarious!
    2
  38722. Tao-analysis <3 I have it on the table right now, too.
    2
  38723. 👍🏻👍🏻
    2
  38724. Thanks Math Sorcerer. You're the best!
    2
  38725. Good morning
    2
  38726. Thanks.
    2
  38727. You have missed volume 4.
    2
  38728. This is soo true with me
    2
  38729. Thank you
    2
  38730. Oh good recommendation... As a DSP guy, I think I have to revive my discrete-math skills right now.
    2
  38731. Today is the Indianational mathematics day .means today the day when Ramanujan born
    2
  38732. And also a specific timeframe for that goal :D
    2
  38733. Wow thx for the explanation, urs easy to understand thx a lot God bless you more
    2
  38734. Large rubber bands can hold the pages. The lack of worked out answers is deliberate so the professor can "earn" his way - after all that who the book is marketed to.
    2
  38735. Jeff Bezos?
    2
  38736. Read pages 8 through 9? Lol, no maths teacher would ever tell you to read that small an amount of pages. It's more like "read pages 8 through 15, 17 through 20, and the first part of chapter 2. Also try all the odd numbered questions in exercise 1 and the even numbered questions in exercise 2."
    2
  38737. Thank you so much for this, I'm starting college this week and this made it so much easier.
    2
  38738. The human intellect (not the human mind!) cannot come up with a knowledge more precise and reliable than math.
    2
  38739.  @thoranevans4832  lmao are you me? Literally the same situation. I wish I did physics.
    2
  38740.  @TheMathSorcerer  Chemistry is my favorite. Sad you never took it 💔💔😭
    2
  38741. I know two much easier books on probability that I'll comment below. This book was too difficult for me.
    2
  38742. Basically: The terms in a convergent sequence and in a Cauchy sequence approach each other in both cases. HOWEVER, the terms approach each other AND approach L simultaneously in the convergent sequence BUT not necessarily in a Cauchy sequence. Is that correct?
    2
  38743. Inner peace is chain rule 🤣🤣🤣
    2
  38744. I've spent between an hour and more than 2 hours every day over the last 5 years doing math. I don't have a why. I don't intend in my 75th year to ever use any of it...but I have found it just a great way to occupy my mind, keep myself off the street and away from slot machines and video games and designing old ladies...
    2
  38745. Thanks man 🙏🏻
    2
  38746. Wait until you discover Buddhism. There is no self! 😂😂😂. You are always changing
    2
  38747. Yes. It's easy when you actually love the topic or subject. You will wake up early, go to bed late. You will explore it at work. You do deep dives. Math needs the same love plus some. My favor motivation guy is David Goggins, a navy seal who runs DAYS long ultra marathons for fun and charity. His rationale, the average person finds a marathon hard...he made that his baseline, a warm-up. If you make "extremely hard" your new normal, you will always be above average at that topic/niche/subject. So yes, break the balance!💯
    2
  38748. I bought this book a year ago and i must say it was one of the best investments i've ever made ;D
    2
  38749. The term "self study" is kind of a misnomer. When you go to college, that's exactly what you are doing - self studying. The professor is not going to study for you. Even after you get your degree you still have to self-study because learning is life-long if you really want to keep your skills sharp...it doesn't just occur during the college years. What college provides is an environment that helps to motivate self-study and a sense of self as an "academic" or future careerist. The degree to which self-study is easy or difficult depends on your personality type. I read a psychological study at university that showed that some portion of students with a certain personality are able to self-study easily because they don't need the motivation derived from the social environment to help them learn...in other words they are very self-sufficient. Others, on the other hand, have a need for the social environment to help spur the learning process. They learn ideas more readily when the transfer of ideas from book to brain involves social interaction.
    2
  38750. My luck with you has been astounding
    2
  38751. I tried this today. I decided that I wanted lentils for lunch instead of dinner. Big success. I should set time aside every day to think about what I want. I feel like I should want something big, but I don't really, at least not right now.
    2
  38752. Never listen to Eminem while studying math.
    2
  38753. Definitely harder to read - mechanically. I hate the modern large format textbooks with all the idiotic white space, color emphasis and over-explained with too many graphics that break up the text. It is very hard to truly focus and THINK compared to the early editions. I have geometry books from 1900 that are compact and very thorough with greater depth than any modern school textbook, and easier to study. And I don't mean just for me. I taught math and physics in public school fairly recently, where the massive text books are so full of marginalia filled with inclusiveness and equity (as if math and physics did not apply to everyone in the past) that it is not easy for the learners to find the key points. Or at least what I would call the key points, which is the math part. I used Thomas in college and kept it as a reference. An early edition is a worthwhile addition to anyone's bookshelf.
    2
  38754. BECOME a math wiz, by SORCERER, nice bait bro.
    2
  38755. Can u plz suggest me a book on calculus?
    2
  38756. Oh elder fleet & strong & wise... You appeared before my seeking eyes!
    2
  38757. Excellent way of explaining. Night before the submission date. Thank you Sir
    2
  38758. These days people think Ramanujan died of hepatic amoebiasis, which was caused by latent parasites he was exposed to in Madras. The doctors treated him for tuberculosis because of the similar symptoms. Sadly, I think hepatic amoebiasis was curable at the time but the doctors in England didn't make the connection because they were more used to seeing tuberculosis.
    2
  38759. I got a 1927 printing of Euclid's Elements, I think it's a tad older.
    2
  38760. You said that there are people who study maths to make themselves appear smart. But I on other hand realize how much I don't know.
    2
  38761. I found engineering to be too practical, so I switched to math.
    2
  38762. "And we all know who that was...😑"
    2
  38763. Thank-you sir
    2
  38764. Got that 2% for knowing and writing their own name on the test.
    2
  38765. Thanks for this, after putting it off today I'm going to apply for maths and computer science BSc at University of Manchester (currently at Queen's University Belfast just doing computer science) Your videos make me want to explore maths thanks
    2
  38766. You know that you are dealing with a very serious mathematics teacher when they get high just on the sniff of pencil-lead.
    2
  38767. I probably shouldn't have watched this.
    2
  38768. Yes indeed!
    2
  38769. Every single video you upload, is a treasure for me. Thank you so much. It's my birthday today and I am so happy I saw this video for even more motivation!
    2
  38770.  @TheMathSorcerer  thank you so much! ❤️
    2
  38771. Loved this video ... nice done and covers a tone of different mathematics books ... please, more ... Thank you!
    2
  38772. Let Q be a group of rationals under addition then show that any finitely generated subgroup of Q is cyclic.
    2
  38773. Amazing video. Thanks very much.
    2
  38774. cool presentation 😎
    2
  38775. How is he holding the marker?
    2
  38776. When Joe Exotic is better at math than you
    2
  38777. oh god, your hand writing is almost identical to mine - it was giving me flashbacks to courses a decade ago to see you thumb through the pages
    2
  38778. Good coverage of multiple integrals in Thomas Finney
    2
  38779. Thanks 👏👏👏👏
    2
  38780. 👌👍
    2
  38781. I have the same pencil sharpener this is awesome
    2
  38782. First year Economics student here, your videos saved me when I was doing my mathematics module. Thank you
    2
  38783. i do more of the careful, slow approach bc i feel like i learn more. i supplement this with videos and lots of practice problems. that said, when i DO run into problems that I simply do not understand, even with the solution in front of me, i find it very hard to move on and very demoralizing.
    2
  38784. Good for practice ty
    2
  38785. "So far"? Sounds like a big hint that more will be forthcoming?!??? 😃
    2
  38786. Im taking LinAlg and Cal3, then a few engineering classes which isn't crazy. But a girl I know is taking Diffy, Lin and cal3 and she just shrugs. Its all about your perception and approach.
    2
  38787. Thank you, That' what I need actually since I'm struggling with phys and cal2 and others more 👏👏👏👏🤙
    2
  38788. We need arabic subtitles 😥💔
    2
  38789. Stewart starts from functions and its a very superficial book, you learn bad and easy stuff nothing else. Spivak it's a bit better, but still superficial, easy and not serius You can sell it and not feeling loss
    2
  38790. And to be complete, even Pugh - Real Mathematical Analysis its well done and a great book. But maybe too much in a little book
    2
  38791. I'll keep this video in my "quite valueable videos" library. Thank you a bunch for your kindness on sharing it.
    2
  38792.  @TheMathSorcerer  P.S.: I'll be enrolling in your Udemy courses after this video, absolutely.
    2
  38793. GLOSter and maybe GOOD uh NOW.
    2
  38794. 0:40 in an ideal school this sounds awesome because it saves time and effort
    2
  38795. fourth
    2
  38796. I just transferred from a community college to UCR, and my first quarter as a pure math major I am taking linear algebra one, intro to set theory, and advanced calculus. Your videos have been very helpful, and I am also interested in grad school. I was able to skip some PR and jump into the advanced calculus course a year early. Mapping out my first year it looks like I will have the PR's done by senior year to join a 200 level class (with advisor approval I am sure). Do you know of any students who are able to take a graduate level course before completing their bachelors degree, and if so does that help with your chances of getting into a program?
    2
  38797.  @TheMathSorcerer  thank you for the response! I love your videos by the way. They help me a lot for real analysis right now
    2
  38798. you are hahahaha
    2
  38799. Why is he wearing a shock collar?
    2
  38800. Thanks for the video. You should consider using a lcd writing tablet, I know nothing will beat or feel like paper and probably won't look as good on video but you will save some money I think.
    2
  38801. I don't mind helping friends only in moderation, providing that they study, not cheat or be lazy: otherwise they waste your time and hard-won talents.
    2
  38802. Tao is brilliant but he is also human. Tao is not God.
    2
  38803. whenever reading a text book, I always try to get into the problems as soon as I could it helps me not get bored very quickly.. my advice is to get into the meat(problems) as soon as you can
    2
  38804. thankyou thankyou thankyou thankyou thankyou thankyou thankyou thankyou thankyou thankyou thankyou thankyou thankyou thankyou thankyou thankyou thankyou thankyou thankyou thankyou thankyou thankyou thankyou thankyou thankyou thankyou thankyou thankyou thankyou thankyou thankyou thankyou thankyou thankyou thankyou thankyou thankyou thankyou thankyou thankyou thankyou thankyou thankyou thankyou thankyou thankyou thankyou thankyou thankyou thankyou thankyou thankyou thankyou thankyou thankyou thankyou thankyou thankyou thankyou thankyou thankyou thankyou thankyou thankyou thankyou thankyou thankyou thankyou thankyou thankyou thankyou thankyou thankyou thankyou thankyou thankyou thankyou thankyou thankyou thankyou thankyou thankyou thankyou thankyou thankyou thankyou thankyou thankyou thankyou thankyou thankyou thankyou thankyou thankyou thankyou
    2
  38805. Where can I find more examples?
    2
  38806. Do you write with a pen/stylus or do you use a mouse?
    2
  38807. Where is the link to the lectures that you promised ? I can’t find them in the description
    2
  38808. This video was awesome. Thank you very much.
    2
  38809. Stupid me actually thought that the integral of (e^x/1+e^×) is arctan but then i realised that the nominator supposed to the sqr root of e^x for that to happen i hope you got my point 😅
    2
  38810. Thank you very much.
    2
  38811. I'm definitely going through this rn🤧and yes, studying more would help😅
    2
  38812. I listen to many math tutors like I listen to many geniuses like Richard Feynard. I also follow nerds around in Facebook, Twitter, Stackoverflow, etc and see how I can go brainpicking them.
    2
  38813. 👍👍
    2
  38814. I go to the University of Waterloo and unfortunately they no longer use this text (at least in my honours math classes).
    2
  38815. Pretty much follows immediately from the definition. The closure is the smallest closed set containing that set, and since the closure of Y contains itself, and is also closed, therefore the closure of the closure of Y is just the closure of Y.
    2
  38816. That’s funny!
    2
  38817. Hey wouldn't be a bad Halloween costume.
    2
  38818. thank you!! my teacher is really weird like anyone could understand him and the thing is next year i m going to have a BIG exam and i don t know anything
    2
  38819. Vertical line test fail in this function. So how can we call this a function ?
    2
  38820. Okay thanks
    2
  38821. You should upload a course on Number theory
    2
  38822. Sir plz recommend the books for functional analysis ( basic to advanced level )
    2
  38823. I learned how to solve this with the quadratic formula.
    2
  38824. I hope I didn't leave any of my tests in my old math textbooks for the Math Sorcerer to find and re-grade on the internet
    2
  38825. You are probably right. Theory for PDEs can be excruciating even though not a whole lot (relatively speaking) can be done with theory for nonlinear (it mostly has to be done numerically). However, any class can be made difficult.
    2
  38826. love your channel…but you greatly overestimate the knowledge and commitment of the average math teacher. I tutored some kids at HS level in the Chicago public school system..explained how Pythagorean theorem was a special case of law of Cosines and walked thru an assigned homework problem of a 50-60-70 triangle..the teacher told them that CPD only recognized pythagorean and use it even if answer was different than text book. 🙄
    2
  38827. You have a lot of early human characteristics in your face. Not a bad thing.
    2
  38828. Nice explanation, truly inspiring.... Get on , sir..... Looking forward
    2
  38829. I've learned two foreign languages by full immersion. I can confirm your experience.
    2
  38830. amazing, so easy to understand! thank u!! (:
    2
  38831. Excellent video, you book smeller! LOLzzz
    2
  38832. Repetition is the key! That's it. Revise as much as you can. Like Richard Feynman said, I am just an ordinary person who worked extraordinarily hard.
    2
  38833. I actually might use the cop-out phrase "it's a conceptual move not an algebraic one" one of these days 😂
    2
  38834. During the 1980s, specialized book sellers in Buenos Aires offered a selection of math, physics, and engineering books from Mir Publishers. These books were originally written in Russian and translated into Spanish in Cuba.
    2
  38835. Wish everyone was like you
    2
  38836. Brother thanks for help
    2
  38837. "Welcome to the class. This is calculus..... 7."
    2
  38838. Wish I could give this video several thumbs up! Also, very happy to see the Silvanus Thompson book "Calculus Made Easy", which I rented from the library back in my first year of college and gave me a much easier time of understanding calc.
    2
  38839. I feel like this video was for me. Oh my goodness.
    2
  38840. Hye
    2
  38841. own it agreed on your take
    2
  38842. I recently found your channel a few days ago. Im really happy I did. Im going to school to be a Math Educator (High School) and currently taking Diff EQ and struggling. Thank you for this video. Ive got this!
    2
  38843. 18 minute video sounds enough 😂😂
    2
  38844. Really, your videos fill this vacume on youtube. Thanks a lot!
    2
  38845. I wanted to ask you have u read the book -" Mind for numbers" by Barbara Oakley and what is your opinion on that book personally think is a great one and can remove the fear of some people from difficult subjects like Math. I'm asking because in that book the author discusses the same idea u just mention when people get stuck with something hard they need to get away from the subject and let their mind rest and get back later.
    2
  38846. First view
    2
  38847. There is no finish to mathematics
    2
  38848. When I'm in a mental funk, going for a mindful walk in nature allows me to go back to work refreshed and with new insights.
    2
  38849. I think if you take the hardest math classes you can for some reason the math you need for your job becomes just putting in the time to read vs feeling lost or not having a clear understanding
    2
  38850. You're right on target!
    2
  38851. Does the cover up method work for all partial fraction problems?
    2
  38852. There can't be a square root in the denominator but thank you this really helped. Especially with the 2020 apocalypse.
    2
  38853. Some of classmates went past calculus 1 in that age period , lol
    2
  38854. thank you!
    2
  38855. Thanks bro
    2
  38856. Excellent
    2
  38857. It wasn't until I started tutoring people in uni that I realized how hard math is for most people.
    2
  38858. I love these videos.. They are great morning coffee brain teasers to see if I can match the answer before I finish the video. I also love them more than I love crossword puzzles! I'd love to see more!
    2
  38859. It’s whatever is taught by the least comprehensible professor. You did address this, and Real Analysis is certainly hard. But MY discrete math prof could not manage to explain MANY really simple ideas. A lot of people changed majors because of him despite him being regarded as brilliant. Maybe academia needs to revisit allowing gifted researchers and gifted instructors to do what they excel at and discard the presumption that every academic should be competent at both instead of forcing people do demonstrate their particular weaknesses at the expense of everyone involved.
    2
  38860. Math Sorcerer, you are saving my GPA! Thanks again:)
    2
  38861. Pretty Nice and Simple!
    2
  38862. Its not just a known unknown, it's an unknown unknown
    2
  38863. Very cool book. I happen to have one of my grandparents books (a Bible actually) and I swear it smells like fresh cedar wood. It does not even smell like paper at all, it smells like wood. And Yes I realize paper is made from wood, but they usually don't smell quite the same.
    2
  38864. Honest proof
    2
  38865. thanks sir from pakistan
    2
  38866. This is awesome! I want to give it a try
    2
  38867. What advise have you got for me? First year CS undergraduate mature student, no previous experience with programming. Feeling completely lost on a sole arrangement, as the teachers can not shrug enough. Currently drowning among 6 or 7 programming language( " DON'T EVEN KNOW HOW MANY LANGUAGES ANYMORE"). What do you think? am I screwed?
    2
  38868. Breaking the balance is needed to sense the joy of any revelation.
    2
  38869. No doubt teacher Your every lecture on calculus Good huge respect from pakistan Love you but Tell me Calculus book where to i start In BS maths thanks
    2
  38870. Since you cannot seem to find them, AGS has a book on Pre-Algebra They also have a book on Basic Math that covers addition, subtracting, multiplication, division, fractions, decimals, percents, ratios and proportions
    2
  38871. Thank you ❤️
    2
  38872. Another one I recommend that I wish I read earlier that has helped me through out my journey is “A mind for numbers”
    2
  38873. Thank you I’m studying to get my ged I did good in every other subject I’m very confident I’ll pass but math is one subject I’m not so familiar with it’s hard to remember all the formulas and I take forever just to finish one problem cause my mind begins to race and I just wanna get the problem done as quick as possible I needa slow the process down in my mind
    2
  38874. That's ANOTHER book that I have in my private math library here in my home!!! Thank you for reviewing it!!! ❤❤👍👍
    2
  38875. Why don’t you cut your finger nails?
    2
  38876. Wow, you are one of the good math teachers I rarely found
    2
  38877. Thanks Math Sorcerer.
    2
  38878. Can I get those books without payment on internet??¿
    2
  38879. I love you videos, saludos desde Latinoamérica!
    2
  38880. Hi, the Chinese characters appear at the beginning of the book, claiming that the book came from a library of the Sichuan university in China.
    2
  38881. Really I can understand for your explain. My preparation is very easy after your class ....👍👌
    2
  38882. Great video
    2
  38883. I just finished Calc 1. Is it worth going back over my precalc textbook? My precalc grade sucked and before I did very well on the final, my calc 1 grade sucked too (finished with a low B). Or should I just stick to reviewing my calculus textbook at this point?
    2
  38884. Second
    2
  38885. None of it makes sense, too many syllables.
    2
  38886. One step at a time. I always treat each information as a gold nugget. Clump all the gold nuggets together and there you have a gold bar which is metaphorically knowledge. Collect gold bars and you have talent.
    2
  38887. I just got 100 on my calculus 2 mid terme (in person exam) so this gave a real confidence boost😊
    2
  38888. This is so true and can relate to all your video and can understand alot from it I wish to see you and make more video.
    2
  38889. Sorry to say but it is amazing...
    2
  38890. All of the casino games except Poker.
    2
  38891. pls explain this “little d” concept tomorrow I’m so interested yet confused :-(
    2
  38892. Sir where do u live I really want to meet you
    2
  38893.  @TheMathSorcerer  Sir I live in India and I admire you very much and like the way u teach, review etc.
    2
  38894. Could you do another induction proof via the strong induction?
    2
  38895. I go to a library or a donut shop. I have very high quality white noise to play on headphones to mask noise. I made the noise myself - much better than most other sources. Email me and I will send you the wav file. wav files are easier on cell phone batteries.
    2
  38896. What's your name, if you don't mind? You always call yourself The Math Sorcerer...
    2
  38897. Fun one!
    2
  38898. Wow! This is the kind of book, that makes you think differently.
    2
  38899. lots of books, can you maybe open one up and solve a problem with us?
    2
  38900. C immediately.
    2
  38901. Interesting note that Brian Kernighan actually invented the hello world program but not in “C”, it was for the language “B”, great video!
    2
  38902. Time, i wish my teachers could understand that. I don't have time because I've got exams. And its these exams that mess everything up
    2
  38903.  @TheMathSorcerer  kinda sucks, cos i enjoyed maths up until i got into the exams phase of my life
    2
  38904. Great advice. Having a positive attitude applies to all aspects of life, especially personal relationships.
    2
  38905. Playing this video at 1,5x playback speed. IT'S ABOUT SPEED MAN.
    2
  38906. Thanks from Austria (not Austraila lol) toooo for being ouer Math-Gandalf
    2
  38907. I'm doing Engineering and this video really spoke to me
    2
  38908. Gracias.
    2
  38909. Hey man, those are some really great advices! Thank you for sharing your knowledge. Do you know how can i start to understand where all formulas and laws come from? I'm almost starting university, i know how to resolve a lot of problems, but i can't get to understand where laws and formulas come and whenever i try to ask teachers or friends of mine, nobody has an answer that is logical. Thanks!
    2
  38910. Hey thanks! I'm going back to college in January and I'm preparing myself for math class because it is a challenging subject for me. I'm shooting for As in math. You're really putting this in perspective for me. I appreciate you.
    2
  38911. Wow
    2
  38912. I had to stay up late to see your awesome books. I think I bookmarked one last week. Have a good night. 😊
    2
  38913. Thank you mate! But I’d like to be a beast at maths :’(
    2
  38914. thank you
    2
  38915. YES!
    2
  38916. Thank you sir
    2
  38917. Have you ever done an interview with one of your old math professors or old graduate classmates?
    2
  38918. I had a big dream once, thank you I will revisit it.
    2
  38919. Why is this jumpscare of a person in my recommended lol
    2
  38920. This is the book we use in our B.Sc math program 1st year 1st semester in Sri Lanka 🇱🇰 For calculus 1
    2
  38921. I really needed to hear this. About 8 minutes into this video I started to pause and really think about what you were saying. It almost felt like this video approached me at just the right time (which motivates me to learn more about algorithms lol!)
    2
  38922. Why is it that there are commonly no answers in the back of analysis books?
    2
  38923.  @TheMathSorcerer  Does anyone know if there is a specific reason to do that? Or are authors just lazy? (just kidding) I find it difficult to study a book without any feedback on whether my solutions work
    2
  38924. Do you have one video for Science too I wanted to learn science from basic to advance.
    2
  38925. Thanks 👍 love your video
    2
  38926. What book would you recomend for a grad student to learn partial differential equations?
    2
  38927. 5.
    2
  38928. I just finished calculus 2, but I didn't find it to be much harder than calculus 1. Both were challenging though!
    2
  38929. Nobody cares what the domain of your function is.
    2
  38930. You're heaven sent. I've been looking all over the pace for books that would be a good start to my independent study and haven't been given any concrete direction until now.
    2
  38931. Great advice😢
    2
  38932. Please help me with high school math
    2
  38933. Please make video explanation of inverse trigonometric function
    2
  38934. Came across this video by chance,you seem very passionate about mathematics +100 Respect to you sir
    2
  38935. LOL
    2
  38936. amazing!!
    2
  38937. is it just me or he looks like einstein
    2
  38938. Take a bow, Math Sorceror! This video allayed my hang-ups and anxieties that I had developed when I compared myself to others in the graduate level courses I took all those years ago. (I allowed myself to sink into pits of despair when some of my fellow math majors seemed to magically grasp all sorts of concepts that I found very difficult. Much to my regret, I bailed on the Ph.D. program I was in.) Well, having said that, I'm off to view your "10 Best Study Habits For All Math Students." I'm determined to reteach myself certain topics that will help rekindle the zeal I felt when I originally began to tackle my dissertation. Thanks so much!
    2
  38939. Nah, i have a classmate in high school who was my competitor from elementary and he learns algebra at 4th grade while i learned it when we became classmates which is 7th grade but then less than a year passed and i am now way more advanced
    2
  38940. Eureka! Thank you very much!
    2
  38941. I’m about to start online math tutoring for high school, what books would you recommend for me? Give me a feedback please. Thank you sir.
    2
  38942. thx man thats really inspiring i think i am gonna try that then write the results
    2
  38943. We need some lectures on nuclear fusion mathematics starting from the basics . Thank you kindly.
    2
  38944. his skin is so pale. im almost blinded. btw he is right.
    2
  38945. This is giving me PTSD from the one calculus class I took... 3 times
    2
  38946. I can make this easier and bypass all the BS written in these financial investing books. Put all your $ in the S&P 500 and leave it there forever. Over time GUARANTEED to make incredible money. Financial advisors are used car salespeople!
    2
  38947. I'm sure this book has its own merit; however, lots of problems in life you just need to tackle, and inspirations will come. Thomas Edison find the solution for the light bulb just by keeping on working until finding the solution! Try try again and again!
    2
  38948. Cha gae sir aap to
    2
  38949. Maybe taught in cosmology?
    2
  38950. Math is just as easy as minor subjects. What you only need is the right path, and that right path is following the basic rules
    2
  38951. best video ever
    2
  38952. Thanks!
    2
  38953. Thanks, this is helpful.
    2
  38954. I didnt use my textbook once in last math course
    2
  38955. "We can't just give up just because things aren't going the way we want them." -Piccolo, DBZ
    2
  38956. The last Math teacher Jedi. May the force be with you
    2
  38957. I would've tried to write each complex number as a + bi, but I get the feeling it's more powerful to do it with conjugates as in the video. Where else do conjugates come up in proofs of complex numbers like this?
    2
  38958. 3 steps would help: 1. Identify your curiosity-based motivation 2. Know the structure of math and its uses 3. Learn how to learn math Why? Learning math isn't only about grade or degree, it's a long lasting journey.
    2
  38959. It's it just me or this guy looks like Jeff Bezos with long hair
    2
  38960. This is my worst nightmare
    2
  38961. Love the videos!!!
    2
  38962. Again sparked my curiosity so I’m going for it
    2
  38963. Thank you this was actually very helpful
    2
  38964. This is excactly what i need!❤
    2
  38965. You're a savior my dude!
    2
  38966. hello! could you share ur mic setup buy link?
    2
  38967. Just one for me, Mathematical Methods in Engineering. Like you I have done nothing to prep for this semester; I plan on putting it of just a little bit more until I achieve "situation critical" status.
    2
  38968.  @pinklady7184  Thanks for the input. I graduated 6 years ago. Right now, I'm focusing on just self-studying math and physics. I haven't even started calculus based physics yet. I don't even know how to start studying that effectively yet lol
    2
  38969. Iam interested in Applied Mathematics and String Theory
    2
  38970. ❤
    2
  38971. I like to use this type of ven diagram to think about this topic: https://www.huffpost.com/entry/why-passion-isnt-enough_b_11347060
    2
  38972. I use self-talk: when I'm stuck I tell myself, "you will figure it out", "you should take a walk and think about it", "you should read another source". The key is using the second person pronoun to feel like I have external motivation. Really does make a difference in the likelihood of me staying consistent. Like your motivating videos.
    2
  38973. YOU ARE THE BEST
    2
  38974. OMG. 🤣🤣🤣
    2
  38975. Very original content that I cannot find from other channels. Thanks so much! 👍🏻👍🏻👍🏻
    2
  38976. Those prices though 😬
    2
  38977.  @TheMathSorcerer  thank you 🙏
    2
  38978. Obsession and a certain degree of talent/gift. These ingredients vary depending upon the areas of interest. Spitballing off the cuff
    2
  38979. I know this is supposed to be satire but I promise this is a freaking documentary of my calc 1 and 2 professors. This is scary true.
    2
  38980. Well I only have seven books from algebra, trigonometry and calculus, but I swear I will finish them and keep learning
    2
  38981. Hey sir, since it is almost Christmas do you have any tips on saving on math books?
    2
  38982. One word : "Thankyou" And a few more, that even I learn maths (and many other subjects) better by reading from a book rather than watching a video or probably even listening to a lecturer who doesn't know how to teach. The only problems with learning math that way are that first of all, reading takes up a lot and a lot of time and secondly, the math can only be fully learned by not just reading text but by even going through the problems and solving them. I also tend to forget the math that I've learnt if I stay out of touch with it.
    2
  38983. Thanks
    2
  38984. Can you recommend a good beginners trigonometry book for self study?
    2
  38985. LOL
    2
  38986. I am afraid sometimes to reflect as I feel like I am wasting too much time and should be getting more problems done. Quality or quantity ? that is the question
    2
  38987. Sir Hi, I have a big request from you, I wanna ask you for a very good algebraic geometry which I can download
    2
  38988. there was too many wrong information in my brain and i mixed up everything i guess but you fixed it so thank you
    2
  38989.  @TheMathSorcerer  thank you
    2
  38990. A mathematician is a person that in order to do something for you is supposed to do something you can not do. Is this elitist?
    2
  38991. 😎
    2
  38992. Sir how I can download it pdf
    2
  38993.  @TheMathSorcerer  thank you sir
    2
  38994. Thank you Jeff "The Math Sorcerer" Bezos.
    2
  38995. What camera are u using?
    2
  38996. i see your upgrade <3 respect the vision
    2
  38997. Thank you so much sir ☺️
    2
  38998. How dare you make fun of the beautiful, magical place that is wolfram alpha.
    2
  38999. Thank you
    2
  39000. Thank you very much. It is the first time i understood the difference between these two
    2
  39001. Where do I buy this book??
    2
  39002. jeff bezos in a wig
    2
  39003. This is a banger
    2
  39004. Amazing!
    2
  39005. thx
    2
  39006. you look a little tired today, hope everything is well. great video as always! hope you mention us statistics guys more in later videos :)
    2
  39007. I'm watching this for my ACT. Hopefully, will work :)
    2
  39008. deeply smells book in appreciation -instantly subscribed.
    2
  39009. I like that; how much old are you? This gave hope for some people Who said that mathematic is for young; but truly is for any where and any time; and now I just starting on programming C(in old time) and C++ just newly.
    2
  39010. You can’t be a sane person and learn maths at the same time
    2
  39011. I still am able to work. I am thankful for that 🙏😊.
    2
  39012. I’m doing a pure math degree at Penn State and I want to go to graduate school to get a PhD. Do you have any suggestions on how to make yourself applicable to non academic jobs without a pure math degree? Just as a backup.
    2
  39013. I am a retired research organic chemist, who has a lot of time on my hands. My study interests are computer programming, math and more advanced physics where I need more math. Since it has been a long time since I was in school, I watched the Professor Leonard math class videos. Although they were a little slow paced for me I found out how much I still remembered and forgot over the years. I also watch som MIT Open courseware videos, but as you say, problem solving is key to reinforcing learning. I'm currently working through Miroslav Lovric's Vector Calculus that I find really well written for self study and good problems. I only had time for Div Grad and all That .... when I was in school. Next review is Strang's Linear Algebra. A good tip for book buyers is buy the older addition and you save a ton, almost the same content. There are a lot more online resources for programming, but currently learning Python and am interested in Haskell. I learned C and Java before so Python is easier. I just try to do a little at a time but be consistent, quit for the day when I get bogged down, plus I need to enjoy other things too. I will look at more of your videos.
    2
  39014. Dover books are amazing.
    2
  39015. It does not matter how old you are. You are still able to to get a little better than you are now.
    2
  39016. I'm about to do whats called a CONCEPTUAL move
    2
  39017. Tq sir
    2
  39018. Whoa, I had this guy in college. Seriously, the class test average was consistently in the 30s. He had the reputation of being a super genius, so students did not complain for fear of being ridiculed. How smart can you be if you can't teach your subject so students can understand it?
    2
  39019. Ha! I used Thomas for Calculus in 1976. I still have the book, and like flipping through it. I eventually took 11 semesters of Calculus in college and grad school.
    2
  39020. thank you so much, thats was so helpful
    2
  39021. Thank you bro... That helped me a lot 😊😊😊
    2
  39022. Elon Musk said only 1% try again after failing repeatedly.
    2
  39023. I have been searching for a Channel Like this. Thank you so much!
    2
  39024. Thank you for this video, Math Sorcerer!!! I will definitely teach myself and one day I'll become a great mathematician!
    2
  39025. Following this channel is seriously bad for my bank account balance! Just ordered a copy of "Advanced Engineering Mathematics" by Kreyszig. My book purchasing problem was bad enough before discovering The Math Sorcerer. This is only exacerbating the situation!! :p
    2
  39026. Thanks mate!
    2
  39027. Good luck. Sending love.
    2
  39028. only if it was..
    2
  39029. Which book should I buy there are so many 🔥
    2
  39030. Thank you very much. If be honest, im lucky to see this video at the time, when I rethink about a lot of things. I was really surprised listening you, because your thoughts are similar with mine. I hope that this video those who need to see it will see it, as I once needed it! We are not stupid, we good enough to understand everything that interesting to us, but we all should be patient to oneself and wait to suitable time... And once we will recognise that everything was worth!
    2
  39031. I'm not even a math major, but I absolutely love this dude!!
    2
  39032. There is a certain joy in successfully working a problem.
    2
  39033. This helped a lot, thx (u got a new sub)
    2
  39034. Awesome teacher
    2
  39035. It's "probably" not going to happen that you're going to get a job writing proofs? More like, it's impossible to happen.
    2
  39036. Most people will see fractions, and make a run for it!!! LOL!!! I forgot which mathematician added 1 to 100 super fast as a child and the teacher didn’t believe him. Anyhoo, this is almost the same thing but you are subtracting to simplify the equation. Then, matheMAGIC happens with fractions, with some logic of course.
    2
  39037. Please give a review on geometry book 😊😊
    2
  39038. Heyyy thank u sooo much man!😃 Great job! I literally got confused reading my textbooks.. This video of few mins just gave me a thorough knowledge of those samplings! Biggg thanks and love to u❤️ god bless!
    2
  39039. he is so fun and adorable
    2
  39040. this brings me bad memories Uwu
    2
  39041. thanks
    2
  39042. I wish this video was uploaded earlier.
    2
  39043. Soviet books were famously dense, compact and straight to the point. They require effort and concentration. For students who love a good challenge.
    2
  39044. ❤❤❤❤❤❤❤❤👍👍👍👍👍👍👍
    2
  39045.  @digvijaygadhavi7418  from India as well. And also a jee aspirant. I'm planing to study throritical physics in iisc Bangalore. What about you
    2
  39046. I have this book but a non original one
    2
  39047. Yes, it helped!
    2
  39048. wonderful video. thank you!!!
    2
  39049. Bruh! You have two "best abstract algebra book for beginners" on the same playlist! I'm confused which one should I choose?? Link to the other one: https://youtu.be/DTWq9gqAXYo
    2
  39050.  @TheMathSorcerer  thank you. After reading so many reviews on the internet, I thought of settling on Gallian. Thank you for exposing me to both of them 😊
    2
  39051. I am always quite quick at understanding mathematics, but it's because I was brought up to love it. When you enjoy something, you'll stay focused and be more receptive ^^
    2
  39052. "This move is a conceptual one, not an algebraic one" Lmao
    2
  39053. "There are no page numbers, what the heck?" I had exactly this moment.
    2
  39054. The detailed explanations are amazing. Loving the energy!
    2
  39055. I have that textbook as the introduction to proofs. Unfortunately, the professor who uses said textbook makes the problems become curveballs in his quizzes, and I loathe that kind of learning. Doesn't help I am forced to solve them in under 12 minutes.
    2
  39056. Really 🆒
    2
  39057. The fact that someone told you, you can’t do it, should be your driving factor. PROVE THEM WRONG. If someone tells me I can’t do it, I prove them wrong. I too would myself love to get a ME degree, however it does not make financial sense for me to do so. I make now what ME make. I love engineering, solving those problems, which is why I do what I do for a living.
    2
  39058. Man, you look like Newton
    2
  39059. Looks like I'm headed to the appendices of my own Stuart's Calc book
    2
  39060. Thank you
    2
  39061. A very good lesson Indeed!
    2
  39062. Why he is so jacked
    2
  39063. Is it normal to have a lazy half month? 😅😅
    2
  39064. Thank you soooo much
    2
  39065. Thanks for your guidance
    2
  39066. My first language was 6502 Assembler and it took me quite some time to learn and get used to C growing up. Today I use Python and C++ primarily. To me it is about utilizing abstractions as long as there is a clear understanding of the architecture.
    2
  39067. hey I just took grad analysis I at the Courant Institute (basically just a rehash of undergrad advanced calc) and it went okay, was wondering if you would recommend taking analysis II next semester? (Its basically a class on measure theory, i.e. actual graduate level analysis, but it's actually considered an elective in my program rather than a requirement!) If one were to take a class on graduate level measure theory, would you prepare beforehand and if so how? Is the material vastly different than regular advanced calculus, or does it build nicely off of it? I know you recommended Folland's measure theory book in some other videos.
    2
  39068. Maths is not an tough subject need is to grab nd understand😄😄
    2
  39069. Thank you 👍
    2
  39070. bro, thank you so much for this
    2
  39071. What are some PDE textbooks/resources you find useful? Also, what is your take on teaching a subject (ref. R. Feynman) to help retain the material in our currently physically distanced society? I'm new to your channel, so you may have already covered my questions, in which case, please disregard. Thank you!
    2
  39072. Nice video sir
    2
  39073. To learn maths from scratch, from which topic should I have to start, please let me know sir.
    2
  39074. Thank you !
    2
  39075. Bro when I see u i become genius
    2
  39076. God bless you so much ♥️ you have no idea how much you mean to so many of us🥺 you’re the YouTuber I go to when I feel sad, because after almost every video of you I leave feeling more reassured, motivated and understood! Love you!!!!
    2
  39077. Where are you from?
    2
  39078.  @TheMathSorcerer  I thought tou were from U.S. When you said you weren't a native English speaker, i guessed some country from Europe like Greece, France, Croatia,
    2
  39079. Welcome to Europe 😁
    2
  39080. Sir, I am Msc Mathematics student and it is not going well😑.. lately I just came across your YouTube channel which is really motivating and inspiring ❤️👍
    2
  39081. I want a real analysis book can you review please sir...
    2
  39082. Love how you hold the marker ha.
    2
  39083. Awesome video!
    2
  39084. I want to start with learning proof techniques, then Abstract Algebra, then Real Analysis, Complex Analysis, Topology and finally Differential geometry. I also want to have some understanding of Analytic number theory; in particular, the Langlands program. I'm also interested in Mathematical logic, type theories, automated proof assistants, information theory and computational complexity theory. I also want to know about Dynamical systems, Chaos and stochastic processes. I want to cover all this material over the next ten years.
    2
  39085. Do cast a spell, Sorcerer!
    2
  39086. Not always new is always better and not always old is better
    2
  39087. I thought there is a secret juice or something which makes me better at math ;(((
    2
  39088. I enjoy math as much as Bob enjoyed Fay's mashed potatoes ;)
    2
  39089. Trust me when i say this, special function is a nightmare.
    2
  39090. Wait, I'm distracted by your cute nails
    2
  39091. Now I know those 5 things :D Math is hard, and I think that math is hard! But really funny and awesome
    2
  39092. Thanks
    2
  39093. I wish you posted this before my summermester ended
    2
  39094. When I was a graduate teaching assistant many years ago I was amazed at how easy it was to tell if students collaborated or cheated on the homework that I graded. It was immediately obvious with almost no effort on my part to find it.
    2
  39095. I am 12 and I got stuck an integral with u sub and trig sub. I feel like I really failed in life.
    2
  39096. Thanks
    2
  39097. Are you currently doing any research?
    2
  39098. This is so true 😂😂😂😭
    2
  39099. Jaime Escalante was a real professor who teached Calculus not a fictional character.Don't know is Louis Leithold's persona had anything to do with the movie.https://en.wikipedia.org/wiki/Jaime_Escalante
    2
  39100. Mathematics is life
    2
  39101. 👍
    2
  39102. 🤍🤍
    2
  39103. In my opinion infinite series was difficult to understand because I was never really exposed to idea of if a summation would ever have a definite answer. A summation isn't hard to understand but being able to tell if it's converging or diverging with only the formula and no visual aid is very difficult. A lot of room to over think any unfamiliar summation that you've most likely seen before. What i mean by the previous sentence is that it's a bit different from your homework or class notes when you're taking the exam. I think it would've be an easier experience had we've been exposed to idea that functions in our algebra class can converge or diverge.
    2
  39104. Other pros: it has a proper Kindle edition! Although it is very expensive. 😢
    2
  39105. Thanks u so much
    2
  39106. I had to take "Health" to graduate from H.S. The content was very basic. Like brushing your teeth, showering and washing your hands. I felt that the class was a waste of time. I was failing due to NOT doing the homework. I arranged with the school counselor to get a "passing" grade by just taking the final exam. I got an easy 100% on the exam. I guess other students needed the content.
    2
  39107. Just passed my assignment thanks to this!! Much love..
    2
  39108. Big Fan..... Maths Undergradute from India..... Thinking if I can be Intern for your Youtube channel..... I will be happy to learn from u.......... Can Make India based videos
    2
  39109. Dummit & Foote, good stuff.
    2
  39110. U know what happens in India people just say to byheart formula n stuff which no way they teach in a better way teachers themselves barely know about the subject. They've been bonded up in a boundary of jee which sucks I love pure math n whenever I ask a question to my teacher he says that he wld say it later which he never did so far 🙄🙄🙄
    2
  39111. Complex Analysis, Applied Graph Theory, Introduction to Applied Mathematics, and Galois Theory.
    2
  39112. Big fan sir ❤ I am very weak at maths Can i become excellent or good at math if i focused on doing practice
    2
  39113. Library genesis is useful to download books
    2
  39114. @The Math Sorcerer, thank you for this video, very nice. Can you please estimate how many hours it will take to learn all of this? Thank you.
    2
  39115. I didn't even know there was such thing as "undergrad research"...
    2
  39116. heck yeah, I've got that book! I've got way too many programming books now, but that's one that I don't "need", but I keep for historical value.
    2
  39117. which college do you work. your students must be happy as you are good teacher
    2
  39118. Opinion on a good Calculus book to read up on and study prior to going into calculus 2?
    2
  39119. Thank you very much man. I needed this video as a type of motivation
    2
  39120. I really like your channel. I enjoy getting the advise and mountains of information from your Math Sorcerer channel.Thank you very much. I just now bought the spiral bound, publication year 2012, title book that is mentioned on this page. There doesn't seem to be to many spiral versions available. I thought I would get this while I had a chance. I'm going to use this when I get back in to math studies in my sixties (64 years old now). Thank you again.
    2
  39121. I think in new version, their hope is to sell the solutions separately
    2
  39122. Wait… books?? What are books??? 😆 Just kidding. I really wish kids would be taught again with actual books. But, I guess the NWO figures it’s easier to change history if it is all digitized.
    2
  39123. The first maths were used to erect temples to gods and the first mathematicians were seen as elevated above the normal social classes because their intelligence was without a doubt even to royalty invaluable. I have no doubt the elitism that was its root has remained through out the centuries. Is it bad? No. If there was only one man who could build the combustible engine and yet the demand for such an invention was obvious beyond measure... wouldn’t you regard him as almost equal to the king on merit alone? It’s not the same elitism as those who are born kings, or become rulers, mathematicians regardless of genius HAVE to work...math is the literal equivalent to manual labor. They are diametrically the same thing...pure work. Respect is always owed to men who work and that’s what makes them great. The truest enemy of the social hierarchy has always been the individual who with sheer will and determination makes himself great. Math is like a doorway, knowing more of it has never hindered anyone and has only prospered everyone. They’re elitists alright, they deserve it. It’s not elitism based on fallacy or fairytale but mastery of the natural world around them. It’s the elitism we use in terms of respect. A man is truly elite who can turn raw metal into an engine or calculate the projectors of an object before it even hits the ground traveling at unknown speed — and to figure all that out with what? Thinking, a pencil, and some paper...wow.
    2
  39124. For me, Staedtler mechanical engineering pencil 0.7mm HB hardness, eraser stick (basically a retractable white Staedtler eraser shaped like a marker). A pad of engineering 'greensheet', quiet, and finally good lighting. After that magic happens. I too believe in having multiple books on a subject, or today fabulously the web. EE here, oops did forget to say that earlier?! Also for whatever reason I still like chalkboard, start an idea - quickly revise, find errors, continue. Anyway I'm not quite a math guy just love the channel and the challenge that math continuously presents.
    2
  39125. You are totally that channel someone would want to subscribe to. Sharing your thoughts, tips and motivating us, not overwhelming. Maybe not the channel I go to for a particular problem, but still super helpful. Thanks!
    2
  39126. 2:25
    2
  39127. Bagaimana kalau soal Integral Tentu dengan batas atas phi/2 dan batas bawah 0, e^(cos(x))sin(x)
    2
  39128. A good 5 hours per day is enough even if you’re an outstanding math student!!! If you’re not really good stop wasting your time! Excess can lead to a permanent nervous breakdown as it did for the great mathematician of several centuries ago Joseph Louis Lagrange, who said the "mine is too deep".
    2
  39129. my role model are movie characters.
    2
  39130. For some they may be boring for others they're the most exciting subjects
    2
  39131. way ahead of you, i have 8 hours of focused study time 7 day a week, large doses of ritalin and coffee, headphones on to cancel outside noise, no music, no youtube, just latex, book, pen, note/scrap books to figure it out.
    2
  39132. Your class is amazing!! Congratulations Teacher xD
    2
  39133. Teach yourself to relax and treat yourself to stuff that entertains you I.e, reading manga/ American comic books or watching anime/shows that you like. Also playing video games etc. Take one class at a time in college/uni and compete with yourself. The key takeaway here is balance.
    2
  39134. I think you did a video on this book a long while ago. I think you said good things about it.
    2
  39135. I love all your videos.... Please Make a video on how to concentrate and still be passionate about studies when you're battling with depression.
    2
  39136. Hello math sorcerer!! Can you make a video on discussing thesis vs comprehensive exam for masters in math? I m having a hard time on choosing one
    2
  39137. I really appreciate the opportunity to learn new skills.❤❤
    2
  39138. Now this is what i was asking for
    2
  39139. I recently did a question like this and people are not waiting for this point being the point that the tangent lines cross, they actually confuses each other with the tangency
    2
  39140. Books do smell good. Probably passed down from our ancestors who thrived through learning 🎉
    2
  39141. Funny thing your “Math Professors be like” video popped up before my Partial Derivatives Quiz/Test and when you were talking about partials I was like I know how to do this!
    2
  39142. So... What about numerical methods? It should not be just a course, there should be a series of courses on numerics, much like there is calculus 3, calculus 4 etc :)
    2
  39143. I think you might get a kick out of Category Theory ✨
    2
  39144. Conceptual Mathematics: An Introduction to Categories
    2
  39145. thx
    2
  39146. This was a cool video
    2
  39147. that it? you don't use the rules of regular differentiation or that apply too? Btw thanks for the amazing video it saves me time.
    2
  39148. TLDR: abusive notation, tests make 100% of the grade
    2
  39149. I did this with a chaos theory book and I had no idea what was going on most of the time but now understand some ODE.
    2
  39150. S T U D Y I N G H A A A R D
    2
  39151. Wow! I started self studying probability calculus and was about to give up because i felt really stupid but your video gave me courage!
    2
  39152. too cool....math trickery....lol
    2
  39153. Very nice
    2
  39154. please think like brad Pitt 😅
    2
  39155. All that I know is that i know nothing. - Socrates
    2
  39156. The proof in function and mapping always sucks. Any help please.
    2
  39157. I Love Math
    2
  39158. Stewart side by side with Spivak. Nice Crossover.
    2
  39159. U look like newton 😂😂
    2
  39160. for what
    2
  39161. Thanks for the explanation tho. Really helps me in my assignment.
    2
  39162. I like most (probably), found you from needing help in math but dang your videos are on point.
    2
  39163. "Give up strategically" that's now rotex-tape-labeled to the top of my second screen. so good. thanks!
    2
  39164. I can relate to struggling with inequality proofs on a spiritual level
    2
  39165. I have the Ti-84 Plus CE. My first calculator was a Ti-57.
    2
  39166. Great… I learned differential equations for basic algebra and stats
    2
  39167. Another therapy session from the Math Sorcerer.
    2
  39168. Very interesting stuff
    2
  39169. this really helped me out
    2
  39170. Olha onde eu vim buscar ajuda hahaha
    2
  39171. Love your content man, and I gotta ask you, what inspires you to keep inspiring US?🤔
    2
  39172. to avoid ambiguity, my professor called area 2D volume
    2
  39173. 💜
    2
  39174. I'm your biggest fan!
    2
  39175. There's a book that probably you need to buy, "A Princeton companion to mathematics". I hope your personal review one day.
    2
  39176. Thanx so much. Very interesting and informative
    2
  39177. Best video to do this stuff done.
    2
  39178. own this book really good 👍
    2
  39179. This is awesome, thanks
    2
  39180. Parecen letras góticas gothic lettering
    2
  39181. Thanks it would be nice to chip away at this. See how far i could get. Is it about aptitude or endurance? I seem to have lots of time.
    2
  39182. Start a podcast already!!🥳
    2
  39183. Good advice. Also spend more time practicing and learning how to study math. And practice any kind of math, particularly math that you like and not necessarily only the math you are required to take as you are likely to overcome math fear when you have done well in any kind of math, even if it is only the math you enjoyed practicing as opposed to the math you are required to take and pass in school/college.
    2
  39184. ...What does it taste like?
    2
  39185. Great vid! What rank are you in league? I used to play dota.
    2
  39186. Thats actually helpful sir
    2
  39187. If you go to a college they have a syllabus. It will mention prerequisites. So there is a system and you develop step by step. If you self study without syllabus you buy some advanced book and you don't have prerequisites to understand it. You will feel stupid trying to read it. Also you will study only one topic like only algebra. The teacher already know the subject so there will be a pace. You move to new topics every day and you complete subject in a fixed time. The teacher will also able to do many problems also and you understand missing parts. You can also look back fill the gaps in understanding after understanding more aspects. Another problem with self study is it will take time to understand your style of studying. Like dis you like watching videos or do you like to solve problems or like to do proofread etc. another is it will take time to understand the style of the author. First you feel the style of the author is not right and slowly you will synch. If we overcome all that self study will be better
    2
  39188. I really can't wait to become a mathematician ngl. But still got long way to go.
    2
  39189. What book is the class using?
    2
  39190.  @TheMathSorcerer  Thanks! Just got the book, Im gonna follow along with your class.
    2
  39191. I became a wizard and slayed the dragon
    2
  39192.  @TheMathSorcerer  Sir what's your country?
    2
  39193. Sir I have done my graduation in mathematics and now wanna for some foreign country university for Master's degree? But I don't have enough money for that ?
    2
  39194. Bundle of thanks for your time You are good person
    2
  39195. "Won't be on the test."It might not be on the test but it will be on the final
    2
  39196. Is it just me or Math Sorcerer changed his accent?
    2
  39197. I needed this. Not for math, but for physics and orgo. I spent 3 days with no motivation to get out of bed because I legitimately hated myself after failing my first organic chemistry quiz. I watched this yesterday and found the motivation to spend the last 18 out of 24 hours doing every single problem in my textbook related to our next quiz.
    2
  39198. 3:58 it's an conceptual move not an algebraic one hahahahahahhahahaha
    2
  39199. ❤
    2
  39200. who r watching video during lock down put like
    2
  39201. For every reason not to study maths there is an opposite and equal reason to study math
    2
  39202.  @TheMathSorcerer  Can you post about your testing method when you decide on it? Would love to see/hear about it.
    2
  39203. I want to be master in both Physics and Maths .Is it possible or I'm dreaming?
    2
  39204. vegan Jeff Bezzos
    2
  39205. Ah yes, and when they skip like all of the algebra ending up in something that looks like a completely different equation altogether. Surely we can do that in our own time as well, but the final obvious step of simple subtraction or addition they must definitely include or we may get confused as to how he got the answer :') So we take the integral of (x-3)(x-4)dx from x = 0 to x = 5. That is of course, 14+1/6 - 0 = 14+1/6th.
    2
  39206. The first three years of university here in Italy basically cover all the content of that book :D
    2
  39207. You are good
    2
  39208. You ,Bucky Fuller Nickola Tesla
    2
  39209. Your videos seems to always come at the perfect moment. Thanks a lot for all the motivation!
    2
  39210. 12 theorms for life
    2
  39211. Funny! Jokes apart, could you please offer some tips on how to start learning discrete math?
    2
  39212. Thank you sir for motivating us
    2
  39213. Nice green screen. How did you get "Bigfoot R. Sasquatch" to move around the scene?
    2
  39214. 😁 so nice
    2
  39215. 1. take good notes okay, it is hard enough
    2
  39216. I needed to watch this Tuesday morning before my test 😭
    2
  39217. The joy of precision
    2
  39218. Watching this at 2x to feel the SPEED
    2
  39219. NEXT VIDEO ON DOING PHD IN MATHEMATICS
    2
  39220. Hey man, I started watching your videos even though I studied philosophy in college. It's giving me motivation to study math on my own right now, but I was wondering if you think there needs to be some background in math for discrete math? I took a calc class in college but nothing further. Thanks!
    2
  39221.  @TheMathSorcerer  Thanks man! you're awesome!
    2
  39222. Thank you for such a logical reasoning 👍👍
    2
  39223. The square root of 2 is now defined: 1 + 1 OOOOOOOOOOOOOOOVER 2 + 1 OOOOOOOOOOOOOOOVER 2 + 1 OOOOOOOOOOOOOOOVER 2 + 1 OOOOOOOOOOOOOOOVER ........
    2
  39224. Pls, i want you to be my mentor Sir
    2
  39225. Doing a little bit of trolling is a tactic I can get behind 😎
    2
  39226. Hey thanks for the videos! Also thanks for mentioning the udemy courses. I never read the descriptions. Thanks, I'm gonna check them out!
    2
  39227. yeah, how about this motivation ... wear a t-shirt?
    2
  39228. Math people are not elitist. They are simply people who comprehend math. If it were not for them a lot of fields in science and technology could not have advanced. I really like math but I am no mathematician. In fact I think something just as difficult as understanding math is really being able to teach math. I would love to read a math textbook for people like me who need to learn to apply and understand practical math without putting too much confounding theory in. Good math teachers are GOLD. Thanks for what you do!
    2
  39229. I think having answers is good because the real treasure is the journey
    2
  39230. Can you do one for Economics next?
    2
  39231. Buy crypto!
    2
  39232. It's NOT hard for me to agree with you in every way. I've been teaching for a very long time too. We are on the same wavelength.
    2
  39233. Abstract álgebra study with me videooo plissss !!!!
    2
  39234. I'm like +3 minutes in and the dude talks about how the book smells and how it closes because the pages are snappy and he holds a calculator as a weight (apparently because he can't bother with hands). With a title "strange math". Wtf is this content.
    2
  39235. Abbott's book was used in Poly Sci Research Methods at Harvard
    2
  39236. Chatgpt helps explain when the math book sucks
    2
  39237. Very true about talking to the teachers. With my first year proofs teacher I always answered all the questions and I went and chatted with him briefly after class discussing what we had learned and talking to him about cool ideas I had about the problems and he showed great interest and because of those interactions I figured out what I actually wanted to study and I became a much better student. To be fair I didn’t always sit at the back of the class because that was my favourite spot but we had small classes so it didn’t matter too much
    2
  39238. Thank you for this. Though I was expecting you to mention ENGINEERING MATHEMATICS BY KA STROUD
    2
  39239. Set aside crying time before the exam so you dont cry during the exam
    2
  39240. Have you taught these books to your students? If so, would it be possible to provide a syllabus or homework assignments pertaining to each book, or just any structure that you follow to teach these books? This list is great but still quite unconquerable for students who are self-studying :(
    2
  39241. YESSS logic gates industrial plc machine goes brrrrr thank you for this excellent video.
    2
  39242. The Math Sorcerer cheers thank you very much!
    2
  39243. Who else feels like math is a lot more fun and easier to learn by watching videos on yt?
    2
  39244. Imagining if my Teacher kept the same environment in his Class XD :)
    2
  39245. And what about category theory?
    2
  39246. HAHAHAHAHAHA
    2
  39247. This!
    2
  39248. Just the video I needed to see right now! Thank you so much for your work and your channel man! Also, ¿dónde aprendiste español? Jajajajaja.
    2
  39249.  @TheMathSorcerer  Wow! No me lo esperaba jajaja . Soy de México y estudio Matemáticas. Estaba teniendo problemas con mi tarea de Análisis, me sirvió mucho ver este video para no perder la motivación. Saludos!
    2
  39250.  @TheMathSorcerer  Tú de dónde eres? xD
    2
  39251. I understood nothing but "kimberly"
    2
  39252. I can not ignore the fact that you look like Jeff Bezos with hair 😆.
    2
  39253. This really helped me with my work!!!!!!!
    2
  39254. Until chapter 8 it looked pretty much as the syllabus of my Mathematical Physics course. We had also Fourier series and transforms together with functions of a complex variable. Good reference man!
    2
  39255. 🖤🖤🖤🖤
    2
  39256. 🙏🙏🙏
    2
  39257. Do you teach math at a college?
    2
  39258. It was very amazing...I always wondered what is the use of m and then m greater than 1/epsilon....now it's almost clear
    2
  39259. Wonderful
    2
  39260. Amazing lecture! :)
    2
  39261. There is no finish.
    2
  39262. Yeah really it's a great vedio thanks bro
    2
  39263. tysm!!!!!
    2
  39264. Nice work good introspection!
    2
  39265. https://www.amazon.com/Advanced-Engineering-Mathematics-Erwin-Kreyszig/dp/0470458364/ref=mp_s_a_1_4?dchild=1&keywords=advanced+engineering+math&qid=1586728529&sr=8-4 https://www.amazon.com/Mathematical-Methods-Physics-Engineering-Comprehensive/dp/0521679710/ref=mp_s_a_1_2?dchild=1&keywords=math+methods+for+physics+and+engineering&qid=1586728556&sprefix=math+methods&sr=8-2 Both of these are really good. The first one I used when I took a course in complex variables, and the second is more of reference book than anything but it’s literally the best math reference book out there.
    2
  39266. keep up the good work!
    2
  39267. great advice !!..
    2
  39268. Spot on!
    2
  39269. skibidiba bum dada
    2
  39270. I took your advice, went for a walk, measured the distance by the maps app, got lost in the park, looked up to the moon, found out which way was south, and maps told me how long it will take me to get back. I remembered that in order to make it back I have to "Imagine my Reality, Then Realize my Imagination". So a 30 minutes walk to run away from solving a problem took me 90 minutes. and the problem wasn't even Math. The problem isn't going to be solved unless there is going to be a recession. That way welders will be available again. Some of us are really praying for a recession.Patience!
    2
  39271. Hey Stewart is awesome! I really liked his calc book
    2
  39272. Thank You! So, what is the best start to make that transition : " Doing Research in Math "
    2
  39273. Great! Thank you!
    2
  39274. Tevin Heath haha could be...
    2
  39275. Learn some logic and set theory. Then you can figure out a lot of math.
    2
  39276. thank you very much.
    2
  39277. I love your content. I also love your sound quality. Primo. You are inspiring and sound great.
    2
  39278. GOAT
    2
  39279. Is he Presh Talwalker?
    2
  39280. Nice, please suggest a best book for calculus with full solutions
    2
  39281. This video is going to make me finish my course
    2
  39282. Solved it in the first try. <insert stonks meme>
    2
  39283. So helpful for Math enthusiasts !! I love math but am so inefficient and Poor in it.
    2
  39284. Hi I have question. In your undergrad if you do a double major in economics and mathematics and let's say you want to pursue further higher studies in mathematics then how is your application weighed in? What if you didn't do that well in your eco major but did very well in all your classes for math? How are you viewed while applying then?
    2
  39285. I am 40 years old so I try to start with maths by myself. Please wish me good luck 😃😃😃😃
    2
  39286. It's true for other domains too I would say. Good advice here, thanks
    2
  39287. Question. What do you think of this projessor nj wildberger, he rejects many core definitions and concepts of modern math: https://njwildberger.com/2016/01/22/space-filling-curves-do-not-exist/
    2
  39288. As I was scrolling by, I saw the thumbnail and thought I'd give this problem a shot. I got the same answer, but I factored out 1/cos(x) from the numerator and denominator. If you do that, then cos(x) in the numerator turns into cos^2(x). As a side note, this would be a fun integral to throw on a calc 2 exam.
    2
  39289. 1:09 that reading speed though
    2
  39290. Nice advice to hear Prof. I appreciate that. I believe "There is no late as long as we want to be better" Best wishes
    2
  39291. Bought this book after seeing this video.
    2
  39292. Without the pressure of seeing Differential Equations for the first time (1982) along with my Physics Courses, watching this it great fun!
    2
  39293. Problem tookup 50% if the screen, and squeezing the answers to the bottom corner🥲
    2
  39294. Thanks for the help.
    2
  39295. The Math Sorcerer I understand.
    2
  39296. Multiple cameras might work, but it would cost more money
    2
  39297. First
    2
  39298. I think working with ambient noise is, at least in part, a learned skill for which different individuals have different levels of talent and success. Math can be accomplished with many family members nearby -- Leonard Euler had six children who were present in his younger years. As Euler grew older, he lost his eyesight, but continued to work. Success over adversities can be achieved, at least by some people some of the time. Buena suerte.
    2
  39299. Thanks for this video. There are many good books on advanced calculus in russian too. May be it is strange thing, but learning advanced calculus in english, is easier for me than in russian)
    2
  39300. Wow! What a cool and up building message! Thanks!
    2
  39301. Thank you so much for the recommendation!!! What do you think of the sequence of books by Amann and Brookfield titled Analysis I, Analysis II, and Analysis III?
    2
  39302. APHEX TWINNN
    2
  39303. The student is me and the classroom is filled with 1.5M people appearing for JEE in India. Ill give it my best❤
    2
  39304. what a hero
    2
  39305. Awww cute birdy. Great video 👍
    2
  39306. thank you so much for this video
    2
  39307. Congras for 100k subscribers !!
    2
  39308. Thank You So Much! Well Explained ❤️
    2
  39309. ok prof. I see you looking like a snacc 😯
    2
  39310. Ti86x the issue with those calculators is how many buttons you have to press
    2
  39311. Just to clarify, the Naval Institute, which published the book in the video, is not part of the government. Even though its offices are on the grounds of the Naval Academy and it has very close ties to the navy, it is a private organization.
    2
  39312. Thank you teacher
    2
  39313. Ahhahhahaha 😂😂😂 beautiful video
    2
  39314. Hahahaha you love so much Math that is hard for you to get reasons not to study. 😃😁
    2
  39315. Very true
    2
  39316. Thanks man, your explanation helped me understand something I was confused about for quite sometime.
    2
  39317. I used this book for reference when I took Advanced Calculus. The class book was a very good and cheap Dover Book. Advanced Calculus by David Widder
    2
  39318. Such an unexpected reading list, thank you for the help!
    2
  39319. LoL
    2
  39320. So your theory is that some people learn quicker than others because they learn quicker than others - well that's clear but not very useful and didn't need 4 mins to say!
    2
  39321. Favorite Differential equation book: Gerald Teschl Ordinary Differential Equations Favorite PDE book: L. Evans Partial Differential Equations Am I too ordinary? Maybe. Btw, I loved your PDE book by Miller I believe. Great book! I never liked DePrima ODE book. Tooo computational and lacks theory
    2
  39322. Good advice sir. I think the problem surrounding college has to do with the fact that college is pushed so heavily in this country and people are judged harshly in this country if they do not go to college.
    2
  39323. 0:51 This needs to be a meme
    2
  39324. I didn't know Jeff Bezos once had hair.
    2
  39325. From start to finish? Never finish. From start to somewhere after start.
    2
  39326. oh god league of legends is installed
    2
  39327. I bought this last week, it is nice, but I feel like there could’ve been more problems
    2
  39328. You mean vertical line test?
    2
  39329. Thanks for the MIT Videos. I took a Lisp course when I got my BS in CS back in the early 1990s. I remember it was a fun language and had a lot of features that allowed you to work with written languages as well as some early AI concepts. Also Python is kind of a dialect of Lisp, and both are cool languages.
    2
  39330. Yes🦉
    2
  39331. I asked a question the past days, been waiting for your response 😢
    2
  39332. I love your motivational talks!
    2
  39333. You have a look in your 👁 I've seen before.
    2
  39334. Mans probably gonna burn out at one point. Take it easy bud.
    2
  39335. Complete cost?
    2
  39336. I can't thank you enough for this video dear, Sir. Thank You soo much!!
    2
  39337. If you have this video on in the background it sounds completely normal but once you start paying attention you know it's ridiculous
    2
  39338. I like this guy so much
    2
  39339. Looking good in that flannel!
    2
  39340. Luckily my homework, test, and textbook access were all bundled into one 200 dollar purchase
    2
  39341. two words yes
    2
  39342. I have three math classes it is hard
    2
  39343. A student who cheats is stealing. They take another person's knowledge and bring it to the testing environment in order to score well on a test. Even if this student was not caught, they have traded away a failure, not passing the test, in exchange for the regret of not being prepared for their subsequent coursework.
    2
  39344. Serge Lang Algebra or bust.
    2
  39345. I thought I wasn’t the only one who smells the pages of the text book 🤣 they smell so good 😮‍💨
    2
  39346. Shots Fired @ Engineers
    2
  39347. This is a great point. Before we even set goals, we need to understand what an attainable, ambitious goal even looks like with real life examples. Also, the internet is definitely an amazing thing. I've learned so much from the internet. I cannot imagine growing up in the 90's or prior to that when smartphones and computers weren't in the overwhelming majority of households.
    2
  39348. What advice would you give to your 21 years old self?
    2
  39349. really appreciate the advice/tips you provide aside from all the awesome book recommendations
    2
  39350. Me gustó mucho. Me gustaría que hicieras un preguntas y respuestas (QandA) sobre cómo es que aprendiste español. Me encantan tus videos. El mejor difundidor de Matemáticas en YouTube. Saludos.
    2
  39351. Hi The Math Sorcerer, Please could make a poll to find out how many followers of your channel do self-study math.
    2
  39352. I've been printing out The Book of Proof chapter by chapter as I work through it. It made such a huge difference!
    2
  39353. This is so great!!!
    2
  39354. Dave Murray, why did you let iron maiden ??
    2
  39355. “It’s a conceptual move, not an algebraic one”
    2
  39356. No number theory?
    2
  39357. Math Sorcerer, wanted to let you know your mic is cutting out on certain words.
    2
  39358. What an amazing video 👍
    2
  39359. You asked if anyone had seen a hardcover version of Serge Lang's "Basic Mathematics". Yes. Picked it up used many years ago and not even sure where. Title page has a name (initials MC, date: 2 Feb 1979, and "St.Johns" the place I imagine). From Addison-Wesley not Springer. Part of the "Addison Wesley series in introductory mathematics" 2nd printing, June 1972. Seems to be the same book. Has Library of Congress Catalog Card No. 75-132055 but no ISBN can see. Has number 4118 on the spine. And yeah has solutions for even exercises in the back. Cheers
    2
  39360. Sir, I have a very important question. How can I truly love and appreciate mathematics I can't figure out the problem, every time I do math I always feel like something is missing even tho majority of my time is budgeted to math. I feel like I'm not giving my 100% towards math and that is the problem because if I compare math to physics and chemistry I can stay longer and get hyped solving problem. I notice that math don't give me the same effect like chemistry and physics I think one of the reason why I get hyped towards physics and chemistry because majority of the topic are logical or I can imagine the topics while some of the topic in math is way to hard or almost impossible to imagine. I feel like I'm forcing myself to math. tho I understand math but, I'm afraid those knowledge that I have gathered will fade away.
    2
  39361. im at level 6 rn cuz im isacc the fooking newton
    2
  39362. Subhramanyam chandrashekhar india
    2
  39363. the timing is so good ngl, i was having so much trouble with math homework and this made me feel a bit better :]]
    2
  39364. I'm scared to ask... what is the rocket ship problem?
    2
  39365. Absolutely amazing, intuitive way to get the concepts, rather than just rote-learn. So good.
    2
  39366. idk about yall but the only reason i regret buying munkress instead of this topology book is because the font is the cmu serif latex font and my book is written in times new roman
    2
  39367. :)
    2
  39368. Rudy always got up👍📚❤️‍🔥
    2
  39369. the cover of that book really reminds me of the book we used in high school -- I don't remember for sure, but I wonder if its the same book
    2
  39370. I must say I would rather baulk at having to do 10 fairly complicated questions in only 2.5 Hours. I suspect these young Chaps (and they were all Male in those days!) were heavily schooled in passing this exam, employing paid "Crammers" to maximise their potential marks. I notice there are no marks given which again is very unhelpful, to modern eyes. It reminds me of the notorious Tripos Exams at Cambridge University which were exceedingly difficult and only the best of the crop became "Wranglers". In the past this included James Clerk Maxwell, Lord Kelvin, P.G.Tait and even G.H.Hardy, who all hated the arduous process.
    2
  39371. my goodness... I read the book so many times over and couldn't figure it out... this became clear in only 7 min
    2
  39372. I have a related question. Some graduate schools require an applicant to submit not only a personal statement, but also a statement of research interest and/or a research proposal. What could applicants write if they have absolutely no research experience?
    2
  39373. Reincarnation of Sir Isaac Newton 🙏
    2
  39374. Is that a promise or a THREAT?🤡
    2
  39375. The square-root of poloney. ~oteng
    2
  39376. |attitude|
    2
  39377. <Whisper> | Open attitudes can sometimes get us into trouble |
    2
  39378. From India! I'm enjoying your videos although I'm a little weak in English but still I'm able to understand You ❤️
    2
  39379. Nice frame rate 👍
    2
  39380. I wish every time he said "I'm being a bit abusive", he should've punched the whiteboard and/or equation
    2
  39381. I am having those severe thoughts about my mechanical degree program. 😅 I love the math and physics in the degree but the other engineering majors hate it. When it comes to design and group projects they love it but I hate it. I feel like I should go into physics instead but I keep being told that engineering is better. We will see how this goes because I am getting deep in the engineering program. Thank you for you advice!
    2
  39382. thanks so mutch
    2
  39383. 📐 Euler lite
    2
  39384. Thanks Bro good concepts
    2
  39385. Bruh
    2
  39386. Is that Professor Strang at MIT?
    2
  39387. third
    2
  39388. thanks. That I was looking for
    2
  39389. I’m pretty sure it was used to approximate circles and spheres before pi approximations and modern formulas for circles and spheres.
    2
  39390. Hey, ex-physicist here. This is still alive, there's a fun tutorial short tutorial in Cassidy and Fowles analytical mechanics.
    2
  39391. If I now had any money to afford all of these, that would be amazing 😁 But in all seriousness, thank you for the effort
    2
  39392. I love daddy Gilbert
    2
  39393. This is so interesting that I would come across this now. I currrently have a couple of Calc 2 students. I am going back to my old texts and just working problems ad infinitude on my own. I just ordered my original calc book version 4 of the seminal “Thomas” book.
    2
  39394. Hey Professor, how bad is an A- as a grad student?
    2
  39395. Funny, I have a test less than two weeks and I'm way behind and this video pops up XD
    2
  39396. Very practical advice here. And on that note... in reference to negativity, you "YOU" draw the line. When those words start taking effect on your mind & attitude that's where YOU must draw the line. You mention that math can be applied to everyday life... I say that having a "laser focus" view and "staying on track".
    2
  39397. Today You became one of my math role model.
    2
  39398. I still have my original copy … first edition 😊
    2
  39399. This assumes i even wanted to do math in the first place xD
    2
  39400. The TA that did my diffeq class was exactly like this. Hardest class I’ve ever taken.
    2
  39401. Ngga mudeng ngomong opo💪
    2
  39402. been studying all night for calc 7. lets go man
    2
  39403. I'm taking an introductory algebraic number theory class, representation theory, commutative algebra, and a course in homotopy theory. I'm also continuing work on a thesis in topological K theory. Oh and I've got a bunch of engineering nonsense to take care of, but that can be put off as much as humanly possible.
    2
  39404. 11:40 "You just have to..." Open MS-Excel, fill in the index column (2, 3, 4...), type in the formula, add another column for the result-so-far, then pull it down the screen (duplicating rows) until it converges, examine it and then state, "Looks like about one-half." Pull it down some more, "Yep, converging to 0.5." Very likely competitive in time to the analytical approach. 🙂
    2
  39405. can you do a bookshelf tour? ;)
    2
  39406. Ka-NOOTH
    2
  39407. This is some of the best advice I've ever got about math. Thank you so much
    2
  39408. I graduated from seminole state two years ago and am now about to graduate from ucf. You are by far the best professor i have ever had! Thank you so much for your positivity and humor! I’ll never forget how great of a guy and professor you were. Thanks again!
    2
  39409. Can you include an Amazon link for the books? Thanks.
    2
  39410. Great explanation! Thank you!
    2
  39411. Let me tell you ' I love Pizza too 😫
    2
  39412. may I ask why there's no lecture 4.2? it just skipped to 4.3
    2
  39413. A nice example of the invocation of the A.P. Helpful.
    2
  39414. ❤️❤️
    2
  39415. Alternate Title: What math teachers actually mean when they say things
    2
  39416. I dont know if it is a good idea to self study math when most definitely I wont ever pursue a career in it. I love math but im terrible in it. Im almost in the last year of highschool and ill have to choose a college soon (ill probably go to med school). I think it would take me years to get better in math to that level that i could be able to study it in an university and become a mathematician. I wish i could apply for the college but its just unrealistic. It seems a little demotivating because it wont lead me to any job or anything. But at the same time i find math so amazing and i want to learn more. 🤷‍♀️ Maybe i should keep it as a hobby and hope that one day Ill maybe be skilled enough.
    2
  39417. Guy looks like if Jeff Bezzos and professor Snapes had a kid.
    2
  39418. Thank you sir for information
    2
  39419. Good stuff!
    2
  39420. Great vid.
    2
  39421. tbh i didn't even know math had an end...
    2
  39422. Please make a number theory video playlist -- very very explained way like this!!!!!🔥🔥 Great video
    2
  39423. What a great roadmap! I want to emphasize how important is to start with Discrete Math. I had that course during my 4th semester in college and helped me understand so much of Calculus 1, 2 and 3 in retrospective. Loved the video!
    2
  39424. graphing proportion's relationships gives two frames to remember referenced duality beyond quantum flux static unknowing state
    2
  39425. Chubby fat book
    2
  39426. do you think you could review Real Analysis for Graduate Students by Bass? it's free online, and physical copies are available for pretty cheap. it covers measure theory and functional analysis i believe
    2
  39427. I wish I still had my copy !!!
    2
  39428. Asking "How many people do here calculus?" at Wall-Mart. Made my day.
    2
  39429. Taking a different approach when you aren’t getting the result you want is an intelligent move. Do it yourself or ask someone who already knows. Do you desire the challenge or the ability to utilize a new skill? A teacher might simply be faster.
    2
  39430. can you link the little rats in your shelves
    2
  39431. School teachers make uss hate math beceuse they only want to finish the class
    2
  39432. Great work
    2
  39433. These videos are good. Keep them coming :)
    2
  39434. I'm mainly interested in stats and probability. I'll start with the fundamentals first, and work myself up. Thank you very much for posting this video.
    2
  39435. ​ @TheMathSorcerer  btw what edition is the "A First Course in Probability" by Ross textbook? I'm buying the stats and probability text books now even though I won't completely understand them, but that's the goal that will keep me going.
    2
  39436.  @TheMathSorcerer  thank you very much!
    2
  39437. Do you have any tips for learning the subject?
    2
  39438. upload it in spanish please 🙏🏼📚
    2
  39439. this is high school math
    2
  39440. 👍If you find time, google and review Publications of the School of Mathematics TIFR Let me know if you want me to post a link to this free, rich, pdf downloadable collection of Math resources☺
    2
  39441. Thanks for your great effort... continue 😍🤗
    2
  39442. Thank you for these insightful videos
    2
  39443. That's some wonderful books you have. Send me some please.
    2
  39444. Agrre to do a fitness routine that we wiil stick to.
    2
  39445. These motivational clips are life savers, Math Sorcerer. I pray that God bestows a very long, healthy and successful life upon you so that you can keep inspiring people like me who want to become good at maths but often struggle and fall into despair. Thanks a bunch for these videos. God bless you.
    2
  39446. Some people are smarter than others man. It's not difficult
    2
  39447. I think students should be challenged to find certain limits (in examples involving physics or geometry, that is, situations where students can visualize or understand in an intuitive way). Of course, the teacher should guide them or help them so it doesn't feel imposible or too difficult. And then when they have done several examples and they found the tangent of the slope or the instant velocity of a particle... that's when they might be ready for the definition of a limit. Throwing the definition to the students before "experimenting" or "playing" is too much, and only the few bright students will "kind of" get it in class.
    2
  39448. Middle school calculus😂
    2
  39449. One day you will get fields medal
    2
  39450. Math is not elitest smells math book like elitest British snob
    2
  39451. You inspire me sir!
    2
  39452. I thoroughly believe most people are smarter than they think they are. I'm not a mathematician, but i did take college algebra and trig in high school. On the test before our final exam, i literally got 0%. My mind was so preoccupied with math that I started dreaming in math. The first question of the final was whatever that test I got nothing right on, and this thought popped into my head: "there's no way it's this easy". Lo and behold, it was, and a whole year of struggling clicked in place instantly. Sometimes its that cycle of putting all your attention on something that finally leads to a breakthrough. Something impossibly difficult was in reality very doable, it was just a state of mind.
    2
  39453. this is still my favourite calculus textbook
    2
  39454. Calc 2 was the hardest, but it was worth it because calc 3 was awesome.
    2
  39455. Thanks for the review
    2
  39456. I want that!
    2
  39457. What do you think about the book : "calculus by james stewart"?
    2
  39458. thank you i have 10k pages to refresh/ review and this as well
    2
  39459. I love country music and do like all these classes and wish to watch a lot from it and wish to watch more thank you.
    2
  39460. Sir ; thanks you so much I really sucked at math since childhood . I really want to learn math not for some exam but for myself and I was wondering how I'm gonna start . Surprisingly ; you make video about it . Really appreciate
    2
  39461. an unholy amalgamation of Higher Algebra of Barnard and Child, Determinants, Matrices and Algebraic Forms of W.L. Ferrar, and Ayres' Matrices. The reader is advised to refer to those, instead.
    2
  39462. Amazing
    2
  39463. i got the book in my native language (spanish), i used the book on my first year of engineer
    2
  39464. My students will love this! Tomorrow we’ll take our finals like DOGS 🐕!
    2
  39465. Thanks you!!!!! This was very helpful<3
    2
  39466. It's Besoz not Bisos not Bezels ....... Besoz 😂. Mr.Besoz please teach us more fun maths like this 😂
    2
  39467. what if instead of 5y it was 5y^2? do we just drop the problem because it dosent match up to the standard form and do something else?
    2
  39468. passionate for work never work a day in your life brings you joy to see it done right
    2
  39469.  @black_jack_meghav  i know. I wanted him to tell me if he thought it was difficult for a 16year old
    2
  39470. I love your videos
    2
  39471. I love you so much man!!!! this truly made me understand better
    2
  39472. Oliver Heaviside was was self taught. He was disliked by many mathematicians because he did not fit into the academic circles. He was an eccentric genius, ahead of his time.
    2
  39473. thx for the help
    2
  39474. Greetings Mr. Math Sorcerer, Ok.. Good.. Thanks for the Valuable Inputs in Present Period.. Take Care. With regards, RanjithJoseph (R.J)
    2
  39475. The other big problem is that you don't have a step-by-step road map. You don't know enough about the topic to decide on the right sub-topic to start with, and which sequence of subtopics to pursue, especially with the vast array of online resources available, in random order!
    2
  39476. Since speed is important i put this video in 2x speed! Thanks!
    2
  39477. 40 is young- go for it, i went even later to learn computer science and it was well worth it!- good luck- by the way- to catch up- there are multiple channels with solid professors that can keep you up to date with any set your needing help with.
    2
  39478. Ok gotta get back to studying lmao
    2
  39479. As I see, solutions are given to ALL problems. It seems that only books published in the US have solutions restricted to odd numbered problems.
    2
  39480. Yes Ishowspeed will make me good at math 💪
    2
  39481. Actually, I'm watching this video instead of studying Group Representation Theory. I'm here to relax, not to be yelling this way. So rude, man :( (never is enough!)
    2
  39482. Thanks very much for making my day happier! ❤
    2
  39483. seneca moment
    2
  39484. IQ distribution is a bell shaped curve. People like Ramanujan or Terrence Tao are probably in 4th standard deviation to the right. No amount of hard work can help you catch up with that. What hard work can do is move one from first to second or second to third. Freak math ability is also correlated with schizophrenia.
    2
  39485. I thought I was the only nut in the planet that appreciates smell, texture and colours in books. We are a dying breed, glad to know that I am not alone!!
    2
  39486. Math is everything
    2
  39487. I should add that in my case, first of all we had done about 2 months of formal limits work already, so once we introduced derivatives we started to fly by as we had so much ground work covered. Also i didn't take AP calculus, so the amount of stuff we actually covered in high school was apparently pretty limited.
    2
  39488. Awesome video!!!!!
    2
  39489. literally jeff bezos with hair
    2
  39490. Best
    2
  39491. Math people are driven by challenge. By definition, the Common is boring and well, common. By definition, Math people are elitist. Like mountain climbers.
    2
  39492. Way to go!
    2
  39493. I was a physics major and I don't recall ever having learned Laplace transforms in my Math Methods for the Physical Sciences I & II courses. We definitely "learned" Fourier transforms, though 🙃 Super intuitive, however! Thanks for the upload!
    2
  39494. i can relate to this
    2
  39495. bro same
    2
  39496. how long it take to finish this if I study 3h a day (smart/hard)?
    2
  39497. Amazing Video sir, Great work !!
    2
  39498. 6:08 LMFAO that facial expression
    2
  39499. Number by Tobias Dantzig is a great place to start
    2
  39500. Honestly that music is quit annoying. But this kind of video is reeeeeeally useful
    2
  39501. I am in high school I am from India can I study these.
    2
  39502. Besides everything that you said, engineering has too much credits, and when the course is not that hard, it has a lot of projects that just take a lot of time. I felt lost multiple times. But i dont think this is necessarily good. Doing less courses at the same time provides you peace and time to try to really understand what is going on, to discuss with your colleages and teachers with more detail everything.
    2
  39503. Definitions are first on the list to memorize.
    2
  39504. My head is spinning
    2
  39505. First
    2
  39506. Thank you bro... You can solve my problem...
    2
  39507. You're filling in the gaps of some of my less-than-helpful lectures. Most of my lecturers are really helpful during these unprecedented times and I have so much respect and gratitude towards them, but a small minority are refusing to adjust to current times which is just infuriating. I've sent them some of your advice videos to show them what a real teacher sounds like. So thank you, genuinely.
    2
  39508. Oh, group work in math. Hee hee hah he hho... Yeah online learning with group work is very fun. Specially when you are working with someone like the por fellah who has fallen asleep an is snoring on the microphone. Seriously though, I hate with a passion group work sessions online. It's somehow 3x worse than in person. You should do one where the student does a problem over and over to get 1pt credit for a homework problem, and this mistake he made was a very trivial one like, forgetting a negative sign or having a number out of place.
    2
  39509. I'm interested in a very quantitative and competitive field and returned to school for mathematics. I spent an embarrassing amount of time today looking at reddit posts on r/cognitivetesting and the like, articles from Nassim Taleb, Slate Star Codex, clips from Jordan Peterson, etc on IQ and potential success , and I think your video is what I needed. It's such a waste of time and quite sabotaging. Thank you for this.
    2
  39510. I think at most 2 ppl go to MIT each year for undergrad from India, so naturally they have to be strong at math.
    2
  39511.  @TheMathSorcerer  undergrad
    2
  39512. also many international students work hard for math olympiads, which helps them develop mathematical maturity at an early age (as in my case).
    2
  39513. Jajajajaja Este película es muy bonita!
    2
  39514. Great video! Peace out
    2
  39515. Thank you sir
    2
  39516. THANK. YOU
    2
  39517. Thanks you su much ❤❤❤❤❤❤❤❤❤❤
    2
  39518. Thanks bro 👌 u r explanation is good
    2
  39519.  @TheMathSorcerer bro can I know where r u frm
    2
  39520. 🖤
    2
  39521. I wouldn't say it makes one a better person. Better can be a morally vague term without any context. However, I do agree that it can better one's discipline.
    2
  39522. goddamn beautiful
    2
  39523. Gracias y un saludo desde México 😄
    2
  39524. That was almost spot on but I feel like what my math professors do is more of a parody of your video plus you can't decipher what the hell they are writing on the whiteboard. Your handwriting is much too clean.
    2
  39525. I already forgot some of what I learned this semester in precalculus. I’m going to spend this week doing practice problems to solidify the formulas and techniques in my memory
    2
  39526. This is gold
    2
  39527. Holy smokes! It's Jeff Bezos!
    2
  39528. Thank you for this. I have always wanted guidance on how to advance my mathematics and make sure I have all my bases covered. I didn't have a good school to guide me, so as an adult I am taking the plunge now!
    2
  39529. Great
    2
  39530. For calculus 'thomas calculus' is good book??
    2
  39531. Te amo wey me salvaste, heroe sin capa.
    2
  39532. Okay Sorcerer, I will try the first 5 books and let you know.
    2
  39533. I recall, Sir Isaac spent a decade learning the secret code of Solomon's temple, what might the world have been given, had he, instead, been an atheist
    2
  39534. You are a fax machine my man
    2
  39535. Great vid
    2
  39536. I got an electrodynamics and adv calc test this week. I was worried but now I’m just PUMPEDDD
    2
  39537. Wow thanks
    2
  39538. By you recommendation , I just ordered the book of Contemporary Algebra by Joseph Gallian...I never much worked on Abstract Algebra before ..will this be a good book to atleast start off or do I need additional books apart from this ..
    2
  39539. Nothing like that new book smell :)
    2
  39540. ❤❤❤
    2
  39541. Thank you so much for these videos, I just completed calc 3 as of yesterday and am moving on to linear alg and differential equations. There were so many times I wanted to give up but this exact mentality has kept me going. Never give up.
    2
  39542. Looking good mate, keep getting jacked.
    2
  39543. dude, that was great. thank you so much.
    2
  39544. hahahahaha the professor yelled just because engineers got better scores? hahahah
    2
  39545. I studied math for exam it took me 2 months to learn it but i had to practice to learn it I'm from India but I got got 60 percent I have got a lot to learn p.s there is always room for improvement
    2
  39546. What do you think of G.H.Hardy who was the mentor of Ramanujan. Hardy authored "A course of pure mathematics" (the 1st edtion1908, 2nd 1914, 3rd 1921), and I have a 3rd edition (WILDSIDE PRESS), but unfortunately missing pages 196 and 197. But luckily there is a free Gutenberg EBook of the book. Hardy invited Ramanujan to the Cambridge University at 1914. What a coincidence, the 2nd edition publishing year and the coming year of Ramanujan to Cambridge!
    2
  39547. That will be .. maths .. for those of us in the english speaking world
    2
  39548. You need this for math, part 987
    2
  39549. Amazing! Maybe add a line why K is finite?
    2
  39550. I’ve used to some extent the first three books. In my uni we’re very rigurous and value proofs.
    2
  39551. I think math students need to understand why proofs are so important. The first step to understanding the math is to believe it. And to believe it you have to be able to trace back all the steps to the most basic reasonings.
    2
  39552. Thank you
    2
  39553. thank you
    2
  39554. Awesome setup, love the candles man
    2
  39555. Order them by colour and size!
    2
  39556. ive seen u sniff the book in two videos now lol
    2
  39557. thanks bro
    2
  39558. It's easy for JEE aspirants
    2
  39559. WOW tysm! you have no idea
    2
  39560. See at 3.00..😂😂
    2
  39561. Thank you for your recommendation professor. One question, is it possible to start learning from discrete mathematics and abstract algebra? Is not it kind of tough?
    2
  39562. Good advice, but no one alive today has finished learning mathematics. Even mathematicians specialise in certain areas.
    2
  39563. Quality content
    2
  39564. we need a community I guess you should make a discord server where math people can have a good time together
    2
  39565. That's 500k that speak English. I suspect there are many many more! I suggest that the #1 thing self-study math peeps should do is to turn off social media. Delete the apps, delete your non-math short-cuts and bookmarks, sign out of entertainment streaming services and don't sign in. First, it's 99% useless propaganda, fake news, and nonsense. It's a terrible distraction that will addict you to its stress, release, stress cycle and makes it nearly impossible to think deeply. Cheers!
    2
  39566. What do you say to a 55 year old man who loves mathematics and is currently revisiting courses learned long ago to polish my math skills? I am almost at the end of precalculus in my self-study. I then will move on to calculus 1, 2, and 3. I am never going to teach math for a living and so going beyond calculus 3 really makes no sense. You say?
    2
  39567. Damn I been trying to find this for so long. Can’t believe it finally appeared in my recommended!!!
    2
  39568.  @TheMathSorcerer  you have no idea! It really really is.
    2
  39569. think u mean THICC
    2
  39570. Excellent advice. Discipline.
    2
  39571. this video feels safe. thank you.
    2
  39572. $500 on ebay! What modern book do you recommend for Calculus self study?
    2
  39573. This is easy problem.
    2
  39574. Willard , general topology is very good for analysts
    2
  39575. I'm excelling at every subject (including physics) but maths. I don't know why, but it has always been this way for me. even after studying for 2 month for my maths exam on my first term in 11th grade, I still didn't get it right because I just didn't like it and treated it like a burden. Now I'm willing to change and start looking into it deeper, not for the grades but for my own personal interests. If you have any advice about maths please drop it, it would be appreciated
    2
  39576. lol i've had a teacher like that before it's tough. in one occasion in middle school I had a teacher get mad at me for asking for help and they said I didnt understand because I wasn't paying attention and that wasn't the case.
    2
  39577. Thanks for recommending that proof book. I'm learning on my own. Calculus was fun. Linear algebra is dry.
    2
  39578. It was my first programming language
    2
  39579. I CANNOT study ANYTHING without some form of noise. Yeah, people are different😁😁
    2
  39580. Math Sorceror, what did you do in your previous professional life? Were a programmer? just curious
    2
  39581. Hey man I want to tell you that these videos have been a game changer for me man. Your input really helped me with my emotional struggles as an aspiring to be mathematician. I wanna be a teacher and I get a lot of self demeaning thoughts and you really help me put them in place.
    2
  39582. Lol, calc 2 was so easy and calc 3 was a piece of cake
    2
  39583. Nice book.Tell me the availability of this book in India.
    2
  39584. summer prep for DE with the math sorc, huzzah!
    2
  39585. What's your fav socerer?
    2
  39586.  @TheMathSorcerer  sorcerer
    2
  39587.  @TheMathSorcerer  yeah!,mine is Isaac Newton,he did alchemy,did you know?
    2
  39588. Why maths is so hard?
    2
  39589. Hola Math Sorcerer! Vi por ahí que sos nativo de Cuba, entonces me tomo el atrevimiento de escribirte en nuestro idioma. Podrías hacer, por favor, un video recomendando libros para empezar en las olimpiadas de matemáticas. Gracias, abrazo grande
    2
  39590. 1:07 Starting point
    2
  39591. a) please go on and show your other Math books! b) please comment on "Baby Rudin" ! I find it difficult but rewarding. c) Thank you very much!
    2
  39592. John Bogle. Good guy.
    2
  39593. Thank you!
    2
  39594. The handwriting reminds of Joe Roberts' Elementary Number Theory - it's a typical introductory textbook on number theory, except it's done entirely in calligraphy.
    2
  39595. Shouldn’t it be E! for that x€X at the recall? Like there’s just one element x from X that goes to an specific y, right?
    2
  39596.  @TheMathSorcerer  okay i see, thanks, you’re awesome man! Your videos are so helpful!
    2
  39597. my first book about programming in the late '90s. i still have it. Still remember Lisp language, lists, cons, car , implementing interpreter for c++ in lisp etc. The editor was terrible - plain DOS. no mouse, everything with short-keys - pretty much like 'vi' editor.
    2
  39598. Got it! 😎
    2
  39599.  @TheMathSorcerer  hahaha yeah learned the math 1st concept 2nd, math was easy concept wise had no idea what was going on, trying to fix that :D
    2
  39600.  @TheMathSorcerer  Right : When you understand a concept, it's easier to remember the method(s) and you can apply them better, more flexibly, to a wider range of problems (though sometimes, if you're very exhilarated by understanding a new concept, you start to apply it everywhere, even when it's unnecessary or cumbersome... I guess that's part of the process of really grasping a notion :) But one totally can apply methods mechanically, I definitely did that when solving equations in middle-school and in the beginning of high-school.
    2
  39601. Hey it's the time-timer, I have one of those! Very helpful to have visual cues as such. It's somewhat encouraging seeing someone even at your level still finding use in such
    2
  39602. Also ditto on the "using paper with no lines" part, funny how a consensus on little things like this seems to emerge
    2
  39603. right now I'm reading the humongous book of calculus problems and calculus by Larson. And I'm not sure if after reading spivak or a book from the publisher mir.
    2
  39604. I don't have the best English in the world. But I understand your videos perfectly. And all your recommendations. your channel helps me a lot on my mathematical path. Thank you.
    2
  39605. but i actually like optimisation word problems and theory instead of examples.......
    2
  39606. I love your library and your channel
    2
  39607. Normally i wont take his speech seriously but damn i just failed my math test yesterday and im too scared to even revise my own paper looking back at my stupid answers. You really help me to gain courage bro and keeping me motivated
    2
  39608. but if i follow this how may years it will take to master calculus at 1 hour a day
    2
  39609. Hi Professor, have a happy 2022!
    2
  39610. Thank you so much sir.. This was really helpful ❤
    2
  39611. Saw the guy I’m the thinbnai and immediately knew it was legit
    2
  39612. Back in the old days a couple of my professors referred to it as "The Calculus"
    2
  39613. This is so true I really didn't understand a lot from it I am really trying to have the books that is all I want for Christmas. 😁
    2
  39614. Thank You sir. Your videos is very helpful💓
    2
  39615. In Morocco, we learn calculus and limits and sums and complex numbers and probability etc.. just in high school.
    2
  39616. I'm sold just based on this guy's look, channel name, and a few video titles. Subbed.
    2
  39617. Thank you❤🙏
    2
  39618. The fact that GPT4 is not being discussed shows how backwards and sick a lot of mathematicians are, it is more about punishing others than learning and improving the world, it's just mental slavery at this point, just use GPT4 to ask quesitons, the answer will be valid 100% of the time when it comes to black and white math so if there is one area where there is no need for manual calculations anymore it's math!
    2
  39619. Thank you very much sorcerer! It really motivate me to not giving up :D
    2
  39620. Why did we have a 9/9 on the left side making it 25/9 +9/9 = 34/9. What is the principle behind it?
    2
  39621.  @TheMathSorcerer  Ohhhhh ! Doing some practice in Integration since the quarantine is boring me to death
    2
  39622. My mom used to tell me the same
    2
  39623. I agree with your advice. Although I can't relate in terms of math as I was quite weak in it back then but in 11th standard I was quite curious about semi-conductors and wanted to understand how they really worked in terms of electron and electron-hole movements. The school textbooks did not have that thorough information and I was not capable enough to read and understand university textbooks, we also did not have access to the internet so buying books and visits to library were the only way. Later during my engineering undergrad, I studied some semiconductor physics and realized that even if I wished I could not have understood the ideas (or maybe it was just me being dumb), the fundamentals and knowledge maturity that I gained in my bachelors helped me to finally have some clear idea.
    2
  39624. Thank you for this video
    2
  39625. 1.logical books 2.pre algebra 3.algebra 4.trigonometria 5. pre calculo 6.calculo 7.ecuaciones diferenciales 8.algebra lineal 9.estadistica 10.analisis 11.algebra abstracta 12.topologia
    2
  39626.  @TheMathSorcerer  aah
    2
  39627. sensational
    2
  39628. Thank you!
    2
  39629. Thanks.
    2
  39630. Hello.Nice video
    2
  39631. u a really good man
    2
  39632. I think of all the people in history who made huge contributions to mathematics and physics. There were so many of them. Chebyshev, Maxwell, Einstein, Ramanujan, Legendre, Riemann, Galois, Riemann, Cauchy, Hilbert, Helmholtz, Gibbs, Clausius. So many people who did great things and laid the groundwork for us NOW.
    2
  39633. Thanks very much. This video has helped me . Keep it up!!! excellent mr math sorcerer
    2
  39634. What's the function of the retest curve? I need to div right into studying. If I don't get a good grad, I'll curl into a ball. I'm just Green with envy at those who just get it, because all of this tests my limits.
    2
  39635. Would you recommend this book as a good summer read for someone who will be studying maths as an undergraduate? Thanks.
    2
  39636. I have had problems with Professors who deliberately made a course hard to thin out the students, That quenches passion real quick.
    2
  39637. Math + Workout = Based
    2
  39638. I learned basic partial differentiation on YT the night before my exam. I didnt know it wasn't part of our syllabus, and that it would come on the next course. Well, it saved me from failing the class
    2
  39639. I am currently starting Y12 in Victoria, Australia, in order to study math at University it is required that students study maths methods (which includes calculus) to study maths at university, I also am studying specialist maths which can be used to gain credit for semester 1 calculus at some universities. There is also a non calculus maths subject called further maths which is more about applications of math (data analysis, investments and loans, profit maxization, feasible regions, etc,)
    2
  39640. Have you seen this book? If so, what are your thoughts? https://www.amazon.com/Calculus-Lifesaver-Tools-Princeton-Guides/dp/0691130884
    2
  39641. Learn the Unit Circle, and you're more than halfway to having fun with Trig. ❤
    2
  39642. this video is exactly why I need to go to school. Also it's very funny
    2
  39643. Nice handwriting
    2
  39644. Lang is a good writer but it's too tough sometimes. He skip details. Are these book great? Yes they are but for EXPERTS who has been practicing these disciplines. His books are for masters or experienced mathematicians reviewing these subjects. I have them but when I read Lang I always bring pencil and paper filling in the details. This AUTHOR IS NOT GENEROUS. He makes you suffer through gaps. A good student can see through though but requires hours READING and reconstructing the theory to understand Lang's mind. Of course these books are "cult classics" that deserves some space in a mathematician library.
    2
  39645. "Choosing different directions" .... Such wise words. I would have loved to hear this a couple of months ago, literally. I'm almost done with my masters and I've decided no more academia for now. I love mathematics but I think a need a break from academia. I'll come back (for a PhD!), that's for sure, but I just need a little break!
    2
  39646. Cambridge University Press is close to printing a new updated edition of this textbook.
    2
  39647. Hello hope everything is well my friend
    2
  39648. MAN YOU ARE LEGEND 🔥👏
    2
  39649. Imagine again that you were in that class with the Indian guy sitting next to you, same age, same class, How did one person at such a young age know more than anybody that are also young and maybe even younger. How are those people better in math then? I think it doesn’t depend on time why? Because you have to accept the truth that some are created smart. Also, why those people never really forget any math materials as they grow and normally, some people learn something better and then they forget everything by the time exam comes, whyyy? I must say we are shortbrained and not born smart.
    2
  39650. When you started talking about international students, and me about to go from an alright UK uni to a top grad school in Japan with classes IN Japanese, ha.
    2
  39651.  @TheMathSorcerer  Thanks! The academic year starts in April there, so I've been self-studying to prepare and found your videos while looking up certain things. It's great to see that previous generations have already taken on to social platforms and shared their perspectives. It's helpful for many students like me to prepare for the transition to grad school. Also, you seem like a cool person!
    2
  39652. Jeff Bezos Brother with Hairs😂😂
    2
  39653. In other words act like Sheldon from Big Bang theory
    2
  39654.  @TheMathSorcerer  I'll have to look into getting it, Following along with the problems with you makes sense because of how you explain it , I feel like it's not explained in depth in the stewart book
    2
  39655.  @TheMathSorcerer  I tried looking into the older Larson books but i wasn't sure which one to get and I kept seeing Stewart recommended
    2
  39656. This is awesome. I’m a math minor currently taking Calculus II. It seems it will be great to look at all these books start to finish. It seems the book would be able to help students prepare for undergraduate math competitions too. I’m interested in applied math and computational medicine. I’m definitely sharing this video.
    2
  39657. obsessed with maths *books* to be further specific
    2
  39658. Really depends on the teacher? What teacher? Taking it online during the pandemic, there is no teaching. Just you alone in a metaphorical black box teaching yourself. The teacher isn't a teacher anymore. He's just a punitive grading machine you don't interact with. haha
    2
  39659. From the thumbnail I really did not expect him to be American
    2
  39660. What a great opportunity it is to do a lot of math and meditation!
    2
  39661. THANK YOU
    2
  39662. Okay!
    2
  39663. You motivate me to study! Thanks so much!
    2
  39664. Can you make a linear algebra course? That's the one glaring area I see you are not covering in your course collection
    2
  39665. Wow--interesting video on students cheating. Unproctored online courses increases the likelihood of cheating. Some students will take exams at home in groups so they all are trying to find the answer. Some do not even write papers but hire other people to do it for them. Cheating will hurt the person because when they go out in the real world, cheating is no longer an option and being incompetent can lead to errors that can cause lawsuits, especially in healthcare. In other jobs such as technology, not being able to produce well leads to termination. School is training. My university has online options but the scientific calculator is given to the student and so is the scratch paper, and you are watched like a hawk.
    2
  39666. Simple and precise, helped in solving my homework. Thank you man
    2
  39667. Absolutely! This is exactly what I do. Setting goals for myself, managing my time, keeping a cool head, remembering that math is supposed to be hard (otherwise everyone would like doing it), staying motivated and just remembering that you have improved. Also approaching a problem with a beginners mindset seeing it as a opportunity to learn something new. This is how I became better at math!
    2
  39668. It's really nice when you reply to my comments, thank you!!! Keep on being The Math Sorcerer❗
    2
  39669. I'm a first year student math and in less than 1.5 month I became such a nerd that I'd prefer watching this kind of stuff over hanging out with friends. Thanks for all your amazing explanation and random videos!
    2
  39670. My degree has me taking calculus 2 next semester. I'm scared and sad.
    2
  39671. I don't have/use statcrunch, but want to learn stats for AI methods, is your Udemy statcrunch course still for me? If not will you be making a stat course without statcrunch? Maybe using something like Python? Your passion for maths is inspiring!
    2
  39672. Could you do a video that outlines the 6 different areas of mathematics like Real Analysis, Complex Analysis, Differential Geometry, Algebraic Geometry, Algebraic Geometry, and Abstract Algebra? With outstanding problems in each?
    2
  39673. We appreciate videos like this. We will support you no matter what.
    2
  39674. This content producer is over thinking it. Zero does exist, it represent the idea of NOTHING! Which is a simple concept that a toddler can grasp.
    2
  39675. Greetings Mr.Professor, Thoughts : - Good Topology Textbook and also a rare amazing Classic copy.. Response : ' Learning is a Progressive Process accompanied by Success and Failure in all aspects ' Thanks... Take Care, Professor. With regards, RanjithJoseph (R.J)
    2
  39676. I just found your channel. Amazing content and an amazing person, thank you.
    2
  39677. ‘81, Great set lists at Dobbs on South street 🏄‍♀️
    2
  39678. I need this content keep it up king
    2
  39679. very good video!
    2
  39680. Math is for nerds Reading books is for nerds
    2
  39681. Lol I teach from that exact same software for my prob & stats course (even have this as one of my assigned HW questions). Just thought that was funny. Keep up the good work man!
    2
  39682. What about this? Calculus Early Transcendental Function 4th edition by Smith & Minton
    2
  39683. Wow that easy tq sir🙂
    2
  39684. Knuth et al.'s CONCRETE MATHEMATICS is the ULTIMATE BOOK in this field. And It is not for the faint of heart.
    2
  39685. Concrete Mathematics is a good follow-on to the book mentioned in the video. It is much more advanced.
    2
  39686. I just took Real Analysis but I didn't find it to be nearly as hard as everyone at my uni made it out to be. It must be different for everyone I suppose.
    2
  39687. Thank god, its very clear
    2
  39688. Great work.
    2
  39689. Math is hard 👍
    2
  39690. Thank u so much for ur wise advice!😌🙂
    2
  39691. Thanks sir ji
    2
  39692. Thanks! You are so kind to do these videos.
    2
  39693. you just saved my life
    2
  39694. I have an Adv. Calc. book by Ivan S. Sokolnikoff, copyright1939. How do I determine if it is a good source for independent study? It seems pretty small and short (440 pages minus the index).
    2
  39695. Couldn't you just subtract/add 0.05 for decimals?
    2
  39696. so THIS is how Elon chose his son's name
    2
  39697. Dude I'm waiting on the results from an exam then I'll know if I need to drop a class. I feel you bro.
    2
  39698. Thanks for that! I really appreciate it! But there's like another step, it is practice. I feel like I learn best by doing than reading alone, although those books have exercises I think I need workbooks, a 300-400 page workbook so I can't forget anything.
    2
  39699. Began looking at fractions, roots, indices & logs, basic word problems etc. Led me to a physics degree. Went working for 3 years. Now I'm back in college studying for a math degree (all self funded) just because I love the subject. One of my classes now is Euclidian Geometry. I love the simplicity of it as well as how difficult it actually gets. In a way I feel even though I've seen & worked with advanced PDE's etc. before, that I'm now starting all over again. Learning induction at the moment too. It's a right nuisance but a wonderfully useful technique. It's also frighteningly true. There is no uncertainty, unlike I used to encounter with physics - what a treat! Thanks for the video 👍
    2
  39700. I have a copy of this book myself, its the original C book
    2
  39701. Thanks for saving my mathematical life
    2
  39702. who writes like this
    2
  39703. What will be i^i
    2
  39704. A life less ordinary 😌
    2
  39705. The stamp on Volume 2 indicates that the book belongs to a Chinese university.
    2
  39706. I'm taking calc 1 later this year and this has me genuinely crying
    2
  39707. This is awesome! Thank you for videos like this! Your channel is one of the most exciting, because you help me with math and in another video you make me laugh.
    2
  39708. This hits home
    2
  39709. I love The Simpsons. It's very nostalgic as I grew up watching it all the time with my brothers. A couple years ago, while I was browsing the Boston Public Library, I noticed a book in the math section with the distinctive yellow color. It was all about hidden math "secrets" scattered throughout the series. Apparently, several of the writers for the earlier seasons held degrees in math, engineering, and computer science. The book itself was an okay read, but I loved knowing that the writers of my favorite show were also grade A nerds. It was very inspiring to me!
    2
  39710. SAFE DONNY JZK
    2
  39711. thanks man :D
    2
  39712.  @TheMathSorcerer  btw what are your thoughts on people who did math competitions like Math counts or AMC 12 in middle school or high school? Do you think it translates to doing well in math in college because they had to learn proofs?
    2
  39713. My biggest problem ...: procastination
    2
  39714. We appreciate the amount of information we receive just by watching your videos. God bless you.
    2
  39715. You get extra credit if you sniff the markers.
    2
  39716. Fun fact Budak was 🇺🇦 ukrainien. MIR (Мир in rus) has two meanings: "peace" and "the world"
    2
  39717. Fr, math is just beautiful
    2
  39718. Do you suggest listening lyrical music while solving math problems?
    2
  39719. please don't say practice, please DON'T
    2
  39720. Ah yes, I have that pen too in rose gold, love it!
    2
  39721. Thank you so much!! :)
    2
  39722. Thank you
    2
  39723. hey i just saw your intelligent investor book on the rightt
    2
  39724. Reason #1 - you can just use a calculator
    2
  39725. This was the boost I needed this morning!
    2
  39726. What's the name of this type of math? I have never seen this type of thing before. What can I look up on YouTube to learn this from the beginning
    2
  39727. It's logic, the fundamentals of arguing in maths
    2
  39728. some of this hit too close to home as a graduate physics student
    2
  39729. Could you review Hugh Neil’s Calculus book? It’s part of the Teach Yourself series.
    2
  39730. I usually transcribe and reread it several times. if a genius like Newton tried hard. a mortal like me has to go out of his way. I study very hard. But I'm just a poor fool in love with math
    2
  39731. 👏👏👏👏👏
    2
  39732. Such a wholesome and wise man
    2
  39733. How long did the Bachelor take you?
    2
  39734. 0:38
    2
  39735. I'm probably biased as a Lisper but. I'd argue it's the most important language you'll ever learn, and you don't need any other language to write whatever you want. Lisp is basically pure AST, and that's perfect for learning to program imo because programming languages are not math, they're proofs. Even compared to scripting, I feel Lisp is more elegant for sending that message as you can clearly see how any instruction leads into the one above it. Not only that, but Lisp is great! The many dialects of Lisp can help teach different padagrims and when to use them, you can even dive into the JVM with Clojure. Modern lisp is so efficient to write in that it's often faster to write a library yourself in lisp, than to learn one. (Although that's in a way to the language's detriment)
    2
  39736. thank you!
    2
  39737. I like the vid couse i coul solve it😎😎😎
    2
  39738. 😂😂❤
    2
  39739. Yes sir
    2
  39740. Is there a link for the lecture
    2
  39741. I just got some school supplies for a young teenage woman who is very bright a curious to learn mathematics and use abstract thinking. I gave her a Halloween card with support for her!
    2
  39742. Do you have videos about real analysis?
    2
  39743.  @TheMathSorcerer  OK, Thank's!!!
    2
  39744. Does not worrying about the confusing details in a book take as much time and practice as understanding them?
    2
  39745. Also, what is the song name, please? Like that tune a lot
    2
  39746. I am getting to love math by watching your motivation in your video😊 😊 Never stop rocket man🚀
    2
  39747. Even suggesting that one can finish learning mathematics is doing a huge disservice to the field.
    2
  39748. Well said :)
    2
  39749. Say Yeet right now
    2
  39750. This rocks!
    2
  39751. Love your content bro I just worked on calculating some limits and gonna work on derivatives soon.
    2
  39752. Hey thnx for helping I was not getting that how to solve this problem but now because of u I got to know love frm #INDIA🇮🇳🇮🇳
    2
  39753. Everyone I'm in 10 grade now and I'm learning this 😭😭 Any motivation here
    2
  39754. Just two days back i was taught triple integral 😭
    2
  39755. thanks man it helped me with my physics hw
    2
  39756. Please start streaming on twitch
    2
  39757. I have that mind numbing thing when I was taking a test and I promised myself to good score... I used all my brainpower to solve the questions😅
    2
  39758. You said in one of your shorts to not spend to long on A problem grigori Perelman did the opposite and got success he spent seven years on a problem Also Please give some advice on Olympiad maths
    2
  39759. to me the difficulty is ranked like this ( easier comes first ) 1. Calculus 3 2. Calculus 1 3. Calculus 2
    2
  39760. THANK YOU BASED GOD
    2
  39761. White noise generator instead of music may help. Youtube has rainstorm videos that last for 8 or 10 hours that can run in the background.
    2
  39762. these are not dark truths they are simple realities to me lol
    2
  39763. Please do a video on problems that you beleive may exist with the way math is taught in public schools in the uniteted states because I have read about countries with less financail resources to put into education often do a better job at teaching mathematics than what is done in public schools in the uniteted states of America.
    2
  39764. Underrated channel with outsanding and simple explanations !
    2
  39765. but how can i do that with y=x^2+x
    2
  39766.  @TheMathSorcerer  It's a lot of fun though. I get to interact with a lot of people interested in a lot of different things, model medical devices, participate in research in chemistry and biology, and learn a lot of cool math. It's only my second year as well, so I'm sure my higher level classes will lead to even cooler opportunities and people.
    2
  39767. Fun fact that class 10 th rd sharma maths book is thicker than this
    2
  39768. I purchased this one years ago. I think it's in storage now. 12/26/22
    2
  39769. Great video - Merry Christmas btw!
    2
  39770. I want to said that too, big thanks for him
    2
  39771. Maybe the people who learn math fast are reaping the benefits of having previously learned math slow. I think it was Paul Halmos in his ""Automathography" who wrote that the purpose of a proof in math is not to convince you THAT the result is true; it is to show you HOW it's true. If I could follow the steps in a proof, I would let it go at that, and I think that was a mistake. I should have gone back through the proof and tried to see why it works, and how the author came up with those steps. Folowing the steps of a proof is like admiring a cathedral after it has been built. What I need to see are the scaffolds and cranes, levers and pulleys used to erect it.
    2
  39772. He looks like a cool guy to get beer with😂
    2
  39773. lol the cap
    2
  39774. Yeah, true. Amazing advice 🙏🏻🙏🏻🙏🏻
    2
  39775. Amazon math
    2
  39776. Cool beautiful stuff;)
    2
  39777. The math Swollcerer
    2
  39778. 📝✨
    2
  39779. Well done, the musics'' a good fit lol.
    2
  39780. Great review..thanks
    2
  39781. It’s the same with everything else to me. Be motivated in what you do and if it wanes just remember you need discipline to carry you the rest of the way
    2
  39782. There is a difference between trade school for commercial painting and art school for artistic painting. The former is interested in maximizing the number of square yards of building walls covered with white paint. The latter is interested in the quality of the portrait or landscape or other scene created within a frame. Quantity versus quality. Arithmetical and mathematical education appears to be a lot like commercial painting, asking for ever more problems to be solved within an ever-shrinking time allowance. Do more problems, get more solutions, tenaciously tackle tyrannosaurus topics, and emerge from math bot battles unscathed in time to march in a graduation ceremony. For which academic army are these students being herded through boot camp? Which higher organization power are they being asked, or forced, to serve? Is there a war underway? For what is the fight engaged? Is the conflict a moral one, or is it merely to enrich the few at the expense of the many, with newly trained mathematicians at the battles' front lines? What ever became of the idea of starting a curriculum at the level of the students entering it, and progressing at the rate the students are able to maintain successfully, rather than suffering the slings and arrows of the outrageous fortunes hurled by sadistic sociopaths with chalk and erasers at a black board, or marking pens and dry rags at a white board? The student skill of being able to transcribe notes from a lecture board to a notebook without a thought crossing their mind seems rather less desirable than creating and enhancing mathematical understanding at an interactive tutorial or in a small seminar. Nevertheless, transcript extending activities predominate understanding enhancements as the content fire hoses continue to spray across successive generations of classroom attendees and Zoom screen viewers. Has our collective culture and settled society for ever lost the vision of happy holiness of the philosophical Aristotelian academic aerie? Or are we manufacturing more matrix batteries inside a continuously programmed artificial reality we can neither understand nor escape? Would you like the blue pill or the red pill?
    2
  39783. You are a lifesaver!
    2
  39784. this is really advanced
    2
  39785. Idk why this video is recommended to me, I stopped attending school for 10 plus years. Great advice though!
    2
  39786. Hi, great video, can you make one video about your worst math books colection?
    2
  39787.  @TheMathSorcerer  thanks. I love your videos
    2
  39788. my head was exploding before this vid thank u so muchh
    2
  39789. M.D raisinghania differential equations book is also a great book
    2
  39790. I don’t know why I’m here. I have dyscalculia + slight brain damage so I’m over here like 👁👄👁
    2
  39791.  @TheMathSorcerer  i have my English exam tomorrow but I'm learning some calculus right now
    2
  39792. Same😅
    2
  39793. T R U E
    2
  39794. BASED 😂
    2
  39795. thank you
    2
  39796. Huh. It's actually really inspiring that you took college algebra. I mean you're way smarter at me and yet I started off college with real analysis and abstract algebra. So to me that implies that with hard work I should be able to reach your level one day. I mean since I started off with more "advanced" building blocks. Also my measure theory class only felt hard, not veeeeeery hard, so that's motivating too :P.
    2
  39797. It feels good to see a mathematician who has a sense of humour!
    2
  39798. I need a maths book to improve my self in physics i am in 12th grade
    2
  39799. Sir plz provide pdf of this book
    2
  39800. Thanks, helped me a lott
    2
  39801. the funny thing is math profs are like this all over the world not just America
    2
  39802. Double major in aerospace electrical engineering and math minor ...but dead inside
    2
  39803. I've been using a book like this to learn basic math for a big test. I do the problems and insert them, along with some definitions, on Ankidroid (flashcards app) so I review them and add some more every day. It's really improving my skills. I'm trying to use my language learning experience with flashcards on math learning, and it's pretty similar in some ways.. how you have to work on memorization and such... So, well, I'm really loving studying math right now.. something that a few months ago I thought would never happen. Thank you for all your great tips!
    2
  39804. Thanks a lot for this review!
    2
  39805. Thank you sir.
    2
  39806. very helpful!thanks!
    2
  39807. In maths, there is peace and comfort for mind. In real war, there is none but trauma, emotional scars, ugly memories, etc.
    2
  39808. 'Learn mathematics from start to FINISH' 😅
    2
  39809. Wish I could be the first viewer of this video.
    2
  39810. How about getting a zero on your calc 3 test because you were not able to upload your work fast enough even though you know the material well and know that you got all the answers right, can I get an F in the chat bois like the F Im gonna get in online college. for real tho - love your videos, Hopefully preserving through this will help me.
    2
  39811.  @TheMathSorcerer  You're right, and I've just sent an email to that effect. I'm quite embarrassed how much the zero effected me. I was having stress dreams about it for the rest of that week! I really needed this video man.
    2
  39812.  @TheMathSorcerer  so Update: the zero didn't change, but the final exam replaces the lowest test grade, which I took and feel good about SO It looks like I'm going to get a decent grade this semester! :)
    2
  39813. Can you also please talk about, Foundation Maths by Robert Davison (Author), Anthony Croft (Author)? 6th Edition.
    2
  39814. Couldn't imagine my physics masters degree without good old integration by parts
    2
  39815. I just found out Horace Lamb was our first Sir Thomas Elder - Professor of Mathematics at our newly established Adelaide University from 1876 - 1882. He set up the faculty.
    2
  39816. You are the shit. I love this site. How you do you do it cat, scanning across a broad spectrum, though too little of it do I understand, red faced as I am too admit it. I struggle with the slav, much less charting sol, no joke rex, or is that rizz...rd? Srrk or sttik, slippery slope I hear
    2
  39817. Today if you go for a B.S. degree, for sure go for a Masters's degree. Yes, if you are that far go for your PhD.
    2
  39818. You sir are a life saver, thank you so much!
    2
  39819. I tried to find a book just for representation theory but can't find any good ones. I think I'll check out this book.
    2
  39820. I used to clear the table, grab a beer and chill out while working on statistics problems during my masters and doctoral programs. I'm not advocating drinking, but maths make me anxious and I needed to be able to relax a little when I approached higher levels, and that's what I did and got an "A."
    2
  39821. I can't pay attention if I'm focused on writing stuff so I hate taking notes in the moment but afterwards or something else like audio video then notes
    2
  39822. His "Introduction to Calculus and Analysis" is the best calculus book I've found anywhere.
    2
  39823. #edutubeeducation
    2
  39824. I am 51 and I learned R programming last year. Iam a biologist with a little bit of programing experience though (bash scripting, Basic). Very happy about it.
    2
  39825. angles and triangles in relations keep me insane
    2
  39826. This was amazing, thank you so much!!
    2
  39827. Taking Advanced Calculus 2, Modern Algebra 2, and Differential Geometry. It should be fun!
    2
  39828. um excuse me mister, did you just fluently read that spanish quote lol. I definitely would have never expected that
    2
  39829. ayoo my girl is on here, put on a shirt bro 👏👏
    2
  39830. Very good question .... Keep it up
    2
  39831. Can you tell me your favourite book
    2
  39832. I am currently using Gamelin's Complex Analysis. I might look to find this one if it is better.
    2
  39833. A college English graduate school prof always told us "it's hard because it's hard."
    2
  39834. Why does he look like Jeff bezos wearing a wig
    2
  39835. What about Evans?
    2
  39836. I totally underestimated maths! 😭😭 Crying everyday looking at the book. Not the kind of maths i like
    2
  39837. Didn't have to take Differential Equations. Had to take a calculus based statistics class that had Calc2 as a prereq. Calc3 or linear algebra was required for graphics CS classes but not a degree requirement.
    2
  39838. This dude. Abides. Definitely.
    2
  39839. Well, you should list in writing in short the books you mention (Title, author, publisher and edition); secondly if you are a beginner, intermediate, advanced level; Unfortunately, many math English books do not have complete solutions but only either with even or odd, especially for beginners, you need to take another book for the other solutions. Here some subjects, for each you should indicate beg., inter. Advanced: Arithmetic /Theory of numbers Set theory and logic Pre algebra and / or algebra Geometry Trigonometry Discrete mathematics Linear algebra and matrices Vectors and vector analysis Abstract algebra Precalculation Calculation Advanced calculation Differential equations and Fourier analysis Topology ... ... Anyway thank you very much for your list.😊
    2
  39840. well said sir why to write a book when we have one already. sir how about giving a thought on writing research papers instead of a book? just suggestion. on a side note: today i started proofs from discrete maths book and ytube recommended this, what a coincidence.
    2
  39841. Tq
    2
  39842. Smart, great physique, and a nice guy. What more could you want?
    2
  39843. Dude. Blink. 😉
    2
  39844. Can we get a detailed video on Your views for RAMANUJAN , please
    2
  39845. Awesome advice! Really appreciate the help!
    2
  39846. I don't say there are no elitist mathematicians - that would be nonsensical. However, I think there are particular features of mathematics as a discipline that make it more susceptible to misapprehension in this way. 1. It is very much a creative artform, but viewed from the outside as a very mechanistic science, making mathematicians who wax poetic about it come off as a bit pretentious. 2. It uses not only a lot of jargon, but a lot of extremely precise wording. This can make it sound like you're trying to sound impressive and be needlessly pedantic at the same time. 3. There are lots of problems that are easy to state but hard to solve - or at least they take a long time to lay out proofs for. This, as well as defining above-mentioned jargon terms, results in a lot of "Well, I can explain, but it'll take a few hours..." which might sound condescending, but is really just because it took hours to learn the stuff and mathematicians usually don't like simplifying to a point where details are lost in translation. And yes, I'm a pure mathematician who likes to joke about it being the highest/truest form of maths, and all those physicists and engineers are sell-outs; but I also call pure maths "problem solving for dummies", because part of why I like it is that my brain can't cope with the distracting level of detail in real-world situations.
    2
  39847. Not sure how far the analogy extends. I prefer minimal design. In math I strive to prove statements as shortly as I can. When writing code, I think of a way how to minimise syntax etc. I do have a small apartment containing, what I think are, essentials. On the other hand, my tastes in music are far from minimalistic.
    2
  39848. Yes
    2
  39849. Thank you 👍
    2
  39850. This was so helpful! Thank you!!
    2
  39851. Young and Freeman is better imo as it goes in more depth.
    2
  39852. Birds are the best! My parents had chickens and they were better than a dog for me. They just embodied this really funny persona. Like little mini human raptors, but without hands so it was funny, because they walk on two feet. They are extremely clever, hoping over 4 feet fence to get food, but so dumb, that when they instinctively scratch for food and knock the bowl away, they are completely confused where the food went! LOL
    2
  39853. Thanks for the video.
    2
  39854. "you are who you hang out with" applied to me means I am actually nobody. math is lonely.
    2
  39855. Thanks for this. I can never understand how this works. Perhaps I need to not understand, just do the process!
    2
  39856. i dont know what drugs this guy is on but he just saved me for my calc test
    2
  39857. Love this channel
    2
  39858. Wish I could like this a million and one times, thank you math Sorcerer for this helpful list.
    2
  39859. This video is just the dopamine hit I need to feel like I learned all of math without lifting a finger. Thanks!
    2
  39860. sir, what is the website u mentioned to solve integrals??
    2
  39861. Damn. This why he retired as CEO of Amazon?
    2
  39862. Thank you!
    2
  39863. "Mezhdunarodnaya Kniga" in Russian language means "International Book"
    2
  39864. Since 4th grade I have done the same 4 things in order to do great at any subject: ZERO notes (I just felt I got distracted from what the professor was teaching and, anyways there were books, wikipedia, yt, pdfs anything for when I may got stuck.) golden standard of practice: 12h+ per week of excercises (specially vacations), use last weeks of each month to redo the entire course on your own... you can use books to fill in some blanks (usually books are best to fill in blanks and for giving more perspective but are very bad for "explaining"). If you do not understand a topic try to figure out the first-principles behind them. Construct your own examples, excercises and counter-examples, do a lot of thought experiments with concepts and your understanding. If you remain stuck seek professors. At this stage, usually just one professor would not do it. I would chat about my question with several 5+. Do every course at least more than once: Before I would take any course I always read the corresponding books a couple of months in advance. In undergrad school I went further than that I studied calculus, geometry and abstract algebra on my own during highschool, when I reached undergrad I only took the courses to fill in blanks making questions to my professors and, to get into the advance courses before I formaly took them. (For example, during my first 2 years of undergrad I had taken almost 80% of all undergrad courses offerd at my faculty it took 42h+ a week but it was worth it.)
    2
  39865. Thanks for you
    2
  39866. Thank you for helping me, to.. multiply with with letters
    2
  39867. "Hey you studied math?! Care to look at my investment portfolio?!". Also "You study math?! I HATE math!" always made me uncomfortable, talk about getting off on the wrong foot.
    2
  39868. Are you in MIT?
    2
  39869. God bless you sir
    2
  39870. Thanks for this video.....you are really cool mathematician.
    2
  39871. I wish people and relationships were as easy as math :(
    2
  39872. Thank you! Amazing subject!
    2
  39873. OMG SECOND COMMENT XD
    2
  39874.  @TheMathSorcerer  This is cool! I started with Ragnarok. very good this list of RPG's. it makes you the best math teacher at the moment. haha ha
    2
  39875. Einstein also once said: "Imagination is more important than knowledge." "God does not care about our mathematical difficulties." In other words, there is more to life than just maths on papers. I much rather fail maths than lose an entire family to multiple dangers like terrorism. I nearly lost half of them, if not for prayers. Almost everyday, I am constantly praying for all my relations' safety. Few years ago, I nearly lost my sister to terrorist attacks. She and her partner were trapped inside a hotel where terrorist attack took place. They first saw residents tearing their way down the stairs and some came running out of lifts, telling others to run for their lives. A short distance, my sister & partner ran back to their room and locked themselves in for days, while a terrorist was prowling the corridors, seeking victims to gun down. Thankfully, they escaped. Imagine which is more important. High math scores and grief over lost loved ones. Or, math failures and having family & friends around.
    2
  39876.  @TheMathSorcerer  thanks for the heart ❤️🥺
    2
  39877. I wish I'd known this in junior high. I was in my late twenties before i finally came to that conclusion. I took remedial algebra in college five times until i finally passed. Passed the algebra 101 class first try after that. Sometimes, just accepting things and not trying to understand it doesn't always work. I tried it with statistics. Nope. But, i find watching documentaries about math quite enjoyable.
    2
  39878. whats the best calculator to get? please do a video comparing calculators.
    2
  39879. Awesome explanation 🙂
    2
  39880. I love calculus, just getting started learning it! :) I now know 1 but not 2, 3 any tips on learning?
    2
  39881. Have a solid and functional understanding of Trigonometry - it applies extensively in calc 2 and 3.
    2
  39882. jungs, daniel jung kann einpacken
    2
  39883. You saved me!! Thank u!!
    2
  39884. Notice how the book lists Army-Navy-Marines but no Air Force? That's because in WWII the Air Force was part of the Army. It was turned into a separate branch of service after the war.
    2
  39885. Can you pleaseee make videos on linear algebra?
    2
  39886.  @TheMathSorcerer  tysm😊 im having alot of difficulty understanding it in class Specially stuff related to vectors
    2
  39887.  @TheMathSorcerer  omigosh thanku sooo much, shoot i shouldve gone through your playlist
    2
  39888. I have a qustion for you that bothers me. I hope you can answer me. Here it is - in all the textbooks relations are defined as subsets of cross product of the sets. But is not that definition circular coz subsets are also relations? Can a general term be defined by a specific term of the same kind? I think it is wrong (I'm tryin to be a critical thinker here, aren't I).
    2
  39889. thanks for your videos
    2
  39890. In Eastern Europe like Russia, students in high schools and universities have to give oral presentation of maths.
    2
  39891. I'm pcb student😂😂
    2
  39892. I am listening to this video while doing other things, and every time you mention a book I used in high school or as an undergrad, and call it kind of old, I get a little flustered.
    2
  39893. thanks for helping
    2
  39894. I think IQ matters less if you are trying to teach someone just the "step by step" method of how to solve a problem, but to truly understand the theory, it requires a certain amount of intelligence
    2
  39895. thanks a lot ,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,
    2
  39896. I have a master degree in mathematics and I’ve learned about all of those topics (except maybe Graph theory) hehe ! And more ! For exemple Game Theory ! Honestly I kind of hated it but it introduces some concepts which are very useful. Sadly now I have to read some books written by authors that didn’t even exist like Éléments de mathématique by Nicolas Bourbaki or other books that prove 1+1=2 in roughly 500 pages.
    2
  39897. You laugh, but this is what it's actually like.
    2
  39898. Damm, that looks complicated.
    2
  39899. Sir, why do you solve the linear equation in such a complicated way. Simply transfer the terms changing their sign if add or sub. Multiply if division and vice versa. Even before i used this way. But i was reproved and bought to the way described above
    2
  39900. 🙄end!!!??? Do maths has ending??
    2
  39901. my fking eyes
    2
  39902. In my case I always aspire to get 100% of the tests right. Even if nobody has ever done it, you need to always expect a 100%, so you'll probably get at least an 75%, but if you go to a test expecting a 75% you're probably gonna get like a 50-65% or even less, so always be ready to get a 100, even if it's impossible
    2
  39903. That was funny. Looks like most families all the time.
    2
  39904. Thank you! Helped me instantly understand a 2 week calculus class that was being taught by my econs prof!
    2
  39905.  @TheMathSorcerer  have you done a video on your modules u took for your masters?
    2
  39906.  @TheMathSorcerer  Thanks. Looking forward to it.
    2
  39907. FUCKING THANK YOU!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
    2
  39908. you have the best advice and it’s crucial now more than ever since remote world
    2
  39909. Amazing... It's maybe what I needed to heard... just Thank you
    2
  39910. A big problem for me was that I'd heard a lot of this stuff and picked up rules by just watching random videos over the years, so I knew some calculus but not enough to actually solve any problems. That made it a lot more boring to actually try and learn calculus systematically, which I'm doing right now with Stewart's book. Has anyone else had problems with this?
    2
  39911. Plane trigonometry by Sl loney
    2
  39912. ME in the lesson be like: ??????????????????????????????????????????????????????????????????????????????????????????????????????
    2
  39913. I have been the 2% (literally) (-_-)
    2
  39914. I love you ❤
    2
  39915. Friends always annoy nerds for homework help
    2
  39916. was scared for a sec, thought u were quitting youtube.
    2
  39917. I struggled with math as a kid. I didn't want to be defeated by it though. By the time I was looking at college I knew I had to face it like a great beast in a dark cave full of unknowns! And eventually, I found myself discussing those unknowns, and those known unknowns, and those possibilities and how to build stuff with it all!
    2
  39918. ❤️❤️❤️
    2
  39919. i really suck at Multiple integral problem ,my exams are coming also can u please 🥺 make a detailed video on multiple integration and change of order of integration stuff . Thank you for all the videos 💖💖
    2
  39920. Tao is gifted.
    2
  39921. These videos be good for beginners though :)
    2
  39922. gotta love this shit
    2
  39923. tnx
    2
  39924. Cool
    2
  39925. Probably the best YouTuber on YouTube
    2
  39926. Why tf did you have to take biology as a math major?
    2
  39927. When it is convenient to you please answer my question .
    2
  39928. This man doesn't blink or what
    2
  39929. Thank you, motivational math angel.
    2
  39930. That is the book I used in the 70’s at college …. for you doubting Thomas’
    2
  39931. Stop watching this video
    2
  39932. He looks like the Jeff Bezos who didn't make it
    2
  39933. My major is electronics, we should study calc 1,2 and 3 in the first year but our teachers sucks. We don't even have online courses ... Hopefully there exists x s.t. X= the math sorcerer, sir I need your help, I covered the entire calc1 and I am in the start of calc2 do you think I'm doing good? I started at the beginning of this pendamic I don't orgnize my time + we have lots of modules to cover I'm struggling with my first year in college, I wanted to be a mathematician, but in this country algeria all the colleges and unis teaches in French which I hate to the bones, only on college teaches in English that I can speak and understand but it is an electronics school I don't like it to be honest, but I am always trying to find a tiny flame of hope and light in it ... I need help with this I'm starting to loose my energy that I started with and that will... ---------------- Note: most of the universities in Algeria are free but they teach you sh**t sorry our deplomas and certificates aren't recognised worldwide, that's what you get for free I guess. -------------- I saw that exam and I am sure that I can get an A or so, When I do maths I feel alive I feel love I feel something that can't be expressed with words, but on the other hand when I do that engineering stuff I feel like I am just a dog that strayed away from his house that dog can bite but does not like the meat outside his house. I am sorry for the long message, and thank you for everything you made and you are willing to make, sir you're the best, I am just hopeless that I can't do the things that I like anymore it's my ultimate fate of my life, life gives me a taste of its best wine and then just before it reaches my mouth it turns into nothing. Mixed emotions are fighting inside my head, and I am just watching them.
    2
  39934. Bruh!... No shame in ranting without a solution. People today are too ridiculous thinking you can't complain without a solution. Yet these folks don't have good solutions themselves.
    2
  39935. Plane trig by SL Loney
    2
  39936. You Should Try To Explore Books Dedicated For "JEE ADVANCED" Mathematics Especially the ones that Cover Theory Along with Questions (which most of them do). JEE Advanced Stands for 'Joint Entrance Examination- Advanced' which is one of the toughest exams For Undergraduate Engineering Programmes In India. Just Try Reading some of them you won't be diaapointed. Especially the Standard book By NCERT.
    2
  39937. geez how can you have those hundred books behind you
    2
  39938. ❤️❤️❤️
    2
  39939. Please recommend basic books on Complex Analysis
    2
  39940. Recently I have been writing Regional-CNNs for object detection in real-time.
    2
  39941. damn Jeffry Bezos is so good at math. it's insane
    2
  39942. 🤔😂🤔
    2
  39943. Dude from the series Chuck is a math Teacher
    2
  39944. amazing
    2
  39945. I think even more basic and more to the question would be studying set theory and predicate logic. There are books on these topics from the University of Calgary's Open Logic Project which has books on these subjects for download for free. Followed by Schaum's Set Theory, While we're on the subject of proof writing, how could you forget Hammack's BOOK OF PROOF?
    2
  39946. I’m loving these videos 😂
    2
  39947. I love you😘
    2
  39948. This ended up in my recommended somehow and is a painful reminder that I cant pursue Computer Science because i suck REAL BAD at math(mind you im doing my last year of high school).Only wish i had a gifted mind...
    2
  39949. Profesor, no le entendí lo que dijo, no hablo ingles, pero su manera de interpretarlo corporalmente me hizo entender el ejercicio. Increíble, muchas gracias
    2
  39950. ”Get a credit card” - Math teacher on the internet
    2
  39951. Hey you once said that the leithold book of calculus is easier than the spivak. By easier do you mean that the contents are easier or just easier to read?
    2
  39952. first
    2
  39953. Insightful. :)
    2
  39954. The paper is definitely thinner you can see through the pages! Vol 3 4 and 4b are out
    2
  39955. This guy looks like if jeff bezos had hair and was blonde.
    2
  39956. Sir, I am currently 25 and have gone through social major but my favorite subject is maths and I want to work on it as just as a passion. I really want to master maths because I like it very much. I do remember my high school maths like basic trigonometry intermediate algebra but I want to still refresh the past and start it from first again. I mean you know not from additions and subtraction. Do you think this path is nice for me to master maths. If it is I am having a small doubt. How much time would it take to master maths if I follow this order. Hope you will reply thank you.
    2
  39957. That is dope. I have a 1930s textbook on spherical trig by Palmer and Leigh that I found at a used book store. I need to read it!
    2
  39958. I'll surely try to rock climb if I can find a gym at my school. I think you're on to something
    2
  39959. Thank u math sorcerer!!
    2
  39960. Thank you
    2
  39961. Calculus is the most useful, powerful, and beautiful branch of math for anything that changes; it is the essential tool in physics, chemistry, biology, engineering, statistics, and economics thanks to Isaac Newton and Gottfried Leibniz, who realized the universe speaks this language. Sylvanus P Thompson’s Calculus Made Ease (330 pages long!), revised by Martin Gardner in 1998, is the best calculus book for high schoolers, college freshman, and any person wanting to learn the essentials of calculus. Even poets and painters, writers and musicians will reap its benefits by sharpening their logic, imagination, and thinking skills. 💕☮🌎🌌
    2
  39962. I am grateful everyday for people like The Math Sorcerer, who take the time and effort to lift others. 🙏
    2
  39963. For people who are not math minded, may see that in others when they can't reach those levels of understanding.
    2
  39964. Truly great video and a clearly underrated channel ! (TLDR I went from last in a class to having the best grade at the final by becoming humble, self teaching myself and then helping other students) Hi, 3rd year management student here. I had an econometry/ R programming class earlier this year that I loved. This was the first time I did programming and I never did academic statistics before (with hypothesis/tests...) and never did polynomial regression before that class. I studied a lot, got my first exam and scored below average: I was devasted but I asked my teacher some books I could study to get better. I bought them all, and read only a few pages at a time and what was a kind of "depression" feeling at first, became excitement: because I had so many wonderful topics to learn and I was learning it, pages by pages, concept by concept... I felt humble for the first time of my life; I understood that life isn't a competition and people who know more than me, went through a lot too: if you show them your curiosity and the respect they deserve, most of them are willing to light your path, advise you of the shortcuts, and warn you of the mistake they made when they were learning it. I scored the best grade in that class among the whole college, while helping other struggling students to study it, I never told anyone about this story, but I feel like it's the core memory that defines who I am today. The 2 advices I would share from that experience, to anyone whose willing to hear it, are: - Knowledge is never lost, and I totally agree with you, given enough time anything can be learned. Being curious is like that unstoppable force meeting the motionless object that is knowledge, if you can't understand something today, try again tomorrow. - The difference between depression and humility is slim because they both acknowledge being inferior: the first one to your perfect self, the second to other. The problem is you can only learn from what "is" and not what "could be". Thank you to anyone who read it, I hope you'll learn anything you wanna self teach. Have a great day !
    2
  39965. you're a very inspiring guy yourself
    2
  39966. I like your books in the background 🙂🙂🙂🙂
    2
  39967. I heard it this way: Don't chase the money... Let the money chase you. That's hard for most young people because they don't know what they're good at yet, so they have to make arbitrary choices. I "majored" in programming because there were lots of jobs in programming. "Wrong reason". You should find something that you are COMPETITIVE at, and it helps when you like what you're doing. If you're just doing it for the money, chances are you're not going to survive the competition (sorry, but that's the real world, that's Darwin in the workplace; if you have a manager that cuts you slack, or a work situation that's more like a work-at-home sole-proprietorship, then you might be alright). Professional (get paid for it) vs. amateurs (yes, I can do this, but casually, not competitively.)
    2
  39968. Do you have an email address how do I send
    2
  39969. Sustained Active Recall is huge. Take the imagery and move the pieces in your mind. Bring the formula up close...enhance the color...animate the concept. People will go to any length half killing themselves to have fun. Clarity...desire...patience... relentlessnous...and yes, like the Math Sorcerer said consistency. If you have all the above yet don't stay consistent you will find yourself still spinning your wheels in the same rut years from now...wishing for what you could have already had in your grasp.
    2
  39970. Very useful I love u man
    2
  39971. We learn from English books in our university, and I feel sometime it's hard , because we are Arabic people, imagin I buy this ispansh book , it well be so so hard to understand
    2
  39972. Answer is 1/√2
    2
  39973. On god a math sorcerer
    2
  39974. First, theres nothing special about math here. You have these stereotypes about most stem majors in US. "Math people are lonely", "engineers are socially inept", etc. Second, these stereotypes are all very particular to US, in my opinion for the simple reason that US highschool system is pretty awful and it is not a science friendly society. European mathematicians are a lot more "normal" in their personality, and math or physics are like any other subject in asian countries (Im from Iran myself). Not to mention people often study and make a career out of math or any other thing for reasons that have nothing to do with their personality or the subject, e.g. money. Im not saying theres no truth or context to these somewhat poetic, nostalgic or even comic stereotypes, like the image of a lonely genius or some intrinsic mysticism of a field of science. My point is this a wrong angle perpetuated only by media and content like this that intentionally magnify and bolden the stereotypes.
    2
  39975. I once had that curiosity, had to kill it I hope to bring it back somehow
    2
  39976. Thank you
    2
  39977. dz~=sum of however many directions this is made up of:((the rate of change in a direction)×(a small change in that direction)) this quite simply gives us like a vector summation thing where we would get a diagonal right? I though z would be perpendicular to the x and y directions. Or what? The function moves a little bit above our x and y combo when we have this diagonal change? And this is gonna give us the change in our height. Okay, I've convinced myself. ONWARD!
    2
  39978. That differential equation we produced from scratch is a partial differential equation. Well when we make the actual z value constant, you've got this whole plane with the same z value that a function of y and x operate on. This function is restricted for its z value, so it makes sense there wouldn't be any change in this z value. Now we get to just do differential equations on a plane, okay we shalt continue.
    2
  39979. Partial derivatives are baby, why do we wait to learn them? Well nevermind that for now
    2
  39980. So the important thing that I just realized is that this whole M and N thing I don't really understand is eerily similar do this ( del f/del x )dx and y thing. From here I think I can tell that M and N are stupid and there is no reason to even think about it. We do the partial with respect to x and the partial with respect to y of the function we got which is easy, and then they are supposed to sum to 0 if we're trapped on a plane. Calling this some kind of theorem with a funky name really caught me off guard, Richard Feynman really had a way of doing things. Names dumb, concepts smart.
    2
  39981. Okay, correction, we're restricting it to a plane, but if the function doesn't WANT to be restricted to a plane, then it won't be continuous on this plane. We'll have gaps.
    2
  39982. Our test for this continuous function on a plane is that the partials of the function in both the x and y directions remain equal. I would like to see some situations where this is breached so I can understand what characteristics a function has to make f_[xy] != f_[yx] when there is a plane restriction. I know that visually it would be something like a curve that juts out of existence for a bit, and if we could just graph it we could examine that there are gaps in existence then we wouldn't need to even do the next part. But you might as well confirm it this really fast way where you do a baby move twice in a row. Got it, its like a trick.
    2
  39983. So we have our function equaling z, but we set z to some constant restricting our actions to a plane. We then have the partials of that function multiplied by a small change in their partial's direction on a plane. It is good practice to then confirm that this function is continuous on this plane, we can do that quick check by finding the other partial, if in all directions it always has some slope, then the double partials should look the same. Now that we've done that check we just have to work backwards. We have the partials of our function, and now we just need to find our function. We set Z to a constant, that's how we had it equal 0 to begin with, we just have to integrate our partials to get parts of our original function(some information is lost until we do some more work) we have a g(y) and an h(x) : f(x,y)=h(x)+g(y)=C. h(x) and g(y) are the x and y parts of the original function. I skimmed over it, but obviously g(y) = the integral of the partial in the y direction, and h(x) = the integral of the partial in the x direction. See? Easy. Okay thanks!
    2
  39984. Literally was dreading my algebraic topology homework i have to work on but now I'm ready to dive headstrong into functors and covering spaces. Thank you Math Sorcerer.
    2
  39985. What about the G.F Simmons book ?
    2
  39986. Thank you.
    2
  39987. I’m currently in Calc 2. I am having trouble conceptualizing sequences and series. Any tips?
    2
  39988. What do you think of the Ellis and Gulick book? I originally studied Calculus with the third edition and I think it’s up to the 8th now
    2
  39989. man,you always knew what I want!
    2
  39990. This is so true and can understand what you mean and will like to be a part but I wish to learn more
    2
  39991. the feelings to have such a collections ...
    2
  39992.  @TheMathSorcerer  i only have middle column of yours, but not math, computer,. i also have a friend that have double of your collections, but in biology things. you intend to create another collections?
    2
  39993. Hey awesome advice!
    2
  39994. can you do a video on PEMDAS? I know that it's standard but there are those that say it's crap
    2
  39995. Mom: We have jeff bezos at home
    2
  39996. Thanks for this video. I was fascinated and ordered the book. Just received it, but the modern paperback isn't quite the same as the great layout of the plan on the inside covers in your older, hardback version. Still looking forward to reading it though. Will definitely be looking out for a second hand copy now.
    2
  39997. Awesome! Super helpful. Quick quesiton. What software/hardware do you use to record lectures like this? I am interested in starting to make my own math videos and teach on youtube. Any tips to get started? Im a third year in college. Thanks!
    2
  39998. What if someone like me likes something, grinds it everyday but are not really that good to make it work? Also one think Americans have that I really like is that positive reinforcement that "you can be anything you want". Such a great mindset!
    2
  39999. I like mathematics mostly I self study but I can't say that I'm very good at it but i like the subject that's why despite failing so many times I don't regret or get frustrated .... And I have learnt most important thing is keep doing mathematics and keep practicing because I know much more now that I knew previously like any skill you can learn mathematics you just need time and focus. I also done some chapters from baby rudin and try to solve some exercises from it but I'm not completely satisfied i will go on second run and channel like yours has kept me motivated to do learn more so thank you for that.
    2
  40000. I will be taking your consideration and trying to re learn some of the math I forgot from college thank for this service
    2
  40001. I am having hard time trying to get the very first book, Discrete Mathematics with Applications. Is EBay good source to get it?
    2
  40002. im 34 years old and i was so wondering about math but i felt always that i caanot understand math deeply i was so lazy scared of failing when it comes to solve problems despite i love the xay how numbers and fuctions descibe our physical world. help
    2
  40003. Sir please suggest a best book for advanced abstract algebra
    2
  40004. Indeed watching those around you work hard is inspiring, but the Math Sorcerer is the ultimate inspiration!!!
    2
  40005. What happens if the integral changes to: Integral (secx • tanx dx/ 3 + sec²x) ?
    2
  40006. If you’re a real math sorcerer what’s 9+10?
    2
  40007. I’m also trying to learn cursive to try to take faster notes.
    2
  40008.  @TheMathSorcerer  It’s muscle memory man! Never doubt the fingers!
    2
  40009. thank you!
    2
  40010. I got a B in statistics today!!!! I worked my butt off for it.
    2
  40011. Credentialism and having a piece of paper are important in todays society.
    2
  40012. Heard you twice, thank you for the wise counsel.
    2
  40013. Good for you man! I'm in my senior year of high school and I'm just now starting to take math seriously, your message was very inspirational and motivating, thank you!
    2
  40014. Awesome! Never to late, als long as we keep pursuing :D
    2
  40015. Foam Farmer It is arithmetic, algebra I, and algebra II for students of all ages. It teaches the skills they need to succeed in credit level math courses. Some call it remedial, I don’t. These students knew the math at some point in their lives. They just need a refresher.
    2
  40016.  Foam Farmer  Yes. I teach at a community college in Northern Virginia. My students range from recent high school grads to people who have not studied math for years. One of my students was motivated to do well because she was three months older than me. She passed after two semesters. Her daughter joined the class during the second one. She was not older than me, but was still motivated. :)
    2
  40017.  Foam Farmer  It all depends on the college. Some offer it others don't. It may be called by another title. Contact the math department at your cc and describe the coursework to them. They could call it something like non-credit math or pre=algebra or basic skills. If needed, you could always take through our online campus. It's called NOVAOnline. Our webpage is nvcc.edu.
    2
  40018. The Math Sorcerer My masters is MAT. My colleagues think it’s funny to draw in an “h” on my nameplate every semester. It is a great motivational technique to get me to finish a MS degree. But, your videos are better. Museums are places of informal education (like hands-on activities). When you review a book, you are doing a type of object lesson. Techniques from museum education are used in traditional classrooms all the time. George Polya propsed using informal education in “How to Solve It.” I don’t he called it that though. So, my transition from museums to learning labs is not that unusual. Polya’s books and life are fascinating. Have you done a video about him?
    2
  40019. Thank you! This was very informative! Does this also work similarly to just a Master's program?
    2
  40020. The integral sign is not a stretched out "s", it is the symbol "ſ" written in cursive script, which looks more like an "f" without the line through it. The name for that symbol is "long s" (https://en.m.wikipedia.org/wiki/Long_s) and was used in English until recently. So when Leibniz originally wrote "ʃ", it was used to stand for the latin word "ſumma" meaning "sum" and pronounced "summa". It is slightly disingenuous to tell students that the integral sign is a stretched out "s", even though that is technically correct in some sense (after all, the "long s" is still an s), because obviously they will not be thinking of the symbol "ſ". In reality, students were first told that the integral sign stands for "sum" purely as a mnemonic aid, disregarding historical accuracy.
    2
  40021. I am trying to learn how to do proofs but no matter what I can’t just don’t understand how I get ideas to proof it like how do you get the idea can you recommend how to do study myself. I am quite good at math despite proofing or geometry and physics. So how to learn it cause I am trying to win national math Olympiad and get into IMO
    2
  40022. # (1) The top score of this class was 54%. What would be the solution? 54%=wtf(drop out) 54/100 = drop the f** out
    2
  40023. Valeu!
    2
  40024. THE COMMENT ABOUT HOW IT SMELLED CAUGHT ME OFFGUARD SO MUCH OMG
    2
  40025. i was curious if you could do a video covering books and in what order should learn them to be able to cover the syllabus of a undergraduate math major or undergraduate syllabus of pure mathematics students. It would be cool see in what order one should approach the topics and what are some of the good books in those topics
    2
  40026. How to get these books?
    2
  40027. This is Elvis from Brazil. I am attending your courses at Udemy. I am waiting for a good course on Linear Algebra that only you could provide us!
    2
  40028. words not enough to thank you you are the best
    2
  40029. Please prefer bright neon colours to dull colours for those with night blindness and colour blindness.
    2
  40030. His name is Sussman
    2
  40031. you're a genius
    2
  40032.  @TheMathSorcerer  I wasn't expecting such a quick answer, ty very much for your help!
    2
  40033. Thanks for another awesome video! Great explanation!
    2
  40034. thank you man
    2
  40035. ❤❤
    2
  40036. Of course you have a scale
    2
  40037. First lol
    2
  40038. tbf most stem people are highly susceptable to elitism. this is speaking as someoen who is nearly finished my computer science masters
    2
  40039. Casual read is how it starts.. but it invariably leads to me getting out of bed, going to one of the chalkboards or whiteboards throughout the house, or getting out any of the dozens of graph-notebooks and at least starting to hash-out some of the basics (at least). I WISH that I could just read through and suppress the need to work out some of the stuff. I mean, even stuff as easy as linear algebra is getting me across the room to the board. My only saving grace is that I won't start any proof after 10 PM.
    2
  40040. Can anyone recommend a good supplemental graph theory book?
    2
  40041.  @TheMathSorcerer  Thank you so much (/≧▽≦)/
    2
  40042. Thank you for nice video 👍🏻
    2
  40043. I love how he caresses the wizard
    2
  40044. Totally agree.
    2
  40045. Prof burger, dork and one more trade to go...
    2
  40046. In the earliest years, learning handwriting was easy, as I was already an artist. I just mimicked strokes without making any sense of written letters or even words themselves, unless printed words were associated with objects as in mnemonic posters. I made sense of printed words from comics, but poorly from school textbooks. Comics saved me from a lifetime of illiteracy. In teenage years, I continued reading comics, therein picking up idioms, slangs and proverbs, these committed to my memory. At the beginning, I was mute. I used to enter shops with sketches of sweets and showed them to assistants who understood what I desired to buy. Art was my voice, my way of communicating with others. At 7, I made first sounds, but had difficulty in forming full sentences and couldn’t well pronounce my letters. In first school, I was largely ignored by teachers, except for one nun who volunteered to teach me read for at least one or two hours each day. I never learned spellings off by heart. I learned them just visually. At 11, I went to a special school for deaf children, where I finally received full attention to my impaired speech, reading and writing. I remained there few years, before changing schools. In deaf school, I was first time introduced to cursive handwriting, not previously so in normal schools. Amazing art of florid writing. I wasn't exactly stone-deaf, but just TONE-deaf — in other words, I was musically deaf. My hearing too muddy and unclear, I had too great a trouble in distinguishing sound-alike vowels: e.g., "ee" and "ay," "uh" and "oo," and so on. After leaving school, I struggled with speech impediments and bad English like bad grammar, poor punctuation and limited vocabulary. Then one day, I decided to do something about my flaws: I turned to self-studying. I borrowed self-help books from a library, bought a pronouncing dictionary by Daniel Jones and began studying model speech from textbooks. From books, I learned IPA codes interpreting letter sounds. Afterwards, I enlisted help from a student actress, who meticulously taught me correct lip & tongue positions for each letter sound. I’d mastered letters fully and amassed a pronouncing vocabulary. I learned parsing and intonations too. Today, my reconstructed speech is fine. Good news, my muddy hearing has gotten clearer and clearer by listening exercises. In training, I wear eyemasks for heightening my sense of hearing and listen for nuances in tones and pitches and accents too.
    2
  40047. thank you! it's very helpful
    2
  40048. This guy reminds me of lex Luther
    2
  40049. Thank you man
    2
  40050. Cheating is a dishonorable and degrading act. But even worse is when a professor wrongfully accuses a student of cheating;, perhaps because the student aced an exam that the professor believed was highly improbable to ace etc. wrongful accusations are incredibly hurtful and disheartening.
    2
  40051. Thank you!
    2
  40052. Would have been great but the flashing lighting gave me a seizure
    2
  40053. Excellent book recommendations. I'll use the links.
    2
  40054. That music is interesting. Ovnis?
    2
  40055. Your amazing thank you!!
    2
  40056. I love the straightforward nature of your proofs- but by assuming that x belongs to the mentioned set, aren't you assuming that your proof is right to begin with? And that'd be wrong right?
    2
  40057.  @TheMathSorcerer  I too felt the same doubt . Let me explain . We have to prove that f(x)=y but in the start of the proof you assumed that f(x) that is mx+b =y . So aren't you assuming that your proof is right from the beginning ? Could you give a further clarification at this point . Please help
    2
  40058. I saw the thumbnail and thought, "Gotta be a professor. Either that, or a homeless guy."
    2
  40059. 15 hours a day is excessive. I studied 8 hours a day to get through it and managed, and I took as many online university classes as possible because I also work for a living. However, online is far more difficult than in person. My instructors never gave any "breaks" such as dropping the worse grade; mandatory quizzes every week and if you miss two you are automatically given a "F". My exams were proctored, which means the scientific calculator was provided by the school and so was the scratch paper. Just prior to major exams I would study at least 12-15 hours to review all the material from scratch. The stress was so unbearable I remember almost passing out walking up those stairs to take my exams -- I had to sit down because I was going to pass out due to the stress.
    2
  40060. I'm not that good at math, I learn what I need to excel in my career (data science). However, I watch many math videos in the same way that I watch videos of origami master's. There's a real beauty in being fluent in math and seeing a master run through proofs and solutions. I've learned a lot just by observing better mathematicians than me.
    2
  40061. People in internet saying that this book uses infinite smalls instead of delta epsilon, which is the modern way. I'm just started with limits and delta epsilon proofs, so I'm not sure what are they talking about. Is this might be a problem?
    2
  40062. i found disk and shell doable but for some reason the inverse trig substitution was really hard
    2
  40063.  @TheMathSorcerer  I understood the point on where to get the 7/2 but I'm still a bit confused why it's -(2x-7). :(
    2
  40064. Wonderful, thank you!
    2
  40065. CRAM
    2
  40066. No!
    2
  40067. How much would it cost to buy all those books?
    2
  40068. Thank you so much, as someone with adhd you were able to actually keep my attention!!
    2
  40069. James Stewart was a calculus writer?! What’s next- Cary grant was a physicist?
    2
  40070. I'm about a month into my first semester at 36. In hindsight it would have been really helpful to study and begin getting familiar with math and chemistry beforehand. Buy some textbooks, watch some youtube videos. Get started early before your classes begin and you will be much better prepared. It seems like the courses move quickly so you want to be ready so you can keep up.
    2
  40071. Consistency is the secret Consistency is the most important thing to achieve everything
    2
  40072. Thanks a lot. Really helped me
    2
  40073. This is great advice. The comparison / metaphor with languages was spot on. When I was young, it was all about grades. I think that is why American students fell behind. It was as much of the communities' problem of aeeign everything as a competition and here in America money as the bottom line. If you did math for fun in the 1970s and 1980s as a middle class child, you were considered socially challenged . Also, for aomeone with ADD or anxiety, there were not a lot of conpensatory aids such as whiteboards, distance learning, and erasable pens. I started my math studies as an adult, and I would use SAS software, whiteboards, and erasable pens to organize myself and keep from being overwhelmed with paper and ink, as well as being dependent on one maybe not so friendly text book. Today, it is better for high school and college students, so your advice is even more important.
    2
  40074. For music it got be death note's music of L Light Near 🤣❤ and congrats on 100k
    2
  40075. Is this a repost or am i having an unusually strong deja Vu?
    2
  40076. Great video
    2
  40077. Kindly review cbse books from india cbse is central board for secondary education
    2
  40078. Newton the second?🤨
    2
  40079. why do I understand this stuff
    2
  40080. You had left out the most important thing above all things which accepting the Lord Jesus Christ without him everything else will fail, life with Christ one way to eternal life👆
    2
  40081. Do a math problem... and anotha one... and anotha one... and anotha one...
    2
  40082. I gave you a like, but the advice of thinking that you should succeed gave me chronic anxiety and eventually depression. I think "never giving up" should also come together with the pressure to succeed.
    2
  40083. Do you play league of legends sir??? If so I bet all of us are wondering if you would play with your fans
    2
  40084. Great thoughts. For complex topics, memorisation leaves the mind fertile for later understanding. Sometimes you have to misunderstand a topic three ways before your mind can triangulate what it's actually about.
    2
  40085. I'm 42. I'm going back to do Civil Engineering after 20 years in Architecture. But Civil and Project Management is where I want to be.
    2
  40086. You always speak the truth.
    2
  40087. Calculus because it’s what lead us to mordern day mathematics. Also, can’t do higher level stats without calc. And, I didn’t find linear algebra to be very helpful, but abstract algebra students says it’s very helpful in that class. My professor for abstract algebra took the geometry approach to teach that class.
    2
  40088. Quite motivational. Very inspired.
    2
  40089. Thank you for giving us the benefit of your powerful expertise, Dr. MS!! :) :) Love this video to bits!! ♥♥
    2
  40090. I've only been able to find a kindle edition of Differential & Integral Calc Phillips. The Integral books is available, but the differential or the combined book are not. I will keep searching. Thanks.
    2
  40091. I wonder if "Tony" wouldn't want the book to reminis. The same thing happened to me for a book I bought but the person died by the time I found hum.
    2
  40092. THANKS DUDE UR GREAT
    2
  40093. Does there exist a website with differential equations so I can train to solve them?
    2
  40094. This is a really good video to post right before the end of the year. Self-study and becoming an autodidact is something I am willing to become next year. Speaking of which, what are you doing for the new year?
    2
  40095. Hi math sorcer. Thank you for talking about this topic .It is really hard to choose a major because life will change a lot in the near future. A rewarding job today can be less important in few years. I think that AI will take over many jobs such as engineering and developing . Today, robots themselves are programming websites and writing books and serving coffee in coffeeshops. Personally, I love math and I want to pick a major that allows me to practice my math-problem solving skills ...I thought about enginnering or data scientist or accountant but my fear is that those jobs will disappear (because of computers) as soon as I graduate haha. From my point of view , I think that healthcare graduate is going to be always in demand ..What do you think guys? Do you feel that AI is limiting our choices? It's threatening⚡
    2
  40096. Ahh and also dont forget to look constantly at the camera while you are doing the exam.
    2
  40097. This one was the Killer 😂😂😂😂
    2
  40098. All those notations!!! I was last night reading on dirac notations, those for ket vector and bra vector. They are beyond me, but someday I will get there. Of ket & bra vectors, I mistook their vertical bar for "such that." Btw, this video is very helpful. This is the level of notations that I am at.
    2
  40099.  @TheMathSorcerer  "It becomes a part of you." This is the phrase I was looking for.
    2
  40100. best
    2
  40101. MS: This one of your BEST videos. Every math person should view this.
    2
  40102. Yes oscar
    2
  40103. Einfach Mashallah!!
    2
  40104. Stochastics is hard too but I think that it would be considered a graduate class.
    2
  40105. Iam Very much interested in mathematics but These books are really very expensive Iam from India (1doller =78 Indian rupees)😭😭😭😭😭
    2
  40106.  @TheMathSorcerer  thanks for your support sir
    2
  40107. The Math Sorcerer thank you! & yeah we learn logarithmic differentiation and inverse trig derivatives in calc I
    2
  40108. The Math Sorcerer if your curious, the textbook we use for the class is “Early Transcendals” by James Stewart (9th Edit)
    2
  40109. Love ur channel man just watching this makes me wanna read hella
    2
  40110. Hi The Math Sorcerer! I am a practicing biologist with some math training - yet never succeeded academically- but I get more and more interested in maths daily. Can I have hope in myself for future, through self practice? My motivation is to apply more mathematical ideas for my profession.
    2
  40111. is it possible to do PhD without masters?
    2
  40112.  @TheMathSorcerer  Can you elaborate the difference between he 2 please and how is it possible to get to PhD without masters(requirements), as for now I'm just a level 2 undergrad. but I really wanna get to that PhD
    2
  40113. He gave the answer in this 2-minute + video. He said to do the Ph.D. since you get funding for it, and if you didn't get it, at least you will end up with a Master's degree.
    2
  40114. Me the night before exam
    2
  40115. My high school teacher taught us the tabular method wrong. We had to redo the section the next day lol. But he hadn’t taught calculus BC for a couple of years, so I guess he forgot.
    2
  40116. I’ve found time and time again that when there’s something I don’t get, or it just won’t stick in my head, I put it away and then come back a few weeks/months later. For some reason it almost ALWAYS clicks in a new way that all of a sudden, I can’t imagine WHY it didn’t make sense to me before. Usually this happens to me with language study, but now that I’m getting into math, I’m curious to see if this happens for tough concepts as well. I sure hope so 😅
    2
  40117. That thumbnail got me thinking it was future “More plates more dates” dude
    2
  40118. And this is one outstanding book.
    2
  40119. Should be "mir" publisher's sorry for the lapse grendel
    2
  40120. im so angry that im graduating with a math bachelor’s in may and my university never offered real analysis in my last few years, so i didn’t get to do it. The same is true for PDEs
    2
  40121. Base of self study is to learn concentration(focus).
    2
  40122. Are you the elder brother of Jeff Bezos?
    2
  40123. Is it true that this series converges conditionally?
    2
  40124. How this can be convergence? Because the limit n->infinity 2n-3/3n+4 has the limit=2/3 which is not equal to 0 doesn't this divergence? Is my assumption right???
    2
  40125. What is the complement of 72
    2
  40126. 18 degrees I think
    2
  40127. Yess it's 18 degree
    2
  40128. This guys looks like a real sorcerer
    2
  40129. Hi Math Sorcerer, what do you think about Biocalculus by Stewart? I'm a doctor, not a Mathematician or Biologist but I want to introduce myself in Calculus. Regards from Bolivia 🇧🇴.
    2
  40130. u look like a cult leader
    2
  40131. alright math sorcerer aficionados, I got news but no one better be snitchin. I have a crush on pokimane, so naturally to get her attention I'm building a life like android out of Michael Reeve's (her friends boyfriend who's into CS and engineering). This thing is gunna have the works. AI synthesized speech. Orifices that can have "objects" inserted. Taser nipples. Taser butt. It's the whole shebang. I need as many apprentice sorcerers as possible to channel their radical vibes to this project so I can pour as much love and soul into it as possible <3
    2
  40132. I think it's be better if we learn with history of mathematics
    2
  40133. He does actually look exactly the same as him
    2
  40134. Hey can you cover the Navier stokes equations that would be really cool ! How about Navier stokes equations in Spherical Coordinates 😀😀
    2
  40135. in theory this channel is awesome in practice it is
    2
  40136. I thought it was abstract algebra
    2
  40137. Thanks !
    2
  40138. Let's see if that failure gets turned into strength today
    2
  40139. The first fifteen chapters of the algebra book by ARCHBOLD are indeed legendary... Also the complete algebra books by Hall and Steevens Hall and Knight may be termed the Bible of shool mayhematics...
    2
  40140. Thankyou sir for inspiring me I almost give up
    2
  40141. Great video.. No one inspires me like you inspire me… I hope someday I get to see you in person.. ♥️♥️❤️❤️
    2
  40142. why do i study maths again
    2
  40143. Leggo
    2
  40144. this guy is the true chad
    2
  40145. Thank you very very much
    2
  40146. older reference books are far better than modern textbooks
    2
  40147. This was the textbook I used in my introductory calculus course in Brooklyn College in 1964. I heard that Thomas had a yacht named “Calculus and Analytic Geometry”. I have no idea whether that’s true.
    2
  40148. Thank you for this!
    2
  40149. Yes
    2
  40150. thank you
    2
  40151. Thank you sooooooooo much for your video You saved my life
    2
  40152. With how you're moving your hands around a lot while talking I feel like I'm learning from a physics professor not a mathematics professor. I'm not sure how to explain this.
    2
  40153. “It was my understanding there would be no math” Chevy Chase and every person who has graduated from college and never had to use complex math again, lol I don’t even know why I watched this video but I was intrigued by your love of math. Also I recently studied base 12 math just out of curiosity. I am weak in mathematics but was told I would be a suitable visual mathematician. Wth is that, patterns? It must be related because I’m really good at that.
    2
  40154. it's helpfull man, thx
    2
  40155. Pre calc by julie Miller is another good book
    2
  40156. Where can I find solutions for those exercises?,I can't find anything?
    2
  40157. Math is our love
    2
  40158. When you said "i wonder how many courses.." I think you missed a lesson: separating this into a bunch of prep courses is silly, you should study the whole problem from top to bottom, and learn the details as they become necessary.
    2
  40159. Good stuff, thanks
    2
  40160. I had this guy in college classes.
    2
  40161. :)
    2
  40162.  @TheMathSorcerer  I will drop by you often. I'll expect another round of laughters. Decided to be your new Youtube friend. Let's keep in touch.
    2
  40163. Laborum præmia, from an older sentence fragment, [Divitiae, gloria], honores præmia laborum sunt, meaning “[Riches, glory], honors are the rewards of my labor.“ This was a common epithet once applied to any author´s labor of love. I was involved in the development of the publishing meta-languages nroff and troff (which later became TEX, which I had nothing to do with) in the late 1980s and 1990s -- can you imagine how authoring and publishing a mathematical text was different in times past? Nowadays, authors, who are themselves not necessarily computer literate, can submit “typesetter-ready copy“ to publishers! Ah, progress! All “previous editions“ of books published from the early 20th centuries (and before) are beautiful; it´s their common ubiquity that has caused the modern editions to be so, uh, pedestrian. Ah, the good and the bad....
    2
  40164.  @TheMathSorcerer  please do a walkthrough video where you show how to use bookfinder.com.
    2
  40165. How much credit did they get just for sketching the correct graph? Or, was it all or nothing? (:
    2
  40166. Shout out to the great math wizard. The speaking score especially have to be high in these English proficiency tests, if you want to be considered for for TA opportunities. Also GRE subject can immensely increase your chances. Good luck to all of my math people
    2
  40167. nice content
    2
  40168. Remember that...from math.
    2
  40169. Real engineers use pen because people who understand maths use the white board. Lol😂 /j
    2
  40170. Thanks for the upload!
    2
  40171. Thank you❤️
    2
  40172. You should also do a layout of what are the more crucial concepts to learn from the books you review. The issue I run into self learning is that most material is dense and classes are designed to show you what are the important take aways. Like creating a tier list of ideas from each book. Giving some structure would be extremely helpful for us autodidactic people.
    2
  40173. the goat
    2
  40174. Great video!
    2
  40175. I don't understand how people don't note everything! lol Edit: I'm curious if you have his notes still, he sounds brilliant
    2
  40176. Good
    2
  40177. Will this help me pick up chicks?
    2
  40178. Your thumbnails keep getting better! Keep up the good work!
    2
  40179. or better yet never study maths...
    2
  40180. Tysm
    2
  40181. tq for nailing things out, got so much clearer now
    2
  40182. MathS
    2
  40183. Did you go to Berkeley? Your description of that discrete math class makes me think of CS 70.
    2
  40184. With all the respect I must ask, dude.. are you Jeff Bezos hidden behind a wig ? just kidding, great video!!!
    2
  40185. Thank you
    2
  40186. this
    2
  40187. awesome!!
    2
  40188. At a weird point in high school taking stats, linear algebra, and differential equations at the same time. Like many said, this couldn't have been timed better, thanks.
    2
  40189.  @fudgefactor1639  Stocking up on Princeton Review 💪
    2
  40190. This is cool. LOVE the red Algebra book on the bottom. That topology book looks like it should be nicknamed...the iron maiden
    2
  40191. Hello there, I would like to ask what app/program you use to write the content of the video on.
    2
  40192. If you have a chance to go while you are young please don't waste time. However the professor here is absolutely correct. Your challenge will be different, and the biggest one will be learning how to rest in the midst of all of the demands. We fatigue differently than the younger students and resiliency takes longer. You will have a variety of professors, some will be interested in educating the students and others will be more interested in rigor because that's the way they came up. Try to function and not labor. If you're not rested you will be battling your fatigue as well as the subjectmatter. I am a Physics major at 60. Go! Live YOUR dream. Don't be a prisoner of expectation.
    2
  40193. Good work, i like ur review series
    2
  40194. Hearing you got a B in physics made me feel better about my B in physics 1.
    2
  40195. If this is a book that contained a dust jacket it is possible someone tried to ensure it stays on by using staples or something similar.
    2
  40196. I can sort of understand your shirt. It says "i 8 sigma pi". Lol I got a giggle out of it but not sure if that's right
    2
  40197. hey man what book do you recommend for abstract algebra? Looking for one that is easy to read
    2
  40198. I clearly don't have all four of the traits... While listening, I got through three, but then started thinking about my wife. lol.
    2
  40199. One of these books is not like the others
    2
  40200. Joo thanks Bezos
    2
  40201. Speed is important Me: Watches video , 1:75 playback speed
    2
  40202. You are a great mentor! I am so glad I found your channel! Please keep sharing your knowledge ^^
    2
  40203. Great review! Going to be my next purchase! :_math:
    2
  40204. This is really what I needed right now!
    2
  40205. Sometimes after your recommend a book I notice that the number of available copies drops quickly. I have had orders I placed canceled by the seller because somebody else got their order in first.
    2
  40206. chocolate helps in my opinion. whenever i do math chocolate always keeps me going and i feel like i understand more or i just have a choc addiction but who cares
    2
  40207. 😨
    2
  40208.  @TheMathSorcerer  Yeah.
    2
  40209.  @TheMathSorcerer  Thanks!
    2
  40210. The Book I used in the late 70s to learn Calculus was Calculus and Analytic Geometry by Thomas, the 4th edition. Here it is on ebay: https://www.ebay.com/itm/193756099837?ssPageName=STRK%3AMEBIDX%3AIT&fromMakeTrack=true I remember it was well written but a lot more formal than current Calculus textbooks, but my professor was so good all I needed it for was to do the problems. It also had great diagrams which are important. I never took notes in class, just absorbed it all, went home and did the homework. Even my Differential Equations book was pretty formal 1977 circa Burgundy book by Boyce and DiPrima, I had to spend some time reading it in addition to homework problems.
    2
  40211. is every abelian a cyclic group?
    2
  40212. We had a professor who was unafraid to say these things in Physics. He gave everyone who passed an A. Then he got fired :'(
    2
  40213. Absolute baller professor. Wish I had this guy
    2
  40214. Great advice! Would you be able to make a video on how to effectively use a math textbook? I find that most are wordy and I am not sure how to separate the most important from the least important. Also, how should we read a textbook in the fastest, most effective way?
    2
  40215. My soul doesn't like being stared into. Nice video btw, thanks.
    2
  40216. Missed some cuts at the beginning of #10 but great video. Same things we all tell our students, but only the best end up following all of these tips
    2
  40217. LOL, I’m very similar to you in that regard. I do have certain preferences, but I could enjoy a discussion in almost any academic topic.
    2
  40218. I need a video like this for Discrete Math.
    2
  40219. Great sir 😊
    2
  40220. Son los padres de la informática moderna https://youtu.be/fL2QwyxcJ5s
    2
  40221. Love your videos!
    2
  40222. Thank you! I will look for it! 📚📚📚🏆🌟🥇📚📚📚
    2
  40223. For some reason, I was anticipating that after thinking he was a genius and studying Topology, he'd failed his next test. Then his whole ego goes crashing down. "Maybe I'm not a math genius after all." Though that would be contradictory to the title of this video..
    2
  40224. Because most "motivational" videos drown in dumb, sentimental background music that's really just noise
    2
  40225. Thanks for all of your advice. It actually helps in other areas also. I wanted to ask your advice on a related issue. My kid is in 6th grade and she is having trouble with math. They are doing that computer program ALEKS. I am from the book generation where we had to memorize formulas etc. I wanted to ask if there is a book(s) for math that is currently used for grade school students which I could use to help my kid. Thanks ! .
    2
  40226. How are you sir?
    2
  40227. Thank you, Professor!
    2
  40228. Hi! Great channel, I use your advices regarding books to read and I would like to reccomend this one for review: Vector Calculus, Linear Algebra, And Differential Forms A Unified Approach by John Hamal Hubbard and Barbara Burke Hubbard. Cheers
    2
  40229. Wowza
    2
  40230. I was asking myself why he dsnt blink then he blinked.....lol
    2
  40231. 1:09 my chemistry teacher said that.
    2
  40232. and just like a language, you lose what you don't use! :C
    2
  40233. EARLY
    2
  40234. love u
    2
  40235. Great videos...can you more books about Scheme programming language?
    2
  40236. VERY GOOD REVIEW
    2
  40237. Thank you
    2
  40238. Thanks!
    2
  40239. I’m doing some mathematics. Thanks!
    2
  40240. Excellent lecture sir! From Pakistan
    2
  40241. the ending was such a twist when he took the rocket back! HAHAHAHAAHAHAHAHAHAHAHA
    2
  40242. Really useful and motivating video. Thanks very much!
    2
  40243. FIrst
    2
  40244. Amazing.
    2
  40245. Sometimes the answers to the exercises are less important than the methods of obtaining those answers. In this case, the solutions to each exercise would become too large to publish. You would need an answer book, as there is in some cases. Thanks for the video.
    2
  40246. Thanks, that was VERY helpful!!
    2
  40247. MATH SPEEDRUN!!!!
    2
  40248. 1st
    2
  40249. I agree with most of what you said, but the 10 minutes is unrealistic unless you’re doing very basic math such as addition, subtraction, multiplication or division. A more realistic approach might be doing 1 problem a day regardless of how long it takes you and if you are gaining success in solving different problems you will gain confidence and momentum to want to do more. I agree that the consistency is key but 10 minutes is just not enough time.
    2
  40250.  @TheMathSorcerer  cuz like this video really do be scaring me and I’m just in A levels rn. ☠️
    2
  40251. Man, the comments section in this channel is just as informative as the videos themselves. Love y'all
    2
  40252. this actually scares me ... always had been bad at math
    2
  40253. You look like Isaac Newton by appareance
    2
  40254. i have 1888 algebra book😅
    2
  40255. This is awesome. Thanks for the Trig textbook recommendation. Do you plan on doing a video like this on geometry? I took pre-calc and I would love to dive deeper into Trig and Geometry. I feel like I missed so many good tidbits that would be helpful in Calculus courses.
    2
  40256. I knew I'll be caught victim of this video like replying to text messages when I'm studying i love ya video thank u mehn
    2
  40257. Thanks for sharing 🙏
    2
  40258. 👍
    2
  40259. When i read algebra it gives to my mind discrete with it combinatorics and graphs. When i start with discrete i remind analysis and its diff integrals, banach spaces.....In very pure of Arnaudies, Serge ,, chilov or all pactical pragmatic books of russians from Piskounov, Smirnov, Bourgov and all...ov....... If only i was able to read & understand the 9 tomes Analysis of the great mathematician Dieudonné So i run away to topology to understand best continuous and diffeomorphism so this open sets tell me why do not go category theory ohhh no no! It make me fall: icannot and i rebonine to Algebra Serge, Algebra Godement, Algebra Tauvel, Algebra Bourbaki......Why not trying kenneth..... Keneth: i cannot even read one page.Maths kenneth is a suurreal transcendant math for me Than i feel need a bit of Calculus so Cauchy, Apostol, Thomas, Steward..... After yes i must review a bit my geometry ooof how?let's try : first Dieudonné in his rigourous axomatic elementary geometry identified to linear algebra where it's forbidden to draw a figure later why not Coxexter in his wondrtfuuuuul book "geometry revisited" but a few day later i remember my favorite scientific American vulgarisation and go to read Ian stewart ooh very magnific and suddenly i view Martin Gardner. ouuuf even in game i must read math..... sometimes i forget all this worry best maths...
    2
  40260. Dude, you looked great with a beard, please don't shave it off. Go Heisenberg style pls.
    2
  40261. Sou um médico formado há 5 anos mas que tenho grande vontade de estudar matemática. Um dia conseguirei!
    2
  40262. Extremely important: often you're procrastinating and not fulfilling your recreational needs. Playing video games or watching a movie will make you feel bad because you are dedicated to something not related to your work, but you can pull out your phone after every question and not feel that bad about it, this needs to be stopped. Ask yourself, what was the last time you have done an activity, or did something dedicated to fun? Do something actually fun, instead of wasting your time on smaller rewards, its better for your mental health and for your goals!
    2
  40263. thank you
    2
  40264. nice explanation thank you very much sir.....otherwise i thought that things are too hard but with your explanation and examples its made it easy.
    2
  40265. Well, I forgot that one I guess 😂. Thanks for that reminder! 👍
    2
  40266. This totally helped, thank you!
    2
  40267. Are these books expensive?
    2
  40268. thanks! it is really helpful and clear💕
    2
  40269. 👍👍
    2
  40270. Loving this, your narrating is great!
    2
  40271. No answers? BIG FAIL!
    2
  40272. I used Schaum's Linear algebra and Strang's Linear And its Applications when I did a Mathematics Degree in the UK in the 1980s. I've forgotten it all though now.
    2
  40273. Great advice
    2
  40274. Topology was the hardest in my opinion
    2
  40275. nice way to see all the titles of the books. (just have to make sure the center of mass of the column of books is somewhere near the bottom, i.e. the girthy books belong near the bottom)
    2
  40276. "i will show you"- shows book stockpile
    2
  40277. Absolute truth. The power of believing in yourself is a great concept yet to explore by research.
    2
  40278. WOW! i love your videos!!! <3
    2
  40279.  @TheMathSorcerer  You're the best!
    2
  40280. I was always tempted to answer proof questions with "this is left as an exercise for the examiner", just to get one back.
    2
  40281. Nice book for beginners:)
    2
  40282. That which you fought hardest for is always the most valuable
    2
  40283. 😂,,,😂❤
    2
  40284. Thank you so much Imma subscribe noooow
    2
  40285. the only way this video could be better is if there's a drawing on the side
    2
  40286. Hello sir! Is this book available in pdf form?
    2
  40287. Not difficult
    2
  40288. This is such fabulous advise.
    2
  40289. How to integrate: Step 1, give up and then cry Step 2, use wolframalpha Step 3, watch this video Step 4, done Well presented!
    2
  40290. Would these books work for non-mathematics that want to learn maths? I'm a science high school teacher with a degree in microbiology. But I'm interested in learning mathematics.
    2
  40291. Not the first comment
    2
  40292. Thank you so much sir! I'm definitely going to improve now!!
    2
  40293. 0:45 math asmr
    2
  40294. Thank you very much sir!!
    2
  40295. Appreciated!!!
    2
  40296. Thanks
    2
  40297. I'll be back here at MAY to review myself before choosing STEM TRACK in Senior Year
    2
  40298. nice ty
    2
  40299. Thank you sir
    2
  40300. I just found your channel and I was hoping you could make a video about the proper way to work through a math text? I'm used to watching videos and coming to conclusions that way. Would love your advice about how to properly work through a text book! thanks!
    2
  40301. Seems to me I read one of Roger Penrose's book that mentioned it.
    2
  40302. good video
    2
  40303. Thank you Sir for motivating the young students
    2
  40304. No mention of number theory? Or would that appear in these books somewhere?
    2
  40305. Interesante libro, y tiene código en LISP. Existen intérpretes de LISP en línea, se puede aprovechar muy el código del libro.
    2
  40306. Your videos are great!!
    2
  40307. Hogs are thick, but books are voluminous.
    2
  40308. ❤️
    2
  40309. Hard to hear you.
    2
  40310. But I always force students to show their work.
    2
  40311. I don't think advanced cal is the hardest boss, Topology is spanking me so hard right now.
    2
  40312. congrats for your 100k !
    2
  40313. I always do math first thing in the morning
    2
  40314. thank you
    2
  40315. When I studied physics some of those functions showed up(gamma, bessel etc.)
    2
  40316. I wish I own all these abstract algebra books. ha. I can't wait to see the reviews of these books.
    2
  40317. Great video!! 👍👍 Also, do you think discrete math by rosen is a good book to start learning discrete math? Thanks
    2
  40318.  @TheMathSorcerer  Thank you! You are probably the most responsive person here on youtube!!
    2
  40319. I don't know how many other people are curious about those books behind you... I think you may dedicate some videos guiding us in a tour in your library, it doesn't have to be reviewing every book, but like telling some personal feelings about each one.. 😊
    2
  40320. thanks sir
    2
  40321. I like the formal way you solved it, but what do you think about my method of solving it? I see Sin(x) bounded as you said which means it can produce numbers from -1 to 1 only, this means any numbers in this intervral if divided by infinity will produce Zero.
    2
  40322. I know the video is old but...wow...I remember some of these books. I think I'm going to hunt down a few of these if they're still publishing. JSUMS
    2
  40323. Short term, study and memorize the trigonometric identities, and learn how to manipulate them. That will save some time.
    2
  40324. Bro attempt jee advance paper ..it is india's engineering entrance exam
    2
  40325. Great video Sir! Greetings!
    2
  40326. This is actually pretty fun. I'm thinking of becoming a math teacher in the future
    2
  40327. I'm just sad that I've never had a good math professor in my life
    2
  40328. Oh gosh I did graduate in civil engineering course and now I am vomiting in a lot of formulas (joke) .So when ever I see a lot of books in mathematics my head hurt.
    2
  40329. Thank u.. Ur vdo helps me a lot.. And Please keep continuing to upload such kind of proofs and solutions.. Mainly from the Real analysis
    2
  40330. This video is so much more helpful than my professor
    2
  40331. Thank you
    2
  40332. He really did👊😍.. Thank You so much
    2
  40333. Trying to see how I can dedicate time for my online classes because of how different it is to learn in person than online.
    2
  40334. Can u do more questions on induction..plz..😊😊
    2
  40335. Very funny lol
    2
  40336. Thanks for that sir, needed to hear that.
    2
  40337. I have that forget what I don't use, one of the ways I try to keep from being to rusty is give myself bizarre possible scenarios. Be creative, it doesn't matter if the number of people who put pineapple on pizza affects the population, you can make a differential exercise by pretending it does. Have fun.
    2
  40338. Can you suggest a book for linear algebra
    2
  40339.  @TheMathSorcerer  thank you so much
    2
  40340. It was real analysis for me 😂😂😂
    2
  40341. Great man!
    2
  40342. Cool 🍺🍺🍻.
    2
  40343. I'm here doing that instead of completing my Probability Homework early!
    2
  40344. Beautiful
    2
  40345. I like the new math wizard intro :)
    2
  40346. Trig Integrals >:(
    2
  40347. Thank you very much!
    2
  40348. I started learning derivatives of log functions today so this was very helpful! Thanks!
    2
  40349. How do I get to level 5,6 an 7 ; Math Sorcerer, Math Genius and Math God respectively.
    2
  40350. I once had a professor dork lol
    2
  40351. hippie jeff bezos
    2
  40352. For me, it’s the humbling, challenging, and ultimately rewarding experience that drives me to learn more and more mathematics. The discipline element too. Well done!
    2
  40353. I watched this video, but I'm not currently taking any classes. My aim is to learn, even if every school is out of my reach. Math is hard, but not as hard as getting into math classes.
    2
  40354. A modern Approach to regression with R by Sheather is a very good book on regression. It has (as the title suggest) a very applied approach, but also has some solid theory in it aswell.
    2
  40355. I really enjoy your videos - comedy, inspiration, and pure math! I use them for inspiration in my own math career, and send them to my friends who are earlier on in the undergrad math/STEM sequence
    2
  40356. I am in physics honors and have to do math more than physics.
    2
  40357. At the age of 60 I decided to learn chess and after a couple of months got an ELO of 1600. Ten years and hundreds of chess puzzles later I'm still 1600. There are very real limits to our ability to think abstractly and learn complicated strategies or algorithms.
    2
  40358. Math is a discipline of learning, if it's not the art of learning. Why? The core cognitive requirement is understanding not routine. Understanding necessitates ability to develop a self-taught capacity of breaking down various possible relationships between different math entities. With sustained attention, patterns will pop up, perspectives will flow, and ideas will follow. It's really hard at the beginning to reach this level, but once the habit is acquired with time and perseverance, you become a math guru. And your appetite of learning any math topics increases. So learning for teaching is definitely a central key for being good at math.
    2
  40359. Tnks bro
    2
  40360. Stop trying to understand…proceeds to explain some stuff.
    2
  40361. I do all these things naturally to the T . What he is saying I feel like I need to hear again so I know I’m doing a good job. Thanks for the confidence man!
    2
  40362. He said "some of my math book" 🥶🤯
    2
  40363. 4:50 Yes, that's how you say it, Thevinin's (Theh' Vin Inz) Theorem, about resistance is just that "R(th) is the total resistance appearing between two terminals in a given circuit with all sources replaced by their internal resistances." It's an measure of the entire resistance of the circuit as "seen" from the battery. (quote from Electric Circuits (electron flow version) by Floyd, 1st edition, p229)
    2
  40364. That's exactly what happened for me during last exam and I failed because of this silly lockdown browser
    2
  40365. According to Wikipedia Infinitesimal Calculus was published in 1879. Therefore your copy of 1881 should be the very first edition. You are w right when you said that comparing the current books the structure is quite different. For example, Courant coming frrom Gottingen (the main school of math) published in 1936 (and later in New York, in 1965 starts with functions, the standard current beginning of any calculus book. You find in Internet because Google included in the selected books worth to consider it.
    2
  40366. This is really helpfull...❤️
    2
  40367. Yes it is really true
    2
  40368. That was really a good video.
    2
  40369. Must be the hair
    2
  40370. Exposure
    2
  40371. Thank you, that's what I've been looking for. I hope I will be able to overcome language barrier.
    2
  40372. Saved me from a potentially years-long headache
    2
  40373. You are the best!
    2
  40374. i have this book and my cover is upside down
    2
  40375. Reading all of these comments I'm sitting here thinking: "That's one of the draws of homeschooling."
    2
  40376. Your are great Professor ! I am your Fan from Kingdom of Morocco .You have a good new look .keep doing !
    2
  40377. Sheesh, he plays league, that is something we have in common
    2
  40378.  @TheMathSorcerer  wow, I didn't expect that reply, well, I agree with you that Ramanujan is more "interest" but still think the achievments of Hardy is greater, I think that's obvious, because Ramanujan was is a poorer background and also lived a short life, if he lived more 20 years maybe he will be one of the greatests, but live isn't fair, he didn't live long, like Abel.
    2
  40379.  @TheNachoesuncapo  🤐
    2
  40380.  @TheNachoesuncapo  🤐
    2
  40381. So cooooolllllllll.........it's actually a delite watching ur vedios....
    2
  40382. Damn u look good asl with that new style! Good on ya man
    2
  40383. Plzz reply sir 🙏🏻
    2
  40384. Excellent advice. I'm a first year PhD student. No regrets.
    2
  40385. Brother please look after my suggestion to make a video on srinivasa ramanujan notebooks
    2
  40386. Ok take your time thank you for giving me a reply👍👍❤️❤️
    2
  40387. I thought all the time that you would say probability and combinatorics
    2
  40388. Thank you for this video.
    2
  40389. 0:29 Isn't it a bit ironic that librarians (!) damage books with their very-permanent stickers, their endless stamps on every possible surface (including all possible sides), their subsequent crude vandalism with a black felt pen to disfigure their previous stamps and stickers. If they believe that they're helping to preserve human knowledge, they should stop. They're worse than the Huns in terms of massive damage to previously lovely books. They're damaging many tens of millions of book per year.
    2
  40390. Shipping costs to South Africa are a pain (as well as our postal service).
    2
  40391. Been there. Great insights.
    2
  40392. if Jeff Bezos had hairs
    2
  40393. Nice
    2
  40394. le me at the age of 99 : Now is the time
    2
  40395. Thank you 😊
    2
  40396. 4:28 i agree with that, atleast that's what i told my students
    2
  40397. Me: Learn mathematics from start to give up.
    2
  40398. Another great find…ordering this book as well. I watch a topic each day on this site.
    2
  40399. real talk from the math sorcerer!
    2
  40400. I want to add a book to your list please. It is: "Compilers. Principles, Techniques, and Tools" by Alfred V.Aho / Ravi Sethi / Jeffrey D. Ullman [this is the red dragon book for those that are familiar]
    2
  40401. nice
    2
  40402. Guess I know what do to in 2021
    2
  40403. very helpful
    2
  40404. Thank you !! Cheers
    2
  40405. Awesome. It helped me refresh Reiman integration.
    2
  40406. There are probably many variables but I think the most significant variable is exposure, whether direct or indirect. I don't know if any human being can just get something the first time they've ever been exposed to something. No one inherently knows fire burns you when you touch it 😂. I struggled significantly with Calc II. On the other hand, I had people telling me that I'm just smarter than them because the concepts in my programming class and my sociology class came much quicker for me. The reason why those classes were such a different experience for me was because I was already exposed to many of the concepts in my sociology class indirectly (reading the work of philosophers and political thinkers), and I was exposed to most of the concepts in my programming class directly through self-study in my free-time. I never had to study for my sociology or OOP class. I'd just review notes an hour before a test. On the other hand, I spend a ridiculous amount of time on classes like calculus, linear algebra, probability, etc. Discrete math is a little easier than Linear Algebra for some reason, even though I feel like it should be the opposite. I'd guess it's probably due to indirect exposure. I walked into calc II with no concept of the dish/washer method or integration techniques 😂. Where I messed up is the fact that I didn't prepare myself ahead of time for the course, even though I kept hearing how difficult it is. All that I knew was the basic integration taught in calc I, and calc I was foreign to me. It's like picking up an instrument. Let's say piano. Isn't the person with guitar experience is more likely to pick up the piano faster and more efficiently than the person with no musical experience whatsoever? I think that's how it is for child prodigies. Child prodigies might be exposed to things much earlier than people in their age group. For example, a kid programming at 12? I didn't get my own laptop until I was 21 😂. It seems we're all running on different time, to some degree. Who knows what intelligence is; it plays a role in some way, but I think direct and indirect exposure are extremely significant.
    2
  40407. 1:51 "media offline" jaja
    2
  40408. Thanku
    2
  40409. This video is so amazing! I'm in my 3rd year of an Applied Maths & Computer Science degree and I have a Numerical Analysis module. This subject is quite daunting as it feels the more I read or learn, the less I know. Any advice?
    2
  40410. Thnk u so much ❤️
    2
  40411. When you forget the formula during the test, so you rewrite the proof to get the formula. Did this with the derivative of Sec(x) on my calc 1 final.
    2
  40412. The regal music is befitting 😅
    2
  40413. indeed , thanks for the video proffessor , hope u can help us with analysis 1 course really soon
    2
  40414. Very well said
    2
  40415. You forgot the "If you want to succeed in this class, you have to buy my $600 book - Simple Calculus 9th edition - that I just released yesterday. Don't get the 8th edition from last month, it's already obsolete. If you buy any other book, you have already failed the class. Also, to do and pass in your assignments, you'll have to sign up to my online resource for only $200 per year.. Oh, what's that, little Timmy? We only have classes for 3 months? Well, I'll let you figure that one out." PS: I'm exaggerating here for comedic effect, please don't take it too seriously.
    2
  40416. Hi Math Sorcerer, thanks a million for these videos. I'm writing from Nigeria. I just stumbled on your videos when looking for mathematics videos to help me prepare for grad school in economics. I already have three books to prepare, but have been finding them difficult to read and so I started looking for videos to increase my understanding and pace. I have Mathematics for Economists by Simon and Blume, Further mathematics for economic analysis by Hammond et al., and Mathematics for Economics by Hoy et al. I see your focus is not on economics applications, but I find your videos very interesting and so I will try and get the most from the relevant videos. I seem not to be able to find the playlist for full lectures on Calculus 2. Please where can I find them? I hope to start looking at your proofs videos because I have never done proofs before and I need to master proof techniques asap. Thanks once again and all the best
    2
  40417.  @TheMathSorcerer  Hope you can take a look at more economics applications and math topics used more in economic theory in the near future
    2
  40418. Reading the title I though you're going to prove x^2+x is an even fuction and I were like how is that possible. 😅
    2
  40419. great motivating video
    2
  40420. "It's a conceptual move, not an algebraic one..." X^D
    2
  40421. Gracias por lo ánimos, saludos!!.
    2
  40422. "This Is A Legendary Book.... And It Just Gets Worse And Worse And Worse..." 02:19 😂
    2
  40423. This is GREAT ... I always like the introductions to your library ... this one is no exception. This always inspires me to secure more books ... Thank You !!
    2
  40424. Thanks for making this, lol
    2
  40425. Life is overrated . Math is anything and everything . To think otherwise is asymptotic!
    2
  40426. Rock On!
    2
  40427. Yep, I love this book too
    2
  40428. Yes
    2
  40429. Have you solved all of the examples?
    2
  40430. outstanding!
    2
  40431. I relate so much !
    2
  40432. The Math Sorcerer he was my great great great grandma’s cousin -math genius with hat
    2
  40433. for which class or course these are for?
    2
  40434. I love math ❤️
    2
  40435. u the best man <3
    2
  40436. Thank you so much, sir. I really need this right now. :))
    2
  40437. Make a study schedule and stick to it. Can you magically produce a video (or series) on math study skills? It’s one thing to say read a math book, it’s another to demonstrate it (as an example). My high school math teacher used to say it’s not like reading a novel. OK, then how is it done? You could do something like your book reviews. Instead of going over the contents, you could show how to read, take notes, and work through problems. When the answers are not in the book, how do you know you did it correctly? Or not... 🧮
    2
  40438. >Breath and death. Usually its breath or death. But if the room is filled with poison gas, then that makes sense.
    2
  40439. Thanks Math Sorcerer its really encouraging! Can you please consider making a video on like What makes math people (especially in pure maths) going? As undoubtedly its not easy as major but being judged by practical standards, questions are always about the value!
    2
  40440. Good day Sir, can you take a look on OpenStax Free Mathematics books? They are legit free to view AND legally downloadable in PDF format. Paperbacks are also available. Would like to hear your opinion
    2
  40441. Sensei your book collection is like a zen garden, peacefully quite and equal parts awesome! Namaste.🥷🥷.
    2
  40442. I own a copy of "Tenth Edition (with index)" from 1952. Note the publication history in my copy. It indicates there were 10 editions 1908 to 1952, and add to that 3 reprints of edition 9, which was published 1944. Close to every 3.5 years, an edition or reprint. The popularity of the book hints at its value.
    2
  40443. Would be helpful if you provide video sources in a similar way which teaches math start to finish
    2
  40444.  @TheMathSorcerer  Would be great to get a shout out in the next video for this idea :P
    2
  40445. Doesn't the "plug-it-in" test fail if f is not continuous at a?
    2
  40446. Obviously in this case it is continuous
    2
  40447. Can you do a math overview video? Just the essence what the different topics are about and how they are related, like mind map like
    2
  40448. parametric equations is the mud I'm stuck in now but calc2 is beautiful especially infinite series, calc 3 will be easy if you manage calc 2
    2
  40449. How do i lesrn to prove set theory? Do i have to memorize some steps? Would like to hear your experience
    2
  40450. ‘Vegetate’ 😂😂
    2
  40451. My topology professor used that book for teaching us! :)
    2
  40452. amazing, I needed that
    2
  40453. my man out here saving lives 😭😭
    2
  40454. God bless you Math Sorcerer!
    2
  40455. "Its a conceptual move, not an algebraic one"
    2
  40456. natty or not
    2
  40457. Thoughts about E O Thorp? Ben Graham?
    2
  40458. OMG I'm dead. This is so funny!!
    2
  40459. useful video, but the voice is very low.
    2
  40460. Amazing video, thank you for being a part of history!!
    2
  40461. Where did you get the background music , sir?
    2
  40462. exact question i had trouble with thanks😅😅
    2
  40463. Is there a huge difference between the editions in some of these books generally speaking? Large question I know but I don't want to miss out on anything!
    2
  40464. I love your videos 👍🏽
    2
  40465. Thanks for your quick reply. Frankly I was a little astounded you replied at all(!) Indeed the shipping costs will be the bottleneck here. It did set me on a path though looking for second-hand books here in Holland, a lot of teaching here at college level occurs in English, so there must be a lot of material out here. Thanks again. Sincerely, Jurgen
    2
  40466. This is good.
    2
  40467. You live up to your name. Thank you
    2
  40468. Microwave oven timers are great too.
    2
  40469. don't wanna
    2
  40470. This seems super common, hopefully that Coronavirus is a worldwide dip in exam scores, and so by comparison we didn't fail that much
    2
  40471. I'm laughing I love this
    2
  40472. This is what I do
    2
  40473.  @TheMathSorcerer  i collect physics and programming booms related to career ; same for math. I just stick to applied math and real analysis made me realise i should not pursue a masters in math since i dont like pure math all that much. I am pursuing a masters in applied physics.
    2
  40474. Thank you!
    2
  40475. Any opinion on Tom Apostol "Mathematical Analysis"?
    2
  40476. ty
    2
  40477. I'm only in calculus II and I thought that was but, also I hate that this man writes better with how he holds that marker than when I fully concentrate on writing something.
    2
  40478. This is pure witchcraft.
    2
  40479. This was funny and terrifying at the same time
    2
  40480.  @alexandertownsend3291  Thanks! Appreciate it
    2
  40481. cant believe i was struggling and it was this easy lol
    2
  40482. You look great! That’s awesome 👏
    2
  40483. First 🦋
    2
  40484. You are the goat. Subbed because you called the expression at 7:42 an immense creature. lol
    2
  40485. Here I thought this would be about zero knowledge proofs
    2
  40486. This was a lot of help!
    2
  40487. considering the valuable information you keep giving us i can only conclude this channel is seriously underrated
    2
  40488. The Math Sorcerer Analysis with Introduction to Proof by Steven R. Lay. His brother David wrote the Linear Algebra text we use at NOVA. Their father was also a famous mathematician.
    2
  40489. Oh god this thumbnail like he's gonna eat my flesh XD
    2
  40490.  @TheMathSorcerer  haha glad I did so 😂♥️
    2
  40491. Instrumental trance works for me, oddly enough. Great video, cheers 👍🏻
    2
  40492. I'm gonna be the very best like no one ever was
    2
  40493. Great video
    2
  40494. cool
    2
  40495. Yes...🥺😰🥺😰...a lot of....😱😱😱
    2
  40496. P-chem. Physical Chemistry was by far my hardest Calculus class. Thirteen page integrals, ugh.
    2
  40497. Your god of math
    2
  40498. I really wish you posted some properly hard or challenging problems once in a while, you rock !
    2
  40499. I already do this, and no one had to tell me to do it. I feel like people who have to be told to do this (studying maths in their free time for fun/ out of interest), don't have a natural tendency towards doing it, and so won't stick to it, because they don't love maths.
    2
  40500. Gracias amigo!
    2
  40501. from Morocco thank you very much for those advices...and thanks all youtube Mathlovers who give us all these materials...i m an old man loving Maths to death but in my youth we had not such blessing ressourves so i missed my way to get in MATHEMATICS....i m at its shores at it low edge meditating sad and hopless
    2
  40502. thanks
    2
  40503. thx from PMR
    2
  40504. Most importantly remove drugs from your life. Alcohool is a neurotoxin. Moderation is key
    2
  40505. Thank u sir
    2
  40506. wow thank u sir😯😯😯
    2
  40507. 😂😂😂😂
    2
  40508. This video made me want to buy math books
    2
  40509. God bless you Math Sorcerer
    2
  40510. Jeff Bezos sells us his math program
    2
  40511. thank you
    2
  40512. good video doe
    2
  40513. Thank you can you do the proof of infinite primes? If you havent already
    2
  40514. Thanks man
    2
  40515. Can you make a video on group actions?
    2
  40516. Looks like he’s high on math.
    2
  40517. Excelent's tools
    2
  40518. Everyone can start from nowhere to the topmost peak in every field only requires is time. Life is short we can't achieve anything books are limitless while time is in seconds are countless of a lifetime. All these books you have shown us could be very helpful but it will take gallons of energy to get all the knowledge and after all, it will vanish when you don't try
    2
  40519. I LOVE YOUR CHANNEL!!!!!!!!!
    2
  40520. Very helpful and fun. Thank you!
    2
  40521. Thanks 👨‍🏫
    2
  40522. I wish I had found your channel sooner. Excellent stuff.
    2
  40523. You sir are one hell of a cool guy.
    2
  40524. Can you tack one topic like create play list for beginners those love to learn math
    2
  40525. How did he submit a paper test for an online class?
    2
  40526. Getting caught up with PhD stuff and trying to understand what measure theory is. Maybe make a series on measure theory??
    2
  40527. Thank you, that was spot on.
    2
  40528. Do you suggest a particular version or edition of the text? I'm planning on picking it up and want to optimize my purchase!
    2
  40529. Could you perhaps publish a list somewhere of Dover math books that are regarded as the best/most helpful? I have gotten one on ODEs and one on PDEs and both seem promising, but mulled through a lot of random comment threads in google results to make a decision on them. (lost access to old DE book online, and need to learn some about PDEs and numerical methods on my own for a CFD intro class) There's some others I've added to my amazon cart that look like they could be useful in the near future, but it's hard to ascertain what level they're starting at or how quality the content is before ordering. Sorry for the long request; thank you! Love the book review videos!
    2
  40530. thank you very much!
    2
  40531. Not extreme at all, just necessary. I don’t agree with studying in the bed though. I think, and have heard at many sources, that the bed should be reserved for sleeping only. It helps you get better sleep. A good list nonetheless.
    2
  40532. Thanks
    2
  40533. When I was in primary school, they didn't segregate subject yet. So, you had two parts. Morning and afternoon. Both 4 hours sitting. The exam was a booklet with seemingly random texts, various figures and then a list of questions. You had to use knowledge spanning multiple subjects just to solve some items. And some of the required knowledge was buried in the texts. I remember an infamous question where you were asked the frequency of a dragon fly flaps and in the text about the dragon fly, you could read that it does a full flap in x seconds. So, you had to convert frequency to period length ^^ Stupid question, but mostly badly answered. The relation between frequency and period was given somewhere else (mind that we where 11 years old and not yet exposed to ration and real physics) The exam was too hard and got replaced by folders targeting each subject individually so students didn't had to read the whole thing multiple time. Also, 8 hours of exam is now considered inhumane, so they have breaks and only half days. And yes, it was rough, because even the teacher discovered the exam and the questions were quite different than those from the teacher. Now, this is simply disallowed, pupils can only be questioned on question types they already saw and no new material can be introduced within the test. Also, questions have to be self contained AND without sub items. So, it's way more easier now ^^ At the same time, at 12, you were considered quite autonomous...That was the goal of primary school, full autonomy. It got pushed to the end of secondary school.
    2
  40534. Ok, this covers how to check the logic of a proof well. But what about typos in your proofs where you accidentally write the wrong thing. Like for example writing ∏_{i=1}^1 (1-a_i)=1-a_i when you meant 1-a_1 or any other of those kinds of errors.
    2
  40535. This is especialy annoying on LaTeX since LaTeX is so damn complicated and clunky, that these sorts of errors are bound to happen.
    2
  40536. Also its not a wysiwg solution
    2
  40537. Could you do something for statistics graduate students
    2
  40538. Beautiful video!
    2
  40539. Legend!!
    2
  40540. since when did jeff bezos start doing math 🤭
    2
  40541. I have a friend looks like and acts like an average guy but his math skills are on a whole different world he learns math like snapping ones finger he isn't really good with theory but math skills are up their the only reason why he's grades look average is because he's a little bit lazy but I never try to size up with because I know he'll go gun glazing right pass me. Outside of that the rest of the school body suffers from serious math problems. O my personal math thing is that once I get a good explanation and example I'm good. After breaking down the explanation and practice it'll stick for me . Problem I don't get good explanation teachers use shortcuts or blaze through explanation once this effect compounds it spells trouble.
    2
  40542. Math profs are a different breed
    2
  40543.  @TheMathSorcerer  I have an engineering degree but aspire to be a Math teacher in the future. Currently my focus is on teaching high school seniors. How did you end up teaching in college? Is any specific degree required for it?
    2
  40544. Wish I've met you 20 years ago when i was a kid!
    2
  40545. Can I add you on league xD? What's your in game name?
    2
  40546.  @TheMathSorcerer  Ohh! I can't seem to add you, I think it has to do with servers. I play on EU, you're on NA I would assume :(
    2
  40547.  @TheMathSorcerer  I will make sure to create an NA account after my exam tomorrow :)
    2
  40548.  @TheMathSorcerer  thanks
    2
  40549. analysis and logic all the way.
    2
  40550. Isn’t it normal for all your work not to count for anything and you get graded on the exam? Homework is where you learn, I wouldn’t want the pressure of knowing my grade was going to depend on how well I do on a sheet on something I only just learnt and don’t understand at all
    2
  40551. I love you so much! You are my Hero! I wish you The Best!
    2
  40552. you are doing good work here.
    2
  40553. Wish you had been there when I was 19yrs old....I took physics chemistry maths in college but I landed up choosing chemistry as my major in my last year ,when I was interested in physics and maths..I went by the herd of friends that I had around me and none to guide me ...I then did my post graduate management in IT systems after doing some courses on computer programming ...late joined an It company worked as. Network engineer fr 12yrs and then moved on to a different company now working as a Network Architect but all these years I always had physics and math behind my mind ...I took up many books of mathematics nd physics and had them arranged in my shelf really not getting the time to read them completely ..I used to take up them sometimes to read but then fell back doing my professional cores...I have been always restless to study and understand mathematics ..Today am 40yrs old but that love for math has still not died in me ...I just keep on learning and buying books and just struggle to understand things but still have stuck to it ...An now doing my own self studies in machine learning where a large part is related to mathematics and it has brought my connection back to mathematics...I dont think in could ever think of leaving math till my last breathe and your videos has brought that life in me ...All thanks to you...All am doing is just trying my bit with what ever little I can do in mathematics...❤️❤️❤️❤️❤️❤️❤️
    2
  40554. I had taken Calc 1,2 and 3 back in college about 20 years back. I understood them really well conceptually. I need to refresh calc 1, differentiation and integration to pick up some concepts applied in machine learning. Can you recommend a decent resource that can help brush up my concepts on calc 1 differentiation and integration within a month?
    2
  40555.  @TheMathSorcerer  a million thanks! appreciate the prompt response!
    2
  40556.  @TheMathSorcerer  just curious you put in so much of your time to inspire and teach others, is there a way we can atleast make some monetary contribution towards your effort? Just as a thank you!
    2
  40557. Wtf, Math Sorcerer has gainz 😂😂😂 lmao!
    2
  40558. this is a great review! my main problem with all these books is that I do not have the time to go through them because I should follow the professor's lecture. so I can't study math because I am studying math. how can I combine them?
    2
  40559. bro i was crazy about this question, tysm
    2
  40560. Please keep posting videos like this and some more of abstract algebra ❤❤
    2
  40561. It's helpful for me, now I can check it out my answer, if it's correct or wrong. Thanks for this video
    2
  40562.  @TheMathSorcerer  Thank u sir !
    2
  40563. From which country are you?
    2
  40564. In us and cuba , indian maths are same
    2
  40565. And what is your qualification?
    2
  40566. I think some of the text books geared for guided-study accidentally set traps for self-study. I could be reading something simple that's going along slowly and verbosely and then wham; a proof of something is presented that I'd have to read the entire book or read an entirely different study area to understand. A teacher would know their way around this hurdle. For self study it could send someone off down a rabbit hole or make the reader skip ahead without crucial understanding.
    2
  40567. It’s amazing
    2
  40568. Good advice! Thanx!
    2
  40569. Hello
    2
  40570. Maybe study with someone in your class who likes math or is at least motivated to learn the material and is willing to study with other students.
    2
  40571. Thank you the math sorcerer
    2
  40572. Thank you very much, once i have kids i'll follow your video to teach them maths
    2
  40573. Sir I wants to buy this book
    2
  40574. Hi mr math sorcerer god, i mean sir uh I had a question for ya. So ive been looking over a lot of "guides" or recommendations from learning mathematics from start to finish, and some recommend doing discrete mathematics much later and then some recommend them as the first thing like yours so im just wondering which one I should do.
    2
  40575. No whiff of the book?😢
    2
  40576. I was blown away on how you solved abcd the way you did. Thank you!
    2
  40577. I came here seeking for help to learn to seek more help, btw good video I got what I needed
    2
  40578. Thank you for making these videos you save my grade daily!!!!!
    2
  40579. spooky
    2
  40580. It's the library of congress that borrows Math Sorcerer's books, don't forget that.
    2
  40581. Great book
    2
  40582. Thanks for the video. I want to start learning math again and find your video usefull.
    2
  40583. If your goal is financial. Then as Buffet said, a regular mathematician applying his brain to the stock market can make a lot of money. You do not need IQ above 125 to 130. You tend to find the very highest IQ not so wealthy
    2
  40584. Hi teacher math scorer I will start my semester 2 in this January 2021 and i will learn lineaire algebra i want your advice about the best book lineaire algebra for starter .thank u in advance I like your video.
    2
  40585.  @TheMathSorcerer  Thank u for your reply. But the Anton book is (Elementary Linear Algebra: Applications Version 10th Edition) or that one in this video
    2
  40586. First
    2
  40587. Can you review “introduction to real analysis” by Schramm? It’s a Dover book and I was wondering if it is suited for non math majors. Thanks!
    2
  40588. cute bird though
    2
  40589. Holy shit if calculus is level 1 I'm fucked
    2
  40590. Amazing! This is something I would really want to try out as well!
    2
  40591. How do I ask him a question of my own?
    2
  40592. I'm just curious: Is there only a preference, that you don't like paperbacks or do you have a practical/objective reason for that? Thanks
    2
  40593. Excellent work keep it up
    2
  40594. Thanks!
    2
  40595. Seems you really love Spivak hahaha
    2
  40596. I learned english thanks to memes
    2
  40597.  @TheMathSorcerer  thx :)
    2
  40598. I needed someone to tell me this. This semester I'm not studying enough
    2
  40599. Sorry. This don't ha e relation with this video, but I think it can be interesting for the channels suscribers: Springer has liberated some of mathematical books for free download in this link https://link.springer.com/search?facet-content-type=%22Book%22&package=mat-covid19_textbooks&facet-language=%22En%22&sortOrder=newestFirst&facet-discipline=%22Mathematics%22&showAll=true&utm_source=facebook&utm_medium=social&utm_content=ads&utm_campaign=SRMT_1_AD_MathBooks&fbclid=IwAR0bQWID12CjbOP-EANY39fhd_9_N7Vzz4SKAQVnwzFRq32TWonsFo2nkGI
    2
  40600. I always love the positive outlook you bring. Iam in my finals years of grad school in engineering and always feel like I don’t know enough math despite knowing more than 95% engineers. An open mind and willingness to learn is literally half the battle.
    2
  40601. So, SOOO, SO SOOOO Good. Thanks for this :)
    2
  40602. Love your motivational video I'm trying to get 100% on my entrance standardized test. It is hell lot of work. Cheers from Thailand 🇹🇭🇹🇭❤❤
    2
  40603. You're absolutely right, sir. Learning from a different resource is the way to avoid getting stuck and move forward. When I had discrete mathematics classes last year at uni, the subject seemed quite boring and impractical. And on top of that most of the books at our university library were quite old and their content were extremely hard to follow. But then I searched the internet and found tons of really wonderful books. I just fell in love with discrete mathematics because I found out that it has so many applications in computer science and algorithm design. I'm still trying to learn more about it and I think this branch of math should be taught prior to calculus because this is the best subject to master the art of proofs and proving is the engine of mathematics. ☺️
    2
  40604. I think one simple answer (but probably not the complete answer) is to do with the educational system. I studied fifty years ago and I know that in the meantime things have changed a bit in England where I grew up, but I think the basic structure still exists. There is a compulsory education until age 16. At this age there is a certification process involving exams known as Ordinary (O) levels. You have a choice of which exams to take and this depends on your ability and future plans. If you want to extend your studies, usually because you plan to go to university, then there is an additional 2 years in which you will specialize in three or four subjects (A levels) which are relevant for your future plans. I studied Maths and Physics. I failed Physics but my two maths A levels were good enough to get into London University. I did not "major" in maths but studied maths alone and nothing else. At school we had already covered calculus and I don't remember anything of the Newton era being taught again at university. Calculus was used and was extended to Vector and Tensor fields. What we started with in the first year was Real Analysis. I must admit this completely defeated me. At school you always had exercises that had answers and I, of course, found out that the mathematical approach had been less than rigorous. The jump from this to a complete abstract approach I found too big. The book we worked from was not well written. How I would have loved to have had Terence Tao's books to work from. From other comments it seems the situation is similar in Germany. But the Matura is more common in most of Europe. In Switzerland children continue to study more subjects, but they leave school later at 19 or 20. One other point in non English-speaking countries. The standard language used worldwide by mathematicians is now English. Although I would expect a lot of the undergraduate material to be in the local language any wider reading is likely to require English. I worked with some, mostly Swiss, mathematicians in a study group. They all spoke and wrote perfect English.
    2
  40605. thank you so much
    2
  40606. You really help me sir, thank you!
    2
  40607. There is also another book on Algebra by Bernard and Childs
    2
  40608. Well, I took a 6-week calc I course over the summer at my community college. It was definitely hard. But surely every single day I'd be trying to make sense of it on average 4-6 hours per day. I'm so glad I took it by itself, I passed with ~ 83%. Now I'm back at my Zoom U taking Calc II (as well as all my other classes). I somehow think Calc II has been easier for me than Calc I. I think it might be due to my privilege of spacing things out and some actual structure (synchronous classes). I completely agree that consistency is necessary and the more you are, the better you'll become. I also, however, think that since many people taking these sorts of math classes are somewhere in college level. Thus we have multiple classes per day. Typical ofc. But I myself don't study math everyday. Perhaps I supplement course learning with random interesting things on the internet, such as this awesome channel. Seeing things of higher level maths helps motivate me. I feel like motivation is something that really sets people apart. I'm somewhat of a hypocrite but the more motivated you are the more likely you'll be consistent. Therefore, I think that perhaps you could dig deeper than only Consistency and say motivation that leads to a want of consistency.
    2
  40609. Hi Math Sorcerer, how much math should I know, apply for the Computer Science bachelor program?
    2
  40610. Could you do a book about math for economics. I'm currently an economics student who isn't the best at math and I really wanna get better but I don't wanna waste time studying math that's unrelated to economics. Thank you for your advice and videos.
    2
  40611. Makes sense, thanks !
    2
  40612. I really like your videos. It's 23:31 pm In brazil. Greetings!
    2
  40613. Is it also true for irrational?
    2
  40614. Thank you very much
    2
  40615. Yup!!!
    2
  40616. Watched this 5 min ad just for you. Thank you!
    2
  40617. This is so true I can understand what your saying but is there any way to get some of the worksheet pen
    2
  40618. I'm so glad I don't have to do this anymore
    2
  40619. Oh boy El Hechicero de las Matemáticas
    2
  40620. Uff, the like count was 666, now I've got it out of that to 667 lmao
    2
  40621. Almost 100 likes without any disklikes Now that says a lot
    2
  40622. I bought a computer chess set and have thought about playing it, as when i was young i was so intellectually vibrant i guess bcoz of my chess games...Would you class playing chess as a break?? because that could be taxing but it could be using different mental systems?? i guess the best thing is to try it and see.... There, i answered my own question lol
    2
  40623. thank lot <3 , u really made it easy for me
    2
  40624. Yeah, I'm pretty good at math, but I struggle just like everyone else. Optimism is the thing I think keeps me going "If I spend 1 more hour on this, I'm SURE I can figure it out!" I've got this sort of blind confidence in myself, the me of now doesn't know what the Hell I'm supposed to be doing, but I know I probably have to apply what I've learned in class, and I know if I have an issue that the internet exists.
    2
  40625. I think I'm sleepy and this is a less applicable one for me though, so Im not sure if theres really any energy in that post.
    2
  40626. 😂😂😂
    2
  40627. Max Percer Get some good sleep lol!
    2
  40628. Mathematics for machine learning
    2
  40629. ill update on day 14
    2
  40630. Excellent Video! I was hoping I could ask a question. I've started my journey into advanced maths with these books: - Topology, by Munkres - Algebraic Topology, by Hatcher - Differential Topology, by Guillemin and Pollack - Differential Geometry of Curves and Surfaces, by Do Carmo I was wondering if you had any other suggestions in that direction, or thoughts on those books (i.e. good or bad)?
    2
  40631. Thank you so so much. You really help me.
    2
  40632. Plss keep posting more videos👍👍👍
    2
  40633. Age is just a number!
    2
  40634.  @alan_marx  🤣😂🤣😂🤣😂🤣😂🤣😂🤣😂🤣😂🤣😂🤣😂🤣😂🤣😂🤣😂🤣😂🤣😂🤣😂🤣😂🤣😂🤣😂🤣😂🤣😂🤣😂
    2
  40635. ur a great person thanks to you motivate me about getting expert at anything.thanks you sir
    2
  40636. His whiteboard handwriting is on point! Mine looks like it was written by chickens.
    2
  40637. self study is little easy for me
    2
  40638. Personally, I'd choose physics
    2
  40639. U r funny xd anyways thanks
    2
  40640. In the last video I watched from you, you said you had so many math books they pushed photos and other things off your bookshelf, i originally thought "oh wow, i guess theres just a lot to reference for a marhemetician". In this video you lost all that pity when you said you own 8 different pre-algebra books, you dont get to complain about bookshelf space when that preoccupied space includes 8 different middle school level (at least thats when i took pre-algebra) math textbooks. Like since they probably aren't proving anything in a pre-algebra course, if your complaining about bookshelf space in another video you either keep 1 as an arithmatic/state of public education reminder (if you even need such a thing as a mathematician) or you start your reference collection with things you can actually forget/has important proofs.
    2
  40641. Any chance of an rss or apple podcasts link?, I prefer pocketcasts as a podcast client
    2
  40642. You're damn right ✅️
    2
  40643. Exactly, the first thing Math teach people is to create success. It shows you your flaws and the problems' complications. Then by persistence, it gives you the skills to surpass them.
    2
  40644. clp1 and clp2 are the best calculus books in my opinion. They have hints, answers and solutions to every problem. The book is also free in pdf from the university of british columbia
    2
  40645. Hey ! GT is a true gem of math )
    2
  40646. time in the market is better than timing it
    2
  40647. just to let u know,your web does not seem neat when i view it in my laptop.not bad though
    2
  40648. These graduate school videos are always helpful. I am a senior pure math undergraduate student from Greece and this winter I will be applying to grad schools in the US and getting a bit of insight from people who have actually attended is very nice. I wanted to ask you ( or any other commenters who feel like helping out) how important the GRE general test is for the process. A lot of the unis don't require it ( or just flat out don't accept it) and the TOEFL and GRE Math tests have already cost me a lot of money. Do you think I should take it nonetheless or will its absence not really hurt my application? Thank you for the advice ( sorry for the long comment lol)
    2
  40649. I could've bet a kidney you were going to say Real Analysis!
    2
  40650. Thank You!!!😁
    2
  40651. Love this wizard!
    2
  40652. Thank you ❤
    2
  40653. Great math
    2
  40654. Thank you, its helpful 😊
    2
  40655. Good advice
    2
  40656. rip the mathsorcerer, he will be the leaguesorcerer now, joke aside, how often do you play? I might be interested in sharing a game or two
    2
  40657. Fascinating. What a great book
    2
  40658. Thank you very much, from Russia, Novosibirsk State University
    2
  40659. Audio ain't working man :(
    2
  40660. who tf is Joe?
    2
  40661. You look like an 1800s intellectual/scholar.
    2
  40662. Thanks a lot for this, great video!
    2
  40663. The easiest is cal l, everybody knows derivatives. As you say calculus ll is the hardest because of the series in it. Calculus lll should be hard too but for some reasons the professors and teachers give very easy exams so many people think that it is easier than calculus ll. However, the hardest and more far reaching theorem in calculus is the Stoke's theorem and that is in calculus lll, and we didn't mention the optimization problems with Lagrange multipliers that can be as difficult as series if the professor or teacher want to give hard time to the students. In addition , calculus lll may need some knowledge of vectors and linear algebra that it is not so important in calculus l and ll.
    2
  40664. Thank you very much!
    2
  40665. Awesome Sauce. My favorite subject of mathematics is DE!
    2
  40666. He also wrote "A First Course In Calculus" 5th (and last) edition
    2
  40667. Duuuude, thank you so much. I was looking for a video like this a couple months ago. You're the greatest.
    2
  40668. "No matter how slowly you run, you're still lapping the guy on the couch."
    2
  40669. If I were a professional math instructor, where would be my joy? Higher math or bonehead math? Bonehead math thumbs down. Why? Because turning on the light of the incredible FUN AND BEAUTY of math to a student is the ultimate reward of an instructor.
    2
  40670. The Swole Sorcerer
    2
  40671. I'm already 22 years old and I want to learn these mathematics ,just wonder if I still have the capacity to do it 😅😅
    2
  40672. Wow what a beautiful one.
    2
  40673. {1} what is the inverse of this subgroup?
    2
  40674.  @TheMathSorcerer  Appreciate it wizard-san!
    2
  40675. I am from India.
    2
  40676. Have you (or anyone reading this comment) tried to complement a topic with the e-book/kindle version of a schaum's? From what I've seen, is not that big of a difference in price individually, but it starts to sum up. I think I would still try to get the physical version of the topics that I want to learn the best or the ones I think I would use the most. Any feedback or opinions are appreciated :)
    2
  40677.  @TheMathSorcerer  did you buy a new camera that can follow you as you move around ?
    2
  40678. This dude spits nothing but straight facts
    2
  40679. Thanks for formula sir
    2
  40680. when can you uplaod one of your classes?
    2
  40681. My favourite subject indeed , thanx boss
    2
  40682. Math and that cute little parrot. I had to click.
    2
  40683. oh yes please. i need this book... thanks!!!
    2
  40684. Thank you!! Needed this today. I am taking my final tomorrow!!
    2
  40685. Show!
    2
  40686. I really like the way you think. It's clear you have spent a lot of time reflecting on many questions other than mathematics.
    2
  40687. Does anyone have any resources for set theory?
    2
  40688.  @TheMathSorcerer  Thank you !
    2
  40689. 🙀
    2
  40690. Thanks bro for the story, a wannabe physicist here :')
    2
  40691. Nice proof! I have an unrelated question, which program do you use to write?
    2
  40692. how can you discipline yourself to self study without a test. my human brain seeks maximum satisfaction with minimum effort and tv shows will always win for it.
    2
  40693. sir why dont you review jee advanced papers you will find them fascinating
    2
  40694. And ..what books I need to read to get 6 million dollars?
    2
  40695. I don't know how to complete the square but here I am.
    2
  40696. Thanks a lot. This is very encouraging and practical advice.
    2
  40697. Thanks!
    2
  40698. 4 years after: Oh my god, you saved my endterm exam
    2
  40699. Very helpful thank you so much
    2
  40700. Thank you!
    2
  40701. My lecturer on YouTube
    2
  40702. I must say you look like Lou Gramm from Foreigner or Jack Blades from Night Ranger
    2
  40703. Richard Courant books What is Mathematics?, Calculus, Apostol calculus books, Euclid's Elements(Heath) should be up there.
    2
  40704. Thanks for the review! It's a nice book with some interesting and difficult problems to solve.....God bless you...
    2
  40705. Thank you Thank you Thankyou thank you Thank you Ty tytytytyttyyt
    2
  40706. I would say coming up with arc length formula (not the fancy integral, instead a summation) and discovering the pattern behind (a+b)^n and a^n-b^n just me and a paper. That was when I was in high school; now after taking real analysis and discrete mathematics looks kind of elementary, but still, I think it was a great achievement for me. Also, not the biggest one but a cute result in plane geometry found also by me: take any perpendicular chords in a circumference where the intersection point is inside the circle, then the area of the cyclic quadrilateral is half the product of the length of the chords. By the way, what is your name? Take care :)
    2
  40707. why do you look at me like that?
    2
  40708. “I’m being abusive here”
    2
  40709. I WILL learn AP Cal BC. Thanks for the inspirational video :)
    2
  40710. this is literally my professor rn
    2
  40711. im only on high school and reason why i have very hard time on math because i have like 8 subjects like history,english,math,Science etc etc math is already hard itseft but i still have to study another subjects i feel like im overwhemel,
    2
  40712. Please make the next video on geometry advance theorem book.
    2
  40713. Power of ONE. Noted my friend. Thank you.
    2
  40714. This video was super helpful
    2
  40715. Kreyzsig FA is really good too, but all good recs regardless
    2
  40716. Amazing video, I loved it. But you forgot THE most prestigious math book ever made. Dare I say, the most prestigious math series ... The Manga Guide to Calculus http://amzn.com/B007XLF1SA
    2
  40717. it helped me.
    2
  40718. Wear the hat, bro. You gotta embody the Mathematics to the fullest.
    2
  40719. From New Zealand ...Not yet but expecting it.
    2
  40720. can we say 1/n^2 is smaller than or equal to [abs value of (cos n pi / n)] then do a comparison test and say that since the "smaller" expression 1/n^2 converges— since it is a p series with p>1— then the other series converges as well.
    2
  40721. ᴛʜᴀɴᴋx ꜱɪʀ
    2
  40722. Fact: Without hair he would look like Jeff Bezos.
    2
  40723. 👍👏👏👏
    2
  40724. The functional analysis is not easy to read by yourself, I think. Rubin books on real analysis are also tough to real and had applications only on control systems, I think. Any more feedback!
    2
  40725. Just admit it math sorcerer you are one competitive brother! Everybody I know who's good at anything naturally or just from hard work they're competitive they do not want to fail okay IQ helps also duh
    2
  40726. After watching a calculus pdf online i believe the intention of calculus is reprogram ur future. I even bought some calculus book to have it as goal and a bible. I hope someday to do the problems and learn it. #haveadream
    2
  40727. Thank you for great tips;) My tip -- TRY EVERYTHING TO WRITE DOWN, I mean -- it's not just about reading those books, but actually trying to write every step they're doing there. And actualy trying to understand those steps. It's an approach I do, anyway ;)
    2
  40728. I lost it when he said wolfram alpha.
    2
  40729. way better than the solutions manual!!!!
    2
  40730. 😂😂😂😂😂🤣
    2
  40731.  @gdsfish3214  whatever it is we don't have it 😂 They throw you in the desert and give u a few notes and good luck
    2
  40732. I regret getting cocky in Calc 2 and ended up getting a B.
    2
  40733. another cool spell from the math sorcerer
    2
  40734. Elitist and a damn good thing that it is! ( no elite thought, no mathematics and no philosophy, physics , etc… )
    2
  40735. Love this thanks man
    2
  40736. jeff bezos with hair
    2
  40737. This is the best video I've ever seen .I don't know why but I like your videos too much .I am your biggest fan. Love from India.🇮🇳🇮🇳🇮🇳
    2
  40738. Abstract Algebra, Ordinary Differential Equations and Managerial Accounting. Thanks for the help.
    2
  40739. 3:00 These are the moments I get even more into it. I keep chewing on a problem, I'd be waking up in the morning, making my coffee still thinking about it. But when I have this 'AHA erlebnis', I find that I understand things well. Especially with different perspectives. To be bothered about not understanding something is a good trait IMHO. It really makes you dig your teeth into things till you understand them fully.
    2
  40740. Wow
    2
  40741. Math Sorcerer, are you deleting or removing my comments ?
    2
  40742. Finally someone sharing his honest advice 👍
    2
  40743. Nice
    2
  40744. i love how exciting he sound.
    2
  40745. Only differential equations for me. Lots of science.
    2
  40746. Man you're amazing, turning into a big fan. Especially that last point <3
    2
  40747. I just found this book in a thrift store for $3. Fourth Edition, 1979. It has none of the review topics in the introductory chapter. Fourth Ed. jumps right into ODEs. It’s a huge book. The Fourth Edition has a number of new topics that weren’t in earlier editions. The main text is 939 pages. It’s a huge book.
    2
  40748. Good advice.
    2
  40749. The stamp on your Volume 3 says "Sichuan University Computer Science Department" in Chinese.
    2
  40750. I did OK in calc I, and I am currently taking Calc 2. My teacher blew through disk/shell method and work problems in a single week, then had to turn in review a week later. I felt like a complete idiot for not being able to keep up and seriously questioned my major (mechanical engineering) questioned if college was really for me. It is a little comforting knowing how hard it is for everyone though. I don't know how I'll make it through the next 3 levels of math though :/
    2
  40751. Hi Math Sorcerer. Can you do a video about Math Phds and the kind of jobs that they get outside of academia? Im interested in Phd program simply because I like math but I dont think I want to work in academia and havent really thought of what kind of job I want after that. Basically, I just like to keep learning and studying math but at some point I know i gotta do something with it which i havent really thought about.
    2
  40752. I can't find this book anywhere.
    2
  40753. thanks for your videos, I passed all the calculus 1, 2 and 3 all at once, and approaching real analysis next semster!
    2
  40754. Great :-)
    2
  40755. also hate getting suck at math
    2
  40756.  @TheMathSorcerer  glad you liked it!!
    2
  40757. Using something ineffectual will "not help you sometime" except randomly just as it will harm you in the same fashion - how can people that have taken basic statistics not know this? The only book you need to read is the classic 1973's "A Random Walk Down Wall Street" which explains all of this - or you can read the tens of thousand peer-reviewed papers that say the same thing - sorry YouTube dude.
    2
  40758. Watching this on 1.25 speed
    2
  40759. Why did YouTube send me here
    2
  40760. Your destiny is to learn math :)
    2
  40761. I love Mathematics but Math hates me and is always giving me a hard time :)
    2
  40762. Oh my God I love the Bird !!! I had one too. Had to give away. :’( Good theory you have Professor . I guess a lot of ability is to do with ability to laser focus which some people can do at an early age.
    2
  40763. this was so helpful! thank you so much
    2
  40764. Great! Keep it going!
    2
  40765. I needed this video
    2
  40766. You look like Isaac Newton.😅
    2
  40767. Really good trick Sir I"ll definitely try it out. thank you sir for keeping us motivated 📚
    2
  40768. "Co-sinch?" What? I've always pronounced it "cosh." My life is a lie.
    2
  40769. Could you please go over math used in this book in detail?
    2
  40770. Our University closed for two weeks. we needs to wait until starts academic activities after two weeks. I'm from sri lanka
    2
  40771. i thing thats jefe bejos...
    2
  40772. NO, I can testify -_-
    2
  40773. The math and physics is so superficial, but there's more material in volume that you have to take in. But the greatest and the worst thing in math for me is that most or all of the highest quality learning is done solo (Just my opinion, is it wrong?), so I can probably do that independently too. I'm kind of failing at that so far though...
    2
  40774. Dummy boi
    2
  40775. I want this book, please?
    2
  40776. God bless u
    2
  40777. awesome recommendations. Can't wait to explore each one
    2
  40778. you can still simplify it right?
    2
  40779. I love you!!! Thank youuuu!!!
    2
  40780. I ve just finished to look for the ones in the first video 😅
    2
  40781. I love you
    2
  40782. I did that. I saved my time and also made things easy. Later the problems get easy.
    2
  40783. yo what soundtrack did you use at 0:43 I found it in some other videos and want to use it in a yt video thx.
    2
  40784. this couldn't have come at a better time. this was very helpful thanks!
    2
  40785. thank's a lot
    2
  40786. Thank you :3
    2
  40787. thanks sorc
    2
  40788. Acrually action cleares stress away, it's the antidote to stress but for some reason people think the opposite is true
    2
  40789. Lmfao. Good one!
    2
  40790. Where is Gallian ??!
    2
  40791. Hey do you think life is meaningless? How do you approach life?
    2
  40792. Explain how the fuck you got that book for 10 bucks.Literally google this book and it's hard to get under 50 bucks!
    2
  40793. thank you for putting this up
    2
  40794. Thats literally my professor for fuck sake
    2
  40795. Thanks, man. I'm embarking on this new journey to gain new powers. Knowledge is power.
    2
  40796. Just subscribed to your abstract algebra course on udemy... Will start from tomorrow so excited
    2
  40797. People say, "I never used algebra after high school." I respond, "That is so very sad." (:
    2
  40798. dawgs are out
    2
  40799. It is amazing how a bad Professor with a bad Textbook can sour you on a subject. That was my problem with Physics. In my Old Age, I could get interested again, especially after this video.
    2
  40800. I Always refer to this book as the Bibble, not only because of the sheer size but the amount of definitions and information and excersises.
    2
  40801. I wasn't interested in math in school. I started learning math as an adult by myself. Learning math at your own pace is great, you're free to explore and make mistakes.
    2
  40802. Differential Equations Engineering should be the next book
    2
  40803. My hero
    2
  40804. i think i can pass the exam, but no further more LOL
    2
  40805. The Math Sorcerer will you be uploading every chapter?
    2
  40806. To get into the US army you need to know partial differential equations? That's pretty hardcore...
    2
  40807. What are the titles of the other five books?
    2
  40808.  @TheMathSorcerer  Oh wow! That's amazing! Everything except real analysis... Sigh! Do you know of any problem book with solutions in real analysis?
    2
  40809. This Helped me a lot thank You
    2
  40810. bro i love your content, thank you so much.
    2
  40811. Yes！In order to understand QR code , I must learn abstract algebra well！
    2
  40812. thank you
    2
  40813. You used paper and pencil
    2
  40814. Thank you.
    2
  40815. Thank you sir for the video it was very helpful and easy to understand
    2
  40816. 😆
    2
  40817. Thank you for this fantastic video
    2
  40818. Hi, I am a bachelor in Computer science, my emphasis was on programming and software development, I was never really interested in math before , but I have come appreciate it due to neil degrass tyson's astrophysics book "Astrophysics for people in a hurry " and lawrence krauss's "A universe from nothing". I am getting into machine learning and AI , but I am terrible at maths though I have studied it in college(but never properly and in Depth). If I take this journey of maths with this curriculum (which is a long journey) , would I be properly covered in AI atleast from the maths side of it?
    2
  40819.  @TheMathSorcerer  I would like to get a machine learning book and I will(currently finishing a python excercise book), however it seems as if I learn mathematics with just that goal in mind(Maths for AI) , then I won't truly understand the actual maths under the hood and I also feel as if it is better to take the broader approach (Learning maths first) before something specific (Learning maths for let's say x thing) , it seems as if with the latter approach ,the skills or thought processes that I would acquire from learning mathematics, I won't be able to transition and apply them elsewhere in other areas whereas, with the former approach I would be able to apply the thought processes everywhere. Or am I just wrong and overthinking it?
    2
  40820. Awesome demonstration and explanation, Dr. MS!!! :) :) :) :) Thanks a "whopple", my good man!! (BTW. A "whopple" is what I call a one [1] followed by a million zeros [10^10^6]. In high honor of Edward Kasner and his nephew who coined the term "googol.")
    2
  40821. This helped me understand induction with divides thank you so much
    2
  40822. I got Chemistry coming up Wizard I’m excited and nervous.
    2
  40823. helpful thank you
    2
  40824. Love these videos. Most solutions either take 30 minutes or do nothing to help students understand the approach. This was perfect! Thanks for taking the time.
    2
  40825. Shit you hit the gym??? 😮
    2
  40826. This is very helpful!
    2
  40827. You went to Indiana University? That's a very good institution.
    2
  40828. 30 mins a day? See you in 2076
    2
  40829. Hardcore!!
    2
  40830. I think we all know this. The real problem is the difficulty of swallowing your pride and moving on.
    2
  40831. Subject AND alphabet is the way 😊
    2
  40832. LEVEL 2 !!
    2
  40833. Very accurate. I don't like stereotypical videos, however am pleasantly surprised.
    2
  40834. I hate the sentence “time management” because for any problem you face you don’t if you will get a solution just if you put an extra effort or to leave and explore then solution comes into your mind or you know it while doing something seems completely irrelevant to the problem, the problem is that you don’t know, being an expert doesn’t mean you know too for sure you will face new problems but I love that sentence “it’s ok if you don’t get it”
    2
  40835. Nice men, keep gooing
    2
  40836. i've been struggling some because i didn't take precalc or trig. I can learn some of the trig required on my own. what would be a book to learn on your own for calc 1? I Have Calculus by Stewart but it's kind of difficult to understand so I'm wondering what book you would recommend
    2
  40837.  @TheMathSorcerer  thank you I'll be sure to grab a copy of It. As long as it helps me get the concepts behind calculus it should make calculus 1 easier to understand
    2
  40838. Thanks!
    2
  40839. Amazing book. Amazingly reviewed. Well done. And thank you.
    2
  40840. Thank you so much, professor. God bless you.
    2
  40841. So I'm not the only one who works on speed either.
    2
  40842. Love your encouraging positive energy ❤
    2
  40843. "The homework is just... good to do" Holy crap that's on point, my calc 2 professor did this to me
    2
  40844. "the homework is just good to do"
    2
  40845. Too funny🤣, barely comprehensible as per usual. And ofcos you need to fill in all the 'very essential' details with prior knowledge u should have magically obtained before class
    2
  40846. I had only one. Bronstein Semendjajev, the bible of Math
    2
  40847. Thanks for another informative video. I just enrolled in an online linear algebra course for the summer and its 7 weeks. Is there a way I can pace myself while learning the material at the pace the course requires of me? P.S. I'm currently learning matrix equations and matrix inverses on my own right now.
    2
  40848. You got me sold to behonest, I decided to not go to graduate school for math but this book looks like itll fill up that regret a bit :)
    2
  40849. If your studying through YouTube pay the 9$ for premium and don't be distracted ever again by those adverts. Well well worth the 9$
    2
  40850. These are excellent points for those wanting to learn how to code and solve complex problems with code
    2
  40851. I actually did this correctly except finding the limit to infinity
    2
  40852. does anyone know any book where its just like briefly touches all mathematics concepts?
    2
  40853. THANK YOU SO MUCH FOR THESE VIDEOS!!! They're awsome. Keep it up!
    2
  40854. taking modern algebra, number theory, cryptography and matrix theory (my first graduate class) this semester, excited but nervous.
    2
  40855. Thank you
    2
  40856. You get a life?
    2
  40857. The Calc I class I took last semester used an edition of Thomas Calculus. Needless to say, I was surprised to see a book co-authored by Thomas being featured on this channel! Will consider picking it up for this upcoming semester.
    2
  40858. Using ebooks and books in computer file format (pdf, djvu, ...) takes significantly less physical space and less volume.
    2
  40859. I read the thumbnail as "my as a biggest math regret major"
    2
  40860. 🙏💪
    2
  40861. SUUUUUPER !!! THANK YOU MATH SORCERER!!!
    2
  40862. 'At the bottom we have a 2% and we all know who that was' Never have I been more personally attacked by such a statement.
    2
  40863. ​ @TheMathSorcerer  Lmao no problem, it was kind of a joke. Great content, very relatable. haha. :D
    2
  40864. I know this video is old but it helped me so much for my Pre-Calc test...thank you so much! Totally recommending this channel to friends who may need it.
    2
  40865. We used this in my highschool precalculus class last sememster, So I thought this was really cool.
    2
  40866. evening, do you have an elementary topology playlist? i am studying continuous funcitons, homeomorphisms, boundaries, etc thank you
    2
  40867. Is this the simplified answer ?
    2
  40868. Uncertainty is something we depend on.
    2
  40869. This book belongs to the HALF BLOOD PRINCE! 😂
    2
  40870. I was a math major. Real Analysis killed me.
    2
  40871. Ohh Peterson graph 😣😣
    2
  40872. so uh, actually the best math teacher at my school stated that the derivative of 1/x is ln(|x|). Which is quite a major mistake (tho it isnt a very important fact). Idk how im gonna tell him since i dont have him anymore and i dont want him to to continue with the mistake.
    2
  40873. Sir, I must say: I am very grateful for your channel, and your videos. You sir are an inspiration. Congratulations from Brazil and thank you very much!
    2
  40874. Bro looks like he does what he's talking about.
    2
  40875. you rock! 🤘
    2
  40876. Awesome lecture. Very useful technique.
    2
  40877. I thought homework was the requirement to take the exam. You didn't do your homework? You can't take the exam. And that was of course for our own good, because the teacher was saving us from humiliation, according to his enlighten soul.
    2
  40878. Fascinating video! Thank you.
    2
  40879. Thank you for making these little shorts they've helped me a lot!
    2
  40880.  @TheMathSorcerer  not anymore. 309 likes to 0 dislikes.
    2
  40881.  @TheMathSorcerer  As it turns out it was me. I accidentally had clicked the dislike button.
    2
  40882.  @TheMathSorcerer  Kind of is.
    2
  40883. Useful as always, was stucked
    2
  40884. Thanks for good explanation ❤️
    2
  40885. Very good sir
    2
  40886.  @TheMathSorcerer  What do you think about "Concrete Mathematics" by Knuth ?
    2
  40887.  @TheMathSorcerer  I've had it for a while and I am planning to start going through it in phases. Perhaps, phase 0 would be going through all 0-level exercises. I don't expect to understand most of it on the first reading. Another one I want to conquer at some point is Sipser. Too bad it doesn't have most of answers, and I was not able to locate the solutions manual yet. This is so stupid that they are trying to "hide" the solutions, it really takes away from the value of the book.
    2
  40888.  @TheMathSorcerer  I got 3 of the books that you had recommended (Epp, Kolman and Chartrand), thank you. Indeed, Knuth is a bit dense.
    2
  40889. That’s easy, my professor told us to do every single exercise of every single book of every single library to prepare
    2
  40890. Great guy though
    2
  40891. step five--- go to google!!!!!!
    2
  40892. Wonderful!
    2
  40893. I always appreciate videos where you do problems. Your book videos are just as important.
    2
  40894. Thx
    2
  40895. This guy looks like jeff bezos with long hair
    2
  40896. Oh man these just keep getting better and better. I love it!!!
    2
  40897. If one really does love the subject but is geographically limited for family reasons, would you still suggest going to a program you know at the outset is subpar for your doctorate if you know you love math?
    2
  40898. I just love books and bookshelves on all subjects.
    2
  40899. Awesome
    2
  40900.  @TheMathSorcerer  Thank you lots, MS!! :) :) :) :)
    2
  40901. But Zero doesn’t actually exist in the real world right?
    2
  40902. Check out Walker's "Flying Circus of Physics"; it is great fun!
    2
  40903. Quite frankly until earlier this year i didn't want to do anything with math. Then I took some finance classes, like portfolio management which made clear to me for the first time how much of a superpower it is to be knowledgeable about math. Quite frankly the program i'm in you can get by just with pre-calculus algebra as it is oriented around business administration. The finance classes though made me think about how much cool stuff was there being left on the table. Long story short, i picked up math on the side trying to do some catching up, and after a few months now i'm heading into Calculus I. Should this endeavour pay through i might just go all the way after i finish my degree in B.A.
    2
  40904. Nice work fella. :^)
    2
  40905. شكراا مرة ساعدتني ❤
    2
  40906.  @TheMathSorcerer  i told you in my comment thanks ,you help me so much ❤
    2
  40907. Brilliant.
    2
  40908. First
    2
  40909. A person could take some time away from math problems to study and select a time management system, either electronic or paper-based or a combination. Once selected and put into practice, one may schedule some time for not keeping a schedule -- call that Gödel time. Perhaps a fantasy system could include doing math problems within the paper resources, and adding that work to an electronic version control system to be recalled and edited.
    2
  40910. From start to finish meaning its discrete maths fundamentals basics for me
    2
  40911. Math is all about proofs. If you don't like proving theorems, then don't do maths as your major. If you like to apply maths, the do a science, technology or engineering as a major.
    2
  40912. This is rough sheesh..
    2
  40913. came to know your channel for the maths, i stayed for the wisdom
    2
  40914. thanku im literally doing this topic right now its insane u upload videos about it
    2
  40915. First
    2
  40916. Do a video on Raman ajun
    2
  40917. Well I stop understating math from the 6th grade. Now I am studying history and languages in highschool, so I haven't encountered math in 3 years.I hardly pass the 8th grade math exam. I loved chemistry and physics, but never understood math and the more complicated matters. Do I have any chances of learning math and the other sciences?
    2
  40918. I have a maths textbook from 1891. I purchased it for 50c and only bought it for its age. No idea who the author is. It does have calculus in it. Not sure if there is anything else in there, off hand.
    2
  40919. please make a video regarding what math books and backgrounds you need to learn before learning stochastic calculus. especially steve shreves two books called stoch calc 1 and stoch calc 2 for finance
    2
  40920. It's trivial.
    2
  40921. Can some1 self study math and bust some of the millennial problems? Or win a fields medal, able prize etc
    2
  40922. I really needed that.
    2
  40923. For some reason I can smell this book from the video❤️
    2
  40924. THANK YOUUUUUU :)
    2
  40925. So go to the library and check out some books just to get more problems to work. Learning math is more of a skill than an academic subject. Practice practice practice.
    2
  40926. Wow, now I get it.
    2
  40927. Math sorcerer, from which part of US, are you from ?
    2
  40928.  @TheMathSorcerer  Nice
    2
  40929.  @TheMathSorcerer  I’m from Sri Lanka 🇱🇰
    2
  40930. "no homework"
    2
  40931. I’m about to go to college after not being in high school for 7 years. I don’t know what to do
    2
  40932. Math & Life Inspiration at a time I need it. THANK YOU SO MUCH.
    2
  40933. Got some vids on mixed mumber n fractions?¿
    2
  40934. This: y" + λy = 0 and that: y" + βy' + λy = f(x) ... over and over again! ;) SHO!
    2
  40935. I just started statistic thanks so much
    2
  40936. Wake up at 4am to get the best out of creativity in the mind. 4sure 😇 😇 😇 😇 😇 😇 😇 😇 😇 😇 😇 😇 😇
    2
  40937. 100th like. There is a 2nd edition to this excellent book.
    2
  40938. Great t-shirt!
    2
  40939. If you redo your Math Sorcer logo such that when he smashes his staff to the ground a bunch of maths pour out...I'll buy a hoodie.
    2
  40940.  @TheMathSorcerer  and sir i more questions i love physics as well as mathematics. now question is which field should i choose?guide me sir.
    2
  40941. Hello MathSorcerer! Thanks to you I have a better grasp on proof by inductions and logic!
    2
  40942. Thank you. I'm going back in the classroom soon. I love algebra. ❤️
    2
  40943. Plz review Morris kline's book too
    2
  40944. Will the class width be 1? Please help
    2
  40945. The Math Sorcerer thanks for answering but I mean will it be possible that class width be 1 in other situations ?
    2
  40946. I do believe you can make tons of money speculating with other peoples money so if that is your thing go work for a bank or a fund you make money off the commission from funds under management. low risk , steady return
    2
  40947.  @TheMathSorcerer  Thank you for the encouragement. I'll look into it. Your math videos are a great help!
    2
  40948. Can you make a video about ted kaczynsky math life (if you can call it this way)?
    2
  40949. Can someone who hasn’t learned algebra 2, trigonometry or precalculus, learn calculus from this book? Or is it a requirement to learn those topics before indulging into calculus?
    2
  40950. Thanks!
    2
  40951. high school left me at a shaky understanding of trig, time for round 2 now that I know what its applicable uses are facepalms in CS newbie
    2
  40952. Thanks for the enlightnement, Mr. Sorcerer!
    2
  40953. Thanks
    2
  40954. This seems to be exactly what I had felt.
    2
  40955. your advice is so powerful! Youtube is full of business people initially intending to just make money from videos, but what you bring is real value. You are breaking down mastery in simple digestive steps so well. At first i thought your videos were too short, id like to hear more, but the succint message is perfect considering possible imformation overload. Well done, and thank you each time you make a video. Sometimes i dont reply to every video but i and others are grateful for each gem.
    2
  40956. My role model is The Math Sorcerer :)
    2
  40957. Experience 🖖
    2
  40958. Amazing!!
    2
  40959. Why would undergraduate level mathematics books need regular updates?
    2
  40960. this is where im at
    2
  40961. 2:58 is my maths teacher.
    2
  40962. Awesome video. Makes learning set theory manipulations and identities worth while.
    2
  40963. Convergence tests for series are ok, computing what the series actually converges to is another thing, and thats usually a pain in the butt. If you're proving vector identities for calc 3 then its potentially more tedious than calc 2, its hard to tell when your brain or your hand gets tired first. Complaining about the amount of indices will probably get the instructor to think less of your ability to keep up, especially if they're a geometer or analyst.
    2
  40964. hahahahahahahahahhahahahaha the quadruple integral of a f = the end of the world
    2
  40965. you didn't say why the nth term test is completely useless
    2
  40966. Thank you, my friend. In due time, I will. Maybe next week. I shall.. 🙏
    2
  40967. How to integrate: Use the formula for that integral. Lol. Why not do the actual proof and write (1/8)^x = exp(x•ln(1/8))? It would be much more enlightening for new students
    2
  40968. Have you read ”Calculus A Complete Course” by Adams and Essex? I use the tenth edition in my engineering classes, and would love to hear your opinion on it!
    2
  40969. could you give a tour of your bookshelves; along with your favorite books? if you’ve already done that ill find it lol. also love the channel your passion is inspiring
    2
  40970. Thanks a lot!
    2
  40971. I truly respect this man.Intellect + humility= cool!
    2
  40972. You’re absolutely right, and you’re the best 🥰😊💕
    2
  40973. I bought this book. It’s been a minute since I’ve taken linear algebra.
    2
  40974. such a good video
    2
  40975. WOW I.......love this thank you for presenting this the video wasn't over when I had ordered this book.
    2
  40976. this channel makes me not want to die thanks
    2
  40977. A restful night's sleep is how I instantly get better at math. It's funny how that works.
    2
  40978. I am thinking of going back to highschool and study math and science and just do something , but my parents probably won't agree to it .
    2
  40979.  @TheMathSorcerer  no i didn't left school , i passed it , and i should go to university , it's a bit complicated system here , but all i can say , i can only opt for courses related to accountancy in uni , and i cant opt for science courses or degree , i will have to repeat my highschool with stem field , only then i can opt for them.
    2
  40980.  @TheMathSorcerer  i would be 22 age when i be finished lolol😂😂😂😭😭
    2
  40981. Here before the video goes viral 🤣🤣
    2
  40982. First one
    2
  40983. I love the intro!
    2
  40984. That is an awesome quote. If Feynman said it then there's definitely not enough humility.
    2
  40985. Thanks for The tips ! So helpful
    2
  40986. Watched the entire video
    2
  40987. Very well explained. I always mixed up between order and linearity
    2
  40988. Congratulations on your channel. I am not an English speaker, however I understand perfectly. You have a very good pronunciation. Greetings from Venezuela. Your videos are very interesting.
    2
  40989. 👍🏻
    2
  40990. why do people even do this? chain rule is so much better!
    2
  40991. You are an inspiration sir
    2
  40992. 5:20 that hits hard 💀🔥
    2
  40993. Thank u ☺
    2
  40994. YES! .we. ARE! MYOO-HA-Ha-ha-ha-ha-haaaah......
    2
  40995. Yeah, I saw it as your book review progressed. It's really a book to read in bed. Thanks for all the content.
    2
  40996. You could have also named this video 5 reasons to study math
    2
  40997. :trophy-yellow-smiling:
    2
  40998. My teacher always said "You can cheat me, just make sure you are not cheating yourself".
    2
  40999. Please do a video like this one on the Dover Book called " Principles Of Statistics."
    2
  41000. The book collection is about $1855 or so, lol!
    2
  41001. Thank you for the simple equation.
    2
  41002.  @TheMathSorcerer  Awesome thanks! Time to build up my multivariable collection now lol.
    2
  41003. This Gemignani text was well known in the early 70s, but I don't recall it ever got a revised edition. The inclusion of Dedekind Cuts is suspect. The completeness axiom may have been a bit more fitting at that time. Its Smith College origin could explain that editorial decision. Liberal arts colleges serve vastly different academic perspectives, as they should. Systematic studies on the pedagogical effectiveness of college textbooks were scarce in the mid-20th century, but educational research gradually began exploring textbook efficacy as a distinct area of study. Content standardized accordingly. As much as I love tests that are curve monsters, they are a royal pain to grade. (:
    2
  41004. Pro tip: Tests like this are why you read the whole thing first, and then answer the easiest questions for you. I guarantee someone else will find those specific questions baffling. This is how graders judge the range of what you do know as opposed to more standardized tests that are themselves possibly a part of a study. Or, a professor short of TAs. (:
    2
  41005. Who's the author of the book you're holding?
    2
  41006. Amazing!
    2
  41007. Review Khwarazmi's Algebra it's translated to English and available online
    2
  41008. 😊👍
    2
  41009. Make the earthquake calender Universe become official by it
    2
  41010. great video for explaining the procedure and intuition behind the proof. thanks.
    2
  41011. I started producing music at the age of 35. Your video, about 2 weeks to learn anything, is set as a daily reminder on my phone. 😁 Not famous today, but maybe in a month or two. 😁
    2
  41012. I started college at 22, working in a full time Job, had to endure 2hs of public transportation every day to get there. Like David i'm also Brazilian, when we get to 16~17 the pressure starts to get in the university, and we have two options: study like crazy to get a good public university, or start some kind of work to pay for a paid one. And here is when things get tricky: Our public education is not so good during regular school years, but universitywise is top tier. Our private education during regular school years is top of the line, but not so good collegewise. The good part is that your grades or what you did in school doesn't affect how you gonna get in these institutions, you just have to do some kind of exam. If it is for public universities, you have to study like crazy(EVERYTHING, from grammar to physics), even if you don't like most of these subjects. And for private ones, well, i never heard of a living soul that did not pass the exam. Most of people who make to the public universities are rich, because they can provide a good study environment, safe for some exceptions. And the poorer part goes to private colleges and for most of the part get soaked in student debt. And for a few poor ones who manage to get in a public university, if they don't have some kind of financial back up they gonna have a hard time, since these institutions are not so flexible with time. As for David, he can take his time to chose, not matter public or private, by the end if he succeeds getting the knowledge necessary, everything gonna work fine, just pick a subject that spark some kind of genuine interest.
    2
  41013. Those marbled endpapers at 4:52 are beautiful.
    2
  41014. Damn, I really needed this. Thanks.
    2
  41015. Jeff Bezos has got blond hair?
    2
  41016. Math is about patterns and foundations. One reason you do not understand math is because you do not fully understand conditional statements. If p then q. The day you fully understand this a wide door in math will open for you.
    2
  41017. videos sek
    2
  41018. for real..
    2
  41019. thank you
    2
  41020. I love this man
    2
  41021. Just ordered this book. Going back to school in the near future and want to refresh my trig and calc. Thanks for the recommendation!
    2
  41022. Nice explanation , cheers from México 🤠✌️
    2
  41023. You can rent a storage container you know
    2
  41024. Not all professor says what food they like as an additional introduction... LOL 😂😂😂
    2
  41025. I wish you were around in my younger years I would have enjoyed this then. At least I get to see you now.
    2
  41026. Shared. Thanks for creating this content.
    2
  41027. Professor I also came from a country where English is not a first language so I also tried and trying to speak and write English properly I trying to understand the foreign English spelling and pronunciations so I trying hard to understand everything about English language
    2
  41028. My college is not in my hometown and I live alone. Something that puts me down is watching people in Facebook socializing and feeling lonely with a lot to do while everyone else seems to be enjoying life.
    2
  41029. Simple and straightforward! Great advices!
    2
  41030. i passed on my math exam today, after many months of stressing
    2
  41031. Thanks for this video. 😊
    2
  41032. another great video
    2
  41033. Do you have any idea about this book? Is it good? Mary L. Boas - Mathematical Methods in the Physical Sciences
    2
  41034. Totally recommended. I started studying calculus when i was 16. Now, a year later, i'll soon start differential equations and I'm parallelly working on proofwriting. Every time I think about it, I wish i had started sooner.
    2
  41035. Are those books aimed at laymen?
    2
  41036. is x^2y'+y^2=7 linear or nonlinear??
    2
  41037. First
    2
  41038. I never felt so mathematically inadequate until I started teaching. Feel like pressing reset and rescaffolding my entire understanding.
    2
  41039. Wow... Thanks to letting me know of this new to me.
    2
  41040. mjs28s I took business calculus as a summer course.
    2
  41041. this was .... hilarious lol
    2
  41042. I need to tell you that this book is exactly what the Texas board of education follows. I'm not sure nation wide but I would assume it does to. It was because of you math sorcerer that I bought it and I was blown away. Every module that we go are on is the exact same as that book. For example if we are working on 3.3 on our module, you can go to 3.3 on this book and it will cover the exact same thing. I bought other books and they don't follow. We currently are using the Jullie Millers college algebra 3rd edition and I will say, it is a ripe off for the price. It's the exact same thing as this book except this one costs 8 bucks average and Julie's is 300 new (120 used). Now, Jullie's old edition are crappy, I own them. They do not follow the modules. My personal review is that Bob blitzers 4th edition=Jullie Miller's 3rd edition for a penny of the price. 👎 For Jullie Miller's 3rd edition. Bob blitzers should sew her lol (not kidding).
    2
  41043. Basically how quarantine calc 3 went
    2
  41044. This book is really nice, i had it from a garage sale, funny story I was uncluttering my house and i had this book, but i threw it away because we had a bunch of books we weren't using them.
    2
  41045. I want to recover from my nerve damage and start to live my life happier and healthier Its been almost 2 years since I suffering with this nerve damage hope the nerves will heal and functioning normal again the 2025 will end the suffering and start the healthier happier life
    2
  41046. well, the students are not the problem ...maybe the teacher ....who knows
    2
  41047. Shut up and take my money.
    2
  41048. Why does he hold the marker like that?
    2
  41049. One the things who makes me afraid until the point of stop me of study is think about robots and artificial intelligence can replace me. That take away my motivation. I have to get a way to overcome this mindset on this subject. Sorry I need help about this.
    2
  41050. Absolute treasure!
    2
  41051. Ha! Ha! STEWART Calculus, I gave up recommending that particular book. Because every year there would be a new reprint with variants like Trancedentals, US only, International Edition, Lecture copy and so on and so. All very expensive, very big. Students need economy, small size, comprehensive, well written, lots of worked problems (with answers). I think I mentioned it before, very popular for U/Gs here in Uk, "A Concise Introduction to Pure Mathematics", by Liebeck, CRC Press. Covering number theory, codes and very readable for lay person. But thankyou really enjoyed your library tour, unusual.📒 🦹‍♂
    2
  41052. wow. tnx alooooooooot
    2
  41053. This reminded me Mr.Robot
    2
  41054. super inspirational brother
    2
  41055. The answer to any and all of your questions is: money.
    2
  41056. What is your opinion of Otto Bretscher's Linear Algebra with Applications?
    2
  41057. I have been studying math on my own for about 5 years now. (I'm 78). Linear Algebra Step by Step by Kuldeep Singh was my first introduction to the subject. It was relatively easy yet reliable. But then I wanted a book that was more challenging. I don't know where I discovered Bretscher's book, which is very demanding yet very interesting. I know you suggest otherwise, but the way I approach math texts is to try to understand every word and every idea in the order it is given. I rarely go on if I can't understand something. Anyway, I am interested to know what you think of Bretscher's book. Thanks for all of your videos and suggestions.
    2
  41058. Well, I guess I can get behind not letting my past drag me down. Sure, I've quit the drugs, booze and cigs, but at the same time, all that's happened back then is gonna stick with me. So I hope you didn't mean "Stop worrying about your past = Forget about your past". As for the future, I think it is important to have some sort of gameplan. I'm aware that overanalysing/thinking ahead too far might require Omega (2^n) time as the number of variables n increases and so it would be paralysing. At the same time, the future is somewhat important, because, for example, I don't want to be evicted, which means I have to make my mortgage payments on time, which means I need an income, which I have right now, but .. You get the idea. I'd say many things are obvious in hindsight.
    2
  41059. thank you
    2
  41060. Excellent book.
    2
  41061. Thank you for the solution 👍
    2
  41062. woah This is spot on! That really is a good point
    2
  41063. thank you always!
    2
  41064. I wish you would talk more about the philosophy of math 🧮 . That math is just a social construct. Like any other language.
    2
  41065. I love these tours of your BOOKS ... thank you so much!
    2
  41066. thanks
    2
  41067. My role model is my doctor. And my Biology professor.
    2
  41068. thank you, very helpful
    2
  41069. Excellent Video sir
    2
  41070. Subscribed and respect
    2
  41071. you need a side-shaved haircut amigo
    2
  41072. This video just made me subscribe. I've been a math prodigal. Who will welcome me back home? 😓
    2
  41073. Thank You sir it was very helpfulll
    2
  41074. Math clarifies and sharpens your thinking. Most people think in a hazy, sloppy, biased way. Mathematicians tend to think in a very precise and logical way.
    2
  41075. good stuff
    2
  41076. I still have my copy of K&R bought in the late 70's
    2
  41077. Ok
    2
  41078. wow this is amazing i wish my professor taught me this
    2
  41079. Would you please make a video on Sub-fields of Pure Mathematics ? I mean as an Introduction to all Sub-fields of Pure Mathematics and what are they all about ?
    2
  41080. Loool
    2
  41081. Just what I needed, a book to practice calculus problems. Thank you :)
    2
  41082. You do not, at the beginning, but I'd say towards the end you will in fact need to elevate your IQ.
    2
  41083. Who remeber having this awsome, smart, kind and intellectual guy as your professor? I do, and I never forget the calculus classes. Funny to see someone professor on YouTube😂
    2
  41084. Hi, what textbook does your class correspond to? Is it "Differential Equations, with boundary-value problems, 9 th Edition, by Dennis G. Zill and Warren S. Wright "?
    2
  41085. The Math Sorcerer thank you for the reply! I’m actually taking Differential equations currently and I was just wondering. The video is great help!
    2
  41086. Best Book for real analysis
    2
  41087.  @TheMathSorcerer ... please make the next video upon that
    2
  41088. lost it at calc 7
    2
  41089. I am so burnt out, yet finals are in 2 weeks. This motivates me to study more. Thank you.
    2
  41090.  @TheMathSorcerer  ok thanks
    2
  41091. Nice
    2
  41092. What software did you use for writing?
    2
  41093. From where can we get answers to even numbered problems
    2
  41094. There is a typo in the title of the video: it should be "quantitative" 🙂
    2
  41095. bold of you to asume i am gonna even study
    2
  41096. Are you a visual eye sore on purpose, or do you just need some fashion advice?
    2
  41097. Thank you, buffed Kirk Hammett!
    2
  41098. Sir please solve all the questions of 4.6 dg zill for mechanical engineering students 🙏
    2
  41099. I have subscribed. I fear math but time to take it head on. I think its the most important skill to have.
    2
  41100. Every math sorcerer video has at least one excellent book recommendation. Suppose that a math sorcerer video doesn’t have an excellent book recommendation. But this is impossible. Therefore etc. QED.
    2
  41101. Crying from laughter. The Wolfram Alpha bit was the best!
    2
  41102. Thanks for the recommendation. I have other books of his and they’re all good.
    2
  41103.  @TheMathSorcerer  You're welcome! I've subscribed to your channel. I started my channel not too long ago, and I'm hoping to create some series on undergraduate math. Unfortunately, I've also been requested (and comissioned) to make some high-school level math videos so that will take some time as well.
    2
  41104. 12 minutes of a nerd fanboying over a math textbook, i love it 😂
    2
  41105. un saludo grande desde Argentina !!!! me encanta tu canal
    2
  41106. The International Series of Pure and Applied Mathematics, also known as Mathematics.
    2
  41107. With the book at almost $200, all I can say is thank goodness for the Internet. But this was a great video, nonetheless.
    2
  41108. stick to it, make it a habit
    2
  41109. Relatable 😂😂
    2
  41110. Wish you'd have made this a few years back when I was doing my BSc. Thankfully I still got my first class.
    2
  41111. TYSM 💖 Helped a lot
    2
  41112. It is super true sir 💔
    2
  41113. Why is Jeff Bezos trying a parody
    2
  41114. 👍👍
    2
  41115. Happy new year Dr. Sorcerer! 🙂
    2
  41116. 3x + 1
    2
  41117. I wish I could study math as a standalone subject
    2
  41118. can tell us about (art of solving problem) books in mathmatics please
    2
  41119. This is true!
    2
  41120. Thanks!
    2
  41121. thank you that was really clear
    2
  41122. Added to "watch later after university exam" playlist
    2
  41123. Is like Biarne
    2
  41124. Hello! I want to apply phd in maths. Do you have any movied about it?
    2
  41125. ❤
    2
  41126. This man looks like Jeff Besos.
    2
  41127. I'm not even a math major and I'm still inspired
    2
  41128.  @TheMathSorcerer  haha it does work though, I'm currently revising and feeling confident they can't ask me something I couldn't do :D
    2
  41129. Cristhian Martínez what books do you recommend for first course, especially for those studying from home?
    2
  41130.  @pinklady7184  i really liked Simmons
    2
  41131. 5 reasons not view this video :v
    2
  41132. The earth is a sphere?! Flat Earth Anger Intensifies
    2
  41133. This video help me a lot dude, now im on my way again
    2
  41134. No you don't you just need a calculator
    2
  41135. Keep doing what you're doing man, its legendary👍 Once again I can't relate more :)
    2
  41136. Thanks sir for uploading this kind of Valuable videos . ❤❤❤
    2
  41137. Paul Erdos
    2
  41138. I want to learn linear algebra. I struggled with it in the online class that I took. I believe you when you say a book is the best resource. I bought the textbook but still I struggle to have that aha moment. Suggestions?
    2
  41139. you are my reference teacher!
    2
  41140. Helpful ❤️
    2
  41141. Sir I want understand that how mathematics deals with any theory in other word about which math can talk and what is the main aim of mathematics
    2
  41142. Sir please reply me
    2
  41143. Thanks sir reply and want ask that how math deals or address any theory is it do by only it's expression or equation which show relations between elements in theory ( theory means here any topic or subject of math like calculas, matrices,topology etc ) and proof any of it by expressing that relations of facts in theory . Is it only the math aim .
    2
  41144. Surprisingly simple, thanks!
    2
  41145. Solid
    2
  41146. second
    2
  41147. Thank u, great video :)
    2
  41148. 8:00 - the secret that makes self study work: you "Learn How To Learn". There's even a Coursera course on this topic. Once you learn how to learn, you can tackle any subject.
    2
  41149. Amazing Advice!!!!
    2
  41150. I was a math PhD student in the spring and then I drop out and got into computer science so I’ve stopped doing algebraic topology for awhile lol
    2
  41151. Instead of fidgeting with the books and flipping manically thru the pages, turn to a page or two and linger there, giving the viewer the opportunity to absorb the contents as you speak.
    2
  41152. Can you please make a video on "tips and trick to learn precalculus in an easy way"?
    2
  41153. this man is a cinematographer
    2
  41154. But I don't use any maths in my day to day software engineer job.
    2
  41155.  @TheMathSorcerer  Thanks for the reply and the advice! And for your videos that always seem to show up in my feed when I need encouragement most.
    2
  41156. Your wisdom is unmatched; thank you! 💡❤💎
    2
  41157. Great!
    2
  41158. Then I throw the game regardless when the midterm arrives.
    2
  41159. Hey, at the moment i study physics in germany and so far what i can tell is that math courses are more definition and proofs. Its like a grammar lesson in a partical language. In physics you learn how to use the definition and proofs to describe nature, so you basically train the use of mathmatics in a higher level. Hope, i could help a little bit.
    2
  41160. please comment or do anything to this comment in order for me to come back to this video for motivation and buildup of discipline. God Bless
    2
  41161. cant be the only one who died every time he said over
    2
  41162. Is it possible that if I stick to something (say, a field or subject) long enough, even though I hate it at first, that I would eventually come to like it?
    2
  41163. Haha great!!
    2
  41164. Very ok thx alot
    2
  41165. Can you make anything about notetaking and organization with your own notebooks?
    2
  41166. Tell me that this is exaggerated!!!!! Cries in undergrad freshman
    2
  41167. Great explanation.
    2
  41168. your videos along with other mathtubers like 3Blue1Brown made me want to study math and physics all over again.
    2
  41169. Math People are Elitist Part 3: The author assumes you know nothing at all and makes it a point to write the biggest math book in history.
    2
  41170. I got a B+ in undergrad Advanced Calc but an A- in Point-Set Topology. Topology was way harder but I put tons more time into it.
    2
  41171. This just got me through the day
    2
  41172. thanks imma quit my bachelor course!
    2
  41173. Thank you so much for this video Sir , I believe this video will change my upcoming future and current state to reach my best self 😇🙏🏻
    2
  41174. perfect timing because im in multivariable calc rn!
    2
  41175. I love you
    2
  41176. Thank you for the video.
    2
  41177. After the disintegration of USSR in the early 90s all those scientific literature became non-demanded, people losed their jobs in science and industry and many of them got out in the streets to become self-employed street dealers. To survive they sold all kind of stuff like those books, that had no use to them.
    2
  41178. cos(ix)+i*sin(ix)=e^-x
    2
  41179. Math is not magic. If you do not understand all of it now, perhaps later things will clear up.
    2
  41180. Pulling out big P in front of the whole class... brave
    2
  41181. Who said mathematicians can't be cool😁 Thanks for the video
    2
  41182. As someone going to apply for grad school in astrophysics l feel like I’m missing out not getting to study most of these fields.
    2
  41183.  @TheMathSorcerer  Thank You Sir. I understand your lectures. They are so simple and amazing. Sir,I think you should also prepare Some Videos on Riemann Integrals.
    2
  41184. Thank you sir Isaac Newton
    2
  41185. what text book we using
    2
  41186. Thanks...
    2
  41187. thanks
    2
  41188. Do I need to study analysis (baby Rudin) before abstract algebra or they aren't related
    2
  41189. Thank you sir
    2
  41190. Good
    2
  41191. Thankyou sir! Your methodology is so good. Respect from 🇵🇰
    2
  41192. This video should be titled "The Scariest Abstract Algebra Book" because the thin books on advanced <math, physics, etc.> are denser than neutron stars!
    2
  41193. Thank you so much for this video. It helped a lot.
    2
  41194. Maybe I misunderstood some concepts, but this proved M is the upper bound for an. For a sequence to be bounded, we also have to prove it is bounded below right?
    2
  41195. Hello sir and thank you for your videos. I just saw your video about the path to follow to learn mathematics from zero with the books you mentionned starting with discrete math books, is it okay to use the same ressources to learn the mathematics for physics ? I'm very new in mathematics and interrested on physics and don't know much about it. Salute from france !
    2
  41196. So inspirational!
    2
  41197. for the first i was watching your videos i was just like why he looks so familiar? and after a couple of days I remember that ooooooo he looks like Isaac Newton !😁but may be I'm just the one who thinks like that but anyways I'm studying general mathematics and this is my first semester and I was full of stress before I watch your videos but one day my unckle told me hey try to watch his videos now I feel more confident I'm getting better at math thank you sooooo much may God bless you
    2
  41198. Do you do linear algebra
    2
  41199. Very cool
    2
  41200. Great job on this video u helped me
    2
  41201. Thats a lot of math books.. and I want all of them😂.
    2
  41202. I switched to math major this year. I'm not great (yet, I hope) but I'm soooo happy to be here & wouldn't have chosen anything else now that I think about it.
    2
  41203. Plz do a video like "U can learn calc 2 in one video"
    2
  41204. I have a little bit of dyscalia and am trying to learn different languages, and I've heard the same thing about getting more than one book or source on a subject to learn different ways.
    2
  41205. I dreaded studying some of these last semester 😫
    2
  41206. This was just amazing. Hell lot of thanks
    2
  41207. Thank you prophet sorcerer
    2
  41208. were you an applied math major?
    2
  41209. I like big boards! When they're too small, I hate them!!!
    2
  41210. Awesome! 😎
    2
  41211. Your content is better than a breakfast in bed🥰😍🤩😘
    2
  41212. Nice vedio sir.
    2
  41213. 6:57 "e to the negative x squared over two". I hear Americans say "─" as "negative" rather than "minus". Why? In this particular case x may or may not be negative, so to call it "negative x" is misleading.
    2
  41214. because nothing is being subtracted in that instance, it is simply a negative number in the exponential. I'm sure most americans say minus when the case arises it is actually subtraction
    2
  41215. thank you so helpful🙂
    2
  41216. Not only does your advice resonate with me (thats actually an understatement).. but your energy is so so pure.
    2
  41217. thanks prof😊
    2
  41218. thanks
    2
  41219. Are you applied or pure mathematician?
    2
  41220. Good Job
    2
  41221.  @TheMathSorcerer  Hello
    2
  41222. If God can’t change math that’s means math is eternal
    2
  41223. Not a super hard limit but super hard Math Teacher:)
    2
  41224. Hii ❤❤❤❤
    2
  41225. Please do a video like this one but for Masters programs. Excellent video.
    2
  41226. Thank you this saved me
    2
  41227. You are the best teacher, because others will limit you and tell you that you are dumb!! Worse teachers ever, teaching is a calling
    2
  41228. Muchas gracias amigoo, saludos desde Argentina! <3
    2
  41229. why is the video 720p only?
    2
  41230. Not sure how to articulate this but there is a thought / question inside me, How much math can a person, learn if it study's 4 hours a day on average everyday, for years and enjoys the process.
    2
  41231. I am currently after long time learning Linear Algebra there is a lot that I will have to refresh.I feel joy going on this journey.
    2
  41232. Love your videos! I am a mathematics major at The University of Texas at Austin with a 4.0 GPA. I am currently in a proof based Linear Algebra class, which is honestly difficult for me. I got through cal 1-3 with flying colors and took differential equations without any real difficulties. However, it is hard to go back to basic concepts and fully elaborate upon them. We are currently going over groups, isomorphism and homomorphism (the previous unit was on set theory, injectivity, surjectivity, and bijectivity). Do you have any advice?
    2
  41233.  @TheMathSorcerer  Thank you so much! When I hear things like Topology, Real Analysis, and Algebraic Structures it honestly freaks me out! It's good to know that Linear Algebra will help prepare me for those enough to where they will actually be doable. That's definitely really motivating to hear :)
    2
  41234.  @TheMathSorcerer  Thanks, that's fascinatingly tantalizing considering the astronomical hours taking me through even the primers
    2
  41235. A much needed to fill gaps and refresj, thank you 💐
    2
  41236. The Math Sorcenegger??? Lets go!
    2
  41237. Really helpful video Thankyou sir
    2
  41238. Please make a video about linear Algebra at college :)
    2
  41239. I ate some pie
    2
  41240. Thank you so much for this. I commented on a previous video about how I had a nearly perfect score (and still do) but failed the midterm which brought me down a grade level. It was online. I’m a slow test taker, but doing it online especially makes me anxious, so I spend even longer. I’ve been working on solving the problems faster. Hopefully I can finish with a high B!
    2
  41241.  @TheMathSorcerer  I hope you see this! I can’t believe it but I actually did it! I’m too excited right now, my joy and excitement for math has been renewed. I look forward to working twice as hard next semester! Thank you for dropping those videos, especially at the time I needed them the most!
    2
  41242. Thank you sir, this what I was looking for on this topic please bring more topics on such how to become smarter, become 1%, how to retain more information, increase focus etc.
    2
  41243. 7:55 Still Cursive but yeah students hate that. And that is the man solving the Schrödinger Equation for a Hydrogen atom
    2
  41244. Professor Assstring
    2
  41245. How long did they have to do this test?! 😅 brutal...
    2
  41246. I like the teacher style
    2
  41247. dang, i really needed to hear this today. thank you!
    2
  41248. if dude had no hair I would say it's Jeff Bezos
    2
  41249. first
    2
  41250. We really gonna talk about C??!??! Okay ^_^
    2
  41251. 1) Find study groups online like on discord and contribute 2) Put up private tutoring flyers at your locals schools or colleges and charge a low amount to start 3) Buy and read books or online math material 4) Watch youtube videos and other online courses on the internet
    2
  41252. Mathelicious ❤️
    2
  41253. Just had a actuarial science degree year 2 final, needed this a lot, thank you
    2
  41254. If you really want the foundation document, look for "Wheeler, Wilkes, & Gill" - "The Preparation of Programs for an Electronic Digital Computer, with special reference to the EDSAC and the use of a library of subroutines". The first book on programming ever published, and the basis of Addison-Wesley's success. Alas, it's out of print, but still in copyright. A-W should print a facsimile edition.
    2
  41255. I really like your videos. I'm studing an engeniering carrer and 90% of the curriculum is math. I was always bad at it and i'm still bad for university grade math, but i'm still trying and your videos are very helpfull. Now i'm studying from Vectorial Calculus from Marsden and Tromba.
    2
  41256. Fair enough, that's how I got my bachelor degree
    2
  41257. Great advice!
    2
  41258. Dear Mr. Sorcerer, Any thoughts on prioritizing Linear Algebra before Calculus? I ask because for the past couple of centuries there has been so much emphasis placed on Calculus, but with computers being placed more and more at the forefront it seems to make more sense that we study Linear Algebra and even Discrete Mathematics and some Statistics before worrying getting too hung up Calculus.
    2
  41259. Love this😍😍😍😍😍😍😍😍😍😍😍😍😍😍😍😍😍😍😍😍😍😍😍😍😍😍😍😍😍😍😍😍😍😍😍😍😍😍😍😍😍😍😍😍😍😍😍😍😍😍😍😍😍😍😍😍😍😍😍😍😍😍🤩😍😍😍😍😍😍😍😍😍
    2
  41260. Haha I see how you cleverly put Sex on the board
    2
  41261. Just wait for those letter variables my friend.
    2
  41262. Super helpful, thank you
    2
  41263. 👍👍
    2
  41264. 🤔😂🤔😂🤔
    2
  41265. Thanks, this is very helpful. 🙂
    2
  41266.  @TheMathSorcerer  I've just found your channel and am finding it very useful. I'm trying to build up my skillset so I can help my kids with maths as they get older. My kids love your comedy videos. 👍
    2
  41267. please blink your eyes
    2
  41268. You are very good teacher ❤
    2
  41269. 0;18 "Hey, hey, it is the brothers!.." What? Are they latecomers? Are they by chance Luke and Spencer?
    2
  41270. Love these videos, keep it up!
    2
  41271. f' = 2x At (1, -1), f' = 2 So, m in the straight line equation = 2. y - y1 = m (x - x1) y - - 1 = 2 (x - 1) y + 1 = 2x - 2 y = 2x - 3
    2
  41272. Wrote this down before watching...
    2
  41273. Oh wait... (1, -1) is not on the curve!
    2
  41274. I had this one long time ago.
    2
  41275. Ooohh Trust in old obcsure cheap books My physics book came from the 1980s and cost $10, taught me better than my book
    2
  41276. I like to buy artin, but it’s too expensive here in India almost 200 US dollars.
    2
  41277. Personally i never resonated with any Shaums books, altho i had several. Because I am moving to Europe, i threw out so many of my maths, physics, chemistry, biology, biochemistry, genetics etc text books. I had over 110 maths text books alone. It broke my heart throwing out so many to minimise the weight of what I am taking with me. One of my favourite maths books is the one by a Russian guy called Advanced Maths for Engineers......it's packed away so don't remember the details. Even tho i threw out a lot of text books, i do have from the good old internet days of torrents, I downloaded a zip file with maths text books and when i unzipped it, it had over 5, 000 maths text books yet I am like you, where i prefer to physically hold and smell them :-) Printing them out or even some of them would cost an absolute fortune lol
    2
  41278. Will you help me on my exams, join discord haha!
    2
  41279. It looks like a very good book. I used Blanchard's in my course of ODEs. :)
    2
  41280. This is so lit
    2
  41281. Man I wish this was my differential equations course, I'll have to re-take it this semester, plus its gonna be online so... yai
    2
  41282. Hi
    2
  41283. Great
    2
  41284. I LOVE YOU
    2
  41285. More than an education issue, its a cultural and economic one. Compared to Europe and UK, USA offers myriads of job opportunities, regardless of your education background, and it is not strictly necessary to have a solid college education to achieve a certain level of success. Another advantage of USA is that whoever has a passion for a subject and talent gets all the support mankind is capable of providing. However, colleges require massive income to sustain themselves, and that means watering down undergrad courses.
    2
  41286. THANK YOU VERYeeee MUCH.
    2
  41287. This is so true , once I was giving an English exam even though I could have gotten a+ but I only gotten b , cuz I didn't had time left for the last two questions even though I know the answers , rip grades
    2
  41288. Thank you!!
    2
  41289. I gotta say, my college algebra class started and I got off to a slow start and the reality has quickly set in. I need to really raise the priority level asap, already behind and barely hanging on and it's only the first week! ＼(°o°)／
    2
  41290. Is it just me or is anyone else here because of Larson of a Single Variable question 27 from section 3.5? couldn't figure this one out for my life for some reason
    2
  41291. If we can say that geologists are all just rock lickers in hiding then I think it's fair to say that mathematicians are secretly just book sniffers.
    2
  41292. 2:04, to me it is the opposite, traditional education, where the teacher lectures and the students just take notes is counterproductive.
    2
  41293. Silvanus Thompson in Calculus Made Easy had a great discussion on e and why it is so important.
    2
  41294.  @TheMathSorcerer  the rest could probably be inferred but its not everday my meager mandarin skills show their use! 四川(Sichuan)大学(University)计算机(computer)科学(science)系(department) 图书(library)?科室(department)
    2
  41295. Cool, what software do you use? How do you write on the screen?
    2
  41296. If you think you understand quantum mechanics, you don’t understand quantum mechanics. - Richard Feynman. I don’t even try to understand quantum mechanics conceptually, it’s beautifully described through the math.
    2
  41297. This guy should open a beauty salon
    2
  41298. 2:19 If this ends up being the case for my class, so help me...
    2
  41299.  @TheMathSorcerer  Excellent video.
    2
  41300. “I don’t know if the book is still in print” I can still find the book in Barnes and Noble all the time
    2
  41301. ^^
    2
  41302. Boom!
    2
  41303. I wonder if the Spanish version was able to avoid copyright infringement because it based on the older book.
    2
  41304. Interesting, that is how I got my master's degree man it was painful all the things I had to give up.
    2
  41305. I completely agree but there's one thing you don't mention. You say "time" but that time needs to include proper sleep. You will not learn if you don't sleep well.
    2
  41306.  @TheMathSorcerer  I prefer books (showing my age). I can flick through pages faster than swiping or clicking through a pdf.
    2
  41307.  @TheMathSorcerer  The "cheap" copy of Advanced Calculus (Woods, 1932) is arriving from Spain, soon. It was far cheaper than current prices on Amazon. It's in good over all condition, but I will take it to a book restorer, for its long-term preservation. It won't be a shelf-queen, I will use it.
    2
  41308. Do you suppose there is any difference in reading papers as opposed to textbooks?
    2
  41309. thank you!
    2
  41310. This was my book in 1967.
    2
  41311. In Poland, in high school you can choose two options: advanced math or basic math. Advanced math covers everything up to calc 1 I’d say. Without advanced math you can’t even think about studying math at a European college. I chose basic math and now I’m studying undergrad math in the US and I’m getting As. I’d say the main difference is that American colleges are more flexing about what classes you take. As a freshman, I only took calc 1 my first semester. In Poland, I’d have 5 math classes chosen for me by my university without the ability to change anything.
    2
  41312. So true
    2
  41313. Today I'm second !!
    2
  41314. Can you make a video on dealing with imposter syndrome? Sometimes it's difficult to tell if your exam scores are an accurate representation of your understanding of the material.
    2
  41315. Great channel !
    2
  41316. Is math a talent or an acquired skill?
    2
  41317. Mid 40's and I am in my third year pursuing a Math degree. Is it too late? Nope. I would say its never too late, cliché. This may depend on the school, I personally found the math students very mature and have made some great friends. Shout out to TMU FM and MiA students. The largest hurdles are likely: monetary losses, desire to learn, ability to adapt. Some of the difficulties an older student may have are completely different than a younger student. If you are on unsure about your abilities, perhaps consider a calculus class in nightschool highschool class and see how it goes. I love to learn so the experience has been thus far amazing. You may find other interesting areas like I did with computer science. I can't comment on career prospects yet, but I am hopeful. GL
    2
  41318. I realize. I WANT EVERY MATH COURSE THROUGH PHD PHYSICS online. For Notes and a second reference. I wont bring up the physics but that also.
    2
  41319. Thanks for the video, it helped me understand what i was missing all along
    2
  41320. The book gives lots of knowledge..
    2
  41321. Thank you.
    2
  41322. Abstract algebra seems too difficult for me... actually real analysis was one of the easiest lessons to pass
    2
  41323. He’s 100% right…and not to be the devil on your shoulder but you need relief as well. Going out with your friends isn’t a bad thing. Do something to unwind. If you’re going 100% all the time you will crash as well. Find a balance but if you are particularly struggling, I would definitely embrace his strategy to the fullest.
    2
  41324. This man is awesome
    2
  41325. I have fluctuating confidence towards my math answers from the start of my online classes and with the creation of anxiety. I am more of a try person before I become motivated and surely confident enough again.
    2
  41326. The guy doesnt even spend time on blinking😂
    2
  41327. Thanks a lot for making a video on a topic I requested! Thank you❤️
    2
  41328. Love you 💋💋😘😘❤️💯
    2
  41329. What a clear explanation. Thank you!
    2
  41330. I was waiting to for "with Amazon Prime you get extra points in your final grades".
    2
  41331. THANK YOU, I really needed to hear this! I love your videos, keep up the great work!
    2
  41332. You gotta get back to making this videos 😂😂🤣
    2
  41333. Where does the engineering math fits in ... Stuff like Fourier analysis and Laplace transform.
    2
  41334. Someone failed this course, the other day Amazon sent two trucks to me on the same day from the same order.
    2
  41335. I do have an opinion. My thought is, “what is balance?”. I believe that you determine what balance is to you. It’s all perceived. So I like to think what my balance is. Is it possible to shift my balance where I direct it? Why or why not? If not can I create an illusion therefore making me productive which leads to the winner effect? My personal balance is one which I can dedicate a specific time/s of the day to fully focus on an activity, then relax to recharge from the expended energy and be with family and have some fun. I personally would be happy focusing really hard for 8-10hrs daily and then getting the rest of the day to do whatever I want, whether that’s being with family if possible or researching interesting things, or other creative endeavors.
    2
  41336. This is just the ratio test right? One of the criteria of convergence? Btw awesome video! I wish I had discovered you 2 years ago when I had to do this in uni. Watching your videos will insure that I won't forget tho ; )
    2
  41337. "...it's easy to see..." I got so tired of hearing my Calculus II prof say that, I didn't even put my hand up and just blurted out yeah well it's NOT easy to see. He stopped, and said, where is it not easy? Someone else said yeah that skips more than a few steps how do you get to where you are there? Took up the rest of the class for them to explain as many other students began to question what was never easy to see... so, yeah never fall for the ol' "...it's easy to see..." trick.
    2
  41338. You should check out indian books used by iit advance student.
    2
  41339. Tu régales
    2
  41340. From when did Issac Newton start giving self-help advice?
    2
  41341. Appreciate the videos! I am finishing your College Algebra course, and I'll probably start Trigonometry soon after. Keep it up!
    2
  41342. Two things: 1. I loved the parrot. 2. I'd like to add it requires proper instruction as well; I had plenty of time and I was pretty good at math at school, but because every math teacher I had was a total a**hole, by the time I graduated high school I developed such a strong dislike to math and anything remotely related to it, that I didn't want to have anything to do with the subject ever again. Only at 26, when I started studying math by myself as part of my training as a draftsman, I realized I actually enjoyed math. Now I'm thinking of going to university to get a bachelor's degree in math and, who knows, maybe even progress to Ph.D. in the future :)
    2
  41343. Thank you math sorcerer...
    2
  41344. Sometimes your brain is not cognitively ready for abstract thought. You need more brain development, that is why mandating algebra for all students by 9th grade is ridiculous. Math is great!
    2
  41345. Building confidence is hard. Much easier and with the same effect is being almost arrogant about being a good mathematician. This only useful for beginners though.Every time you do a proof, imagine you are the first to do it. This will make it much easier to be patient and to stick to a problem. This blissful and helpful ignorance eventually transforms into genuine self confidence with experience. But the advise of being self confident is not useful for beginners as struggling with beginner problems and seeing other students solving them does not build confidence, only if you are at the top of the ladder. My suggestion is more of a psychological trick for those who struggle with persistence in the early stages. But be aware, if you are naturally gifted, this can lead to real arrogance that does not transform into confidence.
    2
  41346. Was it a pure math degree or applied math/stat?
    2
  41347. Hi professor My Question is the art of programming Easy to who has PhD at mathematics?
    2
  41348. Great video, concept and focus!
    2
  41349. INTRODUCTION TO REAL ANALYSIS Robert G. Bartle Donald R. Sherbert take a look at this book , please
    2
  41350. i will use this knowledge to preform better at strategic online games
    2
  41351. This is something I'm still really struggling to do. Thanks so much for putting these videos out, I hope they continue as well as the usual math content
    2
  41352. "The first test is the beauty, there is no perspective for ugly mathematics" Hardy. See my channel.
    2
  41353. Dan Saracino it's a good integration
    2
  41354. Woody Allen once confessed, I forget in which film, that he cheated on his metaphysics final by looking into the soul of the student sitting next to him.
    2
  41355. Gracias man!
    2
  41356. I had struggled with math. No support from parents (they struggled too & and did not want to look stupid in front of me, god forbid I make them say "I don't know") It was my music and physical education teacher that cleared a path of normalcy for me. One taught me music reading and timing and the other made suggestions to get me on allergy meds through his influence. I was a grade behind but with their help, I was able to catch up two grades. We moved to a new state. That states math curriculum had my grade learning a year ahead of what my previous state had that grade at. As a result, I was not ahead, nor behind anyone. I could blend in without shame.
    2
  41357. oh my god your budgie is so cute
    2
  41358. Proofs! Mr. Sorcerer. This is the bread and butter.
    2
  41359. Thanks
    2
  41360. May i know about your working institute?
    2
  41361. 8:20, if that squiggle is Gregg shorthand, it reads G-L, two other strokes look "T" and "T." It might be just an abbreviation.
    2
  41362. Finally. Bro do one for kindergarten to highschool to engg to Math Sorcerer. 🔥
    2
  41363. E over I times R or E/I*R, either way I gotta have it for work. I also need math to make pancakes. I'm a self-study electronics technician that likes to cook and without math for a day I will be fired, starved or both. I put my math on with my socks, yes a cold redbull and a fresh sudoku starts things right. I can't do 14 days man. I'm addicted to Math, I found out after I quit drinking. I get your point. I use sleep and Pot.
    2
  41364. Awesome channel, glad I found it! Thanks for the advice! Have you read the book "Mathematics of Human Fluorishing" by Francis Su? I think you'd really like it.
    2
  41365. This book was edited in Spanish too, you should make a video about it on your other channel.
    2
  41366. I'm surprised that your understanding about "talented people" is spot on. I mean, you are mathematician, not a psychologist/psychiatrist. That's exactly what my therapist said to me. I was that "naturally talented" person and yeah, as you said, I failed due to not having patience and discipline when I need to relearn some things. I struggle with insecurity and lack of self identity due to my failure. And you right again, all of my "mediocre" friends, who were accustomed to "failure" are all more progressive in life than me right now 😂
    2
  41367. ugh the top result for the topic I was looking for was in Hindi, good thing the sorcerer is to the rescue
    2
  41368. Thanks you sir🌺🌺🌺
    2
  41369. Your classes are so good, they made me sign up as a channel member. I'm still getting used to seeing you not cutting the 7 like i do here in Brazil 😂
    2
  41370. I think Isaac Newton went high on drugs cause he was stupid
    2
  41371. Do you consider math to be mysterious? @The Math Sorcerer
    2
  41372. Mine just arrived today, sweet!
    2
  41373. Just found this in a book sale at my local library!!! US$1.00! :D
    2
  41374. Thank you so much!!!
    2
  41375. Good video mate,appreciate that)
    2
  41376. Thank you❤
    2
  41377. Thank You
    2
  41378. Obrigado.
    2
  41379. I'm in high school(Studying Calculus) and I really love math, I'm thinking of doing a math major. I just wanted to know if you recommend any specific books for me to start with that would inspire me to choose my major, I would be very grateful for your suggestions <3.
    2
  41380. Thank you! Thank you! Thank you, for making this video! Very beneficial!:goodvibes:
    2
  41381. Thank you so much! <3 Liked and subbed!
    2
  41382. Thanks Sir you save my day❤️
    2
  41383. Thanks
    2
  41384.  @TheMathSorcerer  Thank you!!
    2
  41385. Love it!! Looks like a fantastic book!!
    2
  41386. 🙂🧡
    2
  41387. This is frightingly correct....jesus.
    2
  41388. Thank you so much for this tutorial ❤️ it helps me a lot!
    2
  41389. i was assigned this integral in my textbook, and i literally had no clue where to begin. I took it to the math and stats helpdesk and even they were confused. I spent about 3 hours just breaking the question down and seeing what I could try to figure it out. Then i looked at the question in the textbook again, and it turns out I wrote it down incorrectly. If only I watched this video beforehand.
    2
  41390. Thank u so much kind sir
    2
  41391. So if a student now uses ChatGPT and submits and it is accepted and nothing happens, chances are the professor will look at him with "i know what you did last summer" eyes
    2
  41392. I thoroughly enjoy all your videos! Recommendation to all students: Steer clear of "Maths 505"!!! This guy tries to cram a year's worth of calculus into 10 minute snippets - Information Overload! I appreciate your comments below
    2
  41393. Every major in university needs time and hard work in my opinion. I wanted so much to study mathematics but i was afraid to fail. I knew it would be difficult for me this major as i didn't study harder in the past. I feel sad as now i am studying Economics thinking i had to risk to get in maths. I always was thinking for a second degree in the future but as you say this five things are very important. At least i can study in my own some math subjects i like but again it will be very difficult . Thanks for making this video .
    2
  41394. Didn't know Jeff Bezos had hair
    2
  41395. I love your motivational pep talks. Thanks professor <3
    2
  41396.  @TheMathSorcerer  OK. Delving in to this right now. BTW, not sure about anywhere else in the world but here in the UK education system Discrete Mathematics is referred to as 'Decision Mathematics. https://tinyurl.com/yaz2c4oz
    2
  41397. 3:39 fuel is the way this works for anyone serious about following this program. You have to eat an enormous of protein, carbohydrates and fats in the prescribed proportions. Gallon of water and plenty of rest. It really is made for someone who is doing this nearly or completely full time. At least with my experience. Not sure how Arnold feels about what he said now that he is older and feels the effects of his lifting but he didn’t like wraps or anything to help lift other than the equipment itself. Also this is about body building and mot weightlifting. It is not about the number but the desired effect to the human body and aesthetic from it. A whole human being does involve some level of exercise and it is good for those in a purely academic setting to develop that part of themselves. Honestly it is not different than researching something you are weak and and start practicing to get better. Nice video.
    2
  41398. I want to thank you for your efforts
    2
  41399. Waiting for the Sun. The Doors.
    2
  41400. I agree
    2
  41401. Great video thanks !
    2
  41402. The Math Sorcerer My professor last semester made it to where he tested us purely on the concepts. So setting up the problem, but not actually solving them. This was mainly due to having a 50 min time restriction though on the exams. The HW though was a different story, that was brutal.
    2
  41403. Have you noticed how most of the movies about famous mathematicians (and scientists in general) are kinda sad overall? I mean, consider: 1. The Imitation Game (Turing) 2. A Beautiful Mind (Nash) 3. The Man Who Knew Infinity (Ramanujan) 4. Every movie about Nikola Tesla 5. The Theory of Everything (Hawking) All deal with a lot of sadness, hardship, and heartache. Some at least have a "happy ending" in a sense (Nash for example, recovered from his schizophrenia and had a lot of additional success (and hopefully fulfillment) later in his career. But still, it seems like most famous mathematicians / scientists lived lives that have a lot of sad shit to talk about. Wonder why that is? Also, somebody really needs to make a movie about Paul Erdős. Talk about an interesting character! Wow. https://en.wikipedia.org/wiki/Paul_Erd%C5%91s
    2
  41404. Could this be related to aeronautical navigation? The distance from New York to London must take the curvature of the globe into account.
    2
  41405. I need some of your home work to try my hands on
    2
  41406. Math is hard I’m in my last year of college and it’s so hard I’m trying to finish this
    2
  41407. laughs in 12 languages of the Indian Subcontinent
    2
  41408. Thanks for my dose doc
    2
  41409. Edward Scheinerman's Mathematical Notation.
    2
  41410. all universities and colleges have courses online
    2
  41411. geez....trying to climb my way out of college algebra.....lol....thx sorcerer for mind expansion!
    2
  41412. You never fail to give me the best explanations. It's so simple yet intuitive
    2
  41413. Thnkuuu sm sir
    2
  41414. is it just me or does he look like jeff bezos
    2
  41415. Thank you
    2
  41416. My joke to Physics professor is, “why torque is painful?, prof replied, its not painful, because its too easy... I say it is! , thats the sound of hitting a hard thing on your head, “torque”, not “toink!”
    2
  41417. Watch the video und 2*Speed
    2
  41418. That shirt is bitchin I want one
    2
  41419. This is amazing... Just in time. Next sem I've got Functional Analysis. Thanks a lot.
    2
  41420. thanks ^^ that really helped me
    2
  41421. I feel it now specially on discrete math, although I don't feel it before, maybe the environment is the problem and not really the math. If we all want everyone to get good at math then I don't think math is the problem.
    2
  41422.  @TheMathSorcerer  tysm!!!
    2
  41423. I will never understand educators who prescribe “struggling” in a vacuum. Feedback is the most important aspect in learning something. You need a way to assess your own understanding. Plenty of times I thought I had a good grasp on a concept only to learn later that it was built on sand. Also, I don’t subscribe to the idea that educators should “save learners from themselves.” The folks looking for the easy way out are not learners and it ends up punishing those “struggling” to learn. Those who really want to learn won’t be satisfied with just the answer. Many times, I’ve sat with an answer continuing to work through the problem because I wanted to understand. I almost didn’t continue with my Math career because I routinely encountered educators who weren’t willing to provide solutions. There are many ways to “bang your head” with this stuff. It’s very frustrating when educators pander to the wrong audience. It’s incredibly misguided and unfortunate. The discipline needs to reevaluate this approach.
    2
  41424. Alphabetize them within the various sorted subjects. And store them all within hidden compartment (for the gold) bookshelves.
    2
  41425. Thx for your hard work and dedication. Appreciate you, Math Sorcerer ❤🧙‍♀️. 💜☮💙🌐💚👽💛😎🧡🏴‍☠️❤💯💥L337
    2
  41426. Nice!
    2
  41427. thank you ❤️
    2
  41428. Thx
    2
  41429. Do algebra and pick up some Español, too :-)
    2
  41430. My hero <3
    2
  41431. Hey math sorcerer what’s your opinion on what math creators like me can do to grow
    2
  41432. I like L'Hospitals rule better tbh just LHX3 that bad boi
    2
  41433. lol your female characters are the best
    2
  41434. We just... Love you... ♥️ Such a beautiful inspiration! Keep the videos man! Much love ❤️!
    2
  41435. I need tips I’m trying to self study physics for engineers because I’m going into Engineering physics 1 and I’ve never taken physics before but the problem is I can’t even get thru the question in the text book.
    2
  41436. I find playing nature sounds quietly in the background works, such as rain and wind, distant thunderstorms, babbling brooks, etc. YT has endless options that are hours long in play time.
    2
  41437. first
    2
  41438. Wow the video is perfectly synced with music
    2
  41439. bro i don't know but this guy is looking exactly like jeff bezos or jeff bezos is a good math teacher and he is trying to disguise as this guy
    2
  41440. I like this guy
    2
  41441. Muhammad Ali 🔥
    2
  41442. long lost brother of Jeff Bezos
    2
  41443. People confuse arogance with elitism
    2
  41444. Nice😊😊
    2
  41445. Man, I studied mechanical engineering in Spain and we all had to study abstract algebra on the first year...
    2
  41446. The real question is why do you look like Jeff Bezos' long lost identical twin
    2
  41447. Those fat books are terrors of libraries yeah they r
    2
  41448. Great video, I enjoyed it! Keep up the good work!!
    2
  41449. Dude! Holy Smokes! I'm going to need another room to build a second library!
    2
  41450. thanks bro,it was really helpful
    2
  41451. He looks like how jeff bezos would look if he were a pro in mathematics and not extremely money oriented 😂
    2
  41452. I used calculus by Earl Swokowski
    2
  41453. Math 100% speedrun
    2
  41454. WHAT
    2
  41455. Loved the video. Thanks @TheMathSorcerer
    2
  41456. How does this book stack up against the Epp book? Out of the two, which one do you prefer for beginners? I'll probably look for a book more orientated toward computer science, like the Knuth book. I NEVER write in any of my text books. I try my best to keep them like new.
    2
  41457. Yasss☺
    2
  41458. Think I would get a C, but hey, at least it is not an F. I never had calc2
    2
  41459. Just took my calc 2 final, which was absolute torture. I had two hours to answer 30 questions and contains long topics like trig sub, partial fractions (with the long division as well), disk/washer/shell methods, and series. Pretty much if I took more than a minute to think of how to tackle a question, I had to move on. On the bright side, the test is out of 150 points instead of the usual 100, so there is more room for mess-ups.
    2
  41460.  @TheMathSorcerer  Luckily I did! My teacher told me that I got the highest score on it and it was enough to get me an A for the class!
    2
  41461. Without a shadow of doubt, C has always been my favourite language to use. Procedural programming always just made more sense to me.
    2
  41462. Sir I want to know whether advanced calculus by woods is readable,for those who is beginners in advanced calculus.
    2
  41463.  @TheMathSorcerer  Sir I am not able to understand the proof given in Michael spivaks book on topic sequence and series(like proof of integral test and many other proofs) What should I do😭🤯 Is there any book that I should learn to know the proofs in the book calculus by Michael spivaks 🥺 Plz help me...😭🤯😱
    2
  41464.  @TheMathSorcerer  Thanks a lot sir❣️💥 . . U saved my brain from an explosion...🥺🤣😂💥👌 And I am waiting for ur early review ..💥❣️😎💯
    2
  41465. might be better to learn linear algebra before calculus. calculus clicked better once you understand the algebra
    2
  41466. Machines have made us dumb
    2
  41467. Maybe, put a little focus on vocabulary. It's always nice to know the meaning behind the words.
    2
  41468. Well, I have a bunch of tips, I hope I won't get too caried away in this comment. Before that, the first thing I want to adress is the folowing questions. What is the reason we do excercises? Why are we solving all those problem? And what is the end goal in learning all those subjects? In my opinion, the answer to all of those questions is "To learn from the wise people who were here before us". As long as you aren't in a possition of doing your own research, all of academia is one big colaboration over centuries and countless generations. The fact is, no one person could ever come up with all thid wisdom on his own. So we learn from others. The rant "I wouldn't ever be able to think about this by my own" is pointless in my opinion, since there is hardly one thing you will invent by yourself along the beginning of your academic life. So what is the goal in doing all this? To be a sponge, and absorb all this wisdom. When you sit on a problem, you wreck your head around it, and you reread some of the materials relevent to it, you inevitably get more familiar with the subject and develope better understanding of it. When you spend enough time to go over all of the resorces in front of you and you still didn't find a way to solve it, you probably did about 80% of the way to the solution. Once you read a solution after such mental preperation, you will learn much more from it, and you will absorb much more wisdom of it. What I'm trying to say is, even if you didn't manage to solve it, if you devoted enough time trying to solve the problem, you probably achieved most of it's hidden value And for solving problen advices: In every subject I learn, I try to have an intuition to WHY it's true. In my case it usually would be a visual picture in my mind or as a scetch that describes that subject. Try to challenge your understanding. "I learn this theorem, but what would happen if I change it like this? Would it still be true? Why is it phrased specifically like this? What conclusions can I draw from it?" As you become more familiar with a subject, you will get a better intuition to it If the problem is proof related, try to convice yourself why it is true. Most of the steps of a proof are about to give argument. If those arguments can't convince YOU, then they probably won't convice others as well. Proof writing is intertwined with logical argumenting Don't be too harsh on yourself. As you shouldn't expect from yourself to win a game the first time you play it, or to cook like a cheff the first time you stand in the kitchen, you shouldn't assume to you will solve problems in a new subject the first time you learn it If you have friends who learn those subjects as well, read each other's proofs and give each other feedbacks. My first year in university was my best year, since I constantly improve by sharing knowledge with my fellow students and not just being by myself And lastly, treat it the same as you would treat a problem in a newspaper. You won't scold yourself if you get stuck while solving a sudoku. The reason is because you do it for fun, to enjoy the challenge. I know it might sound counter intuitive, but being in this mindset helps you to enjoy more what you learn, to not overwork yourself AND to learn better since stress kills creativity I hope this comment will help SOMEONE, because it turned out way to long. Good day to anyone who reached this far and happy mathemating!
    2
  41469. Thank you! This will keep me going some more this rainy Friday morning. For me it's Functions that I keep adding or subtracting wrong with. Amazing to know I'm not the only one! And reassuring to remember that picking up new maths isn't nearly as much of a problem.
    2
  41470. What math book do you recommend for getting a girlfriend? Fundamentals of calculus by Larson hasn’t help much. I’ll try Stewart’s version. Any suggestions are welcomed. Good day chaps.
    2
  41471. Blink a little!
    2
  41472. I havent even learned multiple integrals yet, I dont even know if it's a joke or not.
    2
  41473. No problem
    2
  41474. Noice
    2
  41475. Some people put in the needed time.
    2
  41476. Dont Response Bought a smartphone, got some Money now for cheap eBooks.
    2
  41477.  @lawliet2263  Logic. To be more specific, Reimann or lebesgue integration. Well, that is for definite integrals at least. I would recommend the Riemann integral be most useful, but lebesgue integration can be useful in other situations. But for indefinite integrals, it is just logic.
    2
  41478. I just want to agree that you need to sacrifice yourself or at least enjoy that process sometimes we can't see the results at the time and learn how to distribute the time or that little pieces of time.
    2
  41479. thankyou so much!
    2
  41480. Can you introduce for me some books about matricies please? Thanks a lot
    2
  41481. And the #1 math subject most people never see is... 🥁🥁🥁 Machine learning! 🤣🤣 But seriously, here's some of my favorites: 1. equivariant degree theory (see the green book by Dr. Balanov, Dr. Krawcewicz, Dr. Steinlein) 2. variational analysis (a more general form of convex analysis, applied to set-valued mapping) 3. complex analysis of several variables (you have that one in your list too) 4. functional differential equations (in particular delay differential equations) There's plenty more, but these are top 4. For 1, I was taught by both Dr. Balanov and Krawcewicz themselves. So yeah, if you don't go to a certain school/program, you may not get to see some of these.
    2
  41482. Python and R are ruling the world ❤️
    2
  41483. The part about dividing by the same new exponent in the integral is part of the integration formula, yes?
    2
  41484. I think that the lockdown made you put on some weight.
    2
  41485. THANK YOU!!!!!!
    2
  41486. Very very good excellent video
    2
  41487. Funny. "1966! That's so long ago." I graduated from N.C. State university in Applied Mathematics in 1962.
    2
  41488. ps. my dad had a machinery handbook & a slide rule. So I can use (both) the quadratic formulas, and the old timey slide. Not to be bragging, I understand the young folks don't remember B&W TV.
    2
  41489.  @simpleman283  Yes, times have changed. I bought one of the first home computers that would run a version of Unix. It was the Radio Shack 1600A that rand XENIX, a version of UNIX. I bought it in 1982 and it cost $5,800. It did not have a hard drive. It had two 8" floppy drives and had 256 KB of memory. I upgraded to 512 KB for another $500. I bought an external hard drive for $2,000. Capacity was 15 MB. Those were not the "good old days."
    2
  41490. Sir, how about video on rote learning which is perhaps tantamount to cheating.
    2
  41491. Thanks a lot it was really helpful
    2
  41492. I just wanna say thanks for time you spend for videos! I'm busy with Susanna S. Epp Math book that you recommended right now, but after I'll definitely take a look at Integrals!
    2
  41493. Your message has been very human, and will have a positive influence for me, and I think for others too. Great message, incredible valuable and good done.
    2
  41494. That was awesome.
    2
  41495. The algorithms in the book are described in "MIX", a generic assembly language.
    2
  41496. I have let two ads play out to their ends. Interesting ads, though.
    2
  41497. The Math Sorcerer I'd be honest. The first ads were the ladies' lingeries. The second ads was a guy telling viewers how to get rich. I clicked on the latter to see his channel. I lost interest after that. Now I have returned here a second time. I see two ads playing at the end of video. Those by Hyundai and Aer Lingus, both from my homeland, Ireland. Btw, topology is a little too advanced for me, though I will come back here, when I have other maths learned off first. I am relearning complex analysis, differentiations, limits, derivatives — stuff like that.
    2
  41498. The Math Sorcerer thank you very much for the link. Very useful infos. I have been reading it, while unable to sleep. Now it is 4:48 AM. I'm returning o sleep.
    2
  41499. Watched the whole video just now... I bought a number of advanced calculus books recently; I'm thinking I'll buy this one next & hopefully actually read it (like a math text me a novel hahaha)
    2
  41500. The only real reason - time.
    2
  41501. Got recommended this video after receiving a 30 day probation at my job. Let's see if I can change
    2
  41502. Thank you so much for your advice! Where can I find your book list?
    2
  41503. this is awesome
    2
  41504. please make some asmr math study vlogs .this will be really fun to watch
    2
  41505. I don't know but the term "do math" doesn't sit well with me lol
    2
  41506. Newton, is that you!!?
    2
  41507. I studied almost everyday for years. The last two months I have been fumbling on and off. I don't have that consistent flow I had before. Now I am just doing simple problems to understand the basic concepts. I mean honestly been burned out for about two months 😔. I am now I studying pre cal and I am going over trig and algebra 2 to the point it would make anyone scream. The sad thing is what helped me not get burned out is not doing anything for weeks. Luckily, I am not in school now, but now I have the time to focus on going back to school. Lately my brain hurts. That's how bad it gets.
    2
  41508. 60 minutes a day for how much days
    2
  41509. I think it’s the way an idea is presented , you either click or don’t
    2
  41510. You Remind me of Cliff Stroll the Klein Bottle guy. I love you and cliff, you guys actually have excitement and energy when doing math. Not that boring monotonous tone, that sounds like proffs a robot.
    2
  41511. Any opinions on: - A Discrete Transition to Advanced Mathematics -Understanding Analysis - Apostol's Calculus (do I need that if I understand analysis?) - Linear Algebra Done Right
    2
  41512. 100% correct
    2
  41513. Thank you for the video. It inspires me 😌
    2
  41514. 😂😂😂😂😂😂
    2
  41515. Amazing. Thank you!
    2
  41516. wow what are the odds newq to me a book i never studied from thanks
    2
  41517. Hello sir , can you suggest me basic algebraic topology ,I am beginner for algebraic topology .I want details proof
    2
  41518. what is the name of last book?
    2
  41519. Thanks mate
    2
  41520. You Just made exact equations my favourite topic everrrr.Love from Bangladesh 🇧🇩
    2
  41521. I do ton of them and am slowly getting better
    2
  41522. I heard research is more important for medical school admisions.
    2
  41523. Baldor es sin duda uno de los mejores libros para aprender Algebra, con un montón de ejercicios y la inmensa mayoría con respuestas.
    2
  41524. Thank you
    2
  41525. 6:36 Because there is a market for it, would be my guess.
    2
  41526. Math sorcerer has abandoned magic for a strength build!
    2
  41527. What are some good books for undergrad set theory?
    2
  41528. Thank you 😊
    2
  41529. 1:17 your friend published the book!? 1:20 oooh okay a recommendation.
    2
  41530. The only challenger in the fame department is "Security Analysis" by Graham, Dodd and Kottle. Yup, the same Graham.
    2
  41531. You get a little bit of various physics classes in one book.
    2
  41532. Big help! was stuck for a cool minute
    2
  41533. Thank you
    2
  41534. first
    2
  41535.  @TheMathSorcerer  as far as I know If H is a subgroup of G and H=G or H= singleton set of identity element, then it's improper subgroup ... And here (e) is Identity ,so it's improper subgroup. Plz correct me if i am wrong..
    2
  41536.  @TheMathSorcerer  the james stewart that im currently using is his Calculus Concepts and Context. Have u ever had any experience with that version of his?
    2
  41537. How do you stop memorizing and start understanding?
    2
  41538. 0.8660254037844387 says Python, √3/2 says my memory from "college" (the gymnasium).
    2
  41539. I love you. I love your video. I hate the way you hold that marker. I can appreciate the fact that your writing is better than mine, and the fact that it is an efficient way to write, but I still hate the hand position
    2
  41540. <3
    2
  41541. Thank you.
    2
  41542. Thank you, this is a great explanation!!
    2
  41543. On bonus week of spring break, looks like we're online the rest of the semester at Mississippi State. My research job is fluctuating in and out of existence; I'm hoping I can get hours for sanitizing around the lab tomorrow if nothing else. Our gym has closed and they've effectively kicked most people out of their very expensive dorm rooms. Just thankful I'm in an apartment at this point
    2
  41544. Blonde Jeff Bezos. 😳
    2
  41545. So there is a reason why you pronounce the name Nicholas the way you do😂
    2
  41546. Ammm . Why math uses Greek letter s what's up with . That I mean they look cool . Maybe that's the thing.. is there any math class to learn all those letters or. I'm making things up?
    2
  41547. You should interview an applied mathmaticain on your chanel.
    2
  41548. Not fun at all.
    2
  41549. Love the idea of the rectangle!!
    2
  41550.  @TheMathSorcerer  it's linear algebra it is in my course.
    2
  41551.  @TheMathSorcerer  Thank you sir blessed to have a Prof like you 👏
    2
  41552. Learning all of the basic fundamentals and rules in math as you progress makes all of difference between success and failure.
    2
  41553. Please suggest book for 11th and 12th.
    2
  41554. Didn't expect Isaac Newton himself talking about this
    2
  41555. I was thinking in the same way!
    2
  41556. Dear Math Sorcerer thank you for the videos that you produce. Can you please give advice on why are certain degrees (for example Ph.D. in Pure mathematics, etc) are worthless when trying to find jobs? Data science and investment management seem to be new buzz words. People are not being taught how to create wealth in a meaningful way. We have been told that most people should rather focus on courses that teach them entrepreneurial skills instead of "Solve the following equation or solve for x" which leads to nowhere. Some people who have this type of qualifications feel that mathematics is just riding on the coattails of other more important subjects such as financial management, equity trading, stock brokerage
    2
  41557. Do you think that we can learn math by ourselves especially when studying the undergraduate-level math ? I am much aware that self-learning math might sound terrifying and time-consuming, but is it still possible ?
    2
  41558. Definitely possible! I have been self learning math since like middle school (finally onto undergrad stuff now). In fact, I believe the best way to learn math is to self-study. Of course, it is even better when you have people who you can ask doubts etc.
    2
  41559. Thank you! I will be careful with my time
    2
  41560. always love u
    2
  41561. From Isaac Newton to Jeff Bezos LMAO🤣🤣🤣
    2
  41562. Great pieces of wisdom. Thank you, sir.
    2
  41563. thank you, recently i failed in maths, so i go sad, and super depress, but now its time to work more harder, i will conmimment, 100 % thanks to you
    2
  41564. See you at PJ's prof.
    2
  41565. Okay, a quarter of the way through and I'm already lmao.
    2
  41566. "I have walked myself into my best thoughts..." - Søren Kierkegaard
    2
  41567. Quantity over quality
    2
  41568. Just purchase this book ! AMAZING
    2
  41569. bruh wheres the second point? when you say points, it means multiple ones
    2
  41570. Sir your lecture is very nice iam Pakistani when I watch your lecture I become able to full exercise of book
    2
  41571. Yes sir
    2
  41572. Thank you.
    2
  41573. Is that sooo..🙄🙄🙄. in India its diffrent sir.. y they make this maths feel bored I don't know.
    2
  41574. Thanks
    2
  41575. I am in my fifties and completed a PhD in Math but my day job has been to develop software without much mathematical contents. I never gave up learning more about Mathematics and Physics and in fact, I have way more fun doing this now because I am completely free in what I am learning. It is always good to select topics that are a bit interrelated though, because that way, you get additional motivation because you get to see more connections. When I decide on learning something, I try to stick to it and set a goal to be done with a book in x weeks to avoid jumping around too much. I usually don't read popular math or physics books because there is not enough meat in them for me. Solving problems is essential, I may think to have understood something just from reading, but usually I really get it only after having tackled problems and written down my solutions. Having the internet is immensely useful since you can compare your solutions with other's and sometimes, if you really get stuck, you can look them up. If you want to explore some mathematics on the side, just to mention 3 math books which are very enjoyable and include nice problems: Stillwell: "Mathematics and its History", Cuoco & Rotman: "Learning Modern Algebra", Weissman: "An Illustrated Theory of Numbers".
    2
  41576. thank you SOOO MUCH
    2
  41577. you looks like jeff bezo
    2
  41578. Thank you so much sir , this video helps me to understand this concept very well. Sir, can you make videos on properties of convergence of sequence or suggest me best video for this. Thanks again sir 😁
    2
  41579. Well, as the math sorcerer commented, it is your choice. You decide what´s important to you to work on for a given period of time. Include perseverance in your vocabulary and you will have half of the work done right away.... but life does not deliver any insurance or warranty, though. Good luck to Perseverance Mission.
    2
  41580. That was the course that did me in...different book, but same result. Didn't understand one iota.
    2
  41581. Great video, I did Southern New Hampshire University’s online BA in Mathematics and thought it was a great program for working adults and had solid core math classes like Real Analysis and Abstract Algebra. I definitely feel ready for grad school this fall.
    2
  41582. Thank you.
    2
  41583. I only have 2 weeks in winter vacation lmao
    2
  41584. If caught early and you are put on a ventilator with proper treatment the survival rate is much higher. See this video; https://youtu.be/okg7uq_HrhQ Also, I submit the longer you can go without catching it, your chances of survival will be higher as the pathology will be better understood along with likely effective treatment options. This is the "flattening of the curve" that is mentioned by some scientists.
    2
  41585. I don't know if it is the hardest, but I read somewhere once that architecture is the course which has the highest quantity of students with depression. So... since the course has this power over the students, maybe it is the hardest one?
    2
  41586. Awesome!
    2
  41587. Genius is 99% hard work. -- Linus Pauling, after winning his second Nobel Prize.
    2
  41588. Hello Mr. sorcerer i have started watching your channel few weeks ago, and i really love your content it motivates me a lots. There is something i want to share with you (its just my personal experience) I have graduated with mathematics as one of the elective subject 2 years ago but sometimes when i solve the math problems for my juniors ( who in high school) i find really hard to solve some of their problems (tough they are just simple problem with some twist). it doesn't mean i haven't tried at all, i gave my best with every thing i have (i have even read the books and solved examples solution page by page). Later when i am clueless, i checked for the solution on the internet and when i get the solution it makes me feel so sad and regret that i have to ask myself why this idea didn't came to my mind and it even demotivate me, i even feel shame why a graduate student like me can't solve a simple math problem for high school, i even start doubt on qualification and ask 'Am i this much weak? ' haven't you came across such experience. if so what do you do on such situation? please do reply.
    2
  41589. Thanks
    2
  41590. Thanks , keep up the great work💪💪🧙🏽‍♂️
    2
  41591. 2:42 I am taking Pre-Calculus and I prefer to take Calculus instead xD I'm annoyed that Pre-Cal is a huge review for me since the last two semesters I took College Algebra and Trigonometry. When my professor said this is important for Calculus or she'll say this is because of limits but that's for Calculus. I am very impatient and bored honestly so I picked up a Calculus book and found a great lecture series on Calculus 1 on youtube of course. 100% you have inspired me sir to do self study for Calculus. :D
    2
  41592. Thanks .
    2
  41593. عاشت ايدك تحياتي لك من البصرة
    2
  41594. 👍 thank you, hope I will be better in maths, was never good in any thing in my life. Time to change it.
    2
  41595. thank you very much for this! ❤️
    2
  41596. https://en.wikipedia.org/wiki/Dewey_Decimal_Classification
    2
  41597. DCT could mean dominated convergence theorem or direct comparison test.
    2
  41598. Thanks so much, 😅 you saved me!!!
    2
  41599. Working through some phys / math and on my evening break this popped up. Thanks for the kind words!
    2
  41600. Recently I started looking into the study of mathematics and had a realization of how lost I was. I knew nothing! Thanks to you I finally have a clear path to follow.
    2
  41601. I needed this video, thank you the math sorcerer
    2
  41602.  @TheMathSorcerer  I'm a sophomore math student and lately I've learned Python and built some simple applications and also I'm planning to learn more in the future that's why I asked the question I love both majors and I wanted to how much do they overlap
    2
  41603.  @TheMathSorcerer  Thank you very much for your help Sorcerer, I will do my share of research on discrete mathematics
    2
  41604. Great advice
    2
  41605. Great video, but I wanna see a girl
    2
  41606. Nick , recorded classes followed up by Q and A steams would be more efficient for learning.
    2
  41607. nowsaday people measure Success with a parameter called resources farming ability which is also mean money gaining ability
    2
  41608. that's impressive if that happened
    2
  41609. Hahaha 😂😂
    2
  41610. I'm just starting to learn math from scratch. Not saying that I didn't go to school or anything. Just want to brush up on the math skills that I couldn't understand clearly when I was going to school. I'm going into software engineering this coming year. :) I really enjoyed the video and could relate to it.
    2
  41611. These are my brothers
    2
  41612. <3
    2
  41613. Thank you so much for making this thought provoking video. It applies to all aspects of life. Learning and studying are about the only things that give me a positive attitude about myself. I will try to apply your video message to other aspects of my life. Thank you for all you do to help people with math and life.
    2
  41614. 🤔🤔🤔🤔
    2
  41615. Really honest and good advice, but you shouldn’t keep wild birds as pets. Sincerely
    2
  41616. awesome video 👍
    2
  41617. Congratulations, you are now my hero.
    2
  41618. That was just awesome 😎
    2
  41619. 1st
    2
  41620. more book please!
    2
  41621. So good
    2
  41622. You should take a look at “Fundamentals of Differential Equations” by Kent Nagle. I’ve been using it for self-study.
    2
  41623. Thank you so much for the video!
    2
  41624. But don't refund the rock!!! :(
    2
  41625. N J Wildberger is a good teacher. What do you think?
    2
  41626. I was very lucky in the job I had. I was part of a team of accountants, but made individual executive decisions regarding what I did with my time. Going out on audits, we'd pair up, but that was about it. Nothing to beat the 'sink or swim' of drawing up accounts for a client. The problems began when the Revenue Service took occasional exception to taxation matters I'd goofed on.
    2
  41627. Good video review, thank you!
    2
  41628. Like this comment as a petition to get Math sorcerer to write an official calculus textbook
    2
  41629. 13:03 Hah, "modern" computers
    2
  41630. Sir, you are indeed really great. Thank you. And, do you teach mathematics to middle and high school students, online or something.
    2
  41631. There is no finish...
    2
  41632. Brilliant video!
    2
  41633. my father have the same book
    2
  41634. Using imagination in maths can do magick.
    2
  41635. That was a great help! Thanks!
    2
  41636. Not a problem for me I just assume I am right like a true mathematician 😎
    2
  41637. There is no a calculus version. Baldor wrote three books on maths: Aritmética, Álgebra and Geometría. The last one has an introduction on trigonometry. Really good books.
    2
  41638. Thanks once again for the timely advice sir.
    2
  41639. A couple of "Life Changing" math books... 'Chaos the making of a new science', James Gleick. 'Black Swan', Nassim Nicholas Taleb If you've not yet met these topics, then your brain will emerge with entirely new foundations. Nassim Nicholas Taleb has some other books that I've not yet read, so he has probably repeated the process on related topics. The New York Times has a nice 'Book of Mathematics', with reprints of many important historical articles. Quite entertaining.
    2
  41640. Merry Christmas Math Sorcerer, I recently discovered your channel and your videos have inspired me to study math again. I'm odering this book because I appreciate what you have to say. Also thank you for your Spanish channel.
    2
  41641. Which areas of math (and which books for those areas) would you recommend for someone who's looking for a real intellectual challenge?
    2
  41642. Love your work, MS! Keep it up.Presently studying for the Civil variant of the P.E. exam. -Civil engineer.
    2
  41643. Thank You Sir Isaac Newton
    2
  41644. When you solve the first problem assigned that isn't in the answer key and are confident you did it right! Then, the next problem has to be conjugated and factored and has hieroglyphics the Egyptians never invented...you fill a whole page with sloppy but reasonable math, over and over again and still can't make sense of it because there isn't a single example in the book or on the internet that even remotely resembles this problem and you finally just say "F it" and turn it in blank and later, while you're are lying in bed questioning life decisions...it comes to you! But it's too late...
    2
  41645.  @TheMathSorcerer I got an 89! Thank you sir :D
    2
  41646. You’re so right. We math people, no matter what level we’re at, have a different view of what most people find, at best, bewildering but often as horrifying. I’ve always marveled at how it’s socially acceptable for people to say they hate math. It’s so cool to have you, Math Sorcerer, to remind us how rewarding it is to be part of a fairly select group!
    2
  41647. Keep calm and read ncert ....it's solution for every questions
    2
  41648. I think more it is about moral feeling. I can have C but I don't cheat. I will always be proud of me when I saw that C because I stopped the little demon trying to lure me. Or I can have an A that I instantly regret every time I see. Don't waste your lifetime memory on something like this.
    2
  41649. I thought this was so hard but its literally just moving stuff around ;-; bruh
    2
  41650. Thank you Math Sorcerer, this is true sorcery !
    2
  41651. what books here are recommended for an engineering student who wants to reset knowledge about maths.
    2
  41652. Jeff Bezos when he had hair
    2
  41653. I didn't know Jeff Bezos was a Math Professor
    2
  41654. I am lvl 0 because I haven't even memorized the multiplication table. I managed to get every single book from this video though!
    2
  41655. I respect anyone who likes a book so much they like how it smells
    2
  41656. Thanks prof. Math Sorcerer for this amazing playlist. Could you please tell me what textbook being used in this class?. Thanks ,
    2
  41657. eureka effect!
    2
  41658. I love you. You gave me hope that I can start from scratch. Pray for me
    2
  41659. THANK YOU
    2
  41660. I’m bribe myself with food during study and a great atmosphere -which actually does include fireplace!
    2
  41661. Un Clásico si, también en español.
    2
  41662. Thank it’s help me with home tasks
    2
  41663. :face-red-droopy-eyes:
    2
  41664. So, as someone with a Chemistry degree, I would say a lot of this extends into many fields of study. I got As in Organic Chem I and II and scored well above the average on tests, but that's almost solely because I did and re-did every single problem in the book there was. I bought the complete study guide with exercise solutions specifically for this, and it helped tremendously. There were times when I would sit down and just do O-chem problems for 5 hours straight. If you put in that amount of time and practice, it will absolutely pay off. Don't get discouraged if you don't understand things at first or while doing the hw the first time through. That's normal! Study, work as many problems as you can, and re-work problems when possible. Good advice here.
    2
  41665. This such a relaxing start to my day - thanks Math Sorcerer!
    2
  41666. I think the math wirh greek symbols is the smoothest equations ever invented by the greatness
    2
  41667. dislikes came from those who didn't learn math
    2
  41668. I love your videos... I wish I could take your class. I would love to have you my professor
    2
  41669. I like the Springer series math books. Or maybe its just I like the color of the books.
    2
  41670. Someone told me that one of her college math teachers used only letters in her equations and solved them like they were numbers. Is that really possible?
    2
  41671. Aerospace Engg?? 💀💀
    2
  41672. What is the best book to self-study functional analysis?
    2
  41673. Level 999 decoding algorithm of life...
    2
  41674. I don't know about reading a book from a brokie
    2
  41675. hey please keep making long videos (would be awesome if the motivational videos where ur just talking to the camera were longer... like 10-15 mins rather than 2-3 mins) No joke, I really like keeping ur vids on while im trying to fall asleep!!
    2
  41676. you math people think you're so good, with your numbers and such
    2
  41677. At Lehman College, sociology is a 30-degree major. Math is a 44-degree major. I wanted a quick route out of college. The quickest route is not always the best.
    2
  41678. Abusive notation
    2
  41679. your proof is great - but your video title is the reciprocal of what you're proving in your video ...
    2
  41680. I started thinking seriously about math a little after I started thinking seriously about physics, when I realized I needed a lot of math for that. This was at the start of high school. Btw perfect musica in the background for this kind of video
    2
  41681. man, you are a really good professor
    2
  41682. Jesus Christ, that maths bookcase of yours is absurd
    2
  41683. whats my youtube algorithm telling me. I don't like math and skip thru these type of videos
    2
  41684. "Maybe you have friends" That's quite a bold assumption right here
    2
  41685. Thank you for the great video! The book saying it is a better method is a bit misleading as it is a rearranged quadratic formula, which had been used for over a century at the time of this book's publication. The 4a was the dead give away. I think this technique is a great method to remember the proof of the quadratic formula.
    2
  41686. Please make a video on your collection of calculus books please.....
    2
  41687. Mate is great! Hard to find good devices to prepare it with here though, it falls through a lot of tea strainers
    2
  41688. Wow i would hace nevera though you guy knew about it lol
    2
  41689. IQ is pseudo-scientific mumbo-jumbo.
    2
  41690. The guy's eye contact game is on another level...
    2
  41691. Do you have any advice on how to not spend too much time on a particular problem? I think I waste too much time, but in doing math unproductively instead.
    2
  41692. are you sure Trump wasn't involved somehow? he's behind every conspiracy..or so the media would have me believe.
    2
  41693. Will be purchasing these in bulk.
    2
  41694. I am in 8th grade should I buy this
    2
  41695. Sometimes they sell study books with even questions
    2
  41696. Thank you for this. Future Civil Engineer here, I love Mathematics and I am so hungry for this
    2
  41697. The author is famous
    2
  41698. Thank you so much!!!
    2
  41699. Hi math sorc, a specific question about topology courses in general, do you guys learn to prove tychonoffs theorem in the first semester or is that a second semester thing?
    2
  41700. Can you make a video on number theory
    2
  41701. Wylie is the city I use to live in Dallas suburb😂😂😂😂😂😂
    2
  41702. I like this omg
    2
  41703. Thanku Sir 😇
    2
  41704. Really, really good videos!! Not sure who he is, but very good advice.
    2
  41705. ♥
    2
  41706. keep up the great work sir
    2
  41707. Very Good Advice. The fun part was the struggle.
    2
  41708. Thank you I need this
    2
  41709. Do you have any opinions on Mathematical Methods in the Physical Sciences by Mary Boas? That’s the textbook for a Mathematical Methods in Physics class that I’m taking. Are there any other math methods books that you would recommend?
    2
  41710. Does infinity have a "finish"? 🤔 😏
    2
  41711. this guy’s funny :)
    2
  41712.  @pinklady7184  good advice, thank you
    2
  41713. Thank you so much!
    2
  41714. The way he's holding the pen while writing is making me incredibly uncomfortable
    2
  41715.  @TheMathSorcerer  looking again,is also a mathematical step ,it works
    2
  41716. This is helpful, thanks :D
    2
  41717. It seems like good book💯🔥❣️
    2
  41718. From experience Alphors is murder!
    2
  41719. Like he says it's not so simple, and I think it's because there is a cost. To me, the cost is losing yourself. The challenge, is how to preserve your own way of thinking, and not rewire your thinking. Mathematics should be a light for your own processing and interpretation; especially with respect to the world around you. At times it likens more to a periscope than a light, and if you stick with it long enough the net of all the periscopes is effectively a "light"... But there is a better way... Unfortunately the better way is individual. So ask: ask what is the most insightful thing you know, then where is the analogy to this in mathematics, then how can you use it to explain what you are specifically trying to learn. But it's important that you study yourself, so that you can do this. Best I can come up with 🤷‍♂️
    2
  41720. Love You Man, You are literally saving my ass hahah
    2
  41721. Very useful to me Thanks.
    2
  41722. Thank you so much for help
    2
  41723. the real crime is how the pen is being held
    2
  41724. I play basketball for fun and I really like this idea
    2
  41725. There's a finish?
    2
  41726.  @TheMathSorcerer  hey, do u think there is a huge overlap between calc2 and 3? What are some key concepts that I should be able to handle before going into calc3? Thanks in advance:)
    2
  41727.  @TheMathSorcerer  aww thanks for your recommendation
    2
  41728. شكرا 👌
    2
  41729. Four hours later ... (jk)
    2
  41730. THANK YOU!!!!!!
    2
  41731. thank you so much
    2
  41732. I want to be unstoppable at math please help
    2
  41733. Haha
    2
  41734. Thanks
    2
  41735. Really helped thanks!
    2
  41736. ❤❤❤❤😏😏💙💙💙💙💙💙🌸💗💗💗💗🌹🌹🌹🌹🌹💋💓😐😐🌷🌷💋💋😁😔😔😔😁😏💔💔💔💔💔💔💕💕💕💕💕💓💋
    2
  41737. Answering the question: yes, it does. Ive failed many math tests during my first semester (or more like, I didnt get too many points). This fueled me with anger, which made me prepare in advance, so that I wouldnt fail again next time. In my 2nd semester, I failed one of the math subjects. Fortunately, I got the signature, so I had to only do the exam again. During the break, I managed to reach out for a maths teacher, who helped me understand many things, which I didnt previously. Thanks to him and my own efforts, I got a 4 (grade B), which now raises my current semester grade mean.
    2
  41738. Yeah... Need to study some optics in order to make a better choice of lens...
    2
  41739. How cold is it where you live?
    2
  41740. omg best
    2
  41741. awesome!
    2
  41742. table could be smaller mate
    2
  41743. omg this helped me alot especially in memorizing Laplace independently from the table and fast thank you
    2
  41744. i love your motivation man
    2
  41745. LL.D. means Doctor of Laws and it is an honorary degree.
    2
  41746. Math and physics students are the most environmentally unfriendly students. One late math prof once told me he uses 100 sheets of line papers/day everyday for doing his math. He must go through reams and reams of paper.
    2
  41747. So really silly question… but which area of maths is this? Is this considered proof writing, and proving the given function is not a linear transformation? Would this be Lin alg?
    2
  41748. This guy has finished math? Sweet! Can you please post the calculation for warp drive!
    2
  41749.  @TheMathSorcerer  dang well at least we still got Zefferam Musk 'you know what my vision is. Dollar signs'
    2
  41750. Well we can categorise math difficulty into 4 categories. And advancing to the next category involves a jump similar to the jump from precalculus to calculus. (1) High school math - up to precalculus (2) Basic university math - Calculus 1, 2, & 3, linear algebra, differential equations, complex variable calculus, probability, statistics, discrete mathematics, numerical methods. (3) Intermediate math - Real analysis, mathematical logic, abstract algebra, topology, differential geometry of curves and surfaces, functional analysis, partial differential equations, probability and measure, Markov chains, general linear models, number theory, graph theory, combinatorics, optimization. (4) Advanced math - Computability theory, model theory, axiomatic set theory, proof theory, category theory, commutative algebra, representation theory, operator algebras, variational calculus, integral equations, inverse problems, differential geometry on manifolds, Lie groups and Lie algebras, algebraic topology, algebraic geometry, quantum information and computation, etc
    2
  41751.  @TheMathSorcerer  thank you sir
    2
  41752. I am glad I did not watch this.
    2
  41753. Really good video. Never thought of it like that.
    2
  41754. Helped me a lot in divergence theorem
    2
  41755. Helpful!!!
    2
  41756. Just graduated EE. This looks like a good book. Fun hearing about these topics from a purely math perspective.
    2
  41757. Yay, a new vid!! The mir book I ordered finally arrived today!!! Also I would love to see you do more videos where you give advice!!
    2
  41758.  @TheMathSorcerer yes I got it for only 17€ in perfect condition!!
    2
  41759. I deeply appreciate the insight from this video.I will definitely incorporate these ideas when I study.
    2
  41760. thanks for your persistence every fractional digit matters in deviation
    2
  41761. Before applying to others,we must keep in mind that they would do the same when we will be in trouble. So only apply if you think yourself a math genius
    2
  41762. Very nice lecture i watch again and again
    2
  41763. When a dog bites you,you become afraid of dogs you don’t just walk up to the next dog and start petting it.
    2
  41764. You can be "YOU " , try to become better you......... great words. I think this will inspire many. Thanks a lot.
    2
  41765. I'm just a 10th grade student so I didn't understand a bit.
    2
  41766. thats an odd title of video!
    2
  41767. I thought he was going to pull out spivak
    2
  41768. A person who only knows addition, substraction,multiplication, division, and a little elementary geometry and don't want to learn all these , does he/she has any chance in this world?
    2
  41769. LOL Geometry is the redhead stepchild of mathematics in this video. Sad considering maths of the greeks what built on measure and geometry.
    2
  41770. No worries my time line on marriage is when i reach the age of 40 so im gonna do this. Im thinking of finishing my 2nd degree not start a new one.
    2
  41771. You finally got the camera angle right ;) hahahahha
    2
  41772. Hello again Mr.Carradine
    2
  41773. Amen
    2
  41774. Stop trying to understand why mathematicians look like broke hobos saving money by not going to a barber 😂
    2
  41775. My family may not understand my computer science and math studies , but at least I'll go to sleep knowing.... Dude I don't either and my pants are covered in eraser dust.
    2
  41776. I didn’t think YouTube allowed the showing of guns on their platform.
    2
  41777. ..and the homework..uh..is just..a thing that exists.
    2
  41778. Is it me or he metioned 'This is the book about algebra' in 90% of the books?. Also what's with the forest and trees on maths books that I never understood.
    2
  41779. 1st view
    2
  41780. mine did too.
    2
  41781. Thank you. I shall honor your teachings🙏
    2
  41782. thanks!
    2
  41783. This book costs more than my monthly scholarship
    2
  41784. Great explanation! Thanks.
    2
  41785. Does our educational system prevent Mathematical Happiness ? I had a high school mathematics teacher who always was telling us to "play with it" when we got a new concept. He was a rarity. He inspired us. In fact there are always new attempts at teaching mathematics. The latest is Common Core. But is not the first. There was also SMSG (School Mathematics Study Group) which was a think tank that came up with New Math. And then are our advanced degree programs worthwhile ? Or do they only attract certain people and hinder others. For example in a book on Ramanujan that had a short biography of G. H. Hardy in it pointed out that Hardy had a Masters but no PhD, neither did Bertrand Russell. The book pointed out that the PhD was a German invention and English universities didn't offer it until later. In fact Cambridge awarded it's first PhD in mathematics in 1924. Oxford was the first UK university to offer a doctoral degree. The book about G. H. hardy said that the reason English universities began offering it was that foreign students from the USA brought a lot of income due to tuition fess. And Americans were preferring German universities because they wanted the status that the PhD brought. This is sad. Are we leaving many talented people behind by our policies. I was told that Google did a study and there was no correlation between successful employees and whether they had an advanced degree or went to a famous school like Stanford or Harvard. When they examined the issue deeper they found that the people who were successful were people who loved solving problems while the people who had been awarded advanced degrees or went to a name university were people who were attracted mainly by status.
    2
  41786. oh was there a mistake where you forgot to square the z+3
    2
  41787. I can't anderstand any thing
    2
  41788. Hey, I just watch a video you uploaded a year ago about learning math by yourself with books, do you think I'll could learn math by myself but from the internet?
    2
  41789. Sir...Please suggests a best book for algebraic topology
    2
  41790. Wow ..I love your explanation
    2
  41791. Just purchased your differential equations course!! no giving up on maths, only on the mindset that has kept me back!
    2
  41792. Nice pencil!
    2
  41793. Vengo del canal en español, escucharte aún en otro idioma es como hablar con un amigo, gracias
    2
  41794. thanks a lot
    2
  41795. I completed through multi variable calculus in college years ago and decided to start refreshing. Starting again with basic algebraic functions, lol. I’ve gotten a handful of free books, as people retire at work they put books they had in their office out for free.
    2
  41796. I can assert that it's all correct
    2
  41797. BAHAHAHAAHAH loveeeee ittttttt
    2
  41798. This was good!😀 made me smile.
    2
  41799. This is inspiring. Thanks for giving your backstory.
    2
  41800. Tooooooooooooooppplll
    2
  41801. Many thanks from Argentina!
    2
  41802. Legit question. If all I do in everyday life is satisfied by basic algebra and lower math, why should I learn more.
    2
  41803. The video title should have been “You shouldn’t C this”.
    2
  41804. Thank you
    2
  41805. Thanks for sharing! I’ve been struggling to finish grad school. It’s encouraging hearing keep going. Thanks
    2
  41806. How many blinks per minutes?? I wanna learn that technique.
    2
  41807. Math asmr?
    2
  41808. 1+2 hahahha you're making me like calculus 3 my teacher is so bad .... thank you soo much you make me laugh
    2
  41809. Today at my Pre-Calculus class; people thought I was "smart" because I knew what I was talking about when we were working in groups. All I did was watch the assigned lectures and take the notes. Some of them just DIDN'T DO IT xD.
    2
  41810. taylor was dead before maclaurin was born
    2
  41811. Great! I like your approach
    2
  41812. I love the book even douh it's all GREEK TO ME..😄😄😄
    2
  41813. The most amazing timing:)
    2
  41814. Thanks for this. I watched this the moment im struggling answering my activities in DE, btw atm haha. This helps🤍
    2
  41815.  @TheMathSorcerer  Thanks!!! Calculus is love❤️
    2
  41816. @Coffee Confessor, your affliction seems to be common. I am able to do the algebra. However, I have difficulty adding and subtracting figures.
    2
  41817. Me watching this video while finding inverse of a matrix😭😭 us bro us
    2
  41818. Awesome! More vids like this pls
    2
  41819. On the math side I'm taking Advanced Calc 2 and Abstract Algebra 2. On the ECE side I'm taking Digital and Analog Filters, Machine Learning, and I'm also doing my senior design project. Should be lots of fun
    2
  41820. any experience with thomas calculus?
    2
  41821. Finally
    2
  41822. Thank you. So easy to understand.
    2
  41823. Any thoughts on “Understanding Analysis” by Stephen Abbott?
    2
  41824. Would you ever consider starting a discord server so we all could talk about math?
    2
  41825. can’t afford college so I’m doing spivak 4e on my lonesome
    2
  41826. Hey, it’s Jeff bezos brother
    2
  41827. Would also get regret of having regret so better not have regret😂
    2
  41828. Life saver
    2
  41829. Thanks
    2
  41830. Gracias, saludos desde Colombia
    2
  41831. Time and good sleep. And some people are opposite : even if they learn and understand something, theyll forget everything as if they never have learned it, if they dont refresh it periodically.
    2
  41832. I hate that I know every single problem mentioned in the video.
    2
  41833. primer comentario
    2
  41834. It was good at mathematics till the letters joined the numbers in it.
    2
  41835. i am studying in grade 9 and i am weak in mathematics can you suggest me a free book available in internet bcuz i live in Nepal .here education system is not advance than other country
    2
  41836. I love you found your passion and all you want to do is help others stand on the shoulders of the giants that came before. Much love
    2
  41837. @TheMathSorcerer Let me start off by saying thank you. Your lecture videos for differential equations have really helped me in the differential equations class that I am currently taking. I was wondering if you had any videos from chapters 7.2-7.6 that you can upload to your YouTube channel. My current professor is foreign and sometimes I can barely understand him and the way he puts things doesn't make sense to me every now and then. Your lectures have really helped me understand points that I didn't understand in class. If you have lecture videos for chapters 7.2-7.6 it would be greatly appreciated if you can please upload them.
    2
  41838. thank you
    2
  41839. finally
    2
  41840. That book that Ramanujan borrowed from a friend must have triggered some latent abilities in him and ignited his latent love for pure Mathematics.
    2
  41841. Steel-cut oats
    2
  41842. The "conceptual move, not an algebraic one" really hit home, hard.
    2
  41843. Thank you Sir.👏
    2
  41844. nice content
    2
  41845. Thanks!
    2
  41846. Thank you for this video. This actually helps us out a lot.
    2
  41847. "Let's skip the algebra and focus on the Calculus, this is a Calc class after all!"
    2
  41848. Do you recommend any books for Probability? Just started taking it at UCSD and my lack of statistics/discrete math is weighing me down :(
    2
  41849. This explains what im going through right now, youre a legend
    2
  41850. It's ironic, I believe you had mentioned in a prior video how you felt yourself as being " average ", perhaps I'm thinking of someone else but jeez you're cuban? That's so cool, you truly fooled every single viewer hahah. Love your vids man, thanks for making them :)
    2
  41851. I really want to qualify for AIME. :>
    2
  41852. Thank U so much Master.
    2
  41853. Hey professor, what kind of equipment do you use to record your math videos? I'm specifically asking about your Khan Academy style videos.
    2
  41854.  @TheMathSorcerer  thus every good mathematician has to have some historical knowledge 😁
    2
  41855. Is it me or a lot of books start with set theory? lol
    2
  41856. I am using noise canceling headphones - the ones that covers all my ears - and this helps me to concentrate a TON. I can only fell the pencil and the paper but not hear a single soul. About the computer, its only with the website and my questions about the subject - belive me, to achieve this I got distracted A LOT but now I am really fine. But still watch myself if I open a blank tab without any need, this is normaly a red flag for me and just close it.
    2
  41857. Thanks for doing this! Cheers!
    2
  41858. 👨‍🏫👨‍🏫👨‍🏫👨‍🏫👨‍🏫👨‍🏫👨‍🏫
    2
  41859. Analysis II exam on Monday. I wouldn't be ready without you. Thank you so much for... For being you actually! You are A M A Z I N G.
    2
  41860. Good informative
    2
  41861. I still have my copy….
    2
  41862.  @TheMathSorcerer  thanks sir I follow u a lot sir and can u give me some tips I am at my 1st year of college doing honours at maths
    2
  41863. is that bongo a feynman inspiration ? hahahaa
    2
  41864. Thanks a lot.
    2
  41865. India and Russia is it?
    2
  41866. Take frustration as a sign to focus and master the topic at hand before moving on.
    2
  41867. You're good at this game, do you still play league?
    2
  41868. "Lets do a homo" 19:06
    2
  41869. Obrigado
    2
  41870. THANK U SM!!!!!
    2
  41871. It's been nearly 6 years of my college left BUT I still wated to learn Mathematics again. But I am feeling like I am lost. Any suggestions for me please ?
    2
  41872. Is it sad that I’m 22 and I’m now fascinated with education. I was loser and messed up bad in highschool, drunk and high asf all the time, never at school. I feel like I wasted my life
    2
  41873. El que madruga, Dios lo ayuda Personally, I do my best math when I get a detailed agenda of work and I force myself to do that problem
    2
  41874. Do you know any course or any videos where i can learn about Mathematical analysis, i'm studying software engineering but in Russian language, and i need an english sources so bad. But i'm not finding any so far "videos i mean" thank you
    2
  41875. thank you so much for your video. i am struggling so much in math and physics. i am contiguously depressed all the time. seeing all my friends progress faster i though i was dumber than them. i also thought i wasn’t capable enough to study science and thought about quitting. but i kinda liked science than other subjects. after watching your video I'm motivated again. maybe i just learn slower. I'll work harder😊
    2
  41876. Im a Cs major in aristostle university of thessaloniki and from the first semester we jump directly into calculus 1 (mathematical analysis 1) We dont have any precalculus or trigonometry classes because we did calculus 1 and precalculus in 12th grade and precalculus in 11th !
    2
  41877. It’s all work and effort. U can do it !
    2
  41878. Hey man I rarley ever comment on any youtube video but I have recently been doing pretty bad mentally because of my math classes. This video has helped me a lot. Thanks!
    2
  41879. Good evening ！Sorcerer ❤，I've just finished my math study。
    2
  41880. I don’t know math but watching this stuff...I wouldn’t mind learning.
    2
  41881. May I put in a request for some math books I'd like so see reviewed? The first five might be interesting for your viewers, but the rest are real University grade books. On the other hand, at least Feller and Karlin smell amazing! Tenenbaum/Pollard, Ordinary Differential Equations (Dover, cheap, lots of solved exercises) Polya/Szego, Problems and Theorems in Analysis I + II (classic, Exercises + Solutions, but mathematically rigorous ) Lipschutz, Differential Geometry (Schaums) Kay, Tensor calculus (Schaums) Logic (Schaums, imhothe best intro to logic ever written) Feller, An Introduction to Probability Theory and Its Applications I + II, (Wiley, expensive, but a real classic and my professors once told me they learned with this book, for some reason it's said it has an "intuitive" approach) Karlin/Taylor, First Course in stochastic processes (and part two, classic) Lyndon/Schupp, Combinatorial Group Theory (Classic, maybe too special...) Spivak, Calculus on Manifolds (if I remember correctly, its a necessary read before the next books by this author) Spivak, A Comprehensive Introduction to Differential Geometry I - V Arnold, Mathematical Methods of Classical Mechanics (Classical mechanics, but with manifolds and stuff, maybe too special...) Yosida, Functional Analysis (classic, but I have to confess, this is heavy stuff, kind of a handbook, as if it was written by a German, maybe too special...) Murray, Mathematical Biology I + II Dugundji, Topology (classic, was suggested by one of my professors, but warned me, it contains research problems just mixed into the normal exercises :D)
    2
  41882. What if it's an exponential function?
    2
  41883. hi! can you please recomend books of general physis the first year of university?
    2
  41884. Física universitaria Sears
    2
  41885. I am so buying this I want to learn to program and I am really bad at math ... :D I think i just never tried hard enought
    2
  41886. I have got one, bought in 1985
    2
  41887. Hahah what a fast reply
    2
  41888.  @TheMathSorcerer  I have one doubt what is meaning of lol
    2
  41889. Doing more than 2-3 maths subjects at a time? I am moving to Nis, Serbia in the next few months. At Uni Nis, their maths program consists of 27 subjects, all of which are maths only. It is a preset program, so if I continue with my maths degree, once I've settled and learnt the lingo better, I'll be doing 3-4 maths subjects each and every semester and European education standards is darn tough......they don't screw around, so I'm in for a fun time if I decide to finish off my maths degree....and that is over 4 years, not 3. Oh the fun I have to look forward to hehehe Absolutely despised combinatorics in high school. Now I think i'd be better at it. Proof by induction i never got either and till at age 53, in 2 weeks time, I still don't get it, yet admit, haven't done more study into it, or very little. The whole n=k is cool, yet got very confusing for n=k+1 onwards......
    2
  41890. differential asmr
    2
  41891. TNX.THIS A NEW IDEA
    2
  41892. thank you so much
    2
  41893. The hypothesis that answers are omitted so that students do not simply copy the answers on assignments makes far more sense. The notion that the best way to learn is to bang your head against the wall, never knowing whether you are closer or further away from a solution does not make any sense.
    2
  41894. which textbook is being used?
    2
  41895. ty I need this❤😊
    2
  41896. You look like Newton for some reason
    2
  41897. LMAO
    2
  41898. Si il vous plaît prof🙏🙏🙏 comment va calculé l'intégrale de cet formule dx/x√lnx liborme entre 0 et e
    2
  41899. Don't smell it on camera! 😅
    2
  41900.  @TheMathSorcerer  i'm not a teacher(yet)...
    2
  41901. What about NuMbEr ThEoRy;) BTW perfect video... Keep going 🌹
    2
  41902. He sounds like nic cage
    2
  41903. What books would you recommend for a person who hasn't taken a math course in about a decade and wants to learn algebra 1,2 and trigonometry. So I can eventually work my way up to intermediate Calculus courses?
    2
  41904. This hyped me up for taking Advanced Calculus this Fall. I'm ready to get destroyed!
    2
  41905. You also got to include trader fees and taxes from the money you made.
    2
  41906. Please review the NCERT books
    2
  41907.  @TheMathSorcerer  thank You sir, Respect 💯
    2
  41908. A loto of thanks for the advices! I am EE too and new subscriber, each video That I have watched is helping me to get a better understanding about math. Tanks! Greetings from Nicaragua.
    2
  41909. We do not need to study Mathematics. Just open our eyes and see how it is. Even our breathing is also mathematics. You can draw a graph with that. Try it!
    2
  41910. Your words really made something move inside me, thank you.
    2
  41911. 👍
    2
  41912. First view from KSA ,, Best regards prof.
    2
  41913. Clever! I always jump straight to the chen lu 😅
    2
  41914. Yup, this was my text book in 1980.
    2
  41915. I used it in 1979. Boyce and DiPrima taught at my university. My roomate actually had DiPrima as his DE prof.
    2
  41916. I had a Dr Rion for ODEs. Kinda reminds me of him. Phenomenal professor.
    2
  41917. Does this man look like Newton or is it just me?! 😂😶
    2
  41918. This video is SO valuable. Thank you so much for making it. Just my 2 cents, wrt to proof writing, I think I really benefitted from Velleman's "How to prove it" 😊
    2
  41919. where did you get the table from?
    2
  41920. Thank u so much
    2
  41921. Just about to give up after watching "Four Traits of Successful Mathematicians", why do I still click into this video? I am bone idle, I don’t want to work hard anymore, and now very struggling whether or not I can manage to be slightly more diligent to get through it :(
    2
  41922. Hey Dr. Sorcerer! I read that you can earn a masters in physics with a bachelors degree in math. I might wanna focus on applied math as a major and perhaps minor in physics. Is this true? I prefer physics but am doing math (for career reasons). As someone who’s going into math but may want to get into physics far into the future, do you have any advice/sorcery I may behold?
    2
  41923. Thanks 😊 sir I will derived from this concept the x^n
    2
  41924. Awesome explanation. Always appreciate good work.
    2
  41925. thanks for this, i hope this second quarter I won't rely on my classmates but on myself more.
    2
  41926.  @TheMathSorcerer  NP you helped me a lot with understanding the harder math. Thank you for doing what you do!
    2
  41927. A great vid as always
    2
  41928. i think everybodys lonely bud. the imperception of humans- here, to think that they or their group are the center of the universe(tbf that is true for their own perceptive system,yet not the reality), is what keeps us grounded and in these states of misery as a society. Also i think everybody is a math person, just that life makes some like it and others run away from it. But as long as you are a human, you are the part of every group formed around things made by humans. I suppose i didnt have to write this comment, but every once in a while i cant hold back and have to impart my view of the world to someone who i think is kinda sorta in a delusion s to the nature of existence and suffering.
    2
  41929. I’m a student from South Korea. Thanks for your all good advices
    2
  41930. I follow this guy, for some reason, but this is the best advice he has given. I think it applies to just about anything, except women. Math will never solve that equation.
    2
  41931. 👍👍👍👍👍
    2
  41932. Wow fantastic
    2
  41933. Very useful !
    2
  41934. i needed this pep talk thank you
    2
  41935. Trust me, your handwriting is not good at all. . .
    2
  41936. Calculus without trig is like non-alcoholic beer, i.e. what's the point? :)
    2
  41937. Thanks for video. Have you read Multidimensional Real Analysis by Hans Duistermaat, if so would you recommend it after completing a real analysis course or is more background needed?
    2
  41938. Eveey point was gold, point 12, risk taking, is what I need to learn.
    2
  41939. Big fan of you sir.
    2
  41940. Very nice explanation ❤️
    2
  41941. ok bezos
    2
  41942. I always felt math was super interesting, but I never got it. I got geometry though... Guess I'm more of a visual learner, but the educational institutions don't care about tailoring the learning experience. Needless to say, I fell off the wagon quite early.
    2
  41943.  @TheMathSorcerer  Always ready to learn new things.
    2
  41944. Thank you!!
    2
  41945. Awesome explanation!
    2
  41946.  @TheMathSorcerer  they have great content
    2
  41947. Thank you sir
    2
  41948. 🎉Thank you so much‼️
    2
  41949. thats awesome
    2
  41950. Love your content! Pls keep it comming 😊
    2
  41951. third week into my cs and this video dropped, thank you for blessing us math sorcerer🗿
    2
  41952. ❤
    2
  41953. There's also a lot of "tricks" (one learns by being lazy (or smart)) to do things with speed. For example, if you're doing probability then a great way to check if you didn't make mistakes is to sum up all the probabilities in question and confirm it adds up to 1. Or, if there are a lot of multiple-choice questions on the test, it's often easier to eliminate options then to work out the correct option.
    2
  41954. if (a + b)^2 = a^2 + b^2 was a person.
    2
  41955. So??? Calculus is not higher math????
    2
  41956. what a legend hey
    2
  41957. This is great work ..!
    2
  41958. "You don't have to believe in God, but you should believe in The Book." ~ Paul Erdos Proof-writing is a skill which can be improved by: 1. writing lots of proofs and then verifying them-- reflecting on the steps; and, 2. going through good proofs -- Paul Erdos, a great mathematician of the previous century had this idea that God keeps the best proof for a theorem in a special document called "The Book". Most of the classic mathematics textbooks aren't so famous because of their contents/coverage, but because of the unique proofs they contain.
    2
  41959. You should make a list with books on every level and topic with full solutions. I am sure that such a video would do well. Plus you can link them in the description.
    2
  41960. How long did it take you to notice the bird?
    2
  41961. Give a hard job to a lazy person and they will find a smarter way to do it.
    2
  41962. You helped me solve my first inequality proofs. I thought this was the end of the road. It took weeks and longer it ought of, but finally something over the past days just clicked!
    2
  41963. Sorcerer powers seem to growing he is growing brighter everyday
    2
  41964. 🚨🚨Why your room's wall is un polished 😅??
    2
  41965. I don't know how great a mathematician this guy is, but he speaks well and has a nice voice.
    2
  41966. #consistent_mathematics
    2
  41967. I have yet to take Calc 3, but Calc 2 is the toughest math class I have taken thus far. The techniques of integration was the most brutal. Disk, shell, and washer method, and area between curves is easy if you know what you’re doing and have practiced it a lot. Sequences and series aren’t too bad, but some were tricky. Techniques of integration is the HARD part of Calc 2. Integration by Parts, Trig Integrals, Trig Substitution, Work problems, Partial Fraction Decomposition; that’s the hard part of Calc 2! I had to take Calculus 2 twice. That was not fun, but I’m glad Calc 2 is in the rear view.
    2
  41968. I really really really (infinite times really) your video, my FRIEND. 😊🥰😀❤️
    2
  41969. 💛 it's about creating urself Thank you Friend 💛🧸
    2
  41970. I started studying Physics a year ago and I was so frustrated. The math was so hard and so different to what we were taught in high school. I got bad grades and never learnt anything. Yet I got fascinated by the beauty of problem solving, which still keeps me from giving up despite not being quite good at math haha :D
    2
  41971. I believe the “Gold” standard” to be used in determining whether one truly understands the most fundamental Notion in all calculus (Limits) is professor McSquared.s Calculus Primer. It was written for a different era of calculus student- I seem to have started reading this book a few years before the math reform “ era. It is explained in a very rigorous and delightful way the “Epsilon/delta” definition of limit and has lots of problems explained in great detail. The book is that very part that today’s development leave out .Don’t be fooled by the amusing way he explains via arguments between cartoon characters...I taught college level calculus for 25 years and i got into all sorts of discussions with colleagues about what should be considered important in teaching calcI. If ur answer is anything besides Rigorous ma then avoid the book. This book teaches very exact Notions of calculus. I read the book a year before I begged into the course. This was my favorite part of the course. When ppl started telling me that this stuff was old school, I could hardly believe it.!! Basically , I was told I should avoid this aspect of math or risk not getting tenure. The book was by Swann and Johnson and I don’t know if it’s in print still....you might check the National archives at archive.org or archive.net or....some other place lol
    2
  41972. I spoke too soon-still in print!
    2
  41973. Hey Love your vids!
    2
  41974. Ignore my name,I'm a male and I'm glad to see someone else has tons of books even in foerign languages.I have math books in Spanish and french.Beinng Romanian I can understand those languages.I follow your videos and try to stick with one book per subject since I find very upsetting that sometimes I just bounce arround many books and not finish a task.
    2
  41975. Thanks, master.
    2
  41976. Haha glad I'm not the only that smells his books
    2
  41977. This is a must read book for me
    2
  41978. thank you!! also the cute little smiley at the end 😂😂
    2
  41979. Strange things occur if you stopped play leuage if legends for 14 days :D
    2
  41980. This is what i needed today! Thank you so much.
    2
  41981. Thank you so much
    2
  41982. Great service thank u sir
    2
  41983. Just bought this edition, used hardcover for $7.38 on eBay
    2
  41984. This video has 1M views, now! 🌟
    2
  41985. What works for me is a 4 miles walk taken around 0530 in the morning.
    2
  41986. How do you write like that? i can't even write standing perfectly.
    2
  41987. Mir publishers was very popular in India. We had many cheap math books thanks to them
    2
  41988. 👈👈😚 good
    2
  41989. Cognito ergo sum.
    2
  41990. Thank you so much!
    2
  41991. This is the most helpful video on the internet
    2
  41992. I thought Advanced Calculus
    2
  41993. "Real analysis can be considered as a more advanced and rigorous version of calculus. While calculus primarily deals with techniques and methods for computing derivatives, integrals, and solving problems related to them, real analysis delves deeper into the theoretical foundations of calculus. Real analysis focuses on the rigorous study of real numbers, sequences, series, limits, continuity, differentiation, integration, and more. It involves proving theorems and establishing the precise mathematical underpinnings of the concepts encountered in calculus. So, in a sense, real analysis builds upon the concepts of calculus but with a greater emphasis on formal proofs, mathematical rigor, and deeper understanding of the underlying principles. It is often considered a foundational course for many areas of advanced mathematics and theoretical physics."
    2
  41994. They're two different names for the same thing.
    2
  41995. Is there a place, I can look online that has different problems everyday for algebra practice? This so I can remember what I have learned? I just don’t want to be in Calculus one day and a professor ask a question about Algebra that I may forget. I have a grasp of it. It just don’t want to be asked in front a class, “Quick! What is an example of a contradiction equation.” Or is this scenario that probably want happen?”
    2
  41996. This is Calculus.. 7 😂
    2
  41997. Profs like this are one of the reasons I couldn't keep up with the math classes at uni and had to drop out.
    2
  41998. Good video! Thanks.
    2
  41999. Does he have an onlyfans?
    2
  42000. I WANT TO RULE THE WORLD. best of luck for everyone else
    2
  42001. Please do a math comedy again ...I've watched your entire stuff
    2
  42002. Thank you so much for this!!! I’m a college student that was taking real analysis, complex analysis, and abstract algebra, with a writing intensive course. All those classes combined, was way too much for me. Especially since I work. The class I dropped was real analysis bc it was eating up most my time. I’m sad I wasn’t able to finish it this semester but hopefully next semester I’ll be able to take it with less of a workload. I’ll def be looking through your vids in preparation! Flawless teaching!
    2
  42003. how did cos turned into sec??
    2
  42004. Secx is equal to 1/cosx
    2
  42005. first places here!! thanks for sharing!!
    2
  42006. You forgot the inters and hackers
    2
  42007. This is the great advice i have ever seen!
    2
  42008. THANK YOU SO MUCH 😩 you saved me lol
    2
  42009. This guy look like newton his hair and face 😂
    2
  42010. At least, what I've seen, in US calculus 1 and 2 seems "easy" because you don't see proofs (I'm not sure, but watching the syllabus from harvard I got to that conclution), and you start seeing proofs in calc 3, if you want, or you can wait to real analysis, maybe I'm wrong. Mexico is bad at math, but has a "good" level in university math, in your first semester you use Spivak (actually is the harder subject) and is a proof-based calculus course. You see a kind of "advanced" algebra, there you lern about sets, matrix algebra (I'm not sure), and other things, in that course, the students do easy proofs. Also you see analytical geometry but not like in highschool, there you use vectors and also you're doing proofs but not too difficult (for example: Let U, V, W, three vectors such that (UxV)*W different of 0. Proof that three normal planes to U, V and W respectively intersect each other at a single point), in fact, you see the concept of groups ETC. Here we see linear algebra in the second year, but we don't use bookes like Strang's Linear algebra, actually are used Friedberg or Lang's linear algebra. In fifth semester you're watching mathematical analysis, differential geometry, abstract algebra and one or two optative subjects; in 6th semester ore are watching topology, complex analysis 1 and 2, mathematical analysis 2, group theory and field theory, since you are in 6th or 7th semester, until 8th, you can choose subjects like topology of sets, differential topology, or mathematical analysis 3 and 4, differential geometry 2, 3 and 4, discrete dynamical systems 1 and 2, measure theory, stochastic process etc. I don't speak english very well, I hope my comment can be understood well.
    2
  42011. Very interesting, ty for sharing this! I’m on a teaching path so it seems physics is not on my requirements
    2
  42012. Break days are often as important as work days.
    2
  42013. Thanks you, gave my brain a quick refresher
    2
  42014. Superb _ the way you explain ( ** easy ) Thanks for sharing Sir
    2
  42015. 🤣😂🤪 STEM vs the Humanities department. So true! I got a BA in English first time around and then went back and studied math and even took some graduate classes. Super!!! Thing is, you cannot bullshit your way through math. An extra was that the math department had way better parties than the humanities folks.
    2
  42016. What was the point of the 16 tho couldn’t you have just pulled it out of the integral or just don’t the problem with out it
    2
  42017. I really needed to hear what he said in the intro
    2
  42018. nails long too match
    2
  42019. This is so funny! :) good job
    2
  42020. I love that Thomas book!
    2
  42021. really helpful. keep it up
    2
  42022. i did mathematical analysis in 11 th grade in highschool
    2
  42023. Can you suggest a book on basic trigonometry as while I was studying some mathematics on trigonometric functions relating to diagrams ,there were things related to the determining sine and cosine angles with resp. to the figures mentioned which m feeling a bit tough to grasp...I want some thing on trigonometry basics so that I can skim through the basics once again before going back to study from the book...appreciate your help
    2
  42024.  @TheMathSorcerer  thanks ☺️
    2
  42025. Starting.... Halmos - Vector Spaces
    2
  42026. What kind of job do you have or are you a freelancer of sorts? I'm wondering what kind of jobs or careers mathematicians end up in. I'm very curious about maths and physics but more about physics. Nice video!
    2
  42027. Intelligent people do not need a college education.
    2
  42028. Hello Math sorcerer , please review this book, problems in mathematics by V. Govorov
    2
  42029. Thanks. About to turn 60, have a degree in engineering (30+ years ago) still enjoy mathematics and would enjoy getting back to the “life”.
    2
  42030. Mr Math Sorcerer Sir: i just sent you a FB message with photos of a couple of absolutely mondo ginormous math books I stumbled across (thanks to one of your vids). I think you might find those amusing or inspiring, or something. Also, both are really cheap if you happen to decide to acquire either or both. That's assuming you don't already have them anyway, of course. 🙂
    2
  42031. noice :D
    2
  42032. Thank u sm omfg
    2
  42033. Great video! Just want to know, how good do you think the "art of problem solving" series by Richard Rusczyk is? I bought it one day before you posted this video since I wanted to start mathemetics from the bottom (oof lol). Should I still go on with it?
    2
  42034. Geez you know everything!!!
    2
  42035. Merry Christmas Math Sorcerer
    2
  42036. hey man , your advices are so useful. thanks!
    2
  42037. is that Jeff Bezos' cousin?
    2
  42038. Isn't it odd how satisfying finding the perfect pen and/or pencil can feel? I have my preferences and not being able to find a replacement is like the end of the world! Luckily, they're popular enough to find easily.
    2
  42039. Thx for the great advice !
    2
  42040. I have a question,while teaching Maths should I plan and organize the contents or should I just go and teach whatever I have in my mind naturally?
    2
  42041. Thank you a lot, good and informative review.
    2
  42042. What's the difference between laws and identities in mathematics I mean in some book it's printed as laws of exponent and in some indenties. Then we have laws and identities of trig.
    2
  42043. all is good but what about giving us your SKIN ROUTINE?
    2
  42044. Hey Math Sorcerer, could you do a series on Applied Mathematics?
    2
  42045. I know for me, when I first started really doing math, I also listened to pink floyd and ram dass in the background while doing integrals. this was uni, second semestar. now? no way in hell I could pull that off. But then it worked for me.
    2
  42046. Thank you math sorcerer
    2
  42047. I already had this book because Sorcerer has been a fan of Kreyszig.
    2
  42048. greethins big sorcerer!, I've fallen for the trick of discontinuity trying resolve haha
    2
  42049. Nice video
    2
  42050. The "old book smell" is caused by the breakdown of Lignin in the cellulose of the paper due to exposure to heat and light. Analysis indicates that it produces a mixture of some of the VOCs as Freshly Cut Grass and Vanillin. Another fun fact: It is one of the first odors humans encountered that *only* existed due to human activity. I enjoy the image of one of the very first Egyptian scribes pulling an "old" (like 30 to 50 year old) papyrus from a protective clay urn and then excitedly running around the temple making all the other scribes "Smell This".
    2
  42051. Tony Stark
    2
  42052. Relatable
    2
  42053. I LOVE "1st Course..." by John B. Fraleigh!! I cannot book this book down, I take it with me everywhere! It's one of the few Math books I can read even if I don't have a pencil paper on me. I watched this video a while back & bought this (and quite a few others) from a thrift book store based on your recommendations. You are so helpful between the reviews, the motivating pep talks, the tutorials, all of it! Everyday I check out at least 1 of your videos or revisit an old one. Thanks for all!!
    2
  42054. surely you are joking ,Mr. Sorcerer!
    2
  42055. Thank you so much
    2
  42056. How does this compare to the one from wood's
    2
  42057.  @TheMathSorcerer  thanks
    2
  42058. sir, do you play video game too?
    2
  42059. I am getting PTSD from looking at this
    2
  42060. Thank you for this.
    2
  42061. Your conjecture All {Unicorns} thingy, ∀ {🦄} = ✍⟺ ∃🦄∈ 🦹‍♂˄ Subd
    2
  42062. Are you familiar with whether the differences between the third and fourth volume justify not picking up a used copy of volume three in favor of volume four? Also great channel. Cheers
    2
  42063. There is such a drag to beginning this kind of stuff... I've been looking into project-based learning and it worked well as a tool to reduce drag and outline a structure of a topic for me, but I realized that there is no such thing in math except those that are unfeasibly time demanding, like writing a textbook, so I have a suggestion. Could you make a list of some 'projects' in maths? (A good time-span for beginner projects is generally 2 weeks to a month, goals should be as concrete as possible) btw. I'm a huge fan. This was weirdly funny :D
    2
  42064. I can't help but wonder - where the Goth kid is today? Competitions a source of stress and anxiety 😢
    2
  42065. My favorite Calculus books, the two volumes of Apostol. Its comprehensive, motivating, and rigorous. Believe it should be THE Standard calc. books. It's so thorough. You are correct however: the only negative is its outrageous price. Last I looked on Amazon, the USED vol 1, 2 were $125, 121 respectively. Totally immoral!
    2
  42066. t h i c c
    2
  42067. Im not sure about copyright laws, but a few seconds from a Beautiful Mind would have sealed the deal.
    2
  42068. For beginners - topology by JN Sharma . Indian writer
    2
  42069. This style feels kinda sarcastic
    2
  42070. Would love your thoughts on Richard Hammack’s “Book of Proof.” It is free to download and hardbound copies are cheap. I’m using third edition (2018) for self-study, alongside the Chartrand, Polimenia, & Zhang (2nd Ed.) shown in this video.
    2
  42071. Very cool. Thanks for the reply and please keep making videos. Fun to watch and helpful.
    2
  42072. Thanks Very much
    2
  42073. wow!!! you are absolutely amazing 🍦🍦🍦🍦🍨🍨🍮🍮
    2
  42074. 0:13
    2
  42075. Be your own hero
    2
  42076. Math is love <3
    2
  42077. You're very wise ... like your advises ❤
    2
  42078. Por favor, ponga libros en español.
    2
  42079. hi to everyone from my maths methods class who also used this video
    2
  42080. Where can i send you email?
    2
  42081. Ouch
    2
  42082. I guess... its already not available anymore, only 5 hours after this video..
    2
  42083. He didn't blink at all😨....
    2
  42084. Is this how liberal arts classes are?
    2
  42085. #6: Lack of coffee.
    2
  42086. X 1.75
    2
  42087. Of course Calculus 4. That is why it is not in the option.
    2
  42088. This is the congregation of the Nerds. Only nerds would enjoy this video.
    2
  42089. beautiful cover
    2
  42090. Elementary Number Theory & its applications by Kenneth Rosen. Using it right now in my grad number theory course. I'm sure some of these books will cover some similar topics but I wanted to mention it because number theory wasn't mentioned and it has many real world technological applications like cryptography. Also, having taken the course, I have realized how important it is to understand prime numbers, divisibility, modular arithmetic, etc. This particular book uses a fair amount of abstract algebra– groups, fields, rings, etc so that would be roughly where it would fit into this list. Great vid btw!! You got a new sub!
    2
  42091. "And this gives you the space-time continuum. In other words, the end. of. the. wooorld."
    2
  42092. loved everything, but your sin Inverse is a sentence lol :)
    2
  42093. Can u make a video about dealing with proofs as undergraduate students 😊😊
    2
  42094.  @TheMathSorcerer  I can't wait 🔥🔥
    2
  42095. Nice
    2
  42096. Where are the links
    2
  42097. How things are different since 28 February 2020..........as of today 8 October 2020 36 million infected with 26 million recovered ...............
    2
  42098. And I'm here every time you upload a video to check out my role model's latest videos. :)) Thank you a lot. I also look up to Ramanujan, he was a vegetarian and so do I!!
    2
  42099. Thank you for the book recommendation. This is what I need
    2
  42100. We used Chartrand and Zhang for a Logic and proofs course and it turned out to be a pretty good book for beginners. They even had chapters on how to specifically do proofs in linear algebra, group theory, topology, and real analysis.
    2
  42101. Thank you
    2
  42102. Thanks Sir
    2
  42103. i ltrly love you so much! THANK YOU!!! - all the way from kuwait
    2
  42104. getting my feet wet with calculus.....see immediately how algebra is applied....gotta really think outside of the box
    2
  42105. how do i tell this guy i havent done math in 7 years
    2
  42106. Thank you sir appricated
    2
  42107. Do you think it's better to focus on studying Proofs before, during or after learning/mastering Calculus?
    2
  42108. I think it could make a difference; could maintain high morale for sure!! Plenty of other benefits like you mentioned as well.
    2
  42109. Very nice, good work.
    2
  42110. can you review the book Mathematics: Its Content, Methods, and Meaning (3 Volumes in One)by A. D. Aleksandrov, A. N. Kolmogorov, and M. A. Lavrent’ev?
    2
  42111. What a legend
    2
  42112. Mechanical pencils 👌
    2
  42113. Well, the truth is that money doesn't really makes the difference, But it is also true that the availability of books in third world countries is really less than in the first world. But there is always "Internet resources" where one can get really good material
    2
  42114. Can you do a video on changing your mindset about math(getting excited about doing it)/for math(thinking mathematically)? Both of these are important and feel like a constant back and forth (like a sin wave where I start at 0!)
    2
  42115. I really needed this. If it was the first time I saw one of your videos, I'd have said that you read my thoughts. But since I have watched some of them already, I can easily tell that you're a wonderful person. My sincere thanks to you for what you're doing, sir.
    2
  42116. good video, man, never seen this way before :)
    2
  42117. I‘m still in school and I don’t even plan on studying math, but I loved seeing someone displaying his passion for math as a matter of course!
    2
  42118. I subscribed. Thanks
    2
  42119. My Math Prof. for MAT 101 would insist on listening and observing keenly but he wouldnt remind you to write notes later 😂. That definitely tripped up a lot of students who werent paying attention later down the line.
    2
  42120. My lecturer on YouTube
    2
  42121. This really helped me, thanks a lot.
    2
  42122. ... and to think, he got all those gains just from hauling all those maths books
    2
  42123. Nicely done
    2
  42124. Waiting for next videos
    2
  42125. I don’t know that any subset of mathematics is more important than any other subset of mathematics. However I do believe that more important, more fundamental mathematical objects that could use more love. The function, the limit, the matrix, the group, and the variable are all quiet necessary, but are often over looked. Furthermore the nomenclature and symbols we use to do math I think could use a shout out
    2
  42126. Fascinating
    2
  42127. thanks so much
    2
  42128. Tysm! You may be wondering why am watching these video is because I'm revising incase a test is coming soon
    2
  42129. Great video!
    2
  42130. Congrats to Alfred!! Greetings from Chile 🇨🇱!!
    2
  42131. You're an awesome dude! Just wanted to say that.
    2
  42132. Hello sir, Can you please tell the career paths in mathematics? I'm studying in high school now.
    2
  42133. is there ending in math? 😂
    2
  42134. Wow! I will now add the icing on the cake so that our two tips combined will make a true badass advice for people: The best thing to learn maths in the depth Gauss did is AFTER one has established ones own financial independence. Otherwise there will come some purely arithmetic sheets to ones house which will subtract the shit out of someone. But AFTER ones established a kind of passiv financial earning process, inventing and discovering ones own proofs from the theorems will become a truly joyful art which does neither increase ones chances of getting law problems nor decreases the chance of finding a mate which one can desire, provided that one doesn't only do this totally alone but also then goes out and gives people what one gave oneself first...
    2
  42135. "Basic Mathematics" it's a great book.
    2
  42136. I see what you did there!
    2
  42137. Nice
    2
  42138. Where do you find these books for cheap? You mentioned that they were under $10 a piece but each cost like $70+ online used.
    2
  42139. Woohoo early 🎉
    2
  42140. First view from my side
    2
  42141. thanks
    2
  42142. Thank you. Much help!!!😎😎
    2
  42143. LOL, I just commented that he looks like jeff bezos, I go to his main page and I see this 0_0
    2
  42144. Hello math sorcerer! I’m going to ask here again because I guess you didnt see my other comments on previous videos. Would I be able to solve your “hardest calc 2 exam” on my channel? Thank you in advance
    2
  42145. I have to admit that I also have the similar problem, especially while making intents to study Analytical Geometry. Moreover, I should teach myself to solve different problems in a month to write the exam successfully. And as always, your videos give an enormous motivation for me! So, thank you a lot)))
    2
  42146. This is soo so cool oh my gosh I love this so muc
    2
  42147. Man you resemble Einstein
    2
  42148. Is this for bachelor's degree?
    2
  42149. I like it that TMS is expanding out to these types of topics
    2
  42150. was having an extremely hard time on this question, this helped LOTS thank you so much!!!!!!
    2
  42151. was expecting an accent from the Anglo-Celtic isles. You look like a 5th century Celtic druid, interesting video. Thanks for sharing : )
    2
  42152. Sr. Isaac Newton?
    2
  42153. Pomadoro method
    2
  42154. Good video !
    2
  42155. thanks
    2
  42156. The “Math Karen” is the best!
    2
  42157. Your library just gets better day by day man
    2
  42158. Well this is the first time I'm doing it so please don't mind me. Now then "FIRST!!!!"
    2
  42159. Excellent thought and advice indeed. Life is all about living in harmony with others & surrounding. And that is the sum of happiness of all... Thank you so much for the video. God bless you! Amen!
    2
  42160. 4:55 LMAO noice
    2
  42161. Ese libro lo utilicé cuando estudiante y realmente no es el mejor libro para aprender compiladores. Los compiladores son la parte más complicada de la informática y no hay un solo libro que sea bueno en ese tema. Esperemos que chatgpt sea capaz de hacer un libro interactivo que sea capaz de explicar de forma sencilla todas las técnicas de compilación,
    2
  42162. Begorrah, I can remember mnemonics Soh Cah Toa from old schooldays.
    2
  42163. I wish this shit was a joke
    2
  42164. Man, I am loving your new video style. Thanks for the Mentor Style messages!
    2
  42165. How did you got so better at maths sir
    2
  42166. Wow, the professor plays League, never would've thought that. I used to love it too
    2
  42167. Hey, I just want to say Math is very fun carries a lot of integrity to know some of those skills. I am learning computer aided design and I'm going to keep learning different stuffs so when I keep learning I get to be a designer/engineer. Have fun and a great day. Thanks Griffin!
    2
  42168. Wtf with the thumbnail.
    2
  42169. 2021 Everyone!!!!!!!
    2
  42170. Thank you sir!! very helpful for my studies!!
    2
  42171. I got rid of my roommate in that way. Now I'm enjoying a single room
    2
  42172. As someone coming back to math after decade out of the classroom I can say enough good things about U of Waterloo's free math content. https://cemc.uwaterloo.ca/resources/courseware/courseware.html
    2
  42173. Waooo great work
    2
  42174. the big question here is why. Why should i be a Algebra Master? What good this would make for me?
    2
  42175. 🙏🏻
    2
  42176. I think the misconception for many is that being a genius is a born ability and therefore people expect that if they don't feel super smart right now there is nothing for them out there on the intellectual level. Some born geniuses never even know they are, and therefore go by with their life with a strange view on an ordinary aspect of life. Many of us are geniuses at something, we just happen to not been introduced to the subject the right way. You might be an undiscovered genius. But when you do discover your genius don't expect to be breathing Einstein in the neck.
    2
  42177. Just in time! I'm taking complex analysis right now and I'm feeling kind of overwhelmed. I'll consider this one to study in parallel.
    2
  42178. The kind of video that I like. Subscribed✅
    2
  42179. That pencil is iconic
    2
  42180. Can you make your handwriting a bit less readable?
    2
  42181. HEY I NOTICED YOU HAVE BASIC ALG BY ANTHONY W KNAPP CAN YOU MAKE A VID ABOUT HIS BOOKS?? THEY HAVE SO MUCH MATERIAL
    2
  42182. Laplace Transform Solution of Differential Equations a Programmed Text by Stum & Ward. Not sure if you're into workbooks
    2
  42183. 1. Discrete math is about discrete objects. 2. Calculus is about continuous (integrated) objects. 3. Abstract algebra is about operations under objects.
    2
  42184. It seems to me abstract algebra is a systematic study of all the algebra that we we use in every branch of mathematics and put them in generalized forms; for me it is one the most beautiful art of mathematics ever created! While abstract algebra uses sometimes discrete mathematics(dm), dm focuses on counting or enumerating discrete stuffs, and so dm is also used in any other branch of mathematics.
    2
  42185. Cuando un vídeo en español xd
    2
  42186. De hecho me salvaste varias veces con tus integrales, y eso que solo seguí tu procedimiento y más no entendí lo que hablabas. Saludos desde Perú.
    2
  42187. Started your Calc 2 course. We go ahead, people, cmon 🤙
    2
  42188. Thanks, sir
    2
  42189. 0:09 jeff bezos ?
    2
  42190. Why does he look like Jr. Jeff Bezos to me!!🤔🤔
    2
  42191. Finally I've got my solutions to Achieve inner peace
    2
  42192. lol once just for fun i spent 10 hours in row on a problem then i get tired and i said "ight imma head out"
    2
  42193. Learn like a beast from a beast 😅
    2
  42194. to be able to do that all by yourself and also a lot of u are not giving credit to the fact that he was sixteen. sixteen
    2
  42195. Why did you only choose analysis books?
    2
  42196. Isn’t the cross product defined only for R^3 and up? Edit: Oops, Cartesian product, not cross. Silly me.
    2
  42197. I am so thankful for this motivation video💙
    2
  42198. Just by that subtle handwriting you do on whitescreen I would not challenge your authority as a Mentor
    2
  42199. It really did help. Thanks for the great content
    2
  42200. kinda looks like jeff bezos with hair
    2
  42201. I started precalc in august. I understood every fundamental concept in class. I did not study or practice for the first test cause I was overconfident and I had a miserable 38%. Lowest grade since high school or even middle school. I got depressed. I took my midterm and I got a 75% (should have gotten a B cause I got the answers right but the computes were right but in a messed up order) so I don't know if I can actually pass this class I mean I just feel so unmotivated since it's an online class and I hate online Math. I hope I can succeed for the rest of tje semester cause I really don't want to fail a class. And it's not that I'm not learning cause I am I understand almost everything, but simple mistakes and overconfidence has screwed up half of the semester for me. I just really don't want to fail the class and dissapoint my parents.
    2
  42202. Are there any places in the US that speak Spanish? I deduce that you understand a little bit of Portuguese, I can understand and read Spanish due to the similarity with Portuguese, besides all the world thinking that Brazilians speak Spanish😒
    2
  42203. Why is the union disjoint?
    2
  42204. Thanks now I have more motivation to do my abstract algebra hw
    2
  42205. it's great thank u
    2
  42206. Apparently Spivak used to joke that he should have titled his book '"Thomas' Calculus" by Spivak' so people would buy his book by mistake.
    2
  42207. Man.. thats amazing
    2
  42208. You are a legend.
    2
  42209. I developed a very romantic relationship with this book 35 years ago.
    2
  42210. I don't give up, unless dealing with some boring/tasteless math!
    2
  42211. Great explanation and highly enjoyable. It makes all the Math work worthwhile.
    2
  42212. Your comment on regrets is brilliant. I wish I had no regrets. Regrets brought suicide to my dad’s end. There is nothing useful in regret aside from self hate I suppose. Forgive. And move on. Do some maths. Also. I have two kids and as I mentioned I am breaking some heavy dna 🧬 behaviors. In my “free time” and my “me time” I am studying math. I am slow but it I’m moving along. I won’t give up on myself. My step dad said I wasn’t competent for the maths, I believed him until I realized he was just projecting per usual.
    2
  42213. I have the problem that i read a lot, i understand the theory but i have problems with the practice and the correctly writing of the proofs, principally in calculus and analysis
    2
  42214. First book you recommended looks very interesting but I can’t find it for lower price than 70$ (and it goes up to 180$!) ;_; Ps. If someone finds it for lower price pls let me know under this comment thx
    2
  42215. Rlly good suggestion 👏👏👏
    2
  42216. Man, great energy! Would love to take your class.
    2
  42217. this is legit how my 3 tries at advanced calc was for all my profs XD. Their lectures would use examples and they would just skip through parts that are just borderline impossible to understand and says its in the book then move onto something more convoluted.
    2
  42218. awesome
    2
  42219. ♥️♥️♥️♥️♥️
    2
  42220. Class example: derivative of x^5 is 5x^4 Homework: Derive (cos(x) *e^tan(sin(x)))^cosh-1(x) Exam: integrate 3root (tan(x))
    2
  42221. When you mean studying, do you mean studying with the intent of passing the class? Or with the intent of making slow, painful progress, low test scores, appearing like you aren't learning on the outside, all with the intent of real deep learning?
    2
  42222. can i really do it :<
    2
  42223. Such a good reminder to take a moment to identify the type of series you're dealing with. Noticing this is geometric is great (in test settings especially) so you don't waste your time checking the endpoints.
    2
  42224. Thank you sir!
    2
  42225. Nice video. I noticed no books on Tensor Analysis. Just a nit.
    2
  42226.  @TheMathSorcerer  You are right. Too much to learn. Have to make choices. By the way some of the books you mentioned, as they are textbooks, are ferociously expensive. Kind of a turn off.
    2
  42227. That's my main problem, I think.
    2
  42228. Why no Gilbert Strang or Linear Algebra done right for that section?
    2
  42229. I still dont even know what all this fancy calculus and algebra is for, I've never used anything other than these ( + - / x ) in my entire life. And I've solved everything I could ever think of.
    2
  42230. awesome video, loves your content
    2
  42231. Sir, can you do a video on Harvard Math 55?
    2
  42232. i love y
    2
  42233. 😂😂
    2
  42234. Hi, if I want to learn some measure theory materials for stochastic calculus and probability theory , which book would you recommend me( I have learned some basic analysis with Pugh analysis, but not deeply), and one of my list is introduction to measure theory by Tao.
    2
  42235. 9x^2/4 sorry i forgot the denominator in the first example
    2
  42236. ❤ So true…oh the song you are referring to is by TheMountain Goats https://youtu.be/o7DbDEkvB1Y
    2
  42237. what a great video
    2
  42238. Some day i wanna be a math professor just like You...
    2
  42239. thank you
    2
  42240. YOU ARE THE BEST!
    2
  42241. Thank you so much, tommorow i have class test
    2
  42242. Hahaha the last one killing me
    2
  42243. Fantastic presentation! 💯💯💯💯💯
    2
  42244. Can you make a video on how you would Learn Math topic by topic? I mean after algebra is it right to study Trigonometry than calculus 1, 2, 3 and how would your perfect way be to learn math. It really would help me a lot if you could show us a red line to follow. And by the way your videos are amazing and very useful Thanks for that.
    2
  42245. ​ @TheMathSorcerer  Thank you my Friend.
    2
  42246. I'm grateful for having 3 semesters of learning math from you.
    2
  42247. he be integrating them gains
    2
  42248. Jeff Bezos discovered the cure for baldness and became a math teacher.
    2
  42249. Even those two, clearly gifted, young girls who put forward those trigonometry based proofs of the Pythagorean Theorem, admit that it wasn't close to easy for them.
    2
  42250. Thanks!
    2
  42251. But if I don't intuitively understand a math problem, it means I am stupid, and that's NOT RIGHT. (was sarcasm btw please don't kill me)
    2
  42252. I am creative and right brained and was good at math until Analysis and Calculus. They had me go to places I didn’t want to go or didn’t know how to.
    2
  42253. 1:45 LMAO
    2
  42254. I'm so dumb i can't even spell eye q
    2
  42255. Thank you so much
    2
  42256. ❤️❄️
    2
  42257. How do you pick which books to study? Some of those are old!
    2
  42258. Nice, no dislikes.
    2
  42259. bro these are absolutely the coolest books I have ever seen, great content
    2
  42260. Do a Pinterest page on math. You will be referred to math in six different languages.
    2
  42261. My teacher, I have benefited from you a lot, I want to know how to teach English in the best way to learn I am from somalia help me learn a lot of maths I study engineering city
    2
  42262. It's annoying and frustrating for me. Especially for my "tutor" friend 😂😂😅😅😅
    2
  42263. I disagree on the video vs book part. Both are the same to get the initial idea and videos might even be better because of visualisation. But you NEED to solve problems after watching a video or reading
    2
  42264. Math people are weird they want to know how to do math and I'm just over here wondering why I have to learn to calculate a morgage in excel when there's a morgage calculator on Google
    2
  42265. Good advice. Keep up!
    2
  42266. Heh you look like Brian May from queen and if a wizard had baby
    2
  42267. First?
    2
  42268. Thanks man I get so much anxiety on test day, I mean I passed my first calculus test 4 weeks ago, but so nervous about today’s exams
    2
  42269. Thank you so much you made my day
    2
  42270. I think the book cover is reminiscent of Hilma af Klint's paintings. Beautiful.
    2
  42271. Wait, are you telling me that other people DON’T spend their Saturdays learning math for the fun of it...? Speaking seriously, though, what you say makes sense. A huge part of understanding things is letting your subconsciousness ruminate without interference from your conscious mind, and I see the importance of it in my own learning.
    2
  42272. Is this a university or high school?
    2
  42273. GREAT ADVISE!! NEVER GIVE UP!! IT is a matter of ACADEMIC MATURITY with MATHS!! THANK YOU!!!
    2
  42274. One more thing, at the end I'd like to look at the complete proof, but the picture for the other video pops up. Hope you don't mind my little bits of feedback.
    2
  42275. Cool, I wanted to suggest that you make a video about this book. This is how a math book for beginners has to be written.
    2
  42276. Math Sorcerer, do you have any particular music you like to listen to when doing math? For me , I love listening to any Hans Zimmer track especially from the Batman Dark Knight trilogy.
    2
  42277. Do either of the second two books also go over non-linear and/or partial differential equations? I took a hybrid course of Diff. Eq. And Linear algebra, and it only went over ordinary and linear. . I’ve always wanted to take it a step further, but don’t want to take the extra course for it. Thanks for the post!
    2
  42278. Can you give a few talks on math that Community colleges and trades would be taking?
    2
  42279. IQ is BS. It doesn’t account for so many things, beyond the obvious “You may be a total idiot if…” I’m reminded of the probably apocryphal quote of Feynman, “You have to be smart enough to do the work, and dumb enough to think it matters.”
    2
  42280. Thanks for this video 🌹 🌹 and prof are you showing Linear Algebra th12?
    2
  42281. Man I love maths was always my favourite class but I always struggle to put the practice in 😭😭😭
    2
  42282. Math definitely gives me inner peace... and pwning noobs in battegrounds.
    2
  42283. I´m 33 and Last September I went back to University with the goal of getting a International Relations degree with a minor in Political Science. I even resigned so this first months get used to the student life. It has not been easy but my "teenage" collegues are being super helpful and motivational, professors always available to help. My advice is to use the relationships as much as posible specially if you have to skip classes. Go to classes if posible. Have a open mind to the diferent mentalities of each generation. Be patient with yourself, is normal to struggle with the rythm and the demands of studying, pay attention to your health and track your grades as much as your health parameters. I´m struggling with health since I started I can see how age´s perform a part in the hability to study, so I needed to adjust diet (I doubled the amount of fish because I see how omega 3 really improves my focus) and exercise routine (started kickboxing to keep weight down). Know when to rest, so have days-off and study breaks as planned, so you manage stress better. Have antecipation with the deadlines giving more time than what you plan and use all resources available, including study in the Uni´s library (this wil help you feel more that you belong there). If possible, spend time extra class with colleagues such as class dinners or lunching together daily. That will help you with study difficulties as well make you feel younger and that you make the right decision. Keep in mind, how achieve this challenge will make you feel fulfilled and improve both your career and lifestyle. Good luck! Conquer the world, 40s is the new 30s!Btw, English´s not my first language
    2
  42284. Why'd you like every comment?
    2
  42285. I almost only dig automata theory lol!! :)
    2
  42286. Whenever I need to feel inspired about doing my multivar calc HW I watch your videos, thank you!
    2
  42287. Off topic, but what author do you use for teaching college algebra? My peers recommend Sullivan.
    2
  42288. The Math Sorcerer I decided to adopt Sullivan. Also any tips for a new Adjunct? Also do you pay attention to your rate my professor reviews?
    2
  42289.  @TheMathSorcerer  we used Blitzer for Algebra too!! omg. books, (so far, that I know of,) that we have in common: Blitzer College Algebra, Calculus by Ron Larson, Early Transcendentals by Stewart, Transition to Advanced Mathematics by Smith, Eggen, St Andre. (I'm sure there's more!)
    2
  42290. This shall prepare me to work at amazon ... as a warehouse worker 👍🙏
    2
  42291. "just put a little tilde over it" "it's a conceptual move, not an algebraic one" LOL I died when you said that.
    2
  42292. It's easier and more productive without 'prodding' whether exogenous or endogenous. I pick my maths books up when I have a gap in my day. No deadlines or goals. Just 'do maths whenever' Seems to work so far.
    2
  42293. Ha! Germans don't have that problem
    2
  42294. First
    2
  42295. 1:00 Good advice when you said 'dont give up'. You mentioned Tao and that Numberphile has a lot of articles about him, so just I read ' The world best mathematician- Numberpphile' on you tube. Do you think he is world best mathematician or it is too difficult to measure ?
    2
  42296. What is the book you use?
    2
  42297. This is why I love your channel!
    2
  42298.  @TheMathSorcerer  You are very welcome!
    2
  42299. Hey I discovered your channel quite recently and this is simply awesome. I am in high school, struggling with pure maths but perseverance it is!
    2
  42300. I agree with you absolutely. I always collect as many books as I can . Among them there is usually one addresses my current level vis a vis the subject.
    2
  42301. i woud like to say , what you've said is aboslutely right, by an experience i bet depending on books is much more better and efficient than the web sites.you're utterly right.
    2
  42302. Thank you so much 😢😢 I'm very need it
    2
  42303. TY
    2
  42304. Sir, don't short-change yourself. Intro to stats will put you WAY ahead of the gawking rabble.
    2
  42305. 1st sem in electrical engineering nit Agartala and they right from the beginning taught us Laplace transformation and differential equations 😭😭
    2
  42306. I got it right!
    2
  42307. thank you
    2
  42308. Please continue the c programming series, it’s helping me a lot in college. Thanks
    2
  42309. he blink? I'm listening but
    2
  42310. ok he blinks
    2
  42311. Seems simple, and it is. Change only happens through action, which is only relevant in the present. I admit, I needed to hear that. 😎
    2
  42312. Can't help say/think some people are gifted at math and I'm the other 😅
    2
  42313. u are awesome!!!
    2
  42314. Thank you. I resonated with your apptoach to learn for the sake of learning. I love your videos.
    2
  42315. Calculus by Richard Courant and Fritz john
    2
  42316. I can relate to the third thin because itt becomes really difficult to choose the book I have to read as I have many of them infront of me. It wastes time. Having a game plan before actual study is really helpful.
    2
  42317. im supposed to study for my math exam tomorrow but instead im watching this T.T
    2
  42318. How old is too old to start a math degree?
    2
  42319. "there are 25 question... Go"
    2
  42320. abusive notation LOL
    2
  42321. If anyone use early hours of a day that person can conquer full day🤗🤗🤗.
    2
  42322. Sireeeee
    2
  42323. The horrible truth about mathematics is that you actually have to use pencil and paper... 🤣
    2
  42324. Thanks bro
    2
  42325. Awesome video! What would you recommend we start young kids with?
    2
  42326.  @TheMathSorcerer  what about REALLY young kids lol! I've heard math equated to language, so of course getting kids comfortable with a language really young should help them be fluent. Also maybe, how young is too young haha!
    2
  42327. Great! - Thank you
    2
  42328. At the end of the "To the Student" section, I saw in the video the phrase "AD ASTRA PER ASPERA!" which is Latin for "to the stars through difficulties!" ❤
    2
  42329. This is so beautiful 😭😭😭
    2
  42330. What about crypto
    2
  42331. Be careful of the likes of Ruja Ignatova. She ran off with several billions belonging to her investors.
    2
  42332. Since when Jeff Bezos gives math lessons?
    2
  42333. If there was no pile of books about math and stuff, I wouldn't believe this guy
    2
  42334. I am not sure if you mentioned it in the video because I just skimmed the video, but do you have any books that you would recommend on mathematical cryptography?
    2
  42335. thanks a lot man!!
    2
  42336.  @TheMathSorcerer  Isn't it just restating the stuff I learned in my own words? Every textbook and teacher expects a genius out of every child then.
    2
  42337.  @TheMathSorcerer  I really appreciate that! I'm taking an Environmental Design course right now, and they hit a lot on this one topic, basically you pick up a lot of experience, then you apply it later down the road. I decided a while ago that I will observe the world around me purely using math and physics when I know enough of it, seems interesting. I had a very in depth discussion about how the government shouldn't be such a large entity with a teacher of mine. I used some comparison with systems in physics, if you zoom out too far then it's really hard to observe anything interesting. There's no room to try new things like they can do in Europe, if we go the wrong route, then we might end the whole world because the USA is too big of a target and too big of a gun. If we mirrored Europe and we had say 20 countries in North America, then laws could be passed that serve the actual area best, the system is focused enough for meaningful activity. I consider myself a sort of designer, but with a severe focus on Math and Physics. I hope one day I get to name an equation... or even create notation... OH YEAH, that'd be SICK. I gotta know all about notations then XD
    2
  42338. Mathematics is the universal language of the Universe. How can something universal be elitist?
    2
  42339. Jeff bezos if he had hair
    2
  42340. I think the best introductionary book of number theory is Elementary number theory by David burton
    2
  42341. how long will studying all this take??
    2
  42342. thank you man, i truly needed that
    2
  42343. How long would you estimate that it would take to go through all of those books? I'm asking because I know it's cool to own books, but to really read them is something different. More so, they contain a ton of exercises most of them. I finished uni several years ago (computer science) and after a few years I wanted to get back into maths. I Bought two books (algebra and calculus - the Stewart one). They are incredibly harder to go though than your average belletristic book.
    2
  42344. Alright, let's do it!
    2
  42345. Amazing class!! Love your channel, you're so enthusiastic about math it makes me enthusiastic too lol
    2
  42346. Q.E.D.
    2
  42347. How do u do this kind of video as in your setup pls sir
    2
  42348. Hey doc, can you suggest me a few colleges that are not strict with their admission requirement for phd math program my cgpa is 7. 5/10. I have three independent research papers and maters in math
    2
  42349. Today is actually my first day of classes! Thanks
    2
  42350. Momma, i am not smart 😭😭😭 😂
    2
  42351. I have a question, which book is better for self study between calculus by apóstol or calculus by spivak?
    2
  42352. Awesome video. I’m about play league after studying math! Sucks that there is many people online that it’s making everyone lag....
    2
  42353. I just tried this one before watching the video: P(P({})) = {{}, {{}} } P(P(P({}))) = { {}, {{}}, {{{}}}, {{},{{}}} } written with only curly brackets and commas is a really mess, but you can't say that i am wrong xD
    2
  42354. NICE!!!!
    2
  42355. Hahahaha, this was hilarious~
    2
  42356.  @TheMathSorcerer  Why don't you make a "What is Galois Theory?" kind of a video, would boost my learning process for sure!
    2
  42357. can you also proof the formula, since you are just showing how to use the formula
    2
  42358. This just came in the right time, have my Math 100 Final on Thursday. Thank you
    2
  42359. These texts are temping because I know how awesome it is to scale knowledge mountain as large as a field of math and come to a series on conclusions that make everything just click. Those final few texts shown must have some deep arcane knowledge that, once understood, will simply make one stand back in astonishment. Or maybe I'm just a big nerd. Yeah, I'm just a big nerd.
    2
  42360. Can I read Euclid Elements?
    2
  42361. Thanks for the reply sir
    2
  42362. Love the horse head! It adds an air of erudite B^\
    2
  42363. this guy looks like a scientist from the 18th century
    2
  42364. My man dropping that he loves League of Legends was not something that I expected at 8 AM today. Lol! I'll take your advice and play some on my breaks today 😉 P.S. "huge troll"... I'm getting Singed vibes xD😂
    2
  42365. 100 comments done😂🎉
    2
  42366. I don’t think that math people necessarily think of themselves as elitist, but they/we do seem different. I realize that I think about the world, examine the world, a bit differently, more abstractly, than most people I know. I live in a very small community and find it hard to find people to talk to on anything like an abstract level. I spend a lot of time online! 🤣
    2
  42367. Great video!
    2
  42368. Schaums Outlines is great too. They cover Logic, Calculus, Discrete Mathematics, Abstract Algebra, Linear Algebra & Probability & Statistics. The text even have corresponding workbooks with 1,000's of solutions.
    2
  42369. Thank you Math Sorcerer, you helped me with calculus 2, and I found you yet again, also amazing video man!
    2
  42370. Thank you for mentioning your books. I had NO idea you'd written them. I found them on Amazon. I've already ordered two. Oh, heck. At less than $15 each, I'm going to order the rest of them.
    2
  42371. The “Algebraic Structures” is revised and updated and retitled as “Undergraduate Algebra”.
    2
  42372. the thing is that i agree with you and i started out with a pencil and a piece of paper, but then i wanted to spice up things and now im using like 2 pens a pencil and markers xD
    2
  42373. Thanks !!!
    2
  42374. what's wrong with being an elitist? idiots like me should worship the great minds
    2
  42375. Any thoughts on “Foundation Mathematics” by Stroud and Booth?
    2
  42376. I genuinely feel like working out helps, try going by yourself it really does help.
    2
  42377. An excellent and healthy way to view life.
    2
  42378. i like this professor doork not dark doork
    2
  42379. My version is slightly different from yours...my second chapter is about basic topology. I don't know which version is better.
    2
  42380. Have you seen the new book by Bresar? It looks like it has a pretty interesting approach.
    2
  42381. Mathematicians don't do that random "abusive" move in solving problems. That's more of a physicist move :)
    2
  42382. Algebra not easy
    2
  42383. Thanks for not skipping any steps
    2
  42384.  @TheMathSorcerer  español, pero no desmerita nada
    2
  42385. Thanks!!!
    2
  42386. Hey! I didn´t know you were into trading. What markets do you trade?
    2
  42387. Hello Mathsorcerer , I just went through the preface of Susanna Epp book,...Discrete mathematics with Applications... It said that algebra is needed, unlike what you said!!. Yes calculus could be studied after this book, but algebra is a prerequisite, the only prerequisite...Is that correct? Thank you kindly.
    2
  42388. Math makes people rich spiritually.
    2
  42389. TYSM THIS IS WONDERFUL
    2
  42390. When novels write of golden eyes this is what they mean
    2
  42391. Great work 👍
    2
  42392. What's the difference between advanced calculus and real analysis?
    2
  42393.  @TheMathSorcerer  I have concepts of real analysis and algebraic structures in February and I currently suck at proofs, any tips to help me get prepared
    2
  42394.  @TheMathSorcerer  Sir, what's it with you and abstract algebra? Amazing work BTW!
    2
  42395. Thank you!
    2
  42396. Thank you very much!! Sounds so simply from you!
    2
  42397. Do you recommend any other books besides "a graphical approach to algebra and trigonometry"? I'm currently unable to obtain a copy and I wasn't sure what other book would be a good replacement, or would any trig / precalc book be good enough?
    2
  42398. cheers stud
    2
  42399. Do you use pencil or pen for the notes?
    2
  42400. 1
    2
  42401. First comment
    2
  42402. You put a smile on my face as always. Thank you for the motivation, and for all of your amazing videos!
    2
  42403. Can you please add more videos on this
    2
  42404. Got accepted into Graduate school Thank you for your advice
    2
  42405. Hi all. I have a question regarding the longest interval of definition. I do understand what it is, I just have a doubt in case of this particular function of y=1/(x^2+c). For the I.C of y(0)=-1 we have selected (-1,1) as the longest interval, however when we plot this function, the 3 parts of the plot are not 3 different functions or 3 different plots, these are all one plot of one particular function y=1/(x^2-1), function that passes through (0,-1) but also all the points from (1,inf) , so shouldn't we choose the right part of the plot as the longest interval? (or the left one of course)?
    2
  42406.  @TheMathSorcerer  OK, thank you.
    2
  42407. Yoo it's really 🤩 amazing
    2
  42408. ☺️☺️
    2
  42409. Finally a video that can save me .v.
    2
  42410. Hello sir, I am currently taking calculus 1 and almost completed my syllabus watching YouTube and doing some problems in advanced. I really like to watch integrals, ODEs, series questions being solved on YouTube which brings interest in me to do it sequentially on my own. Would you kindly suggest me a good calc 2 related book which is good for beginners? Love from India 💖
    2
  42411. As a guy who learn math pretty easily in college, I sometimes wonder why they can't do this math. It's so simple. I forget that they may have trouble with math long before college. But hey, that bird is moving
    2
  42412. Tell me why my calc 2 midterm on series and sequences was harder than this 😐 pretty sure I still failed it tho
    2
  42413. it's real helpful,thanks
    2
  42414. In 11th india
    2
  42415. I look forward to the day a book fails the smell test...'This Math book stinks!!'
    2
  42416. Please do a video on Math Anxeity.
    2
  42417. I just really want to thank you for the useful content as this has helped too many students outside your class room as well. Thank you Thank you Thank you. I really have a bad teacher and without you I would have sucked!
    2
  42418. I have just finished, after taking some definite breaks. Now, time to do some homework. Thank you!
    2
  42419. You can study at your own pace.
    2
  42420. Maybe more tiers? Like tier 5 including more advanced topics like category theory, model theory, distribution theory etc. and level 6 being research level. I feel like I am already tier 4 while there is soooo much more to learn That said, I like the video though 🙂
    2
  42421. is this a possible ap calc question
    2
  42422. Absolutely the best math books reviewer ... thank you sir .
    2
  42423. thank you!!!
    2
  42424. I really love what you said. 👍👍
    2
  42425. I preffer your channel on all the others with millions of subscribers that gives similar content ,i think you should promote your channel with a certain way to give it a push and then it is definitely going to spread heavily.
    2
  42426. Do some hard math AND you need to learn Spanish as well; 😅 Give your brain a real challenge!
    2
  42427. It's stupid I find this so funny...only true nerds do
    2
  42428. REQUEST FOR MATH BOOK REVIEW: Author Name: Mark Dugopolski, Book: Elementary and Intermediate Algebra, College algebra. Hey math sorcerer, I have been trying to find good books on basic math. Many people suggest me to watch khan academy but I think watching videos is not enough. I watched many of your book reviews and after doing a little research myself, I found these books by Mark Dugopolski. I want to know what you think of them. Thanks.
    2
  42429. Nice. What camera are you using?
    2
  42430. People with learning disability and people without any sources of motivation at all: :)
    2
  42431. Funny how this video shows up after ranting about math videos on youtube. I was watching a youtube video on understand word problems to equations, and the youtuber showed simple examples, then suddenly the problems to have use try on our own had to use quadratic to solve, which never was brought up in the previous examples, and I am trying to brush up on math, but gets frustrating when I am still trying to learn the "rules" in algebra. :/
    2
  42432. Non-purple unicorns do not exist!!
    2
  42433. Thanks I followed your method
    2
  42434. Pseudorandom noise generator!
    2
  42435. Be more concise: practical or abstract, applied, or theoretical, study or degree plan. To say that people will assume you're a geek, genius, or misanthrope... or possibly even a genius nerd with misanthropic tendencies... who cares? If you care about those things, you're focusing on the wrong question (imho). What do you want to do with your mathematical abilities? Engineering, theoretical physics, accounting, cryptography, business... Why are you learning math in the first place and is it worth it to you... Honestly, I think everyone should exercise their math abilities at least to the limit of their comprehension... gives one critical reasoning practice and that is a skill in short supply.
    2
  42436. nice sir
    2
  42437. This is not a mainstream book ..I know of no University that uses this book , for the Introduction to Analysis class ..The weakness of this text is that it does not contain enough worked out examples , so it is terrible for self study ....Indian textbooks are better in general ....Elements of Real analysis by Shanti Narayan comes to mind...
    2
  42438. Scheme should not be a problem to learn. It is a simple and elegant language. The current standard, R7RS, is only 88 pages.
    2
  42439. Me win 500 000 $
    2
  42440. most dangerous man on youtube, he says to study mathematics . how frightening.
    2
  42441. Thanks man, your videos really help in so many ways. You’re doing such a great job :)
    2
  42442. One day the librarians are going to get together and come after you ...
    2
  42443. Funny how bad math teachers are unforgettable. Fortunately so are good ones.
    2
  42444. Commenting just in case I want to read this in my future
    2
  42445. Thank you kindly, I have a calculus exam tomorrow and this showed up on my break.
    2
  42446. very good explain sir
    2
  42447. I graduated in mathematics 30 years ago, still dont get large chunks of it. But the cool thing is some things when I have come back to it years later - it is... ah hah! Thats whats going on. Not much help if you are still studying but the books with the intro "Some mathematical maturity is required..." really do mean something. And in truth (like me) you can make it through the exams without 100% understanding it. [Apologies to the academic world.] Or at least having the same sort of "insight" that I think just comes with lots of time. One other old guys bit of advice, dont be hard on yourself Maths and Physics is full of neurotic 20 somethings and has been for the last 300yrs+ thinking you have to measure up to Newton, Gauss, Euler etc etc. Cut yourself some slack.
    2
  42448. "No human being would stack books like this" ^^
    2
  42449. This guy is great
    2
  42450. The brain is an organ…but organs can also be trained too, so your point still works 😊
    2
  42451. pretty cool
    2
  42452. Some people are gifted intellectually.
    2
  42453. If you ever share scrapbooks with the PUBLIC including your study buddies, BE CAREFUL. Be sure to give CREDITS to tutorial creators and attach source links for legal reasons. Otherwise, you'll be accused of copyright theft or plagiarism or be confused as a creator. Alternatively, keep scrapbooks private only to yourself. In my PUBLIC scrapbooks, I always give credits, so that nobody confuses me for a creator and gives me heaps of undeserved praises. I don't bother with credits in private scrapbooks. To save time of writing credits, I just attach links. Creators don't mind, as long as my public scrapbooks give them credits, plus free publicity and advertisements. Atop credits, I add links to creators' PayPal donations, Gumroad, Patreon, GoFundMe, official websites, etc.
    2
  42454.  @pinklady7184  thanks
    2
  42455. Physics in a nutshell Here are worthwhile hubs inside Stackoverflow. They also have many more hubs for other sciences. Mathematics https://math.stackexchange.com/questions Physics https://physics.stackexchange.com Mathoverflow https://mathoverflow.net Mathematica & Wolfram Language https://mathematica.stackexchange.com Academia https://academia.stackexchange.com
    2
  42456. Si se trata de rudin o libros así anglosajones mejor úsalos en el original, el rudin traducido al español tiene algunos errores tipográficos y como dijo mi profe de análisis 1 el rudin en inglés es 10 veces mejor que en español.
    2
  42457. goes to school
    2
  42458. Thanks for your awesome video. I think I will start this so many times post-poned adventure.
    2
  42459. It's hard!
    2
  42460. There is no end
    2
  42461. I am going to look for this book. Thank you.
    2
  42462. Good. I've been in need of just this information.
    2
  42463. No one uses Pencils in France wtf
    2
  42464. Totally agree! It's the only subject I've repeated the course...
    2
  42465. hey math sorc, do you have any good recommendations on introductory measure theory?
    2
  42466. You should do one on the Least Common Multiple (L.C.M.) too, I always confused those two in school.
    2
  42467. wow i really really needed this.
    2
  42468. How to focus on studying math when you are so upset?
    2
  42469. Do you have casella's statistical inference? If you do I wonder what student level you'd assign it to, the mathematician in me tells me it's undergrad level book but statisticians usually seem to use it for graduate level courses.
    2
  42470. His voice is sounding so badly like Saul Goodman damn
    2
  42471. THANK YOU <3
    2
  42472. Amazing video. Very inspiring. Thank you. This applies to EVERYTHING.
    2
  42473. ❤❤
    2
  42474. Oppositional Defiance is natural. I'm the same. 🙂
    2
  42475. Excellent bibliography
    2
  42476. Secret to my success is I'm not averse to get stuck (a lot). Get good at accepting the reality of not understanding things after working for X minutes/hours/days of solid practice and focus, only to eventually realize that whatever you are working on will, almost invariably be something that you will look back on as 'not that hard' anymore -- OR, at least will look back on as 'something I got past'... It's like dark-souls milestones -- even with help, you're going to hit a lot of "YOU DIED" screens.
    2
  42477. Wow thats a 5th method i learnt to solve quadratic equation
    2
  42478. I am convinced there certain people wired for math or wire for multi-lingual understanding as others are wire for specific abilities.
    2
  42479. This is the next book I will get. "Advanced Engineering Mathematics" by Erwin Krevszig. I want that book 😍😍😍 for 3D modelling, my hobby.
    2
  42480. ❤
    2
  42481. Dibs on equal 500.000 subscribers noted!
    2
  42482. Thanks a lot sir
    2
  42483. Found this video today and now I have a goal for 2021! I’ve been learning python to backrest and build myself a trading strategy. I realize the stuff I wanted to use I just don’t have any foundation on. Thank you.
    2
  42484. I have my Discrete Math final tomorrow lol I'm so nervous
    2
  42485.  @TheMathSorcerer  Thank you sir! Much appreciated
    2
  42486. I actually have the movie and the book.
    2
  42487. Thank you so much for leaving a link in the description to free resources.
    2
  42488. You're amazing!
    2
  42489. 👏🏿👏🏿👏🏿👏🏿
    2
  42490. Nice --- some Olympiad questions.
    2
  42491. Give such small proofs in your video
    2
  42492. It is an indirect '5 reasons to do math' video. 😂❤️
    2
  42493. neat idea, i'm going to try this. i always try to plow through page by page then switch to another book as i think i need more foundation. nice to see the shaums outlines and is the Munkres I see? thanks for these videos, very encouraging!
    2
  42494. Definitely going to buy this one, but that reprint looks so lame compared to this edition.
    2
  42495. Insightful piece thanks sir..Can you do a video on finding a 3 by 3 matrix" A" with real entries satisfying A=A* where A * = transpose of A
    2
  42496.  @TheMathSorcerer  can I be the sorcerer's apprentice lol
    2
  42497. My version of Thomas is the 3rd edition...
    2
  42498. thank u mr bezos with a wicked cut
    2
  42499. Thank you ☺😊
    2
  42500. you look like a mix of Mozart and Newton. Amazing!
    2
  42501. Thank you from Colombia <3
    2
  42502. 🙏🏼
    2
  42503. love you explanation, thank you so much
    2
  42504. Teaching middle school math with a BBA in Economics.
    2
  42505. Thanks!!!
    2
  42506. Love your videos. I was never good at math, because I never sat down and actually went through the process. Since starting to actually do math, I got a lot better. Thank you for what you do, friend
    2
  42507. Happy Holidays...
    2
  42508.  @TheMathSorcerer  You have a lot of books very interesting, it's great : )
    2
  42509. BTW, he invented a math typesetting program (tex) in order to typeset the math formulas in these books.
    2
  42510. My mathematics masters is really fun 😊
    2
  42511. Wow, amazing! Thanks for sharing.❤😅
    2
  42512. No mention of Singapore's math curriculum? Your pre-algebra should start with using that, then use Art Of Problem Solving's (AoPS) texts for the rest until calculus. As an adult, using the books you mentioned would be abysmally boring and nothing but route exercises for people who have to do math but don't enjoy it. Starting with Singapore math, to learn the bar method, then using AoPS will give someone an enjoyable and intuitive understanding, while answering the 'why' behind many concepts, before going onto more complex topics.
    2
  42513. It was helpful
    2
  42514. omg....i can definitely relate to this.
    2
  42515. A study that Ian Stewart covered for the second edition of "The Foundations of Mathematics", carried out on a class of 18 year olds during a course (using high-tech equipment such as eyesight tracking devices even), found that higher test scores were not correlated to the number of exercises done before it or how many times the content was read, but to how well the students understood demonstrations. This lead Stewart to saying that the best study method is self-explanation, as understanding definitions and their implications gives a better idea of how things work. Students that performed worse also had more trouble with tricky concepts such as why 0,999... = 1 and so on.
    2
  42516. Please do a comparative review of the following books: 1. An Intuitive and Physical Approach To Calculus By Morris Kline 2. Elementary Calculus: An Infinitesimal Approach By Howard Jerome Keisler 3. Differential and Integral Calculus By N. Piskunov 4. Calculus By L.V. Tarasov.
    2
  42517. thank you so much my teacher
    2
  42518. Calculus Made Easy by Silvanus P. Thompson should be on that list.
    2
  42519. Yes we can become a calculus master but the fact is Start it learning for just 60 min every hour and for atleast 24 hours every day till you die ! Look it's very simple😅😅
    2
  42520. thank you!! so helpful
    2
  42521. Thank you 👍👍👍
    2
  42522. Wow, seeing that book cover brought back a lot of memories!
    2
  42523. My biggest reason for thinking math can be elitist is that i went to an engineering focused high school with absolutely no interest in going into engineering. I am working on getting a bio/ecology degree (havent 100% decided yet) and have had people in engineering and comp sci fields try to insinuate im stupid because i dont want to go into a more math based field. I dont think it is a problem with the material itself, but with the culture around math where people will shame you for not liking or getting math
    2
  42524. I feel like I am smarter today. I haven't seen the video yet. Do I divide both numerator and denominator by X and then let u=x+lnx?
    2
  42525. Great advice
    2
  42526. Badass thanks man
    2
  42527. Awesome!!!!Thank you.
    2
  42528. I thought you was going to start solving the triple integral. I think I misunderstood the title!
    2
  42529. Awesome
    2
  42530. First💪
    2
  42531. thanks brodie.
    2
  42532. How about laplace inverse of 1/S^2+S+1
    2
  42533. There are places online to get the Plane Trig book relatively inexpenive.
    2
  42534. New camera?
    2
  42535. gracias!!!
    2
  42536. Thank you! This helped me a lot
    2
  42537. Duh !!
    2
  42538. Best math teacher ever
    2
  42539. Have you looked at the bourbaki series? Really good
    2
  42540. Sick video Needed this hype content
    2
  42541. Hello sir. Can you take a look on: "Mathematical thinking and writing by Randall Maddox"? It's probably targeted to students who just finished high school and entered college. Personally, I'm a Biologist self learning mathematics and without it, I might not have been able to break in.
    2
  42542. You look like jeff bezos but from the shire. Maybe it's the books in the background. so learned
    2
  42543.  @TheMathSorcerer  :)
    2
  42544. Very good
    2
  42545.  @TheMathSorcerer  you're welcome anytime
    2
  42546. I wanna believe this guy soo bad. Earlier i was trying to convince myself thats its ok if i dont make it. But in reality, it's not ok. Atleast for me. And i want it soo bad. This video made me realize that i can pull myself together in just 2 weeks. I can do it and i will. Thank you so much, you have no idea how much i needed this.
    2
  42547. I quickly learned that last semester. 2 of my professors did a great job providing information and recording lectures. However, my Advanced Calculus professor simply assigned homework and told us to send him an email if we had questions. Luckily there's a vast collection of videos covering Avanced Calculus.
    2
  42548. I like math not because I loved math first … math loved me first
    2
  42549. * the most useful *
    2
  42550. There is always a risk as you are trying to figure out the problem before the camera, you get stuck and make a fool of yourself on youtube...
    2
  42551. I got one of these at a garage sale last year for 15 dollars. Quite a bargain
    2
  42552. You are a saviour thank you
    2
  42553. Thanks for the awesome video. My linear algebra course is going to start next week. Can't wait to learn about linear equations in higher dimensions. Just ordered the Schaum's book. Plan to couple it with my No BS guide to Linear Algebra( yes, its an actual book) hahaha while I study. Again thanks for the awesome video. Keep passing down the knowledge. I feel it gives us all more strength to push forward with our maths
    2
  42554. This guy should be a counselor for math students. The Matherapist.
    2
  42555. I didn't know you were Cuban and speak Spanish. I just noticed in the comments, I read you had some videos in Spanish and I went to your playlists. Encontré el de cálculo, voy a echar un vistazo a esos vídeos. (Aunque yo ya tomé cálculo del 1 al 3 en community college). Soy mexicano y vivo en Estados Unidos, es mi tercer año en el país y trato de seguir adaptandome.
    2
  42556.  @TheMathSorcerer  thanks. Actually, I developed most of my English in the States during the last years. You know, school helped/forced me to learn. However, I still need to improve my speaking skills.
    2
  42557. First?
    2
  42558. Kevin Pues ya somos 3.
    2
  42559. BRAVO, MATH SORCERER!!!!! Nicely done!!! I love it!!! Thank U!!!
    2
  42560. First
    2
  42561. I found all your books free on internet
    2
  42562. very cool, thanks for sharing this
    2
  42563. This is a really interesting example
    2
  42564. For real this is what we need
    2
  42565. thank you for your efforts could you explain the types of proofs of mathematics in series
    2
  42566. You're obsessed (or can become obsessed) with Math if u have any/all of the following symptoms: *Buying Books - Math / Science / Technical or ANYTHING that has Equations you've never seen before *Reading Textbooks, especially THICK ones, for FUN....usually after u get your Degrees...LOL *Websites - ALWAYS hunting for new wURL's to Bookmark to your ever-expanding collection *Amassing &/or organizing an ongoing Digital Library 'subject-wise' (gotta love them PDFs!) *Software (mostly the FREE kind)- IF you're into CAS Systems, 3D Graphers / Plotters / Stats, etc *U can skilfully splice/use Math terminology into ANY conversation But the best reason of all...is simply because u KNOW & LOVE Math...PERIOD!!
    2
  42567. That's really awesome! Your book review videos have inspired me to start collecting vintage math books (of course, I study them as well!).
    2
  42568. I am going to say, this is an excellent video and a good message. I have one eye. And I do not like math but this is true. In the land of the current state of the world, I definitely have become more knowledgeable about what is really going on. And you know what. It's all a chess game. But whoever wins? We'll see. But we really don't need math, I rely on history, English, and psychology. Numbers are easy. Being a good person is all that matters. Karma.
    2
  42569. What would the hardest be for people who take more advanced classes?
    2
  42570. Right 👍
    2
  42571. Hey Math sorcerer. Thank you for your words of encouragement. I am actually in the process of resigning from my software development job to pursue studies in applied math. I started studying a while back and its the 2 math modules linear algebra and calculus that re invigorated my passion in math. I have applied and was accepted for the following course: https://www.unisa.ac.za/sites/corporate/default/Register-to-study-through-Unisa/Undergraduate-&-honours-qualifications/Find-your-qualification-&-choose-your-modules/All-qualifications/Bachelor-of-Science-Applied-Mathematics-and-Computer-Science-Stream-(98801-%E2%80%93-AMC) I just received my year end results and learned that i failed both these modules. But i blame it on my lack of discipline and focus. I hope that not having a day job will allow me to spend those work hours on math instead. After this course, i would lile employment in a role more mathematically oriented.
    2
  42572. I follow your channel for the math content but it's nice to see you talk about other things I happen to like :) My Dad introduced me to the Greek Stoics and this book in particular. Tbh, I don't think I would have read it if he hadn't told me its connection to the Gladiator movie. The book is fantastic and has been great in helping me deal with bullying in school.
    2
  42573. Thank you, I was getting fucking sick and tired from all the bull shit stupid ass dr Steve warner books and stupid ass recommendations for what I should buy for getting better grades... I'm not in school and don't want to be.. I'm trying to be self sufficient, even if that means risking my future. Again thank you, this will be my guide.
    2
  42574. Hopefully it means something
    2
  42575. f facts man
    2
  42576. I like this guy
    2
  42577. Very good and insightful
    2
  42578. I love the book cover.
    2
  42579. Felt like a real class, I didn't even get the jokes because I know so little about maths
    2
  42580. Neoten
    2
  42581. BLASPHEMY!!!!!
    2
  42582. Thang you sir
    2
  42583. The funniest part is that the first one isn't even right; there should be a minus sign XD
    2
  42584. Plz review Martin liebeck's pure mathematics...thanks for your efforts and your channel!
    2
  42585. It looks like a good book to practice the writing of proofs, what do you think? I really liked the Spivak book you recommended ...
    2
  42586.  @TheMathSorcerer  Thanks!
    2
  42587. I can't believe this is what I watch for entertainment.
    2
  42588. I intend to get a PhD in physics, if possible lol, and later down the road i would love to get a math major, you think I'll have any kind of problem?
    2
  42589. nice!
    2
  42590. Success breeds success.
    2
  42591. Man you really helped me out! Our teacher didn't show us this proof. Thank you!
    2
  42592. This guy looks like young jeff bezos with hair
    2
  42593. I could tell from your forearms you had some physique but never would have thought you’d have the chest/ collar bone definition, I’m jealous !
    2
  42594. If you have work to do and don't feel motivated. Good. Start Working, and you'll feel a lot better and motivated. and once you are on the habit of working when you feel the subconscious resistance to work, that's where the magic happens. The Work you reluctantly started starts to gain positive momentum and before you know it you are done with the work that is why you should always have a full to do list and do work in free time. you'll feel a lot better and get tones of things done. if comment is helpful
    2
  42595. Someday, I will.
    2
  42596. :thanksdoc::thanksdoc::thanksdoc::thanksdoc:
    2
  42597. Ok, I like the video and the book. However, the lengthy example is super simple (vs "strange math you've never seen" title). Nice video. Slightly clickbaity title :)
    2
  42598. 😂
    2
  42599. Absolutely agree! It is also important to make clear and precise notations, so if you don't fully understand something in class, at least you can deal with it at home using what's written in your copybook
    2
  42600. 😂😂😂😂😂
    2
  42601. Best line of the video
    2
  42602. Why this looks so much like my calc IV prof at college
    2
  42603. Thank you sooooo much
    2
  42604. I can't be happy in Russia :(
    2
  42605.  @TheMathSorcerer  This is cool :) Thanks for the answer)))))
    2
  42606. hahaha finish line ... in math ... Is like to ask which are the last number of infinity.
    2
  42607. I have one book
    2
  42608. Déjà Vu! Some professors should just stick to teaching and research.
    2
  42609. These are so relaxing lol
    2
  42610. Math Sorcerer, I see my college calculus book from 30+ years ago on the right of your new bookcase but I can’t make out the author. Calculus and Analytic Geometry. It’s tan with the author’s name in a teal rectangle. What is that book??
    2
  42611. Honestly the worst video!! Love it 🤣😍
    2
  42612. goat
    2
  42613. Where can i get those book ? i am really interested in maths and have no direction where to start.
    2
  42614. Excellent explination🙌
    2
  42615. no changing your bone structure
    2
  42616. This helped me with my college exam review, Thank you so much for making this video!
    2
  42617. 3:24 Well, no shit. I thought we were gonna draw with crayons lmao
    2
  42618. Yeah! Nice one lol..
    2
  42619. Ordered, thanks.
    2
  42620. Thank you so much for your amazing video and best explanation.....may god bless u... keep it up👍 I M from India...
    2
  42621. Plz take questions of imo olympiads
    2
  42622. thank you sir
    2
  42623. The Math Sorcerer thanks a lot!! you will probably see me in the comments of those videos soon lol
    2
  42624. This is the second video ive watched from you and my interest is growing, keep it up
    2
  42625. Please Review Ward Cheney Linear Algebra book
    2
  42626. Thanks from Iraq ❤
    2
  42627. This is absolutely truthful
    2
  42628. Admittedly it wasn't a math class, but a physics one, but the best line I ever heard in a lecture was: "We do this derivation with respect to A but we will call it x, because it can also be B." Note it made perfect sense to us at that point, but that line just sounds ridiculous.
    2
  42629. you're the best!!!
    2
  42630. For Arithmetic subjects, I suggest Indian Vedic math and Russian mental math. I've seen Russian kids doing 3~4 digits number calculation with their finger SUPER FAST.
    2
  42631. Thank you! This was very helpful
    2
  42632. I think there is log secx place of log cosx
    2
  42633. This video is indeed accurate, and I can prove it to you but the proof is trivial and left as an exercise
    2
  42634. About to take a career defining exam on 9 sept...Wish i could transfer your skills of calculus in my mind just like in matrix movie😂
    2
  42635. The Math Sorcerer didnt go well...paper mismanagement😭😭😭
    2
  42636. Great advice. Greets. ❤
    2
  42637. Hi Math Sorcerer. Which do you think is better, the Rosen Book or the Epps Book?
    2
  42638.  @TheMathSorcerer  And why do you think Epps is better?
    2
  42639. Math Goggins!!! 🙌🏽💪🏼👏🏽🤜🏽🤛🏻
    2
  42640. Amazing explanation, thanks a lot!
    2
  42641. 9:30 For me feels much easier just to realise that a negative power is 1 over a positive power, so e^-ln|x| = 1/e^ln|x| = 1/|x|
    2
  42642. Gene Wilder of Math! Good Day sir!
    2
  42643. wow that's a Buzzfeed-level title
    2
  42644. Although not a mathematician,Bobby Fischer used to be my role model.Personification of mathematics itself seems to be a role model for me now.Perhaps,I've never really had a role model except trying to believe in myself.Be yourself.What about Colossus from the film:Colossus:The Forbin Project?
    2
  42645. Thanks for putting effort in this, they give me quite a good chuckle. This one reminds me a lot of my years at uni, except for writing with my right hand. Still today I can't do that on vertical surfaces.
    2
  42646. Thank You for your wisdom!!!
    2
  42647. Good luck to you. I remember calc 1 being scary at first because there was so much new content but overtime it got easier. Let me explain, math isn't easy but if you put in the time, things will become better. Make sure to go on YouTube for math help. There are lots of great calculus videos. My favorite youtubers for math are are professor Leonard videos and math bff videos. I hope this helps and you are going to do great!
    2
  42648. Damn, I just left a really long response to this, but it seems to have disappeared. Maybe it just went in the SPAM bin because there were a lot of links? If so, maybe the Math Sorcerer can restore it. If not, sorry, but I'm not typing all that up again. 😥
    2
  42649. lol
    2
  42650. Great advice
    2
  42651. would be awesome if you made videos on Differential equations !!
    2
  42652. You lifesaver
    2
  42653. I got goosebumps too. Thanks so much for the advice, gonna put 'em in mind the next I confront a mathematical obstacle.
    2
  42654. Also available on Google Play Books https://play.google.com/store/books/details?id=MPcKAAAAYAAJ&rdid=book-MPcKAAAAYAAJ&rdot=1
    2
  42655. I’m gonna order it!
    2
  42656. You should lower the racks so that you benching a little bit wider grip to encage more the pectorals!!
    2
  42657. Yep math is really cool I encourage everyone learn it more. It's ok to start from scratch.
    2
  42658. Jajaja did you understand it? Lo entendiste?
    2
  42659. This channel is both motivational and inspiring. Thank you.
    2
  42660. A combination of books and online lectures are helpful to me. I'll self study via books and then look for a relevant lecture on YouTube for deeper understanding. Your channel, Brian Logan, 3Blue1Green, Mathologer, and Numberphile are great channels in their own regards. Organic Chemistry and Khan Academy are also great. Your channel I feel helps with metacognitive strategies and the others get into the underlying theory and applications.
    2
  42661. Американцы открыли для себя Выготского. Что ж, поддерживаю.
    2
  42662. Thanks
    2
  42663. classic book
    2
  42664. Have you read 'How to solve it'? I've been greatly enjoying it.
    2
  42665.  @TheMathSorcerer  your welcome.
    2
  42666. The book problems are nothing like I teach, so I want you to do all the problems in chapter 2 and 3 and I want that by tomorrow
    2
  42667. The best was drawing a picture. That was pretty much the lecture I got on my Calc 3 class xD
    2
  42668. Wow
    2
  42669. Really cool. Kind of mind boggling how much calculus is out there.
    2
  42670. Another reason would be, their definition of "learn" is different. For some, rote is considered learning while others require to define it by having intuition on top of rigor. The latter simply requires more time and effort.
    2
  42671. Just when I was looking for books while going for both axiomatic and naive set theory! Thanks Math Sorcerer! I have found Axiomatic Set Theory by Patrick Suppes quite useful. If someone is looking for an authoritative view of axiomatic and naive set theory, preface of Halmos's book is the place to look.
    2
  42672. 🤯
    2
  42673. Simple and nice presentation. Thanks .DrRahul Rohtak Haryana India
    2
  42674. thanks :washhands::washhands::washhands:
    2
  42675. That's the same thing I told to myself. I am going to teach myself math. 💪
    2
  42676. How's the guy doing now?
    2
  42677. It really helped👍👌
    2
  42678. It is possible that you make a video about study techniques or improving your problem solving ability? I love the way you explain things
    2
  42679. I actually love you sir
    2
  42680. Many of these books i have read
    2
  42681. Burnout is natural for any field. I think that math is one of the nicest though because I can feel burnt out, have no motivation, take a forced break, and come back with something new and original! Math videos are always fun to make too. There is just so much room for growth in learning math, both mathematical and mental.
    2
  42682. Studying in the car could be a solution. Drive to an empty park and crack those books.
    2
  42683. why is speed important? Don't you think that simplicity and elegance are more?
    2
  42684.  @TheMathSorcerer  I love simplicity, it makes things so clear.
    2
  42685. Why are you liking every comment 🧐😂🤔
    2
  42686.  @TheMathSorcerer indeed 😂😂...❤️
    2
  42687. 😂😂 it's ok ... You are so good 😍 ❤️😂😂
    2
  42688.  @TheMathSorcerer  ❤️ you too
    2
  42689. CAL COO LUS
    2
  42690. Men I love books especially when the content is educational!! Those books makes me jealous and at the same time motivated
    2
  42691. You want the proof? You can't handle the proof.
    2
  42692. Eres un crack 👍
    2
  42693. you know what is truly 'epic'? controlling those trapped in muscle tissues with electromagnetic currents. makes you appreciate Chinese sorcerers, Mr Math wizard
    2
  42694. Thanks a lot..so grateful. I also watched your videos on subspace, you explained really well and made it easy.
    2
  42695. thanks
    2
  42696. Very helpful thank you sir
    2
  42697. love the shirt
    2
  42698. Does it matter if it's college algebra or college algebra essentials?
    2
  42699. i just got a position for a physics reu at umich today and im super excited, was pretty sure i wasn't gonna get into any of the programs i applied to. can't wait.
    2
  42700. Gordon Talge you hate geometry? That is unbelievable and I am surprised! I did mechanical drawing in school and that taught me to love geometry. Mechanical drawing actually taught me the theorems of circles, triangles, arcs, etc. It taught me scales and perspectives too. At home, I still have a tee-square (mine is aluminium, lighter weight than wood). I don't use it as much as previously, since I am using Inkscape for digitally drawing geometry. It is a FREE open source software. Every mathematician should have Inkscape on his or her PC.
    2
  42701. The Math Sorcerer what college did you attend, when did you get admitted to college and you mentioned bachelor degree in mathematics or sorts but did you attend the same college did you study abroad were you an international student
    2
  42702. My biggest problem is self discipline, I get distracted very easily
    2
  42703.  @TheMathSorcerer  omg 🤩 thanks sir for replying...
    2
  42704. Sir,could you plzz suggest best practice book for differentiation.
    2
  42705. Very cool. Thanks.
    2
  42706. I think one should definitely have this book.
    2
  42707. We have discrete math in high school
    2
  42708. absolutely right
    2
  42709. Hello Sir, I am 12 years old/ am in class 7. I love mathematics and want to be great at it. I want to master mathematics and also win Olympiads like IMO. What books and resources would you recommend for me?.
    2
  42710. Who is this guy in real life? A proffessor or something? He knows a lot both about mathematics and students mental.
    2
  42711. Love your videoes..
    2
  42712. That’s hilarious! . . . I have physics professors that do some of the same things too.
    2
  42713. that was usefull thanks
    2
  42714. Awesome video, could you do one on Math Olympiads( for beginners)
    2
  42715. Ahhhhh!!!! its so nice .
    2
  42716. I liked Jamsa's C, C++, C# Bible. But the reader must compensate in places for some differences between the versions in the book, and the version of one's compiler.
    2
  42717. Thanks ordered
    2
  42718. This was really funny
    2
  42719. 🇯🇲
    2
  42720. Bro blink ffs😂
    2
  42721. Trust me that triple integral is quite easy one - My prof. And students be like WTF.
    2
  42722. Why do professors make learning math so difficult! Thanks btw!
    2
  42723. Did I hear all nighter?
    2
  42724. Thanks for sharing dude. Your videos are a huge motivation!
    2
  42725. i bet the 100 he got was in calc 2
    2
  42726. Plz upload video on kelin group in algebra-1.
    2
  42727. God bless you
    2
  42728. Please, more vedios about proves actually we need a series.... Thank for the great content and respect from Sudan Africa
    2
  42729. Thank you so much!!
    2
  42730. From where did you buy all this books? From Bookstore?
    2
  42731. Would you rather: Have to do all he problems in the book as an undergraduate... ...or... Spend 2 years trying to find a mistake in a 90 pages proof as a phd student? Choose wisely!👀
    2
  42732. one of the best videos. on point and the explanation gets better as the video progresses. could have made 4 videos with this content.
    2
  42733. Killed it with the music chief!!
    2
  42734. Calc 2 is hardest, but I found the disk/shell method easy - it just clicked in my head. Series and Sequences are the hardest to assimilate. The various trigonometric integration methods are difficult to understand and remember. Calc 3 is easier to grasp because it applies to more concrete problems - its just easier to conceptualize. I spent a few years in self instruction through video courses and online texts, and ultimately proof-read parts of an online calculus 3 text for a University professor. I don't think I could have done that for calculus 2.
    2
  42735. I can tell that you have the third edition of the book, which is the one I read through (and really need to reread)
    2
  42736. Thank you
    2
  42737. What do you think of Körner’s A Companion to Analysis?
    2
  42738. Crazy how accurate your statement is of France. It is true your study field is basically conditioned by an exam. He got acceptance into a chemist school but not a math school, and went on from there
    2
  42739. Good👍 TutorStats
    2
  42740. Yes. That book is still available. There are plenty of copies on eBay. Not sure if its okay to say eBay, but its if not okay, I'll understand if the comment is removed. They have Humongous Book of Algebra Problems, Humongous Book of Calculus Problems, Humongous Book of Word Problems, Humongous Book of Trigonometry, and Humongous Book of Geometry. I do plan on ordering all those books when I can.
    2
  42741. As a math major this video gives me anxiety
    2
  42742. host some games of league with the fans lol
    2
  42743. I kept getting wrong answer from wolfram alpha lol, it kept giving out d/dt (ln (t(b-a))) = 0 instead of 1/t for some reason.
    2
  42744. Thank you so much. Well explained 💖
    2
  42745. You have an excellent opportunity to experience the JOY of self deprivation with your bodybuilding hobby. Have you ever gone on a cutting diet? Getting truly shredded is a brutal process, but I can pretty much guarantee you that if you can tough out a month or two on 1200 daily calories of eggs and apple, you'll look like you stepped off a magazine cover. Sure, by the end of the process you'll need an O2 tank and IV coffee bag just to walk to the end of your driveway, but by golly, you sure will LOOK like Mr Fitness 😂
    2
  42746. Hi professor Please recommend books for abstract algebra,topology.
    2
  42747.  @TheMathSorcerer  thank you professor. Any recommendation for advanced analysis??
    2
  42748. I'm looking at learning abstract algebra to help further my abilities in chemistry, do you think that has any rational thought behind it or does my lack of understanding of the subject of abstract algebra perhaps make the utility seem much greater than it really is?
    2
  42749. kkk It even smells good
    2
  42750. I love maths but I'm dumb 😫
    2
  42751. Not just math, it's the same when it comes to life
    2
  42752. I actually like Sheldon Axler's book much better. This one just lists the formulas without going into any reasoning behind them.
    2
  42753.  @TheMathSorcerer  Thank you very much!
    2
  42754. Thanks for this great video. In the same context we have': |-a|=a ?? Hhhh
    2
  42755. I got recommended this video during my third year of a math degree... What is YouTube trying to tell me lol But since I'm here, a more general book to help you study sciences but also any other topic: "a mind for numbers" by Barbara Oakley
    2
  42756. I get anxious when I hear stuff like this .. running out of time , it’s kinda scary
    2
  42757. Do you feel that doing khan college algebra is enough to ready for calculus?
    2
  42758. Can you come teach me calc and calc 2 lol youre literally so funny and I love the energy.
    2
  42759. 6:33 "commutative field"? aren't all fields commutative, it's in the definition
    2
  42760. Happenings have reactions
    2
  42761. Thanks will start number theory today 😶‍🌫😶‍🌫
    2
  42762. For really HARD* maths problem best thing to is HANG ON cuz you never know how close you have come to the solution (at least that's what works for me) 👍 Other than that mr sorcerer knows best...
    2
  42763. Great Video as always! nice and long too, the longer the better in my opinion.
    2
  42764. How can the absolute value of x be anything other than positive ? And how can x squared be anything other than positive before you take the sqrt of x squared even as x approaches (- infinity)?
    2
  42765. #1 batshit crazy hair
    2
  42766. It's a great book to clear all your basis before diving deep into specific topics. Enjoy
    2
  42767. Idk why am I watching this. I'm a zoology major.
    2
  42768. Being 14 and not being able to do pre-k math make's me want to no continue with my education anymore.
    2
  42769. Lashanah tovah! I have been enjoying your comedy videos. Thanks!
    2
  42770. My probability professor said the same thing. We don't really get good at math, we just get used to it.
    2
  42771. That's interesting you talk about the subtopics of math by using the props of textbooks!
    2
  42772. Math Sorcerer, what's your opinion on the highly acclaimed Visual Complex Analysis? Thanks! https://www.goodreads.com/book/show/149800.Visual_Complex_Analysis
    2
  42773. f(x)=3(x+2)^2-7 whats the inverse of this?
    2
  42774. The probability of you being seriously ill when contaminated by the Corona virus depends on your age and existing health situation. For a young child this chance is in the neighborhood of zero. For an 80 year old diabetic patient it is more in the neighborhood of 20%.
    2
  42775. 🤔🤔 Actually this what I can fathom as an engineer 😁 even though some bad-ass math person may say this problem has two limits, not only one!!
    2
  42776. Hello Mr. Sorcerer, I am currently taking Calculus courses, and planning to take Linear Algebra after Calc, should I learn proofs as a pre-req for Linear Algebra? And is it possible to take Linear Algebra after Calc1?
    2
  42777.  @TheMathSorcerer  thank you for your reply, really like your Calc courses on Udemy by the way.
    2
  42778. Hi, oh its so nice to see you again i once commented in 2022 and got a reply . I was building myself up then. Now i see your video and i am yet again reminded i have let my self drift away in existence i stopped all the learning and got tied up with working a bad job. So much catching up to do . 25 soon
    2
  42779. Proofs are killing my graduate school career in computer science. It takes me ages to read and understand proofs, especially when probability gets involved. Writing one just seems forever out of my reach.
    2
  42780. interesting thought
    2
  42781. which book is he following?
    2
  42782. The ad shown up in this video is enemy of this video. It's saying "What, still watching YouTube for mathematics. Are the videos from 2006 are helpful? Take our course...". The books in this video are lot better than that course.
    2
  42783. this video is a treasure!
    2
  42784. On my way to buy these 🤩🤌🤌
    2
  42785. One way is to see the same material from multiple angles, at multiple times, in multiple presentations. Your brain will make the connections, and eventually you’ll click.
    2
  42786. This would maybe be numerics. But most math courses are much more theoretical than this. The "End of the world" joke was good tho
    2
  42787.  @abhinavmeda5042  From a previous Math Sorcerer video https://www.youtube.com/watch?v=YBXDhD-99rw
    2
  42788. You should read “Make it Stick” it talks about learning. And mentions how massed practice just gives you an illusion of mastery. I found answers there for my own problems with studying.
    2
  42789. Excellent insights. Same rules apply to coding :)
    2
  42790. When Amazon's CEO, Mr Jeff Bezos teach you mathematics but a little bit hairy version of him😆
    2
  42791. Thanks
    2
  42792. THANK YOU SO MUCH !!!!! ♥♥♥
    2
  42793. My stopping point was differential equations, I hope to one day pick up where I left off.
    2
  42794. Is "math" what we call "maths" in English?
    2
  42795. Thanks Sir!!!
    2
  42796. Complex analysis before real analysis?
    2
  42797. Very cool .. elegant Also very short (in a good way, beacuse there is a condesnsed real juicy information there)
    2
  42798. You continue to upload videos in real analysis? This is great i watched a couple of videos and it ecourges me to write it (or , advenced calculus)
    2
  42799. Gosh that is so me
    2
  42800. Justify all the steps when we prove. Thank you for your advice.
    2
  42801. I trust you all 3things you recommended! I do agree with you all your points. Many thanks this for good advice and sharing your experience for us. Love the way you are ❤️
    2
  42802. Oh great , Sir Thanks a lot 😍
    2
  42803. ❤❤
    2
  42804. How do you get those books so cheaply? I keep scouring and searching (actually got Baby Rudin for a price I found reasonable, but much higher than 5 dollars...). Looking for Papa Rudin now, and nowhere is it to be found at a cheap price...
    2
  42805. Hey I needed some of your advice math sorcerer , I am a nuclear chemistry student and I study nuclear energy as a minor , but math seems to be my weakness. I am strong in science and understand the fundamentals and how things work even at a quantum or particle level. But I am just horrible at math lol , I don't know what to do. I feel like giving up sometimes because I feel like I'm half a scientist because I suck at math.
    2
  42806. 1 million subs tomorrow!!! Believe me💪💪💪
    2
  42807. Muito simples de entender... Obrigada pela explicação
    2
  42808. Because some people have more intuition than others
    2
  42809. Dear Sorcerer, I'm thinking of challenging myself to work through Rudin's Principles of Mathematical Analysis and Munkres's Topology (only the "general topology" chapters). Do you recommend I do Rudin first and then Munkres, or the other way around? (I am familiar with basic set theory.) Many thanks!
    2
  42810.  @TheMathSorcerer  Got it, thank you :)
    2
  42811. These books are really expensive, does someone know where I might get a bit off the price?
    2
  42812. Any two of these usually help...lol https://www.liquormart.com/liquor/minis
    2
  42813. U ARE HILARIOUS.....I LOVE UR VIDEOSS
    2
  42814. thank you
    2
  42815. You are the best! you saved me!
    2
  42816.  @TheMathSorcerer  more videos on calculus please : )
    2
  42817. I like your teaching style. You are a fun teacher as well.
    2
  42818. Once again you have saved my life. One question. Are they associative? Like if you have more than two cycles can you use associative?
    2
  42819. The damned second edition, the one that made Prof. Knuth to create TeX.
    2
  42820. This really changed my mindset towards math
    2
  42821. Govt. Math: amusing
    2
  42822. Thanks so much for the wise words <3
    2
  42823. This advice is invaluable. I could have used this last year. I will remember this moving forward in my studies. Priceless advice.
    2
  42824. Sir Thanks with sincere regards for informing a very good book .DrRahul Rohtak Haryana India
    2
  42825. I'm a bit late to the discussion but I believe the biggest reason people at least in the U.S fall behind in math is because it's very linear, If you missed yesterdays class todays class is gonna be much harder, it builds on yesterdays class. Most kids won't be glued to the teacher, they will be in the back of class goofing off, Not all the time of course but enough to where it has an effect. Combine this with not wanting to ask question do to fear of embarrassment, a lot of kids not making up homework on lost days, and math just in general being one of the harder subjects and I think that makes up a lot of the issue. One missed day or a few minutes talking to your crush and you've missed something, and then you don't fully understand the next thing, and then you understand the next thing even less and before you know it your completely behind. I don't think this is everything of course, most complex issues can't be ascribed to a single problem but I think it's a bigger one. A second big issue is lack of really good teachers, I think this is and issue across all subjects. Most people have one or two teachers they can look back on and say "That teacher was super cool" and they would probably admit to doing better in those classes then others, It's unfortunate most of us only have a few teachers we can say that about. It's not that others are bad but they don't have that passion and fun to them that the great teachers do. Anywho, sorry for the long winded comment but as something that did not do well in school and had to teach myself most things when I got into college I think these are some of the biggest ones, I did poor in all classes except maths, and as I got into HS I did poor there too but videos like these motivated me to go back and relearn most things and in the end I think I came out better then average for it.
    2
  42826. I have a question im a maths student in third year how can I self study dynamics because it's Soo difficult I don't understand a single thing
    2
  42827. Someone watched Office Space during lockdown!
    2
  42828. Super-impressed to see Dettman's Applied Complex Variables in and out of view on the shelves. Old fashioned (1965) and not without its rough edges but still a very thorough treatment of the higher applications, particularly special functions and transforms.
    2
  42829. Math is like a true poem.... make some log of love to them....:)
    2
  42830. An advanced calculus book which is even better than Buck Creighton is by his student Harold M. Edwards "Advanced Calculus a Differential Forms Approach". It's unquestionably better but it isn't for everyone and it involves approach things very differently using constructive mathematics. There's a lot of computation but there's actually MORE theory and much stronger proofs in this book. The catch is you just can't use this book for any class and you must read it thoroughly yourself first.
    2
  42831. No.
    2
  42832. Lol 🤣 u were too good
    2
  42833. zzz
    2
  42834. Hello sir my name is kamleshdutt. Sir these days I am having bad days, I am not able to solve maths question. I feel like tearing the book and throwing it, please answer in 2 days . Please reply my answer through the veido
    2
  42835. you have commented 51 times on his channel should have just go through some solved examples instead of begging advices from a stranger
    2
  42836. i know the words sound like they have meaning but what is it?!
    2
  42837. Do you recommend Real Mathematical Analysis by Pugh?
    2
  42838. I relate to this on a deep and painful leve. Bringin back some very disturbing memories of tryna take a ODE/linear algebra exam when my proctor system wasnt working
    2
  42839. Miss the old cover, looked more like ancient wisdom in a book
    2
  42840. load letter got me busting lol
    2
  42841. I'd like to study complex variables. I'm reviewing calculus right now, so I'm not quite ready yet, but I'll definitely check this book out when I'm ready to study the subject :)
    2
  42842. Please sir make a video about books that have so much problems and Questions for algebra and calculus
    2
  42843. I say, throw it against the wall, and see if it sticks.
    2
  42844. 💥💥💥💥💥
    2
  42845. $10 books 🤣🤣🤣🤣
    2
  42846. First conclusion after watching the video: You are a great person. (Apologies for my writing, my English is not very good and I used the translator.) Greetings from Argentina. Fernando. P.S. Have you read Everything and More by Foster Wallace? I can't find it on your channel and I think it's an interesting and pleasant approach to mathematics written by no less than a novelist.
    2
  42847. Thank u sirr...it's really clear my..dought ...t q
    2
  42848. Nice! I have both the first and second course in calculus books by Lang as well as his Linear Algebra. I also like his style, it's easy to read and understand. Thanks!
    2
  42849. I'd like to see that review, too. My "Honors Calc" class used Apostol, and I've carried them with me for 40 years hoping that some day I'll go back and understand them.
    2
  42850. use pen for speed. when you do alot of problems you gain a sense of how to do problems also all that math will show up somewhere
    2
  42851. If you are serious about embedded systems, you need C - although there are C++ and Rust partisans.
    2
  42852.  @TheMathSorcerer  thank you
    2
  42853. Visit Open Library. There, you can borrow ebooks digitally. Membership is free. Digitally borrowing is free as well.
    2
  42854. 😢😭
    2
  42855. I had a minor in math, and the most difficult course for me was linear algebra. It was very heavy in proofs.
    2
  42856. thanks!!!!!!!
    2
  42857. Try mathematics analysis by Tom apostle
    2
  42858. From one adult student to another, I can empathize with you on the critical professor. Having said that and echoing the Math Sorcerer and Dee Snider, What do you want to do with your life? Besides Rocking, of course. It seems to me you're thinking more about the creditals and not how to employ them, there a lot of directions you can go with a math degree that doesn't require a doctorate unless working in acedmics is goal. Work-life balance is always a struggle, you're no loser, chase your excellence and your other half will respect you for it.
    2
  42859. Books on the topic are difficult to find. I recommend Linear Systems and Signals by Lathi. It took me some time to process Fourier Transforms. Bracewell's book "The Fourier Transform and its Applications" might also be something you're looking for. I recommend a complete understanding of complex analysis before studying frequency spaces.
    2
  42860.  @ottoomen5076  thank you
    2
  42861. First!!!
    2
  42862. IN INDIA U NEED TO STUDY 10 TIMES MORE CONCEPT THAN AMERICANS SCHOOL IN SAME GRADE
    2
  42863. This is Taylor Series?
    2
  42864. “And uh ill leave it to you to decide if that’s correct” 🤣
    2
  42865. Great collection.... ❤️
    2
  42866. Thank you so much:'(
    2
  42867. I am India
    2
  42868. My discrete mathematics professor in college called it "Mathematical Maturity".
    2
  42869. So like what's pc load letter lol
    2
  42870. me watching this video while i procrastinate
    2
  42871. Looks like Jeff be so with hair
    2
  42872. THANK YOUUUUUUUUUUUUU!!!
    2
  42873. Thank you very much
    2
  42874. was just eating a chocolate ice cream while watching, definitely not unlikely!
    2
  42875. Please make a list of these books
    2
  42876. Yes
    2
  42877. In my opinion this is a bad practice to combine two different math sections because before u learn how to solve diff u have to learn integrals and derivatives and before this u need to learn linear algebra. But thanks for this review, it was interesting to watch.
    2
  42878. I love your channel. I left science for law 24 years ago but your content applies to all disciplines. Also, even though I am a lawyer I still have an interest in science and math.
    2
  42879. thx man,it really helped me
    2
  42880. Ngl but your story is completely the same as mine. Starting from the very basics like fractions,decimals to percent, etc. It feels like your dumb af cuz you need to go back to the basics but I realized that the most complicated things in this universe always came from the easiest. I also felt that I'm completely left behind because of that but of course it's gonna be worth it at the end more than I can ever imagine. That's why I see myself to you. Thank you very much!
    2
  42881.  @TheMathSorcerer  How did you get the name "The Math Sorcerer"? Where did it originate from?
    2
  42882.  @TheMathSorcerer  Ok.
    2
  42883. I'll come back here in a year and tell you how much I have learned
    2
  42884. You are PERFECT thaaankkk uuuuu
    2
  42885. A quadruple integral is the end of the world.
    2
  42886. 7:25 Can confirm. Maybe the best math book I own as an undergraduate.
    2
  42887. I currently am in calc 3 along with classical physics and meteorological classes, so it can get a bit overwhelming. I enjoy your inspirational videos on math. Math is a subject I viewed very grimly and intimidating back during freshman college year, but now it’s changed quite a bit, and I must say I am quite surprised I made it this far. I have only one more math class to take next semester which is differential equations. Love your work.
    2
  42888. You guys are lucky. The best Maths books we could get in Africa up to 90s were from Russia. From the famous MIR Edition
    2
  42889. Positive psychology is rife with phrases like "age is just a number", "you can do anything you put your mind to", and "there are no limits to what you can achieve in life". These memes are all over the internet. They are devoid of nuance. This video speaks to a larger point about aging, human capacity, and the enjoyment of activities that are meaningful to us. It has been documented scientifically that our ability to perform in certain areas does decline with age. When Muhammad Ali fought Larry Holmes in 1980, Howard Cosell said something to the effect that "the physiology just isn't there". Father time affects us both physically and cognitively. Mathematics relies on certain cognitive abilities such as working memory, executive function, and spatial ability which do decline as we get older. Running and lifting weights rely, analogously, on certain physical capacities which also decline with age. But then the question becomes-- both with math and physical exercise -- does this really matter if the said activities are enjoyable to us? Also, these activities are beneficial to us no matter our age. Age is just a number when it comes to partaking in activities that are enjoyable to us, but we may need to adjust our expectations (e.g., knowing your body when it comes to exercise) in terms of what level we might realistically expect to achieve.
    2
  42890. Super simple practical advice But it’s exactly the complete opposite in school, college and university
    2
  42891. Thanks for putting a link for the bookstand!!
    2
  42892. Lol, I just use math-aids site, free PDFs, and YouTube 😬.
    2
  42893. You are a fabulous teacher Ty
    2
  42894. I had to take that class twice. I was not ready to dedicate the time for homework the first go at it and got a D. Second time around I was a percent away from an A. But, it was not easy. It was definitely a weed out class. However, that class opened up a whole new way of thinking for me. I’m happy I didn’t drop out of majoring in Math Ed.
    2
  42895. Gracias, jajja
    2
  42896. Very helpful thank you
    2
  42897. Thank you 😊 Got the 💡 concept easily
    2
  42898. Plz make a video on maths exam stress...Because I observe when I solve ques casually it got it and when I do it same in exam I don't able to do it I .....(not explainable)
    2
  42899. Great advice! 🙏🏾❤️
    2
  42900. The advice i didn’t ask for but needed to hear. Thank you mysterious wizard man
    2
  42901. Thank you for this i really need this . This made me realize that working in my dreams, i just have to believe that its possible and i will accomplish it.
    2
  42902. thanks
    2
  42903. oh my gosh, i have to teach myself stats and you helped me understand tremendously! thank you v much!
    2
  42904. Why is it that I always fall of to sleep watching your videos? Do you know when else have I ever fallen off to an abrupt sleep? Once, while undertaking a psychology lecture from a wizard of a professor of psychology in a class of only three other students. Then I've fallen asleep abruptly while listening to online/offline science-maths lectures very close to my heart and triggering very complicated set of reasoning/thoughts in my head - thoughts so complicated that my head probably couldn't bear thinking of them. And then I've also fallen asleep when somebody I know, even though located remotely, has been thinking about me. I know that they would've been thinking about me, mostly in a loving/caring way, because of sharing some information/communication with them moments before I fell of asleep. Anyway, today is a warm day, and these could be my random ramblings just after waking up from a short afternoon siesta. Good afternoon.
    2
  42905. Do you have any books about math that is primarily used in finance?
    2
  42906. Totally get it but how did it become n? Is it a personal choice? Can I use other letters too? Can I use k in both x and y? So it will be like x + y = (2k +1) + (2k + 1)
    2
  42907. Professors be like "don't worry about it"
    2
  42908. Have you ever created a video that demonstrates how to manually calculate the square root of an imperfect number? That is, a number that is not a perfect square.
    2
  42909. Excellent advice.
    2
  42910. Great stuff!
    2
  42911.  @TheMathSorcerer  hey i have a question, what is the domaina of sin(sin(x)), it is part of my homework :), if you could answer it would be great! peace <3
    2
  42912.  @TheMathSorcerer  ah yes, i am smart :))
    2
  42913. It is interesting that some authors teach integration before differentiation. . . . One dollar and twenty five cents, and CLOTH!
    2
  42914. I look forward to these videos everyday.
    2
  42915. thank you very much. This helped me a lot :)
    2
  42916. Immediately I've expected I would enjoy learning mathematics after finishing the video-,-
    2
  42917. You would take this after real analysis, right?
    2
  42918. Thx sir so helpful
    2
  42919. Absolutely amazing video, extremely helpful!
    2
  42920. Perhaps nutrition is also important. Omega 3,6,9 .
    2
  42921. Hola, puedes subir los dos videos de este tema en español
    2
  42922. Good travels Math sorcerer ❤ New Adventure begin!
    2
  42923. dang! nobody talked about the even and odd exponents! thanks!
    2
  42924. If you take the challenge, your hair will get better! 😮 That's a dark truth, alright!
    2
  42925. Sorceror please answer my question. Is it ok to enjoy maths without doing research? But what’s the point then? For me it seems enjoyable but futile. I am feeling bad about myself for not being talented like these mathematical legends. 😢
    2
  42926. Thanks for all of the book recommendations. I would like to recommend one of my favourites. Memoranda Mathematica by W. P. Workman is a wonderful book.
    2
  42927. You can even read maths reference books used for JEE and GATE exam.
    2
  42928. U r greaaat sir🙏
    2
  42929. Hi, I've never encountered a problem like this yet (very early on in college math, haven't done any self-study) but your explanation was very clear and I understood the problem perfectly. I'm confident I could attempt these now using the logic you've provided, so nice video!
    2
  42930. Where are the links to the lectures ?
    2
  42931. What an amazing video to stumbled upon <3
    2
  42932.  @TheMathSorcerer  I am new to your channel so I didn't know.
    2
  42933.  @TheMathSorcerer  do you still know Spanish?
    2
  42934.  @TheMathSorcerer  Well to be fair, the most popular videos are videos that are in english.
    2
  42935. I’ll be trying out your classes
    2
  42936. Thank you so much sir!
    2
  42937. My friends are my role model, I watch them being so smart and capable that made me want to be like them. They don't study math so they can't really help me with problems, but I learn how to be patient and keep trying from them. Good video.
    2
  42938. 5 classes is better than 7 every semester
    2
  42939. In the uk this is simultaneous equations
    2
  42940. You look like Jeff Bezos with hair
    2
  42941. Real analysis is damn hard for me. But it's only the start. So yes maths is hard and i'm enduring it.
    2
  42942. My role model is Emmy Noether. It was forbidden for a female to get a Prof. Degree in Germany. She held lectures at University of Göttingen but the official lecturer was David Hilbert. She founded modern Algebra (noetherian Rings are named after her). Another legendary Mathematician is Evatiste Galois who published his Galois theory with the age of 17-19 (i dont know exactly) and shortly afterwards he died in a Duell with the age of 20.
    2
  42943. thank you !
    2
  42944. Is college algebra course , precalc too? Would I be good enough for calc after taking that?
    2
  42945. Very good sir. Thanks
    2
  42946. Hello my friend ❤
    2
  42947. What book you recommend me if i am brand new to programing
    2
  42948. Wait, you guys can actually retake exams?
    2
  42949. Thanks to you i can peacefully sleep through my 8Am DE Class :)
    2
  42950. I somehow managed to get through math in high school with very good marks, but I honestly couldn’t tell you how, or how much I understood about what I was doing. I just used the same formulas for the practice problems over and over until I could do it on command, then promptly forgot it all by the next year. I barely got to algebra 2 and trig before I moved countries and graduated with out ever even learning what calculus WAS. Recently I’ve been watching a lot math YouTubers that take fun math concepts and visualize them really nicely (think 3blue1brown, veritasium, Matt Parker etc) and am starting to get hooked on the recreational math thing!! But first I need to learn math… this video was insanely helpful on helping me organize my path!! If only I could stop having to move thousands of kms every damn year so I could actually buy all these heavy textbooks, for now I’ll settle for scraping the internet for PDFs :’) one day my bookshelves will be full!
    2
  42951. Sir I know how to handle real analysis problems and I know metric spaces(upto compactness). I want to learn topology and functional analysis on my own. Can you please help me how to begin and what books should I do first? And also if I get stuck somewhere where can I get help?. Thank you very much sir.
    2
  42952. It's also relevant that only certain calculators are allowed for the ACT, which is a big reason schools standardized on the 84
    2
  42953. I have been looking for you all my life. Thank you Math sorcerer.
    2
  42954. Do random stuff works for me
    2
  42955. Totally reminds me of the Rodney Dangerfield movie BACK TO SCHOOL where the oral final exam has the Economics professor say : "I have only one question {pauses}... in twenty-seven parts..." Now that you'd done that Harvard easy class, do the hardest math course on the planet... Harvard's infamous Math 55. Homework levels were like 30-50 hours a week meeting in Thayer hall.
    2
  42956. I ask a favor .... to open the content menu to know the topics inside every textbook Thanks for the so useful video
    2
  42957. Im from Mexico I’ve been following this guy and he is incredible and nice person. Thanks a lot..
    2
  42958. I recently found your channel and started studying the discrete math book you recommended. I feel happier now and less depressed. So thank you.
    2
  42959. Noted, next time I need a break I know what to do.
    2
  42960. Ordered 🙏 Merry Christmas and Happy New Year. I’ll keep you posted on my journey from frightened novice, to Math Sorcerer 🧙‍♂️
    2
  42961. On Abebooks, it's much more expensive than the Stewart or Larson texts.
    2
  42962. i see bird i like
    2
  42963. Didnt know Jeff Bezos had a brother😂😂
    2
  42964. Vertical line
    2
  42965. I found a copy of the 2nd Edition of this book on ebay for $14. It looks like a great book, interestingly the original owner had his name in the front cover and he had a note page from his company and I was able to track him down on linked in and sent him a surprise email that I have his old book! I always wonder what happened to my old books that I no longer own.
    2
  42966. also why delete the previous video?
    2
  42967. Thank you for your videos, you give me motivation 🙏🏻🙏🏻 and congratulations on reaching 1 million subscribers 🙏🏻🙏🏻🙏🏻
    2
  42968. Well done 👏🏻
    2
  42969. I should probably watch this every day until I have established the habit of doing at least one problem daily :) Thanks.
    2
  42970. However, US math graduate schools are on the level with the rest of the world. Why? Many faculties and students are from outside of US.
    2
  42971. 🚀🚀
    2
  42972. Your so much help!
    2
  42973. I wanted A+
    2
  42974. Hey Thank You Very Much
    2
  42975. Thank you teacher, next week it's my birthday, i'm currently studying Data Science in University and this video it's a great fount of inspiration!
    2
  42976. thank you sir
    2
  42977. Absolutely. Insanely avid. 🙂
    2
  42978. Got a B in advanced calculus and an A in my differential equations class this semester. Advanced calculus definitely made me experience math burnout so I literally didn’t touch math for a week after my last final. Now I’m slowly studying ahead for my theoretical physics class (math methods for physics majors) by starting with complex analysis. Thank you for the advice math sorcerer and I will incorporate it into my study habits.
    2
  42979. I’m never taking a class the first time it’s offered again for the rest of undergrad . Our advanced calculus class was hellish because of it.
    2
  42980. Words of wisdom and nice intro/outro!
    2
  42981. See them who wacth you play guitar having the feelings you want them to feel feel it it will reflect in your playing😊
    2
  42982. Nice sharing
    2
  42983. I'm trying really hard to find this book but it isn't available in my country ig. I found the pdf tho and I'll try to read from that.
    2
  42984. man thank you soo much!!!!!
    2
  42985. false. I studied math before entering engineering. I found pure math courses so tough especially the proving parts. So far I haven't felt the same intensity in my engineering courses as much as I felt when I was majoring in math
    2
  42986. Ty so much now I am a pro at is ty so much
    2
  42987. Sorcery!!
    2
  42988. that's really helpfull
    2
  42989. Note to self: putting Munkres on a thumbnail is good clickbait
    2
  42990. Zen math - another way to flow & peace. Straight up meditative absorption. 👌🏽
    2
  42991. The first edition of Schaum's trigonometry includes spherical trigonometry; however recent editions they removed this part.
    2
  42992. Wow. Thank you
    2
  42993. Dude, what level of maths do you need to start this? Certainly not for a beginner as your title suggests. Serious question!
    2
  42994. I'm approaching the end of my postgraduate research studies and it looks like I'll get a Master's instead of a PhD (due to mental health issues getting in the way). I feel like giving up a lot on the PhD front. I might have to start again elsewhere. Luckily, here in the UK, they're rolling out government doctoral loans, so I could try again cheaply. Thank you for making this video. I needed the motivation. I find your content inspiring, so, again, thank you.
    2
  42995. I Totally Agree. Reading Maths Book is Not like reading A Fiction Book. Careful(serious)reading is Necessary.
    2
  42996. Nice feedback
    2
  42997. Technical analysis is voodoo. It's the financial equivalent of numerology.
    2
  42998. thank you math sorcerer you are a truly magical
    2
  42999. Anyone else think he looks like Jeff Bezos?
    2
  43000. That muscle tho
    2
  43001. Thank you sir
    2
  43002. Thank you so much Sir... May God bless you 😊
    2
  43003. hey math sorcerer! hope ur doing good. i'm micah, a big fan of your math vids. im 15 now, i wrote an email a couple months ago but it didnt go thru, anyways. im freshman in high school, and honestly im really obsessed with higher math. so far, i've read "book of proof," "linear algebra done right," "set theory" by pinter, "calculus" by james stewart, a college algebra book, a game theory book, and i'm currently reading "baby rudin" now. i've nailed down the basics of proofs and set theory. anyways, my issue is that i never learned how to study well. school was boring and easy so i just never did any hw through elementary or middle school. i still ace tests but struggle with homework. my geometry class is super understimulating and i just have no motivation. next year im going into algebra 2 research honors (its a program my school does which is a bit harder than honors.) besides that, i want to be able to balance higher math with the high school curriculum and studying which is another issue🤷‍♂️ do you have any advice for me because i just have no idea what to do. anywaysc have a good one, and thank you! ✌🏼
    2
  43004. Such a worthy endeavour ! 👌 Still feeding from your passion and getting certainty from it. Be thanked for your sharing once more, friendly greetings !
    2
  43005. The great video! Greetings of chile
    2
  43006.  @twist777hz  Thank you I will check that
    2
  43007. The great mathematician Srinivasa ramanujan
    2
  43008.  @TheMathSorcerer  I have watched the entire video few times and copied maths verbatim on copybook. Great video and thanks. 3:24 Second student, Giovanni comes late and you are incredibly patient with him. (I was thereupon imagining Young Sheldon entering classroom late in that student's place and boy, would you ever be impatient with him? Young Sheldon is just a popular TV character, a very comical genius.)
    2
  43009. I have a feeling that his military classmate was Jocko 👀
    2
  43010.  @TheMathSorcerer  yes, before University around the age of 16/ 17ish
    2
  43011.  @TheMathSorcerer  JEE is taken after completing 12 years in school
    2
  43012. Have you read all these books?
    2
  43013. It’s mainly your prof. I’ve had caring once’s that pass me since I show up and try unlike others who fail me over a few % which is bs ok 3% or 4% from wasting my whole 4 months again? Come on
    2
  43014. Memorizing >= Cheating
    2
  43015. This (my second) semester of undergrad. A lot of things that I had seen before as a curious high schooler but didn't really understand clicked for me this semester in advanced calculus and discrete maths. I can finally say, with some certainty, that I "get" epsilon-delta proofs, and that I can prove some of the beginning stuff in number theory all on my own. It's been a really satisfying journey so far (the semester is still going!) and has helped me realise that I want to major in mathematics.
    2
  43016. ​ @TheMathSorcerer  Thanks! I guess time is everything when it comes to understanding math. PS Love your videos. Especially the short ones you make on math books. I can't get enough of them.
    2
  43017. I love algebra, HATE statistics!!!!
    2
  43018. I wonder what his league rank is
    2
  43019. Thank you math sorcerer. You've saved me when no one else could
    2
  43020. I thought for a moment thta you were going to say Topology. Trigonometry is beautiful and i found it to be relatively easy❤️.
    2
  43021. Good book for 8th standard
    2
  43022. Euclid's Elements.
    2
  43023. Tqqq soo much this helped me in math homework☺️☺️
    2
  43024. This Man Will reach the seventh heaven If one day he finds about the pivot boss and the camarilla equation!
    2
  43025. 1st
    2
  43026.  @TheMathSorcerer  I think your problem videos really aren't hitting the yt algorithm sweetspot which is a bit of a shame. I think it would be better if you have a broad general title, for example, "Insane integrals", or even incorporate memes or something, and then just write the specific problem in the description so that it still shows up when people look for that. Papa flammy does that pretty well actually.
    2
  43027. Thank you
    2
  43028. I thought these are just something like collectibles, and to learn actual math, you just watch youtube videos like everyone else.
    2
  43029. How you hold the marker blows my mind
    2
  43030. This channel is a Godsend!
    2
  43031. Wait from 0:00 to 0:08, what about X=3, you have a line and a point but the slope is undefined.
    2
  43032. So 1000000% true.
    2
  43033. Its great
    2
  43034. I've also struggled with working hard but not getting the results. I like how you mentioned YouTube because I recently started uploading videos. Worked hard on my last video that I released a few days ago. Just checked how many views it has, that number was 1. And you know who that 1 view was from? Me.
    2
  43035. The hat with the cam hahaha
    2
  43036. I enjoyed listening to the way you explained this. It was deep. We all have to make a living as well.
    2
  43037. I have Spivak's Calculus, calculus solution manual, and calculus on manifolds. Excellent books that helped me in school. I want to read his Intro to differential geometry and physics for mathematicians, once I'm not spending so much time on my business.
    2
  43038. Thanks man I was having trouble on that one
    2
  43039. I loved mathematics even before the big bang.
    2
  43040. Thanks
    2
  43041. Thanks for this. I took a geology major but I had an amazing learning experience from math, calculus, and physics professors. They really know their stuff and teach them well.
    2
  43042. 1:13 Legendare? you are legendary, buddy ;)
    2
  43043. 3:14, hmmm really? Haha just kidding, you're the man!
    2
  43044. Very helpful and CONCISE explanation, thank you!
    2
  43045. I think it is a combination of subjects. i think it's a triangle : we have discrete math for Graph theory Set theory Combinatorics and Cryptography. we have linear Algebra for those Transformations , we have at the end Advanced Calculus. of course, it is not Absolute , everything we say we need to say it without Absoluteness. but it has some truth in it , we can look at other triangles of subjects and see the beauty and importance . Thank you for those videos i enjoy them.
    2
  43046. Studyception. Self studying ways to self study.
    2
  43047. Yes. Indeed, self-confidence is the key to overcome the challenges and difficulties. No matter what you do or study. Besides that, following wise guidelines and well- managing the skills and time are important as well.
    2
  43048. What about basic abstract algebra by PB BHATTACHARYA, SK JAIN AND SR NAGPAUL
    2
  43049. I wonder what you had to do / say to get kicked out of a Math chat-room! Perhaps talk trash about Euler or Gauss? 😅
    2
  43050. What about for math minors ?
    2
  43051. Thank you so much. It’s really beautiful question.
    2
  43052. Know that you know nothing and nobody else does either. It is far easier to learn when your own bias can be altered by a fact. By putting away a tool when the work is done, all knowledge can be attined.
    2
  43053. Love it when books are concise and to the point cuz imo a majority of the time when books hold your hand through literally EVERY problem, it gets kinda annoying.
    2
  43054. Plz make videos on Group theory.
    2
  43055. What is the model of this pen?😢
    2
  43056. The complex numbers and the hyperbolic complex numbers are both examples of two-dimensional numbers. The sinh and the cosh are the hyperbolic equivalents of the sin and cos that belong to the 'ordinary' complex numbers. There are only two kinds of two-dimensional complex numbers. There are four kinds of three-dimensional complex numbers, and there are no less than 24 kinds of four-dimensional complex numbers. The three-dimensional complex numbers are discovered only recently. The quaternion is only one of the 24 kinds of four-dimensional numbers. I have recently enlisted to your group theory course on Udemy, because one needs to know group theory to master higher-dimensional complex numbers, and my group theory background has become rusty. It is a great course!
    2
  43057. Bet explanation EVER!! Thank you sooo much
    2
  43058. CS20 seems to be the gateway drug to becoming a math major.
    2
  43059. Excellent video
    2
  43060. The birb looks like it knows the proof to the collatz conjecture.
    2
  43061. Good day, I want to apply for a robotics interview but it requires a strong understanding of robotics-related mathematics: Multivariate calculus, Linear Algebra, Jacobians, & 3D vector Geometry. Do you have any recommendations? I would like to have at least a foundation in the above in 6 months. Currently, I have some calculus exposure, albeit not the greatest, some linear algebra, and a basic statistics course. Any help would be greatly appreciated :)
    2
  43062. Very good! It is always good to hear the voice of experience. Someone who is on the same journey and knows that the road is long, very long. This helps not to give up and continue. Guided by a realistic and less immediate perspective.
    2
  43063. Have you ever watched Carl Sagan? The original Cosmos TV series? Or any of his interviews? For me very inspire.
    2
  43064. this guy is gold
    2
  43065. I have a question. I am and want to learn more abstract math, and I have been reading from "Bridge To Abstract Mathematics" by Ronald P. Morash. But after that what's next?
    2
  43066.  @TheMathSorcerer  I see. My exposer to math is very dull, the only reason why I have the textbook is because one of the Cala teachers I had given me all of her books saying I can do it.
    2
  43067. Very accurate
    2
  43068.  @TheMathSorcerer  Thank you very much. I am studying from Thomas's Calculus 13th edition rn. But I face difficulties as the text mainly focuses on being able to do problems rather than understanding the concepts concretely. I try to prove the simple theorems in limit by myself before reading it from the text. I would be really grateful if you could take a look at my proofs and verify them as it will be really elementary and easy for you.
    2
  43069. This is all I ever wanted to know ... I will try my lifetime to complete all these books !!
    2
  43070.  @TheMathSorcerer  Do you beleive that it is possible to learn calculus if you review Algebra, Geonetry, and Ttigonometry but skip Precalculus.
    2
  43071. Superficial not so deep
    2
  43072. All Great pointers! Thanks for the pep talk! 😊
    2
  43073. No books on number theory? Didn't expect this.
    2
  43074.  @TheMathSorcerer  So, what are your advices on number theory?
    2
  43075. Thanks for trying to inspire me and sharing your expertise.
    2
  43076. Really helpful video. Thanks bro....
    2
  43077. It is so helpful. Thank you so much for you words of wisdom.
    2
  43078. Interesting
    2
  43079. Technically, lim sec(x) (x < –π/2, x —> –π/2) does not exist. However, given x < –π/2, x —> –π/2 implies sec(x) —> –∞, insofar as this is just an abbreviation to say that for all real numbers B < 0, there exists some real number δ > 0, such that for all real numbers –δ < x + π/2 < 0, sec(x) > B.
    2
  43080. THE MATH SORECER۔ You are doing great۔ I wish you were my tutor۔ I want to say something
    2
  43081. A Beautiful Mind VS Good Will Hunting. Which inspire you more for doing maths? Ignore PI. It's defeatism.
    2
  43082. Both are amazing films , but Good Will Hunting really played with my emotions especially when Professor Lambeau was arguing with Sean Macguire about Wills future. The funny thing is I would kill to have the relationship that Will was offered by Lambeau. If I was Will, I would have used Lambeaus guidance to help me obtain a bachelors and PhD in mathematics from MIT and then become a world class mathematician like him
    2
  43083. Use a large recipe book holder, page hold open
    2
  43084. Thank you...I've come back here after so many months and still got the same excited n motivated to learn :)
    2
  43085. Hey! I've already got a copy of that book. LOL!! I bought it online. ;) ;)
    2
  43086. Nerd goals!
    2
  43087. Thanks for the review I’ll search for this one.
    2
  43088.  @TheMathSorcerer  Thank you for the recommendation I just got this book, I can't wait to start reading it.
    2
  43089. I don’t understand why this is in my algorithm. I don’t understand a word in it.
    2
  43090. Never!
    2
  43091. And "onto" also means "surjective".
    2
  43092. I think it all comes down to love...
    2
  43093. Thanks a lot Sir
    2
  43094. Who are your favorite mathematicians? Seems like many scientists/economists are good mathematicians too?
    2
  43095. Also, your IQ progresses with growing and exercising. So you might not understand fractions or physics at a young age but throughout life experience, changes in emotion, and interest, things become mentally easier. I don’t know, maybe the brain develops faster for some than others. There’s also this thing where you see smart students scoring 90’s in high school and failing university... for this I can’t explain, even if the IQ drops with aging, it doesn’t drop significantly say 110 to 70 and some believe IQ is fixed and may not improve but they all agree that IQ will drop once reaching the years of elderly. I believe it’s because old people refuse to learn new things...
    2
  43096. lol rich people: money its not important math people: iq is not important
    2
  43097. Thank you boss for this kinda inspiration... actually i love mathematics but sometimes i feel like i shouldn't love it bcz I'm not able to understand mathematics...so that i fall in depression... however,take love from this bangladeshi❣️❣️
    2
  43098. ❤️🙂
    2
  43099. ... or was it? 😏 Yeah, just kidding - of course it was!
    2
  43100. Ah yes, (P' U Q) <=> P' (where ' is the complement). Love the relationship between set theory and logic.
    2
  43101. I think that the Distribution of time is far more Importent then the speed of learning. Its a matter of how the attention is divided. For some it is far more Importent to avoid conflicts at home, or socilize. When the environment Seelsorge save etc. There is more attentiontime for math. They learn different skills. The skill of Conflict resolution, maths, sports, arts.etc.
    2
  43102. Is the background real? Green screen trick?
    2
  43103. I think every math professor assumes everyone is a math major. Because there is literally no other reason people would have time to do all that homework otherwise.
    2
  43104. This is soo good! Thank you for doning this video!
    2
  43105. It baffles me that out of 18k views only < 300 liked and there are < 30 comments . I'll attribute this to multiple views of same viewers... I guess. I just think a like is nice... guys n gals c'mon
    2
  43106. Yes, I was personally a perfectionist and had a 'do it all' attitude. Then I realized persistence is required but you might not be perfect in everything. Maybe going slow initially can help. This mindset helped me teach my class of Discrete Math this last semester.
    2
  43107. Are you a full time teacher?
    2
  43108.  @TheMathSorcerer  how you manage to make college classes seem so personal is a unique skill LOL
    2
  43109. Grazie mille per questo video, short e anche facile da capire
    2
  43110. "its very easy" Cue the whole class looking confused
    2
  43111. Friendly advice: I suggest you to contact AoPS to trade books vs a series of review videos of their books. I don't see how it can't help both sides, thank you and happy new year Sir !
    2
  43112. Underrated...sir..You are so good. thank you, it's my first time doing calculus.
    2
  43113. I started doing maths at starting of high school
    2
  43114. No se Ingles lmao
    2
  43115. Grab a beer with you? Well I don't drink alcohol but I'd love to go out on a drink with you. I'll pay :)
    2
  43116. what book is that came from ?
    2
  43117. "The Pillow is the Best Advisor" - My steps are: I study the material, work on the problems, bang my head against the wall and then go to sleep. I work again on the problems after I've had a solid breakfast and coffee. Sure enough the solution becomes clearer.
    2
  43118. I expected this to be motivating, ended up just being awkward because I'm a 20-year-old who only knows some pre-algebra😂. That'll change soon though so I'll come back to this video then :)
    2
  43119. this man bought (conjured? math'd?) a braco branded ring light
    2
  43120. haha! They just changed our winter term to online two days ago
    2
  43121. 7 days without math makes one weak. 14 days without math makes me too weak. Thanks for the great video!:goodvibes:
    2
  43122. Great advice. An application of this mindset is "don't skip steps". Don't do anything in your head. Write each step down and you will ultimately save more time by avoiding mistakes
    2
  43123. Could you please make videos of exercises regarding Riemann's Integral...
    2
  43124. Where did you buy the books? At Barnes and noble?
    2
  43125.  @TheMathSorcerer  Thank you for this video.
    2
  43126. You are the best keep it up
    2
  43127. Great
    2
  43128. 3:50 I want math to be as easy as pi! Oh wait... Isn't that an infinitely complex number? xDDDD
    2
  43129. Can we get an overview of your whole collection?
    2
  43130. Please make more vids. We love you bro
    2
  43131. What's your occupation
    2
  43132. He's a Math Sorcerer
    2
  43133. You look and sound tired. Is everything all right?
    2
  43134.  @TheMathSorcerer  haha take care man ❤️
    2
  43135. Ok
    2
  43136. you mildly resemble Jeff Bezos
    2
  43137. Love the video and recommendations, but can anybody recommend some links where to find these books at affordable prices? The books at the Amazon links here are quite pricey, and I mean some are over $200 for used copies, and many near or over $100. A for instance...Ordinary Differential Equations With Applications, by Larry C. Andrews (2 Used from $869.97). My initial excitement has been overwhelmed with sticker shock. Thanks!
    2
  43138.  @TheMathSorcerer  Thanks!
    2
  43139.  @TheMathSorcerer  Yea but I meant more like working... engineering,rocket science,finance etc :)
    2
  43140. Thank you soo muchh for clearing this silly doubt🤗
    2
  43141. You motivate me to get out of screen and get back to my calculus books Thank you
    2
  43142. Let me say: Amen!
    2
  43143. He looks like Isaac Newton
    2
  43144. Where are the links for the books?
    2
  43145. I like math. I like it hahaha
    2
  43146. dude thank you so much! this was in-depth and easy to understand!!!
    2
  43147. Wtf did i just watch
    2
  43148. It looks very comprehensible. I wish I found its existence sooner.
    2
  43149. I wonder if the level of difficulty for calculus up to diff EQ (college exams) is roughly the same today as 1980 in the U.S.?
    2
  43150. First word of the video answers the question. #ggg
    2
  43151. I take your point but remember that most people get jobs in areas outside of their degree. Meaning, for most people, the degree isn't even relevant to what they end up doing.
    2
  43152. Sir, in whole youtube only in your videos I find peace ✌️ your vocals are amezing
    2
  43153. Thx for the recomendations.
    2
  43154. Thank you very much for that Video I really want to learn math it is so interesting I think I should have picked math as my career
    2
  43155. This isn’t only for math. It applies to all academic work—and probably other projects as well.
    2
  43156. i have the same problem I really promote the promote the methods that are provided by people in the comment section to achieve acadmic success but if we want to become a scientific or we want to come up with our own solutions which really mean something like research or creating a new branch of mathematics or physics because i am genuinely interested in maths but most of the times I don't find meaning in it which really frustrate me i think we don't have a correct way of understanding maths like what it means of doing this or that how it effect we really need a good model or a different perspectives of understanding maths which can give it more meaning
    2
  43157. thank you so much. I was stuck with the first exercise. Now I begin to understand how to do it.
    2
  43158. wish I could pick up some of these books I'm amazed by all of them
    2
  43159. quadruple integral im dead
    2
  43160. very helpful video thanks a lot
    2
  43161. the first reason is the only reason why i study subjects on my own
    2
  43162. Thank you sir 👍
    2
  43163. Do you mean only integrating 0 or integrating anything?
    2
  43164. Can you help me plz 🙏
    2
  43165. In the last integral, actually it can be done easier as follows and you can even find the explicit form: ∫ du/(cos u + 1) = ∫ dx Let t=tan(u/2), then the integral on the left is reduced to just ∫ dt. Then t = x + C tan(u/2) = x+C tan((x+y)/2) = x + C Now, apply the initial condition y(0)=pi/3, C = tan(pi/6) = 1/root3 Then, tan((x+y)/2) = x + 1/root3 or y = 2 arctan(x + 1/root3) - x This is much faster and easier :)
    2
  43166. I like your channel content especially books review. I have seen a book called "a course of higher mahtematics by vladimir smirnov" do you have a copy of it? and would you do a review of it?
    2
  43167. I love all your videos
    2
  43168. 4:44 "How am I supposed to study and take classes??" Lol I ask the same question myself everyday 🤣
    2
  43169. Factorization method 🥺🥺🥺🥺😭😭😭😭😭 please
    2
  43170. omg have you heard of Lehmann lmao hi from mexico
    2
  43171. can you prove (modulus(axb))^2=((modulus(a)^2)*(modulus(b))^2)-(a.b)^2 where a and b are vectors? add a link to the donations page if you have one please
    2
  43172. Agreed! I think this a skill you need to get through grad school 😅
    2
  43173. i don't even study math anymore, why'd i watch this, pretty cool tho
    2
  43174. Hello sir, do you believe that if we take our master degree on applied math then can we continue our phd degree doing pure math? Now I am study applied math but i want to exchange it.By the way you are always inspire me thank you for all videos and motivations!
    2
  43175. For smooth manifolds, I like the one by Bishop and Crittenden and the one by Poor.
    2
  43176. Just bought it.
    2
  43177. Mr. Bezos, you're ain't foolin' anyone! Thank you for sharing wisdom 🙏❤
    2
  43178. "Hmm.. I wonder what he recommends for calculus... ARAGH STEWART??" A few things: - Stewart died in 2014, but they're coming out with these editions faster than ever - There are several versions of these books that are chopped and screwed with different content so make sure you buy the one you mean - ...because they're stupid expensive. Calculus hasn't changed in a loooong time so get an old edition for next to nothing unless it's required for class. And the latest version comes with WEBASSIGN? Like cram all the worst parts of college into one $200 ball of crap, sure whynot.
    2
  43179. ADVANCE CALCULuS for Beginners
    2
  43180. Thank you!!!!!
    2
  43181.  @TheMathSorcerer  Thank you for replying. Nice to see that you reply to almost every single commenter.
    2
  43182.  @TheMathSorcerer  Thanks man, really appreciate it. You have lots of time now because of Covid. Were you always like this, or is it only recently that you started responding to many comments? Either way I quite like the fact that you do it now.
    2
  43183.  @TheMathSorcerer  That is good actually, because it shows that your channel is growing, and that is a good thing.
    2
  43184. Damn it, tell me who asked you this question, I will hang him!! Engineers just study general physics (calculus based), they don't study any higher physics, that means engineers don't know about physics anymore than the pig knows about sundays 😖😖😖
    2
  43185. @ The Math Sorcerer ,Have you read all of these books or are some of them solely for collection purposes?
    2
  43186. "Its Saturday I'm gonna learn some math and then go out..." BIG EXPECTATION.
    2
  43187. Superb review. Book seems easy to read. Mathematics in America made less progress till 1930s. But Americans were comfortable with Topology or analysis situs...strangely. Since they have been ahead in Topology ..always.
    2
  43188. #PizzaGate
    2
  43189. Ah! The Riemann-Lebesgue lemma - finally a star exercise in Spivaks book I actually know how to solve!!
    2
  43190. Hello - thanks. A dumb question for someone who knows more about this than I do: at 5:30 you start a proof by contradiction of [s] intersection [t] = empty set. I understand contradiction starts with supposing the negation of a statement - but i thought intersection was equivalent to 'and' and so when applying DeMorgan to the statement, you'd get "[s] or [t] does not = empty set." (Alternatively, replace 'or' with union). I'm guessing I'm wrong after having watched this - but could someone please explain why? Thanks
    2
  43191. I love the location you used for this video. Backyard, local park? It really sets the tone. Thanks.
    2
  43192. Have those libraries buy your books then when you get there, buy your books back from the library.
    2
  43193. I agree.
    2
  43194. U r Awesome,,,u know that , right?
    2
  43195. I guess I should start doing maths after 3 weeks without doing the homework. The exam is tomorrow
    2
  43196. I had a classmate who always wanted harder tests to brag to his friends from other schools
    2
  43197. I am pursuing my post graduate Math Degree, In my undergraduate degree, I just learnt to solve some differential problems, we didn't have a syllabus to dig deeper into methods and concepts... But now all of a sudden I have to understand everything without examples and brief explanations. .We are following An Introduction to Ordinary Differential Equation By Earl.A.Coddington. But I don't have the ability to understand most of it... My Differential Equation Teacher is so worst that she just reads over the book.. How can I self teach this book..? Where to start??.
    2
  43198.  @TheMathSorcerer  Thanks for the reply
    2
  43199. Great 👌 work. Thanks
    2
  43200. رووووووعة🌸🌸🌸
    2
  43201. This is really Incredible channel 💯
    2
  43202. Thank you sir!
    2
  43203. The points made might seem very simple but this is very mature advice indeed. I can tell this comes from lot of experience with studying math.
    2
  43204. Whats the best site to get vintage math books off of?
    2
  43205. New subscriber. Looks like a great channel. I’m fascinated by math but had the typical absent-minded, confusing professor in college. Wish I had stuck with it more, particularly now that I’m getting into machine learning.
    2
  43206. Bro some of us lift and evaluate lol :)
    2
  43207. Hey prof, would You do a diferentisl ecuations course? I feel that vranch soooo hard and cofusing :/ PD. I found the videos, tnx Pdd. Do You play lol?
    2
  43208.  @TheMathSorcerer  tnx :3 i Will check them out!
    2
  43209. lol is it just me or does the karen sound like gingy from shrek
    2
  43210. You are amazing man! Thanks
    2
  43211. Topology—Gaussian surfaces and whatnot. Either that or complex control math—it would be quaternions.
    2
  43212. The big problem what I experienced with self study of math is to not remember math concepts or formulas longer and self doubt ?
    2
  43213. thank you very much
    2
  43214.  @TheMathSorcerer  There was a Baldor in Lord of the Rings.
    2
  43215. Thank you sir
    2
  43216. I just came to say that I am procrastinating to watch this video 🥴
    2
  43217. can you say something on how to pick a thesis?
    2
  43218.  @TheMathSorcerer  sounds even better by the minute.
    2
  43219. This book looks amazing. I'll order it for my vacation.
    2
  43220. You really are an inspiration, thank you so much!
    2
  43221. oh man where did i land. People are taking math like a addoction. I'm taking math like a hard formula it have to sloved. Oh no what did i wrote. "hard formula it have to sloved" i should've/used to sad torture. What happend with me. ahhhhhhhhhhhh
    2
  43222. 0:21 Wait wait wait. If you flip the bounds thrice that equals the negative of the original.
    2
  43223. Good 40 or so books on mathematics to master it upto bachelor's level.
    2
  43224. At 2:40 which is that mathematician that Sir is talking about any guy Paul Hamen I searched on google and it's not coming.
    2
  43225. My biggest takeaway: The Math Sorcerer played League of Legends
    2
  43226. It takes a lot of energy once you do math or physics. So you eat a lot!
    2
  43227. THANK YOU for this hint and recommendation!!
    2
  43228. It helped me for my jee preparation
    2
  43229. Love your videos so much! Please keep making great ones!
    2
  43230. So, Cool teacher. I hope we have that kind of prof. Very funny but i'm getting the lesson
    2
  43231. What is the name of the song? It's so beautiful!
    2
  43232.  @TheMathSorcerer  No worries :)
    2
  43233. Jeff Bezos has absolutly solid arguments.
    2
  43234. First time I come across this channel. First thought: “Well, he’s certainly mastered the Einstein look!” Second thought: This all makes a lot of sense.
    2
  43235. Can't believe I came up with exactly the same solution as yours.
    2
  43236. What ever it is practice can make it perfect.
    2
  43237. I was hoping you would do a video on physics👍
    2
  43238. Thank you professor. Can you please keep the screen white
    2
  43239. I love this guy
    2
  43240. Thank you for sharing! Very helpful
    2
  43241. 😳Today date:01-26-2027pm😳.😳AMEEN AFFIRM AMEEN 😳.
    2
  43242.  @TheMathSorcerer  Thank you! It's hard to get that book used in good price! xD
    2
  43243.  @TheMathSorcerer  I'll try get Buck's one, I watched your video about it! =)
    2
  43244. I enjoy your videos, and I am subscribed to your channel. What advice would you have for those of us who may be "older"? I have always wanted to learn math; however, it just don't know where to begin. Any suggestions? Thank you.
    2
  43245.  @TheMathSorcerer  Great! Thank you. I am sure I probably would have to go back to college algebra. I thought about following your "algebra in 30 minutes per day" plan. I love your conversation about math books. Prior to finding your channel, I would browse the shelves of my local used bookstore, not knowing which ones to choose!
    2
  43246. Nice
    2
  43247. My tip - Try to write a guide explaining the topic as you study it. The forces you to explain all the thing happening in the topic and if you can't, you've found a gap and you can go and read up on it until you've learned how to explain it. It do this. Once it ended up as a published textbook.
    2
  43248. I want to ask you , is the algebra your most subject you love ?
    2
  43249. Topology is a staggeringly beautiful subject.
    2
  43250. Awesome!!!
    2
  43251. Yooooooooww as a Mathematics Major, this video brought me lots of laughs. I died at the quadruple Integral being the end of the world!
    2
  43252. 👍🇦🇷🌎
    2
  43253. Hello mr sorcerer! Love your book reviews! 📖 👌👌
    2
  43254. Thanks for this. It's really encouraging.
    2
  43255. Sir, if i read books on a topic that you provide in the description say Proof Writing and i don't know about anything relating to Proof Writing. After reading all 9 books related Proof Writing, am i able to develop some moderate level of understanding about Proof Writing. OR i have to know some basics to be able to understand the information provided in those 9 books. btw i really love your channel. i found this channel some time ago when i an trying to learn about IMO.
    2
  43256. Kimberly is so annoying.
    2
  43257. How about learn mathematics for everything? Not just for solving few engineering problems.
    2
  43258. Thank you!
    2
  43259. Warning : Greek Math student!!! λ = "Lom-the" (rhymes with "bomb the") You pronounced φ correctly once in a video, you said "fee!!" 2 FAST EZ TRICKS TO PRONOUNCE 1/2 GREEK LETTERS CORRECT: β,ζ,η,θ = veetah, zeetah, eetah, theetah (respectively) 1) these all rhyme with "cheetah" or Lois saying "oh Peetah" μ,ν,ξ,π,φ,χ = me,knee,ksee,p,fee,he (respectively) 2) these all rhyme with "fee" (yes, even 3.141592... = π = English p, not pie.) I love your videos btw, subscribed, like all your stuff and sit through your lectures so my CalcIII skills are flawless by the time I start Diffy-Q or Linear Algebra. You Rock!!!!
    2
  43260. I have only watch your videos😄
    2
  43261. Imagine the smell
    2
  43262. Thanks man, impressed by how much effort you have put into this channel, Doing so you've proved how much love you carry for the subject (Phase of learning doesn't end just by seeing the beauty,its by making others see it too) Gonna binge watch your lectures now❤️
    2
  43263. Do you know any book on math calligraphy? and what about mathematical language per se? I like math, when studied on my terms, but hate to write gnarly equations: I was never properly taught to format a mathematical document quite properly.
    2
  43264.  @TheMathSorcerer  Thank you for the advice, this channel is a jewel. It feels more like the type of study I like to delve in, from the depth of principia and logic to the practicalities/ applied mathematics, given that I see it as a language. One thing that I can observe, and something I think Lockhart's lament tried to convey, it's that mathematics should be studied as a language above anything else and to be constantly editing yourself (as we are often taught or forced to) in fear of a bad grade or a stylistic prescription only constitutes a tampering of the type of creativity process (poietics in Greek terms) that is proper of math, that sort of empiricism implied by so many philosophers like Hegel or Kant, even Vitruvius. Your attempt at education goes much more in between the lines of the natural methods for leaning languages, if such a thing exit for maths: I'd like to compare it to the situation regarding Latin in Italian schools, it's taught in such decontextualized and deformed way that it's expected that most students fail to grasp any sort of interest, let alone keep it long enough as to be able to learn it, while there are methods that aim for constant empiricist practice that delve into the functionality of the language by internalizing it's functionality in context with real vocabulary and usage.
    2
  43265. What is the prerequisite of this playlist ?
    2
  43266.  @TheMathSorcerer  i am doing first course in real analysis and want to have detailed understanding so i want to take this, i have taken calculus 1 ,2 and basic linear algebra and first course in differential equations, but i have not taken any course like abstract algebra, group theory, ring theory etc. Can i still take this ?
    2
  43267. This make me Cooll
    2
  43268. only 3 steps. every element is its own inverse = socks-shoes property = again every elements has its own inverse. hence abelian
    2
  43269. Math is a gift that many of us reject but it is beautiful for us
    2
  43270. Where do you get most of your used textbooks? Ebay?
    2
  43271. 1st
    2
  43272. Tq..bro
    2
  43273. This is how I ultimately passed all my calculus classes. 😅
    2
  43274. Really a great advice. Its really hard not to overdo. Thanks
    2
  43275. Thank you! For making great videos.
    2
  43276. Thanks man
    2
  43277. I've got a 100 on all my assignments going into my calc 1 midterm, but I'm concerned because the professor said that 35% of our final grade would be based on how well we washed his car.
    2
  43278. If 6 week courses are the fastest by your standards then I might actually be a genius in math. I distinctly remember also having only 4 weeks for linear algebra and wasted 2 of those, but then I went 100% with sleepless nights and aced it. I don't think that is healthy 😅. It is possible through if you ask me
    2
  43279. Thanks man for making this video you‘re a hero
    2
  43280. Many thanks for the video! Very interesting. Could I ask you which path of mathematical topics would you suggest as solid prerequisite to (basic) theory of manifolds?
    2
  43281. thank you sir! life saver
    2
  43282. Why look like yellow Jeff Bezos
    2
  43283. Good
    2
  43284. Thank you! This helped sm!
    2
  43285. More videos like this man I love the blogs, but I want the math
    2
  43286. I got 100% in all my year 10 math tests lol
    2
  43287. I have a question... which software do you use to make these videos? xd
    2
  43288.  @TheMathSorcerer  I see, well, if it works do not fix it ;9 Thanks for your reply.
    2
  43289. I disliked math (and most of my other classes) during k-12. Between High School and College I dabbled with electronics repair, programming, and classical cryptography. Learning the math necessary for these hobbies was enjoyable, though it was primarily for the applied applications of the math as opposed to the math in and of itself. After exposure to a good number of College level math classes I've warmed up quite a bit to the idea of math for the sake of math. I actually see a large overlap between what I like about math and what I like about CS. Both fields of study get those Eureka! moments (assuming it isn't a syntax error), the inherent beauty within certain mathematical functions/structures is similar to the beauty within certain data structures, and there is a lot in common between solving a math problem and figuring out how to go about writing an algorithm. I just find it unfortunate that many people never quite get to the more enjoyable parts of math due to how it is taught during k-12.
    2
  43290. Nice explanation and problem working! Can I know when your udemy courses would be on discount? Last time I only subscribed to one calculus course and was in discount.. Thank you
    2
  43291. Maybe I'll do some translations in Spanish. By the way, I've just found a guy who runs a music channel and has like the "same" background bookshelf as you https://www.youtube.com/watch?v=JAjoJfLLuLQ wow
    2
  43292. Simple cliche that is true: Math is hard, but there’s value in that.
    2
  43293. Nice 🙃
    2
  43294. YAY THANK YOU !!
    2
  43295. you made a mistake and not one of 10k realised? -3x squared times 3x = 9x to the power of 3 not 9x squared.
    2
  43296. Thank You
    2
  43297. Thank you this is really good
    2
  43298. Work on speed … but no specifics on how to accomplish this?
    2
  43299. This is an inspiring video. You've convinced me to give math a try (but as a long term hobby, just a little bit a time). Thanks!
    2
  43300. Thank you for the motivational words good sir! Really needed some to get over Functional Analysis and complex analysis (Analysis in general lol)
    2
  43301. Oh man <3 my basics are very week so i was'nt able to understand it at first after watching it 3 -4 time now i got it xd (after memorising the 3 rules you told :) <3) much love from PAKISTAN <3
    2
  43302. Yeah your Subconscious mind over the rest period incubated the material and made previously unknown linkages and formed new understandings which resulted in new connections being realized
    2
  43303. Great example!
    2
  43304. Oh so the method was to actually study and some solid advice on how to study. On top of that he made me enthusiastic about studying. What a hack, didn't even try to sell me anything..
    2
  43305. This is the... BEST MATH ADVICE EVER.
    2
  43306. See the parrot on his shoulder.
    2
  43307. I liked real analysis. We used Principles of Mathematical Analysis by Walter Rudin. Books like that are worth retaining in one's library. Rudin's Real and Complex Anaysis is great for complex analysis. However, Churchill, Remmert, and Ahlfors have excellent texts also. Churchill's Complex Variables and Applications is great for practicing working out integrals and sometimes understanding a detail in a proof that is difficult to understand in Rudin's Real and Complex Analysis. I divert to complex analysis because I love it too. In real analysis I often look at other books but I usually go back to Rudin's Principles of Mathematical Analysis as the best source. Whereas in complex analysis I often find each book has its own particular strengths.
    2
  43308. Hey! Your videos are awesome! I got a 100 on my chpr 3 calculus quiz. However, I was wondering if you could give a lesson on anti derivatives and indefinite integration! Its 4.1 in calculus. Thanks!
    2
  43309. I'm taking summer alculus online, so I dont have access to an actual teacher that will guide me through it
    2
  43310. The member sticker tho...
    2
  43311. please can you share the solution
    2
  43312. A young James May?
    2
  43313. First viewer dear sir!!
    2
  43314. from where you buy used books
    2
  43315. Math Anon: taking it day by day.
    2
  43316. In the US there is a lot more to it. Given the state of this country today I am not even going to get into it as more serious issues need to be addressed.
    2
  43317. that math parrot!
    2
  43318. Genius orator.
    2
  43319. you diserver 1 million likes
    2
  43320. I want Math books to consume my life.
    2
  43321. I suspect Paul A. Foerster used this book when I had him for a Calculus AP class in 1969-70.
    2
  43322. Do you want to learn math? Start with Euclidean geometry...and stay with it for a long, long time...
    2
  43323. Thanks!
    2
  43324. Ty, lifesaver 🫡
    2
  43325. This would be so helpful
    2
  43326. Well, I have rarely studied that intensely. This probably explains why I am flunking my first course. Thanks for the reminder
    2
  43327. Hmm interesting approach
    2
  43328. I'm a tutor and Math is something I tutor a lot. For Geometry proofs I notice students want to jump in immediately and start writing. I always say : stop and think. What are you trying to prove? State it in your own words. Do you believe the statement you're trying to prove? Why? Can you explain in a non formal way why a kid should believe the statement? Students can get pretty good at processing these questions fast. It makes the formal proof so much easier. You said it, MS: reflection is everything!
    2
  43329. chuckles in 2t
    2
  43330. Thank you sir👍
    2
  43331. No J. J. Rotman? He wrote great books: A First Course in Abstract Algebra, An Introduction to the Theory of Groups, Galois Theory, Advanced Modern Algebra and others. Since I'm here, what do you think about the following books? Ian Stewart - Galois Theory; Stewart and Tall - Algebraic Number Theory and Fermat's Last Theorem; DJH Garling - Galois Theory?
    2
  43332. YAYYYYY!!!
    2
  43333. People don't understand that math is very easy but it is accumulative. If you allow gaps to form, the easiness of math is gone.
    2
  43334.  @TheMathSorcerer  thanks for your response! and what about other math subjects? I do have "Introduction to Mathematical Cryptography" by Hoffstein, Pipher, Silverman, which is excellent for my uses and it's very much up to date but some of the readings on Elliptic Curves, Abstract Algebra and correlations to linear algebra (GL, SL, SU groups etc.)?
    2
  43335. THANK YOU SO MUCH
    2
  43336. Can someone please post the link to the set theory and other playlists he talked about? There are 10s of playlists with just one or two videos and I couldn't find it myself. Thank you
    2
  43337. "Conceptual move" Hahahaha
    2
  43338. Have anyone said you look exactly like Jeff Bezos?
    2
  43339. our favourite sorcerer❤❤
    2
  43340. Hi. I found this book in hardcover and it was printed in 1971, certainly the first version of this book. I borrowed it from HKU university library and I’m certainly sure that this book was frequently used in 80s and 90s by students here. I don’t know whether there are differences between this paperback version and the old hardcover version since I didn’t buy the new one.
    2
  43341. My new favourite channel 🧙‍♂️
    2
  43342. You love this book, and i love your channel. :)
    2
  43343. Thank you for the encouragement.
    2
  43344. Why am i here!? I hate maths. But i cant stop watching...
    2
  43345. The physics one got me good.
    2
  43346. I use Linear Algebra: A Modern Introduction by David Poole for self-study. I would put it in between Strang and Friedberg, et al.
    2
  43347. This book is so cute 🥰 Thank you for the overview!
    2
  43348. Math sorcerer, what do you think of teachers who say studying math is useless and we should teach useful things like how to do your taxes instead?
    2
  43349. Proof... The math is the best sleeping pill
    2
  43350. It would be better if you call this channel... math Cutler 🤓
    2
  43351. I am addicted to your content
    2
  43352. I imagine people with tinnitus might like a bit of music in the background perhaps to maskt he distracting ring, but that is a special case. My friend has bad tinnitus.
    2
  43353. Physics is not like college math. Indeed studying multivariable calculus absolutely requires a good knowledge of single variable calculus. ODE also requires it. So, you have to study a calculus book sequentially--there's no other way around it. You can't really skip chapters there. Physics books are different. You can go through physics book in a more random fashion. It's a bunch of various areas: mechanics, thermodynamics, electrodynamics, optics, nuclear physics, and sometimes astronomy is covered to some degree. Of course, you have to know the basics of physics and a lot of calculus before studying it. However, some physics books rely on elementary math and calculus is not required. All this nomenclature (Calculus I, II, III, IIII and the same for physics) is just various parts of one textbook. The difference is huge though, as I said: Calculus must be studied sequentially. You can't start from Calculus II or III. Later on, math subjects might be chosen and they are not so sequential in requirements: complex variables, probability theory, number theory, analysis. You can start those in any sequence just like physics. BTW before taking up a huge serious book on physics, it's good to know elementary physics first but that's not necessary but I always advise doing the elementary text first. It's just too much material and it might go one ear out the other as there's far less connection between chapters in physics. You may already forget all about thermodynamics when you start a chapter on nuclear physics. Going through the elementary physics first means you are going through everything twice: first time without integrals, the second time with derivatives and integrals. This helps remembering things better, not rushing through and forgetting everything 🙂
    2
  43354. Do same for proofs and analysis!
    2
  43355. Love ❤️ from India 🇮🇳 ❤️ ♥️ 😍
    2
  43356. Most other countries channel their students in 9th or maybe even 7th grade. If all you study in last 5 years of 2ndary school is Ancient Greek & Latin then you'll be ahead of most US freshmen starting out in The Classics. If all you studied grade 8-12 was STEM, you'd start college knowing far more Math most US students of Math/Sci/Engineering.
    2
  43357. Seems like every math book is your favorite book. Haha .. do you have any math books you absolutely hate?
    2
  43358. Thanks MathSorcerer and I think I am jumping into this book by Wackerly's now, having looked/tried some other matierals simultaneously as well. I just hope that with the solutions manual it will be a good self learning possibility - I used to hit a curve when it came to estimators and all. Will you be giving further advice on this book & math stats in general? especially when it comes to deriving research ideas..
    2
  43359. Thank you so much ☺️
    2
  43360. You're a lifesaver 🙏
    2
  43361. Congrats on the sponsorship! Hopefully we can get Brilliant, TGC+, Curiosity Steam, and Magellan on board. :-) Do you have any resources on visualizing/conceptualizing math? (3blue1brown is a great ref) but I'm looking for more. Terance Tao even said he can't do algebra and has to convert the equations into geometry to understand. (ofc that's at in incredibly high level).
    2
  43362. U ARE A GODDDDDDDDD
    2
  43363. I have absolutely no idea what's going on, I'm still in pre-calc.
    2
  43364. Felt like u r sitting beside and explaining
    2
  43365. In my country, people who study math and physics frequently sleep at the library and just do it all day. Unless you're that kind of person, the answer is a big NO.
    2
  43366.  @TheMathSorcerer  There's a qualitative difference. Living and breathing it is different than doing it.
    2
  43367. ​ @TheMathSorcerer  It's a specialty of math-physics faculty of Charles university in Prague, Czech republic. Even though it's still only a few people, it makes me glad Czechs care about science. I'm studying EECS at CTU Prague. It's also hard, but not that much...
    2
  43368.  @TheMathSorcerer  But I have a feeling I'mma head out soon :D
    2
  43369. This man is a mixture of Jeff Bezos and Scott Forstall.
    2
  43370. I loved your review and honest opinion as always! Thank you Sir
    2
  43371. Hey, It was great. But I have a question about another topic. Can you make a dedicated vedio in number theory?
    2
  43372. شكرا
    2
  43373. Agree, and EE is the hardest of the engineering majors.
    2
  43374. He must have taken something that gives him beans of energy. I hope they are all arranged in the playlists.
    2
  43375. thank you very much, you helped me understand a thing because of which I was getting a lot of doubt.
    2
  43376. Me too really yarr😂😂😂
    2
  43377. Thanks for this video!
    2
  43378. How did Freeman Dyson teach at the University without a PhD?
    2
  43379. First
    2
  43380. Thank you, this helped me a lot.
    2
  43381. Hi recently subscribed and enjoy your channel, also love Lang and do a lot of maths self study. One issue I thought worth a discussion is the gaps i.e. all maths texts have these gaps that you are meant to fill in in your head. I admit I spend a lot of time filling in the gaps. My feeling is if I can't fill in the gap I don't understand the proof and can't continue as no doubt that theorem will be required in later proofs and so the number of theorems I don't really understand cascades and grows. Often these gaps are huge, sometimes ten lines of algebra!! Why do the authors of maths texts omit the steps in these "gaps"? Is it merely to reduce the amount of text..... sometimes I wonder if they themselves don't grasp the proof?? Another gripe is diagrams not being on the same page e.g. Euclid!! flipping the page back and forth makes everything doubly hard. Have you heard of "Introduction to Analysis of the Infinite": by Leonard Euler .... one of my fav's (bit pricy on Amazon) but so good!! what a mind and written for a layman.... has the derivation of the famous formula which I have never seen anywhere else (which he just glosses over as though its unimportant), .... also really settles once and for all what is e??
    2
  43382. Thank you very much Math Sorcerer for the support! I will acquire those texts and keep studying and not giving up. If it is challenging me, it’s worth doing as it will make me stronger
    2
  43383. You are a very good teacher , why can't you be my differantial equations lecturer.
    2
  43384. How much money does we get when we are a PhD in applied mathematics Please reply i really want to know because Ive got lot of answers and i think some of them r fake so please tell me
    2
  43385. Nice😍😍😍😍😍
    2
  43386. I grateful that you reminded me and an grateful that that you made this video.
    2
  43387. this is me in the 2nd grade when I thought I was smart for properly dividing oranges in a question. 😢
    2
  43388. 😍
    2
  43389. Thanks man
    2
  43390. Discrete math is a pain
    2
  43391. 100% thought you'll say real analysis. 😂
    2
  43392. That thick maths book, oh my goodness. I bet you have many people wanting to borrow your books and not return them. That must be annoying. I once borrowed a book from an animation professor who was reluctant at first. He happily agreed when I showed him my collections. We switched books and returned them next day, all in original conditions. Fair trade.
    2
  43393. Love that he mentions all basic formulas in everyone of his videos...best
    2
  43394. YouTube knew I needed this 🤣🤣
    2
  43395. New Subscriber
    2
  43396. @election
    2
  43397. This is not mess.. This is "organised chaos"!!!
    2
  43398. You're a life saver,I like how you present things 👌,your excitement gives me motivation
    2
  43399. For me it was tensor analysis, took it in 4th year mechanical engineering
    2
  43400. Why we feel to Give up????? Actually I'm a Final year under Graduate mathematics student and I often feel the same....😓
    2
  43401.  @TheMathSorcerer  👍
    2
  43402. Omg for a sec I thought this is true 😂
    2
  43403. hey man, I love your channel, BTW what graduate school did you go to?
    2
  43404. Revolutionary ! And loads of passion...
    2
  43405.  @TheMathSorcerer  Thank can you do a video where you derive it though and not just prove it?
    2
  43406. What's in the boxes on the top shelf? Lol How do you deal with a teacher that won't answer the questions that they give you?
    2
  43407. Thank you professor for your kind words and your spectacular videos as I enter the new semester taking Calc III. You've helped me along the way and have kept my morals and integrity in check to continue.
    2
  43408. "Nobody cares more about your success than you." Especially if you're an adult male. One thing I do is kind of weird. When I'm studying math, programming, or any other technical subject, I will study other things in parallel. I'm always back and forth between several different areas of study. And I'm always hitting those things that force me to pause and think. If my mind is boggled, I move on to another topic until I find something that boggles my mind there. Then I return to the original topic. Cooking for example. Anyone that has ever cooked will tell you that you can hit that snag just like hitting a bug while programming computers. You need to step away from it and think it through. Now, admittedly cooking doesn't run as deep as technical topics but you can still be stopped cold in your tracks. Suppose you're trying to make a recipe that calls for Fenugreek Leaves (Methi Leaves) and you don't know where to buy them. You do need to do some research on where to buy or you need to start considering substitute ingredients. Or you might learn that peeling a pizza is a lot tougher than it looks. So, I'm always hitting those road blocks in different subjects. But even for less technical subjects, they can still be challenging.
    2
  43409. Stephen Hawking would disagree 😂 Einstein would also disagree May be we need a couch potato math !!!
    2
  43410. I shall add my proverbial 2¢ by suggesting the following. There are three types of Calculus classes dependinhg upon where one is taking the class and who is teaching. First, there is the working mathematician at a top tier university. Their exams tend being more abstract and test conceptional understanding and definitions rather computational abilities. For the example, the homework will always be routine exercises assigned and found in every calculus class but the problems on the exam will not ask taking derivate or evaluate an integral of simple functions, and not necessarily be a proof problem, e.g. what is the derivative a some given discontinuous function? Second, there is the third tier college instructor or community college teacher whose exams echo assigned homework exercises. The challenge here is straight up testing of computational ability and SPEED. Then the third type is your physicists or engineer trained instructor who knows what calculus one needs knowing for practical utility. Their exams will be problems that are more complex versions of the assigned homework problems. Pay attention to the point value of homework vs exams. Say a class has final exam worth 60% of grade, two midterms worth 15% each, leaving homework, spot quizzes, and class participation worth total of 10%, then clearly homework is not as important as how you perform on exams. Unless homework for the class is worth at least 30% or more of the total grade NEVER stress over doing homework. Do homework but don't stress like high school. You can at the very least, submit a problem set with set-up of each problem even if without solutions. Spend the time directly proportional to the points value. For every 100 minutes studying math, spend only % doing homework equal to % homework is worth. If the class is more computational based then practice, practice, practice as if preparing for the AP calculus exam. Memorization of formulae and SPEED is what is being tested.
    2
  43411. Wonderful
    2
  43412. Background relax music is amazing with amazing information
    2
  43413. By the thumbnail, all I can think of is "can you take me higher?" lol RJ
    2
  43414. These latter problems are typical ME strength of materials questions (mechanical engineering) whose formulas you would know if you were a student.
    2
  43415. Am enjoying my Kindle
    2
  43416. Why don't you make a playlist where you go into more depth in each course?
    2
  43417. What do you recommend as a good and natural progression through the different subfields of mathematics? I’m asking in the context of self-study; obviously there are prerequisites like calculus and linear algebra that you need if you want to study higher levels of math. So starting with basic arithmetic, what sort of “map” of math would you outline to follow? (And I don’t expect it to be completely linear, as I’m sure there are junctions of subjects that will branch off from others that allow the student to make choices)
    2
  43418.  @TheMathSorcerer  Sounds good to me. Thank you for your input!
    2
  43419. Wtf i didnt know jeff bezos liked math so much. Also, what a hair he grew!
    2
  43420. Lucky to get tips from Newton's Son in law.
    2
  43421.  @TheMathSorcerer  south Africa Master is 2 years and PhD is also 2 years
    2
  43422. Welp, I left a comment earlier mentioning some additional books that are in this same vein, that I thought people might find useful. But now it's gone? Not sure if that's down to a technical SNAFU, or if it was deleted intentionally for some reason, or maybe accidentally caught in a spam filter, or what. But honestly I'm too lazy to type all that out again. Sorry guys. 😞
    2
  43423.  @TheMathSorcerer  - no worries. I guess I'll type it up again. I included a couple of Amazon links, so maybe that got it removed. I'll re-post without the links and see what happens.
    2
  43424. Blink
    2
  43425. Thank you so much 💓
    2
  43426. Math Sorcerer" "Hey, why don't I make a math video now; too bad all my shirts are dirty and in the hamper, oh well."
    2
  43427. Merry Xmas
    2
  43428. Please do a review on the book Crushing The GRE Mathematics Subject Test Fourth Edition.
    2
  43429. The yellow eyes make you look like a character from elden ring or somethin....
    2
  43430. Hey i can’t wait to buy some of your books and i love the idea about selling sets i was thinking of it in the beginning of the video i would personally appreciate one for early proof writing and real analysis. I’m glad to see you taking time for your self and have safe travels !
    2
  43431. Thank you so much!! This helped me a lot! Keep the good work
    2
  43432. In my country I'm an electrical engineer, (now I'm getting a Ph.D) and based on what I can see in the video, that would take a course of "differential equations (in the same we learn Fourier)", "Circuits in direct current", "Circuits in alternating current", and a course on "electronic, digital and analogue" to cover that book. And yeah we use a lot of mathematics during the university (not as deep as a mathematician of course, we just apply the maths). In my case, when I was in the university I had to take courses where we learned the Maxwell's equations haha and even courses where we learned special and general relativity, and schrodinger's equation (I don't why this topics were in the programm for electrical engineers 🤷‍♂but I had to take them, but they are so interesting topics to learn about).
    2
  43433. NON math question/comment what champions do you play in League??? you can guess by my name ;)
    2
  43434.  @TheMathSorcerer  Ahhh Jungle? You should include a twitch stream of you playing. You don't have to be a pro for people to enjoy hanging out and viewing you game. And its an opportunity for people you yack and geek aka math.
    2
  43435. you sir are definitely my role model. love and tending to infinity respect from your Indian student.
    2
  43436. Why does he look like Jeff Bezos with hair
    2
  43437. THANK YOU SO MUCH FOR CLEARING MY MATH BASICS
    2
  43438. totally agree
    2
  43439. I think that this is a great advice. To be fast you must know your material really well. I will work on my speed. Thank you very much!!
    2
  43440. Also I just did the “socks-shoes property” in my abstract algebra class, so it was so cool at the end, when I was able to use a property from abstract algebra in topology
    2
  43441. I forward lots of your messages along to my college-age children. The encouragement and study tips help soften the continuous drip of discouragement and lackluster advice they receive from their mathematics professor. Thank you for making this sort of content.
    2
  43442. I really love all of your contents and all the positive messages and vibes that you send in EVERY video, where i can see all the passion that you put in what you do Meanwhile i'm struggling in my quest of recover all the math from zero, the math that i need in order to become a good engineer..i'm really trying hard to improve and to not feel bad on my mistakes but it's very hard, i feel that there is a lack of organization in what i need to study and how, it's like running in circles again and again without knowing where to go. Thank you for every video and keep it alive! :) love from Italy
    2
  43443. thx
    2
  43444. Pen for when you need to refer to your work, it is easier to read and stands out better. A pencil is used for scrap paper calculations in my advanced math class.
    2
  43445. Didn't learn to comb yo head huh lol I'm just playing thanks for the video
    2
  43446. took me 3 years and 5 attempts to finish up my math exam with a good grade so i could get into the university i wanted i started on my first attempt with a 10/20, on the second year i got a 13/20, on my third year i got 19,9/20 and got into one of the best universities in my country i'm not great at math, in fact i'd say it's where i have the most issues, but if you keep at it eventually things will click and you'll understand whatever they put in front of you in regards to that specific subject
    2
  43447. You should definitely buy yourself a tablet. Samsung's S7+ is top notch and is fairly cheap. BUT... I guess you must be old school and prefer paper and pencil better. I do sometimes too, but the tablet had me changing sides xd Great video!!
    2
  43448. I definitely find calc III the hardest. I would say that my integrals and series were good enough to keep my grades afloat. My calc II class had an intro to calc III, and that's when I knew that I needed to study before even going to that class, which allowed me to get good grades. But damn, higher dimensions made my brain melt when I first encountered them.
    2
  43449. I enjoyed this video. Thank-you for sharing your stories with us.
    2
  43450. I prefer tablet
    2
  43451. Best way to learn math is to solve a difficult problem impacting our financial condition or concerning real life invention.
    2
  43452. Because of your learn math from start to finish video I got this book
    2
  43453. Hello from India. Your videos are very genuine I love them, keep posting.
    2
  43454. Thank you so much :)
    2
  43455. Are you unbald Jeff Bezos professor Dork?
    2
  43456. Just why?
    2
  43457. I actually like optimization word problems though lol.
    2
  43458. That philosophy should be used in all schools!
    2
  43459. 5:00 Ew I really don't like the word "Biunique" here. It sounds like Biunique implies unique, but clearly that map is not unique. I like saying we have a <bijective> correspondence between Z and 2Z instead.
    2
  43460. I wonder, how is math sorcerer’s love life ?
    2
  43461. So funny xD😂
    2
  43462. Richard Feynman-esque. Explained simply, giving those little insights to assist along the way. Thank you Math Sorcerer!
    2
  43463. You're the best!
    2
  43464. Hey math sorcerer, I have been reviewing chapter 12 for Calculus 3 using your lecture videos. Your teaching style makes the material much, much easier . I wish I had professors like you. Thank you for your hard work. I really appreciate everything you do. I recommended you to several other students in my class as well. Thanks again! Keep up the great work.
    2
  43465. Awesome.
    2
  43466. I feel the powa!
    2
  43467. 5:13- ...a gazillion?😂
    2
  43468. Good advice as always!! 🙂
    2
  43469. Studying subspaces right now😂😂
    2
  43470. Thank you Sir
    2
  43471. I live in Beijing (I'm not there right nowow) but thesituation with the virus is not that bad(in the northern part at least), but it's highly infectious so we all gotta be careful, KEEP HIGH LEVELS OF HYGIENE, and we'll be fine, I hope we(humanity) can find a cure or efective treatment to it fast 😊 God pls🙏 BTW, I love your videos keep it up, the quality is going up and ⬆, even tough I'm not good at math T.T
    2
  43472. Soviet era maths And science books dominates even today in india
    2
  43473.  @TheMathSorcerer  yeah i agree. It takes a lot of time and effort.
    2
  43474.  @TheMathSorcerer  Honestly, I think I should be in cal2 right now but since I forgot details easily, I need to relearn them all over again. I'm currently at precal btw.
    2
  43475. great video, you gave me some inspiration for a future video!
    2
  43476.  @TheMathSorcerer  I'd really love to see a mathematicians perspective on Thomas Calculus. I've been using it and I think it is great so far for the most part. If anything, it might be a little more challenging than the others I've looked at.
    2
  43477.  @TheMathSorcerer  Oh man! That makes my day. It made my day to see that you were fond of it too!
    2
  43478. Very interesting! Thanks for posting this!
    2
  43479. Thank you so much sir 😭😭😭
    2
  43480. hellow so goo
    2
  43481. Thanks you
    2
  43482.  @TheMathSorcerer  Thanks for the quick reply! That does help!
    2
  43483. If you shaved your head you'd look like Jeff Bezo's
    2
  43484. Are you interest pure mathematic Or Is It more practical math?
    2
  43485. Thank you! ❤️
    2
  43486. Thief coming to your house to steal be like : Ayy what books are this? MATHS!?! WHAT DA HECK IS THIS
    2
  43487. How real this is😂😅😭
    2
  43488. Nice thumbnail & video 👍 Kudos to anyone who can write a great math text...especially one that is good for self study. Truly outstanding is one that is completely error free! I have encountered math texts with a few errors in them (usually 1st editions, but sometimes later ones as well). It happens, but can be frustrating...particularly if some answers in the back are wrong 🤦‍♂️
    2
  43489. Hey I just recently Discovered your channel and I just want to say thank you for the words that sometimes we want to hear.
    2
  43490. Merry Christmas!
    2
  43491. My main advice is I had to put GOD 🥇. Then using your method mixed with Dr. Kerry Reams, Wim Hoff, Wilhelm Reich i have achieved a new form of enlightenment and healing that only comes from GOD. 🎉❤ Glory to GOD and peace ✌️🕊️ to Earth. Love is the highest form. Remain in Love Family.
    2
  43492. ❤
    2
  43493. Honestly I had to pause two times and check again, awesome!!!
    2
  43494. does math can make a mathematical equation that can be used to solve real life problems, like cancer, propose a formula that can visualize how math is telling the truth about time travelling(if it's true,kindly share to us what's your view) and so on? and also, kindly teach us on how to make a mathemtical equation, how to start, what to start, etc... by the way, thank you for helping us to learn something new everyday
    2
  43495. “It’s a conceptual move, not an algebraic one”. All. This. Time. I was a fool
    2
  43496. thank you so much!
    2
  43497. Fear is the shackle that binds many a would be great person to a life of mediocrity.
    2
  43498. I wish i understood math
    2
  43499. In india we learnt all this in 9th class
    2
  43500. bro ur content is some great stuff fr man
    2
  43501. Another awesome video to save to my annals for when I return to study. Thank you for all of the content you've been putting out recently. It's been really helpful
    2
  43502. It’s a real book. Wow
    2
  43503. Ahh Wolftam
    2
  43504. homework not being part of the grade is 100% correct and all professors who do otherwise are kneecapping their students.
    2
  43505. Math like this = academic music theory Math that sends men to the moon = Charlie Parker.
    2
  43506. Math = time ?
    2
  43507. I am in high school and I suck at calculations. I can do basic integration in physics but I suck at calculations. I don't even have the tables memorized
    2
  43508. My family just keep wondering why am i passionate about math from childhood and your answer is quite rational. My earliest math teacher made me love it from 1st and 2nd grade. When i grew older, i liked math in all years and i used to get well with all of my math teachers until i reached college. Someone made me believe in my self from my early childhood. That's why I think math challenges are fun.
    2
  43509. Speed is for who is already good at math, I feel. I'm certainly not, but aways trying to get there.
    2
  43510. Very helpful sir, but I have a request plz will u teach us what is the most basic most basic thing about calculus plz respond
    2
  43511. Nice
    2
  43512. birdie birdie birdie birdie
    2
  43513. Same 😂
    2
  43514. How to drop an absolute when I don't have it how 2 find it and it is not available but will try hardest but not sure.😔😅😆😀
    2
  43515. This one is actually affordable, the last one was 500 bucks used lmao
    2
  43516. Life really is easy and simple. Most ppl just don't understand it, as little as they understand themselves. The only things needed to know are context, process and structure. After that comes the Law of Attraction. Is really is that simple. Just cos it's common doesn't make it true. Yoda was correct....there is no try. Either do or do not. Really simple
    2
  43517. If you owe someone and your sister 2 $ each that’s -2 + -2 not -2 * -2
    2
  43518. Gamma function rocks!
    2
  43519. You're indirectly showing a great example that would be used in learning about Homomorphisms.
    2
  43520. Do you know that Robert “Ballard” is the name of the guy who found the Titanic! He was a Navy sub-mariner type that was involved in developing deep undersea exploration vehicles! He was a deep sea explorer!
    2
  43521. This is probably the best study advice for Engineering in general. Cause everything is problem solving and this can be applied to most subjects in Engineering. Thank you for the Video. :elbowcough:
    2
  43522. thank you!
    2
  43523. thank u sir
    2
  43524. I think out of all, I just don't know why a 70+ here in UK is a first honour which corresponds to GPA 4.0+ I mean not a lot of people goes above this line Maybe the exams are just harder here, this is the only reason I can come up.
    2
  43525. Hello, Thanks for this review! If you had to choose, would you go for Jay Cummings book or Terence Tao's one?
    2
  43526. lol
    2
  43527. I just got a counterexample for a conjecture I was trying to prove for three days. I’m feeling so freaking awesome 😂😂😂😂 I know this feeling will be over in the next problem set anyways. Let me enjoy it.
    2
  43528. Yesterday I watched The Imitation Game 😁
    2
  43529. Show!
    2
  43530. Please make more videos in this format!
    2
  43531. God I would die to share a blunt with you
    2
  43532. Love it harder! 😂
    2
  43533. You look like JEFF BEZZOS !!
    2
  43534. Wow..sir great i watched a lot of videos but you made me understand everything
    2
  43535. thanks man
    2
  43536. Math Sorcerer? Is the international softcover edition of Saracino's ABSTRACT ALGEBRA the same or as good as this hardcover edition? Just checking.
    2
  43537. Nice and illustrative thanks alot
    2
  43538. Thank you for this video🙏😊
    2
  43539. Very cool!!!
    2
  43540. back in the day, i breezed this course with partial derivatives and the matrices shown , even the triple integration, the laughing part was i never attended more than 10% of the classes ......followed the notes n textbook did it in a month, scored 89/100, this course was called Maths IV , at our University. A freind used to shout out my attendance 😂😂😂😂
    2
  43541. Hey, I have a midterm in 2 days and we were given a list of problem types that would be on the test, the words "Free Response" and "Forced Response" showed up, could you define those terms? I am currently writing a (likely more difficult) test for practice's sake.
    2
  43542. "Oscillatory Motion problems, 1 free response, 1 forced response"
    2
  43543. Oh my god this video blew up LOL
    2
  43544. And if you love learning, you never fail :)
    2
  43545. Now this has to be a clickbait.
    2
  43546. Where can I find all these
    2
  43547. after I had seen your video, I decided to make my performence of math more better than now. and also your video made me to be confident!
    2
  43548. thank you
    2
  43549. absolutly love math, and im starting to discover books to see if i want to learn if i want to go into math at the collegiate level, also theory = theowy!
    2
  43550. I ate some pie and it was delicious!
    2
  43551. ❤️
    2
  43552. Hello prof. Am a highschool graduate and I wanted to learn calculus on my own. I recently finished brushing over trignometry using Michael Corral's book. I have Soo Tang's single variable calculus book which I intended to use but I have also come across Apostol's book which I was told is nice, so would you recommend Apostol's book?
    2
  43553.  @leeming1317  I learned the difference between Mathematicians' Math and Physicists' Math.
    2
  43554. Whats wrong with optimization word problems?
    2
  43555. Do for physics and chemistry also
    2
  43556. Going to grad school in about a year and a half, two years for a PhD in theoretical linguistics. Gonna be fun. I just recently discovered your channel and I'm already a fan. I have an interesting relationship with math. Despite doing ok in it from elementary up to high school, I never enjoyed it. I've always been a more analytical thinker, but for some reason, math didn't resonate with me. I was always interested in language and philosophy, and then discovered the field of linguistics (which kind of unites all my interests into one field) around the time I started college, fell in love with it and it became my major. Up until that point, my only exposure to math had been continuous math. But studying linguistics exposes you to a lot of discrete math, and I really enjoyed it. From there, I also began taking logic courses in the philosophy department. I came to realize that I kind of have very human-centric interests, as I'm most interested in thinking analytically and abstractly about unique human abilities (namely, language and complex reasoning), and not so much about non-human subjects. So I'm a mathematical humanist if you will. I really love formal logic, but I was not able to take it this semester (gotta catch up on some other requirements for my degree), so I've been itching to do it again. Would you by any chance know any really good and challenging logic books? So far, most of my experience has been with zeroth-order and first-order logic, but I'd love to play around with as many logic systems as possible. The more challenging, the better.
    2
  43557. And then he woke up...
    2
  43558. love it
    2
  43559. One of my favorite methods!
    2
  43560. Yeah, I got into programming. I was a calibrator and nearly all the test equipment we worked with and came through for calibration had IEEE HPIB connectors, and in the manuals they had tables for what the various commands were, and for just a few instruments out of the hundreds we worked with there were Calibration Programs for them. Well, okay. So I looked around and there were a lot of these Green Screen Computers laying around. I asked the Engineer guy about the Language, Basic, and he gave me some little pamphlet about how it worked. Really, with less than 15 words you can conquer the World. So I started just building utility programs that could step my Test Instruments through a table, but it was easy enough to add Bells and Whistles with each pass. Soon I would sneak in on weekends and knock out programs that could do full calibrations, just asking the Calibrator to hook up the equipment as per certain diagrams and then hit Continue. Well, the more you work with that kind of stuff, the more you think of. Many Programs just reach out and inquire a reading and then it is either Pass or Fail, but what about Settling Time or reading jitter, you know, repeatability. There is also Hysteresis, that is, does the instrument read the same walking up the ranges as walking down.... some instruments have problems with that. So I got good at using Pass Fail Verification Loops depending on what issues each particular instrument had. Then there was calculating tolerances. Yes, I could use the tolerances from the written procedures, but it would be easier to write the Loop if mathematically generated the tolerance than sending the routine to a table. So Programming lead me into Math. Especially calibration checks for noise rejection where I would be monitoring the Input in terms of volts but the test instrument would be reading in terms of power, so that forced me to understand how to go from Linear Scales to LOGs. Then my private programs caused a Wild Fire and while I had been stamping equipment with MY Stamp and I wrote the Programs I figured it was all one thing. But while I was allowed to calibrate with Local Procedures, and use Standard Procedures but with equipment substitutions just as long as I respect 4 to 1 accuracy ratios, then everything was cool. We had a lot of latitude. But Programs needed to be approved. So I showed an Engineer what I had been doing (structure was similar across the board.... they got better but they were all recognizably my programs), my conventions for naming loops, how my Pass Fail Filters worked, and that basically all my tables were out of the book... no table skipping. So, suddenly every calibrator in the factory could use my programs. So that made me an expert and they got me to write Technical Manuals on my various programs, explaining the Theory of the Calibration as though I were an engineer. That got me writing Technical Papers for Calibration Trade Group Publications, all requiring a lot of Math. That whole time I didn't really know Math, and it was before the Internet and so I can't even remember how I managed to learn it. Oh, the Instrument User Manuals had Theory Sections and I would read through them until I carried away some understanding. OH! This was where I got the Concept of Known Good Answer. For instance, 1 volt AC RMS into 50 ohms is 13.01 dBm. So whenever doing programs that involved monitoring Power with Voltmeters I would always use the KNOWN GOOD ANSWER concept to check my Math. So I really developed a catalogue of various conversions between scales and references that would give me cardinal point KNOWN GOOD ANSWERS. That became important because other calibrators began writing programs and one of their biggest sources of bugs was that they would believe their algorithms without bothers to check for KNOWN GOOD ANSWERS. It is even good for Initial Bench Self Checking where you interconnect Meters with Generators and Oscopes and look for KNOWN GOOD DISPLAYS. But, yeah, after all that, well, I felt I needed to REALLY know Math.
    2
  43561. ❤❤
    2
  43562. Very good
    2
  43563. I had this situation in the last few days after giving 120% for months. Suddenly overwhelmed by this extensive work, I didn't know what to do next and took a break. At this point, you can only continue with smaller steps...
    2
  43564. DO THE LIVE STREAM!
    2
  43565.  @TheMathSorcerer  Thanks alot for replying
    2
  43566. Hope for the best but prepare for the worst ❤
    2
  43567. Me a electrical engineering student, crazy about this book
    2
  43568. The 2%, was also excellent in a negative vector direction.
    2
  43569. @ the Math Sorcerer Would The Math Sorcerer consider conjuring up a series on applied math ? If there's a closely related playlist, please kindly point to it. Thank you.
    2
  43570. Thankyou sir for this video
    2
  43571. The highlights of Lang's Algebra are the problem sets. As to his exposition, he can be brilliant and obscure in equal parts.
    2
  43572. fun problem
    2
  43573. Thank you Math Sorcerer.
    2
  43574. What class is this?
    2
  43575. why are you not blinking?
    2
  43576. Than you so much professor From Iraq 🌹
    2
  43577. What if f(x) = 6?
    2
  43578. Huh!!
    2
  43579. Thank you so much. you explained very well <3
    2
  43580. You do not need to check -8 and other cause we have x^2 that means parabolic branches are up
    2
  43581. 2023 and still helping
    2
  43582. Well as Galileo said "Mathematics is the language of nature"
    2
  43583. Thank you sir
    2
  43584. I have this book pdf, it's pretty Nice!
    2
  43585. I would argue that there is a lack of employability compared to many other, much easier degrees (at least at an undergraduate level). If your goal is to just get a bachelors degree to help you get into the workforce, Maths isn't the best thing to major in. It's not bad, there are definitely more "useless" things to major in. But in terms of how much effort the degree takes, weighing that against how much it will help you to find a relevant job vs a lot of other sciences (Biomedical, Biochem, Chemistry, Engineering), it may not be worth majoring in, unless you plan on postgraduate study. Physics falls into a similar place, where it's probably not the best major if you aren't planning on post graduate study as it's considerably harder than most of the other sciences, but at an undergraduate level, probably not as employable. For reference, I Majored in Physics, with a double minor in Mathematics and Chemistry, and more than anything, it's the chem minor that helped me find work in a Lab. In hindsight I wish I had have done Chem or Biomed or something more employable, that also wouldn't have been as difficult as the Physics degree was for me.
    2
  43586. You are a genius
    2
  43587. Amazing course thanks!
    2
  43588. You a lifesaver bro!
    2
  43589. hahahaaaaa
    2
  43590. Great video! Thanks Sorcerer!!!
    2
  43591. No wonder it has been withdrawn: that big X can throw people off 😅
    2
  43592. Muito obrigada pelo vídeo, me ajudou bastante :)
    2
  43593. So I have to ask - what is the significance of the shirt?
    2
  43594. The fact of the matter is that math is the bedrock of the 21st century economy. It’s the prerequisite to all sciences and most fields that have the best financial outlook. Also helps that it’s really fun. I mean there really isn’t any good reason to no learn math.
    2
  43595. Thanks. I always had problems with trigonometric identities (I am going back to 7th Form (1978) here). What was the book on trigonometry that you reviewed and while back?
    2
  43596. Oh, I just want to slip in, there are some amazing maths book by French publishers, that have never been translated into English.
    2
  43597. It occurs to me that self-motivated study, and the study of oneself are closely intertwined. That is, by learning about ourselves, we come to know what to study and thus are able to materialize the will to action. In terms of practical advice, I set aside my mornings for math study. Another important aspect, beyond setting aside time, is eating a wholesome diet with enough energy to fuel the learning process. Also, it can help to take naps. I find that if I study too hard, my mind will begin to hallucinate and misinterpret what I am reading. Taking a 20 minute nap can do wonders.
    2
  43598. At the end of my elementary school, I remember being a complete slack. The teacher gave us some mathematical problems, and I remember being the first to answer, before the nerdy applied students. That made me realize I might be clever after all. The Math Sorcerer, you are an inspiration for all of us!!!
    2
  43599. I'm a math major drop out due to collage and I am so glad I found this channel. I haven't to a point where I am consistent with my self study. Though you and your words give me inspiration!
    2
  43600. Can one be really good at mathematics without a bachelor's or some special degree of he/she study on their own?
    2
  43601. I've no bachelor's or anything related to mathematics, but I understand a lot of "complex" subjects if I say so. I've studied on my own and gain a good math level because I'm a programmer and well, before learning a lot more in depth in math I was stuck with some problem I wasn't able to understand / read in articles.
    2
  43602. Mathematics is the one subject that you can be outrageously good at with a few hundred bucks worth of books and countless hours poured into studying them. Same applies to all subjects but with mathematics its essentially free.
    2
  43603. Really helpful. Thank u dear
    2
  43604. Per Google: "Generally, if something was published before 1923, it is in the public domain. If it was an unpublished work and the author died over 70 years ago, it is in the public domain. If was written by an anonymous author over 120 years ago, it is in the public domain."
    2
  43605. What software do you use to draw and write....hopefully I'm making sense
    2
  43606.  @TheMathSorcerer Woah!! I'm very relieved to hear that it's normal..I've always thought that I was learning math like history..and that I didn't have an aptitude for the subject. Thank you so much!! Also, I agree with you on the fact that doing some sort of math helps us in getting better with other topics in maths. Like, by studying indefinite integration, definite integration got easier, as well as Differentiation and even Matrices
    2
  43607. Vladimir voevodsky and edward frenkel are my favorite role models
    2
  43608. My concern is that I can probably get into grad school, but won't be able to compete in research in the long term, be forced to leave academia, and have to sell soul to finance or something.
    2
  43609. Lil Ceasers $5 pizza apparently tastes like ass to every spoiled little shit I've met in college. But for me that shits my coffee XDDDDD.
    2
  43610. I understand I am trying to understand what your saying more than it is . Sure thanks.
    2
  43611. ❤from india
    2
  43612. Hello sir, do you advise to study one math subject at a time till I finish it? Or alternate subjects? (I am trying to self learn not for any academic purpose). Thank you in advance.
    2
  43613. 🤩😝😆 u crack me uppp soo accurateee:))))!!
    2
  43614. You're like the wizard who has discovered profound truths about the world and just couldn't keep it to yourself and wants to lure everyone into learning mathemagics.
    2
  43615. yo this is all reasons to study maths XD (i see what u did there haha)
    2
  43616. Gawd. . . what a typesetter’s nightmare that would be. It must have been very expensive to typeset and print.
    2
  43617. Honestly though. I hated math. (Except for trig, I aced that. And statistics for some reason.) But after doing a lot of programming, it kinda dawned on me (yeah, I'm pretty slow), programming is kiiinda like algebra.
    2
  43618. Thanks! Appreciate it man
    2
  43619. Nice vid, keep up man 🎄🎄🎄
    2
  43620. yeah man, I couldn't tell you how to take the derivative of x^x let alone x^x^x.
    2
  43621. I am from Bangladesh. I just love your book reviews. I want to learn calculus from basic to advanced as I am planning to learn machine learning. Please suggest me a book.
    2
  43622.  @TheMathSorcerer  thank you very much, sir. I never saw someone reply as fast as you did. much appreciated....
    2
  43623. You look like Jeff Bezos
    2
  43624. How about having it like Denmark where you don't know what percentage what thing is and it's just the teachers gut feeling that decides your grades?
    2
  43625. Thank you so much for your amazing channel you are on point in all of your videos for me lately. I am 30 years old. I am starting my first semester at the local community college this spring. I want to study math. They are starting me out in intermediate algebra lol wish me luck
    2
  43626. Installed, everything works, thanks!
    2
  43627. I was just admitted to the BSc program in math at UVic and I am 58. I do have a statistics degree, so that helps.
    2
  43628.  @TheMathSorcerer  Thanks! I was able to do all the problems in this section! Now onto 4.6...
    2
  43629. Hello Sir! Thank you for all these videos! I have a question: what's your opinion about reading a complete book without solving problems? I'm solving Mathematical Analysis by Tom Apostol, (I solved Calculus I and II, 20-30 percent of the overall of the exercises) and Differential Equations by George Simmons. I'd like to read for example, Topology by Munkres or Introduction To Number Theory by Niven. Thank you, again. Have a nice time!
    2
  43630.  @TheMathSorcerer  Oh! Thank you very much for this answer. I will consider your words in my study's habits. My best wishes to you. Have a nice time!
    2
  43631. Does it make any sense that I understand calculus and passed it easily but could barely do algebra and still don't really get it?
    2
  43632. At last! I've been waiting for your today's video.
    2
  43633. You are a good guy. Your videos are encouraging but I must remain realistic in terms of my age. Age 55 is too old to think about ever returning to college. So, I go back and earn my M.A. degree at 60. Now what? I have to pay back the loan. What can I do at 60 with a Master's Degree? You Tube provides me with the chance to learn what I should have studied 30 years ago.
    2
  43634. Subscriber here. I really liked the topic today. It would be grateful if I could see more of proof works for interdemediate level of math (the level of slightly below graduate school math) !!!
    2
  43635. Dude, I've been waiting for this video since I was in high school! (~7 years ago)
    2
  43636. That symbol is Chinese.
    2
  43637. jeff bezos ???!!!
    2
  43638.  @TheMathSorcerer  , you can have collaborators who does subtitles for you. I've never done it, but it's possible for others to help you subtitle on YouTube.
    2
  43639. Great video, thank you!
    2
  43640. I think a lot of it is your motivation to learn which often comes from an understanding of why something like mathematics is useful in the first place. I remember when I was younger I didn’t truly understand what it meant to learn something on a deep enough level that you could apply it outside of the cookie cutter problems you’d see on a test or homework. Going back over some of the math I did in school make so much most sense now than it ever did before. Studying on your own is also a good thing since I think a school environment can hinder you in some ways.
    2
  43641. I am going to show my students this video before we start our lesson today, MOTIVATION!!!! lol
    2
  43642. Got this book a couple days ago its amazing
    2
  43643. Be an expert in Math,be an expert in Business,be an expert in the Art of War,be an expert in Technology,Be an expert in Finance and Economics,Be an expert in Languages,Be an expert in all the major religions in the world
    2
  43644. Love your videos. Any advice on a balance between memorization and understanding?
    2
  43645. ❤.
    2
  43646. I think I started to get "more" serious about it after I didn't do well in Abstract Algebra and Real Analysis in undergrad. I finished my core classes and continued to take as many math classes as I can such as Number Theory and Operations Research. I was told Number Theory was pretty much just Abstract Algebra and decided to really try my best in that class and I like to believe that trying my best in the class has helped me understand my grad course in linear algebra even just a little. Operations Research is a bit of a blur, but this was another class that I did decent in. Another time was when I did an REU related to math biology. I'm currently enjoying my dynamical systems class. I guess these classes and the REU has made me become more serious with math or stuff that I'm interested in. Of course, there are classes that I am not fond of... real analysis... but I still am trying my best haha. Thanks for the video!
    2
  43647.  @TheMathSorcerer  highschool and college.
    2
  43648.  @TheMathSorcerer  I like the music in the video.
    2
  43649. I clicked on this video out of curiosity and cause its not too long. And its like, to me, he wasnt talking about math. thx it helped
    2
  43650. 🙀
    2
  43651. Passion usually comes with meaning, you have to find some sort of connection with something else you really like. Also to get meaning you need a basic amount of understanding, so at first it's hard to get passion and you have to struggle through until the pieces come together. With experience you'll come to see and feel that most things that don't make sens will do eventually and have meaning to you
    2
  43652. It was really helpful thanks a lot
    2
  43653. Are there any problems in the book?
    2
  43654. ❤❤❤❤
    2
  43655. Thanks supreme sorcerer
    2
  43656. This is really amazing..😅😅😅
    2
  43657. trigonometry??
    2
  43658. thank you so much Sir
    2
  43659. This does not have to do with the video but I saw the video on reading math. I want to read a book on game theory that has math in it specially discret math and linear programming. Currently I have taken math up to calc3, ode ‘s and basic linear algebra. Would that be enough to grasp an understanding?
    2
  43660. Thank you sir
    2
  43661. In the US a lot of men (mostly) join the military to get money "G.I. Benefits" and go to college. Went I was an undergraduate there were a lot of ex-military about your age in my classes. They actually did well. They were about the age of your viewer.
    2
  43662. I used this book in high school (1984–85) and then used the full edition (with multivariate stuff) at NC State for the Calc I-II-III series. George Thomas was a big name in the “New Math” movement, and the original version of this book came out at the same time as the rest of the SMSG materials. Note this book, “Elements” is just AB and BC calculus topics from the full 5th edition “Calculus and Analytic Geometry”. The Thomas name lives on. He’s long dead, but Thomas Calculus is still published. Probably in its 12th edition or so.
    2
  43663. thanks
    2
  43664. No se inglés pero prometo volver cuando sepa.
    2
  43665. Just tested over this a few days ago. Made an A and I’m hella proud of myself for it!
    2
  43666. Great work 🔝
    2
  43667. You‘re here when we need you the most. Thank you ❤
    2
  43668. I have some treasure for you.
    2
  43669. In Mother Russia there is one textbook. Tikhonov and Samarskii. (In fact there are lots and lots, but Tikhonov and Samarskii is the Bible)
    2
  43670. Pocket mathematics!!! ;)
    2
  43671. Another topic that not require calculus is combinatorics. I don't own any elementary books but Graham, Knuth and Patashniks book "Concrete Mathematics" is a good (and sometimes fun) read.
    2
  43672. Spanish channel?
    2
  43673. Pretty sure those limits of integration were wrong
    2
  43674. It has been an stand-up comedy not just a math lecture . Thank you for your work it was very helpful for me.
    2
  43675. Thx
    2
  43676. So much wisdom
    2
  43677. I usually try to finish the homework 3 or 4 days early so I can take a day off, then use the next couple days to study for the test. This has definitely helped me succeed in my courses.
    2
  43678. this video + these comments made my day lmao, loved it. ahh thank you!
    2
  43679. first
    2
  43680. Hey just wanted to talk about the Thomas calculus book. I’m in the US and we use the Thomas book in my calc 2 class. It’s assigned for the math lab hw part of the class.
    2
  43681. he said true🙏
    2
  43682. Excellent video
    2
  43683. Bro congrats on one Million subs.
    2
  43684. This helped me out and I don’t study mathematics thank you very much
    2
  43685. Which digital whiteboard do you use?
    2
  43686. Stop, this is giving me war flash backs XD
    2
  43687. No numerical analysis???
    2
  43688. love u very much
    2
  43689. Dude, please blink
    2
  43690. It depends, in some cases is actually counterproductive because your employer might be more interested in certifications that makes you grow in your career than having a higher degree, which is more desirable for academy related jobs.
    2
  43691. This is the one thing I have never forgotten. It is as obvious as what sine and what cosine means. I think that is where kids get lost, because sometime when I bring it up to someone (and adult) they don't even want to talk about it. I found that remembering the relationships (sec and csc are 'backwards'), why sin^2 + cos^2 = 1, and the Greek alphabet, makes learning math much easier. After that, happening upon a book that you understand, and a teacher/professor who is helpful will enable you to reach your full potential.
    2
  43692. You should see my basement…
    2
  43693. thank you thanks for your persistance
    2
  43694. This helped so much! Thank you’
    2
  43695.  @TheMathSorcerer  thanks
    2
  43696. Thanks from Hong Kong
    2
  43697. I wish I had your videos when I started my degree! :) Brilliant advice :)
    2
  43698. Inspiring content! Thanks for sharing your ideas. Highly necessary and applicable in our lives.
    2
  43699. Gracias!
    2
  43700. Would you do the same video with free books in PDF ?
    2
  43701. Thanks
    2
  43702. Sir I think the save to watch later option is missing from the vedio.....if you provide that it would be very helpful for future.
    2
  43703. Amo and imo books
    2
  43704. I think I still have a copy of that laying around!
    2
  43705. Thank you so much for sharing all your knowledge with the world. We definitely need it.. I went from failing my DE class to pulling through because of your lectures and inspiration videos. I hope The Math Sorcerer will continue to bring us such great content for a very long time.
    2
  43706. Its so fun to see your thought process! I am taking a class on nonlinear control systems and I never had any background in real analysis or proofs. So seeing how you go through them step by step is a tremendous help!
    2
  43707. Thanks
    2
  43708. what about Thomas?
    2
  43709. Nice
    2
  43710. “I can just smell the mathematics!” You are the best!!
    2
  43711. Wonderful! I had asked this subject before.
    2
  43712. Thank you so much respected sir
    2
  43713. If you don’t mind me asking, why do you have so many textbooks, especially at lower levels of math like pre-algebra? Do you find them to be useful reference books? Do each of the books cover slightly different material? A lot of the books you mentioned are really interesting, but I worry that they would just end up collecting dust on my bookshelves.
    2
  43714. Why did you choose to start with 1 in the first example?
    2
  43715. siempre es buena idea seguir de cerca al tío que está al mando jajajaja
    2
  43716. that's not even satire, that's just real
    2
  43717. I had this book but on Spanish!!! I shall buy it again
    2
  43718. When I get stuck in a current lesson, I go back to previous chapters and work some problems. I congratulate myself for being able to do something now that I couldn’t do then. I remind myself that if I could learn that then I can learn this now. It’s incremental progress. Small steps are okay. Keep going, people. The reward of pushing your intellectual boundaries are worth it. 🌷➕➖✖️➗
    2
  43719. can u make in order in education level like,highschool,collge and what year in university we will learn that topic.hope u rreply
    2
  43720. Success to me is remember all learned.
    2
  43721. I have movie suggestion. https://en.wikipedia.org/wiki/Stand_and_Deliver
    2
  43722. 😊
    2
  43723. this number is sure to drop, but as it stands 7.5% have died. The 1-2% you hear in the news is based off of the total number , 83k+3k+37k= 123,000 , of which 3,000 have died= around 2.4%, that number is assuming nobody else still infected will die, and i think we can agree that is not going to happen
    2
  43724. Oh great! Now I want to do the opposite, now I want to learn more math.
    2
  43725. Please mention Flipkart's link for your books.
    2
  43726. Cosy. When are you going to invite us over? ;)
    2
  43727. You’re amazing and I appreciate the effort you put into these videos. You’re like a tutor and a life coach. You’re really helping change lives for the better. :)
    2
  43728. Amazing 👏👏 helped a lot
    2
  43729. Thank you for the video and help. Thumbs up.
    2
  43730. What do u think about Differential Equations and Boundary Value Problems - Penney, Edwards??
    2
  43731. why isn't this the first video in your Udemy course? Still a woefully inadequate introduction
    2
  43732. wait what, they taught us disk n shell method in Calc I
    2
  43733. Hey, can you maybe upload how to prove inequalities with 2 variables? Something like this: Prove that for any two real numbers x,y, with x != 0, we have 2y ≤ (y^2 / x^2) + x^2.
    2
  43734. TNX,EZ 2 UNDERSTAND
    2
  43735. I ballpark it thusly : If it's something I've either NO or very little experience with, then I always give myself a lot more leeway. I've enough experience to realize that getting through it alone (or mostly alone) the first few times is always a very productive outcome. BUT I also realize when I have absolutely NO idea how to proceed from a certain step. Usually I take a step or two back and assume that I'm stuck because I went down a wrong path, make note of it, and see where I can possibly diverge onto something that might make more sense... Otherwise, I'll take breaks, but in the most dire of circumstances, I've got people I can ping who know me enough NOT to solve it for me.. they'll listen to what I'd done, what I'm trying to get to and HOW I am stuck 'right now' and to just give me a hint (or hints). I've spent weeks (two to three) on single problems. Think of a problem like a map that you got from the gas station. What you want MIGHT be in there.. but getting to it might be different each time, and being able to unfold it might be ONLY the first step, even though that might not be trivial in the first case.
    2
  43736. Spivak calculus is so good though
    2
  43737. Is it okay to learn maths very slowly? Coz I'm learning it very slowly and that thing discouraged me a lot.
    2
  43738.  @TheMathSorcerer  thanks man! You always got my back.
    2
  43739. I'm not satisfied with about this way to study maths
    2
  43740. I really like these videos, but I think they would be better suited to a second channel. Had to turn off the channel notifications because these videos are so frequent
    2
  43741.  @TheMathSorcerer  i have the bell on "all notifications" and I didnt got any notif for this video. I only watched i because I saw it on my subbed channel.
    2
  43742. “This is the only life you have”. Ahem, I believe in reincarnation as do millions of Buddhists, Hindus, Sikhs, Jains, etc.
    2
  43743. You just fucking save my year and i dont even speak english
    2
  43744. Thank you so much. This helps a ton and you made this way easier than my lectures.
    2
  43745. can you do a review of "The Lebesgue Integral for Undergraduates" by William Johnston? I had a great time learning from it!
    2
  43746. Thank you for this ❤
    2
  43747. How many copy of book u have??
    2
  43748. 5s, good observation
    2
  43749. "Just do it!" My grandma used to say that all the time.
    2
  43750. Great Insights....Great Video....Thanks Math Sorcerer !!!
    2
  43751. Thank you！I will read this book for my discrete mathematics course！
    2
  43752. Came here from your recent video on Tao's Analysis book. It looks like Thomas is a little more advanced than most calc texts, focusing more on proofs, but I'm wondering if this could be a good thing for someone who'd like to eventually tackle analysis (with Tao's book perhaps) since I've heard this is sort of like an abstract, proof-based version of calc. Would a more popular, but more basic text like Stewart be more appropriate for someone who's just getting back into math after a geologic epoch? Thanks for your cool videos!
    2
  43753. Calc III has quite a bit of spherical and cylindrical trig stuff
    2
  43754. such a great video !Thank you
    2
  43755. and I thought that you had been watching the 'Godfather' and had a sudden interest in horseheads - 🙃
    2
  43756. I am 46 and two years ago i have started to do math and physics again after getting a degree in engineering 20 years ago. 20 years ago i was not passionate and patient enough to do math and theoretical physics on a really high level. Now with 46 i am more patient, and after 2 years dealing again with physics and math, i wonder about the level i am achieving right now. I never was as good in math as right now with 46 because i learn in a different way as 20 yaers ago. It is all about patience and passion
    2
  43757. Thanks for your motivational videos
    2
  43758. very valuable thank you
    2
  43759. Same
    2
  43760. I agree with this video.
    2
  43761. I think it takes time to develop this belief. I would say focus on acquiring skills and belief will come. If you're like me you, then you can't just believe in yourself. Practice the fundamentals slowly and precisely and grow your skills as you watch the compounding effect of practice overtime your belief will grow. Practice, practice intensely and be patient and your skills will blossom, believe in this if you're like me and one day you'll believe in yourself. Like the math Sorcerer says, "just don't give up".
    2
  43762. Don’t drink much beer
    2
  43763. Cycling is very good for the mind and memory.
    2
  43764. Just wondering, are these videos set to automatically post at 1-hour intervals? Or have you been awake for the last 48 hours cranking them out??
    2
  43765. I nailed a difficult test and got nearly the maximum, unfortunately I didn't show step by step the solutions because I did a lot of things in my head. My teacher gave me a 20/100. Do you think she did the right choice? I don't understand how showing steps is so important
    2
  43766. Second
    2
  43767. Thanks MS. Use a bunch. Especially Matlab & Python Spyder (for purists).
    2
  43768. Is that Jeff Bezos with hair?
    2
  43769. I can’t even remember the multiplication table or do basic division, where do I start? 😭
    2
  43770. Holy Cats...Diff EQ! At least for me, one of those courses you wish you could forget but can't because it was so painful! I got pretty beat up when I took it in college in the early 80's but came out alive in the end! I think I got a B if I remember. We used Spiegel's Applied Differential Equations 3rd edition and yes, still have it. I've been thinking about a review of Calc I,II, and III and going through Spiegel again just for good measure. It's been a long, long time! Hey Math Sorcerer, any thoughts on Spiegel's Diff EQ textbook? I know it was widely used when I was in college....
    2
  43771. I'm working through Anton's Calculus book now and MS Udemy classes and finding maxima and minima problems very challenging. I've had entire Calc sequence many years ago including Complex Analysis. just redoing it for fun. Brain is like a muscle it gets weak if not challenged.
    2
  43772. Mathematical beauty is not what sustains a mathematician. It drives him, yes, but to be able to do such a difficult thing as mathematics consistently, one must have discipline. Motivation is good, discipline is important.
    2
  43773. How much time did they have to do it?
    2
  43774. Jeff Bezos with hair.
    2
  43775. I want also to study maths in Greece. The problem is that i am already studying economics and parents pay for my rent and utilities. If i go for a second degree i must get a job to pay rent ( College is free in my country ) , also studying maths require time and working parallel with studying will be difficult . My opinion is you must have money to study math as to pay rent and utilities .
    2
  43776. if you ever come to detroit swing by the worlds largest/best indie book store, who knows maybe I'll be there trying to find some good tomes for transmutation and illusion spells ;)
    2
  43777. Could you share the link professor please
    2
  43778. calculus for the practical man. review it please lol
    2
  43779. Wow! $213!
    2
  43780. math sorcerer, you are the greatest motivational speaker on earth
    2
  43781. Cheaters are only hurting themselves. Someday. Somehow, they are going to have to do their work on their own without a crutch.
    2
  43782. It would have been better if you somehow opened the book.
    2
  43783. I expect a video about math and working out for the celebration of 1M subscribers. Congratulations, you are almost there.
    2
  43784. Great video, appreciate the content!
    2
  43785. What happened to the academic tricolon of teaching, research, and service? I think it used to be the case that professors were encouraged to volunteer in aid of some community organization in addition to their teaching and research activities within the academy. In part, this was an attempt to minimize tensions between town and gown, that is, between local businesses and the educational institution. Secondarily, it might also have the salutary effect of keeping one or more professors a bit more grounded in the reality of the world outside of the ivy tower, not to mention providing some actual useful service to someone.
    2
  43786. Real words of wisdom Sir.
    2
  43787. It's better than now
    2
  43788. Felix Hausdorff , GREAT BOOK ; THANK YOU
    2
  43789. You can lay the book open by raising the back cover off the table with another book.
    2
  43790. 14 days, try 7 years, I feel like crying 😂.
    2
  43791. Well if I may ask and hope you can help me with this question :c what if I find that, for some complex function, my C-R equations hold if x=0 or y=0 for the first equation and for the second one y=0 or y=2. Does this mean that my function is only diff. at the point (0,0) and on the line y=2?
    2
  43792. ​ @TheMathSorcerer  thanks so much for your reply :D and yes i mean't y=0 or y=2 I'll correct that. So how exactly would I interpret these solutions? Is it the intersection of all the solutions?
    2
  43793. ​ @TheMathSorcerer  Thank you Math Sorcerer! Much appreciated, now is clearer love your channel keep it up c:
    2
  43794. I recently started reading a book you recommended “Mathematical proofs; A transition to higher mathematics”, where i learned how to prove something like this. The book is very good and after being stuck in “intermediate math” for a few years now, I feel like this book is a doorway to advanced math.
    2
  43795. Thank you 😊
    2
  43796. 😆😆😆
    2
  43797. Grades are for suckers......I'm dead 🤣🤣🤣🤣
    2
  43798. Wish my teacher had explained it this way, thank you very much!
    2
  43799. What do you use to make these great videos?
    2
  43800. I use pens and I prefer the friXion branch as I can erase. Thank you for the advises.
    2
  43801. 👍
    2
  43802. These days I'm struggling with Rudin's real analysis.... Sometimes it takes 2 to 3 hours to do only 2 or 3 questions.
    2
  43803. Yeah, I HATE the typo problems and the typo solutions in the back of the book. Many hours wasted on those.
    2
  43804. 0 (zero) is not in the set of natural numbers, natural numbers start with 1. They are named "natural" because when humans started to use numbers in the past, and 0 (zero) was not invented yet. They started to number objects 1 object, 2 objects.. etc
    2
  43805. The book I has puts a caveat in saying some texts include 0, and some do not. There seems to be no agreement on the subject!
    2
  43806. My gosh you’ve been uploading a lot and for ages
    2
  43807. Thanks!
    2
  43808. That was my calculus text in high school in the 1970s. Nice to see it again.
    2
  43809. The Math Sorcerer I just re-edited my comment above.
    2
  43810. The Math Sorcerer I know EveryCircuit only by 10%. It is a GREAT app. If you are much into electronics, then EveryCircuit would be highly worth viewing and buying. You can build all your circuits in that app and test them in animation. If you prefer free open source softwares and save your money, then there are DesignSpark Electrical and others whose names elude me. Give me few minutes before names will return. I had previously looked at open source softwares, but I have not yet used or learned them. I was only just browsing.
    2
  43811. I wish I could go back to college
    2
  43812. In my next life I would like to have you as my math teacher.
    2
  43813. Thanks
    2
  43814.  @TheMathSorcerer  most importantly I would love math, a good teacher is crucial for that, because in my case only after school I actually started studying math and realized I love it. Happy new year, wish you all the best!
    2
  43815. Good Job! Thanks for sharing. your math pal rick
    2
  43816. That spanish was impressive, good job.
    2
  43817. Can you make a video on calculus books for economists and finance
    2
  43818. thank you
    2
  43819. 5:29 A N Tikhonov, the guy who developed L2 regularisation. Today we use it in entire machine learning.
    2
  43820. What about finding a vector valued function for something like x^2 + x + y^2 = 4 ?
    2
  43821.  @TheMathSorcerer  i made that up, but i was searching how to do this type of problem after I was trying to solve for dx/dt and dy/dt of a given curve. I'm doing calc 3 material currently: using the gradient to find tangent line to a curve in R2, and then finding the tangent plane to a curve in R3. You end up with something like: <gradient vector> dot <tangent vector> = 0 =<partial respect to x, partial respect to y> dot <dx/dt, dy/dt>=0 And I know you can solve for <dx/dt, dy/dt> by just creating a perpendicular vector of the gradient. And I know how to do these problems the way we are instructed, but I am trying to see if the dx/dt, dy/dt, (dz/dt in the case of R3 curve) are solvable other ways. But I thought if I can write the given curve as a vector valued function, i could differentiate with respect to t, and solve for dx/dt and dy/dt Sometimes the curve given is in R2 like x^2+y^2 = 4 and that is easy to make a vector valued function of. But thats why I wonder about things like, X^7 +x^2 - y^2 -y = 40 *just giving example of uglier equation* And the given curve can be in R3, 16 = x^2 +y^2+z^2 And a point is specified of course. ill actually post again later with a problem from homework. i just finished the week, want to relax
    2
  43822.  @TheMathSorcerer  and yea that looks right
    2
  43823. thanks sir
    2
  43824. bezos + einstein!!!!!!!
    2
  43825. How can I become a college level math teacher
    2
  43826. love it!
    2
  43827. That kind of cover is called "tooled leather."
    2
  43828. 🥰🥰you are the best of best keep going.
    2
  43829. Proof that earth is spherical 😂
    2
  43830. You’re literally such a good teacher I would die to have you (or leave the class lol). My current teacher just recites the book for 10 mins and goes to her desk to drink slushees the rest of the class. Oh and she gives no leeway on tests for curves or test correction or even any tutoring sessions
    2
  43831. Best lecture of my life
    2
  43832. this video is lifechanging
    2
  43833. Thanks for the video! Do you have any book relating to the hypothesis testing method recommended? I want to know a bit more about the methodology. :)
    2
  43834.  @TheMathSorcerer  Thanks for the information!
    2
  43835. At the distant age of 33 and having been out of school for almost a decade (finished undergrad in 2014) I've decided to jump back in continuing my general education on my own (math included but also science, history, etc). Thank you very much for this video as it has been an enormous help getting an idea of what I'm in for at least the math portion. I did have a question though. I noticed from what I've seen (at least in the earlier levels) that the Geometry specific books are a little sparse (only 2 by my count). Is there a reason for that? Apologies if it is a stupid question. Thanks again!
    2
  43836. I did a trig substitution but I got the same answer so it's probably right.
    2
  43837. Hardest part of calc two was something sooo simple which is completing the square problems, I guess because I never really learned it or Ig skipped that lesson in high school Idek 😭
    2
  43838. Unlikely to be an approach that would please a mathematician as it's not especially rigorous, but as a physics graduate this is exactly how anyone in physics would look at problems like this.
    2
  43839. I have seen many tell me that you cannot get into a top grad school with the number of backlogs you have ...but I said to them "You know what !! I look at my overall profile, I am proud of where I am and I will take a chance into a Top Grad School even if there is a 1 percent chance of getting into it ..."🙂🙂
    2
  43840. Teacher you are a great Mathematicians
    2
  43841. Another great encouraging video. Can’t wait to read your book!
    2
  43842. massa
    2
  43843. Thank you.
    2
  43844. Huge props to a nerd's nerd: "I collect math books." And not just in English! Made my day. 😁
    2
  43845. At National Taiwan University, in the Calc I for the math majors, the math department uses Taiji Takagi's A Course on Analysis as the textbook, with Courant and John's Introduction to Calculus and Analysis I and II, and Protter and Morrey's A First Course in Real Analysis for references. By the end of the first week, the professor introduced the Fundamental Theorem of Calculus and derived the anti-derivatives of polynomials. Couple weeks later he introduced the metric space and the Heine-Borel Theorem. Already you can tell that they're taking a holistic approach to mathematics. BTW, for a pure math degree, a curriculum with no mathematical logic is questionable, with no set theory is unbelievable.
    2
  43846. generally not a good idea to compare math majors in Asia to those in the US lol. You could become a math major in the US without taking super rigorous courses imo.
    2
  43847. 😭😭 this video came out at the right time. Much love ❤❤❤
    2
  43848. Running this on repeat as I stare down graph theory proof for hours....
    2
  43849. You are amazing thank you so much!
    2
  43850. Do advise people to read books before taking the course ? Does it help or does it confuse people?
    2
  43851. Thank you, you helped me pass my final!
    2
  43852. Math is a language; hence, it's an art. But that's me. Also, love the MTG coasters. "Untap, upkeep, draw."
    2
  43853. I am from latin america and yes i know that book lol , its imposible to not know that book here
    2
  43854. No book on differential geometry?
    2
  43855. I have to say that his reasons are spot on. I was a math major for three years and worked a full-time job as a plumber. In the beginning, it was pretty straightforward; all of my lower-level math classes I was able to breeze through. Then the hard stuff came; I did pretty good in analytic geometry, Cal 1, and trig....but then it all caught up to me, got a C+ in linear algebra and statistics. I finally had to admit, as much as I love math, that it was time to choose a different major. So yes, he is 100% correct that it is hard work juggling everything. The only reason that I gave up on my math major was that those two C+'s dashed my hopes of a masters in mathematics.
    2
  43856. 3:48 WHY ARE YOU NOT SQUARING BOTH SIDES YOU CRETIN
    2
  43857. Smell so good.Lmao😂😂😂
    2
  43858. I actually focus too much. My mind gets glommed on to a single idea to solve and problem and don't have flexibility in thinking. I also get tense while doing problems/forget to breath which is bad.
    2
  43859. I recommend starting with Mathematics for Non Mathematicians by Morris kline then How to Calculate Quickly by Henry Sticker.
    2
  43860.  @TheMathSorcerer  A lot of anxiety I believe occurs due to the inability to calculate quickly. And let's be honest most math teachers go at the speed of light when it comes to teaching.
    2
  43861.  @TheMathSorcerer  I also recommend Why The Professor Can't Teach: Mathematics and The Dilemma of University Education. Also by Morris Klein.
    2
  43862. We still use this in India 🇮🇳
    2
  43863. Krasnov Kiselev Makarenko - a productive team
    2
  43864. You gotta know that you saved my life bro 👍💀👍
    2
  43865. In Korea we study Calculus before we even enter high school.
    2
  43866. both
    2
  43867. Actually I dont understand anything in the book 'Basic Mathematicas'
    2
  43868. Sir, what are the signs of true mastery of maths?
    2
  43869.  @TheMathSorcerer  thankyou very much sir.
    2
  43870. How I can get these books teacher
    2
  43871. You're the man!!
    2
  43872. ♥️👍🏼
    2
  43873. Thank you for every word you said in this video
    2
  43874. I do want to always know why. I love calc though
    2
  43875. thanks a lot! it was so helpful for me and so nice explained
    2
  43876. I am learning C++, this book looks like the bible for computer scientists
    2
  43877. Tysm... from india🙏🇮🇳
    2
  43878. Simply Magnificent ....
    2
  43879. Yeah math is hard as hell
    2
  43880. Unfortunately, that's not math I've never seen before, because I was required to take "special math" in the freshman year
    2
  43881. The Wright Bros invented the airplane using high school algebra and a little bit of trig. Higher math can be overkill, for real-world applications.
    2
  43882. Awesome advice! Thank you!
    2
  43883. I have the DOVER book and another by KREYSZIG, as well as a library of similar books.
    2
  43884. Failure teaches us to not be deceived by our ego. Its a great luck to have failed at some point and have adjusted your self view. Thanks for your effort. New Music background hey
    2
  43885. Never finished a formal education. Started with basic arithmetic 5 months ago, now studying polynomials! Guys like you have helped me a lot on this beautiful journey both technically and as a source of inspiration. Keep it up man!
    2
  43886. YOU ARE AMAZING
    2
  43887. ✨😊
    2
  43888. Do you by any chance know how to find the foci
    2
  43889. Math is structured for efficiency, not clarity. I'm not always sure that this is a good thing.
    2
  43890. That voice makes it
    2
  43891. Excellent!
    2
  43892. thanks <3
    2
  43893. I sense a little bit of snark in the proof of contradiction LOL XD
    2
  43894. thanks (:
    2
  43895. You should sign the books. Instant increase in value :)
    2
  43896. I want to become a theoretical physicist and my role model is Dr. Brian Greene. I really feel motivated after reading his books.
    2
  43897. What is your opinion of using khan academy exclusively for calculus?
    2
  43898. I'm a tutor at a community college and I was helping a student with physics and I thought they were being rude by telling me all students take calculus and they know trigonometry. Now I realize she what she was saying.
    2
  43899. I have Thomas's calculus its ppretty good
    2
  43900. Thanks for the video.Can you tell me what math topics are enough for Data Science and Machine Learning ? the bird is cutie :))
    2
  43901.  @TheMathSorcerer  your channel is better than most channels about maths,and you deserve more subscriber.Your math lessons include many q&a. I appreciate it .
    2
  43902. Do you have anything describing the history of the subject mathematics 🧮? How it started & evolved/discovered over decades?
    2
  43903.  @TheMathSorcerer  I would really appreciate if you make a video on such topic in the future,sharing your take on it👍
    2
  43904. I would imagine that differential equations would probably be the hardest class.
    2
  43905. 🌹🌷🥀FOCUS🥀🌷🌹
    2
  43906. Early to master sorcerer's video.
    2
  43907. 😭😭😭😭😭😭😭😭😭😭
    2
  43908. You're my inspiration math sorcerer
    2
  43909. The biggest hinderance to self-study I've noticed and I'm a polymath (but ironically terrible at math) is not having access the foundations. Again, somewhat ironically, I didn't know what some of those words meant when I completed my required schooling. Which also tell you a lot about the sort of school I attended. It sounds almost cliched but without every foundation, we often are unable to make the leaps to figure out problems either on paper or in our noodles. I've used this knowledge to help teach others by ensuring we cover foundations where possible or, where not, to find something that the already understand - say their own job - and applying a metaphor that they can apply in a world they know to a world they don't. My English has improved similarly. For example, you mention polynomials. Now imagine sitting there thinking what the ** is a polynomial because you lack the English skills to break that down into "poly" (many) and nominal (number). Without that basis the function just seems outlandish and bizarre. Integration is similarly weird when I see the functions (even now) but I understand it expressed as an electronic inegrator without an issue. Even to the realisation that using electronics gets a very accurate integral when a computer has to quantise the same solution so, when the input is moving quickly, there's a point at which the computer can't keep up and we get quantisation errors - although they're typically small. I became so obsessed with this that I almost redesigned a UV light project with an op-amp because I started to distrust the results from the microcontroller. Although after some thought it was clear that the sensor itself had such a wide error a little bit of quantisation wasn't going to matter a whole hill of beans. As another example. I missed the point in calculus when the answer was a function - which sounds weird. I had it hammered into me that a math problem results in a numerical answer, and I was unable to reach this point that calculus often results in a function. Now of course the function, when applied to a. real-world problem such as the load stress at any given point on a a suspension bridge (the first example that showed this effect when the truth dawned on me) shows the beauty of calculus. But then I realised that I was rubbish (still am) at juggling equations, even quite simple ones, and the proofs (esp. on Wikipedia) leave me screaming in frustration. I'm probably past learning that stuff now but you're right about how stupid this makes you feel.
    2
  43910. I thought you were Jeff Bezos
    2
  43911. Fantastic. Really tutorial video..❤️
    2
  43912. I love this channel.
    2
  43913. Hi! What about a video of Mathematical Analysis 1 and 2 by Zorich?
    2
  43914. thank you this is really helpful.
    2
  43915. Thankyou.
    2
  43916. And the fact that YOU took notes means that every note you revisit will bring back associated details of the lecture that you didn't commit to paper. Even if the other guy is better at taking notes than you are, his notes will not serve you nearly as well as yours do.
    2
  43917. ... many years ago, I was taking an art history class, where one day the instructor was showing us Renaissance paintings. One was of the Virgin Mary, but as the instructor noted, she had bedroom eyes, and this was a subversion of the long-standing principle that the Virgin Mary does not have impure thoughts and etc etc etc. I don't remember the name of the painting, but I do remember the note I jotted down: "looks horny". Decades later and I can remember those two words about it, and it brings back a host of other details. Those two words would not have helped anyone else the way they would me.
    2
  43918. Time dilation.
    2
  43919. Was looking forward to such video. Very grateful to you sir👊
    2
  43920. Fascinating
    2
  43921. excellent
    2
  43922. Things your math professor should have told their students.
    2
  43923. Just gotta say that I really appreciate your channel—not only for its math content, but also for these helpful videos you make. It’s really good to hear this message and other advice from you. :). Thank you.
    2
  43924. This guy is kinda a freak but I like the way he teaches
    2
  43925. I knew itttt lol
    2
  43926. It’s a conceptual move not an algebraic one LOL
    2
  43927. I think the best way would probably be when you have a problem to solve with math then you need it for something and if you don't know how to do it then you can go figure it out and that might require some studying and solving. But I am no Mathematician.
    2
  43928. Any video lectures suggested?
    2
  43929.  @TheMathSorcerer  A typical day when you are doing research on Mathmatics
    2
  43930. This works with physics as well?
    2
  43931. ayyy im first
    2
  43932. Thank you! very simple and exactly what I wanted
    2
  43933. Step 1: get your undergraduate degree in mathematics Step 2: ??? Step 3: profit
    2
  43934. I love maths The most interesting part is you spend 6 to 7 hours but don’t realise that it’s already midnight.
    2
  43935. I have just finished calculus 2 and am gonna take calc 3 soon. I also already have a bunch of logic behind me. Do you think I could start reading some stuff on basic higher level math like real analysis or anything else? I really want to learn more already.
    2
  43936.  @TheMathSorcerer  thanks for the reply! I will give it a go. I'm just so excited to learn more math and want to get to it as fast as I can since I spent my time in college getting my BA and MA in Philosophy, it wasn't until after that I realized my true passion was with math.
    2
  43937. I bet your cognitive ability is superior :)
    2
  43938. Wait shoud I have camera on my head too? Because teacher just told us webcam and turn left and right.🤔
    2
  43939. Amazing tips, thank you so much!
    2
  43940. Good stuff… probably. I added this video to my “Watch Later” play list.
    2
  43941. I had a really tough time in Real Analysis, so i dropped it and retook it. It was a bit easier the 2nd time around, i got a B plus. But then i breezed through Set Theory and Topology, got an A and A minus in those courses.
    2
  43942. Beautiful!!!
    2
  43943. Uhm, actually . . . there is or was math cabal. They were known as Bourbaki. 😄
    2
  43944. Loved it... Thanks a lot!
    2
  43945. Im starting to write solutions and skipped steps i find in the blank areas of the book
    2
  43946. The amount of tuition fees my parents are sacrificing for me to learn what I like and for me to not succeed depresses me. I can learn perfectly fine until you slap a grade on my work, once you do that I lose all interest because I start working for the grade and not for me as I just want to pass at that point-Final year aerospace engineering student
    2
  43947. Your videos are inspiring me to looking into a master in math. Thank you.
    2
  43948. love ur content
    2
  43949. For me the most interesting thing about the book is he was using "z" instead of "u" in change the variable.
    2
  43950. But the problem is: how to prioritize your time, with no guarantees of success or problem solving? It's like playing roulette, you place a bet on something, hoping to get a reward.
    2
  43951. Excellent presentation!
    2
  43952. that one should be one not 1 ;D
    2
  43953. Thanks for this. Very relieving and motivating too. I want to do so much, self study or learning new skills, with new tools, when tired after work. I think doing stuff alone, but having other like minded individuals, interested in similar topics, is extremely motivating as well, even if its entirely different branches of math or art or programming. It lets you discuss ideas with them, and them with you, and offering different perspectives.
    2
  43954. My problem is not knowing how much time you should spend on a problem when you are stuck. This always comes back and slows down my ability to complete a course on time (such as Edx or Coursera)
    2
  43955. "Is this not history class?"
    2
  43956. Hola, saludos desde Teruel, España 🇪🇦 espero poder conseguirlos aquí.
    2
  43957. I use a pen - uniball .5
    2
  43958. great video, you gave me some inspiration for a future video!
    2
  43959. 🥰
    2
  43960. My favorite pen of all times is uni-ball signo 307 (black). They don't look fancy but they are excellent for writing, especially if you write fast and at an acute angle.
    2
  43961. It is impossible to find a playlist on your channel because there is tons of content. Can you categorize in into subjects.
    2
  43962. Excellent finish
    2
  43963. 🎅👍
    2
  43964. Thank you a lot, i needed this. Wish me luck for those damn UFD's and PID's and algebra in general
    2
  43965. So you use e to simplify the ln?
    2
  43966. I agree for the most part but the reality to me is the other worldly genius is still the most inspiring, because they are the talented individual who was more dedicated and hard working than everyone else. Think Michale Jordan, those individuals who are in a class of their own, are world class performers, and historical greats did work hard, so to me hard work is the answer for all and discipline is the road to all reliable performance and skill acquisition as Euclid said there are no royal roads to mathematics, but you can't be Newton or Einstein without a lifetime of hard work and effort and it's no secret that their careers were riddled with struggle and failure at times as well on their road to historical eminence.
    2
  43967. Being a simple man who loves math I think you are inspiring, but I don`t think a real math genius would have this same approach having sincerity.
    2
  43968. Thank you.
    2
  43969. Bad, MS. BAD! Go to your room
    2
  43970. If it were not for memorization, I'd consider marrying mathematics.
    2
  43971. I love you
    2
  43972. What's the mame of your phd advisor???
    2
  43973. It took me years to improve my word problems skills. I have a long way to go.
    2
  43974. My brain goes slow if I stop doing math for some time.
    2
  43975. Well said.
    2
  43976. After looking through my Apostol and Courant calculus books, I became fascinated with PDEs. Then I saw this video and on the strength of your review, I ordered one that came out in 1953, in near-fine condition. A book to preserve and cherish for years to come.
    2
  43977. I thought I was really behind in recruiting for real estate jobs this semester. Coming into the semester, I wasn't part of any of the clubs on campus, and didn't know an of the technical knowledge. However, truly in two weeks, I joined the clubs, networked with people in the industry, made friends with the same passion and was close to finishing a crash course that basically caught me up to 80% of where those top real estate kids were. However, I would say that outside of learning about subjects, there are many areas where there is a true barrier to entry that 2 weeks wouldn't be enough. Anything relationship based basically.
    2
  43978. Hey, I've got a bit of an unrelated question. Recently, I ended up getting a B in my math course (the course was essentially the Swedish equivalent of calc 1) and it felt like there was quite a big gap between the two highest grades. As a result of this, I've gotten quite paranoid that maybe I'm not smart enough to actually get an A in my upcoming course. This brings me to my question; is it possible to get a B but then just remain stagnant at that level, even with maximal effort? I'm asking because I've kind of developed a phobia of that happening.
    2
  43979.  @TheMathSorcerer  Thanks for the encouragement!
    2
  43980. I love this book!
    2
  43981. What is the software you re using with the black background and fluorescent markers? Thanks!
    2
  43982. Rudy is one of my favourite movie 😊
    2
  43983. Hey The Math Sorcerer Are you active on Math Stack Exchange?? It is a great site for any Math Lover.
    2
  43984.  @TheMathSorcerer  I would recommend you to have an account at Math Stack Exchange. Any math enthusiast would love it.
    2
  43985. I think Axler himself recommends that book as a second exposure to linear algebra. I highly recommend Gilbert Strang's Introduction to Linear Algebra as a first exposure. Strang is the king of linear algebra. Also, if you haven't checked it out yet, 3blue1brown has a series on Linear Algebra that lays an immensely comprehensive foundation.
    2
  43986. your videos give me motivation to study
    2
  43987. Thanks MS, I follow you dearly
    2
  43988. What do you think is the best calculus textbook for a (beginner) self-learner?
    2
  43989. But, I'm a poor person, in my country 10 dollars is a one million... Can you help me to download a free copy? Thanks from Venezuela...
    2
  43990. I also agree with you. I'm one of the fast learners but I don't think I'm quite good at something just Beacuse I learned it early
    2
  43991. Ez.
    2
  43992. That's also a very true side. I think it's okay to try something out. If it's only frustrating you and it doesn't get better as time passes, there is no point in pursuing something that makes you unhappy.
    2
  43993. What tool are you using for explaining? I mean the other videos. What are you writing on?
    2
  43994. Thank you for this message 🦾🧙‍♂️⌨️
    2
  43995. Another book that I need now!
    2
  43996. Thank you so much!
    2
  43997. THANKKK YOU
    2
  43998. I'm very thankful!
    2
  43999. You are so lucky to get your hands on rare books and handwritten notes.
    2
  44000. Thank you so much for your videos! They help me a lot.
    2
  44001.  @alexandertownsend3291  , it’s a high school short hand. 😂😂😂
    2
  44002. One of your best!
    2
  44003. Wow, awesome book!
    2
  44004. Ur awsome ❤️
    2
  44005. Can you do another video on the involvement of administration in cheating incidences? I worry that admin is more and more incentivized to pressure instructors to look the other way as much as possible.
    2
  44006. Average on the putnam is 0%. I got a 0 😂
    2
  44007. No manches, yo pensé que el profe era mexicano 😕😅
    2
  44008.  @TheMathSorcerer  morning for us is very different it seems, 2am when you said that.
    2
  44009. Which book would you suggest for someone taking differential equations next week that absolutely sucks at calculus......I had to retake calc 1 and calc 2 and I barely passed calc 3. I must admit I have horrible study habit but I want to challenge myself to improve my math because I will need it for my major.
    2
  44010. I think my problem is I love to read about the big pioneering mathematicians throughout history which gives me a false idea of what to aim at.
    2
  44011. Hey, that's my college text book
    2
  44012. what a lovely video thanks alot for making such awesome videos sir learnt alot and will definitely try to incorporate all these habits slowly one by one.
    2
  44013. You should not end a course without understanding 100% of what is said. Work in team: exchange and gather info/notes/etc with appropriate classmates. Small group. Explaining things to classmates is a good way to improve your level. So if you are good at maths, help your friends/classmates. You are not familiar with all fields of maths so stay humble. Become familiar with the related subjets, topics, author, links to STEM issues etc. When a name is mentioned, get info about it. If a book is recommened, read more books of/about that author. Be proactive.
    2
  44014. A lot of math brains here!! I’m just a curious guy lol. I have always had trouble with math and being a chemistry major it kicked my butt! Organic was a breath of fresh air for me. I want to go back and re learn factoring, dividing, and polynomials(my enemies) any advice?
    2
  44015. You really inspire me, me inspiras amigo:)
    2
  44016. I have seen it before. I may be the first here to say this, but I am familiar with a lot of the stuff in that book. 🤣😂🤣😂
    2
  44017. Nice to Security Analysis as well as Marcell Link's High Probability Trading :)
    2
  44018. Looking swole, Professor.
    2
  44019. Need a series like this but for English and writing
    2
  44020. calc II sealed the deal for me as well.
    2
  44021. It is a good test, maybe just a bit long but good. I mean, the chapter itself is heavily loaded with lots of material to test on and it is hard to discard certain questions, pretty much everything in that chapter is good test question 🤷‍♂️
    2
  44022. Dude im training for the next three months to fight math sorcerer... im going to show this guy a new proof to fermats and crack those bullshit maxwell sets and hopefully our conflict will end peacefully otherwise we gotta fight hand to hand as prescribed by newtonian freemasonic law...
    2
  44023. In the world there are three type of people... Those who know how to count, and those who can't 😅
    2
  44024. I'd say there's power in others underestimating me. I cant understand how others can not read others emotions It boggles my mind time and again how they fail to read facial expressions gestures or pick up what someone is telling them bluntly Dumb is a word that is obsolete because people do have different types of intelligence
    2
  44025. Does anyone have a recommendation for a textbook on Real analysis? I’ve looked and a lot of people “like” rudin but i find it to be ridiculously terse and some things i find are explained poorly. I’ve looked for weeks now for a book that has the right amount of “hard stuff” and has good explanations for theorems but with no success. I either find a book that explains real analysis at an almost disrespectfuly low level, or it explains every as if you’re a math genius if someone can help, i’d appreciate it immensely ! :)
    2
  44026. Ok but how do you do this without stat crunch or
    2
  44027. This is not a beginner friendly book in my opinion
    2
  44028. Thanks a lot for this video!! This is exactly what I needed to hear 🙏 you are awesome!!
    2
  44029. Wow, thankyou sir, i am commenting 0:02 because I really need this video 😍😍
    2
  44030. Wow, I wonder if anyone watches Revenge of the Nerds anymore these days. Some of it is sketchy by today's standards 🤣My brother loved this movie back in the day and he is definitely not a nerd! It is so cool to know they were computer science majors. I do remember they had a very unapologetically gay character on there and that the frat was called lambda lambda lambda. Thanks for the math and the trip down memory lane!
    2
  44031. I think people are watching your videos to grab any book you recommend, then resell it at inflated prices. Music gear sellers do the same thing with the JHS show. Josh does a feature on an old guitar pedal that can be found for cheap before his video and then the prices jump on sites that allow third party sales. I found this book for really cheap, like you said it would be, but I didn't pull the trigger on it. Now no copies can be found where I originally saw it, and I'm seeing it pop up elsewhere for $35 - $40 when it wasn't at those elsewhere sites before your video came out.
    2
  44032. This is so peaceful 🕊️
    2
  44033. Ello ❤
    2
  44034. There's a song, Bridge Over Troubled Water, from Simon & Garfunkel. Very Beautiful!
    2
  44035. I failed trig the first time took it again and made a B. Failed cal 1 the first time and made an A the second time. Made a B in cal 2. On my way to cal 3/ linear algebra.
    2
  44036. This channel is for all of the OCD people out there. SATISFYING!
    2
  44037. I have this... I was thinking of doing a video on this book as a self taught math person but I am too chicken.... 🙄
    2
  44038. Man, Im glad i found this video before i finished high school
    2
  44039. See the problem is when I stop doing math, I have nothing else to fall back on. Everything else is literally way more boring. 😭
    2
  44040. Super excited I found your videos. I am studying for my final and you are covering the exact sheet I was provided. Thank you, I hope this helps me pass.
    2
  44041. What's your thought on this book?
    2
  44042. LMAO the fun part is that I actually understand this stuff but still weird.
    2
  44043. I'm 25 years old and I'm gonna start my masters this year. i left college 4 year ago and I was unable to get any college that time and this year i started studying mathematics properly and my aim to self study calculus algebra and analysis in 2 year and I already completed some calculus hope things go well so I can apply for PhD in coming years.
    2
  44044. Good book recommendation #mathtutorial
    2
  44045. Great man.....
    2
  44046.  @TheMathSorcerer  Thankyou sir❤️❤️❤️❤️
    2
  44047. 👌👌👌👌👌
    2
  44048.  @mmariokart231  Thank you very much for sharing your insights. Yeah, what you said definitely made me feel reassured. I'll surely watch that clip you've linked.
    2
  44049. ayo man sometime its just better to be hind because sometime you just a head man
    2
  44050. I find proving topology bases difficult
    2
  44051. This is a good question! I believe in my heart of heart to follow what you love. When you're older, you'll regret not having done that and the types of jobs you'll likely end up with may not suit you (if you didn't study in an area that you enjoy). Having said that, I'm also a strong proponent of professional degrees.....so if you like math and science but aren't sure how to direct that interest after you graduate, study engineering! Or if you're a math person but also enjoy business, combine it with accounting and get your CPA. These are just a few examples. Fortunately, life is flexible and you can change direction at a later time if you're unhappy with the direction you're taking in school and life.
    2
  44052. To me, it's consistency and focus. If you "show up" and focus on solving your Math problems every day, even for an hour, you will do well in Math.
    2
  44053. This is so accurate that I zoned out and opened IG while watching. 100% accurate.
    2
  44054. im really interested in learning topology,but my algebra is bad
    2
  44055.  @TheMathSorcerer  Please review some of popular mathematical journals like Mathematical Intelligencer (Springer), American Mathematical Society, etc
    2
  44056.  @TheMathSorcerer  Excellent video.
    2
  44057. Merry Christmas!
    2
  44058. 1. You are not special 2. All are kings and queens 3. You are connected to everyone 4. learn a very different language like Chinese, Arabic, etc.
    2
  44059. What do you think about Spivaks Calculus?
    2
  44060. why don't you blink bro?😅😅
    2
  44061. Watch a youtube video about the topic you don't like..Maybe there are some elements missing in your script which is why the topic does not motivate you..Especially in math often there are no motivating examples why a theorem might be useful...
    2
  44062. I immediately subscribed to you after this video, that’s real valuable content right there 💯 ✨
    2
  44063. I love this video. I was previously following a lot of tips here and everything he says is true! I feel extremely lucky to have all this knowledge at young age of 19 and to know it will only get better. Follow this man's advice and you will lead a successful life.
    2
  44064. If you even consider using your calculator as a paperweight while studying a math book that means you’re too good a math
    2
  44065. Thank you
    2
  44066. GREAT VIDEO
    2
  44067. Yeah, that's not me. Even when I'm about to understand something my mind starts drawing scribbles before really comprehending what I just learned. Like I psychically get the need to tilt ny head from side to side and overthink lmao.
    2
  44068. first
    2
  44069. Hello, I just want to ask if you could do physics book video even though you are in math major. It would be very helpful
    2
  44070. thank you
    2
  44071. Good god you really are a sorcerer!
    2
  44072. bless your heart
    2
  44073. you are great guy
    2
  44074. Can you explain why we used annihilation method after we find y_c? Can't we just find y_p by Acosx+Bsinx and write y=yc+yp? Thanks for the video btw it really helps ^^
    2
  44075. I still remember the days when I worked on Demidovic B.P. Esercizi e problemi di analisi matematica 20 years ago. If you finish 50% of the problems in the book, you don't need to read any other calculus books.
    2
  44076. A thought to consider about math and something I learned from a mathematician that I feel should be recognized.... Math is eternal because it is derived from well-formed concepts. They are not axiomatic or a set of beliefs to exist. Math can be derived from nothing by understanding the principles as Noumena or perfect platonic concepts. These are based on requirements and not axioms. I know you say that the material we learn will be valid.... but that depends on if a mathematician comes along to question the way mathematics has been derived and perhaps creates a whole new system of mathematics to explore which may or may not refute the current teachings and therefore change them. Some things will probably not change.... but all knowledge is questionable and is open to refutation. http://thenewcalculus.weebly.com/ Check out the New Calculus website hosted by John Gabriel to get a better idea. I hope it will enrich one's understanding in math. While I do agree that math is eternal.... I'm not sure if the current foundations understood today by Mathematicians will still be relevant. I don't agree that Set Theory is an appropriate foundation in mathematics which use axioms and not requirements. I think the foundation of mathematics should have clear and concrete requirements that any reasonable human being can understand. The biggest challenge in mathematical education is attempting to explain highly abstract concepts that are derived by mere belief instead of relatable concretely. I don't have a degree in math so I'm not as knowledgeable in understanding the current foundations of mathematics but I do question if there can be different systems of mathematics out there that can be derived as requirements and are geometric.
    2
  44077. I found this ancient book store hidden in the corner of the strip mall as I was getting some lunch one time. I found such cool shit there man. It beat the College's library any day. Talk about Charlie in a Chocolate candy, but instead of candy, it was juicy knowledge nuggets. Not to mention the Prices ranged from .25c to $25 no more. At uni. Gl getting shit under $100/250.
    2
  44078. Reference book for this course?
    2
  44079. Lightning McQueen will be happy after watching this. 😂😂 I AM SPEED 🚗🚗
    2
  44080. i really needed this although im not studying math yet
    2
  44081. That's a bird!
    2
  44082. Math Sorcerer - can you do a slide rule tutorial? ➕➖✖➗💫🌟📚✏📏📐
    2
  44083. Beautiful collector’s reference book.
    2
  44084. Just with a book like abbot or Ross, even thought it is introductory I still struggle with it at times, and it makes me feel bad because I know it’s considered the “easier” real analysis books. Part of me wonders if I will ever make it to a rudin.
    2
  44085. How does Ron Larson’s Calculus textbook compares to Stewart’s and Spivak’s?
    2
  44086. ... I'm simply grateful for being alive, even if I know nothing.
    2
  44087. Somehow, Zhang Yitang's name fly to my mind.
    2
  44088. I subscribed because of your hair style. No, but I agree with self study for math. Most principles I came to understand were through that model. And reading a math book takes skill, like when a problem is presented and the example in the solution follows, the abstract notion, in the problem, is not obvious, just there to be discovered by the saavy student.
    2
  44089.  @TheMathSorcerer  Thanks for the link! Regarding the Simmons book, I am lucky to have a huge collection of math and stats books. I am more of a statistician (M.S. in Statistics) but I do like math a lot and over the years (I’m 58) I have had to look at a lot of math and stats books. I continue to marvel at the book by Simmons in particular. It is so short, and yet so clear and to the point. I would definitely appreciate a mathematician’s thoughts on this book. Thanks for your reply, and I greatly hope that you have the chance to review Prof. Simmons’ book sometime. Your YouTube content is great and very much appreciated!
    2
  44090. You will not be able to see and like my comment after sometime Because you will have millions of comment and views
    2
  44091. tHANK YOU
    2
  44092. being out of school for 30 yrs....algebra just makes more sense...lol....gonna turn 50 here pretty quick...never thought I would be making a full circle bk to math.... it's what I have to do to advance in nursing
    2
  44093. Try herbal supplements like ginkgo biloba, bacopa monnieri, alpha GPC and there is a whole range of such nutropics out there on amazon. Black tea is also my remedy.
    2
  44094. FUN FACT:Ritchie, Kernighan and Thompson among others developed Unix. The precursor to and inspiration for the ever popular Linux. Respect.
    2
  44095. Great
    2
  44096. I'm a nerd, just not a math nerd. I'm intending to pick it up again, because I feel it a point of failure in my life, as it prevented me from becoming an engineer. Life turned out okay, as I transitioned into the repair aspect, from the design aspect of technology. I'm self studying into Calc 1, just to gain knowledge, and basic proficiency, not a new career. Also, the ideas fascinate me, even though I can't do the calculations. I did achieve 2 degrees, in technology (AAS) and business (BSci). I did well, just along a different path.
    2
  44097. Can you make a video on books on measure theory for beginners to advanced level?? It would be of great help.
    2
  44098. 2:55 "it's because it's so good HUEH "
    2
  44099. My problem is that when I focus on learning and not on maximizing my grades, my grades end up being C's and below. Since my goal has always been grad school I always had to worry about grades since I am so bad at obtaining sufficient grades.
    2
  44100. Learned something new , thank you
    2
  44101. awsome
    2
  44102. When you come to India 🇮🇳
    2
  44103. spot on....thx!
    2
  44104. Ok👍
    2
  44105. Jen’s mom Beth here; Thank you. When I was younger most things came easily. The deeper I became in any aspect or subject the complexity became confusing, I didn’t realize I should need to, or that it was okay to take more time to study. Taking a walk, or even a break, or eating a meal in the past made me sometimes feel like I didn’t quite measure up. I tend to hyper focus on things. I’m much older now and have perspective on each person’s ability and willingness to learn. As a life long learner I cannot tell you how important it is to be reminded that if you want to continue your passion it is just fine to take time and breathe.
    2
  44106. Thank you so much!
    2
  44107. Needed this. My Linear Algebra class has so many proofs 😭
    2
  44108. Very helpful thank you soo much ❤️❤️❤️❤️
    2
  44109. hello I finished self studying multivariable calculus, would you recommend me to study topology? I watched your video on it and I understand it's a very challenging subject, but after this I really don't know where to go. thank you.
    2
  44110.  @TheMathSorcerer  Thanks. Any recommendation to practice Algebra? Also a book will be nice.
    2
  44111. Things English teachers never say: Math in stead of maths, as in short form of mathematics.
    2
  44112. Thank you very much for always giving us moral and support! :)
    2
  44113. Frankly, if you were beginner, it would be better to go for contemporary books used by most universities such as Gallian's Contemporary Abstract Algebra, Fraleigh's A First Course in Abstract Algebra, or Gilbert's Elements of Modern Algebra because there are also student solution manuals available to these textbooks. Students could check their own work against the printed solutions to ensure the understanding of the materials.
    2
  44114. Thanks :)
    2
  44115. Very good indeed! Thanks a lot.
    2
  44116. great tip.
    2
  44117. Thank you for the video.
    2
  44118. Would be nice to hear your thoughts on the book "An intermediate course in probability" by Allan Gut. Myself really enjoyed it, reviews on sites like 'good reads' tells however a different story. It's quite a read, and it's not cheap! But it would be nice to hear what you think of it.
    2
  44119. Why would anyone ever hold a marker like that?
    2
  44120. Trivial!
    2
  44121. Thank you Willi Wonka !!!!
    2
  44122. GREAT REVIEW
    2
  44123.  @stevenzimmerman3945  lol great pun. Yeah, but dim here to not realize that it probably was sub k. I love the formulas for the positive even and odd integer sets.
    2
  44124.  @stevenzimmerman3945  you are the best in explanation of sub. Your approach is easier to follow
    2
  44125. Thank you for making me more interested in math!
    2
  44126. I guess this is a good time to say to work smarter, not harder
    2
  44127. Your videos are very useful
    2
  44128. I really appreciate these videos, I am an undergrad student and these recommendations have been a great help to me and also thanks to the people commenting down the book they used to learn the topics.
    2
  44129. You said we only use a small percentage of our brain but that's a myth. We use about 65%.
    2
  44130. 😂 Basic mathematics
    2
  44131. i needed this today
    2
  44132. The blank page is part of the format. Engineers are pathological, and must start the chapter on the right page. It helps to find chapters with minimal effort.
    2
  44133. Online maths exams sucks ass. Fortunately, I don’t have to take maths classes this semester, because I would have dropped it temporarily.
    2
  44134. I can smell it too!
    2
  44135. Now I reaally didn't understand what the heck is PC loadletter !
    2
  44136. 6 years later... Thanks man! :)
    2
  44137. i was one of those talented not trying hard enough kids when i was a teenager, didnt try that much, took me turning 30 to get my act together and learn those lessons. ty for makin this video.
    2
  44138. Love your content <3
    2
  44139. lol, Your advice and videos are awesome, you deserve every success.
    2
  44140. Wait so calculus is hasn't changed since 1922? Book Publishers: It naver has been
    2
  44141. The Math Sorcerer I’m taking that course next semester Spring 2019 and am a CS student. This is going to be a fun math course! I’m going to check if you have any videos on discrete math, thanks for the info!
    2
  44142. Hey, the math sorcerer. Does your proof based set theory proofs course on udemy pairs well with the Halmos set theory book?
    2
  44143. How tf can he write like that?!
    2
  44144. Its not just me then!!! Thanks for being honest!
    2
  44145. Hi. Don't forget about food, because you'll lose ability to focus! Mac and coke are a very bad choice( too much sugar). Plain bread with ketchup is a nightmare!
    2
  44146.  @TheMathSorcerer  thanks, I was talking about using a different limit for the same function/series here. I know it would be wrong, but I was asking myself how this verify that 2/3 is the only limit. Thanks a lot man, love your channel!
    2
  44147. Love form Bangladesh 🇧🇩🇧🇩
    2
  44148. That was kinda cool. Not gonna lie.
    2
  44149. u need to wear tank top more often
    2
  44150. I ate sum pie and it was delicious 😅😂
    2
  44151. Wow! On French Amazon it costs 52€...
    2
  44152. Hey math scoreer am out of mathematical infinitys. So can you donate some mathematical infinitys so i can play level 50: topology
    2
  44153. This is exactly the type of YouTube I want to tune in after done some math problems
    2
  44154. I think learning math is like going to a gym
    2
  44155. You sir are an amazing person. God bless you.
    2
  44156.  @TheMathSorcerer  you are welcome. I have been trying to teach myself maths and your channel is my favorite resource. You are doing great work. Thank you.
    2
  44157. Thanks for sharing!
    2
  44158. Bezos in a wig.
    2
  44159. Do you ever like using blackboards or dry/erase boards (not too big) at home with a big problem?
    2
  44160. GREAT for Any Business & STUDIES!!
    2
  44161. Yep - currently back at uni for graduate level coursework. No regrets with the decision I made to leave my job behind, even if things don't pan out the way I hope. I didn't enjoy my work and I am enjoying learning about physics and computational sciences. It's challenging, stressful and time consuming but worth every second. If you want to do it and can do it - do it. If you need to do it and you think it is worth it - do it. If you are unsure - take more time to decide. What's the hurry? If you just enjoy learning, there are plenty of free resources out there that will allow you to learn at your own pace. If you don't want to do a whole degree but just specific units, some universities offer community accessible classes where you don't need to be in a degree to do it. Explore your options so you make a decision that is best for you.
    2
  44162. When did you get into maths?
    2
  44163.  @TheMathSorcerer  so when you were like 18 ? Sorry for being nosy
    2
  44164. The only thing I found difficult pertaining to disks and washers was remembering which variable to integrate with respect to the other, but some how I managed to get an A in that class. I don't know if it helped that I was learning the area between two curves at this point too. I'm taking Calc 3 now and I have hope I'll do fine.
    2
  44165. This is a lie: there is no finnish in mathematics!
    2
  44166. The Math Sorcerer IS a math professor as well as someone who cares about mathematics. Those aren't always one in the same! I'd take his expert advice. Likewise, experiment and find out what works best for you and your courses. Best of luck.
    2
  44167. Isn't there any about differential geometry?
    2
  44168. why is this so accurate
    2
  44169. Paying attention to this until I launched a new browser tab to look up J. K. Jemisin, to refresh my memory, since she now has a Masterclass, as per the YouTube advertisement that preceded this video. Had to rewind to find out what it was, that was the third thing not to do. Immediately after this, a Norman Wildberger announcement popped up, for his latest course [1] Distractions :-) 1. Exceptional structures in mathematics and physics from dynamics on graphs https://www.youtube.com/watch?v=peLRDMhWai8
    2
  44170. Good video
    2
  44171. This encouraged me to keep on with my workout routine. I had stopped for a little while. 💪 🧠
    2
  44172. So it's cool if you turn out to be an engineer I am one hahaha
    2
  44173. Thanks! I always forget to make as many exercises as possible.
    2
  44174. You always know what i am currently struggling with. And notifications just pop up when i need your video. 😂 Great reminders!
    2
  44175. Books for arithmetic iv'e been relearning that an pre algebra so i can go to algebra than geometry etc i want to get good at math.
    2
  44176. you look like jeff bezos
    2
  44177. Indian jee advanced math paper is good check it.
    2
  44178. Thank you for your words!
    2
  44179. UPDATE T=48 minutes and I’m ready to take the L LMAOOOO
    2
  44180. Yay more affordable books! I just got a few dover books!!!
    2
  44181. thanks :)
    2
  44182. Rocket shit. HAHAHAHAHAHAHAHAHA
    2
  44183. Bruh, I'll assume you live in a mirror version of india. Since the india I know loves it's math
    2
  44184. Thanks Sir . Love from India
    2
  44185. This was just a very big oooof
    2
  44186. Thank you so much, teacher for all works
    2
  44187. I disagree with you, the problem is not math and its logic, the problem is how and who teaches math. Every body can learn math if its explained correctly and buildup correctly. The most schools world wide Curricula are ignoring the correct sequence /order to buildup math knowledge.
    2
  44188. Jerry Shurman’s “Calculus and Analysis in Euclidean Space” is an ideal text for undergraduate mathematical purists.
    2
  44189. Thanks Math Sorcerer! What a lovely place, to be in touch with nature, now I know where you get most of your inspiration.
    2
  44190. I don't think that is how you get taught in grade school. But this was how i was taught later on because i forgot the grade school method.
    2
  44191. Great advice.
    2
  44192. Merry Christmas dear Sorcerer
    2
  44193. I do applied maths and use a pen as well. Some of my classmates use pencils but I mostly see pens
    2
  44194. AMAZING. VERY GOOD AND SUCCINCT ADVICE. love how simply and straightforward you put it. TAKE ACTION.. THIS 2023 WILL BE MY BREAKTHROUGH YEAR OF HUGE SUCCESS IN MY FINANCES, CAREER AND MARRIAGE. Thanks. Godbless
    2
  44195. I got all the true or false ones correct but I'm a second year math phd student so xD
    2
  44196. this is my random video about math to make myself go study
    2
  44197. Gracias guero
    2
  44198. I have a test in Calc 2 in 30 minutes haha
    2
  44199. Good luck.
    2
  44200.  @TheMathSorcerer  Thank you for the heart. Much appreciated.
    2
  44201. Giveawayy
    2
  44202. Well said, I couldn't agree more. Thanks for all of your videos whether it be new math lessons or brilliant comedy skits.
    2
  44203. The Math Sorcerer I have gotten to using mostly Blender and EveryCircuit, as I am very short of time in day. I wish I have 42 or 84 hours in a day.
    2
  44204. Great lecture! Definitely one of my favorite parts of DE’s.
    2
  44205. Thank you. I don't understand English very well but it is very well explained. greetings from Mexico
    2
  44206. Why noy use the half angle formulas? I got the same answer while doing 10 less steps. Very helpful video, thanks!
    2
  44207. Congrats on 100k 😮🥰
    2
  44208. Beauty of romance mathematics 😍🔥
    2
  44209. Bridge is unfamiliar to me.
    2
  44210. The Math Sorcerer I’m watching your college algebra course right now. And I love how the calculus made easy book was only $22 dollars and I got more concepts from just the first few pages. Your channel really is my salvation. I understand limits (infinitesimals) and little bits so much better now
    2
  44211. crazy
    2
  44212. Hello Nice to meet you I subscribed❤
    2
  44213. simple and easy ! The text book said , exercise for the reader... tried it but failed ! thanks
    2
  44214. I want to believe :-)
    2
  44215. Thanks bro verey helpfull 🥰🥰
    2
  44216. Incredible video
    2
  44217. Your head looks like Newton and your face looks like Jeff Bezos
    2
  44218. Shadow wizard money gang We love casting spells.
    2
  44219. Needed this
    2
  44220. Isn't it funny that this guy is talking about some mathematician that died? So much work and study and just to die in the end. All that mathematical knowledge gone into a grave. Like Albert Camus said: life is absurd.
    2
  44221. Two quotes that I think of that help me, maybe will help others. “He who has a why to live for can bear almost any how.” ― Friedrich Nietzsche "You may leave this life at any moment: have this possibility in your mind in all that you do or say or think." - Marcus Aurelius
    2
  44222. Waw
    2
  44223. Jeff Bezos loves math huh
    2
  44224. Hey; I like you.😌
    2
  44225. I wonder if there are any good deals to be had in having batches of softcover texts library bound into hardcovers? For some of the better texts, even $20 or $30 each might be worth it. I find it bizarre that Lang's Basic Mathematics doesn't have a hardcover edition.
    2
  44226. 😂
    2
  44227. Nos vimos carrera..!!
    2
  44228. What you said in this video, would have been my comment to this video! ;) This is good advice when you get into the working world, too.
    2
  44229. I have this book! I am also studying differentials equations in my degree, nice video!
    2
  44230. Should math departments make a 1 year course out of this book with a bit of expansion on some of the topics.
    2
  44231. I love coding. But my passion for trading (Forex) has kept me from reaching my goal as a software engineer. Now after years of learning how to trade I now realize that to make real money trading it require a large capital. Am trying to continue My skill now. But I still find it hard to focus between the two. I have to let go of one for now. this had kept me confuse which to let go off .
    2
  44232. Studying mathematics as the lessons and courses continue on our online platform with webinars. Also finishing my bachelorthesis on "Delay Differential Equations (DDEs) & sun-star calculus". Sun-star calculus is a beautiful functional analytic framework to study systems with a infinite dimensional statespace like in the case of DDEs.
    2
  44233. I would say sometimes it is difficult just to set the right goal for you. Because when you learn mathematics, you are jumping into territories that you don't really know that well and if you set the goal based on mathematical knowledges (i.e. do 4 problems a day, learn what is monoidal category for today ...), things sometimes will takes few minutes but sometimes takes hours or even days.
    2
  44234. Hi
    2
  44235. thank your mister. our prof solving these problems by changing the differential in order to not to introduce new variables but it only makes things more confusing
    2
  44236. Oh, man, this is so good. And this music... Oooooh! :D
    2
  44237. i just finished cal 2, I found it easier than cal 1
    2
  44238. I saw math as a puzzle
    2
  44239. I think your video has increased demand for these books! Cheapest I can find mathematical proofs: a transition to advanced mathematics is AUD$175 inc postage.
    2
  44240. This channel is great! Has been very helpful
    2
  44241. Do you know books for learning sculpting and carving or do you know someone who knows?
    2
  44242.  @TheMathSorcerer  so do you know anyone who knows?
    2
  44243.  @TheMathSorcerer  no problem❤️
    2
  44244. Review real analysis by SK MAPA
    2
  44245. You should always live in present no point in thinking in future won't make day come faster that day will come eventually. My friend keeps thinking of year 2043 his team could win 30 league in a row
    2
  44246. Very nice. I’m Brazilian
    2
  44247. It's not a matter of not being able to comprehend the subject, it's a matter of being motivated enough to fully understand the subject.
    2
  44248. Is it possible that a student stop doing math problem once he has acquired sufficient mathematical proving skills from analysis, linear algebra and abstract algebra ?
    2
  44249. If you free to choose the text book you would prefer to teach from, not the text book defined by the college's requirements, what would you choose? Would it be an older text from say the 1950's or 1960's, or do you prefer the modern texts as an example from Stewart and Larson? Do you think the earlier texts are more rigorous compared to modern texts?
    2
  44250.  @TheMathSorcerer  Thank you. I do have the Stewart 6E texts and all of the Teacher's complete solutions manuals for it, all in Metric. I would like to do problems from the Richard Courant texts I have from 1937, and of course, the Advanced Calculus (Woods) book that is coming.
    2
  44251. Imagine doing all the excersises in this book...
    2
  44252. Precocious = mature for one's age; unusually well-developed
    2
  44253. I like pretty much your books overview.
    2
  44254. Wowwwww, I love it, it's proving the law of haversines using the Cosine and Sine. I love it.
    2
  44255. I am learning partial differential equations and I am finding it very hard. Elliptic, hyperbolic, parabolic equations, Riemann method, Lagrange's identity etc. I can solve the easy problems, but I don't the why and how of characteristics equations and other stuff coming in proofs and solutions. Will keep on trying help, things will unfold with practice or am I lacking something ? Any suggestions?
    2
  44256.  @TheMathSorcerer  thankyou 😊
    2
  44257. Reading forces the mind to create images and manipulate them. Videos provide the images ready made. Reading is vastly more powerful.
    2
  44258. Actually, one of my math professors told us this semester that we don’t really need the book he assigned 😳
    2
  44259. in self study you can use the way that is more effective for you.
    2
  44260. Mir = "world" in english
    2
  44261. You also play chess btw?
    2
  44262.  @TheMathSorcerer  capablanca?
    2
  44263. love from Pakistan
    2
  44264. Thnks for ur valuable advice👍
    2
  44265. I am a mathematics education student. Thank you sir for the video. I hope there is a translate into Indonesian. 💕 and i love all your videos sir. ☺
    2
  44266. Thanks my man. I needed this video today 👌
    2
  44267. Maths takes patience and practice
    2
  44268. Sir, can I email you? I want to ask a question related to math.
    2
  44269. 👑
    2
  44270. He looks like sir Isaac Newton
    2
  44271. I'll so glad I found your channel. I have to learn discrete maths and algorithms for CS and maths terrifies me! (But i love computers). Here's going a small part of your enthusiasm rubs off on me!
    2
  44272. Excelent video!It helps me. I love u
    2
  44273. Even though I clicked on the video because I was interested in the disadvantage of self studying (as self studying since high school has changed my life a lot in the most positive way), but I found other bits of the video very interesting too. For example, the "too many ideas" part. I'm turning 22 soon and just finishing my degree. Since the end of elementary school I dug myself very deep into problem solving and maths competitions, and self-studying olympiad topics really helped me understand these topics more. Even though I ranked top 3 occasionally in national math competitions I never got the chance to go to the IMO and in my last year in high school I decided maybe theoretical maths is not my way to go, I'd be bored in research, so I went to study electrical engineering. Now I feel the complete opposite: research is what I want to do. In fact, I prefer academical research with "new ideas", where a new method or approach is published. This is what I'm best at too I think. But when I try to dive deeper into a subject like stable matching in graph theory, I'm flooded with my fresh ideas (most of which would lead to nowhere) and I just can't focus. Most of the time I can't even read a short article in a day because I just get distracted by my ideas whilst reading a paper and I stand up and walk around thinking about something else..
    2
  44274. Very very helpful
    2
  44275. proofs are some of the most elegant things to watch. I recently began going through Euclid's Elements for that very reason even though it is not taught anymore. That very first proof in book 1 is transformative.
    2
  44276. Nice but it will be great if these editions are also be available in PDF or EPUB 🤔
    2
  44277. Jeff Bezos Renaissance Era
    2
  44278. As soon as I saw Albert Einstein giving some advice, I instantly believed lol.
    2
  44279. this was helpful, thanks so much!
    2
  44280. This burns to my very core
    2
  44281. Young man, U are appreciated
    2
  44282. What is field theory sir?
    2
  44283. I don't have interest in studying maths how to improve interest in maths
    2
  44284.  @TheMathSorcerer  If I have to study math compulsory so what should I do to score better😐❓
    2
  44285. Ah, but how does it compare to Synopsis of Pure Mathematics by C S Carr (where Ramanujan learned the basics)?
    2
  44286. Wow, you’re looking really good man. Please drop the weight training or calisthenics routine.
    2
  44287. Please more videos like this
    2
  44288. I have only one question. How did everyone know who was the person with the 2% result?
    2
  44289. There are classes on proof writing?
    2
  44290. EXPERIENTIAL...
    2
  44291. Great video. What combinatorics book do you personally like and recommend?
    2
  44292. I'm on level 0 and it'll probably remain that way
    2
  44293. What software do you use to write on that black screen? Just for curiosity.
    2
  44294. ... more generally, for all x in the domaine of f.
    2
  44295. My school got shutdown today. we really do not when we are coming back
    2
  44296. I love that the graphic on your tank top is very similar to the cover of the book! Deliberate or coincidental?
    2
  44297. thank you so much!!😚🥺
    2
  44298. That was my book in college, I read almost entirely and a lot of problems
    2
  44299. Wonderful advice!
    2
  44300. It is OK to not understand, but it is not OK to just give up and skip every time.
    2
  44301. Prof. Actually what is the different between advance calculus and real analysis
    2
  44302. Wow... <3
    2
  44303. I have that same attitude too! It is a good attitude to have.
    2
  44304. Right on brother!
    2
  44305. Muy buen vídeo! 😀
    2
  44306. Also there is no shame in taking a nap. It works wonders for mental clarity and motivation!
    2
  44307. 💯
    2
  44308. No measure theory or stochastic processes ? No Topology, Algebraic Geometry and stuff ? Funny :)
    2
  44309.  @gdsfish3214  Yeah...But these are the coolest in my opinion.
    2
  44310.  @carl6167  Yeah but there is no way to learn these without having a more broad and basic understanding.
    2
  44311. Not to sound unreasonable, but there are 168 hours in a week.
    2
  44312. I like Cauchy Euler Differiancial Equation series. A waiting of long time is is over. Thankyou very much Sir.🙏
    2
  44313. What fun! Thank-you.
    2
  44314. Chance you can make this video again for Calc II & III?
    2
  44315.  @TheMathSorcerer  Thank YOU! For everything. You're the best out here
    2
  44316. Thank you again - simple, concise and easy to understand!
    2
  44317. Thank you for the vid! Very helpful! :))
    2
  44318. First time I started loving math for the sake of math was integrals and numbertheory in highschool
    2
  44319. Can you please make a video on how to gain scholarship opportunities to pursue graduate degree in mathematics in the U.S
    2
  44320. You know a professor is great when he breaks it down into the simplest steps. Well done!
    2
  44321. Unfortunately, my supervisor doesn't like when I write my proofs step-by-step in detail because, to him, it is too long and he doesn't want to read such a long text. :( :(
    2
  44322.  @TheMathSorcerer  Was (s)he your supervisor?
    2
  44323. Really thought the answer was going to be "hands" based on the thumbnail... those are definitely a useful asset
    2
  44324. I am a senior in high school and had a test on series and sequences two weeks ago…But I completely forgot that I can use the ratio test as a cheat code!
    2
  44325. A simple life is the life for me.
    2
  44326. learn in chunks first...before proceeding to higher math, learn integer, fractions, distributive property, factors, basic equations first before proceeding to higher math, learn first the terminology often use in math, practice and learn by example in books in video tutorial..
    2
  44327. 🤩🤩🤩 Beautiful...
    2
  44328. on the very first amazon link it shows me the 5th edition of discrete mathematics, but you have a second edition. Id imagine it doesn't matter right?
    2
  44329. If you get the chance, could you please make some videos covering the basics of Manifolds?
    2
  44330. Sonnenschein is simply German for 'sunshine'. So, 'sunshine' and 'green' sounds pretty cute.
    2
  44331. I started burning out after my advanced calc midterm today. Like literally I am so happy that I am done with my pure math classes after this semester and start getting into big boy physics classes
    2
  44332. the books written in the sixties , seventies and eighties were more difficult then now because of Nicolas Bourbaki mathematiciens Group. If you want to read famous math books take a look to french ones, i think that French teachers and academy are the best one in the world for teaching mathematics.
    2
  44333. a transition to mathematics is actually my choice for starting out. it teaches you everything the previous books do, except better
    2
  44334. this is standard calc 2 test . i took this course twice. both times got a B. did not have time to finish the test .
    2
  44335. I watched sir's differential equations playlist and scored a 95/100. Thank you sir. I owe it all to you :)
    2
  44336. I'm 15 years old and I'm Mexican, you're my role model C:
    2
  44337. Your books presentations makes me wanna read math books! Great work!
    2
  44338. Keep up the good work!
    2
  44339. I teared up watching this. There are so many times when you feel you are just not "intelligent" enough. That there will always be prodigies who will be ahead of you, no matter what.That you will struggle endlessly and never achieve those extraordinary standards.Thank you for this video.
    2
  44340. My Calc III covered Stoke's and Gauss'. No Calc IV in my day. That was 1984. Made Physics a breeze, though.
    2
  44341. First
    2
  44342. What is the best undergraduate book abstract algebra?
    2
  44343. U mean THICCCC
    2
  44344. college math books are thick with color printings nowadays, from low level to higher math... this one is just... fairly tidy
    2
  44345. Thank you so much for taking the time to make this video, it is by far one of the best things I have ever come across on YouTube. With sincere gratitude, Simon
    2
  44346. I want simple solution for those who did not study solution of homoegeneous eq with constant coefficient and power series.
    2
  44347. Great video.
    2
  44348. thank you 😍😍😍
    2
  44349.  @TheMathSorcerer  you're so nice <333 may God bless you!
    2
  44350. Damn 0 dislikes
    2
  44351. 0:28 hahahahaaaaaaaaaa
    2
  44352. The book is very clear, esp on the tensor products.
    2
  44353. I think you are putting too much on these exams. You want to do well, you want to be good as your friends, you want to make your parents proud. Too much pressure brings anxiety. My advice is focus on the topics, enjoy learning them for yourself only. The rest will come afterwards naturally.
    2
  44354. I am in second semester at college in India. I chose Electrical engineering, preferably because I could switch it to Physics or related fields in future. I am trying to change myself actively and I have to succeed in it. I hope you all do so. Thankyou
    2
  44355. Thank you, I did it by contradiction, is this ok?
    2
  44356. These are good words🎉
    2
  44357. What do you think about the Openstax books? They have several on prealgebra, precalculus, calculus, algebra & trig, and some others I think. And since they're free it means I won't have to spend money, but I want to know what you think about those, are they any good?
    2
  44358. why do i always tend to forget what i study math? is it because i didnt understand it well enough?
    2
  44359. Steven Krantz wrote a book on mathematical maturity. The thing is reading a math book and understanding it to the point of applying it. Especially when the book has zero exercises. That is like the ultimate level of maturity. To get to that point after reading sich types of books is not like learning to drive a car.
    2
  44360.  @TheMathSorcerer  https://bookstore.ams.org/spec-72
    2
  44361. Bruh. The video no one asked but we all needed. Thanks.
    2
  44362. that language is chinese, and the words is SiChuan University, a very good school in China
    2
  44363. Still have my copy of K&R 2nd Edition. Cover is battered, filthy and coffee-stained, post-it notes stuck here, there, and everywhere, marginal notations in unmpteen colors of ink, pencil, and even sharpie marker, dog-eared almost to death... "Well used" would be one way of putting things. Taught me everything I ever dreamed of needing to know about the language, and some stuff I never would have guessed I needed to know...
    2
  44364. great vid
    2
  44365. Math? impossible
    2
  44366. very nice to give this as a recommendation
    2
  44367. I somehow made it through calc 1.now I’m struggling through calc 2.
    2
  44368. I repeated calculus 1 once, calculus 2 three times and a basic proof-writing class once. Life and poor study habits got in the way, but now I'm three semesters away from graduating! It's all about owning your mistakes, keeping your head high, and looking towards the future.
    2
  44369. Wow the two trucks going to the same place totally blew right past me. This is why I am not Bez
    2
  44370. Thank you for that video! Very motivating!
    2
  44371. I cant find any playlists of yours relating to real analysis... just videos in different ones... Exam Tomorrow... In dire need
    2
  44372.  @TheMathSorcerer  Thanks!!!
    2
  44373. Thank you <3
    2
  44374. Just like charging into shore break that can kill you to see if you can make it to the outer point break that's going off, you'll never know if you don't try. The worst thing that can happen is you lose everything, lose self respect, and give up trying. Reality is what you make it.
    2
  44375. "If they can do it, I can do it myself." This was my number 1 quote while studying Computer Science. People came into classes like "OMG, THIS IS SO HARD, I CAN'T", and I was like "Hey. this person had to CREATE IT, you just have to learn how to do it... you will really come at me and say you cannot LEARN something others had to CREATE?" - and it made everything so much easier when we thought about a thing like that. And many of my friends years later CREATED amazing things with so many hard concepts, it makes me proud to have pushed them through "hard times" in class. I really do think people give up too early sometimes, PLEASE DO NOT ALLOW YOURSELF TO GIVE UP!
    2
  44376. we should start learning from pre-algebra or discrete mathematics?
    2
  44377. Thank you for this. I've been watching your DiffyQ series and its been a huge help!!
    2
  44378. Please do more videos like this one about problem books like this one.
    2
  44379.  @TheMathSorcerer  will you please take a look at jee exam India. Just google jee India. Will you do it pal
    2
  44380. Cool promotion. I think It could also work as a review for non-native speakers of English!
    2
  44381. I ate some pie too, Rad shirt.
    2
  44382. The content of this presentation is valuable because your experiences are valuable. Thank you!
    2
  44383. Thank u
    2
  44384. Great vid! When I did this exercise I assumed wlog y>=x to estimate further like you did.
    2
  44385. I Knew Calculus by watching the Math Sorcerer videos
    2
  44386. Sir thanks for a vedios
    2
  44387. Teachers are like marshallers they guide you but you have to fly the plane yourself to take off or land it's all on you
    2
  44388. Another great video, could you discuss how you get so many great books at a low price. I just got a copy of analysis I by Tao and despite being half off it still ran my dad 30 bucks
    2
  44389. Thanks sir
    2
  44390. I just love that bilbo bagging is teaching us maths.
    2
  44391. any recommandation fro Analysis 1?
    2
  44392. Thanks!!
    2
  44393. We went over it a little in AC theory but they wanted us to move on from it. Volume of a sphere, power triangle applications.
    2
  44394. I hate loneliness. Neumann and Schrodinger are not.
    2
  44395. Great video.
    2
  44396. I agree. That's why I may have to quit my math phd. I had to endure so much pain to get to where I am at that I lost faith in myself and faith that everything will be okay. So it makes it ver hard to focus especially with anxiety
    2
  44397. this is gold
    2
  44398. What's the math equivalent of "Hello, world"?
    2
  44399. I learn by doing
    2
  44400. Thx
    2
  44401. I´m glad that you let us see your library, thanks(even in quite good resulution that it is possible to read all the titles)! It is wonderful and one of the most precious scenes to be seen in author´s youtube video. I wonder if you put them in shelves in order by some characteristics.
    2
  44402. Nice fun video!
    2
  44403. THANK YOU !!
    2
  44404. What do you think about "The elements of real analysis", by Bartle & Sherbert?
    2
  44405. I study at Federal University of Amazonas, in Brazil, and, for the 3rd semester, we're taking Differential Equations (that's just one course, trying to balance between classical and qualitative theory and applications), Geometry 2, Algebra 1 (which's very weak, in my opinion). Also, the post-graduate students will take Analysis in various variables, that's kind of accessible for the non post-graduate students (here in Brazil, we don't have minors and majors).
    2
  44406. As a student, I like your handwriting. Big and distinguishable👍🏻
    2
  44407. I love it.
    2
  44408. You saved my day, thank you
    2
  44409. sir, how is " how to prove it" by Velleman for an absolute beginner ??
    2
  44410. Alex's adventure in numberland is a great read for maths students or people that are interested in maths
    2
  44411. Calculus 2, Linear Algebra 2 (eigenvectors...?), Discrete Math (think there's graph theory in it...), Programming (data structures and algorithms), communications module (teach us how to read technical papers/explaining math/science concepts to a non-technical audience)
    2
  44412. Best book ever!
    2
  44413. This is cheating
    2
  44414. Thank you
    2
  44415. The BEST blueberry pie 😂😂😂
    2
  44416. cos(i)=1.543080634815243778477905620757061682601529112365
    2
  44417. I started my PhD at age 42. I was older than some of my professors.
    2
  44418. Thank you
    2
  44419. Salute sir you are life saver
    2
  44420. Derivative,Derivative,Derivative,Derivative,.................
    2
  44421. Thanks man . I'm thankful for your channel
    2
  44422. Can you do some Category Theory book reviews?
    2
  44423. This is not math, first question is a geodesy problem, most of the others are mechanical engineering.
    2
  44424. Congratulations ! Thank you .
    2
  44425. ❤️❤️❤️ thanks sir🔥
    2
  44426. BRO I’m just getting in my B.S. in Mathematics up in Ohio! This will be so useful to me along the way. Thank you!
    2
  44427. thanks i was in a mid-maths-crisis but now i'm out thanks to you
    2
  44428. Excelente!!!! me ayudó muchísimo.Muchas gracias
    2
  44429. I like apostol’s calculus more
    2
  44430. Great video!
    2
  44431. Cool! Ooo, you're seeing my exclusively math account, spoooooky~~~
    2
  44432. This is one of those I think would do me a lot of good to include on my study guide. Luckily it is pretty intuitive I think. Just the combos of u's and y's and stuff. Honestly, it's not bad... But yeah, do you have any videos where you derived this? It reminds me of cross products were we have two vectors <y_1,y_2,0> and <y'_1,y'_2,sec x> (The order may be different in the actual derivation, and that may or may not be important) where W is the z component, W1 is the y component and W2 is the x component. From then I don't know where we're going, or like what we can glean from it all? Right now it is one of my least favorite things in mathematics, a formula I have to memorize without really understanding the parts, Heck, the quadratic formula that is notorious for being that isn't even that at this point, x value of the maximum plus and minus the roots! Honestly, I wish I could visualize what an integral in 3 dimensions really was... I guess I could look it up if I'm that curious, but AFTER studying for the midterm is complete!
    2
  44433. Comes down to where you learn. I am an accounting/infosystems major and took math first semester before COVID. I had a great time because the prof was to the point and I had people to work together with in the class. I made friends and we would always hang out at the library and teach each other. I did the same with my other classes and excelled. Now COVID came along and everything is eLearning. Not only are my profs more challenging but I also have to deal with the fact that my day consists of staring at a tablet screen all day long. I lost most interest and just "get by" enough to keep my GPA where I want it. I study for my Math exams 3 days in advanced and feel very secluded since eLearning doesn't encourage meeting new friends. I just can't learn at home and being at a cool Uni in Chicago was what got me exited in the first place. Environment really does have an affect, for math or any other course.
    2
  44434. all of my math teachers are math gurus
    2
  44435. you could do little mini series videos/thin books (chapter or 2) explaining text book problems. step by step expounding various problems in detail, giving reasons for certain approaches. working with the authors and publishers of each book. it'd make money for both parties, help struggling students pass and from seeing half million subscribers... be popular. and a 100 page student guidebook would be easier than a 800 page text to approach writing. I can see them becoming a cult classic like the MIR series.
    2
  44436. Calc 1 was easy for me. Calc 2 was doable but by far my least favorite math class I’ve ever taken. I’m halfway through Calc 3 right now and it’s definitely more enjoyable and easier than Calc 2 was.
    2
  44437. Just curious, would it perhaps be possible for you to run a preview of a Mathematical Methods for Physics and Engineering textbook at some point?
    2
  44438.  @TheMathSorcerer  studying compactness and ordinals
    2
  44439. Good evening professor.
    2
  44440. Very helpful, thank you.
    2
  44441. I want that book!
    2
  44442. I thought it would be impossible
    2
  44443. :))
    2
  44444. Sir, plz make a video on cylinderical coordinate and spherical coordinate system ...
    2
  44445. 😂😂😂
    2
  44446. I hope you will allow YouTube to translate your videos into English with automatic translation so that I can benefit from it I don't speak English Good day
    2
  44447. can i have these for free
    2
  44448.  @TheMathSorcerer  thank you
    2
  44449. Thanks a lot brother
    2
  44450. Lots of fitness YouTubers will watch this video
    2
  44451. Basically, things go faster because they take less time?
    2
  44452. Thank you, professor.
    2
  44453. ❤️🎉tysm
    2
  44454. ❤️
    2
  44455. very helpful!!!
    2
  44456. super easy
    2
  44457. Thank you, it really helped
    2
  44458.  @TheMathSorcerer  and I was also wondering why you say the book is ten dollars but with your link it's 240
    2
  44459.  @TheMathSorcerer  my teacher just dropped me from the class. On my way to regular college algebra. Half the class got dropped for failing her stupid test. I'll continue to learn the subject on my own. I'll stick around to watch the rest of your videos bro!
    2
  44460. I suggest making higher level mathematics videos like advanced integrals in collaboration with other channels like flammable maths and bluepenredpen Or go the theatrical route with mathologer. Either way, I’d love to see you teaching
    2
  44461. 👍
    2
  44462. I wouldn't believe something as 'horrifying' as math could be fun
    2
  44463. I am just now watching this video on my mother's large TV screen.
    2
  44464. Watching this for nostalgia. I remember watching this for the first time 1 year ago .:_old:
    2
  44465. Thank you !
    2
  44466. I ban "I am too old" from my mindset. When I turn 60, 70, 80, etc, I will always think myself as 25 -- younger, if I am a badass. I have never even outgrown my love for cartoons and animation.
    2
  44467. This tree while i was looking at, its a Mandelbrot all over!!.....
    2
  44468. Your message so clear and helpful thanks professor
    2
  44469. Yes. I am convinced I'm not very quick, but I do invest a lot of time into learning and I do it for leisure in my free time. For me math is obviously intimidating but that just makes solving the problems that much more satisfying. Obviously school is a little bit more stressful of an environment to practice math in, but it was the skills that I practiced in my own time that made me "quicker" than the other kids. I found a lot of people if given enough time in school could easily learn the things I do, but unless they do the extra work many of them will struggle. Much more enjoyable to learn when you aren't stressed by some deadline. I took this second year university Calculus class and my god they tried to pack so much information into that course that it couldn't possibly all be thoroughly explained. At first the only reason it was easy for me was because I was already familiar with a lot of the material, but in the last half of that semester I was just as screwed as everyone else.
    2
  44470. This semester I witnessed 3 lectures totally derailing into zoom Q&As. Pretty fun until you realise you missed out on this weeks dose of knowledge but next weeks test doesnt care and wont use lube.
    2
  44471. Nothing but facts
    2
  44472. this is so sad. i hate math. i’m a humanities person all of the way.
    2
  44473. Great recommendation
    2
  44474. Electrical engineer is applied math but the best one. 1. Circuit theory, electromagnetism, electrodynamics, ordinary differential equations, hydrodynamics, partial differential equations, linear algebra, Fourier analysis and trigonometry forms the basis of such career. 2. Logic applied to circuits, finite difference calculus, probability and statistics is the second backbone on such profession. It's fundamental. Again, mathematics is their main source. Without it the profession would be nearly impossible.
    2
  44475. I remember I was trying to study ODE's using Pontryagin's book, very popular in our country, which is surprisingly called "ODE's". There was like 50 pages of proving theorem of existing (and being only one) of a solution to Cauchy problem :)
    2
  44476.  @TheMathSorcerer  Thank you for reply. I am wondering what things are present in undefined realm of math. It is really off topic for this section. But I am asking what is your opinion on undefined.
    2
  44477.  @TheMathSorcerer  Wow, I liked the way you thought about that so simply. Thank you
    2
  44478. Brother, your videos & channel are great. Please upload videos on Algebra , detail video would be great. If you know any Book for self study for algebra for computer programming (algorithms) then please do review of that book. Any Book on probability & statistics for self study for data science and machine learning ? If ?, Then please do review of that book also. Thanks , All the best.
    2
  44479. This is an interesting problem.
    2
  44480. If I am not mistaken in his forward of the first course in calculus he states that students ~ 15 years old can understand and comprehend his book. Got my old copy in 1986 at Chicago lawn Books sale 25 cents - I prevoiusly withdrew this book earlier - holds history for me. Good video I am glad and ammazed to see other people value such items.
    2
  44481. I really appreciate the videos!
    2
  44482. Hi Math Sorcerer
    2
  44483. I spend 98% of my time at around 3:20 and the other 2% at 4:47😂
    2
  44484. How do you know if you ever get the answer right then
    2
  44485. My daughter had a setback in calculus at university. I imagine online is very hard right now. Maybe do a video on how to self-review and overcome issues. How to bounce back. You are awesome. Good work.
    2
  44486. nice
    2
  44487. Yo
    2
  44488. It’s pronounced “meer” not “murr” it means peace
    2
  44489. Don't you have any book recommendations for number theory?
    2
  44490. I took advanced maths as an elective subject. It was okay at first but then my marks started to deteriorate. But u know what, I ain't givin up, nor am I taking a different direction. I will do it one way or the other
    2
  44491. Mir never fails to deliver pearls
    2
  44492. I think I want to start looking into Differential Geometry (specifically [pseudo] Riemannian Geometry, cuz I wanna learn general relativity eventually) after finishing my vector/advanced calculus this term. Got any good suggestions for books?
    2
  44493. excellent teacher thanks alot man
    2
  44494. What you are saying is spot on. I graduated with a BA in Economics while working a full time job (40+ hours a week at least), and I can say first hand that it SUCKS! Your day turns into 15 hour work days because College is basically a 2nd job. But in the end it was so worth it. I got my degree one lunch break at a time, with very little debt and I will always have the pride of knowing I worked hard and earned that achievement. ...now, would I do the same for Mathematics? No way LOL! That would be insane. I'd much rather be a full time student.
    2
  44495. Merry Christmas, friend. I hope that you have a very mathematical happy new year. Thank you for the advise and the constant encouragement.
    2
  44496. Great problem solving is based on patience. If you don't understand now, at some point, you will.
    2
  44497. I wonder how many viewers have not noticed the bird on his shoulder, while they listened.
    2
  44498. Thank you doctor Nice simple talk
    2
  44499. 1:24 damn i felt that
    2
  44500. your videos are inspiring
    2
  44501. Nice advice
    2
  44502. Lovely. I want that book now.
    2
  44503. Interesting 🧐
    2
  44504. Thank you! Math Sorcerer I need this advice❤
    2
  44505. D stands for diploma 😭
    2
  44506. Awesome voice n explained in a well defined manner😊thnxx
    2
  44507. Thank you so much. I needed this after failing Differential Equation.
    2
  44508. this is Jeff Bezos, Wizard Jeff, parallel Jeff, slightly different outcome - books, bookstore, sales, Careful thinking, interesting perspective regarding money, pricing, sales, passion, acceptance, decisions. multiverse is real, we are in the multiverse, we are all different versions of each other.
    2
  44509.  @TheMathSorcerer  Unfortunatly I don't understand how you are making that substitution. I seem to be missing something
    2
  44510. Do you think reading this book can be usefull before beginning a bachelor degree in mathematics ?
    2
  44511. There is Students manual with solutions for this textbook. Just say.
    2
  44512. when will you do fan meet up ?
    2
  44513. Great video! I wish I saw it when I was doing calculus in school :P
    2
  44514.  @TheMathSorcerer  Thanks for the response, it did make sense. I just never really rely on that when I proved onto on because I felt like you needed more than just that.
    2
  44515. ooooooooh my GOD😱 thnx brooo😧💜
    2
  44516. No way you did computer science... I guess you're now my idol or something
    2
  44517. What really ur gonna call the police lol🤣🤣🤣
    2
  44518. I read somewhere that having a schedule and sticking to it helps. This is advice for writing, but it seems to help me with other things to do. If you stick to a schedule, its supposed to get you used to being creative at that particular time. I saw on one of these videos that we should do math in 30 minute session. I do that and 30 minutes is not enough for me. I always want to do more math, but I stop after 30 minutes. Later I come back and do another 30 minutes. Limiting myself to 30 minute sessions makes me look forward to math. I think I will implement the 30 minute session in other things I'm interested in. Maybe someone loses inspiration when they have too much of something and they should limited it. I also suggest doing creative things like painting to see if that will help someone be more creative in math. One piece of advice for writers when they are blocked is to take time off from writing and do other things. Maybe that same advice will help people get inspiration with math.
    2
  44519. With each book review I am more & more convinced that you own every Math text I have! I don't know know if this is a big coincidence or a small one (but it certainly makes me proud of my collection!!)🤓
    2
  44520. Yes!
    2
  44521. Book worms? Or book bed bug?
    2
  44522. If jeff bezos was a teacher
    2
  44523. I did not know this. Thanks! Great video format btw. I think 10 or so minutes is a good length. Look forward to learning some more
    2
  44524. Seems very familiar to me as an engineer.
    2
  44525. Thanks!
    2
  44526. That's a great video, thanks! When looking for those books, it's easy to see a time lapse of 10 years between editions. As we know, not aways the latest is the best. Usually, I get the oldest ones, which is when, I think, the authors were really inspired. Any comments on that? Thanks again!
    2
  44527.  @TheMathSorcerer  I also love when some used/old book arrives with the mail and it comes with an old library card. The last one was calculus made easy, which came from AbeBooks with a library card from some university in Austria, I guess. Some come with phone numbers, messages, etc... it's nice.
    2
  44528. helpful thank you
    2
  44529. More contrast, no need to sharpen them, can't erase by mistake, can't run away from your mistakes.
    2
  44530. Woahh thanks a ton I sat from 10 to 2 am yesterday solving complex numbers, all concepts were right but this frigging silly mistakes It was so hard to match the answer Ahhhh I have a test today I feel so much better now Screw it let's do it THANK YOU MATH SORCERER ! ❤
    2
  44531. True words, thank you
    2
  44532. Heart disease & diabetes are normal; my doctor would NOT agree that they're not bad
    2
  44533. You can start in math, but there should not be an ending. Always continue learning. Edit: Sounds tacky and overused, but I really do mean it.
    2
  44534. Thanku so much sir 🙂
    2
  44535. I love your ASMR video, Math Sorcerer Sir. Your place is also very nice, still not yet touched by human hands.
    2
  44536. Tough love.
    2
  44537. Nice
    2
  44538. I definitely trust a man who looks like both Jeff Bezos and Isaac Newton
    2
  44539. What software are you using for these math videos??
    2
  44540. Right now I am taking a precalculus class and I’ve been struggling with rational expressions. Thank you so much for the advice and encouragement. I wish you were my professor. You seem to know how to encourage people.
    2
  44541. This ignores the fact that lot of people actually love maths and they see failure not as a rejection but like journey to succeess, like someone trying hard to pass a video game level. People are intrinsically driven to do Math. The same people would not take rejection in other areas so easily.
    2
  44542. His book website would be a cool exercise in batch downloading for CS people. Thanks for the heads up, Prof. I've been looking for some decent grad level books in some of these topics.
    2
  44543. Never rush solving a hard math problem. Never a good idea.
    2
  44544. I never got to learn topology, but watching math symbols used for shorthand proofs are fun. I’m such a nerd!!!
    2
  44545. thank you so much sir i got my homework because of this video.
    2
  44546. Downloading a new brain right now
    2
  44547. The Spivak and Apostol calculus texts are also really great.
    2
  44548. Yup. Even linguistics is at least 70% set theory. (:
    2
  44549.  @ardiris2715  oh yes that’s just the vocabulary grammar is really just a specific form of algebra so that means that language is at least 90 percent math
    2
  44550. Very cool, this took some of the mystery out of diff eq's for me. I'm still in Calc I.
    2
  44551. Excellent video. Thanks for upload.
    2
  44552. Very clear explanation, thank you so much!
    2
  44553. The most White and green person ever lived on Planet heart
    2
  44554. let your computer(brain) absorb the information....study a technical subject EVERY OTHER DAY!
    2
  44555. I'm an audiovisual communications student, so naturally we are okay with a basic knowledge of math. Plus, I've never considered myself good with numbers, but I'm trying to change that. And this is EXACTLY what I've been looking for now that I have free time. English is not my native language, but I'm up for the challenge!
    2
  44556. First comment
    2
  44557. All of your videos are really informative. Gonna support your channel until my last breath hehe
    2
  44558. I needed this video 😁, thank u man
    2
  44559. Thanks, makes a lot of sense, and very motivating
    2
  44560. It's my first semester in college as a freshman. I applied as an accounting major because I knew that it required some basic math and that I would be working with numbers. I had completely discarded the idea of furthering my knowledge mathematics after I had failed the AP exams for both calculus 1 and 2 in high school. I always excelled at math from a young age, but when I had failed those exams I was convinced that I had reached a limit in my knowledge of mathematics. I ended up having to take a calculus class for my account major. I noticed that I had a lot more free time compared to when I was in high school. Because of this, I was able to finally dedicate proper time to math. I was able to fully understand the material in my calculus class and had scored 105% on my first exam. I have also been tutoring math, up to calc, for about five years. I ended up making a big change, and I decided that I want to pursue a degree in pure mathematics. I am planning on getting a Ph.D. in pure math. I also plan on becoming a professor, because I really enjoy helping people understand math. (I guess I acquired this from working as a tutor.) So I guess I can say that I've taken a beating with that AP exam failures, but I've gotten back up and I've developed a new relationship with mathematics. I now have this burning desire to learn more about mathematics. I'd also like to thank The Math Sorcerer for helping further my interest in mathematics through his videos.
    2
  44561. Omg I'm going into university to do maths next year and I didnt know that the double integral was the volume! You learn something new everyday 😂
    2
  44562. I've seen many nerdy things in my life but this tops it all.
    2
  44563. The downside is that it is really expensive. However his complete course is uploaded in YouTube.
    2
  44564.  @TheMathSorcerer  it is awesome, theodore shifrin is really good in teaching the intuition behind concepts and he really focuses on the geometrical part of calculus. Another awesome book in advance calculus is Hubbard's
    2
  44565. I like you, brother. You’re inspirational, motivational, and optimistic. I’m sure your YouTube channel has helped a plethora of people who thought math just isn’t for them, when in reality it’s for anybody that wants to learn it. Keep it up and I wish you nothing but peace and love now, and in the future to come!
    2
  44566. Any other advice you would give to someone who just started uni and is taking math classes?
    2
  44567. i love your video
    2
  44568. I'm 46 who has built a successful print business which I sold for a nice sum. I did very poorly at maths in Highschool - in fact, because I was so young for my grade, I chose to redo a year to try and do better at Maths. This still did not improve my results in the way I had hoped. The only thing I learnt from maths is determination. But now I really want to learn Maths. I have always loved the magic I saw in it but just never got it. I will explore your channel further - I am drawn to equations and that sort of thing. I am only interested as a solid personal hobby. I want to do equations (excuse the ignorance if this is the wrong term) just for personal pleasure each day. Videos and great books have helped me teach myself Python... I also prefer books. (Even though I have been diagnosed as dyslexic.) Is there a book you suggest as a good place to start for me? Thank you so much!
    2
  44569. Sorry - no need to bother you - I found your video with some recomendations. Thank you so much!
    2
  44570.  @TheMathSorcerer  thanks so much man
    2
  44571. One book I really like is point set topology: a transition to advanced mathematics by Andre Yandi. The first chapter is all about proofs and sets. The book is really good.
    2
  44572. Thank you so much for your generosity!
    2
  44573. Superr niceeeee
    2
  44574. This is not what I thought of when I read the titleof the video. I think it goes well beyond material needs, I think mathematics are minimalist by their reliance on a handful of definitions and axioms. Or in their sheer generality of results, as they can cover a lot of ground with very little. I am also reminded of Kronecker's famous dictum... Take programming for example, it is cumulative in the bad, bloated sense of the word. LOC(t) increases exponentially. Some languages like scheme are truly minimalist as they can be built up from a few rules, and as it turns out, those are exactly the languages that appeal to mathematicians, too!
    2
  44575. Thank you
    2
  44576. Still pumped from lifting those books!
    2
  44577. Wow found a great video and very helpful. Thanks a lot sir.
    2
  44578. keep em coming
    2
  44579. Have a test tomorrow, wish me luck
    2
  44580. Yep lolz, this should be a fun rest of the semester. We appreciate what you're doing to make our coursework easier.
    2
  44581. Thanks for introducing this book. Bought one!
    2
  44582. dude, why calculus? no need for calculus to go into linear algebra, what am I missing?
    2
  44583.  @TheMathSorcerer  thank you for your reply man! I'm going through a mid-life crisis lets say hahaha I used to like mathematics, until I took calculus I in high school, then that was it, if math was gonna be like that, I did not want to go that direction, to fast forward to now, doctor in philosophy, going over math/logic/analysis, and I think calculus is useless or maybe I got the corona and it rotted my brain? be good!
    2
  44584. Where's Abraham Robinson's book.......'Non-Standard Analysis'
    2
  44585. This might be your finest piece of advice to date! ;)
    2
  44586. Thank you sir
    2
  44587. Yay
    2
  44588. Great vid! I did the same thing when I registered for a class on Logic in the Fall semester....so during my Summer vacation, I bought myself a cheap logic book from ebay and did problems from this book every day. Got an A in the course.
    2
  44589. Thank you, I am not a follower of this channel but i have started learning coding 20 odd days back and it is difficult and intimidating. but your words inspire me and i keep reminding myself that i will someday get better at it. Thanks Again
    2
  44590. As a retired Catholic school teacher who only taught in the elementary grades, here are my tips. First, know the vocabulary. Yes, math has a vocabulary. If you do not understand the vocabulary, then you will be lost. Also give yourself an edge. Memorized those times table, a lot of errors do happen because those skills are not taught and people hit the wrong digit on their calculators. Lastly, think in terms of sequences of numbers. There is always a pattern. My love of math actually happened when I started to teach. It is just a puzzle and if you like Math, your students will like Math, too.
    2
  44591. Great video. I'm glad to know I'm not the only one having these dark thoughts.
    2
  44592. I would like you to review a book , it's algebra for jee advanced by G tewani , everyone in india says it's the best book for algebra.
    2
  44593. so relatable! 😂 😂 😂
    2
  44594. How can I find inexpensive used Epps book?
    2
  44595. You can build a lovely mathematics library, relatively inexpensively, from Dover books.
    2
  44596. 💙
    2
  44597.  @TheMathSorcerer  I will say, 'tis a nice monday gift :)
    2
  44598. ¡Muchas gracias!
    2
  44599. I'm like 15 and I feel like it's too late then the comments gave me enough courage Guess I'm starting today Cuz math has always been a love for me Wish me luck in this journey
    2
  44600. Thank you for your videos. I just wanted to know "How to read & understand the depth of mathematics formula" so that we can understand any mathematics formula & equation and solve it without any hesitation. Thank you 👍
    2
  44601. Fantastic! Just exactly what I was looking for! Thank you 🎉
    2
  44602. Everything they said that wont be on the test will be on the test
    2
  44603. I feel like it's more of an interest thing than anything. When I was in high school and I first learned geometry and trigonometry, I started seeing the world in terms of that from my learnings at school which made me crave learning more about said concepts. Conversely, I absolutely sucked in band because for that full hour, all I could think about was I couldn't wait to go to the next class.
    2
  44604. Relate ♾
    2
  44605. This video is well done and is very funny.
    2
  44606. "Why did you drop out of your calculus course?" "I'm looking for a more original approach - this course struck me as derivative" (from the no-doubt extensive list of calculus-based puns lol)
    2
  44607. This is a golden advice
    2
  44608. ❤❤❤❤❤ I enjoyed it so much And very easy to understand
    2
  44609. Calculators should be allowed for homework but not for tests. Normal calculators not wolfram alpha or other crutch calculators though.
    2
  44610. Painfully accurate... Great stuff as always!
    2
  44611. Thanks for this video. I think it will be great for me, it will definitely help my brain, my thinking, and my comprehension skills and don't have to be lazy doing nothing. It will be great for free time after work and on time off from work. I'll get these books in the future once I have my first job and make good amount of money.
    2
  44612. Thnks for this video...sir i m Comp..sci..student. ut i luv maths more than any subject...but now i want to you sir that can you give me some books which are behind your...bcz i dnt have money to buy all these...that is y...plz sir...i m from indian Kashmir....
    2
  44613. Please review some geometry and combinatorics books.
    2
  44614. While I agree with the grand narrative of trying to learn it, I don’t think it’s necessary to learn every course in college. To me, at least, I think it’s more important to learn what you need to learn. Depending on your degree, it all comes down to what you’ll take and need to take with you into your career. For me, I have a deep fear of math, but I know there’s no way I could be that bad at math (mother is an accountant and grandfather is a math major). However, as I try to learn math, and even want to attempt taking higher math courses, I find myself disdainfully pissed that I have to take a handful of humanities classes. I love to write creatively (have written short stories, and am even working on a fantasy series now), but to sit here and say I want to learn what the humanities classes teach, would be a lie. Therefore, I deem it important to not only focus on what courses are going to benefit you in your college journey, but also realize that a lot of employers don’t give a damn about that piece of paper, really. It’s about the time investment you’ve made, and depending on the field (engineering, math, science, etc.), they want to see if you KNOW your shit.
    2
  44615. Does it have to be the same exact editions?
    2
  44616. I just found the Math Sorcerer. This guy is awesome.
    2
  44617. Dude, just how many books do you have on linear algebra and calculus in your shelf?! :D
    2
  44618. Damnit man I can’t buy all the math books!
    2
  44619. YOU ARE AWESOME MAN! This playlist (Advanced Calculus) has been so helpful I can’t even stress it enough! Legit am enjoying math right now wow! Have an exam in 3 (almost 2) days now, hope I can get through the entire playlist at least a day before the final
    2
  44620. thank you for letting us know !
    2
  44621. Love you sir.
    2
  44622. ❤️
    2
  44623. i got sorcereted
    2
  44624. Thank you so much sir,its a great explanation,I am from Guwahati(Assam) India,Kindly make some videos on Bays theorem
    2
  44625. BUT, you learned from that typo you spent a week on. You didn't learn it from being told 😋
    2
  44626. Very good message. Life is simple, if you let it be.
    2
  44627. Dude, the nails! clip the nails! for fux sakes! lol. but great video . I am trying to pick up where i left off since getting released from the public school penitentiary where you got the dumbest teachers on planet earth.
    2
  44628. My man didn't mention a single Saxon Math book 😭
    2
  44629. He never blinked.
    2
  44630. Since we are here, and you are into calculus, did you cover, or plan to cover, some math problems books, such as Polya and Szego?
    2
  44631. I'm hoping to see more outtakes hahaha
    2
  44632. 🪄🧙‍♂🧙‍♂SHADOW WIZARD MATHEMATICS GANG🧙‍♂🧙‍♂🪄😈😈👹👹👹WE LOOVE DOING OUR MATH HOMEWORK 📝📝📐📏📊📉💯💯AUUUGGGHHHHAA
    2
  44633. Thank you so much for these recommendations! I definitely want to get started in it, but do you have any advice on how much time we should be spending in doing these exercises? Especially for older students that have other commitments.
    2
  44634. Would you suggest picking a book and go at it from start to finish? Recently I just picked my high school algebra book (I've already finished my bachelor and have been working for about 3 years now, so I'm kind of old)
    2
  44635. Please give insights on topology. Books are full of ready made formulas without giving the ideas behind it's.
    2
  44636. Great video. So much truth here
    2
  44637. Thank you very much. Good video.
    2
  44638. Excellent video...but you missed books in Differential Geometry...thanks
    2
  44639. This is bang tidy!
    2
  44640. The quiet space advice is biased. I study best with loud music.
    2
  44641.  @TheMathSorcerer  Wow, that's helpful! I didn't know there is a search aggregator for used books! Thank you very mch for the tip! There's still no Spivak's Calculus for ten bucks anywhere though.
    2
  44642.  @TheMathSorcerer  I see that my problem is that I always want a hardcover in a good condition, preferably with photos of what I'm actually buying. Most stores don't even bother to post anything but a stock photo of a cover. And thank you for replying to my comments, this is very rare on YouTube these days.
    2
  44643. Interesting that this shows up in my feed after I made a 50 on my DE test. I worked my butt off for a fifty. So angry with the world right now.
    2
  44644. Nice Video ❤
    2
  44645. it’s same with every subjects just do the the damn problem and get good there is no tricks
    2
  44646. better than nothing - worth your time to read
    2
  44647. i dont need any more videos thank you so much for making this you literally saved my life
    2
  44648. First, let me thank you for putting together such a comprehensive, organized website. I'm putting my comment on this video because it's the last one you uploaded as of today, and I wanted to improve the chances of your reading it. I spent the better part of last week searching the internet for a site that would assist me in furthering my math education. After narrowing down the candidates to you, Professor Leonard, The Organic Chemistry Tutor (a slight misnomer), and MIT OCW, I have selected you to be my professor. Most sites were lacking in upper level math curriculum (Khan Academy, etc.) and the rest were unorganized to the extent I would need an advanced degree just to re-arrange the videos into a logical progression. Also, many sites apparently tried to cover a subject at a surface level. Even I know you can't learn Trigonometry with a half-dozen fifteen minute videos. Also, there are some sights that try to teach a subject in one insanely long video. Calculus learning in one 12 hour video is fruitless and would wear out my pause and reverse buttons. IOW, your site suits my needs perfectly. May you receive all the success you deserve. BTW, not having your site on the list of a "Best Math Education" search is a travesty of internet justice. Maybe you should look into hiring one of those internet promotion companies to improve your site traffic. On second thought, never mind ... they'd probably just screw it up. Thanks again ... really !!
    2
  44649. I thought you are gonna throw them in fire
    2
  44650. This is my favorite mathematics channel
    2
  44651. I can’t see numbers in my head to add it up! Sad I need a calculator. I love your Einstein look!
    2
  44652. That was my problem with chess books. They give plenty of examples of an opening, but they said little about what was happening. (:
    2
  44653. Funny stuff, but I think you should add some backrgound music like Flammable maths and Andrew dotsons skits.
    2
  44654. Is the math in computer scinece so hard? I mean the logic and proofs, becuase I am not that good at math and want to study computer science
    2
  44655.  @TheMathSorcerer  thank you for your help sir, how can I study for math like what is the way to study from a book because I tend to watch videos and it is not that good, could you give me a better way?
    2
  44656. The Math Sorcerer What is the name of the book sir? And is it possible to understandable for some one who has never studied it?
    2
  44657. Thanks
    2
  44658. Amazing, thank you for sharing .
    2
  44659. u just helped me with my final... thank u
    2
  44660. Do something abstract ideas about mathematical regular areas formula So we found that actually process which governed this magnitude of results🕉🕉 One of my calculator going to hang while others is doing well so it's meditation which cleared many mental complications and give some new ideas🕉🕉🕉
    2
  44661. Not gonna lie this gives me calculus 2 flashbacks
    2
  44662. You wouldn't think such a short video could pack in such a great message, but here we are. Thank you! 😊 maybe I need to bookmark this video for those times of failure (at least in math)
    2
  44663. Love that shirt
    2
  44664. I have been trying to find that book at the library.
    2
  44665. thanks sir i finally learned
    2
  44666. Such valuable advice. Really loved it !
    2
  44667. Thank you for sharing 🙂
    2
  44668. Math Sorcerer!!! I love your advice and your channel!! You and Hannah Fry are my FAVORITE YouTube math personalities!! Simply the best!! No disputing good taste!!! :) :) :) :)
    2
  44669. I miss half com so bad T.T I used to get so many old rare obscure books that helped me understand ideas and concepts my professors couldn't be bothered with or care for. Now I have to go through papa Bezos who definitely has access to math majors which extort enthusiast on prices.
    2
  44670. LMFAO what am I even watching???
    2
  44671. Thank you for this; twas the first source I could find that explained it without just throwing the form at you without a proper breakdown. I only wish that you could've also explained the terms dependent vs independent variables during the course of the video, but if I haven't misunderstood the terms so far, I think in this context x would be the independent variable and y would be the dependent?
    2
  44672. Believing you can do well is certainly important, but I'd argue it's moreso a trivial part to improving in math. You have to be tenacious. Nobody gets good at math overnight. You're likely not going to understand a more complicated theorem right off the bat. Many theorems are divided into several steps presented as lemmas and other smaller propositions. Some of these can be very technical. It gets worse. If you're new to some branch of math, many theorems may seem isolated and you might be asking yourself :"why tf am I doing this?" Tenacity helps overcome these obstacles. Of course, the implicit assumption in all of the above is that you are interested in working through said material. I would also add that you have to have belief in the subject. That it is worth pursuing. It gets easier as time goes on and different ideas you learn in math rewrite your basic runtimes, but convincing an undergrad, who is stricken by a spell of negative motivation, of this can be very difficult.
    2
  44673. Did you mean real analysis or calculus on manifolds by “ advanced calculus”. Calculus on manifolds is the hardest class at my college but it sounds like you might be talking about real analysis
    2
  44674. Thanks, I from "Elementary results in puré mathematics" of G.S Carr
    2
  44675. More videos like these please, plus would love to hear your experiences
    2
  44676. 'All you have to take' is calc 1, 2, 3 and differential equations to take complex analysis.... EEK!
    2
  44677. I know this is kinda weird but the Amazon link took me to the ninth edition published in 1996 instead of this one which is 1981. I hope ya don't mind this but I kinda preferred this one cause it literally has a cool cover page compared to the newer ones and I was really hoping that there are other links online that has the same exact book shown here hehe...
    2
  44678. Can Math be used in a Justice system? Suppose a gun robbery /drivethru Driver Passenger (holding gun) Tsupppy (backseat present but supplied vehicle) What Math is used to calculate Justice?
    2
  44679. Well let me put it this way...If you love math ,you are connecting to your soul and you change your perception of living..If you want to become rich ,you should better put up for a different option..Einstein never was rich but his thinking gave the world a different way to think...Serve the people by your own thinking and thinking differently and not just be another rich guy next door...at the end of the day if Mathematics gives you peace of mind go for it inspite all the hurdles in your life ,if it’s doesn’t give you that peace search something else that suits you..
    2
  44680. Thank you so much.
    2
  44681. Me watching this video after my graduation :-O
    2
  44682. Hello math Socerer can you review Proofs by Jay cummings?
    2
  44683. so you can cancel out 25/16 to only be left with I
    2
  44684. Thank you
    2
  44685. OMG thank you You explained so well 😁😁
    2
  44686. For me its just simplier to -8, and + (2x-8)^1/2 for me that's just operationally easier than freaking about a weird negative. I wonder if this is just PTSD I have from lower division studies, or if its just from crushing and conquroring so many of these, that you just read the problem in an easier setting. I've been reading "How to study as a Math Major" and this quick assumptive simplification can run into easy disaster, so revisiting these lower division is giving me insight on how to deconstruct problems, Also this keeps me humble, as an aspiring mathematics tutor. Maybe Professor of Mathematical Magicks like you someday XD
    2
  44687. Yes, it's hard but, man, it's also way fun!
    2
  44688. There is a difference between write down what you see and taking notes - when working with a book for my "notes" is more like a extension to my short-time memory - taking notes in class was more like writing down what I see but then I always redid the notes after the class. While preparing/learning I like to take notes by shortening the material I study down to a few pages - this always did the trick for me. Long time I tend to look stuff (I forgot) up in books/online instead of my notes but I guess I should have a look at "Zettelkasten" and other tools/techniques.
    2
  44689. Thank you so much for this clear explanation!
    2
  44690. Coffee, man! Coffee ☕️. 👍🏽
    2
  44691. A tall glass of chilled milk for myself.
    2
  44692. Hilarious! Man, it's great to see how far these videos have come.
    2
  44693. 10% penalty for late work?? but hw isn't part of the grade. 70% Exams, 30% Final.
    2
  44694. Great book, great channel. Thankyou Sorcerer.
    2
  44695. Can you do a video like this for Real analysis ??? Please I am finding wayyyyy hard :( (for my masters )
    2
  44696. Some light reading before bed i see.
    2
  44697. In all of my maths studies, I don't recall ever using 2 substitutions yet I am going back many years so I might be mistaken. if I am mistaken, it definitely isn't something that i encountered a lot or often
    2
  44698. If ever you come to the Uk you must tell us!
    2
  44699. And I will try... love this motivation..😍😍
    2
  44700. My reply to my reply:Something like Psycho(1960)?Yes,something like that.Those teachers didn't understand the so-called New Math back then.Was I confused because they were confused?Yes,that could be part of the explanation for your skeptical existential nihilism.Yes,and all that Noise that turns the human mind into a blob of mediocrity.Wondering if Set Theory is an unintelligible religious belief system?Go back to your prison cell in solitary confinement-with earplugs.
    2
  44701. - basic - practice - break down - embrace struggle - seek help - apply to the real world - study habit, a little bit everyday - persistance
    2
  44702. Thank you for these words!
    2
  44703. really helpful, thank you
    2
  44704. Thank you so much 💗
    2
  44705. Wait, is there a finish?
    2
  44706. Thank you!
    2
  44707. You teach in a way I really like, what were some of the factors that developed your teaching style into what it is? Edit: Asking for all my future students ;)
    2
  44708. really poignant timing with this video, as I dip my toes back into university after a semester off. Thank you as always, I look forward to consulting your videos for assistance in the near future :)
    2
  44709.  @TheMathSorcerer  ok
    2
  44710. I like the camera angles lol
    2
  44711. Hello, can u tell me or recommended me to math book for high school? Thanks
    2
  44712. Are cryptography jobs hard to get. would you need a PhD for the job or is a BS fine?
    2
  44713. The Math Sorcerer thanks, I appreciate that!
    2
  44714. How long would it take to learn all this
    2
  44715. I'm trying to prove this statement for metric spaces. Can you give me a hint?
    2
  44716. up for this!
    2
  44717. 1000s
    2
  44718. I'm in class 12 can I start with these books ?
    2
  44719. Ohh tentalising books on the self give me that my mind wanna chew em all slowly bit by bit taking slight tastes so that i can be at continuum ratio in showing that or ( giving proffs)😍😍 give me those books ohh i need it nooooooooooow
    2
  44720. Is it older than Mickey?
    2
  44721. Sir can you tell me how I understand group theory. I have lots of problem to understand the group theory
    2
  44722. Bro my math teacher is jacked
    2
  44723. Old videos rn is rlly helpful. Thank you!
    2
  44724. I am currently studying math in seventh semester with OK results. I LOVE this shit, at least some of it - I am, for some reason, a huge fan of quite abstract algebra topics without being interested in their real applications whatsoever. If it is applicated, I HATE it. Just to say that I am not the greatest expert, but also not some random guy who took the harder one of the two math classes at school. But if it is about learning how to think and to state thoughts clearly, I would argue this is an argumentation to do computer science. Its idea is just that - to think in algorithms. Maybe, math is also about understanding. It is very little mass to learn, but you have to actually understand it. When there is some lecture about history or internet or whatever, it will be a load of mainly simple information. When there is a math lecture, you will find yourself in the situation that theoretically, all in this lecture you have to remember in the exam is basically the fact: 0) This is a space with functions, remember? 1) This is, let us say, an affine variety 2) A variety is a space with functions (yes, this is a thing, it is a legit approach for varieties) with some open affine coverage But now, you have to actually understand what is going on. Good luck. I have been able to, I would argue.
    2
  44725. Thats 2 percent is me actually but i got 10 percent like that, i mean for real
    2
  44726. Beautiful
    2
  44727. Good selection of books. I really enjoyed studying from Apostol's Mathematical Analysis.
    2
  44728. The oldest extant programming language is Fortran, but I doubt anybody has initiated a new project in Fortran in about 10 years, at the least, more likely 20 years or so. The 2nd oldest extant language (1-2 years younger than Fortran) is Lisp, which is alive and well and really, really, really cool in it's Clojure implementation. Check out Clojure, you may enjoy programming again.
    2
  44729. goated
    2
  44730. Not sure about my high level skills that I had as a young man (engineering in college), but now in my 60's I do find my 'arithmetic' skills are much better today. Part of it is my wife is an abacus user and I've learned the techniques. It's really visual, you can keep mental picture of the beads in your head and move them around. As we load up the shopping cart I'm usually within 1% of the bill, (tax is the tricky part-not applying it but knowing what items are taxed or not). I sew and use my math skills to create my own patterns. I do agree though, if you don't use your skills they do diminish in both know how and speed. Good video, nothing new for me, but I think good for the people that want to rekindle their skills.
    2
  44731. I have the Alternate 4th Addition Calculus with Analytic Geometry by Larson & Hostetler. What do you do for Trigonometric integrals/derivatives, plane curves, parametric equations & polar coordinates, Green's, Stokes, Divergence? Do you cover those topics in another course?
    2
  44732. I needed this video to get me working harder
    2
  44733. Good.
    2
  44734. Thank you for the interview
    2
  44735. Ooo
    2
  44736. he looks like bezos hahahahha
    2
  44737. This is an awesome video. Thank you so much.
    2
  44738. Whi else is still trying to find out why they put a rat on a programming book?
    2
  44739. Go do some math.
    2
  44740. Thankyou sir! God bless you always.
    2
  44741. Thank you. It is a nice solution.
    2
  44742. I took discrete math 1 year ago. I didn't understand mathematical induction. This semester I am taking theoretical CS and mathematical induction is needed so I am learning it again. This is the first time I understood a proof by Mathematical inducton.
    2
  44743. My high school calculus book (1989)
    2
  44744. bruh i love you saw this in between my test
    2
  44745. It's another cool thing about used books. I love researching previous owners.
    2
  44746. I am an engineer and now at 37 decided to make a career change. Quit my manager job andI am self studying software engineering. Challenging but happy to be seeking for what makes me happy.
    2
  44747. second comment
    2
  44748. Thicc
    2
  44749. You make some good points but... "destined to be banal, mediocre and boring " is way too harsh & extreme an outlook in my opinion. I'm sure you are none of those things! Good luck to you 👍
    2
  44750.  @larryyonce  I mean its how most people end up no? Atleast by my fucked up standards and perception I guess. Maybe I've been in a bubble too long and haven't seen outside of it for a while.
    2
  44751. I like this video it helps me . I write a lot or every chance I get.
    2
  44752. Thanks 😊
    2
  44753. thank you for the explanation
    2
  44754. Hi Math sorcerer, in previous videos you mention the importance of having a reason or a "Why?" to studying mathematics. I love mathematics but would like to hear what YOUR reason is. Thanks
    2
  44755. that guys cool :)
    2
  44756. oh god lol!
    2
  44757. Excellent!
    2
  44758. He looks like he read way too many mathematical texts.
    2
  44759. Dang, this is coaching for life!
    2
  44760. This video saved my ass
    2
  44761. Thanks math sorcerer
    2
  44762. Thank you for this refresher! This was so helpful for my Feedback Systems class :)
    2
  44763. Love this. Thank you. ❤❤❤👍👍👍👍
    2
  44764. For a second I thought you were Jordan Peterson, you sound like him a lot. sERiously! are you his son?!
    2
  44765. Should i read the books in this order and from cover to cover?
    2
  44766. No. Sociology is nothing at the four-year level. It leads to nothing.
    2
  44767. Who puts address in a syllabus 😆
    2
  44768. Yeah, after I retired I decided to learn Math to enable perhaps a second career being a Math Teacher. I had done a lot of math as a technician but I really needed to formalize what I knew. And, yeah, I believe in a lot of books. No, not the cheap popular "Dummy Books" because they don't have enough exercises. You need the textbooks for the exercises. Yeah, I get the Student Solutions Manuals along with the Textbooks, but it is not as though the Student Solutions Manuals explain anything, and when they go through the problems it is often the case where you wonder how they get from one step to another, but while the Student Solutions Manuals aren't easy to use or friendly to use, I would rather have them then not. Then as far as Textbooks go, I found that Brooks/Cole and Cengage Learning Textbooks are reliable for their quality. I worked through one Developmental Math book, an Algebra Book, then a big fat Algebra and Trig book, and a book dedicated to just Trig. Colleges don't care about Geometry because everything is geared to Pre-Calculus but I loved the Geometry Textbook I got. Now for Calculus I got three different books: a Stewart, a Thomas, and a Larson. There are other authors but going through the Reviews it seemed like those three are a good cross section. What I found from my homeschooling is that I couldn't just keep moving forward. The basis for everything is Algebra, and so I found myself forgetting and stumbling in Algebra and so I would go back. Trig is also a basic skill and so I found it necessary to keep going back with that too.
    2
  44769. I guess I shouldn't have been that pessimistic. The last trick seemed helpful.
    2
  44770. Nice Video Sorcerer! Is it possible to review the book “Princeton Companion To Mathematics” plz
    2
  44771. if you could solve problems by reading books...🤭
    2
  44772. Thanks for the video I've always thought being a math teacher would be cool, (or master and topic and teach it for that matter) but the journey to get there is intimidating as math seems to get more difficult the further you progress. I believe this is why good math teachers are so valuable too because they are helping people with a topic that many students struggle with.
    2
  44773. i would say this engineering mechanics paper , or applied maths paper not pure maths
    2
  44774. I've struggled to learn math all my life so I clicked to call bullshit!!! But I'm hoping to be wrong 😎🤓
    2
  44775. calculus 7? how come i stopped at 4, this is not acceptable.
    2
  44776. thank you this was very helpful and to the point
    2
  44777. My name is Innocent Mtaro from Tanzania. As an African, I've looked up for notable African Mathematicians, or even scientists that have world recognition. I'm afraid my efforts were futile. There are just not any of them out there. Do you have any advice for me concerning where I can best draw inspiration for Maths ?
    2
  44778. Much appreciated professor!
    2
  44779. Not one geometry book in the stack! There is no math with out geometry.
    2
  44780. Happy new year
    2
  44781. You deserve more subscribers, but it proves the theorem " thou shalt fear math" 😊
    2
  44782. How many classes of engineering to cover this much EE? Probably about 15-20 engineering classes, with about 10 other supporting STEM classes.
    2
  44783. If there is any one phrase that inspired my interest in Math more than any other it is the phrase, "goes on forever". Math truly does "go on forever" as do many things we study in math.
    2
  44784. Next week I have an exam on some of those topics😂
    2
  44785. It is interesting to see how many topics you mention with the remark '' most people never see ''. Almost all of these subjects where compulsory in my time at the ETH in Zürich in the Sixties.
    2
  44786.  @TheMathSorcerer  With some context, that's actually a good question. How much of these things do you think I will need if I'm interested in discrete mathematics, graphs, combinatorial designs etc?
    2
  44787.  @TheMathSorcerer  Thanks! I have one question: I see the curriculum for the first years of Maths and Computer Science is very similar at my Uni. Do you think I'll miss out on much maths if I go for Computer Sc? Differential equations is one of the subjects that I won't be taking in that scenario.
    2
  44788. This reminds me heavily of Tao Te Ching and Lao Tzu.
    2
  44789. I usually do the math exercises online so I typically use the laptop
    2
  44790. i love this guy
    2
  44791. 🐐
    2
  44792. Great video
    2
  44793. Price is indicated as INR Rs 11 or USD 0.12!! Sold in Madras, now Chennai
    2
  44794. Video should be retitled Reasons not to study math that are also reasons to study math
    2
  44795. this is so accurate, i self studied in science, biology is really not my type though. i always think of physics because it's so good, i practiced it for months, i failed alot of times doing my science homeworks because i don't follow the formats and steps, and in our 3rd quarter exam, my teacher gaved us a powerpoint presentation reviewer about how to calculate speed and velocity, none of my classmates liked it but i'm glad i did learn it in advance, and turns out i got good grades !
    2
  44796. Thanks for your help.
    2
  44797. How about reading carefully a math book with pencil and paper, and also using a good scientific calculator and/or an appropriate computer algebra system?
    2
  44798. This wizard is slowly recongregating the New Pythagoreans
    2
  44799. "HIGHER ALGEBRA" is not the same as Abstract Algebra is it?
    2
  44800. I'm struggling with topology can you suggest any good book to begin with for beginners?
    2
  44801.  @alexandertownsend3291  thanks a lot !! will check it out
    2
  44802. 1) Apprentice 2) Fellowcraft 3) Master
    2
  44803. You're talking about measure theory, aren't you? You still have nightmares about it, don't you? I'm going through something similar... there are some bad things that have happened in our mathematical lives that we'll never forget for as long as we're alive. Sigh.
    2
  44804. Sound advice
    2
  44805. Extra Thicc !!!
    2
  44806. another tip, be kind to yourself and don't beat yourself if you couldn't complete all of the tasks for that day, you're only human. also speak positively to yourself :)
    2
  44807.  @TheMathSorcerer  wow, I didnt expect spanish :0 Im from Lima, la capital, I just discovered this channel few days ago and Im lovin' it, keep up the good work!!!
    2
  44808. Thank you
    2
  44809. Am I right to say that we can also use L'Hôpital's rule?
    2
  44810. So what you said in the vid, in my words, lol I really should learn to watch the vid before commenting. Bad habit.
    2
  44811. Thank you
    2
  44812. Thanks so much for vids like these! I'm in highschool now & I'm preparing for Maths Olympiad can you give me some tips to be good in maths as I've already watched most of your vids & I've learned alot!
    2
  44813. Elitist is not a good word - as an aerospace engineering student, you can certainly get the feeling in some of the upper level math classes that you feel left out of a certain "club", but the reality is that the math students have so much more math to learn that they simply don't have time to slow down and review the quadratic formula in the middle of class. It's the same reason we have aerospace-exclusive classes; we can't afford to stop the entire class to teach a math student the lift equation because we have so much more advanced topics to learn. On a side note, authors have no right to start skipping steps that involve topics covered in just the previous chapter in elementary math textbooks. Professors race through those textbooks at the race of a section per class, and oftentimes two days isn't enough for a student to understand a topic that was just covered two days ago, on top of other homeworks. Oftentimes I would find myself completely lost while trying to follow an example due to a "trivial simplification" only to realize that the only example of that topic being offered was in a chapter 50 pages back.
    2
  44814. I am a Spanish speaker but you have helped me a lot. You just had a subscriber.
    2
  44815. Thanks
    2
  44816. Hey sorce I was wondering if I could learn abstract algebra and calculus as a freshman in high school
    2
  44817.  @TheMathSorcerer  Thanks I'm learning from Serge Lang's books on calculus and also I'm learning abstract algebra from Hungerford's book
    2
  44818. This man should catch up Elon Musk in 2 weeks.
    2
  44819. As you begin to see how math permeates all aspects of science and philosophy, you'll go from being a mechanical problem solver to an explorer in knowledge. It is a truly incredible journey. See you out there!
    2
  44820. Thanks man keeep up the good work
    2
  44821. Great video, I am still looking for the best complex variables book. This one is quite expensive.
    2
  44822. I’ve kept all my undergrad/grad math books. I wrote my notes in them. Never accumulated others.
    2
  44823. Muchas gracias excelente video. Thanks so much! Danke!
    2
  44824. Very helpful
    2
  44825. I was thinking the other day about what it would be like to just have one giant tome you could learn everything in from start to finish
    2
  44826. Do you like the Princeton mathematics companion by timothy gowers?
    2
  44827. absolute lifesaver, thanks man
    2
  44828. Does this book cover modules, lattices, fields, vector spaces? If not, why not? Tensors calculus is part of what mathematics branch? Linear algebra?
    2
  44829. nice collection....priceless
    2
  44830. thank you!!
    2
  44831. This is what I needed.
    2
  44832. Ha ha in China people think nothing of reading and understanding text written thousands of years ago. Here you are, getting all excited about reading something from the late 1800s.
    2
  44833. Is it better a book or a online course sitting wiht my notebook and pencil? I am doing your Calc 1 course from Udemy, i wonder if should buy text books too?
    2
  44834. I never memorized the quotient rule, funnily enough. I found that using the product rule + the chain rule is way less error prone, since the order doesn't matter in the product rule.
    2
  44835. I had that book, or more exact, I borrowed that book from my daddy's library. It was an assigned textbook when he went to college. I studied from it on my own the summer before taking high school Algebra II/Trig.
    2
  44836. Thanks
    2
  44837. I am scared so afraid to show my care, so I think diamonds are great and really understand what you mean or are doing. Thank you.
    2
  44838. another book of mystery....nice
    2
  44839. Thank you
    2
  44840. these are a nice refresher mate ~ appreciated
    2
  44841. Thank you so much🙏🏻🙏🏻🙏🏻🥰
    2
  44842. Thank you so much sir for those words, cannot appreciate enough for them.
    2
  44843. made me cringe like a true karen does lol
    2
  44844. Obrigada!
    2
  44845. Very helpful advice for students
    2
  44846. Electronics Eng is easy. So many people learn it while doing something in a job or in their freetime
    2
  44847.  @TheMathSorcerer  thanks for always having a positive take on things I'm sure many need it. 🙂
    2
  44848.  @TheMathSorcerer  thanks, you are too kind. Lockdowns gave me the opportunity to spend all-day everyday just practicing my math concepts. It should make me a much better engineer and I'll be able to contribute so much more to the world. Being an engineer, I didn't understand differences b/w math subjects nearly as well as a mathematician would and I would be running around directionless if it wasn't for your book reviews. Also, your videos really motivate me and push me to self-reflect with honesty. So from the core of my heart, thanks 😊
    2
  44849.  @sukd2669  nah mate, what sort of an idiot would be mad at such positive energy? But then again, its the internet .... so i get it 😅 Have a nice one 👍
    2
  44850. Thank you!
    2
  44851. I wanna learn programming but they that I should be good at math and I since childhood and I hate math but I will try and give it a shot so here iam . Thank you for the lesson and if there's any advices I'd be happy .
    2
  44852. Dude, I'm currently the 2% :( . This is the third time I take calculus 1 and I just dont get anything at all......I'm joining the army lol
    2
  44853. Are you going to make a linear algebra udemy course anytime soon?
    2
  44854. I didn't search for this!
    2
  44855. From start to finish. Does math ever >finish<? Does it have an end?
    2
  44856. Did computer engineering , now Im in love with Math.
    2
  44857. Math is Hard but math is Love
    2
  44858. For me, it’s 1) because math is fun. Everything is a puzzle game and it’s so damn satisfying when I get the question correct 2)because I’m insecure. I can’t help but to do the question again in a different way to make sure I get the same answer. I need to check. Usually my first attempt just isn’t good enough for me unless the path is limited 3) because math is all about arguing with myself in my mind and usually it’s an argument with a satisfying conclusion. Everything is connected and if I forget a formula, there is a chance for me to figure it out on my own. I cannot let go of that opportunity if it’s there! 4) because when my teacher did it, he knew so many cool shortcuts and I was always jealous how he was able to see all that. Eventually, I was able to see some shortcuts on my own and that felt great. Therefore, I gonna continue look for faster ways to do other questions. It makes me FEEL smarter at the very least 5) because I worked my ass off. The ultimate truth is, I didn’t learn so fast. I would even argue that I’m actually a really slow learner. It’s just that within the same amount of time my classmates were taking math courses, I think I put in a lot more effort because of my disadvantage. I could be stubborn and I could hit a stupid wall. I just didn’t want to give up because Math is the ONLY thing I’m not that bad at. Math is language of logic. It’s not about memorizing patterns. If you see a mesmerizing pattern, it deserves observation and we should ask ourselves, “why does it do that!?”
    2
  44859. Thank you so much, sir; you're an angel.
    2
  44860. This dude looks so much like Jeff Bezos
    2
  44861. Break the Balance! ^^
    2
  44862. Does she though?
    2
  44863. Since you're such a big fan of Lang's, I thought I'd mention that he wrote a book for the General audience: The Beauty of doing Mathematics, 1985; in this small book, the chapters are: What does a Mathematician do and Why? Prime Numbers; A Lively Activity: To do Mathematics; Diophantine Equations; Great problems of geometry and Space. Lang wrote another book for Undergraduates: Math Talks for Undergraduates, 1999. Some of the topics: Approximation Theorems of Analysis; Bruhat-Tits Spaces; Harmonic and Symmetric Polynomials; The abc Conjecture... Lang indicates in the Preface that "I am now presenting a collection of talks for undergraduates as a book. Such talks could be given by faculty, but even better, they may be given by students in seminars run by the students themselves. Such talks have been given at Yale, for instance." I have both books in e-format. He certainly was a lively communicator of mathematics.
    2
  44864. Thank for your advices
    2
  44865. Lmao I said that in one video
    2
  44866. I was doing casual reading in highschool with my manuals but now in college i need to put time and effort to understand and be engaged in the practice.
    2
  44867. very good, thanks!
    2
  44868.  @TheMathSorcerer  thx a lot :)
    2
  44869. Awesome stuff, Dr. Prof. MS!!! Thank you for enlightening us math nuts!!! :) :) :) :)
    2
  44870. Thank you so much for this video! I recently completed a psychology degree, I started a masters in Human Resources which I want to complete but I also plan on getting a bachelors in computer science and I am very excited as it includes a lot of math. This pumped me up!
    2
  44871. Ahh yes. Jeff Bezos with hair.
    2
  44872. Sir, do you use instagram?
    2
  44873.  @TheMathSorcerer  I’ll follow you !
    2
  44874. Never 'too old' for anything. Anything! !
    2
  44875. Thanks
    2
  44876. Thank you for this. 😊
    2
  44877. Thank you
    2
  44878. You’ve never disliked a math book (sad trombone)
    2
  44879. Real engineers use pens, but not in series.
    2
  44880. Uncanny. I was watching one of your videos the other day and thought “hey this guy looks kind of like Jeff Bezos”.
    2
  44881. 1st comment
    2
  44882. Thank you
    2
  44883. 2 books you missed!! Number The Language of Science Tobias Dantzig Essentials of mathematics Russell V. Person
    2
  44884. i recently restartedath studies post stroke, and these books are a huge help! 😉😆😎
    2
  44885. Who told math is not funny?
    2
  44886. 3:15 I think you need to take a break from the math!
    2
  44887. I love math
    2
  44888. Hello World. I learned C from this book many, many years ago.
    2
  44889. what a life saver!!
    2
  44890. I had the same experience but for combinatorics instead logarithms. The difference is that I still struggle with combinatorics today. 😅
    2
  44891. That's Discrete Math in a nutshell
    2
  44892. Like this comment as a petition to get Math sorcerer to write an official calculus textbook
    2
  44893. I'm not from America, so these books are quite expensive, welp I'll start saving
    2
  44894. 0:33 math is hard and you cannot give up 👍👍
    2
  44895. Thank you frnd
    2
  44896. It was beat into me as a child that I was probably too (insert intellectual insult here) and just needed to worry about passing by my teachers in grade school. What these adults never told me was that I was ADHD and would have to work extra hard on understanding things but that it was absolutely doable. Had to do it all on my own, diagnosis and all in my late 20s. Just passed calc 1 and 2 with an A and A- respectfully. Someone just needed to tell that damn kid to try and he would have. Be mindful of where you raise your kids.
    2
  44897. I came here to see your bird
    2
  44898. Thank you sir 🙏
    2
  44899. first!
    2
  44900. No wonder they left it in the book. I've don't that on some exams I know I got completely wrecked on and never wanted to see the grade. Sheeeeesh what a relic! Like they were at least in their 20's at least in 1976 too. Idk just wild, thanks for sharing
    2
  44901. We need many books to learn about mathematics. Ramanujan needs one book. I am very sad. How will I learn mathematics? The Math Sorcerer: you can buy it for $9 to $10 Me: Go to the website and returned from it to see only the video to feel the book cover 😊😊😍😍. $ to INR : 😐😶🤐
    2
  44902.  @TheMathSorcerer  Thank you
    2
  44903. You've got a cute birdy ❤
    2
  44904. Excelente amigo.
    2
  44905. The password change and Adobe Flash player examples were the most relatable thing.
    2
  44906. I find my understanding of math doesn't cement until a year after I learned it. So, self study helps me grow after the classes are over.
    2
  44907. Could you review: Complex Variables - Harmonic and Analytic functions by Francis J. Flanigan. It first covers Calculus in the plane and harmonic analysis in detail before it gets into the usual complex numbers then analytic functions and complex differentiation. I've surveyed many complex analysis textbooks including ahlfors and this seems to be the best imo; the explanations are extensive and very intuitive and there's a lot of examples and exercises in comparison to most textbooks on the subject. This is the book that has been working for me for self-study, as someone who didn't study a mathematics degree but a computer science degree and is switching fields out of a change in interest.
    2
  44908. Definetly saving this for someday
    2
  44909. HAHAHA great acting!
    2
  44910. Practice!!??
    2
  44911. x has to be a whole number. x=340.2 results in a domain error. x=340 works fine.
    2
  44912. great advise - keep those videos coming
    2
  44913. Nice work thanks ❤❤❤❤
    2
  44914. Count 5,4,3,2,1 and get to work🎉
    2
  44915. I wish I’d had access to this 50 years ago.
    2
  44916. With how awful I am at maths, I wouldn't mind this happening.
    2
  44917. What is functional analysis? complex analysis? real analysis?
    2
  44918. alien languages.
    2
  44919. Hello, I'm new to your channel, I'm from Bolivia and I found you with some math videos and I would like to tell you that they are interesting but since I don't speak English well and I'm using a translator, would you recommend some math books to practice my reasoning? I'm 16 years and I am in the trigonometry part but I would like to complement some previous subjects.
    2
  44920. Sweet
    2
  44921. They typo point is so relatable. Iam from India and is right now studying math for government exams. Quantitative aptitude is necessary for prelims of the exam . Here even the top books specifically for exam preparation have errors in their answer. Hence its tough to prepare. I do think it's intentional having errors in the answer keys to reduce competition or something along this line
    2
  44922. Please suggest a good real analysis book for absolute beginners. Thank you.
    2
  44923. Thank you for sharing super cool Books with me!
    2
  44924. [s]={x|(s,x) element R} ={x|sRx}. It's the same definition of relation
    2
  44925. plot twist, im procrastinating by watching this video lol
    2
  44926. We don’t make mistakes, we make happy accidents!
    2
  44927. It has been helpful, thank you!
    2
  44928. I have to ‘C’ this video!
    2
  44929. thank you sir it is very helpful
    2
  44930. Excellent book
    2
  44931. Jesust this guy XD.
    2
  44932. Very helpful sir
    2
  44933. Very helpful advice sir. I sometimes burn out, when I do my school homework. I really don’t like that homework. But when I am learning something new, I can go for a long time without burning out...
    2
  44934. Has anyone ever accused you of being the Joe Biden of the math book collection world?
    2
  44935. thank you , i was realy struggling before i saw this video
    2
  44936. I’ve got the algebra trig book Love it
    2
  44937. Wish ive seen this before turning in my hw on this section
    2
  44938. Breaking complex problems into simple forms.. thats first person principle that Elon Musk also talks about I like it makes sense it works.
    2
  44939.  @TheMathSorcerer  thank you for encouragement, I work all the day every day to do that.
    2
  44940. Great video. I hate physics for the same reasons you said. Feeling left out of understanding. But my perspective changed with this video and the knowledge you shared. I am willing to put in the work to learn physics, now. Thank you.
    2
  44941. Thanks, you!
    2
  44942. Calc III has been rough, and this helps
    2
  44943. I love it when videos on YouTube bridge the gap between what seems distant and what you want to know about it so you can figure out things and not be clueless
    2
  44944. This video scared the hell out of me , thanks lol.
    2
  44945. Very very nice. A beautiful personal experience. Congrats
    2
  44946. Need a video how to find math friends xD xD
    2
  44947. Very helpful prof
    2
  44948. Thank you
    2
  44949.  @TheMathSorcerer  lmao saving my exam while surfing, u legend!!!
    2
  44950. Very good video thanks 👍👍😌😌
    2
  44951. great video 🙂🙂
    2
  44952. Nice video, will you do an analysis master video hehe
    2
  44953. I guess this might be great handbook for game developers ( the low level developers).
    2
  44954. You’re a life saver!!
    2
  44955. Greetings Dear Warlock of Maths, I am a Computer Science Student who has completed Calc 1-3 , DE , Linear and Discrete 1&2 and Stats 1&2.However, I have not taken a math class in 3 years. I would like to “relearn” these classes/concept before advancing to subjects in CS that require a strong foundation in math. Any advice on how to start or complete this goal ?
    2
  44956. Finally got.
    2
  44957. Calc 2.
    2
  44958. thanks！❤❤❤
    2
  44959. but i wanted to watch the new video!
    2
  44960. Don't worry, take this ε > 0.
    2
  44961.  @TheMathSorcerer  Nice!
    2
  44962. Second
    2
  44963. Merry Christmas ❤
    2
  44964. Unfortunately, his books made me feel like I didn't understand mathematics. The only book that felt readable was his complex analysis book.
    2
  44965. I love this 😎
    2
  44966. do it i love to see read a book
    2
  44967. 👀
    2
  44968. Really helpful
    2
  44969. Jeff bezos with hair.
    2
  44970. Oh!!!... The college
    2
  44971. Obscure Math :DD
    2
  44972. You are iconic
    2
  44973. He is my teacher, and really good
    2
  44974. How about Zorich Mathematical Analysis?
    2
  44975. Thanks captain !
    2
  44976. Amazing
    2
  44977. Doc. you spoke my mind, what could be a better message than this to begin learning, Wish you a prosperous and contended year ahead, let there be no end to learning.
    2
  44978. This is how humanitarian subjects work
    2
  44979. When I told my psychiatrist my dream of being Messiah, he tried to have me institutionalized 🤣🤣🤣 Just kidding, I don't have a psychiatrist 🤣🤣🤣
    2
  44980. Well, I do not have such lazzie fair'e teacher during either in school or college days. Sir, can I join your class now?
    2
  44981. Sir please take my question! My question is that i want to study maths but from where should i start? PLEASE RESPOND!!!
    2
  44982. Exactly what I needed! Thank you sir! (btw, what's the name of the theorem?)
    2
  44983. The beard looks really good on you, please grow it out or atleast keep it!
    2
  44984. I enjoy reading math books, but I get hopelessly stuck on the problems which is really demotivating
    2
  44985. So much thanks It helped me a lot Easy concept and easy to understand without using stp
    2
  44986. This but unironically.
    2
  44987. Thank you
    2
  44988. Thanks so much for these amazing videos!!!
    2
  44989. Why aren't there any rules shown for integration or derivatives for natural log, exponentials, or log with other bases?
    2
  44990. Nevermind, I scrolled wayyy down on the playlist and found that the ln, log, and exponential d/dx and integral problems are at the latter end of the video list. My apologies!
    2
  44991. good advices, those pentel pens are really amazing as well, it doesnt need to be this fancy one :)
    2
  44992. Please make a video on perseverance. I really need some serious advice for it.
    2
  44993. thanks!
    2
  44994. you moved Spivak's book. Thank you for the information.
    2
  44995. Yes it's time consuming
    2
  44996. What about the student a long time ago??? this cliffhanger is insane
    2
  44997. Self study doesn't only teach you to be good at the Math in front of you but you acquire principles from the struggles, progress made and difficulties you overcome. It teaches you how to be enduring, rigorous and how to get to the root of things(a valuable problem-solving skill). These principles will be applied to other areas of your life and career. Over time, mathematical thinking will help you go very far in that field by always breaking down problems into their core fundamentals. They will wonder how you did it but won't realize it was because you took Math seriously. Learning Math for the love of it has actually turned you into a deep thinker. :)
    2
  44998. That's the most cursed way of holding a marker I've seen in my entire life. Well done! On a serious note; is that comfortable?
    2
  44999. Brian May approves of your hair!
    2
  45000. After learning that I am 55, you did not judge me. I thank you.
    2
  45001. haha nice one! 3:25 where is y :) ?
    2
  45002. Thanks so much for this video!!!!! I myself am one of the most self learner...but the problem with that is being recognized for your skills and not your degree!!! But that should never stop us from growing!!!
    2
  45003. You should do a review on: How to prove it A Structured Approach, by D. Velleman. One of the best books for learning how to do proofs! Much better then this one IMO...
    2
  45004. me watching this while procrastinating LOL just kidding (somewhat hehe). All around great content, sir! Thanks a lot (=
    2
  45005. Good very helpful
    2
  45006. Such a mood
    2
  45007. U look like jeff bezos with long hair
    2
  45008. This made me get my Hmk wrong lol
    2
  45009. I see you getting out there in the forest once in a while. I just feel better in environments like that myself. Of course, I'm assuming that isn't a green screen. Why not bring some plants into your home and work environment? It helps me to stay relaxed. If you're at a location with insufficient sunlight, you can always use some low wattage "Led grow lights" on timers to give the plants the light they need. Plus, in your case, it could be another opportunity for affiliate links for hydroponics, lights, planters, etc. It's all very easy to setup and could help both you and your viewers.
    2
  45010. Thanks alot bro
    2
  45011. I HAVE JUST BOUGHT THEM
    2
  45012. Thanks so much for this ❤
    2
  45013. You'd be shocked how far you can get in life just knowing PowerShell and prompting.
    2
  45014. Lmao do you still play this game??? Hope we can play together!!!
    2
  45015.  @TheMathSorcerer  that's because ur good at maths lol🤣🤣🤣
    2
  45016. Thanks Bruh I really appreciate the hard truth that is so obscure now a days
    2
  45017. Can you make a review on any mathematical optimization and linear programming books you have in your library if you got any?
    2
  45018.  @TheMathSorcerer  thanks! Looking forward to that)
    2
  45019. thank you for your help
    2
  45020. Pls make one video on recommendations for references to transion to abstract maths...
    2
  45021. Me relearning middle/high school algebra thinking about getting a math degree "hmmmmmmmm"
    2
  45022. Thanks, man. I really needed that
    2
  45023. Love your channel, just subscribed and cheers for the replies. Try watching Dave Allen ' teaching you children to tell time' it's very funny and highlights how numbers can be confusing. It's on YouTube.
    2
  45024. I took an exam a few minutes ago.This was my exam question , exactly the same . Online exams are very intresting :) Thanks for this video. I will pass the lesson at the end, thanks to you sir :) ..
    2
  45025. just purchased "sets, sequences, and mappings" before watching this video but after it was made without knowing the Math Sorcerer had reviewed it. IFF <=> any of you who would like: (1) an older style text (it's a dover reprint) (2) have some math-book without the answers (old-school) that's cheap and easy enough that you can say to yourself "I worked through a math book without looking at the answers" (3) an introductory book that explains terminology pretty well, and I do mean pretty well (4) a somewhat mild intro analysis book that will, by the end, have you working proofs in basic metric spaces now the book seem fairly mild as an analysis intro to me. I say get it, (it is cheap), and if it's a little bit past your present level, look through it, as a goal to reach, for it is a pretty good intro to advanced calculus (analysis). I believe it's accessible to anyone who has just finished a few semesters of calculus. It starts out walking you through the Real number system. You can preview the contents and some of Chapter 1 to see if it's your cup of tea A good undergraduate library has books, you've done, books you can do, and books you can't do, but want to reach, and understand one day. growing confidence through step by step mastery is addictive
    2
  45026. Think I still have my copy....
    2
  45027. Thank you
    2
  45028. I run 1-2 miles in the morning and 1-2 miles at night. I also meditate and do light calisthenics in the morning and night.
    2
  45029. Better than Zill?
    2
  45030. Another informative video.
    2
  45031. I think you and us in the comments have quite different ideas of what a "solution" is. Personally I dont care if there is a detailed proof in the back of the book for each exercise. All I want is the end answer for the problems that aren't proofs. For example if the question is "Evaluate definite the triple integral: *insert triple integral *", and the answer is 3pi. I would like 3pi to be included as the answer to the problem in the back of the book. I don't see why this would be a problem. Teachers can demand that their students show their work, and people who self study can check if they understood how the problem should be solved without having to cross their fingers and hope they got it right. And I would think that the people creating the exercises go through and solve them to make sure they have solutions. At this point it seams like publishers just want to save on paper expenses or sell the answers separately.
    2
  45032. Thank you!
    2
  45033. I always found that the problem with people that were 'better than me' is that they didn't have problems with the stuff that confused me. So it was great that it was no problem for them but that simply made me feel more hopeless - that I was just not up to scratch. There's a meme about Einstein having problems with maths when he was young and I think that it's popular because of the way it gives people hope for themselves - even if it's not particularly true. The issue is how to deal with failure to understand and the way that feeling makes people want to never pick up a maths book again.
    2
  45034. Please make a book review on" The Hitchhiker's guide to calculus".
    2
  45035. awesome
    2
  45036. This was helpful..
    2
  45037. I had bult my own bookshelves ages ago. I used just jigsaw, hammer and nails on timber.
    2
  45038. Great work sir. Thanks a lot
    2
  45039.  @TheMathSorcerer  I have started learning linear algebra from a book named Linear Algebra Done right! Can you help me by telling the review of this book or any other supplementary material?
    2
  45040. Thankss, love your vidss
    2
  45041. Does having a staff help with math?
    2
  45042. Nice explanation. Very clear.
    2
  45043. I was hoping you'd make this video. Thank you!!
    2
  45044. Thank you. Which program do you use to draw?
    2
  45045. This is calculus AB?
    2
  45046. wowwww crack
    2
  45047. Nerd patina
    2
  45048. I prefer that Π with the index beginning at 1... it's a lot easier to deal with. Less math needed...
    2
  45049. English is compartively easy: no gendered nouns, no formal/familiar forms of address, etc. It can be spoken with a fairly strong foreign accent and still be intelligble. Non-native English speakers often use the pattern of their Mother Tongue sentence structure when speaking English, and accent different syllables than standard English, but they still get their point across. Some phonetic structures are difficult: "Douglas" becomes "Dougras", for example, but one doesn't need a 'decoder ring' to figure it out because there is a pattern to their speech.
    2
  45050. You are not too old. Look up the story of Dr. Manfred Steiner. Dr. Steiner earned his Ph.D. in physics from Brown University at age 89.
    2
  45051. Many thanks for this good video.
    2
  45052. Hai everyone I am from Indonesia I love math because this is so beautiful nice to meet you
    2
  45053. was getting cooked by this all day and finally learned in a 3 minute yt video
    2
  45054. great video!
    2
  45055. I used to have it with me, before my third year in university. Now I really need to try to get it back..
    2
  45056. Thanks!
    2
  45057. Thanks for this, man. I love your videos and definitely do get bogged down. Time to dust off my Gallian and head to the park!
    2
  45058. Thank you so much 😊. Watching this video while walking 🚶‍♀️ really helped to to do self studying 📑 in basic mathematics 🧮 and then move on up to more intermediate and advanced math which I flunked as a child in grade school 🏫.
    2
  45059. I think your thoughts are well stated. I wish more people would be as independent and non-polarized as you.
    2
  45060. THXXXXX :))))
    2
  45061. @The Math Sorcerer, I would like to know if you got a platform where I can follow you for more tips and solving, especially in graduate math. thanks in advance.
    2
  45062. 0:19 damn this describes my teachers
    2
  45063. I love how the channel name is sorcerer..but it's the photo of Gandalf the wizard🤣
    2
  45064. This is so gd accurate it hurts
    2
  45065. Thank you sir😊
    2
  45066. I just discovered your channel and I love it. Keep going! Congrats from Brazil.
    2
  45067. The only thing I can connect is his curve blond hair and the integration sign.
    2
  45068. can a 12th std student use it i want to prac for my jee exam
    2
  45069. Thank
    2
  45070. Do you think if we were patient in the early stages of learning a subject and if we spend great amount of time on trying to understand the fundamental concepts that will lead to a speed up in the later stages? So the total time spend gets balanced somehow!! Or that is not necessarily true?
    2
  45071.  @TheMathSorcerer  good points. thank you for your reply 🙏🏻🙏🏻🙏🏻
    2
  45072. 1:35 , I felt that :D Vectors aren't parallel, but ... Lost it at Calculus 7 :D
    2
  45073. I just took a statistics class and I hated it I feel like it shouldn't be allowed to be considered math and it should be a sub genre of political science. I actually learned that the word statistics is derived from the Latin root word status, which means government. After learning that midway through the class I didn't feel as bad for almost failing the second exam. There were more definitions in that stat class than my bio class. Sorry everyone I just had to rant for a sec I love all of you. <3
    2
  45074. I just found out that I'm not the only one struggling with this.. It really encourages me. Thank you comment section.
    2
  45075. PLEASE DO MAC TOURNAMENT QUESTIONS PLEASE - like a livestream vod of u speedrunning
    2
  45076. fun lecture! I took calc III in the spring semester and was just looking to brush up on triple integrals for fun.
    2
  45077. Thanks bro.
    2
  45078. When I used to live in Mexico (we kinda copy Europe), the last two semesters of Preparatory (would be High School) were going to be differential and integral calculus. The first three semesters were all about algebra and trigonometry. The forth was going to be Analytical Geometry. Then I moved to the US to finish High School here and I was surprised that I didn't need to study physics I, physics II, chemistry I, chemistry II, analytical geometry, and deferential and integral calculus (when you're a foreign student, they just worry that you can pass the SAT and little more). I kinda wish I had moved after finishing Preparatory in Mexico, to see if I could skip the waste of time that US High School was and go directly to college. On the other hand, the High School ESL program actually helped me a lot and having to go through basic Algebra all the way to college Algebra multiple times had made my foundation very strong, and that actually helped a lot in college.
    2
  45079. When we arrived at the trigonometry pages, I could smell them too.
    2
  45080. sirr, please can you make tips for me for how method do you do to learn math alone only using book 🙏
    2
  45081. Thank you
    2
  45082. Thanks Professor, this video is great!
    2
  45083. First view
    2
  45084. lucky those who can simply double major if they are interested in 2 different areas :( (I'm not saying is easy haha)
    2
  45085. In my Calc classes we never worked with cosh and sinh so I wasn’t sure how to do it at first but that integral wasn’t bad at all.
    2
  45086. Amazing video! Are you planning to do a video on Functional Analysis by Rudin? (aka Grandpa Rudin) Assuming you have it, that is. I'm interested in getting into functional analysis and would love to hear your take on this book!
    2
  45087. Thank you.
    2
  45088. Great job! It is exactly what I was looking for. Thanks for sharing.
    2
  45089. Thanks sorcerer
    2
  45090. You should glue a miniature math book in the sorcerer's hand or, maybe, a protractor, calculator, pencil, etc.
    2
  45091. Could you do a few more videos on this in a bit of depth, just find it really interesting. Thanks for the video !
    2
  45092. I’m good at math but it’s just with some concepts it takes me longer to understand and forces me to use the calculator. My least favorite math is word problems with statistics but I gotten better at it
    2
  45093. That's why I solve those problems to get that thrill. And when I couldn't do it I remember that I need to learn more.
    2
  45094. Wow! Look at your Study Table. Advanced Math must get rough at times. What are those? Bullet holes!? Problems dig in their claws and they have to dragged out. Then the tool marks from compass, protractor and HAMMER. Next time I go to Home Depot I'll have to check out their Mathematics Section.
    2
  45095. Yep, Amazon prime numbers is a central topic of number theory
    2
  45096. 🖤🖤🖤
    2
  45097. You saved a life
    2
  45098. Thank you!
    2
  45099. Roger that
    2
  45100. props to Aaron - he's on it!!
    2
  45101. You have nice talks. elmursi math with you
    2
  45102. Sir, Thank you for this structured guidance for learning mathematics.
    2
  45103. i wanna take maths as my major but idk what other subject should i study along with it which could give me more job oppurtunities, i am not good at anything in particular
    2
  45104. We use Basic Abstract Algebra by PB Bhattacharya in India.....and it is an amzing book to start with.
    2
  45105. i wish ,if i have all these books ;(
    2
  45106. Nice video 10/10
    2
  45107. AGREEDDDDDDDDDDD
    2
  45108. found your videos this year. I’ve commented before and said this. I’m not doing A+ in the class. But I just wanted to say, I appreciate all of your “dumbing down” on the problems. You take it step by step, and do not skip the “simple stuff that you should already know” 👈🏻what my professor does. But yeh man, I just appreciate your time and helping us that ain’t that good @ math understand this! You’re the best! Wish you well 💯❣️
    2
  45109. Sir I m lecturer of math in Pakistan exist in south Asia .I find big trouble during lecture .what real application of limit and continuity .derivative .integration and every topic like quadratic equation.? Can I plz solve my problem which book I must read about my problem
    2
  45110. Thanks for the update 😊
    2
  45111. I love you bro currently taking math 55 at cal
    2
  45112. very helpful ty!
    2
  45113. U can overkill this by using equality case of Cauchy Schwartz
    2
  45114. Tnx sir😍
    2
  45115. This is actually a great video. I can do something with this.
    2
  45116. without watching the video I already know its calc 2
    2
  45117. Great video! I can really relate to this. What really helped me in graph theory are the non-empty graphs. They gave me an edge and boosted my confidence.
    2
  45118. idk man, if the allure of the book (being a maths one) is encouraging you to want to just smell unworn printed pages... I'd think that's a pretty strong indication of attachment, lol. Makes me think of "my precious"
    2
  45119. Hey How do I start mathematics from extreme basics to Higher Level I am in 8th Grade and I am interested in Mathematics as It always pushes my brain to think more. Pls help me by answering this question sir.
    2
  45120. Introduction to linear algebra by serge lang is easy to read. Please do the review of that book
    2
  45121. How did I ended up here?
    2
  45122. Gracias <3 , andaba bien atorada en un problemas muy similar
    2
  45123. Seems like a very good textbook to be recommended. A huge like. I was not even aware of this book!
    2
  45124. Math Sorcerer, do you own or have you read "The Princeton Companion to Mathematics"? If so, it would be interesting if you did a review on it, I cannot find any on YouTube.
    2
  45125. 'The graphical approach to algebra and trigonometry' is there any alternative for this book?
    2
  45126. Thanks for answering my question. Love your content ❤️.
    2
  45127. Is it start to finish Meaning maths finish Or me Because i can clearly see me finishing before this
    2
  45128. One more big danger is having the impression that you got everything right and having no one to show you that, in fact, you got it wrong.
    2
  45129. Thank you
    2
  45130. My father has the second edition, still with the dust jacket.
    2
  45131. Yup self study is awesome and fun i learnt calculus own my own calculus 2 but hey I asked my professor some small doubts i had but it was so lit but by the time school reopened the only problem I was way ahead of the class and was almost completely bored in math class
    2
  45132. For infinity which is greater number
    2
  45133. Cool.
    2
  45134. you earned my sub for this
    2
  45135. thanks alot Sir
    2
  45136. Thankyou
    2
  45137. Tq sir
    2
  45138. I don’t know what is more impressive, your talk or the book collection behind you. You should make more videos on your book collection.
    2
  45139. Great vids thanks ... Do where is calc 2 course .. take care .and don't go outside,,
    2
  45140. 2:00 I like how you talked about how raindrops don't kill you when they fall from the sky and one day after this video was uploaded veritasium released a video that touches on that subject. Here's the video at a relevant time stamp: https://youtu.be/16Ci_2bN_zc?t=489
    2
  45141. 😂😂 You are the best!
    2
  45142. Nash on the windows!
    2
  45143. Spivak for a few dollars?
    2
  45144. Lol those poor windows 😂
    2
  45145. Very nice Video, straight to the points
    2
  45146. Math Sorcerer, here is The Mother Of All Brilliant Ideas For Your Viewers. 1) Go to Wikipedia > Mathematic, and click on Fields of Mathematics. 2) Print out that section, read it, and marvel at how much clarity it's already brought. 3) Work toward buying at least one new or used Dover text for each of the subcategories. 4) Arrange the books on your shelf in the same order as the Fields of Mathematics section. You now have a magnificent mathematics library, at very low cost, that is coherently organized. Trust me, even just staring at the titles organized by Space, Structure, Change, etc., will accelerate your getting your mind around such a vast area of human thought. And you, Math Sorcerer, can help viewers pick out the best minimal library by recommending the best single Dover books. This is what I've done, and now my math library is one of my favorite things in my life. It's so much fun to just sit with a cup of coffee, randomly pick a text, and get lost in the joys of mathematics. ...
    2
  45147. I actually had a professor say the textbook wasn't really needed and the homework was not really worth doing. But he said it was because the textbook didn't really have what he considered test level questions so we should get some of his past quizzes and tests he posted online to do if we wanted problems to help prepare.
    2
  45148. :elbowcough::elbowcough::elbowcough::elbowcough:
    2
  45149. A good comprehendable ODE book I would say is "Ordinary Differential Equations" by Morris Tenenbaum and Harry Pollard -- they go into the nuts and bolts of it in my opinion
    2
  45150. Ive seen your channel since i was 16, and your content is amazing, the most fascinating part of this video is your spanish pronuntiation, Id like to see you talking spanish, your content i amazing, Greetings from Peru!!!!!!!!!!!!!!!!!!!!
    2
  45151. Thank you teacher beacause of you my homework was really easy ty!
    2
  45152. You have to take 15 courses to sort of cover that book. That book just scratches the surface what’s behind EE today!
    2
  45153. I still prefer my HP RPN calculators.
    2
  45154. Calculus two by far. At least for me, the disk and shell method were the hardest things in the class, but the series was next on the list, AST was my favorite test for some reason.
    2
  45155. Very true ❤
    2
  45156. thank you
    2
  45157. Loool
    2
  45158. I have asked a question in absurdly thick book video of yours Could pls relply to it
    2
  45159. I found a hidden gem
    2
  45160. Gonna go grab some blueberry pie now... :)
    2
  45161. Very helpful. Thank you.
    2
  45162. I wish i flund your channel in school before i dropped out😂I'm starting grade 11 this year and im speed running your recommended middle school book. I really, really wish i found your channel in high school, you make it interesting and even fun. Thsnk you sir, for your advice, tips and mind.
    2
  45163. I love this video, thank you. Anyone know if there's a similar video for physics?
    2
  45164. Thank you so much
    2
  45165. bruh, i read this proof today, what are the chances
    2
  45166. QED?!
    2
  45167. All hail the mayan statue for it has saved my grade and my sanity
    2
  45168. I'm only here for the bird
    2
  45169. Hey man, how are you? I've been away for a while, but I'd like to hear your thoughts on Nathan Jacobson's two Algebra books, both published by Dover. Thanks!
    2
  45170.  @TheMathSorcerer  Let me explain what I'me looking for. This semester, I'm taking a course of ODE on Math Institue. This professor is giving a master class, showing us how beatiful is the subject and their relations with linear algebra, complex analisys and differential geometry. Man, I've never knew that we could have exponentiations of matrix or that exist isomorphic spaces and other beatifuls conected concepts. Until this course, the things were separeted with minimum or none conections. Unfortunatly, althoug I'm loving the course, really fantastic approuch, he is using at least four books to each lecture. So, I need be better in algebra to acconplish some gaps that I have. PS: I bought both books of Nathan Jacobson, just U$ 35.00.
    2
  45171.  @TheMathSorcerer  In high school, matrices were a boring and stupid concept, with nothing interesting. I am now learning binary diagrams and how matrices are multipurpose. I finally learned what a determinant is and the consequences of being null. Why the teachers never told It before?
    2
  45172. Thanks sir
    2
  45173. I have a similar book - Mary boas mathematical methods. Used that like it was a bible. That being said just did a quick search and it seems it is retailing at £193. Did not cost that much when I was at Warwick.
    2
  45174. Hey bro love you....... ❤
    2
  45175. I can see William Murdoch using this book
    2
  45176. Very well organised proof. Love it!
    2
  45177. I have friends that are diabetic. They also use continuous glucose monitors, (CGM). They report that when they do a lot of heavy reading their CGM records lower blood sugar levels. I assume the same is happening to you when you are doing a lot of math ? Thank you for the video.
    2
  45178. Students :But professor we have another 5 exams on that day. Professor : Well who cares math is real science others are not.
    2
  45179. Thanks a lot
    2
  45180. You have three books titled 'linear algebra'. I like collecting books on the subject, too, but couldn't you have picked more specific titles in that subject?
    2
  45181. I definitely needed this video at 36 I went back to school a little bit ago, and next class is calculus and as an Emt right now during COVID, I really did need this video thanks man, and depending on how that goes i might add a math minor to my degree, keep on doing the amazing videos.. For the record never thought i would say this, but I LOVE MATH.
    2
  45182. Your accent is fucking great my dude, might be the most intelligible english I've heard. I mean, english is not my mother tongue and it's so easy to understand you. Anyway, thanks a lot for this channel. It helps a lot in many ways.
    2
  45183. Definetely true. And it seems that time is short. After the whole day studying linear algebra i realized i just coved very little. I dont go further if i dont understand it. It takes time watching explanation , exercises , asking why s , etc. and in the end you need more time because there is still something unclear that i need to review. Time is short. 👨‍🏫
    2
  45184. Colab with organic chemistry tutor
    2
  45185. Wow,, i love books which is free. Anyhow , i i have the calc. Book written by serge lang, will read it together. Thankyou the maths sorcerer,♾️♾️♾️♾️
    2
  45186. Funny how the level 4 books are basically all „raw”. Simple covers, beautiful bindings. No need to call attention to it, for its difficulty level alone can’t be soften by the shinny covers. Raw! 😂
    2
  45187. Thank you
    2
  45188. who do you main in league?
    2
  45189. Just Subscribed to this channel, because the creator reads almost every comment and hits like button.
    2
  45190. You look like Jeff Bezos apart that you are more fair in complexion.
    2
  45191. Awesome channel
    2
  45192. Interesting, thank you.
    2
  45193. I have already graduated.......should i read the book?
    2
  45194. Thanks, for posting!
    2
  45195. Which is better for a computer science student to study: Calculus or Analysis? Please; Make for us some videos about continuous mathematics (calculus and linear algebra) for computer science and the book we can use..
    2
  45196. Good one. Easy to remember. These kinds of problems are a gap in my knowledge I’m filling at the moment. Was having misgivings about the differentiating trig functions topic without knowing this stuff thoroughly. I’m a self-study person.
    2
  45197. Sir, you are a genius!! Intellectually- gifted by God with Mathematics and logical efficiency 😊 I fervently admire your quintessential teachings and knowledge. You may find it quite stupid; but I would reveal it to you:- I perceive your videos as the most soothing and comforting during times of depression I find a sense of positivity after exploring your channel as I too possess a pleathora of interest and good command over this subject. Felt like sharing sir ❤ Thank you! 😊
    2
  45198.  @TheMathSorcerer  I gotta say I like stats. There's no stats undergrad degree so I'm still clawing my way to a bachelors in math. This class, though. It's really making me question everything (and it's only part 1!). To be fair (and my husband reminds me of this every term) I get really bad math-panics at least once per term and convince myself I'm not smart enough to make it through and then it all works out in the end. Your post caught me on a rough day. I left a two-decades long career and am just getting my undergrad in my 40s so some of this stuff takes a loooooong time to sink in. It's pretty frustrating at times and I have to really be mindful of not comparing myself to kids in their 20s who have the drive and passion I had when I was their age. It's a process.
    2
  45199. thank you math sorcerer
    2
  45200. I guess I have started a collection of Dover math books, as well. I like the cover art and the books are reasonably priced, especially used copies. I have "Introduction to Graph Theory", "Mathematics for the Non-Mathematician", "Taxicab Geometry", "Introduction to Linear Algebra", and "An Elementary Introduction to the Theory of Probability". I haven't worked through any of them... When I was done with my math sequence in college, I looked through the catalog and saw all this other math that I never heard of and I've been fascinated since then. Hopefully I can work through, and make sense of, some of the books I have! Not sure if or how I'd apply any of the knowledge; I would be learning for learning's sake.
    2
  45201. Thank you for this video!
    2
  45202. Sir can make videos related to proof of formulas in calculus and trigonometry.
    2
  45203. Ironic
    2
  45204. Math sorcerer god can you post more videos of you just solving 1 problem at a time like integration from a beginners perspective and not just a season professional thank you
    2
  45205. Hi Sir, What are the prerequisites to learn discrete maths ? Thanks !
    2
  45206.  @TheMathSorcerer  I love this, great thanks :)
    2
  45207. "Piss, how do you achieve inner piss?"
    2
  45208. great advice.. in the Uk we call it Maths.. it always sounds strange without the s. Do you call Physics Physic ?
    2
  45209. I'm not a "real" engineer, but a software engineer; even I always have the pen...
    2
  45210. Great words 🙂
    2
  45211. Awesome.
    2
  45212. Thank you so much :3
    2
  45213. Oh, I wish Jeff Bezos taught me maths...
    2
  45214. Very very good
    2
  45215. Does capital 'N' have to be a positive integer? I'm using Analysis: with introduction to proof by Lay, and he writes that a sequence converges provided that for each epsilon > 0, there exists a real number 'N' such that for any natural number 'n', n > N implies that | s_n - s | < epsilon.
    2
  45216. ​ @TheMathSorcerer  Thank you! I've seen 'N' defined as a positive integer more often (Rudin, Pugh, Krantz), so I'll probably stick with that. And actually, I looked at a newer edition of Lay's Analysis (I was using the 4th, and I looked at the 5th), and the definition was changed so that 'N' is also defined as a positive integer.
    2
  45217. When the mad king turns out to be a genius
    2
  45218. Not him
    2
  45219. I wish I could get these books for free
    2
  45220. this was pretty good thanks :)
    2
  45221. great topic . thank you so much
    2
  45222. Thank you for this video!
    2
  45223. WORD TEXT STYLE for equations..... NOOOOO!!!!!!!!!!!
    2
  45224. Thanks , a much needed video. For me currently.
    2
  45225. How about Serge Lang's linear algebra?
    2
  45226. Blast "Tubthumping" by Chumbawamba!
    2
  45227. Noice
    2
  45228. Because of my major I have to take discrete math along with normal engineering math (calc 1-3 and dif equations) and discrete math is making me sad :(
    2
  45229.  @TheMathSorcerer  I will look at it, thanks!
    2
  45230. Thank you
    2
  45231. Actually really helpful . I was starting to doubt myself in relation to this next upcoming semester. Thanks a lot dude <3
    2
  45232. Thanks ❤️
    2
  45233. What a library! 📚
    2
  45234. Reminds me my high school years when we used to solve all of these, which was interesting but too abstract for kids. I think teachers must explain how apply knowledge in practice.
    2
  45235. It's time to learn Spanish!
    2
  45236. Light Hold is the proper pronunciation.
    2
  45237. Very nice
    2
  45238. I don't know if you'll read this comment. Do whatever you can but NEVER THINK OF SUICIDE ! If those thoughts ever come again, just think of your wife and daughter and think about them. I struggled with suicidal thoughts in my teens as well and the only thing that stopped me from doing this stupid act was my love for my parents. So please don't give up.
    2
  45239. Henri Cartan wrote a book on calculus of one or several complex variables. It's a Dover book.
    2
  45240. Let Q be the group of rationals under addition. Then show that any finitely generated subgroup of Q is cyclic.
    2
  45241. I got this book , like 20 years ago, anticipating graduate work in mathematics, but I kept taking undergraduate math courses instead.
    2
  45242. Quick and easy proof.
    2
  45243. I only did basic logarithms and maybe so didn't find it too difficult. Currently I am struggling with Special Functions in Linear Algebra, Legendre and Bessel Functions have me beat.
    2
  45244. This is the most awaited video no make on this topic because I learn the whole concept and solve numericals but after some time I forget those
    2
  45245. Great video, just a tip: you made reference that your not dumb you have reasonable intelligence. Im just thinking of people who have low intelligence and how they may interpret your comments. Maybe you can guide them with a small comment here and there so you provide for all. Im just giving this tip to make your videos even better bcoz you are so helpful and nice. Your advice is like gold so please dont be offended. but i noticed an area of improvement. Thanks, keep them coming sir.
    2
  45246. I always try to get 100% anyway but I sometimes find it puts so much pressure on me that I just avoid studying. Rare but it happens, usually if it's for something I don't enjoy.
    2
  45247. If this book was first published in 1942, according to the copyright law, the copyright has expired and the book is now in the public domain. You should scan the book and make it available for everybody, so that the book is not lost. Also, you should send a scan of the book to Project Gutenberg for them to publish it on their website.
    2
  45248. math :D
    2
  45249. thank you this was helpful
    2
  45250. I do agree with you! An explanation could be: if you believe in yourself, you push your brain to find the right way to comprehend the subject. It happened that to nail some topic I had to change my mindset a lot of times and I could do that only because I believe in myself and I kinda knew that tha right mindset for approaching the topic was floating somewhere in the air and I just needed to catch it! So I searched for it till i found it and I KNEW it was there.
    2
  45251. Also it happened that it took months for understanding some topic, but I didn't care! In the end I got it. Sometimes people observe that they're taking too much time and they give up, but that's the wrong mood
    2
  45252. How do you afford so many textbooks. I can only afford a few here and there.
    2
  45253. Why learn mathematics?
    2
  45254. Does it matter if the teacher writing the recommendation is not well known ? ... as in ... not a famous teacher internationally ?
    2
  45255. Second!!
    2
  45256. I really need some tips to stay focused.I don't drink cofee,I just really don't like it.
    2
  45257. Thanx man i was kinda lost every time i see this example but now its clear
    2
  45258. Your voice is really soothing, I don't know why but it really is haha.
    2
  45259. I am so fast, after 45 years I haven't got to the end of my Calculus text yet.
    2
  45260. 😂😂😂🔥
    2
  45261. What is the difference between version 1,2 Both are same?
    2
  45262. Absolutely fantastic! Thanks
    2
  45263. Cool!
    2
  45264.  @TheMathSorcerer  your job is amazing, keep going!
    2
  45265. The derivative of a constant is 0. Wow. Prouda mah selph.
    2
  45266. Lol, I actually do find some talks organized by IAS Princeton funny.
    2
  45267. I like how we had to go through your yard and garden to know that you were solving this Diff. EQ upstairs!!!
    2
  45268. Any thoughts on J. J. Rotman's book?
    2
  45269. im so excited to be able to learn about real analysis lol
    2
  45270. I was gonna close my math book and go outside until I saw this video and did my math. Thank you
    2
  45271. Omg this is too funny 🤣🤣🤣🤣
    2
  45272. And they excpect us to take notes
    2
  45273. At 2:41, did you actually recommend listening to Hip Hop?? Come on man.
    2
  45274. Thanks a lot
    2
  45275. Just imagine you are smart and can understand it. It works for me.
    2
  45276. For me, I think its really important to only do a few exercises of those exercises that are extremely similar (for example: if you have a set of like 20 exercises of integration by parts, only do a few cause doing them all wont help you understand them more)
    2
  45277. Great video!
    2
  45278. Why we are adding +1?
    2
  45279. "Yes Webwork is the best website to do all of you math homework" -- p.s. i love working on book problems where I can see the answers in the back so I can at least discern where I might have gone wrong? instead of halphazardly guessing.
    2
  45280. Quick question: yt or udemy?
    2
  45281. Why would you want to study maths just to become a teacher?
    2
  45282. Thank you sir for you letting us knowing this legendary book
    2
  45283. Something about all your videos makes me want to be better at math.
    2
  45284. This is so true. When I was taking differential equations I crams all of my chapter 2 homework into one weekend with no breaks, just math and I felt exhausted. Take breaks, it is very important. Good luck!
    2
  45285. Love from Bangladesh ❤
    2
  45286. Thank you, Professor and Happy New Year to you and your family.
    2
  45287. Finally I was looking for somewhere to start
    2
  45288. That's a great idea
    2
  45289. In Soviet times, Russian studients would have been using their slide rules instead of calculators. I have few Soviet slide rules and I sometimes use them. On plus side, they don't need batteries.
    2
  45290. Taking bc next year😐
    2
  45291.  @TheMathSorcerer  mostly everyone who is studying a science related subject :)
    2
  45292. Thank you very much
    2
  45293. I think certain things just CLICK for people immediately. Something abstract, connections in their brain, are already there.
    2
  45294. I love your book reviews! So interesting (and inspiring) :) I'd like to see your collection of number theory books. That'd be awesome!! Keep going and best regards from Germany :p
    2
  45295. thanks!
    2
  45296. I applied to 12 schools last Fall. Only got two waitlists, which ended being rejections. I think my downfall was my statement of purpose (and of course not having any “safety schools”). I’m still butt hurt about it. But just wanted to mention that SOP’s do matter! At least what I’ve heard from several faculty who were in graduate committee at a top school.
    2
  45297. Thank you so much
    2
  45298. I worked while studying math and yeah, it is insane.
    2
  45299. Go all the way and shave your hair off.
    2
  45300. You are kind, helping people not blindly but within the limits of your ability to help them
    2
  45301. I always wondered if people actually study in that informal and leisure way...now I know! I'll totally give a try :) Also, thanks for that book recommendation, "All the Mathematics You Missed (But Need to Know for Graduate School)". A real gem!
    2
  45302. Yooooo, lofi hip-hop is my shizz :) Thumbs up from me!
    2
  45303. Love these types of videos
    2
  45304. thanks!
    2
  45305. awesome book! I didn't know the existence of that book. Based on the contents pages, I saw many topics statistical physics.
    2
  45306. Take the classes on this book other time sir
    2
  45307. thank you so much. my professor gave us this homework but never went over it in class
    2
  45308. I AM
    2
  45309. Plz cover books for maths olympiads
    2
  45310. You should read AOPS books.
    2
  45311. Thanks! Clear, precise, straight to the point, does what it says in the title. A perfect video, I think
    2
  45312. Classic reverse psychology
    2
  45313. just what i needed..thank you thank you
    2
  45314. yes i most certainly do love his "dudeness"
    2
  45315. Wonderful question brining out the important basics of calculus. I had a question, it's not related to the video though. If f(0)=0 is given, then what can we say about f'(0)=? Is f'(0) a constant or something?
    2
  45316. You cannot say anything about f'(0), f'(0) may not even exist. And if you suppose it exists, its value can be any real number.
    2
  45317. 2:30 i like the natural tone in this vid, keep up
    2
  45318. The great versatility and uniqueness in mathematics and generally all sciences are a depiction of the great minds that created them. It therefore seems rational that by respecting them you respect their work, their life, their misfortunes, their successes and their failures; thus aspiring to follow in their footsteps and one day achieving just as much. It is inspiring to think of what people could accomplish through science and it is only fair that their intelligence and life are immortalized in it, just like in the case of artists and their work, because science is a form of art and it should be treated as such.
    2
  45319. You should check out the book "No Bullshit Guide to Math and Physics" by Ivan Savov. The author claims that the book effectively covers mechanics, precalculus and calculus.
    2
  45320. Good
    2
  45321. Thank you for your wisdom Sorcerer
    2
  45322. Reminds me of Quantum Mechanics ❤️❤️ thanks!
    2
  45323. Best one I’ve seen so far. Thank you good Sir.
    2
  45324. Im so grateful,I stumbled upon your channel!! 😍😍😍
    2
  45325. I don't even study maths in college and I /still/ felt that
    2
  45326. i really wanna have a shelf like that
    2
  45327. I bought a big poster and stuck it to my bedroom wall so I randomly see it and study it as I'm doing other things.
    2
  45328. 2:30-2:45 this is facts 😂😂😂
    2
  45329. 😄 😄 😅 OMG, THE calculus torture book ❕ i am having flashbacks 😅 😅 tore up those last formulas pages when i sold mine back (apologies to whomever bought it)
    2
  45330. You can watch youtube videos when preparing for an exam and don't have enough time. But if you have time i would suggest to think and understand the concepts on your own and this would take a lot if time but it's worth the work. Self study is the best study.
    2
  45331. ojalá puedas hacer este video en tu canal de español
    2
  45332. I see the math sorcerer flip flop in your bookshelf! :)
    2
  45333. The Math Sorcerer great video btw!!!
    2
  45334. Thanks for the video. I'm doing self study on new language and on the design of the old 8-bit microprocessors. I find studying both subjects to be relaxing.
    2
  45335. Can you plzz refer me a book on understanding graphs(full concept) in which all types of graphs equations are explained and also how to make graphs on the relations between two quantities in a physics formulas? Plzz
    2
  45336. Thanks
    2
  45337. Please make a video on maths for machine learning/data science
    2
  45338. 😆😆😆😆😆
    2
  45339. thank you very much, your words of knowledge and advice are really helpful :)
    2
  45340. XD
    2
  45341. You have great videos, you encourage me to keep on learning maths everyday. Thanks for your valuable videos, greatings from argentina
    2
  45342. Ty ☺️
    2
  45343. Now, I am viewing books on linear algebra before ordering copies online. Great review.
    2
  45344. Ah, yes you need, bumbumbumbum: LUCK. Not to mention that he was psychopatic, maniac. He would be better of by reeducating himself to plumber, but I'm not in the position do dictate anyone live experience. Fuck. "God", please don't let me die in poverty.
    2
  45345. The joys of discussing one to one and onto functions.
    2
  45346. :)
    2
  45347. Good video
    2
  45348. I’m Greek so I’m not as fluent in English. Would I be able to understand maths if I purchased these books in English?
    2
  45349. Math Sorcerer is actually reincarnated Erdos 🎉 travelling the world with math ! Let me loose amongst the books ! Sad vid 😪 to make.
    2
  45350. You look like some serious mathematician from the medieval times like Newton ,are you a Brit?
    2
  45351. Sir I really appreciate your works and please make more videos in this contend. I couldn’t wait to see them really soon.
    2
  45352. I love these longer videos!
    2
  45353. What's best approach to learning math? books or lectures? Be it online or physical lectures..
    2
  45354.  @TheMathSorcerer  oh ok. Yeah specialy physical books than pdf ones but better than having no book at all
    2
  45355. Mathematician = Philosopher with a better pay rate 🤪💖🔥🌹
    2
  45356. I absolutely love this book!
    2
  45357. Let's just face it, some people are smarter, just like some people are more good looking, athletic etc.
    2
  45358.  @TheMathSorcerer  thank you
    2
  45359. 7:17 "I am not gonna sniff this book" 7:46 *sniff*
    2
  45360. Math seems to Work Out (currently Reading works Well), Reading comprehension Very much correlates with vocabulary. You Need a representation in your Mind that causes a Reflection of what you read, a vocabulary representation is probably one way how to get a represantation of knowledge that is triggering memory and recreates the neural Connections, hence, you recreate the ability to Form memory representation by Reading and studying. 🙂 Will make New Videos for my channel, probably with math, 1-3 months from now
    2
  45361. Thank you for this powerful reminder.
    2
  45362. Thanks sir 😊😊
    2
  45363. I disagree. I believe combinatorics is harder.
    2
  45364. Wow looks like a great book. Seems to be pretty hard to find, or impossible...
    2
  45365. 💀 why is this me after getting 99 on maths haahahshshsgsysbsbw
    2
  45366. Thank you so much!!!
    2
  45367. Why
    2
  45368. My dad studied “conic sections”. I have no idea why.
    2
  45369. I have the pdf. So very cool. i read a little everyday
    2
  45370. I was surprised at the information mentioned (start at 3:39.) I always thought the students must finish Calculus 1, 2, and 3 before taking differential-equations class.
    2
  45371. thank you so much!! very helpful :)
    2
  45372. Yeah If you have money you can pick any book and try it right?😔 Math is so fascinating.
    2
  45373. failure is my boss
    2
  45374. So darn quick
    2
  45375. MS, are any of your videos specifically on the subject of speed and working through problems quickly and efficiently? I may have missed them in the past. (YouTube closed my channels)
    2
  45376.  @TheMathSorcerer  Efficiency, speed and using test-time effectively will make a great video.
    2
  45377. I love this I've been searching for a video like this for a while
    2
  45378. Thank you
    2
  45379. I love your advice videos, thanks for the inspiration. It is complicated when my university is barely face to face, but I keep enjoying mathematics and learning new concepts
    2
  45380. You don’t even have ONE topology book, no measure theory, not anything beyond 4th semester of a Math degree.
    2
  45381. I am about to be a TEFL English Tutor, but the hours are typically only at the crack of dawn (4-8 maybe) so I was thinking about tutoring math in the daytime. This video was a great help so thanks
    2
  45382. However, almost every link you provided is 100+ right now lol. not sure if that is because of Covid
    2
  45383.  @TheMathSorcerer  Thanks that is a great tip!!
    2
  45384. Use Newton raphson to find the root
    2
  45385. Maybe he was going to have a barbecue.
    2
  45386. 1. Sleep 2. Eat 3. Nap - Goals achieved! 👍
    2
  45387. wait i have this as a first year and it sucks, i do not recommend the book(at least not as a beginner to linear algebra...)
    2
  45388. I find Algebra to be useful and math is useful but in the K-12 system of education in America students are often not presented with the practical applications of the math that is studied in school. That was my experience when I was in school. They just presented us with problems that just had letters, numbers, and formulas. I think math should always remain in school eventhough math was hard for me in school I still belive that math still should be required in K-12 schools in America.
    2
  45389. wow!
    2
  45390. About music. The tip of instrumental music is a very good one. You can find any pace of music, fast or slow, to suit your needs in Classical and jazz styles. But some of them can also be as distracting as music with lyrics. You can find some music created for video games. It meant to be repetitive without being boring. Movies soundtrack is also awesome to listen while studying. Regarding distractions, I don't know why, I can only perform if there is something distracting me. A classroom, Library setting is a killer to my studying mojo!
    2
  45391. Colleague of mine ( UK ) use the phrase " bite the bullet"
    2
  45392. There is one book called The Idea Factory by Job Gertner. It is the about the history of Bell Labs. I think you will live it prof.
    2
  45393. I've never done logarithms nor do I ever think I will. Phenomenal❤
    2
  45394. Yes. Patience is key!
    2
  45395. How is Introduction to analysis by Mattuck? & An introduction to analysis by Wade. I would be interested in if those are good to read as well even if they aren't in your top 10.
    2
  45396. Thanku so much. This actually helped
    2
  45397. Thank you sir!
    2
  45398. I'm pretty sure after a certain amount of hours you reach dimishing returns on learning. Arent there studies that say people can only really focus for like 4-5 hours a day. Learning is a process that takes time, as in days, not hours.
    2
  45399. You always know what to say. Thank you!🙏🏼
    2
  45400. I recommend for those who are studying calculus 1 or 2 to plot the graphics after doing some exercise, it’s nice to look and see if you did the exercise right by looking the graphics
    2
  45401. Great video! Vert clear and concise. Thank you very much :)
    2
  45402. I love the camera chasing him back and forth lol
    2
  45403. Thanks!
    2
  45404. Not a math expert here, but I did studied business and finances. This is my advice: start with pre-calculus or any introductory calculus book and from that point select those math branches that you will most likely use on your professional/personal life. In my case, I regret studying stuff that I never ever applied like imaginary numbers, geometry, trigonometry and not studying enough statistics.
    2
  45405. Ooooooh
    2
  45406. I was needing this. Thank you.
    2
  45407. I started objecting Jacobsen renaming his book Basic Algebra when one of my College Algebra students came to office hours with the library's copy. "Professor Wilson, why doesn't this look like anything we're doing in class? "
    2
  45408. And................ the sorcerer does magic !
    2
  45409. Thanks for sharing this. Not related to the video but, I'm currently trying to brushing up some of my math knowledge from university. Do you have any book recommendation for exercising? I would deeply appreciate it. Thanks in advance.
    2
  45410. 'Never give up' - absolutely essential. I find mathematics problems tend to nag until they're sorted out! (And if you're a student thinking about after-student life, note that employers might like that sort of attitude, too).
    2
  45411. shortest math video i've ever seen))))
    2
  45412. So shorthand cis(angle) means cos(angle) + isin(angle). Gotcha.
    2
  45413. thank you bro
    2
  45414. u are my hero❤
    2
  45415. In your opinion what is the overall best book for calculus 1?
    2
  45416.  @TheMathSorcerer  thank you i appreciate it. I'll look into it
    2
  45417. The last statement about the realization of how much more you need to learn / can learn as you progress can be expressed in regard to many different disciplines.
    2
  45418. Does this book have an English Version?
    2
  45419. i cant understand anything from my brand new book i want that old one.
    2
  45420. The trick to working through the hard times is having a really solid reason for learning whatever you're exposed to. I'm a college dropout with little or no chance of ever working in tech. I study math near-religiously, because I have ideas that I won't be able to put to the test any other way. I've learned so much, and it's because I have a reason. I'm working towards something extremely specific and measurable, and I can't get there without pde's, integral transforms, complex analysis, distributional calculus, asymptotic analysis, and good old fashioned grit, persistence, and love. When I feel like I can't go on, I take a break. But I always come back to it because it's important to me. I'll never get a job with it, or write a game changing paper, or end up with a PhD in computational maths. And it's fine, because that's not my goal anyway. My goal is to see how it all works. Math can be a very spiritual thing: our universe is coded in the language of mathematics. If you're sticking through your classes to get that degree, push on, you've got this! But please, at some point, slow down just a little bit to appreciate how incredibly beautiful the ideas you're being exposed to really are. Because really, math is a very beautiful subject. Thanks for the encouraging video!
    2
  45421. Brother please try to make a video gs Carr book ( A Synopsis on Elementary Results in Pure and Applied Mathematics)🙏🙏❤️❤️
    2
  45422. Fountain pen!! I love fountain pens, used one to rewrite my class notes. Sadly, most of my work requires a ball-point pen due to surface quality.
    2
  45423. Thanks i have understood
    2
  45424. I'm a Physicist by profession and I learned a lot of math during my studies, but at that time I saw math only as a tool for Physics. I started to appreciate math on its own right and beauty only perhaps 10 years after I got my PhD. And I can't really tell why that happened. Maybe I just got mature enough. Reading the books by Harro Heuser might have helped.
    2
  45425. nice very nice
    2
  45426. Thanks for listening to my request.....i am very grateful to you math sorcerer
    2
  45427. Thanks a lot for that sir.
    2
  45428. Have you read this book on logic: A Profile of Mathematical Logic (Dover Books on Mathematics)? It was assigned reading during my second year as an undergraduate.
    2
  45429. Youre a great guide in the world of mathematics I just started a math degree after odd Jobs and no idea of numbers i am the most lost person in the class and your stories fascinate and inspire me, my first language isnt also english It would be a dream having you as teacher. Please keep making videos, also i think im going to join your members club
    2
  45430.  @TheMathSorcerer  Spanish, im from Spain and you?
    2
  45431.  @TheMathSorcerer  olee viva Cuba que grande vivan los latinos hermanos un placer y muchas gracias por tus enseñanzas
    2
  45432. Thanks!
    2
  45433. Great Vid ! I bought tjhis book because of you a year ago !! (Unfortunately its asoftcover :(((() Great to see you do an example from this Book!! i also recently got my hands on abstract mathematics by bond & keane
    2
  45434. I still have my copies, all three of which are 2nd edition that I purchased in 1975 as a student at RPI.
    2
  45435. Thank you for this insightful video. As an Algebra student, I am struggling with Linear Programming. If I fail the homework assignment, I will take the Math Sorcerer's advice. I will just have to do extra practice problems.
    2
  45436. Bro are you on omegle discussing philosophy?
    2
  45437. keep going on this way! you are doing great! I'm from Mexico, I'm a UNAM student. :)
    2
  45438. I think you might like the book "Advanced Calculus OF MURDER" its a real book LOL, I found it while looking for used Advanced Calculus books.
    2
  45439. Why did he write "coördinate" and "coördination"?
    2
  45440. Because the o is stressed in coordinate? He is german.
    2
  45441. This hits close to home...
    2
  45442. tacking dif eq this semester, hoping to get my first a/a+ in a college math course to try and kickstart my minor!
    2
  45443. Right now, I kind of have to do... No try option for me... >_<
    2
  45444. Thanks, you just added fuel to the tank.
    2
  45445. Whoa.. Had no idea you weren't American born
    2
  45446. this guy looks like Isaac Newton, or is it?
    2
  45447. Wish I knew you back in my college days. I would surely be a math teacher today. By the way, I did work as a sub teacher in the NYC public schools for 8 years. Toughest job I ever had.
    2
  45448. yes...sqr rt property.....yet...I went straight thinking to negative exp....fraction...irrational pertaining to negative sqr root...sorta all over the place...lol
    2
  45449. Great video. Thanks
    2
  45450. the calculus by leithold for me
    2
  45451. I recently realized that the unit step function's laplace is really JUST e^(-cs), but we always multiply it by pur function, and L[u(t-1)*t^0] is e^(-cs)*1!/s
    2
  45452. You make complex topics simple through your masterful instruction!
    2
  45453. "I see" said the blind carpenter..... As he picked up his hammer 🔨 and saw 🪚👀
    2
  45454. nice information..thanks #mathtutorial
    2
  45455. The best time to study is now!
    2
  45456. Several volumes these days, eh? 🤔😏 When I had this book in college it was only one volume, and only the first two authors on the cover. 😁
    2
  45457. Thank you! Great explanation.
    2
  45458.  @richard6381  hahaaaa, exactly!
    2
  45459. thank you so much doing my homework right now
    2
  45460. 😆👏👏👏👏👏😆
    2
  45461. Thanks you
    2
  45462. where is geometry?
    2
  45463. In a CS program, rn and optimization is killing me. But your video is very well explained!
    2
  45464. Thanks a lot for the video. What is the name of the program used to write?
    2
  45465. Great video as usual!, this definitely will help me with me self study of group theory, can someone recommend me some nice books please.
    2
  45466. I am from India I am in graduation want to do my Major in maths Just want you to answer this for me to begin I need to choose one from each or should I by both at Take every time you put two books at levels So at each level do I need to but both of them or should I buy 1 that I feel is right I am saying is it a better choice to take one or it is a better choice to take two and study from two different books
    2
  45467. I haven't seen the video, but I'm certain it won't help me because it never does; even if whatever you may say makes sense. But I'll pretend I'm going to switch majors from biology to mathematics and watch this video.
    2
  45468. I'm from the United States so I have no idea what I'm talking about but you could also be dealing with a biased sample because nonrockstar students are less likely to be afforded opportunities to study overseas.
    2
  45469. The american math system is so confusing to me(all the names abd like calculus 1,2,3 whatever) I have no idea what i already learned. I'm in sophmore yr. In Germany
    2
  45470. Very clear! Thanks
    2
  45471. Need to get the YouTube Algorithm to stop suggesting me AS Maths question videos with titles like "Most mathematicians can't do this", I just keep getting baited into solving quadratic equations
    2
  45472. You were earlier doing and talking about heavy duty hardcore things - differential equations, partial fractions, engineering maths, abstract algebra and what not. Most of which was going over my head, nonetheless I was trying to get a 'feel' of how hardcore stuff really is.( Suddenly I see this middle school stuff, and I am totally flummoxed. What's going on?
    2
  45473. Great explanation, also thank you very much for publishing these lectures online.
    2
  45474. Thanks for posting this. You're absolutely right!
    2
  45475. Good work😃
    2
  45476. Any updates! I’m thinking of getting it. How’s the read?
    2
  45477.  @hursimear3408  I’ve gone through must of it and definitely would purchase if looking to pursue math major Although it doesn’t go into to much detail on every topic the quantity of topics is definitely amazing As a freshman in college who took multi already I can say that they chapter on line integrals and stokes therome was well done Have no classroom experience with real/complex Analys but still would highly recommend espically if your looking for a good summarizing book
    2
  45478. I claim my power to finally live my dream life hallelujah 🙌🏽❤❤❤🎉
    2
  45479. Thank you!!
    2
  45480. You will never understand how much you’re (encouraging) video’s mean to me ♥️ God bless you!!!!!
    2
  45481. It's just beautiful✨.
    2
  45482. Cambridge tripos make this look like 1st grade
    2
  45483.  @TheMathSorcerer  im sure he was a great guy. anyways thank you :)
    2
  45484. I think Stein’s book is my all time favorite But I’ll give this a try.
    2
  45485. This video just made me poo. It took me back to my college engineering courses, where I Fu<%ing lost my mind when introduced to this mathematical wizardry. Luckily I solved just enough problems to get by and graduate. SPECIAL FUNCTIONS by Larry, more like FUC% YOU UP by Warlock Near You.
    2
  45486. Hey math sorcerer do I need algebra to understand geometry???
    2
  45487. It's true.
    2
  45488. very true and inspiring words... thank you
    2
  45489. as a teacher, how do you deal with student responses that are numerically correct but conceptually wrong? that is, the student got the right result, but does he do it the wrong way? and vice versa?
    2
  45490. I always have a dixon ticonderoga #2 pensil. My pre calc professor said it was the best through his career. I'm a mechanical so we ofc do things differently than all you EEs haha. But I do have a foundation pen classic :)
    2
  45491. Ooh, I'd love more videos for self directed learning! Your channel is gold
    2
  45492. The bookshelf behind tends to be falling.
    2
  45493. 🤍
    2
  45494. Thanks ☺️😊☺️😊 your very help with me
    2
  45495. New subscription 💗💗💕
    2
  45496. I MIGHT BUY THE BOOK; RICHARD.
    2
  45497. I've been using ink pens for my whole life ; never disappointed.
    2
  45498. One teacher of mine said "sometimes you gotta ask the how and leave out the why". You're right just follow the recipes/techniques
    2
  45499. May I ask Speaking of proofs, how does mathematicians study them, I mean in which year they begin to study them, what are the subjects which realy teach you how to write proofs, is it abstract algebra, is it mathematical logic... I know you mathematicians study them in each subject, but which subject can I consider it as the core of writing proofs. Another question, sometimes I encounter some hard proofs even in my study of mathematics books which dedicated for physics and engineering students, which book can you recommend for this problem thank you.
    2
  45500.  @TheMathSorcerer  thanks a lot Mr. Sorcerer
    2
  45501. Thats hilarious couldnt help but get a whiff so funny
    2
  45502. Beautiful method
    2
  45503. Excellent Analysis of this book.I remember having used it for one of the courses myself.
    2
  45504. I really like your plan and books you proposed thank you
    2
  45505. Dummit & Foote crew
    2
  45506. I used to force myself to study past my burn-out period because I told myself I was being lazy. My girlfriend would hide my notebooks or take them with her to work on the weekends to force me to do something else. I've never played so much angry NHL in my life than when I was learning how to study in a healthy, sustainable manner. Keep up that good content!
    2
  45507. nice video
    2
  45508. ♥️♥️♥️
    2
  45509. I feel the same about Joe Rogan! The experts he’s had on, and the great questions he asks, has radically improved my life.
    2
  45510. excelente
    2
  45511. Thank you sooo much
    2
  45512. Consider meeting with a math education professor in the Education Department. (:
    2
  45513. Real reason people struggle to learn is that they have a difficulty for the metaphor let's say it is a receding hairline. They refuse to believe they need to face the issue. Instead they try to treat something that isn't the the problem so it doesn't fix anything. So it is like teasing the hair but the hairline still recedes
    2
  45514. can someone tell me why you cant use your calculator in math exams? its literally made for doing math with it
    1
  45515. "whence"and/or "put"
    1
  45516. Great video , keep up the good work sir
    1
  45517. I think you made a mistake. i^2 = -1, but you put 2. Therefore |z| = sqrt(2)
    1
  45518. the books do be thick 💀
    1
  45519. Which book you would recommend for differential geometry? Thanks.
    1
  45520. This book, I completely agree with you, is so well written. It's one of the best I've ever read in terms of explanations of difficult concepts. The author did a great job, especially for the topics on topology, projective geometry and basic calc. Some of the exercises were doable, but often the way to solve them requires some original thinking! One of my all time favourites, for sure.
    1
  45521. Given any vector in R3 the normal would be <x, y, z> ... the radius of the sphere doesn't really matter...
    1
  45522. Do you have any Diffi Q books?
    1
  45523.  @TheMathSorcerer  Thanks. You should do a video on one of them.
    1
  45524. Nice videos about integrals. I am fan of your channel!! ♥️
    1
  45525. you are cool!
    1
  45526. That advanced calculus book cover brings back memories of the cover. No idea what's inside it any more 😂
    1
  45527. Question, in order for a function to be homogeneous, does it also have to be equal to zero? Because most examples that I can find are equal to zero. And those that aren’t equal to zero are usually called non homogeneous
    1
  45528. Zill is amazing!
    1
  45529. political answer :)
    1
  45530. i would buy you a beer.. You are a true hero! new sub here!
    1
  45531. #off topic #rant #offmychest I remember during transfer week, where all the uni's gather in the quad for transfer students at CC. I met with the advisor to go to UCSC for physics, (They have the best exoplanet research, faculty). The advisor was so useless he dissuaded me from applying when I asked him about part-time scho I communicated my immense enthusiasm to him, He said I asked the best questions, About Campus, Life, Hobbies/Clubs, Campus violence, etc. But as my dilemma with most advisors, I find their pretty useless, and my own google researches lead me with better knowledge then they, I told him that despite my passion, A.D.D. had been a struggle, and that learning at this level took my longer than I had expected despite my efforts. The UCSC advisor said, yeah.... No. Students don't do part-time study or half semesters anymore, they get loans, or something irritably infuriating. That's never been my motto, or my parents. You stabilize yourself, and never be debted to anyone, unless the ulitmate last resort. I was in even greater dismay when my professor a physics alumni/graduate from USCS said not to go as a bachelors, that for what I wanted (faculty attention), to do it as a graduat, but was remedial, and just needed longer to study. After being completly crushed physically, mentally, I suffered a mental breakdown, didn't study for my last chances at physics studying, etc stupid college student things. I recently got my Associates though in Maths from the CC after like 5 years, It really made me feel validated though, and has increased my discipline to another ladder wrung. I'm hoping somehow universities allow those extensions in the future, so if I need more time with a certain section thats causing me truouble, I can spend time with it to understand it, Comprehend it, and then MASTER it, before entering the test exam, and furthering my knowledge. That way I don't end up going through mental breakdowns how I'm gonna pay rent, food, insurance, etc life, while 15 sectionsa behind and 240 pages to read and master in one night. I know that Uni maths is gonna be a bitch and bla bla students on dinosaurs crossed dimensional planes of time and space a subset of a finite group under a closed interval. But shit dude, come on. Something that irritates me about maths is they never want to, ADAPT, IMPROVISE, and overcome. They want us to do archaic computation without a calculator and spend hours doing it, instead of learning the logic, lemmas, colliaries, to prove it ourselvers and no its true, to have the confidence to use the modern tools. Because I can live with it. I CAN LIVE with it.. Computer... Erase that entire personal log.
    1
  45532. lovely thank you so much
    1
  45533. Does this mean im just dumber than other people-
    1
  45534. For me abstract algebra was horrific. Real analysis was tough but algebra was a nightmare.
    1
  45535. I just bumped into your channel, and it's great !!!! keep posting great content please :)
    1
  45536. ARE YOU READY? Yeees Captain
    1
  45537. I felt exactly the same , feeling you’re behind is killing me , i needed this video so bad, Thank you from the bottom of my heart ❤
    1
  45538.  @TheMathSorcerer  Thank you, I also bought your real analysis course from udemy , looking forward to learning some cool concepts from you!!!
    1
  45539. The best pencil’s!
    1
  45540. you are right, it's beautiful when understood :]
    1
  45541. Thank you for the video. You look like a genius.
    1
  45542.  @TheMathSorcerer  Thank you! =)
    1
  45543.  @TheMathSorcerer  Thanks a lot, Sir 🙏
    1
  45544. Sir can I use this book only for theory?
    1
  45545. I love you The Math Sorcerer! You saved my life!!
    1
  45546.  @TheMathSorcerer  lM lrapi Bagdad 🇮🇶
    1
  45547. Thanks for this. Our exam is today
    1
  45548. Thankyou!!!
    1
  45549.  @TheMathSorcerer  Thanks!!
    1
  45550. dude I love you but can you just blink please
    1
  45551. Thanks for this great video!
    1
  45552. Love that lol
    1
  45553. The Math Sorcerer yeah man I was mostly just putting my thoughts here so I could better understand what’s going on. Appreciate the instant feedback to my comment as well that’s nice. Keep up the good work!
    1
  45554. Borrow books from the library and study on your own.
    1
  45555. 8 PhDs??!!! DUDE??!!!
    1
  45556. Awesome Mr. G! I should swing by your office when I have time.
    1
  45557. weirdly I thought calc 3 was the easiest but calc 2 was definitely by far the hardest also professors could’ve been the reason why
    1
  45558. You are deeply in touch with the social psychology of mathematics Wizard.
    1
  45559. Thank you so much
    1
  45560. I ❤ U
    1
  45561. What if my mean was 176 and the standard deviation is 36... would I still do the same formula?...
    1
  45562. just finished this class with an A. thanks for all the helpful videos i used along the way 😁
    1
  45563. Oh my god, thank you!
    1
  45564. Easy to understand from you
    1
  45565. 😂😂😂Fine
    1
  45566. Thaaaaaaaaaaanks!!!
    1
  45567. Thanks so much , you are a passionate guy and you help sooo much people !
    1
  45568. fluid mechanics in the summer and I don't have to take thermodynamics 2. so that's a plus
    1
  45569. any lectures on topology
    1
  45570.  @TheMathSorcerer  thank you I may look at getting it but I bought the one by epp as an E book and the one by chartrand. I may go to the book store later to see if there’s other books that may help me. I’ve got a pretty good background in European history but I’m looking to explore something totally new. Thank you for going through the course from basic to advanced.
    1
  45571. Thankyou thankyou thankyouuuuu 👏👏❤❤you just helped me solve this reeally maddening question
    1
  45572. The times I've been really stuck on something while troubleshooting a problem , it has always been something that I thought about and ruled out without checking to see if it was right.
    1
  45573. The dumbbells on the top shelf of that furniture makes me nervous.
    1
  45574. Mind blowing tricks 🙌🏻🙌🏻🙌🏻👏🏻👏🏻👏🏻
    1
  45575. Loved this story, I was in Radio Television Repair and FCC Licensed Tech in 1973 eh? I learned how to Slam Dunk those Equations with a Slide Rule! There were Tandy Calculators available but the Scientific Calculators were Out of Price in 1973, Slide Rules were $50.00 or less at a Pawn Shop. Tunnel Diodes were just becoming The Thing! I was always building Tweel Curcuits on Bread Boards and the Professors drooled, I was Young and Single. I still have old Electronics Toombes from 1950;s andthe Wiliam Orr Radio Handbook 74th. Edition, full of equasions and UGLY'S Electrical References a yellow spiral bounf fit's in your Shirt Pocket.
    1
  45576. Thank you! This really helpful! Math has been an allergen for me, but I dared myself to take Statistic class as clueless as I am in an asynchronous class. I can't stand read the textbook. Just sad! But Im hanging there. Thanks again!
    1
  45577. sorry I now realized 0 is integer. good video👍
    1
  45578. Olimpiad books
    1
  45579. Love this channel 🤩🤩
    1
  45580. could 2:00 also be said as: a1x^2 + a2x + a3 where 'a' are constants? Like a linear function?
    1
  45581. I think that different people learn in different ways. When I took mathematics at university I had a struggle copying notes from the board because of my eyesight. Sometimes I copied notes without understanding. Now, over 40 years later I am watching Francis Su's lectures on analysis (which I didn't study at university). I thought I understood the first seven lectures but then I thought that I should take some notes in case I forget so I am now making a mind map. I don't regret doing so because there are lots of definitions and theorems.. The good thing about watching videos is that you can "rewind" the lecturer if you don't understand something.
    1
  45582.  @ashishKjr  Thank you! I will check them out.
    1
  45583. You think getting a math degree online as worth it? I personally think if you know the material it doesn't matter how you got to degree LOL edit: I missed my calling in life and went into a stupid Humanities degree where they taught me to hate America I'm getting over it. That's why Im asking what I'm asking.
    1
  45584. Guys he has the genius hair...
    1
  45585. 😤🧐😏🤓
    1
  45586. You look so strong 😂
    1
  45587. Does changing the contour affect the integral? Theoretically, what if you used a square contour instead of a circle (nvm the computability, because why do a harder contour when a circle suffices?) would it change anything?
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  45588. Oh awesome 😍🌸🌸
    1
  45589. Can you do a video about your MIR books?
    1
  45590. Thanks
    1
  45591.  @TheMathSorcerer  it's people like you that allow people like me to learn these beautiful things and grow, I am very grateful. You're doing a great thing here!
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  45592. The standard reference in DEs for octogenarian mathematicians was the voluminous "Theory of Differential Equarions "by A R Forsyth.Forsyth also wrote an introductory book on Differential Equations which is accessible to undergraduates.Regards Dr Sabapathy.
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  45593. Im trying to encourage math(s) undergrads to get this and read the topics before doing the courses - the cgapters are short enough that even if you cant follow everything you can use them to buikd a loose framework of the topic in your head before doing the course. This is particularly true for lin algebra which conveniently can be read in the amazon free sample online.
    1
  45594. Have you read "Abstract Algebra: An Introductory Course" by Gregory T.Lee? It's another Springer, cover looks very similar to Lang's and was free with Springer covid relief collection and now available on some less than upstanding websites. I also wonder if you have read "The Elements of Eulid" by Oliver Byrne? Seems to be out of print as it's on archive org, but is very colorful.
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  45595. Gostei!
    1
  45596. 1 must be very intimidating to 2, 3 and 4 because it holds true for 1, and it collapses untill 5 comes
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  45597. Damn, some really good stuff here!
    1
  45598. 👍
    1
  45599. Thanks brother
    1
  45600. Cool problem!🤙🤙
    1
  45601.  @TheMathSorcerer  thank you for the reply! I will have to look into who teaches it when it's coming up; I have a couple semesters my last year I'll need to add additional courses to in order stay a full time student and I've been interested in picking a couple higher maths if I it looks like I could handle them. I really enjoy watching your videos in the meantime!
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  45602. Me está ayudando muchísimo sus clases, muchas gracias
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  45603. I love old books! I have a copy of the Practical Mechanic, from 1879, that belonged to R.D. Tackaberry, who was a prominent inventor from the area. He went on to hold a number of patents in all sorts of things from textile industry and beyond. He was 15 when he got that book. which he must have spent a months wages on, since it was $2.50 at the time. It's a fascinating trip into the past, as it is filled with his handwritten notes (in quill ink!) including summations of sections, and even corrections regarding gear tooth profiles and stuff. It's one of my most prized possessions. :)
    1
  45604. Thanks, a very clear video. There is a little mistake in the title : it should be "(t^3/4)k" instead of "(t^3/4)j".
    1
  45605. Thank you!!!
    1
  45606. This book is a must-have!!! :)
    1
  45607. thanks
    1
  45608. I have been on break for about 40 years.
    1
  45609. 3rd Comment
    1
  45610. hey! this question was on my exam yesterday! i couldn't thank you more !!
    1
  45611. And then there's Discreet Math for Introverts
    1
  45612. very helpful video
    1
  45613. The own Springer is giving this book for download in the flowing link: https://link.springer.com/book/10.1007%2F978-1-4614-6271-2 Sorry any mistakes, my English is a work in progress.
    1
  45614. Tq so much sir being this useful vedio...
    1
  45615. The second integral is the negative of the first: you reversed an odd number (three) of coordinates.
    1
  45616. Man, I needed this. This semester has been scaring me cause I’m taking more higher level courses and I have been doubting myself lately :)
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  45617. The trick is to bite off more than you can chew, then chew it.
    1
  45618. Thanks from Austria!
    1
  45619. I want to learn real analysis but I find it difficult. How do you learn the proofs?
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  45620.  @TheMathSorcerer  Yes I just found out. Thanks for your help as always!
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  45621. thanks sir
    1
  45622. woo thanx thats a wonderful work done
    1
  45623. You saved me!!!
    1
  45624. "Im definitely not always late"... yea right
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  45625. Dear sir, I lack the money for actual books so what I can I download from the net. What is your opinion about it. Me, myself have a sinking feeling I would really like to have the actual stuff in my hands but maybe it doesn't matter that much. Sincerely, Jurgen - Netherlands
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  45626.  @TheMathSorcerer  OK thank u so much
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  45627. Love the channel and love math (not a huge fan of topology, however).. My Rudin Principles of Mathematical Analysis book is still on my shelf and I reference it still today quite a bit...
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  45628. great!
    1
  45629. This but with also a small home gym would be bliss
    1
  45630.  @TheMathSorcerer  hello T~T
    1
  45631. Lookin jacked
    1
  45632. I like your videos man keep it up
    1
  45633. Thank you !!
    1
  45634.  @TheMathSorcerer  Thanks, I'll try to keep up with some books I've left behind :)
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  45635. ❤️❤️
    1
  45636. Excellent video.
    1
  45637. You lost me at the spot where you put the 4 in
    1
  45638. thanks bro
    1
  45639. I think math is a way for us to understand absolute truth about the universe. the theorems and definitions might be man-made, but they are true regardless of how we call them or if we know about them at all.
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  45640.  @TheMathSorcerer  Also, great video.
    1
  45641. Helped a lot <3
    1
  45642. super awesome.
    1
  45643. How someone has a channel and courses on Udemy and we do not know anything about this guy? His description of himself makes nonsense...he pretends to sell himself as a mysterious guy? come on...
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  45644.  @TheMathSorcerer  if you have the Classical Mechanics book by Taylor please review it!
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  45645. Sweeeeeeeeeeeet
    1
  45646.  @TheMathSorcerer  Okay, thanks for the quick response :D.
    1
  45647. i love you, thank you so much
    1
  45648.  @TheMathSorcerer  thx dude
    1
  45649. Lol
    1
  45650. Or Corona ;)
    1
  45651. Love your channel! I’m a new subscriber, but i’m already a big fan. Thank you sir!
    1
  45652. I love this guy, you're awesome, thanks 😊
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  45653. How many courses does this book cover? I think this book covers ~10 courses (because that's approx how many chapters I see, and because approximately every chapter of this book reminds me of a course I would have taken in school). It looks like a really good overview book, and it looks like it might cover the most safety-critical aspects of the EE profession. Is this a testing book you guys use in America? Excuse my ignorance, I'm an EE from Canadia eh. Anywho, regarding your book. There are some topics missing that I do remember doing, that I don't see in the book (but again, your book looks like it's meant to test really specific, really safety critical stuff). I see a lot of control theory and power engineering in your book, with a little dash of circuits and economics. What I don't see any mention of things such as linear algebra and numerical methods (for when analytic solutions fail in calculus); this was yr 1 and 2. I don't see chemistry or semiconductor chemistry which is years 1 and 2. I do see lots of calc concepts in that first Mathematics chapter, which is years 1, 2, 3 and let's be honest, 4-life for an EE. I do see digital logic in your book, which was years 1 & 2. I see basic circuits, which was year 1 & 2, looking at linear amplifiers. I don't see advanced or (analog/digital) integrated circuits which was yr 3 & 4 (these woulda been electives tho, so makes sense why I wouldn't see 'em in ur book). I see power and transmission lines which was year 2 & 3. I see rotating machines which was year 3. I do not see photonics or wireless, although on second thought, illumination would actually be the intro to photonics I suppose; that said, I don't see any mention of concepts like carrier waves and antennas and smithcharts and such which was years 3 & 4 (again, electives, so it makes sense). I do see introductory control theory, which I'm assuming touches on PID but not state space. I don't see annnny software fundamentals which some EE's build their whole life around just that sub-area of EE ... actually it's such a deep topic for some EE's that we even turned it into it's own category and we now call those EE's "software engineers" but it all comes from EE because without fast computers to run software, using light and radio waves and electrons for representing our data, we wouldn't even have a need for developing software. I'm surprised software isn't mentioned at all in the book since it's a big deal to most EE's (just like loops, conditionals, syntax, algos/data structs, and big o). I also don't see thermo dynamics and I also don't see probability theory anywhere which were mandatory for everyone. So you're book covers: math (calc basics) 1, linear circuits and measuring waveforms with a meter 2, signals and systems course is covered under time and freq analysis so that's 3, power and transmission lines and motors are each their own course where I'm from so that's 4 5 and 6, then the book has digital logic so that's 7, the book has control theory which is 8, and I see illumination which is basically photonics course so 9, and i see economics for engineers which was also a course, so that's 10. I don't see the tears of any EE students, permanently etched into the pages of your book however, so I can't tell if the video is a fake. Thanks for coming to my antiEEques roadshow.
    1
  45654. Woah look at you LJ!! That’s awesome!!
    1
  45655. 3:57 At least I have the same sharpener. Number 26 was nice.
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  45656. BTW I think there are selected solutions on the publisher web page. Not 100% certain…
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  45657. I procrastinate so much that I'll save this video to watch later
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  45658. Awesome video….. The information will greatly help my interest in mathematics!
    1
  45659. Wonderful.
    1
  45660. When I saw the title of the video, I thought this video would be actually useless But after watching it, I am taking away a really great piece of advice. Thanks! But tbh those long waste hours you spend on a problem actually teaches you a lot!
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  45661. Pi/2 is equal to 1.507. Love you dood
    1
  45662. You’re so awesome lol thanks !
    1
  45663. IVT explanation I understood and could apply...great video!
    1
  45664. Todah rabbah!
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